From 099c1bbef45d2384c3ebe640a211f9f2bf9daaa1 Mon Sep 17 00:00:00 2001 From: barzanisar Date: Thu, 14 Dec 2017 21:12:31 +0100 Subject: [PATCH 1/3] contains nmpc_solver_setup_mrp_hex_shadow.m for switching to shadow set --- .../position_controller_interface.h | 2 + .../src/mav_control_interface_impl.cpp | 5 +- .../src/mav_control_interface_impl.h | 3 +- .../src/position_controller_interface.cpp | 6 + mav_control_interface/src/state_machine.cpp | 33 +- mav_control_interface/src/state_machine.cpp~ | 151 + mav_control_interface/src/state_machine.h | 18 +- mav_control_interface/src/state_machine.h~ | 598 +++ mav_modified_rodrigues_nmpc/CMakeLists.txt | 80 + mav_modified_rodrigues_nmpc/CMakeLists.txt~ | 80 + .../cfg/NonLinearMPC.cfg | 45 + .../cfg/NonLinearMPC.cfg~ | 39 + .../cmake/FindOpenBLAS.cmake | 42 + .../modified_rodrigues_nmpc.h | 251 ++ .../modified_rodrigues_nmpc.h~ | 258 ++ .../modified_rodrigues_nmpc_node.h | 118 + .../modified_rodrigues_nmpc_node.h~ | 120 + .../variable_pitch_nmpc.h~ | 259 ++ .../variable_pitch_nmpc_node.h~ | 118 + .../launch/mav_modified_rodrigues_nmpc.launch | 14 + .../mav_modified_rodrigues_nmpc.launch~ | 14 + .../mav_modified_rodrigues_nmpc_sim.launch | 14 + .../mav_modified_rodrigues_nmpc_sim.launch~ | 14 + .../launch/mav_nonlinear_mpc.launch~ | 14 + .../launch/mav_nonlinear_mpc_sim.launch~ | 14 + .../mav_variable_pitch_nmpc_sim.launch~ | 14 + mav_modified_rodrigues_nmpc/package.xml | 25 + mav_modified_rodrigues_nmpc/package.xml~ | 25 + .../modified_rodrigues_nmpc_hummingbird.yaml | 61 + .../modified_rodrigues_nmpc_hummingbird.yaml~ | 61 + .../modified_rodrigues_nmpc_neo11.yaml | 63 + .../modified_rodrigues_nmpc_neo11.yaml~ | 63 + .../variable_pitch_nmpc_hummingbird.yaml~ | 58 + mav_modified_rodrigues_nmpc/solver/Makefile | 70 + .../solver/acado_auxiliary_functions.c | 212 + .../solver/acado_auxiliary_functions.h | 138 + .../solver/acado_common.h | 351 ++ .../solver/acado_integrator.c | 2441 +++++++++++ .../solver/acado_qpoases_interface.cpp | 70 + .../solver/acado_qpoases_interface.hpp | 65 + .../solver/acado_solver.c | 2596 +++++++++++ .../solver/acado_solver_mex.c | 554 +++ .../solver/make_acado_solver.m | 85 + .../solver/mav_modified_rodrigues_nmpc.cpp | 175 + .../solver/mav_modified_rodrigues_nmpc_RUN.m | 0 .../mav_modified_rodrigues_nmpc_RUN.mexa64 | Bin 0 -> 8373252 bytes ...ified_rodrigues_nmpc_data_acadodata_M1.txt | 16 + ...ified_rodrigues_nmpc_data_acadodata_M2.txt | 6 + .../solver/nmpc_solver_setup_mrp.m | 131 + .../solver/nmpc_solver_setup_mrp_hex.m | 145 + .../solver/nmpc_solver_setup_mrp_hex_shadow.m | 139 + .../nmpc_solver_setup_mrp_hex_shadow.m~ | 140 + .../solver/qpoases/EXAMPLES/example1.cpp | 74 + .../solver/qpoases/EXAMPLES/example1b.cpp | 69 + .../solver/qpoases/INCLUDE/Bounds.hpp | 189 + .../solver/qpoases/INCLUDE/Constants.hpp | 108 + .../solver/qpoases/INCLUDE/Constraints.hpp | 181 + .../solver/qpoases/INCLUDE/CyclingManager.hpp | 126 + .../INCLUDE/EXTRAS/SolutionAnalysis.hpp | 107 + .../solver/qpoases/INCLUDE/Indexlist.hpp | 154 + .../qpoases/INCLUDE/MessageHandling.hpp | 415 ++ .../solver/qpoases/INCLUDE/QProblem.hpp | 666 +++ .../solver/qpoases/INCLUDE/QProblemB.hpp | 628 +++ .../solver/qpoases/INCLUDE/SubjectTo.hpp | 178 + .../solver/qpoases/INCLUDE/Types.hpp | 131 + .../solver/qpoases/INCLUDE/Utils.hpp | 197 + .../solver/qpoases/LICENSE.txt | 504 +++ .../solver/qpoases/README.txt | 92 + .../solver/qpoases/SRC/Bounds.cpp | 252 ++ .../solver/qpoases/SRC/Bounds.ipp | 144 + .../solver/qpoases/SRC/Constraints.cpp | 248 ++ .../solver/qpoases/SRC/Constraints.ipp | 144 + .../solver/qpoases/SRC/CyclingManager.cpp | 188 + .../solver/qpoases/SRC/CyclingManager.ipp | 51 + .../qpoases/SRC/EXTRAS/SolutionAnalysis.cpp | 434 ++ .../solver/qpoases/SRC/Indexlist.cpp | 342 ++ .../solver/qpoases/SRC/Indexlist.ipp | 85 + .../solver/qpoases/SRC/MessageHandling.cpp | 529 +++ .../solver/qpoases/SRC/MessageHandling.ipp | 137 + .../solver/qpoases/SRC/QProblem.cpp | 3867 +++++++++++++++++ .../solver/qpoases/SRC/QProblem.ipp | 299 ++ .../solver/qpoases/SRC/QProblemB.cpp | 2151 +++++++++ .../solver/qpoases/SRC/QProblemB.ipp | 425 ++ .../solver/qpoases/SRC/SubjectTo.cpp | 200 + .../solver/qpoases/SRC/SubjectTo.ipp | 132 + .../solver/qpoases/SRC/Utils.cpp | 471 ++ .../solver/qpoases/SRC/Utils.ipp | 51 + .../solver/qpoases/VERSIONS.txt | 87 + mav_modified_rodrigues_nmpc/solver/test.c | 119 + .../src/modified_rodrigues_nmpc.cc | 647 +++ .../src/modified_rodrigues_nmpc.cc~ | 575 +++ .../src/modified_rodrigues_nmpc_node.cc | 209 + .../src/modified_rodrigues_nmpc_node.cc~ | 198 + .../src/variable_pitch_nmpc.cc~ | 803 ++++ .../src/variable_pitch_nmpc_node.cc~ | 206 + 95 files changed, 26802 insertions(+), 25 deletions(-) create mode 100644 mav_control_interface/src/state_machine.cpp~ create mode 100644 mav_control_interface/src/state_machine.h~ create mode 100644 mav_modified_rodrigues_nmpc/CMakeLists.txt create mode 100644 mav_modified_rodrigues_nmpc/CMakeLists.txt~ create mode 100755 mav_modified_rodrigues_nmpc/cfg/NonLinearMPC.cfg create mode 100755 mav_modified_rodrigues_nmpc/cfg/NonLinearMPC.cfg~ create mode 100644 mav_modified_rodrigues_nmpc/cmake/FindOpenBLAS.cmake create mode 100644 mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc.h create mode 100644 mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc.h~ create mode 100644 mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc_node.h create mode 100644 mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc_node.h~ create mode 100644 mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/variable_pitch_nmpc.h~ create mode 100644 mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/variable_pitch_nmpc_node.h~ create mode 100644 mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc.launch create mode 100644 mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc.launch~ create mode 100644 mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc_sim.launch create mode 100644 mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc_sim.launch~ create mode 100644 mav_modified_rodrigues_nmpc/launch/mav_nonlinear_mpc.launch~ create mode 100644 mav_modified_rodrigues_nmpc/launch/mav_nonlinear_mpc_sim.launch~ create mode 100644 mav_modified_rodrigues_nmpc/launch/mav_variable_pitch_nmpc_sim.launch~ create mode 100644 mav_modified_rodrigues_nmpc/package.xml create mode 100644 mav_modified_rodrigues_nmpc/package.xml~ create mode 100644 mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_hummingbird.yaml create mode 100644 mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_hummingbird.yaml~ create mode 100644 mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_neo11.yaml create mode 100644 mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_neo11.yaml~ create mode 100644 mav_modified_rodrigues_nmpc/resources/variable_pitch_nmpc_hummingbird.yaml~ create mode 100644 mav_modified_rodrigues_nmpc/solver/Makefile create mode 100644 mav_modified_rodrigues_nmpc/solver/acado_auxiliary_functions.c create mode 100644 mav_modified_rodrigues_nmpc/solver/acado_auxiliary_functions.h create mode 100644 mav_modified_rodrigues_nmpc/solver/acado_common.h create mode 100644 mav_modified_rodrigues_nmpc/solver/acado_integrator.c create mode 100644 mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/acado_solver.c create mode 100644 mav_modified_rodrigues_nmpc/solver/acado_solver_mex.c create mode 100644 mav_modified_rodrigues_nmpc/solver/make_acado_solver.m create mode 100644 mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_RUN.m create mode 100755 mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_RUN.mexa64 create mode 100644 mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_data_acadodata_M1.txt create mode 100644 mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_data_acadodata_M2.txt create mode 100644 mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp.m create mode 100644 mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex.m create mode 100644 mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex_shadow.m create mode 100644 mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex_shadow.m~ create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/EXAMPLES/example1.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/EXAMPLES/example1b.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Bounds.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Constants.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Constraints.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/CyclingManager.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/EXTRAS/SolutionAnalysis.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Indexlist.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/MessageHandling.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/QProblem.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/QProblemB.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/SubjectTo.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Types.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Utils.hpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/LICENSE.txt create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/README.txt create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Bounds.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Bounds.ipp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Constraints.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Constraints.ipp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/CyclingManager.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/CyclingManager.ipp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/EXTRAS/SolutionAnalysis.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Indexlist.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Indexlist.ipp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/MessageHandling.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/MessageHandling.ipp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblem.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblem.ipp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblemB.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblemB.ipp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/SubjectTo.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/SubjectTo.ipp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Utils.cpp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Utils.ipp create mode 100644 mav_modified_rodrigues_nmpc/solver/qpoases/VERSIONS.txt create mode 100644 mav_modified_rodrigues_nmpc/solver/test.c create mode 100644 mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc.cc create mode 100644 mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc.cc~ create mode 100644 mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc create mode 100644 mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc~ create mode 100644 mav_modified_rodrigues_nmpc/src/variable_pitch_nmpc.cc~ create mode 100644 mav_modified_rodrigues_nmpc/src/variable_pitch_nmpc_node.cc~ diff --git a/mav_control_interface/include/mav_control_interface/position_controller_interface.h b/mav_control_interface/include/mav_control_interface/position_controller_interface.h index 86eae20..a9082aa 100644 --- a/mav_control_interface/include/mav_control_interface/position_controller_interface.h +++ b/mav_control_interface/include/mav_control_interface/position_controller_interface.h @@ -51,6 +51,8 @@ class PositionControllerInterface { mav_msgs::EigenRollPitchYawrateThrust* attitude_thrust_command); virtual bool calculateAttitudeThrustCommand(mav_msgs::EigenAttitudeThrust* attitude_thrust_command); + + virtual bool calculateForcesCommand(mav_msgs::Actuators* forces_command); }; } /* namespace mav_flight_manager */ diff --git a/mav_control_interface/src/mav_control_interface_impl.cpp b/mav_control_interface/src/mav_control_interface_impl.cpp index 5b53298..2833a81 100644 --- a/mav_control_interface/src/mav_control_interface_impl.cpp +++ b/mav_control_interface/src/mav_control_interface_impl.cpp @@ -19,6 +19,7 @@ #include #include #include +#include #include #include "mav_control_interface_impl.h" @@ -72,7 +73,7 @@ MavControlInterfaceImpl::MavControlInterfaceImpl(ros::NodeHandle& nh, ros::NodeH ROS_WARN("rc_teleop_max_carrot_distance_yaw_ was limited to pi/2. This is by far enough."); } - interface_nh.param("rc_max_roll_pitch_command", p.rc_max_roll_pitch_command_, + interface_nh.param("rc_max_roll_pitch_command", p.rc_max_roll_pitch_command_, Parameters::kDefaultRcMaxRollPitchCommand); interface_nh.param("rc_max_yaw_rate_command", p.rc_max_yaw_rate_command_, Parameters::kDefaultRcMaxYawRateCommand); @@ -101,7 +102,7 @@ void MavControlInterfaceImpl::RcUpdatedCallback(const RcInterfaceBase& rc_interf void MavControlInterfaceImpl::CommandPoseCallback(const geometry_msgs::PoseStampedConstPtr& msg) { - + //ROS_INFO_STREAM("command pose callback"); mav_msgs::EigenTrajectoryPoint reference; mav_msgs::eigenTrajectoryPointFromPoseMsg(*msg, &reference); diff --git a/mav_control_interface/src/mav_control_interface_impl.h b/mav_control_interface/src/mav_control_interface_impl.h index f45ca32..72a679d 100644 --- a/mav_control_interface/src/mav_control_interface_impl.h +++ b/mav_control_interface/src/mav_control_interface_impl.h @@ -69,7 +69,8 @@ class MavControlInterfaceImpl bool TakeoffCallback(std_srvs::EmptyRequest& request, std_srvs::EmptyResponse& response); bool BackToPositionHoldCallback(std_srvs::Empty::Request& request, std_srvs::Empty::Response& response); - void publishAttitudeCommand(const mav_msgs::RollPitchYawrateThrust& command); + // void publishAttitudeCommand(const mav_msgs::RollPitchYawrateThrust& command); + // void publishForcesCommand(const mav_msgs::Actuators& command); }; } /* namespace mav_control_interface */ diff --git a/mav_control_interface/src/position_controller_interface.cpp b/mav_control_interface/src/position_controller_interface.cpp index 418fd6f..dad9b8e 100644 --- a/mav_control_interface/src/position_controller_interface.cpp +++ b/mav_control_interface/src/position_controller_interface.cpp @@ -49,4 +49,10 @@ bool PositionControllerInterface::calculateAttitudeThrustCommand( return false; } +bool PositionControllerInterface::calculateForcesCommand(mav_msgs::Actuators* forces_command) { + ROS_WARN_STREAM_THROTTLE(1, "calculateForcesCommand() not implemented for controller " + << this->getName()); + return false; +} + } /* namespace mav_flight_manager */ diff --git a/mav_control_interface/src/state_machine.cpp b/mav_control_interface/src/state_machine.cpp index 3b01663..b8666e0 100644 --- a/mav_control_interface/src/state_machine.cpp +++ b/mav_control_interface/src/state_machine.cpp @@ -34,6 +34,10 @@ StateMachineDefinition::StateMachineDefinition(const ros::NodeHandle& nh, const command_publisher_ = nh_.advertise( mav_msgs::default_topics::COMMAND_ROLL_PITCH_YAWRATE_THRUST, 1); + forces_command_publisher_ = nh_.advertise( + "command/motor_speed" , 1); + + current_reference_publisher_ = nh_.advertise( "command/current_reference", 1); @@ -42,8 +46,6 @@ StateMachineDefinition::StateMachineDefinition(const ros::NodeHandle& nh, const private_nh_.param("use_rc_teleop", use_rc_teleop_, true); private_nh_.param("reference_frame", reference_frame_id_, "odom"); predicted_state_publisher_ = nh_.advertise( "predicted_state", 0 ); - full_predicted_state_publisher_ = - nh_.advertise( "full_predicted_state", 1 ); } void StateMachineDefinition::SetParameters(const Parameters& parameters) @@ -63,9 +65,19 @@ void StateMachineDefinition::PublishAttitudeCommand ( msg->header.stamp = ros::Time::now(); // TODO(acmarkus): get from msg mav_msgs::msgRollPitchYawrateThrustFromEigen(command, msg.get()); - command_publisher_.publish(msg); + command_publisher_.publish(msg); +} + + +void StateMachineDefinition::PublishForcesCommand(const mav_msgs::Actuators& command_msg) const +{ + mav_msgs::Actuators msg = command_msg; + msg.header.stamp = ros::Time::now(); + forces_command_publisher_.publish(msg); + } + void StateMachineDefinition::PublishStateInfo(const std::string& info) { if (state_info_publisher_.getNumSubscribers() > 0) { @@ -129,21 +141,6 @@ void StateMachineDefinition::PublishPredictedState() predicted_state_publisher_.publish(marker_queue); } - if (full_predicted_state_publisher_.getNumSubscribers() > 0) { - mav_msgs::EigenTrajectoryPointDeque predicted_state; - controller_->getPredictedState(&predicted_state); - - trajectory_msgs::MultiDOFJointTrajectory msg; - msgMultiDofJointTrajectoryFromEigen(predicted_state, &msg); - - //add in timestamp information - if (!predicted_state.empty()) { - msg.header.stamp.fromNSec(predicted_state.front().timestamp_ns - - predicted_state.front().time_from_start_ns); - } - - full_predicted_state_publisher_.publish(msg); - } } } // end namespace state_machine diff --git a/mav_control_interface/src/state_machine.cpp~ b/mav_control_interface/src/state_machine.cpp~ new file mode 100644 index 0000000..06c520e --- /dev/null +++ b/mav_control_interface/src/state_machine.cpp~ @@ -0,0 +1,151 @@ +/* +* Copyright (c) 2015, Markus Achtelik, ASL, ETH Zurich, Switzerland +* You can contact the author at +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include +#include +#include + +#include "state_machine.h" + +namespace mav_control_interface { + +namespace state_machine { + +StateMachineDefinition::StateMachineDefinition(const ros::NodeHandle& nh, const ros::NodeHandle& private_nh, + std::shared_ptr controller) + :nh_(nh), + private_nh_(private_nh), + controller_(controller) +{ + command_publisher_ = nh_.advertise( + mav_msgs::default_topics::COMMAND_ROLL_PITCH_YAWRATE_THRUST, 1); + + forces_command_publisher_ = nh_.advertise( + mav_msgs::default_topics::COMMAND_ACTUATORS, 1); + + current_reference_publisher_ = nh_.advertise( + "command/current_reference", 1); + + state_info_publisher_ = nh_.advertise("state_machine/state_info", 1, true); + + private_nh_.param("use_rc_teleop", use_rc_teleop_, true); + private_nh_.param("reference_frame", reference_frame_id_, "odom"); + predicted_state_publisher_ = nh_.advertise( "predicted_state", 0 ); +} + +void StateMachineDefinition::SetParameters(const Parameters& parameters) +{ + parameters_ = parameters; +} + +void StateMachineDefinition::PublishAttitudeCommand ( + const mav_msgs::EigenRollPitchYawrateThrust& command) const +{ + mav_msgs::RollPitchYawrateThrustPtr msg(new mav_msgs::RollPitchYawrateThrust); + + mav_msgs::EigenRollPitchYawrateThrust tmp_command = command; + tmp_command.thrust.x() = 0; + tmp_command.thrust.y() = 0; + tmp_command.thrust.z() = std::max(0.0, command.thrust.z()); + + msg->header.stamp = ros::Time::now(); // TODO(acmarkus): get from msg + mav_msgs::msgRollPitchYawrateThrustFromEigen(command, msg.get()); + command_publisher_.publish(msg); +} + +void StateMachineDefinition::PublishForcesCommand( + const mav_msgs::EigenActuators& command) const +{ + mav_msgs::ActuatorsPtr msg(new mav_msgs::Actuators); + + msg->header.stamp = ros::Time::now(); + mav_msgs::msgActuatorsFromEigen(command, msg.get()); + msg->angular_velocities.clear(); + forces_command_publisher_.publish(msg); +} + + + + +void StateMachineDefinition::PublishStateInfo(const std::string& info) +{ + if (state_info_publisher_.getNumSubscribers() > 0) { + std_msgs::StringPtr msg(new std_msgs::String); + msg->data = info; + state_info_publisher_.publish(msg); + } +} + +void StateMachineDefinition::PublishCurrentReference() +{ + ros::Time time_now = ros::Time::now(); + mav_msgs::EigenTrajectoryPoint current_reference; + controller_->getCurrentReference(¤t_reference); + + tf::Quaternion q; + tf::Vector3 p; + tf::vectorEigenToTF(current_reference.position_W, p); + tf::quaternionEigenToTF(current_reference.orientation_W_B, q); + + tf::Transform transform; + transform.setOrigin(p); + transform.setRotation(q); + + transform_broadcaster_.sendTransform( + tf::StampedTransform(transform, time_now, reference_frame_id_, nh_.getNamespace() + "/current_reference")); + + if (current_reference_publisher_.getNumSubscribers() > 0) { + trajectory_msgs::MultiDOFJointTrajectoryPtr msg(new trajectory_msgs::MultiDOFJointTrajectory); + mav_msgs::msgMultiDofJointTrajectoryFromEigen(current_reference, msg.get()); + msg->header.stamp = time_now; + msg->header.frame_id = reference_frame_id_; + current_reference_publisher_.publish(msg); + } +} + +void StateMachineDefinition::PublishPredictedState() +{ + if (predicted_state_publisher_.getNumSubscribers() > 0) { + mav_msgs::EigenTrajectoryPointDeque predicted_state; + controller_->getPredictedState(&predicted_state); + visualization_msgs::Marker marker_queue; + marker_queue.header.frame_id = reference_frame_id_; + marker_queue.header.stamp = ros::Time(); + marker_queue.type = visualization_msgs::Marker::LINE_STRIP; + marker_queue.scale.x = 0.05; + marker_queue.color.a = 1.0; + marker_queue.color.r = 1.0; + + // marker_heading.type = visualization_msgs::Marker::ARROW; + { + for (size_t i = 0; i < predicted_state.size(); i++) { + geometry_msgs::Point p; + p.x = predicted_state.at(i).position_W(0); + p.y = predicted_state.at(i).position_W(1); + p.z = predicted_state.at(i).position_W(2); + marker_queue.points.push_back(p); + } + } + + predicted_state_publisher_.publish(marker_queue); + } + +} + +} // end namespace state_machine + +} // namespace mav_control_interface diff --git a/mav_control_interface/src/state_machine.h b/mav_control_interface/src/state_machine.h index 1140ca4..5edd652 100644 --- a/mav_control_interface/src/state_machine.h +++ b/mav_control_interface/src/state_machine.h @@ -35,6 +35,7 @@ #include #include #include +#include #include #include @@ -144,6 +145,8 @@ class StateMachineDefinition : public msm_front::state_machine_def // Start Event Next Action Guard // +---------+-------------+---------+---------------------------+----------------------+ msm_front::Row >, @@ -208,12 +211,12 @@ class StateMachineDefinition : public msm_front::state_machine_def controller_; ros::Publisher command_publisher_; + ros::Publisher forces_command_publisher_; ros::Publisher state_info_publisher_; tf::TransformBroadcaster transform_broadcaster_; ros::Publisher current_reference_publisher_; ros::Publisher predicted_state_publisher_; - ros::Publisher full_predicted_state_publisher_; Parameters parameters_; mav_msgs::EigenOdometry current_state_; mav_msgs::EigenTrajectoryPointDeque current_reference_queue_; @@ -222,6 +225,7 @@ class StateMachineDefinition : public msm_front::state_machine_def void operator()(EVT const& evt, FSM& fsm, SourceState&, TargetState&) { - mav_msgs::EigenRollPitchYawrateThrust command; - fsm.controller_->calculateRollPitchYawrateThrustCommand(&command); - fsm.PublishAttitudeCommand(command); + //ROS_INFO_STREAM("We are in Compute Command "); + //mav_msgs::EigenRollPitchYawrateThrust command; + //fsm.controller_->calculateRollPitchYawrateThrustCommand(&command); + //fsm.PublishAttitudeCommand(command); + + mav_msgs::Actuators turning_velocities_msg; + fsm.controller_->calculateForcesCommand(&turning_velocities_msg); + fsm.PublishForcesCommand(turning_velocities_msg); fsm.PublishCurrentReference(); fsm.PublishPredictedState(); } }; + struct SetReferenceFromRc { double YawWrap(double yaw) diff --git a/mav_control_interface/src/state_machine.h~ b/mav_control_interface/src/state_machine.h~ new file mode 100644 index 0000000..109a387 --- /dev/null +++ b/mav_control_interface/src/state_machine.h~ @@ -0,0 +1,598 @@ +/* + * Copyright (c) 2015, Markus Achtelik, ASL, ETH Zurich, Switzerland + * You can contact the author at + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +/** + * This implements the state machine that can be seen and edited here: + * https://drive.google.com/file/d/0B6zP-RNkbXDcRFZENUF6MEhFbW8/view?usp=sharing + * The pdf and svg can be found in the resource folder. + */ + +#ifndef STATE_MACHINE_H_ +#define STATE_MACHINE_H_ + +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include +#include + +#include +#include +#include "parameters.h" + +#include + +namespace mav_control_interface { + +namespace state_machine { + +namespace msm_front = boost::msm::front; +namespace mpl = boost::mpl; +namespace euml = msm_front::euml; + +// Events, best outside class declaration. +struct RcUpdate +{ + RcUpdate(const RcData& _rc_data, bool _is_active, bool _is_on) + : rc_data(_rc_data), + is_active(_is_active), + is_on(_is_on) + { + } + RcData rc_data; + bool is_active; + bool is_on; +}; + +struct ReferenceUpdate +{ + ReferenceUpdate(const mav_msgs::EigenTrajectoryPointDeque& _references) + : references(_references) + { + } + + mav_msgs::EigenTrajectoryPointDeque references; +}; + +struct OdometryUpdate +{ + OdometryUpdate(const mav_msgs::EigenOdometry& _odometry) + : odometry(_odometry) + { + } + + mav_msgs::EigenOdometry odometry; +}; + +struct BackToPositionHold {}; +struct Takeoff {}; +struct OdometryWatchdog {}; + +class StateMachineDefinition; +//typedef boost::msm::back::state_machine StateMachine; +// Comment this in, instead of the above, for compile-time state machine analysis. +// See http://www.boost.org/doc/libs/1_58_0/libs/msm/doc/HTML/ch03s05.html#d0e2624 +typedef boost::msm::back::state_machine StateMachine; + +class StateMachineDefinition : public msm_front::state_machine_def +{ + private: + ros::NodeHandle nh_; + ros::NodeHandle private_nh_; + + // States, more convenient to have in state machine. + struct Inactive; + struct RemoteControl; + struct RemoteControlReadyForOdometry; + struct HaveOdometry; + struct PositionHold; + struct RcTeleOp; + + // Actions + struct SetReferenceAttitude; + struct SetReferencePosition; + struct SetReferenceToCurrentPosition; + struct SetOdometry; + struct ComputeCommand; + struct SetReferenceFromRc; + struct SetTakeoffCommands; + struct PrintOdometryWatchdogWarning; + + // Guards + struct UseRCTeleop; + struct RcModeManual; + struct RcModePosition; + struct RcActive; + struct RcOn; + struct OdometryOutdated; + + public: + // Define initial state. Boost looks for "initial_state". + typedef Inactive initial_state; + typedef int no_exception_thrown; + + // Some convenience typedefs to make the table below more readable: + typedef euml::Not_ NoRCTeleop; + typedef msm_front::ActionSequence_ > SetOdometryAndCompute; + typedef euml::Not_ RcInactive; + typedef euml::And_ RcActivePosition; + typedef euml::And_ RcInactivePosition; + typedef euml::Not_ RcModeNotManual; + typedef msm_front::none InternalTransition; + typedef msm_front::none NoAction; + typedef msm_front::none NoGuard; + + // Now define transition table: + struct transition_table : boost::mpl::vector< + // Start Event Next Action Guard + // +---------+-------------+---------+---------------------------+----------------------+ + msm_front::Row >, + msm_front::Row, + msm_front::Row, + msm_front::Row, + msm_front::Row, + // +---------+-------------+---------+---------------------------+----------------------+ + msm_front::Row, + msm_front::Row, + msm_front::Row, + // +---------+-------------+---------+---------------------------+----------------------+ + msm_front::Row, + msm_front::Row, + msm_front::Row, + msm_front::Row, + // +---------+-------------+---------+---------------------------+----------------------+ + msm_front::Row, + msm_front::Row, + msm_front::Row, + msm_front::Row, + msm_front::Row, + // +---------+-------------+---------+---------------------------+----------------------+ + msm_front::Row, + msm_front::Row, + msm_front::Row, + msm_front::Row, + msm_front::Row, + // +---------+-------------+---------+---------------------------+----------------------+ + msm_front::Row, + msm_front::Row, + msm_front::Row, + msm_front::Row, + //msm_front::Row, + msm_front::Row, + msm_front::Row + > + { + }; + + public: + StateMachineDefinition(const ros::NodeHandle& nh, const ros::NodeHandle& private_nh, + std::shared_ptr controller); + + template + void on_entry(Event const&, FSM& fsm) + { + fsm.PublishStateInfo("entering StateMachine"); + } + + template + void on_exit(Event const&, FSM& fsm) + { + fsm.PublishStateInfo("leaving StateMachine"); + } + + void SetParameters(const Parameters& parameters); + +private: + static constexpr int64_t kOdometryOutdated_ns = 1000000000; + bool use_rc_teleop_; + std::string reference_frame_id_; + std::shared_ptr controller_; + ros::Publisher command_publisher_; + ros::Publisher forces_command_publisher_; + ros::Publisher state_info_publisher_; + + tf::TransformBroadcaster transform_broadcaster_; + ros::Publisher current_reference_publisher_; + ros::Publisher predicted_state_publisher_; + Parameters parameters_; + mav_msgs::EigenOdometry current_state_; + mav_msgs::EigenTrajectoryPointDeque current_reference_queue_; + + void PublishAttitudeCommand(const mav_msgs::EigenRollPitchYawrateThrust& command) const; + void PublishStateInfo(const std::string& info); + void PublishCurrentReference(); + void PublishPredictedState(); + void PublishForcesCommand(const mav_msgs::EigenActuators& command) const; + + // Implementation of state machine: + + // States + struct Inactive : public msm_front::state<> + { + template + void on_entry(Event const& evt, FSM& fsm) + { + fsm.PublishStateInfo("Inactive"); + } + }; + + struct RemoteControl : public msm_front::state<> + { + template + void on_entry(Event const& evt, FSM& fsm) + { + fsm.PublishStateInfo("RemoteControl"); + } + }; + + struct RemoteControlReadyForOdometry : public msm_front::state<> + { + template + void on_entry(Event const& evt, FSM& fsm) + { + fsm.PublishStateInfo("RemoteControlReadyForOdometry"); + } + }; + + struct HaveOdometry : public msm_front::state<> + { + template + void on_entry(Event const& evt, FSM& fsm) + { + fsm.PublishStateInfo("HaveOdometry"); + } + }; + + struct PositionHold : public msm_front::state<> + { + template + void on_entry(Event const& evt, FSM& fsm) + { + fsm.PublishStateInfo("PositionHold"); + } + }; + + struct RcTeleOp : public msm_front::state<> + { + template + void on_entry(const RcUpdate& evt, FSM& fsm) + { + fsm.PublishStateInfo("RcTeleOp"); + } + }; + + // Actions + struct SetReferenceAttitude + { + template + void operator()(const RcUpdate& evt, FSM& fsm, SourceState&, TargetState&) + { + mav_msgs::EigenRollPitchYawrateThrust command; + command.pitch = evt.rc_data.right_up_down * fsm.parameters_.rc_max_roll_pitch_command_; + command.roll = evt.rc_data.right_side * fsm.parameters_.rc_max_roll_pitch_command_; + command.yaw_rate = -evt.rc_data.left_side * fsm.parameters_.rc_max_yaw_rate_command_; + constexpr double thrust_below_hovering_factor = 0.8; + command.thrust.z() = (evt.rc_data.left_up_down + 1.0) * fsm.controller_->getMass() * 9.81 * thrust_below_hovering_factor; + fsm.PublishAttitudeCommand(command); + } + }; + + struct SetReferencePosition + { + template + void operator()(const ReferenceUpdate& evt, FSM& fsm, SourceState&, TargetState&) + { + if(evt.references.size() == 1){ + fsm.controller_->setReference(evt.references.at(0)); + }else{ + fsm.controller_->setReferenceArray(evt.references); + } + + fsm.current_reference_queue_ = evt.references; + } + }; + + struct SetReferenceToCurrentPosition + { + template + void operator()(EVT const& evt, FSM& fsm, SourceState&, TargetState&) + { + mav_msgs::EigenTrajectoryPoint reference; + reference.position_W = fsm.current_state_.position_W; + reference.setFromYaw(mav_msgs::yawFromQuaternion(fsm.current_state_.orientation_W_B)); + + fsm.controller_->setReference(reference); + fsm.current_reference_queue_.clear(); + fsm.current_reference_queue_.push_back(reference); + } + }; + + struct SetOdometry + { + template + void operator()(const OdometryUpdate& evt, FSM& fsm, SourceState&, TargetState&) + { + fsm.current_state_ = evt.odometry; + fsm.controller_->setOdometry(evt.odometry); + } + }; + + struct ComputeCommand + { + template + void operator()(EVT const& evt, FSM& fsm, SourceState&, TargetState&) + { + //mav_msgs::EigenRollPitchYawrateThrust command; + //fsm.controller_->calculateRollPitchYawrateThrustCommand(&command); + //fsm.PublishAttitudeCommand(command); + + Eigen::VectorXd ang_vel; + ang_vel << 50,50,50,50; + mav_msgs::EigenActuators ForcesCommand(ang_vel); + fsm.controller_->calculateForcesCommand(&ForcesCommand); + ROS_INFO_STREAM("Forces Command angvel: " << ForcesCommand.angular_velocities); + fsm.PublishForcesCommand(ForcesCommand); + fsm.PublishCurrentReference(); + fsm.PublishPredictedState(); + } + }; + + + struct SetReferenceFromRc + { + double YawWrap(double yaw) + { + if (yaw > M_PI) { + return yaw -= 2.0 * M_PI; + } + else if (yaw < -M_PI) { + return yaw += 2.0 * M_PI; + } + return yaw; + } + + template + void ComputeStickToCarrotMapping(const FSM& fsm, const RcData& rc_data, mav_msgs::EigenTrajectoryPoint* carrot) + { + assert(carrot != nullptr); + + const Parameters& p = fsm.parameters_; + + const mav_msgs::EigenOdometry& current_state = fsm.current_state_; + + Eigen::Vector3d stick_position; + stick_position.x() = p.stick_deadzone_(rc_data.right_up_down); + stick_position.y() = p.stick_deadzone_(-rc_data.right_side); + stick_position.z() = p.stick_deadzone_(rc_data.left_up_down); + const double stick_yaw = p.stick_deadzone_(-rc_data.left_side); + + const double stick_position_norm = stick_position.norm(); + if (stick_position_norm > 1.0) { + stick_position = stick_position / stick_position_norm; + } + + const double yaw = mav_msgs::yawFromQuaternion(current_state.orientation_W_B); + Eigen::Vector3d carrot_position = Eigen::AngleAxisd(yaw, Eigen::Vector3d::UnitZ()) * stick_position + * p.rc_teleop_max_carrot_distance_position_; + + carrot->position_W = carrot_position; + //carrot->velocity_W = carrot_position; // TODO(acmarkus): this may need tuning. + + const double carrot_yaw = stick_yaw * p.rc_teleop_max_carrot_distance_yaw_; + carrot->setFromYaw(carrot_yaw); + } + + template + void operator()(const RcUpdate& evt, FSM& fsm, HaveOdometry& src_state, RcTeleOp&) + { + const Parameters& p = fsm.parameters_; + const RcData& rc_data = evt.rc_data; + const mav_msgs::EigenOdometry& current_state = fsm.current_state_; + + mav_msgs::EigenTrajectoryPoint new_reference; + + ComputeStickToCarrotMapping(fsm, rc_data, &new_reference); + new_reference.position_W += current_state.position_W; + new_reference.setFromYaw(YawWrap(new_reference.getYaw() + current_state.getYaw())); + + fsm.current_reference_queue_.clear(); + fsm.current_reference_queue_.push_back(new_reference); + fsm.controller_->setReference(new_reference); + } + + template + void operator()(const RcUpdate& evt, FSM& fsm, RcTeleOp& src_state, RcTeleOp&) + { + if (fsm.current_reference_queue_.empty()){ + ROS_WARN("[RcTeleOp]: current reference queue is empty, not sending commands."); + return; + } + + const Parameters& p = fsm.parameters_; + const RcData& rc_data = evt.rc_data; + + const mav_msgs::EigenOdometry& current_state = fsm.current_state_; + mav_msgs::EigenTrajectoryPoint new_reference, carrot; + mav_msgs::EigenTrajectoryPoint current_reference = fsm.current_reference_queue_.front(); + + ComputeStickToCarrotMapping(fsm, rc_data, &carrot); + + // We only set the new reference for the respective axis, if the stick is outside the deadzone. + new_reference.position_W = current_reference.position_W; + new_reference.orientation_W_B = current_reference.orientation_W_B; + constexpr double eps = 1.0e-6; + if (std::abs(carrot.position_W.x()) > eps) { + new_reference.position_W.x() = current_state.position_W.x() + carrot.position_W.x(); + new_reference.velocity_W.x() = carrot.velocity_W.x(); + } + if (std::abs(carrot.position_W.y()) > eps) { + new_reference.position_W.y() = current_state.position_W.y() + carrot.position_W.y(); + new_reference.velocity_W.y() = carrot.velocity_W.y(); + } + if (std::abs(carrot.position_W.z()) > eps) { + new_reference.position_W.z() = current_state.position_W.z() + carrot.position_W.z(); + new_reference.velocity_W.z() = carrot.velocity_W.z(); + } + + new_reference.setFromYaw(YawWrap(carrot.getYaw() + current_state.getYaw())); + + fsm.current_reference_queue_.clear(); + fsm.current_reference_queue_.push_back(new_reference); + fsm.controller_->setReference(new_reference); + } + }; + + struct SetTakeoffCommands + { + template + void operator()(const Takeoff& evt, FSM& fsm, SourceState& src_state, PositionHold&) + { + constexpr double dt = 0.01; // TODDO(acmarkus): FIX!!!!!! + constexpr double seconds_to_ns = 1.0e9; + const int64_t dt_ns = static_cast(dt * seconds_to_ns); + + const Parameters& p = fsm.parameters_; + mav_msgs::EigenOdometry& current_state = fsm.current_state_; + mav_msgs::EigenTrajectoryPointDeque& current_reference_queue = fsm.current_reference_queue_; + current_reference_queue.clear(); + +// mav_msgs::EigenTrajectoryPoint trajectory_point; +// trajectory_point.time_from_start_ns = 0; +// trajectory_point.position_W = current_state.position_W; +// +// constexpr double negative_distance_z = 0.5; +// trajectory_point.position_W.z() -= negative_distance_z; +// trajectory_point.setFromYaw(mav_msgs::yawFromQuaternion(current_state.orientation_W_B)); +// current_reference_queue.push_back(trajectory_point); +// +// const int64_t takeoff_time_below_ground_ns = static_cast(p.takeoff_time_ * 0.5 * seconds_to_ns); +// double increment_z = negative_distance_z / (p.takeoff_time_ * 0.5 / dt); +// for (int64_t t_ns = 0; t_ns < takeoff_time_below_ground_ns; t_ns += dt_ns) { +// trajectory_point.position_W.z() += increment_z; +// trajectory_point.time_from_start_ns = t_ns; +// current_reference_queue.push_back(trajectory_point); +// } +// +// const int64_t takeoff_time_ns = static_cast(p.takeoff_time_ * seconds_to_ns); +// increment_z = p.takeoff_distance_ / (p.takeoff_time_ / dt); +// for (int64_t t_ns = trajectory_point.time_from_start_ns; +// t_ns < takeoff_time_below_ground_ns + takeoff_time_ns; t_ns += dt_ns) { +// trajectory_point.position_W.z() += increment_z; +// trajectory_point.time_from_start_ns = t_ns; +// current_reference_queue.push_back(trajectory_point); +// } + + + mav_msgs::EigenTrajectoryPoint trajectory_point; + trajectory_point.time_from_start_ns = 0; + trajectory_point.position_W = current_state.position_W; + trajectory_point.position_W.z() += p.takeoff_distance_; + trajectory_point.setFromYaw(mav_msgs::yawFromQuaternion(current_state.orientation_W_B)); + current_reference_queue.push_back(trajectory_point); + + ROS_INFO_STREAM("final take off position: " << trajectory_point.position_W.transpose()); + //fsm.controller_->setReferenceArray(current_reference_queue); + fsm.controller_->setReference(trajectory_point); + } + }; + + struct PrintOdometryWatchdogWarning + { + template + void operator()(const Evt& evt, FSM& fsm, SourceState&, TargetState&) + { + if (!fsm.use_rc_teleop_) { + ROS_WARN_STREAM("No odometry message received in the last "<< kOdometryOutdated_ns/1000000000.0 << " seconds!"); + } else { + ROS_WARN_STREAM( + "No odometry message received in the last "<< kOdometryOutdated_ns/1000000000.0 << " seconds!" + " -- going back to manual remote control"); + } + } + }; + + // Guards + struct UseRCTeleop + { + template + bool operator()(const Evt& evt, FSM& fsm, SourceState&, TargetState&) + { + return fsm.use_rc_teleop_; + } + }; + + struct RcModeManual + { + template + bool operator()(const RcUpdate& evt, FSM& fsm, SourceState&, TargetState&) + { + const bool rc_mode_manual = evt.rc_data.control_mode == RcData::ControlMode::MANUAL; + return rc_mode_manual; + } + }; + + struct RcModePosition + { + template + bool operator()(const RcUpdate& evt, FSM& fsm, SourceState&, TargetState&) + { + const bool rc_mode_position = evt.rc_data.control_mode == RcData::ControlMode::POSITION_CONTROL; + return rc_mode_position; + } + }; + + struct RcActive + { + template + bool operator()(const RcUpdate& evt, FSM& fsm, SourceState&, TargetState&) + { + return evt.is_active; + } + }; + + struct RcOn + { + template + bool operator()(const RcUpdate& evt, FSM& fsm, SourceState&, TargetState&) + { + return evt.is_on; + } + }; + + struct OdometryOutdated + { + template + bool operator()(const OdometryWatchdog& evt, FSM& fsm, SourceState&, TargetState&) + { + return std::abs(static_cast(ros::Time::now().toNSec()) - fsm.current_state_.timestamp_ns) > kOdometryOutdated_ns; + } + }; + +}; // end class StateMachine_ + +} // end namespace state_machine + +} // namespace mav_control_interface + +#endif /* STATE_MACHINE_H_ */ diff --git a/mav_modified_rodrigues_nmpc/CMakeLists.txt b/mav_modified_rodrigues_nmpc/CMakeLists.txt new file mode 100644 index 0000000..362fc36 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/CMakeLists.txt @@ -0,0 +1,80 @@ +cmake_minimum_required(VERSION 2.8.3) +project(mav_modified_rodrigues_nmpc) + +set(CMAKE_BUILD_TYPE Release) + +set(CMAKE_MODULE_PATH ${CMAKE_MODULE_PATH} "${PROJECT_SOURCE_DIR}/cmake/") + +# On os x we need to use openblas for the lapacke library +find_package(OpenBLAS REQUIRED) +if (Openblas_FOUND) + message("-- Found Openblas library: ${Openblas_LIBRARIES}") + message("-- Found Openblas include dirs: ${Openblas_INCLUDE_DIRS}") + include_directories(${Openblas_INCLUDE_DIRS}) + set(lapacke_LIBRARIES ${Openblas_LIBRARIES}) +else (Openblas_FOUND) + message("-- Openblas not found, trying to use lapacke") + find_package(LAPACK REQUIRED) + set(lapacke_LIBRARIES lapacke) +endif (Openblas_FOUND) + + +find_package(catkin_simple REQUIRED) +catkin_simple(ALL_DEPS_REQUIRED) + +if(APPLE) + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11 -stdlib=libc++") +else() + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11") +endif() + +find_package(Eigen REQUIRED) +include_directories(${Eigen_INCLUDE_DIRS}) + +############# +# LIBRARIES # +############# +cs_add_library(mav_modified_rodrigues_nmpc_lib + src/modified_rodrigues_nmpc.cc + solver/qpoases/SRC/Bounds.cpp + solver/qpoases/SRC/Constraints.cpp + solver/qpoases/SRC/CyclingManager.cpp + solver/qpoases/SRC/Indexlist.cpp + solver/qpoases/SRC/MessageHandling.cpp + solver/qpoases/SRC/QProblem.cpp + solver/qpoases/SRC/QProblemB.cpp + solver/qpoases/SRC/SubjectTo.cpp + solver/qpoases/SRC/Utils.cpp + solver/qpoases/SRC/EXTRAS/SolutionAnalysis.cpp + solver/acado_qpoases_interface.cpp + solver/acado_integrator.c + solver/acado_solver.c + solver/acado_auxiliary_functions.c + ) + +target_include_directories(mav_modified_rodrigues_nmpc_lib PUBLIC + solver/ + solver/qpoases + solver/qpoases/INCLUDE + solver/qpoases/SRC + ) + +############ +# BINARIES # +############ +cs_add_executable(modified_rodrigues_nmpc_node + src/modified_rodrigues_nmpc_node.cc +) + +target_link_libraries(mav_modified_rodrigues_nmpc_lib ${lapacke_LIBRARIES}) + +target_link_libraries(modified_rodrigues_nmpc_node mav_modified_rodrigues_nmpc_lib) + +add_dependencies(modified_rodrigues_nmpc_node ${${PROJECT_NAME}_EXPORTED_TARGETS}) + + +########## +# EXPORT # +########## +cs_install() +cs_export() diff --git a/mav_modified_rodrigues_nmpc/CMakeLists.txt~ b/mav_modified_rodrigues_nmpc/CMakeLists.txt~ new file mode 100644 index 0000000..db54b4c --- /dev/null +++ b/mav_modified_rodrigues_nmpc/CMakeLists.txt~ @@ -0,0 +1,80 @@ +cmake_minimum_required(VERSION 2.8.3) +project(mav_variable_pitch_nmpc) + +set(CMAKE_BUILD_TYPE Release) + +set(CMAKE_MODULE_PATH ${CMAKE_MODULE_PATH} "${PROJECT_SOURCE_DIR}/cmake/") + +# On os x we need to use openblas for the lapacke library +find_package(OpenBLAS REQUIRED) +if (Openblas_FOUND) + message("-- Found Openblas library: ${Openblas_LIBRARIES}") + message("-- Found Openblas include dirs: ${Openblas_INCLUDE_DIRS}") + include_directories(${Openblas_INCLUDE_DIRS}) + set(lapacke_LIBRARIES ${Openblas_LIBRARIES}) +else (Openblas_FOUND) + message("-- Openblas not found, trying to use lapacke") + find_package(LAPACK REQUIRED) + set(lapacke_LIBRARIES lapacke) +endif (Openblas_FOUND) + + +find_package(catkin_simple REQUIRED) +catkin_simple(ALL_DEPS_REQUIRED) + +if(APPLE) + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11 -stdlib=libc++") +else() + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -std=c++11") +endif() + +find_package(Eigen REQUIRED) +include_directories(${Eigen_INCLUDE_DIRS}) + +############# +# LIBRARIES # +############# +cs_add_library(mav_variable_pitch_nmpc_lib + src/variable_pitch_nmpc.cc + solver/qpoases/SRC/Bounds.cpp + solver/qpoases/SRC/Constraints.cpp + solver/qpoases/SRC/CyclingManager.cpp + solver/qpoases/SRC/Indexlist.cpp + solver/qpoases/SRC/MessageHandling.cpp + solver/qpoases/SRC/QProblem.cpp + solver/qpoases/SRC/QProblemB.cpp + solver/qpoases/SRC/SubjectTo.cpp + solver/qpoases/SRC/Utils.cpp + solver/qpoases/SRC/EXTRAS/SolutionAnalysis.cpp + solver/acado_qpoases_interface.cpp + solver/acado_integrator.c + solver/acado_solver.c + solver/acado_auxiliary_functions.c + ) + +target_include_directories(mav_variable_pitch_nmpc_lib PUBLIC + solver/ + solver/qpoases + solver/qpoases/INCLUDE + solver/qpoases/SRC + ) + +############ +# BINARIES # +############ +cs_add_executable(variable_pitch_nmpc_node + src/variable_pitch_nmpc_node.cc +) + +target_link_libraries(mav_variable_pitch_nmpc_lib ${lapacke_LIBRARIES}) + +target_link_libraries(variable_pitch_nmpc_node mav_variable_pitch_nmpc_lib) + +add_dependencies(variable_pitch_nmpc_node ${${PROJECT_NAME}_EXPORTED_TARGETS}) + + +########## +# EXPORT # +########## +cs_install() +cs_export() diff --git a/mav_modified_rodrigues_nmpc/cfg/NonLinearMPC.cfg b/mav_modified_rodrigues_nmpc/cfg/NonLinearMPC.cfg new file mode 100755 index 0000000..0dc74eb --- /dev/null +++ b/mav_modified_rodrigues_nmpc/cfg/NonLinearMPC.cfg @@ -0,0 +1,45 @@ +#!/usr/bin/env python +PACKAGE = "mav_modified_rodrigues_nmpc" + +from dynamic_reconfigure.parameter_generator_catkin import * + +gen = ParameterGenerator() + +#Should we add terminal penalties on position and velocity? +gen.add("q_x", double_t, 0, "Penality on x axis pos err", 150.0 , 0.001, 600.0) +gen.add("q_y", double_t, 0, "Penality on y axis pos err", 150.0 , 0.001, 600.0) +gen.add("q_z", double_t, 0, "Penality on z axis pos err", 150.0 , 0.001, 600.0) + +gen.add("q_vx", double_t, 0, "Penality on x axis vel err", 70.0 , 0.001, 200.0) +gen.add("q_vy", double_t, 0, "Penality on y axis vel err", 70.0 , 0.001, 200.0) +gen.add("q_vz", double_t, 0, "Penality on z axis vel err", 70.0 , 0.001, 200.0) + +gen.add("q_mrp1", double_t, 0, "Penality on mrp1 err", 150.0 , 0.001, 200.0) +gen.add("q_mrp2", double_t, 0, "Penality on mrp2 err", 150.0 , 0.001, 200.0) +gen.add("q_mrp3", double_t, 0, "Penality on mrp3 err", 150.0 , 0.001, 200.0) + +gen.add("q_wx", double_t, 0, "Penality on x axis ang vel err", 100.0 , 1.0, 500.0) +gen.add("q_wy", double_t, 0, "Penality on y axis ang vel err", 100.0 , 1.0, 500.0) +gen.add("q_wz", double_t, 0, "Penality on z axis ang vel err", 100.0 , 1.0, 500.0) + +gen.add("r_f1", double_t, 0, "Penality on u1", 10.0, 0.1, 50.0) +gen.add("r_f2", double_t, 0, "Penality on u2", 10.0, 0.1, 50.0) +gen.add("r_f3", double_t, 0, "Penality on u3", 10.0, 0.1, 50.0) +gen.add("r_f4", double_t, 0, "Penality on u4", 10.0, 0.1, 50.0) +gen.add("r_f5", double_t, 0, "Penality on u5", 10.0, 0.1, 50.0) +gen.add("r_f6", double_t, 0, "Penality on u6", 10.0, 0.1, 50.0) + +gen.add("force_min", double_t, 0, "min force cmd [N]", -8.0 , -14.0, 1.0) +gen.add("force_max", double_t, 0, "max force cmd [N]", 8.0 , 1.0, 14.0) #control input constraints -6 to 6 for hummingbird + +gen.add("angVel_ref", double_t, 0, "angular velocity reference [rad/sec]", 0.0 , 0.0, 20.0) + + +gen.add("Ki_xy", double_t, 0, "integrator gain for xy", 0.2 , 0.01, 3.0) +gen.add("Ki_altitude", double_t, 0, "integrator gain for altitude", 0.2 , 0.01, 3.0) +#gen.add("quat_norm_gain", double_t, 0, "gain for maintaining unit quat norm", 1 , 0.0, 5) + +gen.add("enable_shadow_mrp", bool_t, 0, "Switch to shadow MRP at 180 degrees rotation", True) #was true +gen.add("enable_offset_free", bool_t, 0, "XY offset free MPC", False) #was true +gen.add("enable_integrator", bool_t, 0, "integral action", False) +exit(gen.generate(PACKAGE, "Config", "NonLinearMPC")) diff --git a/mav_modified_rodrigues_nmpc/cfg/NonLinearMPC.cfg~ b/mav_modified_rodrigues_nmpc/cfg/NonLinearMPC.cfg~ new file mode 100755 index 0000000..693605b --- /dev/null +++ b/mav_modified_rodrigues_nmpc/cfg/NonLinearMPC.cfg~ @@ -0,0 +1,39 @@ +#!/usr/bin/env python +PACKAGE = "mav_modified_rodrigues_nmpc" + +from dynamic_reconfigure.parameter_generator_catkin import * + +gen = ParameterGenerator() + +#Should we add terminal penalties on position and velocity? +gen.add("q_x", double_t, 0, "Penality on x axis pos err", 170.0 , 0.001, 600.0) +gen.add("q_y", double_t, 0, "Penality on y axis pos err", 170.0 , 0.001, 600.0) +gen.add("q_z", double_t, 0, "Penality on z axis pos err", 170.0 , 0.001, 600.0) + +gen.add("q_vx", double_t, 0, "Penality on x axis vel err", 30.0 , 0.001, 200.0) +gen.add("q_vy", double_t, 0, "Penality on y axis vel err", 30.0 , 0.001, 200.0) +gen.add("q_vz", double_t, 0, "Penality on z axis vel err", 30.0 , 0.001, 200.0) + +gen.add("q_mrp1", double_t, 0, "Penality on mrp1 err", 5.0 , 0.001, 200.0) +gen.add("q_mrp2", double_t, 0, "Penality on mrp2 err", 5.0 , 0.001, 200.0) +gen.add("q_mrp3", double_t, 0, "Penality on mrp3 err", 5.0 , 0.001, 200.0) + +gen.add("q_wx", double_t, 0, "Penality on x axis ang vel err", 1.0 , 1.0, 200.0) +gen.add("q_wy", double_t, 0, "Penality on y axis ang vel err", 1.0 , 1.0, 200.0) +gen.add("q_wz", double_t, 0, "Penality on z axis ang vel err", 1.0 , 1.0, 200.0) + +gen.add("r_f1", double_t, 0, "Penality on u1", 0.1, 0.1, 50.0) +gen.add("r_f2", double_t, 0, "Penality on u2", 0.1, 0.1, 50.0) +gen.add("r_f3", double_t, 0, "Penality on u3", 0.1, 0.1, 50.0) +gen.add("r_f4", double_t, 0, "Penality on u4", 0.1, 0.1, 50.0) + +gen.add("force_min", double_t, 0, "min force cmd [N]", 0.0 , -5.0, 0.0) +gen.add("force_max", double_t, 0, "max force cmd [N]", 3.0 , 1.0, 5.0) #control input constraints + +gen.add("Ki_xy", double_t, 0, "integrator gain for xy", 0.2 , 0.01, 3.0) +gen.add("Ki_altitude", double_t, 0, "integrator gain for altitude", 0.2 , 0.01, 3.0) +#gen.add("quat_norm_gain", double_t, 0, "gain for maintaining unit quat norm", 1 , 0.0, 5) + +gen.add("enable_offset_free", bool_t, 0, "XY offset free MPC", False) #was true +gen.add("enable_integrator", bool_t, 0, "integral action", False) +exit(gen.generate(PACKAGE, "Config", "NonLinearMPC")) diff --git a/mav_modified_rodrigues_nmpc/cmake/FindOpenBLAS.cmake b/mav_modified_rodrigues_nmpc/cmake/FindOpenBLAS.cmake new file mode 100644 index 0000000..c5bc3f4 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/cmake/FindOpenBLAS.cmake @@ -0,0 +1,42 @@ + +# - Finds Openblas and all dependencies +# Once done this will define +# Openblas_FOUND - System has Openblas +# Openblas_INCLUDE_DIRS - The Openblas include directories +# Openblas_LIBRARIES - The libraries needed to use Openblas + +find_library(Openblas_LIBRARY + NAMES libopenblas.so libopenblas.lib libopenblas.dylib + PATHS ${Openblas_ROOT}/lib + /usr/lib/openblas-base + /usr/local/lib +) + +# brew installed openblas library on os x is hard to find and depends on the installed version. +if(Openblas_LIBRARY STREQUAL "Openblas_LIBRARY-NOTFOUND") + file(GLOB Openblas_LIBRARY /usr/local/Cellar/openblas/*/lib/libopenblas.dylib) +endif() + +if(NOT OPENBLAS_IGNORE_HEADERS) + find_path(Openblas_INCLUDE_DIR + NAMES openblas_config.h + PATHS ${Openblas_ROOT}/include + /usr/include + /usr/local/include + /usr/local/Cellar + /usr/local/opt/openblas/include +) +endif() + +if((Openblas_LIBRARY STREQUAL "Openblas_LIBRARY-NOTFOUND") OR (Openblas_INCLUDE_DIR STREQUAL "Openblas_INCLUDE_DIR-NOTFOUND")) + set(Openblas_ROOT "" CACHE PATH "Path to the root of a Openblas installation") + set(Openblas_FOUND 0) + message(WARNING "Openblas not found. Please try specifying Openblas_ROOT") +else() + set(Openblas_FOUND 1) + set(Openblas_INCLUDE_DIRS ${Openblas_INCLUDE_DIR}) + set(Openblas_LIBRARIES ${Openblas_LIBRARY}) + if(CMAKE_COMPILER_IS_GNUCC) + set(Openblas_LIBRARIES ${Openblas_LIBRARIES} gfortran pthread) + endif() +endif() diff --git a/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc.h b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc.h new file mode 100644 index 0000000..23e313d --- /dev/null +++ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc.h @@ -0,0 +1,251 @@ +/* + Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + + You can contact the author at + + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are met: + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + * Neither the name of ETHZ-ASL nor the + names of its contributors may be used to endorse or promote products + derived from this software without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND + ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED + WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY + DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES + (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND + ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +#ifndef INCLUDE_MAV_MODIFIED_RODRIGUES_NMPC_MODIFIED_RODRIGUES_NMPC_H_ +#define INCLUDE_MAV_MODIFIED_RODRIGUES_NMPC_MODIFIED_RODRIGUES_NMPC_H_ + + +#include +#include +#include +#include +#include +#include +#include "acado_common.h" +#include "acado_auxiliary_functions.h" +#include +#include +#include +#include +#include +#include + +ACADOvariables acadoVariables; +ACADOworkspace acadoWorkspace; + +namespace mav_control { + +lapack_logical select_lhp(const double *real, const double *imag) +{ + return *real < 0.0; +} + +class NonlinearModelPredictiveControl +{ + public: + NonlinearModelPredictiveControl(const ros::NodeHandle& nh, const ros::NodeHandle& private_nh); + ~NonlinearModelPredictiveControl(); + + + // Dynamic parameters + void setPositionPenality(const Eigen::Vector3d& q_position) + { + q_position_ = q_position; + } + void setVelocityPenality(const Eigen::Vector3d& q_velocity) + { + q_velocity_ = q_velocity; + } + void setAttitudePenality(const Eigen::Vector3d& q_attitude) + { + q_attitude_ = q_attitude; + } + void setAngVelPenality(const Eigen::Vector3d& q_angVel) + { + q_angVel_ = q_angVel; + } + + void setAngVelRef(double angVel_ref) + { + angVel_ref_ = angVel_ref; + } + + void setCommandPenality(const Eigen::VectorXd& r_command) + { + r_command_ = r_command; + } + + void setAltitudeIntratorGain(double Ki_altitude) + { + Ki_altitude_ = Ki_altitude; + } + + void setXYIntratorGain(double Ki_xy) + { + Ki_xy_ = Ki_xy; + } + + void setEnableOffsetFree(bool enable_offset_free) + { + enable_offset_free_ = enable_offset_free; + } + + void setEnableShadowMRP(bool enable_shadow_mrp) + { + enable_shadow_mrp_ = enable_shadow_mrp; + } + + void setEnableIntegrator(bool enable_integrator) + { + enable_integrator_ = enable_integrator; + } + + void setControlLimits(const Eigen::VectorXd& control_limits) // constraints on f1,f2,f3,f4... + { + force_min_ = control_limits(0); + force_max_ = control_limits(1); + } + + void applyParameters(); + + double getMass() const + { + return mass_; + } + + // get reference and predicted state + bool getCurrentReference(mav_msgs::EigenTrajectoryPoint* reference) const; + bool getCurrentReference(mav_msgs::EigenTrajectoryPointDeque* reference) const; + bool getPredictedState(mav_msgs::EigenTrajectoryPointDeque* predicted_state) const; + + // set odometry and commands + void setOdometry(const mav_msgs::EigenOdometry& odometry); + void setCommandTrajectoryPoint(const mav_msgs::EigenTrajectoryPoint& command_trajectory); + void setCommandTrajectory(const mav_msgs::EigenTrajectoryPointDeque& command_trajectory); + + // compute control input + void calculateForcesCommand(Eigen::VectorXd* ref_normforces, Eigen::VectorXd* ref_forces); + double normalizeForce(double force); + + + EIGEN_MAKE_ALIGNED_OPERATOR_NEW + private: + + + // constants + static constexpr double kGravity = 9.8066; + static constexpr int kDisturbanceSize = 3; + + // ros node handles + ros::NodeHandle nh_, private_nh_; + + // reset integrator service + ros::ServiceServer reset_integrator_service_server_; + bool resetIntegratorServiceCallback(std_srvs::Empty::Request &req, + std_srvs::Empty::Response &res); + + // sampling time parameters + void initializeParameters(); + bool initialized_parameters_; + + void removeCSVfiles(); + + // sampling time parameters + double sampling_time_; + double prediction_sampling_time_; + + // system model parameters + double mass_; + Eigen::Vector3d inertia_; + double drag_coefficient_; + double armlength_; + + // controller parameters + // state penalty + Eigen::Vector3d q_position_; + Eigen::Vector3d q_velocity_; + Eigen::Vector3d q_attitude_; + Eigen::Vector3d q_angVel_; + + // control penalty + Eigen::VectorXd r_command_; + + // error integrator + bool enable_integrator_; + double Ki_altitude_; + double Ki_xy_; + double antiwindup_ball_; + Eigen::Vector3d position_error_integration_; + double position_error_integration_limit_; + // double logistic_gain_; + bool enable_shadow_mrp_; + + + double force_min_; + double force_max_; + + // reference queue + MPCQueue mpc_queue_; + Vector3dDeque position_ref_, velocity_ref_, acceleration_ref_; + std::deque yaw_ref_, yaw_rate_ref_; + double angVel_ref_; + Eigen::Vector3d angVel_ref_vector_; + + + // solver matrices + Eigen::Matrix W_; + Eigen::Matrix WN_; + Eigen::Matrix state_; + Eigen::Matrix input_; + Eigen::Matrix reference_; + Eigen::Matrix referenceN_; + Eigen::Matrix acado_online_data_; + + // disturbance observer + bool enable_offset_free_; + + // commands + Eigen::VectorXd command_f1_f2_f3_f4_; + + + // debug info + bool verbose_; + double solve_time_average_; + ros::WallTime loop_start_time_; + bool record_to_csv_; + + // most recent odometry information + mav_msgs::EigenOdometry odometry_; + Eigen::Vector3d position_error_ ; + Eigen::Vector3d velocity_error_ ; + Eigen::Quaterniond attitude_error_; + Eigen::Vector3d mrp_error_; + double mrp_error_magnitude_; + Eigen::Vector3d angVel_error_; + bool received_first_odometry_; + + // initilize solver + void initializeAcadoSolver(Eigen::VectorXd x0); + +}; + +} + +#endif /* INCLUDE_MAV_MODIFIED_RODRIGUES_NMPC_MODIFIED_RODRIGUES_NMPC_H_ */ diff --git a/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc.h~ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc.h~ new file mode 100644 index 0000000..911fb8a --- /dev/null +++ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc.h~ @@ -0,0 +1,258 @@ +/* + Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + + You can contact the author at + + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are met: + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + * Neither the name of ETHZ-ASL nor the + names of its contributors may be used to endorse or promote products + derived from this software without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND + ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED + WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY + DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES + (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND + ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +#ifndef INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_H_ +#define INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_H_ + + +#include +#include +#include +#include +#include +#include +#include "acado_common.h" +#include "acado_auxiliary_functions.h" +#include +#include +#include +#include +#include +#include + +ACADOvariables acadoVariables; +ACADOworkspace acadoWorkspace; + +namespace mav_control { + +lapack_logical select_lhp(const double *real, const double *imag) +{ + return *real < 0.0; +} //what is this? + +class NonlinearModelPredictiveControl +{ + public: + NonlinearModelPredictiveControl(const ros::NodeHandle& nh, const ros::NodeHandle& private_nh); + ~NonlinearModelPredictiveControl(); + + + // Dynamic parameters + void setPositionPenality(const Eigen::Vector3d& q_position) + { + q_position_ = q_position; + } + void setVelocityPenality(const Eigen::Vector3d& q_velocity) + { + q_velocity_ = q_velocity; + } + void setAttitudePenality(const Eigen::Vector3d& q_attitude) + { + q_attitude_ = q_attitude; + } + void setAngVelPenality(const Eigen::Vector3d& q_angVel) + { + q_angVel_ = q_angVel; + } + void setCommandPenality(const Eigen::Vector4d& r_command) // penalty on f1,f2,f3,f4 + { + r_command_ = r_command; + } + + + void setAltitudeIntratorGain(double Ki_altitude) + { + Ki_altitude_ = Ki_altitude; + } + + void setXYIntratorGain(double Ki_xy) + { + Ki_xy_ = Ki_xy; + } + + //void setQuatNormGain(double quat_norm_gain) + //{ + //quat_norm_gain_ = quat_norm_gain; + //} + + void setEnableOffsetFree(bool enable_offset_free) + { + enable_offset_free_ = enable_offset_free; + } + + void setEnableIntegrator(bool enable_integrator) + { + enable_integrator_ = enable_integrator; + } + + void setControlLimits(const Eigen::VectorXd& control_limits) + { + force_min_ = control_limits(0); // constraint on f1,f2,f3,f4 + force_max_ = control_limits(1); + } + + void applyParameters(); + + double getMass() const //Do we need this? mass is online data + { + return mass_; + } + + // get reference and predicted state + bool getCurrentReference(mav_msgs::EigenTrajectoryPoint* reference) const; + bool getCurrentReference(mav_msgs::EigenTrajectoryPointDeque* reference) const; + bool getPredictedState(mav_msgs::EigenTrajectoryPointDeque* predicted_state) const; + + // set odom and commands + void setOdometry(const mav_msgs::EigenOdometry& odometry); + void setCommandTrajectoryPoint(const mav_msgs::EigenTrajectoryPoint& command_trajectory); //what is this for?? setting reference? + void setCommandTrajectory(const mav_msgs::EigenTrajectoryPointDeque& command_trajectory); + + // compute control input + // void calculateRollPitchYawrateThrustCommand(Eigen::Vector4d* ref_attitude_thrust); + void calculateForcesCommand(Eigen::Vector4d* ref_normforces, Eigen::Vector4d* ref_forces); //normalized forces +// void calculateTorqueThrustCommand(Eigen::Vector3d* ref_torque, Eigen::Vector3d* ref_thrust); + // Eigen::Quaterniond quatMult(Eigen::Quaterniond q1, Eigen::Quaterniond q2); + double normalizeForce(double force); + + + EIGEN_MAKE_ALIGNED_OPERATOR_NEW + private: + + + // constants + static constexpr double kGravity = 9.8066; + static constexpr int kDisturbanceSize = 3; // what is this for?? Do we need it? + + // ros node handles + ros::NodeHandle nh_, private_nh_; + + // reset integrator service + ros::ServiceServer reset_integrator_service_server_; + bool resetIntegratorServiceCallback(std_srvs::Empty::Request &req, + std_srvs::Empty::Response &res); + + // sampling time parameters + void initializeParameters(); + bool initialized_parameters_; + + // sampling time parameters + double sampling_time_; + double prediction_sampling_time_; + + // system model parameters + double mass_; + Eigen::Vector3d inertia_; // added by me, should we add length of arm and yaw_ref used as quat_desired in the model? + double drag_coefficient_; // added by me, should we add inverse of inertia as well? + double armlength_; +// double yaw_ref_; // added by me bcz online data +// double roll_time_constant_; +// double roll_gain_; +// double pitch_time_constant_; +// double pitch_gain_; +//Eigen::Vector3d drag_coefficients_; + + + // controller parameters + // state penalty + Eigen::Vector3d q_position_; + Eigen::Vector3d q_velocity_; + Eigen::Vector3d q_attitude_; + Eigen::Vector3d q_angVel_; + + // control penalty + Eigen::Vector4d r_command_; + + // yaw P gain +// double K_yaw_; + + // error integrator + bool enable_integrator_; + double Ki_altitude_; + double Ki_xy_; + double antiwindup_ball_; + Eigen::Vector3d position_error_integration_; + double position_error_integration_limit_; + // double quat_norm_gain_; + + + double force_min_; + double force_max_; + + // reference queue + MPCQueue mpc_queue_; + Vector3dDeque position_ref_, velocity_ref_, acceleration_ref_; + std::deque yaw_ref_, yaw_rate_ref_; // can be used to find desired quat/attitude [cos(yaw_ref/2) 0 0 sin(yaw_ref/2)] or for MPC [1 0 0 0] + + + // solver matrices + Eigen::Matrix W_; + Eigen::Matrix WN_; + Eigen::Matrix state_; + Eigen::Matrix input_; + Eigen::Matrix reference_; + Eigen::Matrix referenceN_; + Eigen::Matrix acado_online_data_; + + // disturbance observer + bool enable_offset_free_; + // KFDisturbanceObserver disturbance_observer_; + + // commands + Eigen::Vector4d command_f1_f2_f3_f4_; + + + + // debug info + bool verbose_; + double solve_time_average_; + + // most recent odometry information + mav_msgs::EigenOdometry odometry_; + Eigen::Vector3d position_error_ ; //added by me + Eigen::Vector3d velocity_error_ ;//added by me + Eigen::Quaterniond attitude_error_; //added by me + Eigen::Vector3d mrp_error_; + Eigen::Vector3d angVel_error_; //added by me + bool received_first_odometry_; + + // initilize solver + void initializeAcadoSolver(Eigen::VectorXd x0); + + + // solve continuous time Riccati equation +// Eigen::MatrixXd solveCARE(Eigen::MatrixXd Q, Eigen::MatrixXd R); //Do we need this? + + +}; + +} + +#endif /* INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_H_ */ diff --git a/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc_node.h b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc_node.h new file mode 100644 index 0000000..2c5597a --- /dev/null +++ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc_node.h @@ -0,0 +1,118 @@ +/* + Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + + You can contact the author at + + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are met: + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + * Neither the name of ETHZ-ASL nor the + names of its contributors may be used to endorse or promote products + derived from this software without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND + ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED + WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY + DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES + (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND + ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ +#ifndef INCLUDE_MAV_MODIFIED_RODRIGUES_NMPC_MODIFIED_RODRIGUES_NMPC_NODE_H_ +#define INCLUDE_MAV_MODIFIED_RODRIGUES_NMPC_MODIFIED_RODRIGUES_NMPC_NODE_H_ + +#include +#include +#include + +//ros +#include +#include + +//ros msgs +#include +#include +#include +#include +#include +#include +#include + +//dynamic reconfiguration +#include +#include + +#include +#include "../mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc.h" + +namespace mav_control { + +class NonLinearModelPredictiveControllerNode : public mav_control_interface::PositionControllerInterface +{ + public: + NonLinearModelPredictiveControllerNode(const ros::NodeHandle& nh, const ros::NodeHandle& private_nh); + ~NonLinearModelPredictiveControllerNode(); + + void InitializeParams(); + + EIGEN_MAKE_ALIGNED_OPERATOR_NEW + private: + + ros::NodeHandle nh_; + ros::NodeHandle private_nh_; + + NonlinearModelPredictiveControl nonlinear_mpc_; + + dynamic_reconfigure::Server controller_dyn_config_server_; + + void ControllerDynConfigCallback(mav_modified_rodrigues_nmpc::NonLinearMPCConfig &config, uint32_t level); + + virtual std::string getName() const + { + return std::string("nonlinear_model_predictive_controller"); + } + + virtual bool getUseAttitudeQuaternionCommand() const + { + return false; // what is this? + } + + virtual double getMass() const { + return nonlinear_mpc_.getMass(); + } + + virtual bool setReference(const mav_msgs::EigenTrajectoryPoint& reference); + + virtual bool setReferenceArray(const mav_msgs::EigenTrajectoryPointDeque& reference_array); + + virtual bool setOdometry(const mav_msgs::EigenOdometry& odometry); + + virtual bool calculateForcesCommand(mav_msgs::Actuators* forces_command); + + // virtual bool calculateTorqueThrustCommand(mav_msgs::EigenTorqueThrust* torquethrust_command); + + virtual bool calculateAttitudeThrustCommand(mav_msgs::EigenAttitudeThrust* attitude_thrust_command); + + virtual bool getCurrentReference(mav_msgs::EigenTrajectoryPoint* reference) const; + + virtual bool getCurrentReference(mav_msgs::EigenTrajectoryPointDeque* reference) const; + + virtual bool getPredictedState(mav_msgs::EigenTrajectoryPointDeque* predicted_state) const; + + void uavStatusCallback(const mav_msgs::StatusConstPtr& msg); + +}; + +} + + +#endif /* INCLUDE_MAV_MODIFIED_RODRIGUES_NMPC_MODIFIED_RODRIGUES_NMPC_NODE_H_ */ diff --git a/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc_node.h~ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc_node.h~ new file mode 100644 index 0000000..cefdb0a --- /dev/null +++ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/modified_rodrigues_nmpc_node.h~ @@ -0,0 +1,120 @@ +/* + Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + + You can contact the author at + + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are met: + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + * Neither the name of ETHZ-ASL nor the + names of its contributors may be used to endorse or promote products + derived from this software without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND + ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED + WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY + DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES + (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND + ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ +#ifndef INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_NODE_H_ +#define INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_NODE_H_ + +#include +#include +#include + +//ros +#include +#include + +//ros msgs +#include +#include +#include +#include +#include +#include +#include + +//dynamic reconfiguration +#include +#include + +#include +#include "../mav_variable_pitch_nmpc/variable_pitch_nmpc.h" + +namespace mav_control { + +class NonLinearModelPredictiveControllerNode : public mav_control_interface::PositionControllerInterface +{ + public: + NonLinearModelPredictiveControllerNode(const ros::NodeHandle& nh, const ros::NodeHandle& private_nh); + ~NonLinearModelPredictiveControllerNode(); + + void InitializeParams(); + + EIGEN_MAKE_ALIGNED_OPERATOR_NEW + private: + + ros::NodeHandle nh_; + ros::NodeHandle private_nh_; + + //publishers + // ros::Publisher motor_velocity_reference_pub_; + NonlinearModelPredictiveControl nonlinear_mpc_; + + dynamic_reconfigure::Server controller_dyn_config_server_; + + void ControllerDynConfigCallback(mav_variable_pitch_nmpc::NonLinearMPCConfig &config, uint32_t level); + + virtual std::string getName() const + { + return std::string("nonlinear_model_predictive_controller"); + } + + virtual bool getUseAttitudeQuaternionCommand() const + { + return false; // what is this? + } + + virtual double getMass() const { + return nonlinear_mpc_.getMass(); + } + + virtual bool setReference(const mav_msgs::EigenTrajectoryPoint& reference); + + virtual bool setReferenceArray(const mav_msgs::EigenTrajectoryPointDeque& reference_array); + + virtual bool setOdometry(const mav_msgs::EigenOdometry& odometry); + + virtual bool calculateForcesCommand(mav_msgs::Actuators* forces_command); + + // virtual bool calculateTorqueThrustCommand(mav_msgs::EigenTorqueThrust* torquethrust_command); + +// virtual bool calculateAttitudeThrustCommand(mav_msgs::EigenAttitudeThrust* attitude_thrust_command); //not needed + + virtual bool getCurrentReference(mav_msgs::EigenTrajectoryPoint* reference) const; + + virtual bool getCurrentReference(mav_msgs::EigenTrajectoryPointDeque* reference) const; + + virtual bool getPredictedState(mav_msgs::EigenTrajectoryPointDeque* predicted_state) const; + + void uavStatusCallback(const mav_msgs::StatusConstPtr& msg); + +}; + +} + + +#endif /* INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_NODE_H_ */ diff --git a/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/variable_pitch_nmpc.h~ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/variable_pitch_nmpc.h~ new file mode 100644 index 0000000..528ed01 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/variable_pitch_nmpc.h~ @@ -0,0 +1,259 @@ +/* + Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + + You can contact the author at + + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are met: + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + * Neither the name of ETHZ-ASL nor the + names of its contributors may be used to endorse or promote products + derived from this software without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND + ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED + WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY + DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES + (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND + ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +#ifndef INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_H_ +#define INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_H_ + +#include +#include +#include +#include +#include +#include +#include "acado_common.h" +#include "acado_auxiliary_functions.h" +#include +#include +#include + +ACADOvariables acadoVariables; +ACADOworkspace acadoWorkspace; + +namespace mav_control { + +lapack_logical select_lhp(const double *real, const double *imag) +{ + return *real < 0.0; +} //what is this? + +class NonlinearModelPredictiveControl +{ + public: + NonlinearModelPredictiveControl(const ros::NodeHandle& nh, const ros::NodeHandle& private_nh); + ~NonlinearModelPredictiveControl(); + + // Dynamic parameters + void setPositionPenality(const Eigen::Vector3d& q_position) + { + q_position_ = q_position; + } + void setVelocityPenality(const Eigen::Vector3d& q_velocity) + { + q_velocity_ = q_velocity; + } + void setAttitudePenality(const Eigen::Vector3d& q_attitude) + { + q_attitude_ = q_attitude; + } + void setAngVelPenality(const Eigen::Vector3d& q_angVel) + { + q_angVel_ = q_angVel; + } + void setCommandPenality(const Eigen::Vector4d& r_command) // penalty on f1,f2,f3,f4 + { + r_command_ = r_command; + } + + + void setAltitudeIntratorGain(double Ki_altitude) + { + Ki_altitude_ = Ki_altitude; + } + + void setXYIntratorGain(double Ki_xy) + { + Ki_xy_ = Ki_xy; + } + + void setEnableOffsetFree(bool enable_offset_free) + { + enable_offset_free_ = enable_offset_free; + } + + void setEnableIntegrator(bool enable_integrator) + { + enable_integrator_ = enable_integrator; + } + + void setControlLimits(const Eigen::VectorXd& control_limits) + { +/* //roll_max, pitch_max, yaw_rate_max, thrust_min and thrust_max + roll_limit_ = control_limits(0); + pitch_limit_ = control_limits(1); + yaw_rate_limit_ = control_limits(2); + thrust_min_ = control_limits(3); + thrust_max_ = control_limits(4); +*/ + force_min_ = control_limits(0); // constraint on f1,f2,f3,f4 + force_max_ = control_limits(1); + } + + void applyParameters(); + + double getMass() const //Do we need this? mass is online data + { + return mass_; + } + + // get reference and predicted state + bool getCurrentReference(mav_msgs::EigenTrajectoryPoint* reference) const; + bool getCurrentReference(mav_msgs::EigenTrajectoryPointDeque* reference) const; + bool getPredictedState(mav_msgs::EigenTrajectoryPointDeque* predicted_state) const; + + // set odom and commands + void setOdometry(const mav_msgs::EigenOdometry& odometry); + void setCommandTrajectoryPoint(const mav_msgs::EigenTrajectoryPoint& command_trajectory); //what is this for?? setting reference? + void setCommandTrajectory(const mav_msgs::EigenTrajectoryPointDeque& command_trajectory); + + // compute control input + // void calculateRollPitchYawrateThrustCommand(Eigen::Vector4d* ref_attitude_thrust); + void calculateForcesCommand(Eigen::VectorXd* ref_forces); //normalized forces +// void calculateTorqueThrustCommand(Eigen::Vector3d* ref_torque, Eigen::Vector3d* ref_thrust); + // Eigen::Quaterniond quatMult(Eigen::Quaterniond q1, Eigen::Quaterniond q2); + double normalizeForce(double force); + + + EIGEN_MAKE_ALIGNED_OPERATOR_NEW + private: + + // constants + static constexpr double kGravity = 9.8066; + static constexpr int kDisturbanceSize = 3; // what is this for?? Do we need it? + + // ros node handles + ros::NodeHandle nh_, private_nh_; + + // reset integrator service + ros::ServiceServer reset_integrator_service_server_; + bool resetIntegratorServiceCallback(std_srvs::Empty::Request &req, + std_srvs::Empty::Response &res); + + // sampling time parameters + void initializeParameters(); + bool initialized_parameters_; + + // sampling time parameters + double sampling_time_; + double prediction_sampling_time_; + + // system model parameters + double mass_; + Eigen::Vector3d inertia_; // added by me, should we add length of arm and yaw_ref used as quat_desired in the model? + double drag_coefficient_; // added by me, should we add inverse of inertia as well? + double armlength_; +// double yaw_ref_; // added by me bcz online data +// double roll_time_constant_; +// double roll_gain_; +// double pitch_time_constant_; +// double pitch_gain_; +//Eigen::Vector3d drag_coefficients_; + + + // controller parameters + // state penalty + Eigen::Vector3d q_position_; + Eigen::Vector3d q_velocity_; + Eigen::Vector3d q_attitude_; + Eigen::Vector3d q_angVel_; + + // control penalty + Eigen::Vector4d r_command_; + + // yaw P gain +// double K_yaw_; + + // error integrator + bool enable_integrator_; + double Ki_altitude_; + double Ki_xy_; + double antiwindup_ball_; + Eigen::Vector3d position_error_integration_; + double position_error_integration_limit_; + + // control input limits +// double roll_limit_; +// double pitch_limit_; +// double yaw_rate_limit_; + double force_min_; + double force_max_; + + // reference queue + MPCQueue mpc_queue_; +// Vector3dDeque position_ref_, velocity_ref_, acceleration_ref_; +// std::deque yaw_ref_, yaw_rate_ref_; + Vector3dDeque position_ref_, velocity_ref_, acceleration_ref_; + std::deque yaw_ref_, yaw_rate_ref_; // can be used to find desired quat/attitude [cos(yaw_ref/2) 0 0 sin(yaw_ref/2)] or for MPC [1 0 0 0] + + + // solver matrices + Eigen::Matrix W_; + Eigen::Matrix WN_; + Eigen::Matrix state_; + Eigen::Matrix input_; + Eigen::Matrix reference_; + Eigen::Matrix referenceN_; + Eigen::Matrix acado_online_data_; + + // disturbance observer + bool enable_offset_free_; + // KFDisturbanceObserver disturbance_observer_; + + // commands +// Eigen::Vector4d command_roll_pitch_yaw_thrust_; + Eigen::Vector4d command_f1_f2_f3_f4_; +// Eigen::Vector3d command_thrust_; +// Eigen::Vector3d command_torque_; + + + // debug info + bool verbose_; + double solve_time_average_; + + // most recent odometry information + mav_msgs::EigenOdometry odometry_; + Eigen::Vector3d position_error_ ; //added by me + Eigen::Vector3d velocity_error_ ;//added by me + Eigen::Quaterniond attitude_error_; //added by me + Eigen::Vector3d angVel_error_; //added by me + bool received_first_odometry_; + + // initilize solver + void initializeAcadoSolver(Eigen::VectorXd x0); + + + // solve continuous time Riccati equation +// Eigen::MatrixXd solveCARE(Eigen::MatrixXd Q, Eigen::MatrixXd R); //Do we need this? + + +}; + +} + +#endif /* INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_H_ */ diff --git a/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/variable_pitch_nmpc_node.h~ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/variable_pitch_nmpc_node.h~ new file mode 100644 index 0000000..05a18ad --- /dev/null +++ b/mav_modified_rodrigues_nmpc/include/mav_modified_rodrigues_nmpc/variable_pitch_nmpc_node.h~ @@ -0,0 +1,118 @@ +/* + Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + + You can contact the author at + + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are met: + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + * Neither the name of ETHZ-ASL nor the + names of its contributors may be used to endorse or promote products + derived from this software without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND + ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED + WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY + DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES + (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND + ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ +#ifndef INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_NODE_H_ +#define INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_NODE_H_ + +#include +#include +#include + +//ros +#include +#include + +//ros msgs +#include +#include +#include +#include +#include +#include +#include + +//dynamic reconfiguration +#include +#include + +#include +#include "../mav_variable_pitch_nmpc/variable_pitch_nmpc.h" + +namespace mav_control { + +class NonLinearModelPredictiveControllerNode : public mav_control_interface::PositionControllerInterface +{ + public: + NonLinearModelPredictiveControllerNode(const ros::NodeHandle& nh, const ros::NodeHandle& private_nh); + ~NonLinearModelPredictiveControllerNode(); + + void InitializeParams(); + + EIGEN_MAKE_ALIGNED_OPERATOR_NEW + private: + + //publishers +// ros::Publisher motor_velocity_reference_pub_; + + NonlinearModelPredictiveControl nonlinear_mpc_; + + dynamic_reconfigure::Server controller_dyn_config_server_; + + void ControllerDynConfigCallback(mav_variable_pitch_nmpc::NonLinearMPCConfig &config, uint32_t level); + + virtual std::string getName() const + { + return std::string("nonlinear_model_predictive_controller"); + } + + virtual bool getUseAttitudeQuaternionCommand() const + { + return false; // what is this? + } + + virtual double getMass() const { + return nonlinear_mpc_.getMass(); + } + + virtual bool setReference(const mav_msgs::EigenTrajectoryPoint& reference); + + virtual bool setReferenceArray(const mav_msgs::EigenTrajectoryPointDeque& reference_array); + + virtual bool setOdometry(const mav_msgs::EigenOdometry& odometry); + + virtual bool calculateForcesCommand(mav_msgs::EigenActuators* forces_command); + + // virtual bool calculateTorqueThrustCommand(mav_msgs::EigenTorqueThrust* torquethrust_command); + + virtual bool calculateAttitudeThrustCommand(mav_msgs::EigenAttitudeThrust* attitude_thrust_command); //not needed + + virtual bool getCurrentReference(mav_msgs::EigenTrajectoryPoint* reference) const; + + virtual bool getCurrentReference(mav_msgs::EigenTrajectoryPointDeque* reference) const; + + virtual bool getPredictedState(mav_msgs::EigenTrajectoryPointDeque* predicted_state) const; + + void uavStatusCallback(const mav_msgs::StatusConstPtr& msg); + +}; + +} + + +#endif /* INCLUDE_MAV_VARIABLE_PITCH_NMPC_VARIABLE_PITCH_NMPC_NODE_H_ */ diff --git a/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc.launch b/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc.launch new file mode 100644 index 0000000..ffb73e3 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc.launch @@ -0,0 +1,14 @@ + + + + + + + + + + + + + + diff --git a/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc.launch~ b/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc.launch~ new file mode 100644 index 0000000..9c36c29 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc.launch~ @@ -0,0 +1,14 @@ + + + + + + + + + + + + + + diff --git a/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc_sim.launch b/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc_sim.launch new file mode 100644 index 0000000..94b6fc7 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc_sim.launch @@ -0,0 +1,14 @@ + + + + + + + + + + + + + + diff --git a/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc_sim.launch~ b/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc_sim.launch~ new file mode 100644 index 0000000..90b1d86 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/launch/mav_modified_rodrigues_nmpc_sim.launch~ @@ -0,0 +1,14 @@ + + + + + + + + + + + + + + diff --git a/mav_modified_rodrigues_nmpc/launch/mav_nonlinear_mpc.launch~ b/mav_modified_rodrigues_nmpc/launch/mav_nonlinear_mpc.launch~ new file mode 100644 index 0000000..3ba0f7b --- /dev/null +++ b/mav_modified_rodrigues_nmpc/launch/mav_nonlinear_mpc.launch~ @@ -0,0 +1,14 @@ + + + + + + + + + + + + + + diff --git a/mav_modified_rodrigues_nmpc/launch/mav_nonlinear_mpc_sim.launch~ b/mav_modified_rodrigues_nmpc/launch/mav_nonlinear_mpc_sim.launch~ new file mode 100644 index 0000000..d274a59 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/launch/mav_nonlinear_mpc_sim.launch~ @@ -0,0 +1,14 @@ + + + + + + + + + + + + + + diff --git a/mav_modified_rodrigues_nmpc/launch/mav_variable_pitch_nmpc_sim.launch~ b/mav_modified_rodrigues_nmpc/launch/mav_variable_pitch_nmpc_sim.launch~ new file mode 100644 index 0000000..dfcc160 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/launch/mav_variable_pitch_nmpc_sim.launch~ @@ -0,0 +1,14 @@ + + + + + + + + + + + + + + diff --git a/mav_modified_rodrigues_nmpc/package.xml b/mav_modified_rodrigues_nmpc/package.xml new file mode 100644 index 0000000..5e3acd5 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/package.xml @@ -0,0 +1,25 @@ + + + mav_modified_rodrigues_nmpc + 1.0.0 + + Nonlinear model predictive controller for trajectory tracking of multirotor variable pitch system + + + Mina Kamel + + BSD + + catkin + catkin_simple + + mav_msgs + std_msgs + cmake_modules + geometry_msgs + roscpp + dynamic_reconfigure + tf + mav_control_interface + mav_disturbance_observer + diff --git a/mav_modified_rodrigues_nmpc/package.xml~ b/mav_modified_rodrigues_nmpc/package.xml~ new file mode 100644 index 0000000..253eb39 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/package.xml~ @@ -0,0 +1,25 @@ + + + mav_variable_pitch_nmpc + 1.0.0 + + Nonlinear model predictive controller for trajectory tracking of multirotor variable pitch system + + + Mina Kamel + + BSD + + catkin + catkin_simple + + mav_msgs + std_msgs + cmake_modules + geometry_msgs + roscpp + dynamic_reconfigure + tf + mav_control_interface + mav_disturbance_observer + diff --git a/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_hummingbird.yaml b/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_hummingbird.yaml new file mode 100644 index 0000000..2de1a9c --- /dev/null +++ b/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_hummingbird.yaml @@ -0,0 +1,61 @@ +#================================================================================================================== +# +# Project: Nonlinear MPC for Hexacopter trajectory tracking. +# +# function: NMPC Position controller parameters. +# +# Author: Mina Kamel mina.kamel@ethz.ch +# +# Generated: 20-Dec-2015 02:37:59 +# +#================================================================================================================== + +## Controller Parameters: +mass: 0.716 +armlength: 0.17 +inertia: [0.007, 0.007, 0.012] +drag_coefficient: 0.000100 +#0.000100 +#8.06428e-05 + +# dynamic config default values: +q_x : 150 +q_y : 150 +q_z : 150 + +q_vx : 70 +q_vy : 70 +q_vz : 70 + +q_mrp1 : 150 +q_mrp2 : 150 +q_mrp3 : 150 + +q_wx : 100 +q_wy : 100 +q_wz : 100 + +r_f1 : 10 +r_f2 : 10 +r_f3 : 10 +r_f4 : 10 + + + +force_min: -6 +force_max: 6 + +angVel_ref: 0 + +Ki_xy: 0.2 +Ki_altitude: 0.2 +position_error_integration_limit: 2 +antiwindup_ball: 0.4 + + +enable_offset_free : false +enable_integrator : false +enable_shadow_mrp : true + +sampling_time: 0.01 #IMPORTANT: set this equal to the rate of odometry msg +prediction_sampling_time: 0.1 #was 0.01 diff --git a/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_hummingbird.yaml~ b/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_hummingbird.yaml~ new file mode 100644 index 0000000..4801e4c --- /dev/null +++ b/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_hummingbird.yaml~ @@ -0,0 +1,61 @@ +#================================================================================================================== +# +# Project: Nonlinear MPC for Hexacopter trajectory tracking. +# +# function: NMPC Position controller parameters. +# +# Author: Mina Kamel mina.kamel@ethz.ch +# +# Generated: 20-Dec-2015 02:37:59 +# +#================================================================================================================== + +## Controller Parameters: +mass: 0.716 +armlength: 0.17 +inertia: [0.007, 0.007, 0.012] +drag_coefficient: 0.000100 +#0.000100 +#8.06428e-05 + +# dynamic config default values: +q_x : 150 +q_y : 150 +q_z : 150 + +q_vx : 70 +q_vy : 70 +q_vz : 70 + +q_mrp1 : 150 +q_mrp2 : 150 +q_mrp3 : 150 + +q_wx : 100 +q_wy : 100 +q_wz : 100 + +r_f1 : 10 +r_f2 : 10 +r_f3 : 10 +r_f4 : 10 + + + +force_min: -6 +force_max: 6 + +angVel_ref: 0 + +Ki_xy: 0.2 +Ki_altitude: 0.2 +position_error_integration_limit: 2 +antiwindup_ball: 0.4 + + +enable_offset_free : false +enable_integrator : false +enable_shadow_mrp : false + +sampling_time: 0.01 #IMPORTANT: set this equal to the rate of odometry msg +prediction_sampling_time: 0.1 #was 0.01 diff --git a/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_neo11.yaml b/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_neo11.yaml new file mode 100644 index 0000000..00be89e --- /dev/null +++ b/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_neo11.yaml @@ -0,0 +1,63 @@ +#================================================================================================================== +# +# Project: Nonlinear MPC for Hexacopter trajectory tracking. +# +# function: NMPC Position controller parameters. +# +# Author: Mina Kamel mina.kamel@ethz.ch +# +# Generated: 20-Dec-2015 02:37:59 +# +#================================================================================================================== + +## Controller Parameters: +mass: 3.75 #3.42 actual +armlength: 0.2895 +inertia: [0.0608, 0.0688, 0.1489] +drag_coefficient: 0.000100 +#0.000100 2.0673e-04 + + +# dynamic config default values: +q_x : 150 +q_y : 150 +q_z : 150 + +q_vx : 70 +q_vy : 70 +q_vz : 70 + +q_mrp1 : 150 +q_mrp2 : 150 +q_mrp3 : 150 + +q_wx : 100 +q_wy : 100 +q_wz : 100 + +r_f1 : 10 +r_f2 : 10 +r_f3 : 10 +r_f4 : 10 +r_f5 : 10 +r_f6 : 10 + + + +force_min: -8 +force_max: 8 + +angVel_ref: 0 + +Ki_xy: 0.2 +Ki_altitude: 0.2 +position_error_integration_limit: 2 +antiwindup_ball: 0.4 + + +enable_offset_free : false +enable_integrator : false +enable_shadow_mrp : true + +sampling_time: 0.01 #IMPORTANT: set this equal to the rate of odometry msg +prediction_sampling_time: 0.1 diff --git a/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_neo11.yaml~ b/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_neo11.yaml~ new file mode 100644 index 0000000..00be89e --- /dev/null +++ b/mav_modified_rodrigues_nmpc/resources/modified_rodrigues_nmpc_neo11.yaml~ @@ -0,0 +1,63 @@ +#================================================================================================================== +# +# Project: Nonlinear MPC for Hexacopter trajectory tracking. +# +# function: NMPC Position controller parameters. +# +# Author: Mina Kamel mina.kamel@ethz.ch +# +# Generated: 20-Dec-2015 02:37:59 +# +#================================================================================================================== + +## Controller Parameters: +mass: 3.75 #3.42 actual +armlength: 0.2895 +inertia: [0.0608, 0.0688, 0.1489] +drag_coefficient: 0.000100 +#0.000100 2.0673e-04 + + +# dynamic config default values: +q_x : 150 +q_y : 150 +q_z : 150 + +q_vx : 70 +q_vy : 70 +q_vz : 70 + +q_mrp1 : 150 +q_mrp2 : 150 +q_mrp3 : 150 + +q_wx : 100 +q_wy : 100 +q_wz : 100 + +r_f1 : 10 +r_f2 : 10 +r_f3 : 10 +r_f4 : 10 +r_f5 : 10 +r_f6 : 10 + + + +force_min: -8 +force_max: 8 + +angVel_ref: 0 + +Ki_xy: 0.2 +Ki_altitude: 0.2 +position_error_integration_limit: 2 +antiwindup_ball: 0.4 + + +enable_offset_free : false +enable_integrator : false +enable_shadow_mrp : true + +sampling_time: 0.01 #IMPORTANT: set this equal to the rate of odometry msg +prediction_sampling_time: 0.1 diff --git a/mav_modified_rodrigues_nmpc/resources/variable_pitch_nmpc_hummingbird.yaml~ b/mav_modified_rodrigues_nmpc/resources/variable_pitch_nmpc_hummingbird.yaml~ new file mode 100644 index 0000000..3149deb --- /dev/null +++ b/mav_modified_rodrigues_nmpc/resources/variable_pitch_nmpc_hummingbird.yaml~ @@ -0,0 +1,58 @@ +#================================================================================================================== +# +# Project: Nonlinear MPC for Hexacopter trajectory tracking. +# +# function: NMPC Position controller parameters. +# +# Author: Mina Kamel mina.kamel@ethz.ch +# +# Generated: 20-Dec-2015 02:37:59 +# +#================================================================================================================== + +## Controller Parameters: +mass: 0.716 +armlength: 0.17 +inertia: [0.007, 0.007, 0.012] +#drag_coefficients: [ 0.010000 , 0.010000, 0.0000] +drag_coefficient: 0.000100 + +# dynamic config default values: +q_x : 100 +q_y : 100 +q_z : 160 + +q_vx : 30 +q_vy : 30 +q_vz : 60 + +q_mrp1 : 5 +q_mrp2 : 5 +q_mrp3 : 5 + +q_wx : 1 +q_wy : 1 +q_wz : 1 + +r_f1 : 25 +r_f2 : 25 +r_f3 : 25 +r_f4 : 25 + + + +force_min: 0 +force_max: 2.5 + + +Ki_xy: 0.2 +Ki_altitude: 0.2 +position_error_integration_limit: 2 +antiwindup_ball: 0.4 + + +enable_offset_free : false +enable_integrator : false + +sampling_time: 0.01 #IMPORTANT: set this equal to the rate of odometry msg +prediction_sampling_time: 0.1 diff --git a/mav_modified_rodrigues_nmpc/solver/Makefile b/mav_modified_rodrigues_nmpc/solver/Makefile new file mode 100644 index 0000000..2c30c7a --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/Makefile @@ -0,0 +1,70 @@ +# +# This file was auto-generated using the ACADO Toolkit. +# +# While ACADO Toolkit is free software released under the terms of +# the GNU Lesser General Public License (LGPL), the generated code +# as such remains the property of the user who used ACADO Toolkit +# to generate this code. In particular, user dependent data of the code +# do not inherit the GNU LGPL license. On the other hand, parts of the +# generated code that are a direct copy of source code from the +# ACADO Toolkit or the software tools it is based on, remain, as derived +# work, automatically covered by the LGPL license. +# +# ACADO Toolkit is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +# + + +UNAME := $(shell uname) + +LDLIBS = -lm -lstdc++ +ifeq ($(UNAME), Linux) + LDLIBS += -lrt +endif + +CCACHE_APP := $(shell which ccache 2>/dev/null) + +CFLAGS = -O3 -finline-functions -I. -I./qpoases +CXXFLAGS = -O3 -finline-functions -I. -I./qpoases -I./qpoases/INCLUDE -I./qpoases/SRC +CC = $(CCACHE_APP) gcc +CXX = $(CCACHE_APP) g++ + +OBJECTS = \ + ./qpoases/SRC/Bounds.o \ + ./qpoases/SRC/Constraints.o \ + ./qpoases/SRC/CyclingManager.o \ + ./qpoases/SRC/Indexlist.o \ + ./qpoases/SRC/MessageHandling.o \ + ./qpoases/SRC/QProblem.o \ + ./qpoases/SRC/QProblemB.o \ + ./qpoases/SRC/SubjectTo.o \ + ./qpoases/SRC/Utils.o \ + ./qpoases/SRC/EXTRAS/SolutionAnalysis.o \ + acado_qpoases_interface.o \ + acado_integrator.o \ + acado_solver.o \ + acado_auxiliary_functions.o + +.PHONY: all +all: libacado_exported_rti.a test + +test: ${OBJECTS} test.o + +acado_qpoases_interface.o : acado_qpoases_interface.hpp +acado_solver.o : acado_common.h +acado_integrator.o : acado_common.h +acado_auxiliary_functions.o : acado_common.h \ + acado_auxiliary_functions.h +test.o : acado_common.h \ + acado_qpoases_interface.hpp \ + acado_auxiliary_functions.h + +libacado_exported_rti.a: ${OBJECTS} + ar r $@ $? + +${OBJECTS} : acado_qpoases_interface.hpp + +.PHONY : clean +clean : + -rm -f *.o *.a ./qpoases/*.o ./qpoases/SRC/*.o ./qpoases/SRC/*.a test diff --git a/mav_modified_rodrigues_nmpc/solver/acado_auxiliary_functions.c b/mav_modified_rodrigues_nmpc/solver/acado_auxiliary_functions.c new file mode 100644 index 0000000..6f0bb70 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/acado_auxiliary_functions.c @@ -0,0 +1,212 @@ +/* + * This file was auto-generated using the ACADO Toolkit. + * + * While ACADO Toolkit is free software released under the terms of + * the GNU Lesser General Public License (LGPL), the generated code + * as such remains the property of the user who used ACADO Toolkit + * to generate this code. In particular, user dependent data of the code + * do not inherit the GNU LGPL license. On the other hand, parts of the + * generated code that are a direct copy of source code from the + * ACADO Toolkit or the software tools it is based on, remain, as derived + * work, automatically covered by the LGPL license. + * + * ACADO Toolkit is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + * + */ + + +#include "acado_auxiliary_functions.h" + +#include + +real_t* acado_getVariablesX( ) +{ + return acadoVariables.x; +} + +real_t* acado_getVariablesU( ) +{ + return acadoVariables.u; +} + +#if ACADO_NY > 0 +real_t* acado_getVariablesY( ) +{ + return acadoVariables.y; +} +#endif + +#if ACADO_NYN > 0 +real_t* acado_getVariablesYN( ) +{ + return acadoVariables.yN; +} +#endif + +real_t* acado_getVariablesX0( ) +{ +#if ACADO_INITIAL_VALUE_FIXED + return acadoVariables.x0; +#else + return 0; +#endif +} + +/** Print differential variables. */ +void acado_printDifferentialVariables( ) +{ + int i, j; + printf("\nDifferential variables:\n[\n"); + for (i = 0; i < ACADO_N + 1; ++i) + { + for (j = 0; j < ACADO_NX; ++j) + printf("\t%e", acadoVariables.x[i * ACADO_NX + j]); + printf("\n"); + } + printf("]\n\n"); +} + +/** Print control variables. */ +void acado_printControlVariables( ) +{ + int i, j; + printf("\nControl variables:\n[\n"); + for (i = 0; i < ACADO_N; ++i) + { + for (j = 0; j < ACADO_NU; ++j) + printf("\t%e", acadoVariables.u[i * ACADO_NU + j]); + printf("\n"); + } + printf("]\n\n"); +} + +/** Print ACADO code generation notice. */ +void acado_printHeader( ) +{ + printf( + "\nACADO Toolkit -- A Toolkit for Automatic Control and Dynamic Optimization.\n" + "Copyright (C) 2008-2015 by Boris Houska, Hans Joachim Ferreau,\n" + "Milan Vukov and Rien Quirynen, KU Leuven.\n" + ); + + printf( + "Developed within the Optimization in Engineering Center (OPTEC) under\n" + "supervision of Moritz Diehl. All rights reserved.\n\n" + "ACADO Toolkit is distributed under the terms of the GNU Lesser\n" + "General Public License 3 in the hope that it will be useful,\n" + "but WITHOUT ANY WARRANTY; without even the implied warranty of\n" + "MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the\n" + "GNU Lesser General Public License for more details.\n\n" + ); +} + +#if !(defined _DSPACE) +#if (defined _WIN32 || defined _WIN64) && !(defined __MINGW32__ || defined __MINGW64__) + +void acado_tic( acado_timer* t ) +{ + QueryPerformanceFrequency(&t->freq); + QueryPerformanceCounter(&t->tic); +} + +real_t acado_toc( acado_timer* t ) +{ + QueryPerformanceCounter(&t->toc); + return ((t->toc.QuadPart - t->tic.QuadPart) / (real_t)t->freq.QuadPart); +} + + +#elif (defined __APPLE__) + +void acado_tic( acado_timer* t ) +{ + /* read current clock cycles */ + t->tic = mach_absolute_time(); +} + +real_t acado_toc( acado_timer* t ) +{ + + uint64_t duration; /* elapsed time in clock cycles*/ + + t->toc = mach_absolute_time(); + duration = t->toc - t->tic; + + /*conversion from clock cycles to nanoseconds*/ + mach_timebase_info(&(t->tinfo)); + duration *= t->tinfo.numer; + duration /= t->tinfo.denom; + + return (real_t)duration / 1e9; +} + +#else + +#if __STDC_VERSION__ >= 199901L +/* C99 mode */ + +/* read current time */ +void acado_tic( acado_timer* t ) +{ + gettimeofday(&t->tic, 0); +} + +/* return time passed since last call to tic on this timer */ +real_t acado_toc( acado_timer* t ) +{ + struct timeval temp; + + gettimeofday(&t->toc, 0); + + if ((t->toc.tv_usec - t->tic.tv_usec) < 0) + { + temp.tv_sec = t->toc.tv_sec - t->tic.tv_sec - 1; + temp.tv_usec = 1000000 + t->toc.tv_usec - t->tic.tv_usec; + } + else + { + temp.tv_sec = t->toc.tv_sec - t->tic.tv_sec; + temp.tv_usec = t->toc.tv_usec - t->tic.tv_usec; + } + + return (real_t)temp.tv_sec + (real_t)temp.tv_usec / 1e6; +} + +#else +/* ANSI */ + +/* read current time */ +void acado_tic( acado_timer* t ) +{ + clock_gettime(CLOCK_MONOTONIC, &t->tic); +} + + +/* return time passed since last call to tic on this timer */ +real_t acado_toc( acado_timer* t ) +{ + struct timespec temp; + + clock_gettime(CLOCK_MONOTONIC, &t->toc); + + if ((t->toc.tv_nsec - t->tic.tv_nsec) < 0) + { + temp.tv_sec = t->toc.tv_sec - t->tic.tv_sec - 1; + temp.tv_nsec = 1000000000+t->toc.tv_nsec - t->tic.tv_nsec; + } + else + { + temp.tv_sec = t->toc.tv_sec - t->tic.tv_sec; + temp.tv_nsec = t->toc.tv_nsec - t->tic.tv_nsec; + } + + return (real_t)temp.tv_sec + (real_t)temp.tv_nsec / 1e9; +} + +#endif /* __STDC_VERSION__ >= 199901L */ + +#endif /* (defined _WIN32 || _WIN64) */ + +#endif diff --git a/mav_modified_rodrigues_nmpc/solver/acado_auxiliary_functions.h b/mav_modified_rodrigues_nmpc/solver/acado_auxiliary_functions.h new file mode 100644 index 0000000..b1be0a6 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/acado_auxiliary_functions.h @@ -0,0 +1,138 @@ +/* + * This file was auto-generated using the ACADO Toolkit. + * + * While ACADO Toolkit is free software released under the terms of + * the GNU Lesser General Public License (LGPL), the generated code + * as such remains the property of the user who used ACADO Toolkit + * to generate this code. In particular, user dependent data of the code + * do not inherit the GNU LGPL license. On the other hand, parts of the + * generated code that are a direct copy of source code from the + * ACADO Toolkit or the software tools it is based on, remain, as derived + * work, automatically covered by the LGPL license. + * + * ACADO Toolkit is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + * + */ + + +#ifndef ACADO_AUXILIARY_FUNCTIONS_H +#define ACADO_AUXILIARY_FUNCTIONS_H + +#include "acado_common.h" + +#ifndef __MATLAB__ +#ifdef __cplusplus +extern "C" +{ +#endif /* __cplusplus */ +#endif /* __MATLAB__ */ + +/** Get pointer to the matrix with differential variables. */ +real_t* acado_getVariablesX( ); + +/** Get pointer to the matrix with control variables. */ +real_t* acado_getVariablesU( ); + +#if ACADO_NY > 0 +/** Get pointer to the matrix with references/measurements. */ +real_t* acado_getVariablesY( ); +#endif + +#if ACADO_NYN > 0 +/** Get pointer to the vector with references/measurement on the last node. */ +real_t* acado_getVariablesYN( ); +#endif + +/** Get pointer to the current state feedback vector. Only applicable for NMPC. */ +real_t* acado_getVariablesX0( ); + +/** Print differential variables. */ +void acado_printDifferentialVariables( ); + +/** Print control variables. */ +void acado_printControlVariables( ); + +/** Print ACADO code generation notice. */ +void acado_printHeader( ); + +/* + * A huge thanks goes to Alexander Domahidi from ETHZ, Switzerland, for + * providing us with the following timing routines. + */ + +#if !(defined _DSPACE) +#if (defined _WIN32 || defined _WIN64) && !(defined __MINGW32__ || defined __MINGW64__) + +/* Use Windows QueryPerformanceCounter for timing. */ +#include + +/** A structure for keeping internal timer data. */ +typedef struct acado_timer_ +{ + LARGE_INTEGER tic; + LARGE_INTEGER toc; + LARGE_INTEGER freq; +} acado_timer; + + +#elif (defined __APPLE__) + +#include "unistd.h" +#include + +/** A structure for keeping internal timer data. */ +typedef struct acado_timer_ +{ + uint64_t tic; + uint64_t toc; + mach_timebase_info_data_t tinfo; +} acado_timer; + +#else + +/* Use POSIX clock_gettime() for timing on non-Windows machines. */ +#include + +#if __STDC_VERSION__ >= 199901L +/* C99 mode of operation. */ + +#include +#include + +typedef struct acado_timer_ +{ + struct timeval tic; + struct timeval toc; +} acado_timer; + +#else +/* ANSI C */ + +/** A structure for keeping internal timer data. */ +typedef struct acado_timer_ +{ + struct timespec tic; + struct timespec toc; +} acado_timer; + +#endif /* __STDC_VERSION__ >= 199901L */ + +#endif /* (defined _WIN32 || defined _WIN64) */ + +/** A function for measurement of the current time. */ +void acado_tic( acado_timer* t ); + +/** A function which returns the elapsed time. */ +real_t acado_toc( acado_timer* t ); + +#endif + +#ifndef __MATLAB__ +#ifdef __cplusplus +} /* extern "C" */ +#endif /* __cplusplus */ +#endif /* __MATLAB__ */ + +#endif /* ACADO_AUXILIARY_FUNCTIONS_H */ diff --git a/mav_modified_rodrigues_nmpc/solver/acado_common.h b/mav_modified_rodrigues_nmpc/solver/acado_common.h new file mode 100644 index 0000000..de33877 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/acado_common.h @@ -0,0 +1,351 @@ +/* + * This file was auto-generated using the ACADO Toolkit. + * + * While ACADO Toolkit is free software released under the terms of + * the GNU Lesser General Public License (LGPL), the generated code + * as such remains the property of the user who used ACADO Toolkit + * to generate this code. In particular, user dependent data of the code + * do not inherit the GNU LGPL license. On the other hand, parts of the + * generated code that are a direct copy of source code from the + * ACADO Toolkit or the software tools it is based on, remain, as derived + * work, automatically covered by the LGPL license. + * + * ACADO Toolkit is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + * + */ + + +#ifndef ACADO_COMMON_H +#define ACADO_COMMON_H + +#include +#include + +#ifndef __MATLAB__ +#ifdef __cplusplus +extern "C" +{ +#endif /* __cplusplus */ +#endif /* __MATLAB__ */ + +/** \defgroup ACADO ACADO CGT generated module. */ +/** @{ */ + +/** qpOASES QP solver indicator. */ +#define ACADO_QPOASES 0 +#define ACADO_QPOASES3 1 +/** FORCES QP solver indicator.*/ +#define ACADO_FORCES 2 +/** qpDUNES QP solver indicator.*/ +#define ACADO_QPDUNES 3 +/** HPMPC QP solver indicator. */ +#define ACADO_HPMPC 4 +#define ACADO_GENERIC 5 + +/** Indicator for determining the QP solver used by the ACADO solver code. */ +#define ACADO_QP_SOLVER ACADO_QPOASES + +#include "acado_qpoases_interface.hpp" + + +/* + * Common definitions + */ +/** User defined block based condensing. */ +#define ACADO_BLOCK_CONDENSING 0 +/** Compute covariance matrix of the last state estimate. */ +#define ACADO_COMPUTE_COVARIANCE_MATRIX 0 +/** Flag indicating whether constraint values are hard-coded or not. */ +#define ACADO_HARDCODED_CONSTRAINT_VALUES 0 +/** Indicator for fixed initial state. */ +#define ACADO_INITIAL_STATE_FIXED 1 +/** Number of control/estimation intervals. */ +#define ACADO_N 20 +/** Number of online data values. */ +#define ACADO_NOD 11 +/** Number of path constraints. */ +#define ACADO_NPAC 0 +/** Number of control variables. */ +#define ACADO_NU 4 +/** Number of differential variables. */ +#define ACADO_NX 12 +/** Number of algebraic variables. */ +#define ACADO_NXA 0 +/** Number of differential derivative variables. */ +#define ACADO_NXD 0 +/** Number of references/measurements per node on the first N nodes. */ +#define ACADO_NY 16 +/** Number of references/measurements on the last (N + 1)st node. */ +#define ACADO_NYN 6 +/** Total number of QP optimization variables. */ +#define ACADO_QP_NV 80 +/** Number of integration steps per shooting interval. */ +#define ACADO_RK_NIS 1 +/** Number of Runge-Kutta stages per integration step. */ +#define ACADO_RK_NSTAGES 2 +/** Providing interface for arrival cost. */ +#define ACADO_USE_ARRIVAL_COST 0 +/** Indicator for usage of non-hard-coded linear terms in the objective. */ +#define ACADO_USE_LINEAR_TERMS 0 +/** Indicator for type of fixed weighting matrices. */ +#define ACADO_WEIGHTING_MATRICES_TYPE 1 + + +/* + * Globally used structure definitions + */ + +/** The structure containing the user data. + * + * Via this structure the user "communicates" with the solver code. + */ +typedef struct ACADOvariables_ +{ +int dummy; +/** Matrix of size: 21 x 12 (row major format) + * + * Matrix containing 21 differential variable vectors. + */ +real_t x[ 252 ]; + +/** Matrix of size: 20 x 4 (row major format) + * + * Matrix containing 20 control variable vectors. + */ +real_t u[ 80 ]; + +/** Matrix of size: 21 x 11 (row major format) + * + * Matrix containing 21 online data vectors. + */ +real_t od[ 231 ]; + +/** Column vector of size: 320 + * + * Matrix containing 20 reference/measurement vectors of size 16 for first 20 nodes. + */ +real_t y[ 320 ]; + +/** Column vector of size: 6 + * + * Reference/measurement vector for the 21. node. + */ +real_t yN[ 6 ]; + +/** Matrix of size: 16 x 16 (row major format) */ +real_t W[ 256 ]; + +/** Matrix of size: 6 x 6 (row major format) */ +real_t WN[ 36 ]; + +/** Column vector of size: 12 + * + * Current state feedback vector. + */ +real_t x0[ 12 ]; + +/** Column vector of size: 80 + * + * Lower bounds values. + */ +real_t lbValues[ 80 ]; + +/** Column vector of size: 80 + * + * Upper bounds values. + */ +real_t ubValues[ 80 ]; + + +} ACADOvariables; + +/** Private workspace used by the auto-generated code. + * + * Data members of this structure are private to the solver. + * In other words, the user code should not modify values of this + * structure. + */ +typedef struct ACADOworkspace_ +{ +/** Column vector of size: 792 */ +real_t rhs_aux[ 792 ]; + +/** Column vector of size: 240 */ +real_t d[ 240 ]; + +/** Column vector of size: 320 */ +real_t Dy[ 320 ]; + +/** Column vector of size: 6 */ +real_t DyN[ 6 ]; + +/** Matrix of size: 240 x 12 (row major format) */ +real_t evGx[ 2880 ]; + +/** Matrix of size: 240 x 4 (row major format) */ +real_t evGu[ 960 ]; + +/** Row vector of size: 27 */ +real_t objValueIn[ 27 ]; + +/** Row vector of size: 16 */ +real_t objValueOut[ 16 ]; + +/** Matrix of size: 240 x 12 (row major format) */ +real_t Q1[ 2880 ]; + +/** Matrix of size: 240 x 16 (row major format) */ +real_t Q2[ 3840 ]; + +/** Matrix of size: 80 x 4 (row major format) */ +real_t R1[ 320 ]; + +/** Matrix of size: 80 x 16 (row major format) */ +real_t R2[ 1280 ]; + +/** Matrix of size: 12 x 12 (row major format) */ +real_t QN1[ 144 ]; + +/** Matrix of size: 12 x 6 (row major format) */ +real_t QN2[ 72 ]; + +/** Column vector of size: 252 */ +real_t sbar[ 252 ]; + +/** Column vector of size: 12 */ +real_t Dx0[ 12 ]; + +/** Matrix of size: 12 x 4 (row major format) */ +real_t W1[ 48 ]; + +/** Matrix of size: 12 x 4 (row major format) */ +real_t W2[ 48 ]; + +/** Matrix of size: 2520 x 4 (row major format) */ +real_t E[ 10080 ]; + +/** Column vector of size: 252 */ +real_t QDy[ 252 ]; + +/** Column vector of size: 12 */ +real_t w1[ 12 ]; + +/** Column vector of size: 12 */ +real_t w2[ 12 ]; + +/** Matrix of size: 80 x 80 (row major format) */ +real_t H[ 6400 ]; + +/** Column vector of size: 80 */ +real_t g[ 80 ]; + +/** Column vector of size: 80 */ +real_t lb[ 80 ]; + +/** Column vector of size: 80 */ +real_t ub[ 80 ]; + +/** Column vector of size: 80 */ +real_t x[ 80 ]; + +/** Column vector of size: 80 */ +real_t y[ 80 ]; + + +} ACADOworkspace; + +/* + * Forward function declarations. + */ + + +/** Performs the integration and sensitivity propagation for one shooting interval. + * + * \param rk_eta Working array of size 27 to pass the input values and return the results. + * \param resetIntegrator The internal memory of the integrator can be reset. + * + * \return Status code of the integrator. + */ +int acado_integrate( real_t* const rk_eta, int resetIntegrator ); + +/** Export of an ACADO symbolic function. + * + * \param in Input to the exported function. + * \param out Output of the exported function. + */ +void acado_rhs(const real_t* in, real_t* out); + +/** Export of an ACADO symbolic function. + * + * \param in Input to the exported function. + * \param out Output of the exported function. + */ +void acado_diffs(const real_t* in, real_t* out); + +/** Preparation step of the RTI scheme. + * + * \return Status of the integration module. =0: OK, otherwise the error code. + */ +int acado_preparationStep( ); + +/** Feedback/estimation step of the RTI scheme. + * + * \return Status code of the qpOASES QP solver. + */ +int acado_feedbackStep( ); + +/** Solver initialization. Must be called once before any other function call. + * + * \return =0: OK, otherwise an error code of a QP solver. + */ +int acado_initializeSolver( ); + +/** Initialize shooting nodes by a forward simulation starting from the first node. + */ +void acado_initializeNodesByForwardSimulation( ); + +/** Shift differential variables vector by one interval. + * + * \param strategy Shifting strategy: 1. Initialize node 21 with xEnd. 2. Initialize node 21 by forward simulation. + * \param xEnd Value for the x vector on the last node. If =0 the old value is used. + * \param uEnd Value for the u vector on the second to last node. If =0 the old value is used. + */ +void acado_shiftStates( int strategy, real_t* const xEnd, real_t* const uEnd ); + +/** Shift controls vector by one interval. + * + * \param uEnd Value for the u vector on the second to last node. If =0 the old value is used. + */ +void acado_shiftControls( real_t* const uEnd ); + +/** Get the KKT tolerance of the current iterate. + * + * \return The KKT tolerance value. + */ +real_t acado_getKKT( ); + +/** Calculate the objective value. + * + * \return Value of the objective function. + */ +real_t acado_getObjective( ); + + +/* + * Extern declarations. + */ + +extern ACADOworkspace acadoWorkspace; +extern ACADOvariables acadoVariables; + +/** @} */ + +#ifndef __MATLAB__ +#ifdef __cplusplus +} /* extern "C" */ +#endif /* __cplusplus */ +#endif /* __MATLAB__ */ + +#endif /* ACADO_COMMON_H */ diff --git a/mav_modified_rodrigues_nmpc/solver/acado_integrator.c b/mav_modified_rodrigues_nmpc/solver/acado_integrator.c new file mode 100644 index 0000000..82c28ff --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/acado_integrator.c @@ -0,0 +1,2441 @@ +/* + * This file was auto-generated using the ACADO Toolkit. + * + * While ACADO Toolkit is free software released under the terms of + * the GNU Lesser General Public License (LGPL), the generated code + * as such remains the property of the user who used ACADO Toolkit + * to generate this code. In particular, user dependent data of the code + * do not inherit the GNU LGPL license. On the other hand, parts of the + * generated code that are a direct copy of source code from the + * ACADO Toolkit or the software tools it is based on, remain, as derived + * work, automatically covered by the LGPL license. + * + * ACADO Toolkit is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + * + */ + + +#include "acado_common.h" + + +real_t rk_dim24_swap; + +/** Column vector of size: 24 */ +real_t rk_dim24_bPerm[ 24 ]; + +/** Column vector of size: 792 */ +real_t auxVar[ 792 ]; + +real_t rk_ttt; + +/** Row vector of size: 27 */ +real_t rk_xxx[ 27 ]; + +/** Matrix of size: 12 x 2 (row major format) */ +real_t rk_kkk[ 24 ]; + +/** Matrix of size: 24 x 24 (row major format) */ +real_t rk_A[ 576 ]; + +/** Column vector of size: 24 */ +real_t rk_b[ 24 ]; + +/** Row vector of size: 24 */ +int rk_dim24_perm[ 24 ]; + +/** Column vector of size: 12 */ +real_t rk_rhsTemp[ 12 ]; + +/** Matrix of size: 2 x 192 (row major format) */ +real_t rk_diffsTemp2[ 384 ]; + +/** Matrix of size: 12 x 2 (row major format) */ +real_t rk_diffK[ 24 ]; + +/** Matrix of size: 12 x 16 (row major format) */ +real_t rk_diffsNew2[ 192 ]; + +#pragma omp threadprivate( auxVar, rk_ttt, rk_xxx, rk_kkk, rk_diffK, rk_rhsTemp, rk_dim24_perm, rk_A, rk_b, rk_diffsNew2, rk_diffsTemp2, rk_dim24_swap, rk_dim24_bPerm ) + +void acado_rhs(const real_t* in, real_t* out) +{ +const real_t* xd = in; +const real_t* u = in + 12; +const real_t* od = in + 16; +/* Vector of auxiliary variables; number of elements: 316. */ +real_t* a = auxVar; + +/* Compute intermediate quantities: */ +a[0] = ((xd[6])*(xd[6])); +a[1] = ((xd[7])*(xd[7])); +a[2] = ((xd[8])*(xd[8])); +a[3] = ((xd[6])*(xd[6])); +a[4] = ((xd[7])*(xd[7])); +a[5] = ((xd[8])*(xd[8])); +a[6] = ((xd[6])*(xd[6])); +a[7] = ((xd[7])*(xd[7])); +a[8] = ((xd[8])*(xd[8])); +a[9] = ((xd[6])*(xd[6])); +a[10] = ((xd[7])*(xd[7])); +a[11] = ((xd[8])*(xd[8])); +a[12] = ((xd[6])*(xd[6])); +a[13] = ((xd[7])*(xd[7])); +a[14] = ((xd[8])*(xd[8])); +a[15] = ((xd[6])*(xd[6])); +a[16] = ((xd[7])*(xd[7])); +a[17] = ((xd[8])*(xd[8])); +a[18] = ((xd[6])*(xd[6])); +a[19] = ((xd[7])*(xd[7])); +a[20] = ((xd[8])*(xd[8])); +a[21] = ((xd[6])*(xd[6])); +a[22] = ((xd[7])*(xd[7])); +a[23] = ((xd[8])*(xd[8])); +a[24] = ((xd[6])*(xd[6])); +a[25] = ((xd[7])*(xd[7])); +a[26] = ((xd[8])*(xd[8])); +a[27] = ((xd[6])*(xd[6])); +a[28] = ((xd[7])*(xd[7])); +a[29] = ((xd[8])*(xd[8])); +a[30] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[31] = ((xd[6])*(xd[6])); +a[32] = ((xd[7])*(xd[7])); +a[33] = ((xd[8])*(xd[8])); +a[34] = ((xd[6])*(xd[6])); +a[35] = ((xd[7])*(xd[7])); +a[36] = ((xd[8])*(xd[8])); +a[37] = ((xd[6])*(xd[6])); +a[38] = ((xd[7])*(xd[7])); +a[39] = ((xd[8])*(xd[8])); +a[40] = ((xd[6])*(xd[6])); +a[41] = ((xd[7])*(xd[7])); +a[42] = ((xd[8])*(xd[8])); +a[43] = ((xd[6])*(xd[6])); +a[44] = ((xd[7])*(xd[7])); +a[45] = ((xd[8])*(xd[8])); +a[46] = ((xd[6])*(xd[6])); +a[47] = ((xd[7])*(xd[7])); +a[48] = ((xd[8])*(xd[8])); +a[49] = ((xd[6])*(xd[6])); +a[50] = ((xd[7])*(xd[7])); +a[51] = ((xd[8])*(xd[8])); +a[52] = ((xd[6])*(xd[6])); +a[53] = ((xd[7])*(xd[7])); +a[54] = ((xd[8])*(xd[8])); +a[55] = ((xd[6])*(xd[6])); +a[56] = ((xd[7])*(xd[7])); +a[57] = ((xd[8])*(xd[8])); +a[58] = ((xd[6])*(xd[6])); +a[59] = ((xd[7])*(xd[7])); +a[60] = ((xd[8])*(xd[8])); +a[61] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[62] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[63] = ((xd[6])*(xd[6])); +a[64] = ((xd[7])*(xd[7])); +a[65] = ((xd[8])*(xd[8])); +a[66] = ((xd[6])*(xd[6])); +a[67] = ((xd[7])*(xd[7])); +a[68] = ((xd[8])*(xd[8])); +a[69] = ((xd[6])*(xd[6])); +a[70] = ((xd[7])*(xd[7])); +a[71] = ((xd[8])*(xd[8])); +a[72] = ((xd[6])*(xd[6])); +a[73] = ((xd[7])*(xd[7])); +a[74] = ((xd[8])*(xd[8])); +a[75] = ((xd[6])*(xd[6])); +a[76] = ((xd[7])*(xd[7])); +a[77] = ((xd[8])*(xd[8])); +a[78] = ((xd[6])*(xd[6])); +a[79] = ((xd[7])*(xd[7])); +a[80] = ((xd[8])*(xd[8])); +a[81] = ((xd[6])*(xd[6])); +a[82] = ((xd[7])*(xd[7])); +a[83] = ((xd[8])*(xd[8])); +a[84] = ((xd[6])*(xd[6])); +a[85] = ((xd[7])*(xd[7])); +a[86] = ((xd[8])*(xd[8])); +a[87] = ((xd[6])*(xd[6])); +a[88] = ((xd[7])*(xd[7])); +a[89] = ((xd[8])*(xd[8])); +a[90] = ((xd[6])*(xd[6])); +a[91] = ((xd[7])*(xd[7])); +a[92] = ((xd[8])*(xd[8])); +a[93] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[94] = ((xd[6])*(xd[6])); +a[95] = ((xd[7])*(xd[7])); +a[96] = ((xd[8])*(xd[8])); +a[97] = ((xd[6])*(xd[6])); +a[98] = ((xd[7])*(xd[7])); +a[99] = ((xd[8])*(xd[8])); +a[100] = ((xd[6])*(xd[6])); +a[101] = ((xd[7])*(xd[7])); +a[102] = ((xd[8])*(xd[8])); +a[103] = ((xd[6])*(xd[6])); +a[104] = ((xd[7])*(xd[7])); +a[105] = ((xd[8])*(xd[8])); +a[106] = ((xd[6])*(xd[6])); +a[107] = ((xd[7])*(xd[7])); +a[108] = ((xd[8])*(xd[8])); +a[109] = ((xd[6])*(xd[6])); +a[110] = ((xd[7])*(xd[7])); +a[111] = ((xd[8])*(xd[8])); +a[112] = ((xd[6])*(xd[6])); +a[113] = ((xd[7])*(xd[7])); +a[114] = ((xd[8])*(xd[8])); +a[115] = ((xd[6])*(xd[6])); +a[116] = ((xd[7])*(xd[7])); +a[117] = ((xd[8])*(xd[8])); +a[118] = ((xd[6])*(xd[6])); +a[119] = ((xd[7])*(xd[7])); +a[120] = ((xd[8])*(xd[8])); +a[121] = ((xd[6])*(xd[6])); +a[122] = ((xd[7])*(xd[7])); +a[123] = ((xd[8])*(xd[8])); +a[124] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[125] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[126] = ((xd[6])*(xd[6])); +a[127] = ((xd[7])*(xd[7])); +a[128] = ((xd[8])*(xd[8])); +a[129] = ((xd[6])*(xd[6])); +a[130] = ((xd[7])*(xd[7])); +a[131] = ((xd[8])*(xd[8])); +a[132] = ((xd[6])*(xd[6])); +a[133] = ((xd[7])*(xd[7])); +a[134] = ((xd[8])*(xd[8])); +a[135] = ((xd[6])*(xd[6])); +a[136] = ((xd[7])*(xd[7])); +a[137] = ((xd[8])*(xd[8])); +a[138] = ((xd[6])*(xd[6])); +a[139] = ((xd[7])*(xd[7])); +a[140] = ((xd[8])*(xd[8])); +a[141] = ((xd[6])*(xd[6])); +a[142] = ((xd[7])*(xd[7])); +a[143] = ((xd[8])*(xd[8])); +a[144] = ((xd[6])*(xd[6])); +a[145] = ((xd[7])*(xd[7])); +a[146] = ((xd[8])*(xd[8])); +a[147] = ((xd[6])*(xd[6])); +a[148] = ((xd[7])*(xd[7])); +a[149] = ((xd[8])*(xd[8])); +a[150] = ((xd[6])*(xd[6])); +a[151] = ((xd[7])*(xd[7])); +a[152] = ((xd[8])*(xd[8])); +a[153] = ((xd[6])*(xd[6])); +a[154] = ((xd[7])*(xd[7])); +a[155] = ((xd[8])*(xd[8])); +a[156] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[157] = ((xd[6])*(xd[6])); +a[158] = ((xd[7])*(xd[7])); +a[159] = ((xd[8])*(xd[8])); +a[160] = ((xd[6])*(xd[6])); +a[161] = ((xd[7])*(xd[7])); +a[162] = ((xd[8])*(xd[8])); +a[163] = ((xd[6])*(xd[6])); +a[164] = ((xd[7])*(xd[7])); +a[165] = ((xd[8])*(xd[8])); +a[166] = ((xd[6])*(xd[6])); +a[167] = ((xd[7])*(xd[7])); +a[168] = ((xd[8])*(xd[8])); +a[169] = ((xd[6])*(xd[6])); +a[170] = ((xd[7])*(xd[7])); +a[171] = ((xd[8])*(xd[8])); +a[172] = ((xd[6])*(xd[6])); +a[173] = ((xd[7])*(xd[7])); +a[174] = ((xd[8])*(xd[8])); +a[175] = ((xd[6])*(xd[6])); +a[176] = ((xd[7])*(xd[7])); +a[177] = ((xd[8])*(xd[8])); +a[178] = ((xd[6])*(xd[6])); +a[179] = ((xd[7])*(xd[7])); +a[180] = ((xd[8])*(xd[8])); +a[181] = ((xd[6])*(xd[6])); +a[182] = ((xd[7])*(xd[7])); +a[183] = ((xd[8])*(xd[8])); +a[184] = ((xd[6])*(xd[6])); +a[185] = ((xd[7])*(xd[7])); +a[186] = ((xd[8])*(xd[8])); +a[187] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[188] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[189] = ((xd[6])*(xd[6])); +a[190] = ((xd[7])*(xd[7])); +a[191] = ((xd[8])*(xd[8])); +a[192] = ((xd[6])*(xd[6])); +a[193] = ((xd[7])*(xd[7])); +a[194] = ((xd[8])*(xd[8])); +a[195] = ((xd[6])*(xd[6])); +a[196] = ((xd[7])*(xd[7])); +a[197] = ((xd[8])*(xd[8])); +a[198] = ((xd[6])*(xd[6])); +a[199] = ((xd[7])*(xd[7])); +a[200] = ((xd[8])*(xd[8])); +a[201] = ((xd[6])*(xd[6])); +a[202] = ((xd[7])*(xd[7])); +a[203] = ((xd[8])*(xd[8])); +a[204] = ((xd[6])*(xd[6])); +a[205] = ((xd[7])*(xd[7])); +a[206] = ((xd[8])*(xd[8])); +a[207] = ((xd[6])*(xd[6])); +a[208] = ((xd[7])*(xd[7])); +a[209] = ((xd[8])*(xd[8])); +a[210] = ((xd[6])*(xd[6])); +a[211] = ((xd[7])*(xd[7])); +a[212] = ((xd[8])*(xd[8])); +a[213] = ((xd[6])*(xd[6])); +a[214] = ((xd[7])*(xd[7])); +a[215] = ((xd[8])*(xd[8])); +a[216] = ((xd[6])*(xd[6])); +a[217] = ((xd[7])*(xd[7])); +a[218] = ((xd[8])*(xd[8])); +a[219] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[220] = ((xd[6])*(xd[6])); +a[221] = ((xd[7])*(xd[7])); +a[222] = ((xd[8])*(xd[8])); +a[223] = ((xd[6])*(xd[6])); +a[224] = ((xd[7])*(xd[7])); +a[225] = ((xd[8])*(xd[8])); +a[226] = ((xd[6])*(xd[6])); +a[227] = ((xd[7])*(xd[7])); +a[228] = ((xd[8])*(xd[8])); +a[229] = ((xd[6])*(xd[6])); +a[230] = ((xd[7])*(xd[7])); +a[231] = ((xd[8])*(xd[8])); +a[232] = ((xd[6])*(xd[6])); +a[233] = ((xd[7])*(xd[7])); +a[234] = ((xd[8])*(xd[8])); +a[235] = ((xd[6])*(xd[6])); +a[236] = ((xd[7])*(xd[7])); +a[237] = ((xd[8])*(xd[8])); +a[238] = ((xd[6])*(xd[6])); +a[239] = ((xd[7])*(xd[7])); +a[240] = ((xd[8])*(xd[8])); +a[241] = ((xd[6])*(xd[6])); +a[242] = ((xd[7])*(xd[7])); +a[243] = ((xd[8])*(xd[8])); +a[244] = ((xd[6])*(xd[6])); +a[245] = ((xd[7])*(xd[7])); +a[246] = ((xd[8])*(xd[8])); +a[247] = ((xd[6])*(xd[6])); +a[248] = ((xd[7])*(xd[7])); +a[249] = ((xd[8])*(xd[8])); +a[250] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[251] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[252] = ((xd[6])*(xd[6])); +a[253] = ((xd[7])*(xd[7])); +a[254] = ((xd[8])*(xd[8])); +a[255] = ((xd[6])*(xd[6])); +a[256] = ((xd[7])*(xd[7])); +a[257] = ((xd[8])*(xd[8])); +a[258] = ((xd[6])*(xd[6])); +a[259] = ((xd[7])*(xd[7])); +a[260] = ((xd[8])*(xd[8])); +a[261] = ((xd[6])*(xd[6])); +a[262] = ((xd[7])*(xd[7])); +a[263] = ((xd[8])*(xd[8])); +a[264] = ((xd[6])*(xd[6])); +a[265] = ((xd[7])*(xd[7])); +a[266] = ((xd[8])*(xd[8])); +a[267] = ((xd[6])*(xd[6])); +a[268] = ((xd[7])*(xd[7])); +a[269] = ((xd[8])*(xd[8])); +a[270] = ((xd[6])*(xd[6])); +a[271] = ((xd[7])*(xd[7])); +a[272] = ((xd[8])*(xd[8])); +a[273] = ((xd[6])*(xd[6])); +a[274] = ((xd[7])*(xd[7])); +a[275] = ((xd[8])*(xd[8])); +a[276] = ((xd[6])*(xd[6])); +a[277] = ((xd[7])*(xd[7])); +a[278] = ((xd[8])*(xd[8])); +a[279] = ((xd[6])*(xd[6])); +a[280] = ((xd[7])*(xd[7])); +a[281] = ((xd[8])*(xd[8])); +a[282] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[283] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[284] = ((xd[6])*(xd[6])); +a[285] = ((xd[7])*(xd[7])); +a[286] = ((xd[8])*(xd[8])); +a[287] = ((xd[6])*(xd[6])); +a[288] = ((xd[7])*(xd[7])); +a[289] = ((xd[8])*(xd[8])); +a[290] = ((xd[6])*(xd[6])); +a[291] = ((xd[7])*(xd[7])); +a[292] = ((xd[8])*(xd[8])); +a[293] = ((xd[6])*(xd[6])); +a[294] = ((xd[7])*(xd[7])); +a[295] = ((xd[8])*(xd[8])); +a[296] = ((xd[6])*(xd[6])); +a[297] = ((xd[7])*(xd[7])); +a[298] = ((xd[8])*(xd[8])); +a[299] = ((xd[6])*(xd[6])); +a[300] = ((xd[7])*(xd[7])); +a[301] = ((xd[8])*(xd[8])); +a[302] = ((xd[6])*(xd[6])); +a[303] = ((xd[7])*(xd[7])); +a[304] = ((xd[8])*(xd[8])); +a[305] = ((xd[6])*(xd[6])); +a[306] = ((xd[7])*(xd[7])); +a[307] = ((xd[8])*(xd[8])); +a[308] = ((xd[6])*(xd[6])); +a[309] = ((xd[7])*(xd[7])); +a[310] = ((xd[8])*(xd[8])); +a[311] = ((xd[6])*(xd[6])); +a[312] = ((xd[7])*(xd[7])); +a[313] = ((xd[8])*(xd[8])); +a[314] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[315] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); + +/* Compute outputs: */ +out[0] = xd[3]; +out[1] = xd[4]; +out[2] = xd[5]; +out[3] = (((((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[0])+a[1])+a[2]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[3])+a[4])+a[5]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[9])+a[10])+a[11]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[12])+a[13])+a[14]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[15])+a[16])+a[17]))*((((real_t)(1.0000000000000000e+00)-a[18])-a[19])-a[20]))*(((u[0]+u[1])+u[2])+u[3])))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[21])+a[22])+a[23]))*((((real_t)(1.0000000000000000e+00)-a[24])-a[25])-a[26]))/((((real_t)(1.0000000000000000e+00)+a[27])+a[28])+a[29]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[30])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[31])+a[32])+a[33]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[34])+a[35])+a[36]))*((((real_t)(1.0000000000000000e+00)-a[37])-a[38])-a[39]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[40])+a[41])+a[42]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[43])+a[44])+a[45]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[46])+a[47])+a[48]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[49])+a[50])+a[51]))*((((real_t)(1.0000000000000000e+00)-a[52])-a[53])-a[54]))*(((u[0]+u[1])+u[2])+u[3])))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[55])+a[56])+a[57]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[61]))*a[62])+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[66])+a[67])+a[68]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[69])+a[70])+a[71]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[72])+a[73])+a[74]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[75])+a[76])+a[77]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[78])+a[79])+a[80]))*((((real_t)(1.0000000000000000e+00)-a[81])-a[82])-a[83]))*(((u[0]+u[1])+u[2])+u[3])))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[84])+a[85])+a[86]))*((((real_t)(1.0000000000000000e+00)-a[87])-a[88])-a[89]))/((((real_t)(1.0000000000000000e+00)+a[90])+a[91])+a[92]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[93])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[94])+a[95])+a[96]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[97])+a[98])+a[99]))*((((real_t)(1.0000000000000000e+00)-a[100])-a[101])-a[102]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[103])+a[104])+a[105]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[106])+a[107])+a[108]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[109])+a[110])+a[111]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[112])+a[113])+a[114]))*((((real_t)(1.0000000000000000e+00)-a[115])-a[116])-a[117]))*(((u[0]+u[1])+u[2])+u[3])))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[118])+a[119])+a[120]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[124]))*((real_t)(0.0000000000000000e+00)-a[125])))/od[0])+od[8]); +out[4] = ((((((real_t)(0.0000000000000000e+00)-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[126])+a[127])+a[128]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[129])+a[130])+a[131]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[132])+a[133])+a[134]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[135])+a[136])+a[137]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[138])+a[139])+a[140]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[141])+a[142])+a[143]))*((((real_t)(1.0000000000000000e+00)-a[144])-a[145])-a[146]))*(((u[0]+u[1])+u[2])+u[3])))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[147])+a[148])+a[149]))*((((real_t)(1.0000000000000000e+00)-a[150])-a[151])-a[152]))/((((real_t)(1.0000000000000000e+00)+a[153])+a[154])+a[155]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[156])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[157])+a[158])+a[159]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[160])+a[161])+a[162]))*((((real_t)(1.0000000000000000e+00)-a[163])-a[164])-a[165]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[166])+a[167])+a[168]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[169])+a[170])+a[171]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[172])+a[173])+a[174]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[175])+a[176])+a[177]))*((((real_t)(1.0000000000000000e+00)-a[178])-a[179])-a[180]))*(((u[0]+u[1])+u[2])+u[3])))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[181])+a[182])+a[183]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[184])+a[185])+a[186]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[187])))*((real_t)(0.0000000000000000e+00)-a[188]))+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[192])+a[193])+a[194]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[195])+a[196])+a[197]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[198])+a[199])+a[200]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[204])+a[205])+a[206]))*((((real_t)(1.0000000000000000e+00)-a[207])-a[208])-a[209]))*(((u[0]+u[1])+u[2])+u[3])))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[210])+a[211])+a[212]))*((((real_t)(1.0000000000000000e+00)-a[213])-a[214])-a[215]))/((((real_t)(1.0000000000000000e+00)+a[216])+a[217])+a[218]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[219])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[220])+a[221])+a[222]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[223])+a[224])+a[225]))*((((real_t)(1.0000000000000000e+00)-a[226])-a[227])-a[228]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[229])+a[230])+a[231]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[232])+a[233])+a[234]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[235])+a[236])+a[237]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[238])+a[239])+a[240]))*((((real_t)(1.0000000000000000e+00)-a[241])-a[242])-a[243]))*(((u[0]+u[1])+u[2])+u[3])))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[244])+a[245])+a[246]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[247])+a[248])+a[249]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[250]))*a[251]))/od[0])+od[9]); +out[5] = (((((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[252])+a[253])+a[254]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[255])+a[256])+a[257]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[258])+a[259])+a[260]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[261])+a[262])+a[263]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[264])+a[265])+a[266]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[267])+a[268])+a[269]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[270])+a[271])+a[272]))*((((real_t)(1.0000000000000000e+00)-a[273])-a[274])-a[275]))/((((real_t)(1.0000000000000000e+00)+a[276])+a[277])+a[278]))*((((real_t)(1.0000000000000000e+00)-a[279])-a[280])-a[281]))*(((u[0]+u[1])+u[2])+u[3])))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0])))*a[282])*((real_t)(0.0000000000000000e+00)-a[283]))+((((((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[284])+a[285])+a[286]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[287])+a[288])+a[289]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[290])+a[291])+a[292]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[293])+a[294])+a[295]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[296])+a[297])+a[298]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[299])+a[300])+a[301]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[302])+a[303])+a[304]))*((((real_t)(1.0000000000000000e+00)-a[305])-a[306])-a[307]))/((((real_t)(1.0000000000000000e+00)+a[308])+a[309])+a[310]))*((((real_t)(1.0000000000000000e+00)-a[311])-a[312])-a[313]))*(((u[0]+u[1])+u[2])+u[3])))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))*a[314])*a[315]))/od[0])+od[10]); +out[6] = ((((((((real_t)(0.0000000000000000e+00)-xd[8])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[7]))*(real_t)(2.5000000000000000e-01))*xd[10])+(((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[6]))*(real_t)(2.5000000000000000e-01))*xd[9]))+((((((real_t)(2.0000000000000000e+00)*xd[6])*xd[8])+((real_t)(2.0000000000000000e+00)*xd[7]))*(real_t)(2.5000000000000000e-01))*xd[11])); +out[7] = ((((((((real_t)(0.0000000000000000e+00)-xd[6])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[11])+(((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[7]))*(real_t)(2.5000000000000000e-01))*xd[10]))+((((((real_t)(2.0000000000000000e+00)*xd[6])*xd[7])+((real_t)(2.0000000000000000e+00)*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[9])); +out[8] = ((((((((real_t)(0.0000000000000000e+00)-xd[7])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[9])+(((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[8])*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[11]))+(((((real_t)(2.0000000000000000e+00)*xd[6])+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[10])); +out[9] = (((((u[1]-u[3])*od[5])-((xd[10]*xd[11])*od[3]))+((xd[10]*od[2])*xd[11]))/od[1]); +out[10] = ((((((((real_t)(0.0000000000000000e+00)-u[0])+u[2])*od[5])+(((od[6]+xd[9])*xd[11])*od[3]))-(((od[6]+xd[9])*od[1])*xd[11]))/od[2])+(od[6]*xd[11])); +out[11] = ((((((((real_t)(0.0000000000000000e+00)-(od[6]+xd[9]))*xd[10])*od[2])+(((od[6]+xd[9])*od[1])*xd[10]))+((((u[0]-u[1])+u[2])-u[3])*od[4]))/od[3])-(od[6]*xd[10])); +} + + + +void acado_diffs(const real_t* in, real_t* out) +{ +const real_t* xd = in; +const real_t* u = in + 12; +const real_t* od = in + 16; +/* Vector of auxiliary variables; number of elements: 792. */ +real_t* a = auxVar; + +/* Compute intermediate quantities: */ +a[0] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[1] = ((xd[6])*(xd[6])); +a[2] = ((xd[7])*(xd[7])); +a[3] = ((xd[8])*(xd[8])); +a[4] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3])); +a[5] = (a[4]*a[4]); +a[6] = ((xd[6])*(xd[6])); +a[7] = ((xd[7])*(xd[7])); +a[8] = ((xd[8])*(xd[8])); +a[9] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[10] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8])); +a[11] = (a[10]*a[10]); +a[12] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[13] = ((xd[6])*(xd[6])); +a[14] = ((xd[7])*(xd[7])); +a[15] = ((xd[8])*(xd[8])); +a[16] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15])); +a[17] = (a[16]*a[16]); +a[18] = ((xd[6])*(xd[6])); +a[19] = ((xd[7])*(xd[7])); +a[20] = ((xd[8])*(xd[8])); +a[21] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[22] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20])); +a[23] = (a[22]*a[22]); +a[24] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[25] = ((xd[6])*(xd[6])); +a[26] = ((xd[7])*(xd[7])); +a[27] = ((xd[8])*(xd[8])); +a[28] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27])); +a[29] = (a[28]*a[28]); +a[30] = ((xd[6])*(xd[6])); +a[31] = ((xd[7])*(xd[7])); +a[32] = ((xd[8])*(xd[8])); +a[33] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32])); +a[34] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[35] = (a[33]*a[33]); +a[36] = ((xd[6])*(xd[6])); +a[37] = ((xd[7])*(xd[7])); +a[38] = ((xd[8])*(xd[8])); +a[39] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[40] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[41] = ((xd[6])*(xd[6])); +a[42] = ((xd[7])*(xd[7])); +a[43] = ((xd[8])*(xd[8])); +a[44] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43])); +a[45] = (a[44]*a[44]); +a[46] = ((xd[6])*(xd[6])); +a[47] = ((xd[7])*(xd[7])); +a[48] = ((xd[8])*(xd[8])); +a[49] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[50] = ((xd[6])*(xd[6])); +a[51] = ((xd[7])*(xd[7])); +a[52] = ((xd[8])*(xd[8])); +a[53] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52])); +a[54] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[55] = (a[53]*a[53]); +a[56] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[57] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[58] = ((xd[6])*(xd[6])); +a[59] = ((xd[7])*(xd[7])); +a[60] = ((xd[8])*(xd[8])); +a[61] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60])); +a[62] = (a[61]*a[61]); +a[63] = ((xd[6])*(xd[6])); +a[64] = ((xd[7])*(xd[7])); +a[65] = ((xd[8])*(xd[8])); +a[66] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65])); +a[67] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[68] = (a[66]*a[66]); +a[69] = ((xd[6])*(xd[6])); +a[70] = ((xd[7])*(xd[7])); +a[71] = ((xd[8])*(xd[8])); +a[72] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[73] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[74] = ((xd[6])*(xd[6])); +a[75] = ((xd[7])*(xd[7])); +a[76] = ((xd[8])*(xd[8])); +a[77] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76])); +a[78] = (a[77]*a[77]); +a[79] = ((xd[6])*(xd[6])); +a[80] = ((xd[7])*(xd[7])); +a[81] = ((xd[8])*(xd[8])); +a[82] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[83] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81])); +a[84] = (a[83]*a[83]); +a[85] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[86] = ((xd[6])*(xd[6])); +a[87] = ((xd[7])*(xd[7])); +a[88] = ((xd[8])*(xd[8])); +a[89] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88])); +a[90] = (a[89]*a[89]); +a[91] = ((xd[6])*(xd[6])); +a[92] = ((xd[7])*(xd[7])); +a[93] = ((xd[8])*(xd[8])); +a[94] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93])); +a[95] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[96] = (a[94]*a[94]); +a[97] = ((xd[6])*(xd[6])); +a[98] = ((xd[7])*(xd[7])); +a[99] = ((xd[8])*(xd[8])); +a[100] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[101] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[102] = ((xd[6])*(xd[6])); +a[103] = ((xd[7])*(xd[7])); +a[104] = ((xd[8])*(xd[8])); +a[105] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104])); +a[106] = (a[105]*a[105]); +a[107] = ((xd[6])*(xd[6])); +a[108] = ((xd[7])*(xd[7])); +a[109] = ((xd[8])*(xd[8])); +a[110] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109])); +a[111] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[112] = (a[110]*a[110]); +a[113] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[114] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[115] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[116] = ((xd[6])*(xd[6])); +a[117] = ((xd[7])*(xd[7])); +a[118] = ((xd[8])*(xd[8])); +a[119] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118])); +a[120] = (a[119]*a[119]); +a[121] = ((xd[6])*(xd[6])); +a[122] = ((xd[7])*(xd[7])); +a[123] = ((xd[8])*(xd[8])); +a[124] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[125] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123])); +a[126] = (a[125]*a[125]); +a[127] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[128] = ((xd[6])*(xd[6])); +a[129] = ((xd[7])*(xd[7])); +a[130] = ((xd[8])*(xd[8])); +a[131] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130])); +a[132] = (a[131]*a[131]); +a[133] = ((xd[6])*(xd[6])); +a[134] = ((xd[7])*(xd[7])); +a[135] = ((xd[8])*(xd[8])); +a[136] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[137] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135])); +a[138] = (a[137]*a[137]); +a[139] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[140] = ((xd[6])*(xd[6])); +a[141] = ((xd[7])*(xd[7])); +a[142] = ((xd[8])*(xd[8])); +a[143] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142])); +a[144] = (a[143]*a[143]); +a[145] = ((xd[6])*(xd[6])); +a[146] = ((xd[7])*(xd[7])); +a[147] = ((xd[8])*(xd[8])); +a[148] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147])); +a[149] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[150] = (a[148]*a[148]); +a[151] = ((xd[6])*(xd[6])); +a[152] = ((xd[7])*(xd[7])); +a[153] = ((xd[8])*(xd[8])); +a[154] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[155] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[156] = ((xd[6])*(xd[6])); +a[157] = ((xd[7])*(xd[7])); +a[158] = ((xd[8])*(xd[8])); +a[159] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158])); +a[160] = (a[159]*a[159]); +a[161] = ((xd[6])*(xd[6])); +a[162] = ((xd[7])*(xd[7])); +a[163] = ((xd[8])*(xd[8])); +a[164] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[165] = ((xd[6])*(xd[6])); +a[166] = ((xd[7])*(xd[7])); +a[167] = ((xd[8])*(xd[8])); +a[168] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167])); +a[169] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[170] = (a[168]*a[168]); +a[171] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[172] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[173] = ((xd[6])*(xd[6])); +a[174] = ((xd[7])*(xd[7])); +a[175] = ((xd[8])*(xd[8])); +a[176] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175])); +a[177] = (a[176]*a[176]); +a[178] = ((xd[6])*(xd[6])); +a[179] = ((xd[7])*(xd[7])); +a[180] = ((xd[8])*(xd[8])); +a[181] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[178])+a[179])+a[180])); +a[182] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[183] = (a[181]*a[181]); +a[184] = ((xd[6])*(xd[6])); +a[185] = ((xd[7])*(xd[7])); +a[186] = ((xd[8])*(xd[8])); +a[187] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[188] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[189] = ((xd[6])*(xd[6])); +a[190] = ((xd[7])*(xd[7])); +a[191] = ((xd[8])*(xd[8])); +a[192] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191])); +a[193] = (a[192]*a[192]); +a[194] = ((xd[6])*(xd[6])); +a[195] = ((xd[7])*(xd[7])); +a[196] = ((xd[8])*(xd[8])); +a[197] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[198] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196])); +a[199] = (a[198]*a[198]); +a[200] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[201] = ((xd[6])*(xd[6])); +a[202] = ((xd[7])*(xd[7])); +a[203] = ((xd[8])*(xd[8])); +a[204] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203])); +a[205] = (a[204]*a[204]); +a[206] = ((xd[6])*(xd[6])); +a[207] = ((xd[7])*(xd[7])); +a[208] = ((xd[8])*(xd[8])); +a[209] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208])); +a[210] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[211] = (a[209]*a[209]); +a[212] = ((xd[6])*(xd[6])); +a[213] = ((xd[7])*(xd[7])); +a[214] = ((xd[8])*(xd[8])); +a[215] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[216] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[217] = ((xd[6])*(xd[6])); +a[218] = ((xd[7])*(xd[7])); +a[219] = ((xd[8])*(xd[8])); +a[220] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219])); +a[221] = (a[220]*a[220]); +a[222] = ((xd[6])*(xd[6])); +a[223] = ((xd[7])*(xd[7])); +a[224] = ((xd[8])*(xd[8])); +a[225] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224])); +a[226] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[227] = (a[225]*a[225]); +a[228] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[229] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[230] = ((real_t)(1.0000000000000000e+00)/od[0]); +a[231] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[232] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[233] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[234] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[235] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[236] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[237] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[238] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[239] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[240] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[241] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[242] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[243] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[244] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[245] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[246] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[247] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[248] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[249] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[250] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[251] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[252] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[253] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[254] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[255] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[256] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[257] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[258] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[259] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[260] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[261] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[262] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[263] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[264] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[265] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[266] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[267] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[268] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[269] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[270] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[271] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[272] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[273] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[274] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[275] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[276] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[277] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[278] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[279] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[280] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[281] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[282] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[283] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[284] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[285] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[286] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[287] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[288] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[289] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[290] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[291] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[292] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[293] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[294] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[295] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[296] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[297] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[298] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[299] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[300] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[301] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[302] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[303] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[304] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[305] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[306] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[307] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[308] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[309] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[310] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[311] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65])); +a[312] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[178])+a[179])+a[180])); +a[313] = ((real_t)(1.0000000000000000e+00)/od[0]); +a[314] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[315] = ((xd[6])*(xd[6])); +a[316] = ((xd[7])*(xd[7])); +a[317] = ((xd[8])*(xd[8])); +a[318] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317])); +a[319] = (a[318]*a[318]); +a[320] = ((xd[6])*(xd[6])); +a[321] = ((xd[7])*(xd[7])); +a[322] = ((xd[8])*(xd[8])); +a[323] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[324] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322])); +a[325] = (a[324]*a[324]); +a[326] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[327] = ((xd[6])*(xd[6])); +a[328] = ((xd[7])*(xd[7])); +a[329] = ((xd[8])*(xd[8])); +a[330] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329])); +a[331] = (a[330]*a[330]); +a[332] = ((xd[6])*(xd[6])); +a[333] = ((xd[7])*(xd[7])); +a[334] = ((xd[8])*(xd[8])); +a[335] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[336] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334])); +a[337] = (a[336]*a[336]); +a[338] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[339] = ((xd[6])*(xd[6])); +a[340] = ((xd[7])*(xd[7])); +a[341] = ((xd[8])*(xd[8])); +a[342] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341])); +a[343] = (a[342]*a[342]); +a[344] = ((xd[6])*(xd[6])); +a[345] = ((xd[7])*(xd[7])); +a[346] = ((xd[8])*(xd[8])); +a[347] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346])); +a[348] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[349] = (a[347]*a[347]); +a[350] = ((xd[6])*(xd[6])); +a[351] = ((xd[7])*(xd[7])); +a[352] = ((xd[8])*(xd[8])); +a[353] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[354] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[355] = ((xd[6])*(xd[6])); +a[356] = ((xd[7])*(xd[7])); +a[357] = ((xd[8])*(xd[8])); +a[358] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357])); +a[359] = (a[358]*a[358]); +a[360] = ((xd[6])*(xd[6])); +a[361] = ((xd[7])*(xd[7])); +a[362] = ((xd[8])*(xd[8])); +a[363] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[364] = ((xd[6])*(xd[6])); +a[365] = ((xd[7])*(xd[7])); +a[366] = ((xd[8])*(xd[8])); +a[367] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366])); +a[368] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[369] = (a[367]*a[367]); +a[370] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[371] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[372] = ((xd[6])*(xd[6])); +a[373] = ((xd[7])*(xd[7])); +a[374] = ((xd[8])*(xd[8])); +a[375] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374])); +a[376] = (a[375]*a[375]); +a[377] = ((xd[6])*(xd[6])); +a[378] = ((xd[7])*(xd[7])); +a[379] = ((xd[8])*(xd[8])); +a[380] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[377])+a[378])+a[379])); +a[381] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[382] = (a[380]*a[380]); +a[383] = ((xd[6])*(xd[6])); +a[384] = ((xd[7])*(xd[7])); +a[385] = ((xd[8])*(xd[8])); +a[386] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[387] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[388] = ((xd[6])*(xd[6])); +a[389] = ((xd[7])*(xd[7])); +a[390] = ((xd[8])*(xd[8])); +a[391] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390])); +a[392] = (a[391]*a[391]); +a[393] = ((xd[6])*(xd[6])); +a[394] = ((xd[7])*(xd[7])); +a[395] = ((xd[8])*(xd[8])); +a[396] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[397] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395])); +a[398] = (a[397]*a[397]); +a[399] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[400] = ((xd[6])*(xd[6])); +a[401] = ((xd[7])*(xd[7])); +a[402] = ((xd[8])*(xd[8])); +a[403] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402])); +a[404] = (a[403]*a[403]); +a[405] = ((xd[6])*(xd[6])); +a[406] = ((xd[7])*(xd[7])); +a[407] = ((xd[8])*(xd[8])); +a[408] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407])); +a[409] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[410] = (a[408]*a[408]); +a[411] = ((xd[6])*(xd[6])); +a[412] = ((xd[7])*(xd[7])); +a[413] = ((xd[8])*(xd[8])); +a[414] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[415] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[416] = ((xd[6])*(xd[6])); +a[417] = ((xd[7])*(xd[7])); +a[418] = ((xd[8])*(xd[8])); +a[419] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418])); +a[420] = (a[419]*a[419]); +a[421] = ((xd[6])*(xd[6])); +a[422] = ((xd[7])*(xd[7])); +a[423] = ((xd[8])*(xd[8])); +a[424] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423])); +a[425] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[426] = (a[424]*a[424]); +a[427] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[428] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[429] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[430] = ((xd[6])*(xd[6])); +a[431] = ((xd[7])*(xd[7])); +a[432] = ((xd[8])*(xd[8])); +a[433] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432])); +a[434] = (a[433]*a[433]); +a[435] = ((xd[6])*(xd[6])); +a[436] = ((xd[7])*(xd[7])); +a[437] = ((xd[8])*(xd[8])); +a[438] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[439] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437])); +a[440] = (a[439]*a[439]); +a[441] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[442] = ((xd[6])*(xd[6])); +a[443] = ((xd[7])*(xd[7])); +a[444] = ((xd[8])*(xd[8])); +a[445] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444])); +a[446] = (a[445]*a[445]); +a[447] = ((xd[6])*(xd[6])); +a[448] = ((xd[7])*(xd[7])); +a[449] = ((xd[8])*(xd[8])); +a[450] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[451] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449])); +a[452] = (a[451]*a[451]); +a[453] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[454] = ((xd[6])*(xd[6])); +a[455] = ((xd[7])*(xd[7])); +a[456] = ((xd[8])*(xd[8])); +a[457] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456])); +a[458] = (a[457]*a[457]); +a[459] = ((xd[6])*(xd[6])); +a[460] = ((xd[7])*(xd[7])); +a[461] = ((xd[8])*(xd[8])); +a[462] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461])); +a[463] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[464] = (a[462]*a[462]); +a[465] = ((xd[6])*(xd[6])); +a[466] = ((xd[7])*(xd[7])); +a[467] = ((xd[8])*(xd[8])); +a[468] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[469] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[470] = ((xd[6])*(xd[6])); +a[471] = ((xd[7])*(xd[7])); +a[472] = ((xd[8])*(xd[8])); +a[473] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472])); +a[474] = (a[473]*a[473]); +a[475] = ((xd[6])*(xd[6])); +a[476] = ((xd[7])*(xd[7])); +a[477] = ((xd[8])*(xd[8])); +a[478] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[479] = ((xd[6])*(xd[6])); +a[480] = ((xd[7])*(xd[7])); +a[481] = ((xd[8])*(xd[8])); +a[482] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481])); +a[483] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[484] = (a[482]*a[482]); +a[485] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[486] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[487] = ((xd[6])*(xd[6])); +a[488] = ((xd[7])*(xd[7])); +a[489] = ((xd[8])*(xd[8])); +a[490] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489])); +a[491] = (a[490]*a[490]); +a[492] = ((xd[6])*(xd[6])); +a[493] = ((xd[7])*(xd[7])); +a[494] = ((xd[8])*(xd[8])); +a[495] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[492])+a[493])+a[494])); +a[496] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[497] = (a[495]*a[495]); +a[498] = ((xd[6])*(xd[6])); +a[499] = ((xd[7])*(xd[7])); +a[500] = ((xd[8])*(xd[8])); +a[501] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[502] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[503] = ((xd[6])*(xd[6])); +a[504] = ((xd[7])*(xd[7])); +a[505] = ((xd[8])*(xd[8])); +a[506] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505])); +a[507] = (a[506]*a[506]); +a[508] = ((xd[6])*(xd[6])); +a[509] = ((xd[7])*(xd[7])); +a[510] = ((xd[8])*(xd[8])); +a[511] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[512] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510])); +a[513] = (a[512]*a[512]); +a[514] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[515] = ((xd[6])*(xd[6])); +a[516] = ((xd[7])*(xd[7])); +a[517] = ((xd[8])*(xd[8])); +a[518] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517])); +a[519] = (a[518]*a[518]); +a[520] = ((xd[6])*(xd[6])); +a[521] = ((xd[7])*(xd[7])); +a[522] = ((xd[8])*(xd[8])); +a[523] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522])); +a[524] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[525] = (a[523]*a[523]); +a[526] = ((xd[6])*(xd[6])); +a[527] = ((xd[7])*(xd[7])); +a[528] = ((xd[8])*(xd[8])); +a[529] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[530] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[531] = ((xd[6])*(xd[6])); +a[532] = ((xd[7])*(xd[7])); +a[533] = ((xd[8])*(xd[8])); +a[534] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533])); +a[535] = (a[534]*a[534]); +a[536] = ((xd[6])*(xd[6])); +a[537] = ((xd[7])*(xd[7])); +a[538] = ((xd[8])*(xd[8])); +a[539] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538])); +a[540] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[541] = (a[539]*a[539]); +a[542] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[543] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[544] = ((real_t)(1.0000000000000000e+00)/od[0]); +a[545] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[546] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[547] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[548] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[549] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[550] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[551] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[552] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[553] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[554] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[555] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[556] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[557] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[558] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[559] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[560] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[561] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[562] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[563] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[564] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[565] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[566] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[567] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[568] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[569] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[570] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[571] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[572] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[573] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[574] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[575] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[576] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[577] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[578] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[579] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[580] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[581] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[582] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[583] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[584] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[585] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[586] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[587] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[588] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[589] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[590] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[591] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[592] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[593] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[594] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[595] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[596] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[597] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[598] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[599] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[600] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[601] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[602] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[603] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[604] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[605] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[606] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[607] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[608] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[609] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[610] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[611] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[612] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[613] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[614] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[615] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[616] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[617] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[618] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[619] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[620] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[621] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[622] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[623] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[624] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[625] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[377])+a[378])+a[379])); +a[626] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[492])+a[493])+a[494])); +a[627] = ((real_t)(1.0000000000000000e+00)/od[0]); +a[628] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[629] = ((xd[6])*(xd[6])); +a[630] = ((xd[7])*(xd[7])); +a[631] = ((xd[8])*(xd[8])); +a[632] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631])); +a[633] = (a[632]*a[632]); +a[634] = ((xd[6])*(xd[6])); +a[635] = ((xd[7])*(xd[7])); +a[636] = ((xd[8])*(xd[8])); +a[637] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[638] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636])); +a[639] = (a[638]*a[638]); +a[640] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[641] = ((xd[6])*(xd[6])); +a[642] = ((xd[7])*(xd[7])); +a[643] = ((xd[8])*(xd[8])); +a[644] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643])); +a[645] = (a[644]*a[644]); +a[646] = ((xd[6])*(xd[6])); +a[647] = ((xd[7])*(xd[7])); +a[648] = ((xd[8])*(xd[8])); +a[649] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[650] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648])); +a[651] = (a[650]*a[650]); +a[652] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[653] = ((xd[6])*(xd[6])); +a[654] = ((xd[7])*(xd[7])); +a[655] = ((xd[8])*(xd[8])); +a[656] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655])); +a[657] = (a[656]*a[656]); +a[658] = ((xd[6])*(xd[6])); +a[659] = ((xd[7])*(xd[7])); +a[660] = ((xd[8])*(xd[8])); +a[661] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660])); +a[662] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[663] = (a[661]*a[661]); +a[664] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[665] = ((xd[6])*(xd[6])); +a[666] = ((xd[7])*(xd[7])); +a[667] = ((xd[8])*(xd[8])); +a[668] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667])); +a[669] = (a[668]*a[668]); +a[670] = ((xd[6])*(xd[6])); +a[671] = ((xd[7])*(xd[7])); +a[672] = ((xd[8])*(xd[8])); +a[673] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[674] = ((xd[6])*(xd[6])); +a[675] = ((xd[7])*(xd[7])); +a[676] = ((xd[8])*(xd[8])); +a[677] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676])); +a[678] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[679] = (a[677]*a[677]); +a[680] = ((xd[6])*(xd[6])); +a[681] = ((xd[7])*(xd[7])); +a[682] = ((xd[8])*(xd[8])); +a[683] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[684] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[685] = (sin(((real_t)(5.0000000000000000e-01)*od[7]))); +a[686] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[687] = ((xd[6])*(xd[6])); +a[688] = ((xd[7])*(xd[7])); +a[689] = ((xd[8])*(xd[8])); +a[690] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689])); +a[691] = (a[690]*a[690]); +a[692] = ((xd[6])*(xd[6])); +a[693] = ((xd[7])*(xd[7])); +a[694] = ((xd[8])*(xd[8])); +a[695] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[696] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694])); +a[697] = (a[696]*a[696]); +a[698] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[699] = ((xd[6])*(xd[6])); +a[700] = ((xd[7])*(xd[7])); +a[701] = ((xd[8])*(xd[8])); +a[702] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701])); +a[703] = (a[702]*a[702]); +a[704] = ((xd[6])*(xd[6])); +a[705] = ((xd[7])*(xd[7])); +a[706] = ((xd[8])*(xd[8])); +a[707] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[708] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706])); +a[709] = (a[708]*a[708]); +a[710] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[711] = ((xd[6])*(xd[6])); +a[712] = ((xd[7])*(xd[7])); +a[713] = ((xd[8])*(xd[8])); +a[714] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713])); +a[715] = (a[714]*a[714]); +a[716] = ((xd[6])*(xd[6])); +a[717] = ((xd[7])*(xd[7])); +a[718] = ((xd[8])*(xd[8])); +a[719] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718])); +a[720] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[721] = (a[719]*a[719]); +a[722] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[723] = ((xd[6])*(xd[6])); +a[724] = ((xd[7])*(xd[7])); +a[725] = ((xd[8])*(xd[8])); +a[726] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725])); +a[727] = (a[726]*a[726]); +a[728] = ((xd[6])*(xd[6])); +a[729] = ((xd[7])*(xd[7])); +a[730] = ((xd[8])*(xd[8])); +a[731] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[732] = ((xd[6])*(xd[6])); +a[733] = ((xd[7])*(xd[7])); +a[734] = ((xd[8])*(xd[8])); +a[735] = ((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734])); +a[736] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[737] = (a[735]*a[735]); +a[738] = ((xd[6])*(xd[6])); +a[739] = ((xd[7])*(xd[7])); +a[740] = ((xd[8])*(xd[8])); +a[741] = ((real_t)(2.0000000000000000e+00)*xd[6]); +a[742] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[743] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); +a[744] = ((real_t)(1.0000000000000000e+00)/od[0]); +a[745] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[746] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[747] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[748] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[749] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[750] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[751] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[752] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[753] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[754] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[755] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[756] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[757] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[758] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[759] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[760] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[761] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[762] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[763] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[764] = ((real_t)(2.0000000000000000e+00)*xd[7]); +a[765] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[766] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[767] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[768] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[769] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[770] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[771] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[772] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[773] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[774] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[775] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[776] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[777] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[778] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[779] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[780] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[781] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[782] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[783] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[784] = ((real_t)(2.0000000000000000e+00)*xd[8]); +a[785] = ((real_t)(1.0000000000000000e+00)/od[0]); +a[786] = ((real_t)(1.0000000000000000e+00)/od[1]); +a[787] = ((real_t)(1.0000000000000000e+00)/od[1]); +a[788] = ((real_t)(1.0000000000000000e+00)/od[2]); +a[789] = ((real_t)(1.0000000000000000e+00)/od[2]); +a[790] = ((real_t)(1.0000000000000000e+00)/od[3]); +a[791] = ((real_t)(1.0000000000000000e+00)/od[3]); + +/* Compute outputs: */ +out[0] = (real_t)(0.0000000000000000e+00); +out[1] = (real_t)(0.0000000000000000e+00); +out[2] = (real_t)(0.0000000000000000e+00); +out[3] = (real_t)(1.0000000000000000e+00); +out[4] = (real_t)(0.0000000000000000e+00); +out[5] = (real_t)(0.0000000000000000e+00); +out[6] = (real_t)(0.0000000000000000e+00); +out[7] = (real_t)(0.0000000000000000e+00); +out[8] = (real_t)(0.0000000000000000e+00); +out[9] = (real_t)(0.0000000000000000e+00); +out[10] = (real_t)(0.0000000000000000e+00); +out[11] = (real_t)(0.0000000000000000e+00); +out[12] = (real_t)(0.0000000000000000e+00); +out[13] = (real_t)(0.0000000000000000e+00); +out[14] = (real_t)(0.0000000000000000e+00); +out[15] = (real_t)(0.0000000000000000e+00); +out[16] = (real_t)(0.0000000000000000e+00); +out[17] = (real_t)(0.0000000000000000e+00); +out[18] = (real_t)(0.0000000000000000e+00); +out[19] = (real_t)(0.0000000000000000e+00); +out[20] = (real_t)(1.0000000000000000e+00); +out[21] = (real_t)(0.0000000000000000e+00); +out[22] = (real_t)(0.0000000000000000e+00); +out[23] = (real_t)(0.0000000000000000e+00); +out[24] = (real_t)(0.0000000000000000e+00); +out[25] = (real_t)(0.0000000000000000e+00); +out[26] = (real_t)(0.0000000000000000e+00); +out[27] = (real_t)(0.0000000000000000e+00); +out[28] = (real_t)(0.0000000000000000e+00); +out[29] = (real_t)(0.0000000000000000e+00); +out[30] = (real_t)(0.0000000000000000e+00); +out[31] = (real_t)(0.0000000000000000e+00); +out[32] = (real_t)(0.0000000000000000e+00); +out[33] = (real_t)(0.0000000000000000e+00); +out[34] = (real_t)(0.0000000000000000e+00); +out[35] = (real_t)(0.0000000000000000e+00); +out[36] = (real_t)(0.0000000000000000e+00); +out[37] = (real_t)(1.0000000000000000e+00); +out[38] = (real_t)(0.0000000000000000e+00); +out[39] = (real_t)(0.0000000000000000e+00); +out[40] = (real_t)(0.0000000000000000e+00); +out[41] = (real_t)(0.0000000000000000e+00); +out[42] = (real_t)(0.0000000000000000e+00); +out[43] = (real_t)(0.0000000000000000e+00); +out[44] = (real_t)(0.0000000000000000e+00); +out[45] = (real_t)(0.0000000000000000e+00); +out[46] = (real_t)(0.0000000000000000e+00); +out[47] = (real_t)(0.0000000000000000e+00); +out[48] = (real_t)(0.0000000000000000e+00); +out[49] = (real_t)(0.0000000000000000e+00); +out[50] = (real_t)(0.0000000000000000e+00); +out[51] = (real_t)(0.0000000000000000e+00); +out[52] = (real_t)(0.0000000000000000e+00); +out[53] = (real_t)(0.0000000000000000e+00); +out[54] = ((((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[0])*a[5]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[9])*a[11]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[12])*a[17]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[21])*a[23]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[24])*a[29]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[33])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[34])*a[35]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((real_t)(0.0000000000000000e+00)-a[39])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[40]*a[45]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((real_t)(0.0000000000000000e+00)-a[49])))*a[53])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))*a[54])*a[55]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[57])*a[62]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*a[66])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[67])*a[68]))*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65]))*((real_t)(0.0000000000000000e+00)-a[72])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[73])*a[78]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[82])*a[84]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[85])*a[90]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00)))*a[94])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[95])*a[96]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((real_t)(0.0000000000000000e+00)-a[100])))*(((u[0]+u[1])+u[2])+u[3])))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[101])*a[106]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[110])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[111])*a[112]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[115])*a[120]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[124])*a[126]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[127])*a[132]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[136])*a[138]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[139])*a[144]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[148])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[149])*a[150]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((real_t)(0.0000000000000000e+00)-a[154])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[155]*a[160]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((real_t)(0.0000000000000000e+00)-a[164])))*a[168])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))*a[169])*a[170]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[172])*a[177]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*a[181])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[182])*a[183]))*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[178])+a[179])+a[180]))*((real_t)(0.0000000000000000e+00)-a[187])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[188])*a[193]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[197])*a[199]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[200])*a[205]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00)))*a[209])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[210])*a[211]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((real_t)(0.0000000000000000e+00)-a[215])))*(((u[0]+u[1])+u[2])+u[3])))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[216])*a[221]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[225])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[226])*a[227]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[230]); +out[55] = (((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[231])*a[5]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[232])*a[11]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[233])*a[17]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[234])*a[23]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[235])*a[29]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00)))*a[33])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[236])*a[35]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((real_t)(0.0000000000000000e+00)-a[237])))*(((u[0]+u[1])+u[2])+u[3])))+((((((((((real_t)(0.0000000000000000e+00)-(a[238]*a[45]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((real_t)(0.0000000000000000e+00)-a[239])))*a[53])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))*a[240])*a[55]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7])+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))*a[56])-(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[241])*a[62]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[66])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[242])*a[68]))*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65]))*((real_t)(0.0000000000000000e+00)-a[243])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[244])*a[78]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[245])*a[84]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[246])*a[90]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[94])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[247])*a[96]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((real_t)(0.0000000000000000e+00)-a[248])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[249])*a[106]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[110])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.00000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0)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((real_t)(0.0000000000000000e+00)-a[268])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[269])*a[221]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[225])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[270])*a[227]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[230]); +out[56] = (((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[271])*a[5]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[272])*a[11]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00)))))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[273])*a[17]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[274])*a[23]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[275])*a[29]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[33])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[276])*a[35]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((real_t)(0.0000000000000000e+00)-a[277])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[278]*a[45]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((real_t)(0.0000000000000000e+00)-a[279])))*a[53])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))*a[280])*a[55]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[281])*a[62]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[66])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[282])*a[68]))*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65]))*((real_t)(0.0000000000000000e+00)-a[283])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[284])*a[78]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[285])*a[84]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[286])*a[90]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[94])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[287])*a[96]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((real_t)(0.0000000000000000e+00)-a[288])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[289])*a[106]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00)))*a[110])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[290])*a[112]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[291])*a[120]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[292])*a[126]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00)))))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[293])*a[132]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[294])*a[138]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[295])*a[144]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[148])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[296])*a[150]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((real_t)(0.0000000000000000e+00)-a[297])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[298]*a[160]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((real_t)(0.0000000000000000e+00)-a[299])))*a[168])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))*a[300])*a[170]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[301])*a[177]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[181])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[302])*a[183]))*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[178])+a[179])+a[180]))*((real_t)(0.0000000000000000e+00)-a[303])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[304])*a[193]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[305])*a[199]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[306])*a[205]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[209])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[307])*a[211]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((real_t)(0.0000000000000000e+00)-a[308])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[309])*a[221]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00)))*a[225])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[310])*a[227]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[230]); +out[57] = (real_t)(0.0000000000000000e+00); +out[58] = (real_t)(0.0000000000000000e+00); +out[59] = (real_t)(0.0000000000000000e+00); +out[60] = (((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[61] = (((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[62] = (((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[63] = (((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[64] = (real_t)(0.0000000000000000e+00); +out[65] = (real_t)(0.0000000000000000e+00); +out[66] = (real_t)(0.0000000000000000e+00); +out[67] = (real_t)(0.0000000000000000e+00); +out[68] = (real_t)(0.0000000000000000e+00); +out[69] = (real_t)(0.0000000000000000e+00); +out[70] = (((((real_t)(0.0000000000000000e+00)-(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[314])*a[319]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[323])*a[325]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[326])*a[331]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[335])*a[337]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[338])*a[343]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[347])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[348])*a[349]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((real_t)(0.0000000000000000e+00)-a[353])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[354]*a[359]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((real_t)(0.0000000000000000e+00)-a[363])))*a[367])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))*a[368])*a[369]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[371])*a[376]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*a[380])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[381])*a[382]))*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[377])+a[378])+a[379]))*((real_t)(0.0000000000000000e+00)-a[386])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[387])*a[392]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[396])*a[398]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[399])*a[404]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00)))*a[408])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[409])*a[410]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((real_t)(0.0000000000000000e+00)-a[414])))*(((u[0]+u[1])+u[2])+u[3])))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[415])*a[420]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[424])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[425])*a[426]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[429])*a[434]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[438])*a[440]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[441])*a[446]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[450])*a[452]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[453])*a[458]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[462])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[463])*a[464]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((real_t)(0.0000000000000000e+00)-a[468])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[469]*a[474]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((real_t)(0.0000000000000000e+00)-a[478])))*a[482])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))*a[483])*a[484]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[486])*a[491]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*a[495])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[496])*a[497]))*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[492])+a[493])+a[494]))*((real_t)(0.0000000000000000e+00)-a[501])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[502])*a[507]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[511])*a[513]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[514])*a[519]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00)))*a[523])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[524])*a[525]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((real_t)(0.0000000000000000e+00)-a[529])))*(((u[0]+u[1])+u[2])+u[3])))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[530])*a[535]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[539])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[540])*a[541]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[544]); +out[71] = (((((real_t)(0.0000000000000000e+00)-((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[545])*a[319]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[546])*a[325]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[547])*a[331]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[548])*a[337]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[549])*a[343]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00)))*a[347])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[550])*a[349]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((real_t)(0.0000000000000000e+00)-a[551])))*(((u[0]+u[1])+u[2])+u[3])))+((((((((((real_t)(0.0000000000000000e+00)-(a[552]*a[359]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((real_t)(0.0000000000000000e+00)-a[553])))*a[367])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))*a[554])*a[369]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7])+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))*a[370])-(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[555])*a[376]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[380])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[556])*a[382]))*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[377])+a[378])+a[379]))*((real_t)(0.0000000000000000e+00)-a[557])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[558])*a[392]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[559])*a[398]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[560])*a[404]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[408])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[561])*a[410]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((real_t)(0.0000000000000000e+00)-a[562])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[563])*a[420]))*(real_t)(2.0000000000000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+out[72] = (((((real_t)(0.0000000000000000e+00)-((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[585])*a[319]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[586])*a[325]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00)))))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[587])*a[331]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[588])*a[337]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[589])*a[343]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[347])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[590])*a[349]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((real_t)(0.0000000000000000e+00)-a[591])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[592]*a[359]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((real_t)(0.0000000000000000e+00)-a[593])))*a[367])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))*a[594])*a[369]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[595])*a[376]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[380])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[596])*a[382]))*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[377])+a[378])+a[379]))*((real_t)(0.0000000000000000e+00)-a[597])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[598])*a[392]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[599])*a[398]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[600])*a[404]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[408])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[601])*a[410]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((real_t)(0.0000000000000000e+00)-a[602])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[603])*a[420]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00)))*a[424])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[604])*a[426]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[605])*a[434]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[606])*a[440]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00)))))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[607])*a[446]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[608])*a[452]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[609])*a[458]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[462])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[610])*a[464]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((real_t)(0.0000000000000000e+00)-a[611])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[612]*a[474]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((real_t)(0.0000000000000000e+00)-a[613])))*a[482])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))*a[614])*a[484]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[615])*a[491]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[495])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[616])*a[497]))*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[492])+a[493])+a[494]))*((real_t)(0.0000000000000000e+00)-a[617])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[618])*a[507]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[619])*a[513]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[620])*a[519]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[523])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[621])*a[525]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((real_t)(0.0000000000000000e+00)-a[622])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[623])*a[535]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00)))*a[539])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[624])*a[541]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[544]); +out[73] = (real_t)(0.0000000000000000e+00); +out[74] = (real_t)(0.0000000000000000e+00); +out[75] = (real_t)(0.0000000000000000e+00); +out[76] = (((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); +out[77] = (((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); +out[78] = (((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); +out[79] = (((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); +out[80] = (real_t)(0.0000000000000000e+00); +out[81] = (real_t)(0.0000000000000000e+00); +out[82] = (real_t)(0.0000000000000000e+00); +out[83] = (real_t)(0.0000000000000000e+00); +out[84] = (real_t)(0.0000000000000000e+00); +out[85] = (real_t)(0.0000000000000000e+00); +out[86] = ((((((real_t)(0.0000000000000000e+00)-(((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[628])*a[633]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[637])*a[639]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00)))))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[640])*a[645]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[649])*a[651]))*(real_t)(2.0000000000000000e+00))*xd[8]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[652])*a[657]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[661])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[662])*a[663]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((((((real_t)(0.0000000000000000e+00)-(a[664]*a[669]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((real_t)(0.0000000000000000e+00)-a[673])))*a[677])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))*a[678])*a[679]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((real_t)(0.0000000000000000e+00)-a[683])))*(((u[0]+u[1])+u[2])+u[3]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+(((((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[686])*a[691]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[695])*a[697]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00)))))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[698])*a[703]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[707])*a[709]))*(real_t)(2.0000000000000000e+00))*xd[8]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[710])*a[715]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[719])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[720])*a[721]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((((((real_t)(0.0000000000000000e+00)-(a[722]*a[727]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((real_t)(0.0000000000000000e+00)-a[731])))*a[735])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))*a[736])*a[737]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((real_t)(0.0000000000000000e+00)-a[741])))*(((u[0]+u[1])+u[2])+u[3])))*a[742])*a[743]))*a[744]); +out[87] = ((((((real_t)(0.0000000000000000e+00)-(((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[745])*a[633]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[746])*a[639]))*(real_t)(2.0000000000000000e+00))*xd[6])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[747])*a[645]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[748])*a[651]))*(real_t)(2.0000000000000000e+00))*xd[8]))))+(((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[749])*a[657]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00)))*a[661])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[750])*a[663]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))+(((((((((real_t)(0.0000000000000000e+00)-(a[751]*a[669]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((real_t)(0.0000000000000000e+00)-a[752])))*a[677])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))*a[753])*a[679]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((real_t)(0.0000000000000000e+00)-a[754])))*(((u[0]+u[1])+u[2])+u[3]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+(((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[755])*a[691]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[756])*a[697]))*(real_t)(2.0000000000000000e+00))*xd[6])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[757])*a[703]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[758])*a[709]))*(real_t)(2.0000000000000000e+00))*xd[8]))))+(((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[759])*a[715]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00)))*a[719])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[760])*a[721]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))+(((((((((real_t)(0.0000000000000000e+00)-(a[761]*a[727]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((real_t)(0.0000000000000000e+00)-a[762])))*a[735])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))*a[763])*a[737]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((real_t)(0.0000000000000000e+00)-a[764])))*(((u[0]+u[1])+u[2])+u[3])))*a[742])*a[743]))*a[744]); +out[88] = ((((((real_t)(0.0000000000000000e+00)-(((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[765])*a[633]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[766])*a[639]))*(real_t)(2.0000000000000000e+00))*xd[6])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[767])*a[645]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[768])*a[651]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[769])*a[657]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[661])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[770])*a[663]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((((((real_t)(0.0000000000000000e+00)-(a[771]*a[669]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((real_t)(0.0000000000000000e+00)-a[772])))*a[677])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))*a[773])*a[679]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((real_t)(0.0000000000000000e+00)-a[774])))*(((u[0]+u[1])+u[2])+u[3]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+(((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[775])*a[691]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[776])*a[697]))*(real_t)(2.0000000000000000e+00))*xd[6])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[777])*a[703]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[778])*a[709]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[779])*a[715]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[719])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[780])*a[721]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((((((real_t)(0.0000000000000000e+00)-(a[781]*a[727]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((real_t)(0.0000000000000000e+00)-a[782])))*a[735])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))*a[783])*a[737]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((real_t)(0.0000000000000000e+00)-a[784])))*(((u[0]+u[1])+u[2])+u[3])))*a[742])*a[743]))*a[744]); +out[89] = (real_t)(0.0000000000000000e+00); +out[90] = (real_t)(0.0000000000000000e+00); +out[91] = (real_t)(0.0000000000000000e+00); +out[92] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740])))*a[742])*a[743]))*a[785]); +out[93] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740])))*a[742])*a[743]))*a[785]); +out[94] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740])))*a[742])*a[743]))*a[785]); +out[95] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740])))*a[742])*a[743]))*a[785]); +out[96] = (real_t)(0.0000000000000000e+00); +out[97] = (real_t)(0.0000000000000000e+00); +out[98] = (real_t)(0.0000000000000000e+00); +out[99] = (real_t)(0.0000000000000000e+00); +out[100] = (real_t)(0.0000000000000000e+00); +out[101] = (real_t)(0.0000000000000000e+00); +out[102] = ((((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[10])+(((((real_t)(0.0000000000000000e+00)-(xd[6]+xd[6]))+(((real_t)(2.0000000000000000e+00)*xd[6])+((real_t)(2.0000000000000000e+00)*xd[6])))*(real_t)(2.5000000000000000e-01))*xd[9]))+((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[11])); +out[103] = ((((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[10])+((((real_t)(0.0000000000000000e+00)-(xd[7]+xd[7]))*(real_t)(2.5000000000000000e-01))*xd[9]))+(((real_t)(5.0000000000000000e-01))*xd[11])); +out[104] = (((((real_t)(-5.0000000000000000e-01))*xd[10])+((((real_t)(0.0000000000000000e+00)-(xd[8]+xd[8]))*(real_t)(2.5000000000000000e-01))*xd[9]))+((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[11])); +out[105] = ((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[6]))*(real_t)(2.5000000000000000e-01)); +out[106] = (((((real_t)(0.0000000000000000e+00)-xd[8])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[7]))*(real_t)(2.5000000000000000e-01)); +out[107] = (((((real_t)(2.0000000000000000e+00)*xd[6])*xd[8])+((real_t)(2.0000000000000000e+00)*xd[7]))*(real_t)(2.5000000000000000e-01)); +out[108] = (real_t)(0.0000000000000000e+00); +out[109] = (real_t)(0.0000000000000000e+00); +out[110] = (real_t)(0.0000000000000000e+00); +out[111] = (real_t)(0.0000000000000000e+00); +out[112] = (real_t)(0.0000000000000000e+00); +out[113] = (real_t)(0.0000000000000000e+00); +out[114] = (real_t)(0.0000000000000000e+00); +out[115] = (real_t)(0.0000000000000000e+00); +out[116] = (real_t)(0.0000000000000000e+00); +out[117] = (real_t)(0.0000000000000000e+00); +out[118] = (((((real_t)(-5.0000000000000000e-01))*xd[11])+((((real_t)(0.0000000000000000e+00)-(xd[6]+xd[6]))*(real_t)(2.5000000000000000e-01))*xd[10]))+((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[9])); +out[119] = ((((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[11])+(((((real_t)(0.0000000000000000e+00)-(xd[7]+xd[7]))+(((real_t)(2.0000000000000000e+00)*xd[7])+((real_t)(2.0000000000000000e+00)*xd[7])))*(real_t)(2.5000000000000000e-01))*xd[10]))+((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[9])); +out[120] = ((((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[11])+((((real_t)(0.0000000000000000e+00)-(xd[8]+xd[8]))*(real_t)(2.5000000000000000e-01))*xd[10]))+(((real_t)(5.0000000000000000e-01))*xd[9])); +out[121] = (((((real_t)(2.0000000000000000e+00)*xd[6])*xd[7])+((real_t)(2.0000000000000000e+00)*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[122] = ((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[7]))*(real_t)(2.5000000000000000e-01)); +out[123] = (((((real_t)(0.0000000000000000e+00)-xd[6])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[124] = (real_t)(0.0000000000000000e+00); +out[125] = (real_t)(0.0000000000000000e+00); +out[126] = (real_t)(0.0000000000000000e+00); +out[127] = (real_t)(0.0000000000000000e+00); +out[128] = (real_t)(0.0000000000000000e+00); +out[129] = (real_t)(0.0000000000000000e+00); +out[130] = (real_t)(0.0000000000000000e+00); +out[131] = (real_t)(0.0000000000000000e+00); +out[132] = (real_t)(0.0000000000000000e+00); +out[133] = (real_t)(0.0000000000000000e+00); +out[134] = ((((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[9])+((((real_t)(0.0000000000000000e+00)-(xd[6]+xd[6]))*(real_t)(2.5000000000000000e-01))*xd[11]))+(((real_t)(5.0000000000000000e-01))*xd[10])); +out[135] = (((((real_t)(-5.0000000000000000e-01))*xd[9])+((((real_t)(0.0000000000000000e+00)-(xd[7]+xd[7]))*(real_t)(2.5000000000000000e-01))*xd[11]))+((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[10])); +out[136] = ((((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[9])+(((((real_t)(0.0000000000000000e+00)-(xd[8]+xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[8])+((real_t)(2.0000000000000000e+00)*xd[8])))*(real_t)(2.5000000000000000e-01))*xd[11]))+((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[10])); +out[137] = (((((real_t)(0.0000000000000000e+00)-xd[7])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[138] = ((((real_t)(2.0000000000000000e+00)*xd[6])+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[139] = ((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[8])*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[140] = (real_t)(0.0000000000000000e+00); +out[141] = (real_t)(0.0000000000000000e+00); +out[142] = (real_t)(0.0000000000000000e+00); +out[143] = (real_t)(0.0000000000000000e+00); +out[144] = (real_t)(0.0000000000000000e+00); +out[145] = (real_t)(0.0000000000000000e+00); +out[146] = (real_t)(0.0000000000000000e+00); +out[147] = (real_t)(0.0000000000000000e+00); +out[148] = (real_t)(0.0000000000000000e+00); +out[149] = (real_t)(0.0000000000000000e+00); +out[150] = (real_t)(0.0000000000000000e+00); +out[151] = (real_t)(0.0000000000000000e+00); +out[152] = (real_t)(0.0000000000000000e+00); +out[153] = (real_t)(0.0000000000000000e+00); +out[154] = ((((real_t)(0.0000000000000000e+00)-(xd[11]*od[3]))+(od[2]*xd[11]))*a[786]); +out[155] = ((((real_t)(0.0000000000000000e+00)-(xd[10]*od[3]))+(xd[10]*od[2]))*a[786]); +out[156] = (real_t)(0.0000000000000000e+00); +out[157] = (od[5]*a[787]); +out[158] = (real_t)(0.0000000000000000e+00); +out[159] = ((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*od[5])*a[787]); +out[160] = (real_t)(0.0000000000000000e+00); +out[161] = (real_t)(0.0000000000000000e+00); +out[162] = (real_t)(0.0000000000000000e+00); +out[163] = (real_t)(0.0000000000000000e+00); +out[164] = (real_t)(0.0000000000000000e+00); +out[165] = (real_t)(0.0000000000000000e+00); +out[166] = (real_t)(0.0000000000000000e+00); +out[167] = (real_t)(0.0000000000000000e+00); +out[168] = (real_t)(0.0000000000000000e+00); +out[169] = (((xd[11]*od[3])-(od[1]*xd[11]))*a[788]); +out[170] = (real_t)(0.0000000000000000e+00); +out[171] = (((((od[6]+xd[9])*od[3])-((od[6]+xd[9])*od[1]))*a[788])+od[6]); +out[172] = ((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*od[5])*a[789]); +out[173] = (real_t)(0.0000000000000000e+00); +out[174] = (od[5]*a[789]); +out[175] = (real_t)(0.0000000000000000e+00); +out[176] = (real_t)(0.0000000000000000e+00); +out[177] = (real_t)(0.0000000000000000e+00); +out[178] = (real_t)(0.0000000000000000e+00); +out[179] = (real_t)(0.0000000000000000e+00); +out[180] = (real_t)(0.0000000000000000e+00); +out[181] = (real_t)(0.0000000000000000e+00); +out[182] = (real_t)(0.0000000000000000e+00); +out[183] = (real_t)(0.0000000000000000e+00); +out[184] = (real_t)(0.0000000000000000e+00); +out[185] = ((((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*xd[10])*od[2])+(od[1]*xd[10]))*a[790]); +out[186] = ((((((real_t)(0.0000000000000000e+00)-(od[6]+xd[9]))*od[2])+((od[6]+xd[9])*od[1]))*a[790])-od[6]); +out[187] = (real_t)(0.0000000000000000e+00); +out[188] = (od[4]*a[791]); +out[189] = ((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*od[4])*a[791]); +out[190] = (od[4]*a[791]); +out[191] = ((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*od[4])*a[791]); +} + + + +void acado_solve_dim24_triangular( real_t* const A, real_t* const b ) +{ + +b[23] = b[23]/A[575]; +b[22] -= + A[551]*b[23]; +b[22] = b[22]/A[550]; +b[21] -= + A[527]*b[23]; +b[21] -= + A[526]*b[22]; +b[21] = b[21]/A[525]; +b[20] -= + A[503]*b[23]; +b[20] -= + A[502]*b[22]; +b[20] -= + A[501]*b[21]; +b[20] = b[20]/A[500]; +b[19] -= + A[479]*b[23]; +b[19] -= + A[478]*b[22]; +b[19] -= + A[477]*b[21]; +b[19] -= + A[476]*b[20]; +b[19] = b[19]/A[475]; +b[18] -= + A[455]*b[23]; +b[18] -= + A[454]*b[22]; +b[18] -= + A[453]*b[21]; +b[18] -= + A[452]*b[20]; +b[18] -= + A[451]*b[19]; +b[18] = b[18]/A[450]; +b[17] -= + A[431]*b[23]; +b[17] -= + A[430]*b[22]; +b[17] -= + A[429]*b[21]; +b[17] -= + A[428]*b[20]; +b[17] -= + A[427]*b[19]; +b[17] -= + A[426]*b[18]; +b[17] = b[17]/A[425]; +b[16] -= + A[407]*b[23]; +b[16] -= + A[406]*b[22]; +b[16] -= + A[405]*b[21]; +b[16] -= + A[404]*b[20]; +b[16] -= + A[403]*b[19]; +b[16] -= + A[402]*b[18]; +b[16] -= + A[401]*b[17]; +b[16] = b[16]/A[400]; +b[15] -= + A[383]*b[23]; +b[15] -= + A[382]*b[22]; +b[15] -= + A[381]*b[21]; +b[15] -= + A[380]*b[20]; +b[15] -= + A[379]*b[19]; +b[15] -= + A[378]*b[18]; +b[15] -= + A[377]*b[17]; +b[15] -= + A[376]*b[16]; +b[15] = b[15]/A[375]; +b[14] -= + A[359]*b[23]; +b[14] -= + A[358]*b[22]; +b[14] -= + A[357]*b[21]; +b[14] -= + A[356]*b[20]; +b[14] -= + A[355]*b[19]; +b[14] -= + A[354]*b[18]; +b[14] -= + A[353]*b[17]; +b[14] -= + A[352]*b[16]; +b[14] -= + A[351]*b[15]; +b[14] = b[14]/A[350]; +b[13] -= + A[335]*b[23]; +b[13] -= + A[334]*b[22]; +b[13] -= + A[333]*b[21]; +b[13] -= + A[332]*b[20]; +b[13] -= + A[331]*b[19]; +b[13] -= + A[330]*b[18]; +b[13] -= + A[329]*b[17]; +b[13] -= + A[328]*b[16]; +b[13] -= + A[327]*b[15]; +b[13] -= + A[326]*b[14]; +b[13] = b[13]/A[325]; +b[12] -= + A[311]*b[23]; +b[12] -= + A[310]*b[22]; +b[12] -= + A[309]*b[21]; +b[12] -= + A[308]*b[20]; +b[12] -= + A[307]*b[19]; +b[12] -= + A[306]*b[18]; +b[12] -= + A[305]*b[17]; +b[12] -= + A[304]*b[16]; +b[12] -= + A[303]*b[15]; +b[12] -= + A[302]*b[14]; +b[12] -= + A[301]*b[13]; +b[12] = b[12]/A[300]; +b[11] -= + A[287]*b[23]; +b[11] -= + A[286]*b[22]; +b[11] -= + A[285]*b[21]; +b[11] -= + A[284]*b[20]; +b[11] -= + A[283]*b[19]; +b[11] -= + A[282]*b[18]; +b[11] -= + A[281]*b[17]; +b[11] -= + A[280]*b[16]; +b[11] -= + A[279]*b[15]; +b[11] -= + A[278]*b[14]; +b[11] -= + A[277]*b[13]; +b[11] -= + A[276]*b[12]; +b[11] = b[11]/A[275]; +b[10] -= + A[263]*b[23]; +b[10] -= + A[262]*b[22]; +b[10] -= + A[261]*b[21]; +b[10] -= + A[260]*b[20]; +b[10] -= + A[259]*b[19]; +b[10] -= + A[258]*b[18]; +b[10] -= + A[257]*b[17]; +b[10] -= + A[256]*b[16]; +b[10] -= + A[255]*b[15]; +b[10] -= + A[254]*b[14]; +b[10] -= + A[253]*b[13]; +b[10] -= + A[252]*b[12]; +b[10] -= + A[251]*b[11]; +b[10] = b[10]/A[250]; +b[9] -= + A[239]*b[23]; +b[9] -= + A[238]*b[22]; +b[9] -= + A[237]*b[21]; +b[9] -= + A[236]*b[20]; +b[9] -= + A[235]*b[19]; +b[9] -= + A[234]*b[18]; +b[9] -= + A[233]*b[17]; +b[9] -= + A[232]*b[16]; +b[9] -= + A[231]*b[15]; +b[9] -= + A[230]*b[14]; +b[9] -= + A[229]*b[13]; +b[9] -= + A[228]*b[12]; +b[9] -= + A[227]*b[11]; +b[9] -= + A[226]*b[10]; +b[9] = b[9]/A[225]; +b[8] -= + A[215]*b[23]; +b[8] -= + A[214]*b[22]; +b[8] -= + A[213]*b[21]; +b[8] -= + A[212]*b[20]; +b[8] -= + A[211]*b[19]; +b[8] -= + A[210]*b[18]; +b[8] -= + A[209]*b[17]; +b[8] -= + A[208]*b[16]; +b[8] -= + A[207]*b[15]; +b[8] -= + A[206]*b[14]; +b[8] -= + A[205]*b[13]; +b[8] -= + A[204]*b[12]; +b[8] -= + A[203]*b[11]; +b[8] -= + A[202]*b[10]; +b[8] -= + A[201]*b[9]; +b[8] = b[8]/A[200]; +b[7] -= + A[191]*b[23]; +b[7] -= + A[190]*b[22]; +b[7] -= + A[189]*b[21]; +b[7] -= + A[188]*b[20]; +b[7] -= + A[187]*b[19]; +b[7] -= + A[186]*b[18]; +b[7] -= + A[185]*b[17]; +b[7] -= + A[184]*b[16]; +b[7] -= + A[183]*b[15]; +b[7] -= + A[182]*b[14]; +b[7] -= + A[181]*b[13]; +b[7] -= + A[180]*b[12]; +b[7] -= + A[179]*b[11]; +b[7] -= + A[178]*b[10]; +b[7] -= + A[177]*b[9]; +b[7] -= + A[176]*b[8]; +b[7] = b[7]/A[175]; +b[6] -= + A[167]*b[23]; +b[6] -= + A[166]*b[22]; +b[6] -= + A[165]*b[21]; +b[6] -= + A[164]*b[20]; +b[6] -= + A[163]*b[19]; +b[6] -= + A[162]*b[18]; +b[6] -= + A[161]*b[17]; +b[6] -= + A[160]*b[16]; +b[6] -= + A[159]*b[15]; +b[6] -= + A[158]*b[14]; +b[6] -= + A[157]*b[13]; +b[6] -= + A[156]*b[12]; +b[6] -= + A[155]*b[11]; +b[6] -= + A[154]*b[10]; +b[6] -= + A[153]*b[9]; +b[6] -= + A[152]*b[8]; +b[6] -= + A[151]*b[7]; +b[6] = b[6]/A[150]; +b[5] -= + A[143]*b[23]; +b[5] -= + A[142]*b[22]; +b[5] -= + A[141]*b[21]; +b[5] -= + A[140]*b[20]; +b[5] -= + A[139]*b[19]; +b[5] -= + A[138]*b[18]; +b[5] -= + A[137]*b[17]; +b[5] -= + A[136]*b[16]; +b[5] -= + A[135]*b[15]; +b[5] -= + A[134]*b[14]; +b[5] -= + A[133]*b[13]; +b[5] -= + A[132]*b[12]; +b[5] -= + A[131]*b[11]; +b[5] -= + A[130]*b[10]; +b[5] -= + A[129]*b[9]; +b[5] -= + A[128]*b[8]; +b[5] -= + A[127]*b[7]; +b[5] -= + A[126]*b[6]; +b[5] = b[5]/A[125]; +b[4] -= + A[119]*b[23]; +b[4] -= + A[118]*b[22]; +b[4] -= + A[117]*b[21]; +b[4] -= + A[116]*b[20]; +b[4] -= + A[115]*b[19]; +b[4] -= + A[114]*b[18]; +b[4] -= + A[113]*b[17]; +b[4] -= + A[112]*b[16]; +b[4] -= + A[111]*b[15]; +b[4] -= + A[110]*b[14]; +b[4] -= + A[109]*b[13]; +b[4] -= + A[108]*b[12]; +b[4] -= + A[107]*b[11]; +b[4] -= + A[106]*b[10]; +b[4] -= + A[105]*b[9]; +b[4] -= + A[104]*b[8]; +b[4] -= + A[103]*b[7]; +b[4] -= + A[102]*b[6]; +b[4] -= + A[101]*b[5]; +b[4] = b[4]/A[100]; +b[3] -= + A[95]*b[23]; +b[3] -= + A[94]*b[22]; +b[3] -= + A[93]*b[21]; +b[3] -= + A[92]*b[20]; +b[3] -= + A[91]*b[19]; +b[3] -= + A[90]*b[18]; +b[3] -= + A[89]*b[17]; +b[3] -= + A[88]*b[16]; +b[3] -= + A[87]*b[15]; +b[3] -= + A[86]*b[14]; +b[3] -= + A[85]*b[13]; +b[3] -= + A[84]*b[12]; +b[3] -= + A[83]*b[11]; +b[3] -= + A[82]*b[10]; +b[3] -= + A[81]*b[9]; +b[3] -= + A[80]*b[8]; +b[3] -= + A[79]*b[7]; +b[3] -= + A[78]*b[6]; +b[3] -= + A[77]*b[5]; +b[3] -= + A[76]*b[4]; +b[3] = b[3]/A[75]; +b[2] -= + A[71]*b[23]; +b[2] -= + A[70]*b[22]; +b[2] -= + A[69]*b[21]; +b[2] -= + A[68]*b[20]; +b[2] -= + A[67]*b[19]; +b[2] -= + A[66]*b[18]; +b[2] -= + A[65]*b[17]; +b[2] -= + A[64]*b[16]; +b[2] -= + A[63]*b[15]; +b[2] -= + A[62]*b[14]; +b[2] -= + A[61]*b[13]; +b[2] -= + A[60]*b[12]; +b[2] -= + A[59]*b[11]; +b[2] -= + A[58]*b[10]; +b[2] -= + A[57]*b[9]; +b[2] -= + A[56]*b[8]; +b[2] -= + A[55]*b[7]; +b[2] -= + A[54]*b[6]; +b[2] -= + A[53]*b[5]; +b[2] -= + A[52]*b[4]; +b[2] -= + A[51]*b[3]; +b[2] = b[2]/A[50]; +b[1] -= + A[47]*b[23]; +b[1] -= + A[46]*b[22]; +b[1] -= + A[45]*b[21]; +b[1] -= + A[44]*b[20]; +b[1] -= + A[43]*b[19]; +b[1] -= + A[42]*b[18]; +b[1] -= + A[41]*b[17]; +b[1] -= + A[40]*b[16]; +b[1] -= + A[39]*b[15]; +b[1] -= + A[38]*b[14]; +b[1] -= + A[37]*b[13]; +b[1] -= + A[36]*b[12]; +b[1] -= + A[35]*b[11]; +b[1] -= + A[34]*b[10]; +b[1] -= + A[33]*b[9]; +b[1] -= + A[32]*b[8]; +b[1] -= + A[31]*b[7]; +b[1] -= + A[30]*b[6]; +b[1] -= + A[29]*b[5]; +b[1] -= + A[28]*b[4]; +b[1] -= + A[27]*b[3]; +b[1] -= + A[26]*b[2]; +b[1] = b[1]/A[25]; +b[0] -= + A[23]*b[23]; +b[0] -= + A[22]*b[22]; +b[0] -= + A[21]*b[21]; +b[0] -= + A[20]*b[20]; +b[0] -= + A[19]*b[19]; +b[0] -= + A[18]*b[18]; +b[0] -= + A[17]*b[17]; +b[0] -= + A[16]*b[16]; +b[0] -= + A[15]*b[15]; +b[0] -= + A[14]*b[14]; +b[0] -= + A[13]*b[13]; +b[0] -= + A[12]*b[12]; +b[0] -= + A[11]*b[11]; +b[0] -= + A[10]*b[10]; +b[0] -= + A[9]*b[9]; +b[0] -= + A[8]*b[8]; +b[0] -= + A[7]*b[7]; +b[0] -= + A[6]*b[6]; +b[0] -= + A[5]*b[5]; +b[0] -= + A[4]*b[4]; +b[0] -= + A[3]*b[3]; +b[0] -= + A[2]*b[2]; +b[0] -= + A[1]*b[1]; +b[0] = b[0]/A[0]; +} + +real_t acado_solve_dim24_system( real_t* const A, real_t* const b, int* const rk_perm ) +{ +real_t det; + +int i; +int j; +int k; + +int indexMax; + +int intSwap; + +real_t valueMax; + +real_t temp; + +for (i = 0; i < 24; ++i) +{ +rk_perm[i] = i; +} +det = 1.0000000000000000e+00; +for( i=0; i < (23); i++ ) { + indexMax = i; + valueMax = fabs(A[i*24+i]); + for( j=(i+1); j < 24; j++ ) { + temp = fabs(A[j*24+i]); + if( temp > valueMax ) { + indexMax = j; + valueMax = temp; + } + } + if( indexMax > i ) { +for (k = 0; k < 24; ++k) +{ + rk_dim24_swap = A[i*24+k]; + A[i*24+k] = A[indexMax*24+k]; + A[indexMax*24+k] = rk_dim24_swap; +} + rk_dim24_swap = b[i]; + b[i] = b[indexMax]; + b[indexMax] = rk_dim24_swap; + intSwap = rk_perm[i]; + rk_perm[i] = rk_perm[indexMax]; + rk_perm[indexMax] = intSwap; + } + det *= A[i*24+i]; + for( j=i+1; j < 24; j++ ) { + A[j*24+i] = -A[j*24+i]/A[i*24+i]; + for( k=i+1; k < 24; k++ ) { + A[j*24+k] += A[j*24+i] * A[i*24+k]; + } + b[j] += A[j*24+i] * b[i]; + } +} +det *= A[575]; +det = fabs(det); +acado_solve_dim24_triangular( A, b ); +return det; +} + +void acado_solve_dim24_system_reuse( real_t* const A, real_t* const b, int* const rk_perm ) +{ + +rk_dim24_bPerm[0] = b[rk_perm[0]]; +rk_dim24_bPerm[1] = b[rk_perm[1]]; +rk_dim24_bPerm[2] = b[rk_perm[2]]; +rk_dim24_bPerm[3] = b[rk_perm[3]]; +rk_dim24_bPerm[4] = b[rk_perm[4]]; +rk_dim24_bPerm[5] = b[rk_perm[5]]; +rk_dim24_bPerm[6] = b[rk_perm[6]]; +rk_dim24_bPerm[7] = b[rk_perm[7]]; +rk_dim24_bPerm[8] = b[rk_perm[8]]; +rk_dim24_bPerm[9] = b[rk_perm[9]]; +rk_dim24_bPerm[10] = b[rk_perm[10]]; +rk_dim24_bPerm[11] = b[rk_perm[11]]; +rk_dim24_bPerm[12] = b[rk_perm[12]]; +rk_dim24_bPerm[13] = b[rk_perm[13]]; +rk_dim24_bPerm[14] = b[rk_perm[14]]; +rk_dim24_bPerm[15] = b[rk_perm[15]]; +rk_dim24_bPerm[16] = b[rk_perm[16]]; +rk_dim24_bPerm[17] = b[rk_perm[17]]; +rk_dim24_bPerm[18] = b[rk_perm[18]]; +rk_dim24_bPerm[19] = b[rk_perm[19]]; +rk_dim24_bPerm[20] = b[rk_perm[20]]; +rk_dim24_bPerm[21] = b[rk_perm[21]]; +rk_dim24_bPerm[22] = b[rk_perm[22]]; +rk_dim24_bPerm[23] = b[rk_perm[23]]; +rk_dim24_bPerm[1] += A[24]*rk_dim24_bPerm[0]; + +rk_dim24_bPerm[2] += A[48]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[2] += A[49]*rk_dim24_bPerm[1]; + +rk_dim24_bPerm[3] += A[72]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[3] += A[73]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[3] += A[74]*rk_dim24_bPerm[2]; + +rk_dim24_bPerm[4] += A[96]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[4] += A[97]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[4] += A[98]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[4] += A[99]*rk_dim24_bPerm[3]; + +rk_dim24_bPerm[5] += A[120]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[5] += A[121]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[5] += A[122]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[5] += A[123]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[5] += A[124]*rk_dim24_bPerm[4]; + +rk_dim24_bPerm[6] += A[144]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[6] += A[145]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[6] += A[146]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[6] += A[147]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[6] += A[148]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[6] += A[149]*rk_dim24_bPerm[5]; + +rk_dim24_bPerm[7] += A[168]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[7] += A[169]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[7] += A[170]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[7] += A[171]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[7] += A[172]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[7] += A[173]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[7] += A[174]*rk_dim24_bPerm[6]; + +rk_dim24_bPerm[8] += A[192]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[8] += A[193]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[8] += A[194]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[8] += A[195]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[8] += A[196]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[8] += A[197]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[8] += A[198]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[8] += A[199]*rk_dim24_bPerm[7]; + +rk_dim24_bPerm[9] += A[216]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[9] += A[217]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[9] += A[218]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[9] += A[219]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[9] += A[220]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[9] += A[221]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[9] += A[222]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[9] += A[223]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[9] += A[224]*rk_dim24_bPerm[8]; + +rk_dim24_bPerm[10] += A[240]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[10] += A[241]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[10] += A[242]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[10] += A[243]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[10] += A[244]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[10] += A[245]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[10] += A[246]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[10] += A[247]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[10] += A[248]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[10] += A[249]*rk_dim24_bPerm[9]; + +rk_dim24_bPerm[11] += A[264]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[11] += A[265]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[11] += A[266]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[11] += A[267]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[11] += A[268]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[11] += A[269]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[11] += A[270]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[11] += A[271]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[11] += A[272]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[11] += A[273]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[11] += A[274]*rk_dim24_bPerm[10]; + +rk_dim24_bPerm[12] += A[288]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[12] += A[289]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[12] += A[290]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[12] += A[291]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[12] += A[292]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[12] += A[293]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[12] += A[294]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[12] += A[295]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[12] += A[296]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[12] += A[297]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[12] += A[298]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[12] += A[299]*rk_dim24_bPerm[11]; + +rk_dim24_bPerm[13] += A[312]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[13] += A[313]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[13] += A[314]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[13] += A[315]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[13] += A[316]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[13] += A[317]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[13] += A[318]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[13] += A[319]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[13] += A[320]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[13] += A[321]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[13] += A[322]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[13] += A[323]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[13] += A[324]*rk_dim24_bPerm[12]; + +rk_dim24_bPerm[14] += A[336]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[14] += A[337]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[14] += A[338]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[14] += A[339]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[14] += A[340]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[14] += A[341]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[14] += A[342]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[14] += A[343]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[14] += A[344]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[14] += A[345]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[14] += A[346]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[14] += A[347]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[14] += A[348]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[14] += A[349]*rk_dim24_bPerm[13]; + +rk_dim24_bPerm[15] += A[360]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[15] += A[361]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[15] += A[362]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[15] += A[363]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[15] += A[364]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[15] += A[365]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[15] += A[366]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[15] += A[367]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[15] += A[368]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[15] += A[369]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[15] += A[370]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[15] += A[371]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[15] += A[372]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[15] += A[373]*rk_dim24_bPerm[13]; +rk_dim24_bPerm[15] += A[374]*rk_dim24_bPerm[14]; + +rk_dim24_bPerm[16] += A[384]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[16] += A[385]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[16] += A[386]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[16] += A[387]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[16] += A[388]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[16] += A[389]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[16] += A[390]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[16] += A[391]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[16] += A[392]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[16] += A[393]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[16] += A[394]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[16] += A[395]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[16] += A[396]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[16] += A[397]*rk_dim24_bPerm[13]; +rk_dim24_bPerm[16] += A[398]*rk_dim24_bPerm[14]; +rk_dim24_bPerm[16] += A[399]*rk_dim24_bPerm[15]; + +rk_dim24_bPerm[17] += A[408]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[17] += A[409]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[17] += A[410]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[17] += A[411]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[17] += A[412]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[17] += A[413]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[17] += A[414]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[17] += A[415]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[17] += A[416]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[17] += A[417]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[17] += A[418]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[17] += A[419]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[17] += A[420]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[17] += A[421]*rk_dim24_bPerm[13]; +rk_dim24_bPerm[17] += A[422]*rk_dim24_bPerm[14]; +rk_dim24_bPerm[17] += A[423]*rk_dim24_bPerm[15]; +rk_dim24_bPerm[17] += A[424]*rk_dim24_bPerm[16]; + +rk_dim24_bPerm[18] += A[432]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[18] += A[433]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[18] += A[434]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[18] += A[435]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[18] += A[436]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[18] += A[437]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[18] += A[438]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[18] += A[439]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[18] += A[440]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[18] += A[441]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[18] += A[442]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[18] += A[443]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[18] += A[444]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[18] += A[445]*rk_dim24_bPerm[13]; +rk_dim24_bPerm[18] += A[446]*rk_dim24_bPerm[14]; +rk_dim24_bPerm[18] += A[447]*rk_dim24_bPerm[15]; +rk_dim24_bPerm[18] += A[448]*rk_dim24_bPerm[16]; +rk_dim24_bPerm[18] += A[449]*rk_dim24_bPerm[17]; + +rk_dim24_bPerm[19] += A[456]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[19] += A[457]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[19] += A[458]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[19] += A[459]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[19] += A[460]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[19] += A[461]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[19] += A[462]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[19] += A[463]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[19] += A[464]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[19] += A[465]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[19] += A[466]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[19] += A[467]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[19] += A[468]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[19] += A[469]*rk_dim24_bPerm[13]; +rk_dim24_bPerm[19] += A[470]*rk_dim24_bPerm[14]; +rk_dim24_bPerm[19] += A[471]*rk_dim24_bPerm[15]; +rk_dim24_bPerm[19] += A[472]*rk_dim24_bPerm[16]; +rk_dim24_bPerm[19] += A[473]*rk_dim24_bPerm[17]; +rk_dim24_bPerm[19] += A[474]*rk_dim24_bPerm[18]; + +rk_dim24_bPerm[20] += A[480]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[20] += A[481]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[20] += A[482]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[20] += A[483]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[20] += A[484]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[20] += A[485]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[20] += A[486]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[20] += A[487]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[20] += A[488]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[20] += A[489]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[20] += A[490]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[20] += A[491]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[20] += A[492]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[20] += A[493]*rk_dim24_bPerm[13]; +rk_dim24_bPerm[20] += A[494]*rk_dim24_bPerm[14]; +rk_dim24_bPerm[20] += A[495]*rk_dim24_bPerm[15]; +rk_dim24_bPerm[20] += A[496]*rk_dim24_bPerm[16]; +rk_dim24_bPerm[20] += A[497]*rk_dim24_bPerm[17]; +rk_dim24_bPerm[20] += A[498]*rk_dim24_bPerm[18]; +rk_dim24_bPerm[20] += A[499]*rk_dim24_bPerm[19]; + +rk_dim24_bPerm[21] += A[504]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[21] += A[505]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[21] += A[506]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[21] += A[507]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[21] += A[508]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[21] += A[509]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[21] += A[510]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[21] += A[511]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[21] += A[512]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[21] += A[513]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[21] += A[514]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[21] += A[515]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[21] += A[516]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[21] += A[517]*rk_dim24_bPerm[13]; +rk_dim24_bPerm[21] += A[518]*rk_dim24_bPerm[14]; +rk_dim24_bPerm[21] += A[519]*rk_dim24_bPerm[15]; +rk_dim24_bPerm[21] += A[520]*rk_dim24_bPerm[16]; +rk_dim24_bPerm[21] += A[521]*rk_dim24_bPerm[17]; +rk_dim24_bPerm[21] += A[522]*rk_dim24_bPerm[18]; +rk_dim24_bPerm[21] += A[523]*rk_dim24_bPerm[19]; +rk_dim24_bPerm[21] += A[524]*rk_dim24_bPerm[20]; + +rk_dim24_bPerm[22] += A[528]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[22] += A[529]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[22] += A[530]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[22] += A[531]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[22] += A[532]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[22] += A[533]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[22] += A[534]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[22] += A[535]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[22] += A[536]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[22] += A[537]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[22] += A[538]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[22] += A[539]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[22] += A[540]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[22] += A[541]*rk_dim24_bPerm[13]; +rk_dim24_bPerm[22] += A[542]*rk_dim24_bPerm[14]; +rk_dim24_bPerm[22] += A[543]*rk_dim24_bPerm[15]; +rk_dim24_bPerm[22] += A[544]*rk_dim24_bPerm[16]; +rk_dim24_bPerm[22] += A[545]*rk_dim24_bPerm[17]; +rk_dim24_bPerm[22] += A[546]*rk_dim24_bPerm[18]; +rk_dim24_bPerm[22] += A[547]*rk_dim24_bPerm[19]; +rk_dim24_bPerm[22] += A[548]*rk_dim24_bPerm[20]; +rk_dim24_bPerm[22] += A[549]*rk_dim24_bPerm[21]; + +rk_dim24_bPerm[23] += A[552]*rk_dim24_bPerm[0]; +rk_dim24_bPerm[23] += A[553]*rk_dim24_bPerm[1]; +rk_dim24_bPerm[23] += A[554]*rk_dim24_bPerm[2]; +rk_dim24_bPerm[23] += A[555]*rk_dim24_bPerm[3]; +rk_dim24_bPerm[23] += A[556]*rk_dim24_bPerm[4]; +rk_dim24_bPerm[23] += A[557]*rk_dim24_bPerm[5]; +rk_dim24_bPerm[23] += A[558]*rk_dim24_bPerm[6]; +rk_dim24_bPerm[23] += A[559]*rk_dim24_bPerm[7]; +rk_dim24_bPerm[23] += A[560]*rk_dim24_bPerm[8]; +rk_dim24_bPerm[23] += A[561]*rk_dim24_bPerm[9]; +rk_dim24_bPerm[23] += A[562]*rk_dim24_bPerm[10]; +rk_dim24_bPerm[23] += A[563]*rk_dim24_bPerm[11]; +rk_dim24_bPerm[23] += A[564]*rk_dim24_bPerm[12]; +rk_dim24_bPerm[23] += A[565]*rk_dim24_bPerm[13]; +rk_dim24_bPerm[23] += A[566]*rk_dim24_bPerm[14]; +rk_dim24_bPerm[23] += A[567]*rk_dim24_bPerm[15]; +rk_dim24_bPerm[23] += A[568]*rk_dim24_bPerm[16]; +rk_dim24_bPerm[23] += A[569]*rk_dim24_bPerm[17]; +rk_dim24_bPerm[23] += A[570]*rk_dim24_bPerm[18]; +rk_dim24_bPerm[23] += A[571]*rk_dim24_bPerm[19]; +rk_dim24_bPerm[23] += A[572]*rk_dim24_bPerm[20]; +rk_dim24_bPerm[23] += A[573]*rk_dim24_bPerm[21]; +rk_dim24_bPerm[23] += A[574]*rk_dim24_bPerm[22]; + + +acado_solve_dim24_triangular( A, rk_dim24_bPerm ); +b[0] = rk_dim24_bPerm[0]; +b[1] = rk_dim24_bPerm[1]; +b[2] = rk_dim24_bPerm[2]; +b[3] = rk_dim24_bPerm[3]; +b[4] = rk_dim24_bPerm[4]; +b[5] = rk_dim24_bPerm[5]; +b[6] = rk_dim24_bPerm[6]; +b[7] = rk_dim24_bPerm[7]; +b[8] = rk_dim24_bPerm[8]; +b[9] = rk_dim24_bPerm[9]; +b[10] = rk_dim24_bPerm[10]; +b[11] = rk_dim24_bPerm[11]; +b[12] = rk_dim24_bPerm[12]; +b[13] = rk_dim24_bPerm[13]; +b[14] = rk_dim24_bPerm[14]; +b[15] = rk_dim24_bPerm[15]; +b[16] = rk_dim24_bPerm[16]; +b[17] = rk_dim24_bPerm[17]; +b[18] = rk_dim24_bPerm[18]; +b[19] = rk_dim24_bPerm[19]; +b[20] = rk_dim24_bPerm[20]; +b[21] = rk_dim24_bPerm[21]; +b[22] = rk_dim24_bPerm[22]; +b[23] = rk_dim24_bPerm[23]; +} + + + +/** Matrix of size: 2 x 2 (row major format) */ +static const real_t acado_Ah_mat[ 4 ] = +{ 2.5000000000000001e-02, 5.3867513459481292e-02, +-3.8675134594812867e-03, 2.5000000000000001e-02 }; + + +/* Fixed step size:0.1 */ +int acado_integrate( real_t* const rk_eta, int resetIntegrator ) +{ +int error; + +int i; +int j; +int k; +int run; +int run1; +int tmp_index1; +int tmp_index2; + +real_t det; + +rk_ttt = 0.0000000000000000e+00; +rk_xxx[12] = rk_eta[204]; +rk_xxx[13] = rk_eta[205]; +rk_xxx[14] = rk_eta[206]; +rk_xxx[15] = rk_eta[207]; +rk_xxx[16] = rk_eta[208]; +rk_xxx[17] = rk_eta[209]; +rk_xxx[18] = rk_eta[210]; +rk_xxx[19] = rk_eta[211]; +rk_xxx[20] = rk_eta[212]; +rk_xxx[21] = rk_eta[213]; +rk_xxx[22] = rk_eta[214]; +rk_xxx[23] = rk_eta[215]; +rk_xxx[24] = rk_eta[216]; +rk_xxx[25] = rk_eta[217]; +rk_xxx[26] = rk_eta[218]; + +for (run = 0; run < 1; ++run) +{ +if( resetIntegrator ) { +for (i = 0; i < 1; ++i) +{ +for (run1 = 0; run1 < 2; ++run1) +{ +for (j = 0; j < 12; ++j) +{ +rk_xxx[j] = rk_eta[j]; +tmp_index1 = j; +rk_xxx[j] += + acado_Ah_mat[run1 * 2]*rk_kkk[tmp_index1 * 2]; +rk_xxx[j] += + acado_Ah_mat[run1 * 2 + 1]*rk_kkk[tmp_index1 * 2 + 1]; +} +acado_diffs( rk_xxx, &(rk_diffsTemp2[ run1 * 192 ]) ); +for (j = 0; j < 12; ++j) +{ +tmp_index1 = (run1 * 12) + (j); +rk_A[tmp_index1 * 24] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16)]; +rk_A[tmp_index1 * 24 + 1] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 1)]; +rk_A[tmp_index1 * 24 + 2] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 2)]; +rk_A[tmp_index1 * 24 + 3] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 3)]; +rk_A[tmp_index1 * 24 + 4] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 4)]; +rk_A[tmp_index1 * 24 + 5] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 5)]; +rk_A[tmp_index1 * 24 + 6] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 6)]; +rk_A[tmp_index1 * 24 + 7] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 7)]; +rk_A[tmp_index1 * 24 + 8] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 8)]; +rk_A[tmp_index1 * 24 + 9] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 9)]; +rk_A[tmp_index1 * 24 + 10] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 10)]; +rk_A[tmp_index1 * 24 + 11] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 11)]; +if( 0 == run1 ) rk_A[(tmp_index1 * 24) + (j)] -= 1.0000000000000000e+00; +rk_A[tmp_index1 * 24 + 12] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16)]; +rk_A[tmp_index1 * 24 + 13] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 1)]; +rk_A[tmp_index1 * 24 + 14] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 2)]; +rk_A[tmp_index1 * 24 + 15] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 3)]; +rk_A[tmp_index1 * 24 + 16] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 4)]; +rk_A[tmp_index1 * 24 + 17] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 5)]; +rk_A[tmp_index1 * 24 + 18] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 6)]; +rk_A[tmp_index1 * 24 + 19] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 7)]; +rk_A[tmp_index1 * 24 + 20] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 8)]; +rk_A[tmp_index1 * 24 + 21] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 9)]; +rk_A[tmp_index1 * 24 + 22] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 10)]; +rk_A[tmp_index1 * 24 + 23] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 11)]; +if( 1 == run1 ) rk_A[(tmp_index1 * 24) + (j + 12)] -= 1.0000000000000000e+00; +} +acado_rhs( rk_xxx, rk_rhsTemp ); +rk_b[run1 * 12] = rk_kkk[run1] - rk_rhsTemp[0]; +rk_b[run1 * 12 + 1] = rk_kkk[run1 + 2] - rk_rhsTemp[1]; +rk_b[run1 * 12 + 2] = rk_kkk[run1 + 4] - rk_rhsTemp[2]; +rk_b[run1 * 12 + 3] = rk_kkk[run1 + 6] - rk_rhsTemp[3]; +rk_b[run1 * 12 + 4] = rk_kkk[run1 + 8] - rk_rhsTemp[4]; +rk_b[run1 * 12 + 5] = rk_kkk[run1 + 10] - rk_rhsTemp[5]; +rk_b[run1 * 12 + 6] = rk_kkk[run1 + 12] - rk_rhsTemp[6]; +rk_b[run1 * 12 + 7] = rk_kkk[run1 + 14] - rk_rhsTemp[7]; +rk_b[run1 * 12 + 8] = rk_kkk[run1 + 16] - rk_rhsTemp[8]; +rk_b[run1 * 12 + 9] = rk_kkk[run1 + 18] - rk_rhsTemp[9]; +rk_b[run1 * 12 + 10] = rk_kkk[run1 + 20] - rk_rhsTemp[10]; +rk_b[run1 * 12 + 11] = rk_kkk[run1 + 22] - rk_rhsTemp[11]; +} +det = acado_solve_dim24_system( rk_A, rk_b, rk_dim24_perm ); +for (j = 0; j < 2; ++j) +{ +rk_kkk[j] += rk_b[j * 12]; +rk_kkk[j + 2] += rk_b[j * 12 + 1]; +rk_kkk[j + 4] += rk_b[j * 12 + 2]; +rk_kkk[j + 6] += rk_b[j * 12 + 3]; +rk_kkk[j + 8] += rk_b[j * 12 + 4]; +rk_kkk[j + 10] += rk_b[j * 12 + 5]; +rk_kkk[j + 12] += rk_b[j * 12 + 6]; +rk_kkk[j + 14] += rk_b[j * 12 + 7]; +rk_kkk[j + 16] += rk_b[j * 12 + 8]; +rk_kkk[j + 18] += rk_b[j * 12 + 9]; +rk_kkk[j + 20] += rk_b[j * 12 + 10]; +rk_kkk[j + 22] += rk_b[j * 12 + 11]; +} +} +} +for (i = 0; i < 5; ++i) +{ +for (run1 = 0; run1 < 2; ++run1) +{ +for (j = 0; j < 12; ++j) +{ +rk_xxx[j] = rk_eta[j]; +tmp_index1 = j; +rk_xxx[j] += + acado_Ah_mat[run1 * 2]*rk_kkk[tmp_index1 * 2]; +rk_xxx[j] += + acado_Ah_mat[run1 * 2 + 1]*rk_kkk[tmp_index1 * 2 + 1]; +} +acado_rhs( rk_xxx, rk_rhsTemp ); +rk_b[run1 * 12] = rk_kkk[run1] - rk_rhsTemp[0]; +rk_b[run1 * 12 + 1] = rk_kkk[run1 + 2] - rk_rhsTemp[1]; +rk_b[run1 * 12 + 2] = rk_kkk[run1 + 4] - rk_rhsTemp[2]; +rk_b[run1 * 12 + 3] = rk_kkk[run1 + 6] - rk_rhsTemp[3]; +rk_b[run1 * 12 + 4] = rk_kkk[run1 + 8] - rk_rhsTemp[4]; +rk_b[run1 * 12 + 5] = rk_kkk[run1 + 10] - rk_rhsTemp[5]; +rk_b[run1 * 12 + 6] = rk_kkk[run1 + 12] - rk_rhsTemp[6]; +rk_b[run1 * 12 + 7] = rk_kkk[run1 + 14] - rk_rhsTemp[7]; +rk_b[run1 * 12 + 8] = rk_kkk[run1 + 16] - rk_rhsTemp[8]; +rk_b[run1 * 12 + 9] = rk_kkk[run1 + 18] - rk_rhsTemp[9]; +rk_b[run1 * 12 + 10] = rk_kkk[run1 + 20] - rk_rhsTemp[10]; +rk_b[run1 * 12 + 11] = rk_kkk[run1 + 22] - rk_rhsTemp[11]; +} +acado_solve_dim24_system_reuse( rk_A, rk_b, rk_dim24_perm ); +for (j = 0; j < 2; ++j) +{ +rk_kkk[j] += rk_b[j * 12]; +rk_kkk[j + 2] += rk_b[j * 12 + 1]; +rk_kkk[j + 4] += rk_b[j * 12 + 2]; +rk_kkk[j + 6] += rk_b[j * 12 + 3]; +rk_kkk[j + 8] += rk_b[j * 12 + 4]; +rk_kkk[j + 10] += rk_b[j * 12 + 5]; +rk_kkk[j + 12] += rk_b[j * 12 + 6]; +rk_kkk[j + 14] += rk_b[j * 12 + 7]; +rk_kkk[j + 16] += rk_b[j * 12 + 8]; +rk_kkk[j + 18] += rk_b[j * 12 + 9]; +rk_kkk[j + 20] += rk_b[j * 12 + 10]; +rk_kkk[j + 22] += rk_b[j * 12 + 11]; +} +} +for (run1 = 0; run1 < 2; ++run1) +{ +for (j = 0; j < 12; ++j) +{ +rk_xxx[j] = rk_eta[j]; +tmp_index1 = j; +rk_xxx[j] += + acado_Ah_mat[run1 * 2]*rk_kkk[tmp_index1 * 2]; +rk_xxx[j] += + acado_Ah_mat[run1 * 2 + 1]*rk_kkk[tmp_index1 * 2 + 1]; +} +acado_diffs( rk_xxx, &(rk_diffsTemp2[ run1 * 192 ]) ); +for (j = 0; j < 12; ++j) +{ +tmp_index1 = (run1 * 12) + (j); +rk_A[tmp_index1 * 24] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16)]; +rk_A[tmp_index1 * 24 + 1] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 1)]; +rk_A[tmp_index1 * 24 + 2] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 2)]; +rk_A[tmp_index1 * 24 + 3] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 3)]; +rk_A[tmp_index1 * 24 + 4] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 4)]; +rk_A[tmp_index1 * 24 + 5] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 5)]; +rk_A[tmp_index1 * 24 + 6] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 6)]; +rk_A[tmp_index1 * 24 + 7] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 7)]; +rk_A[tmp_index1 * 24 + 8] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 8)]; +rk_A[tmp_index1 * 24 + 9] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 9)]; +rk_A[tmp_index1 * 24 + 10] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 10)]; +rk_A[tmp_index1 * 24 + 11] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 11)]; +if( 0 == run1 ) rk_A[(tmp_index1 * 24) + (j)] -= 1.0000000000000000e+00; +rk_A[tmp_index1 * 24 + 12] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16)]; +rk_A[tmp_index1 * 24 + 13] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 1)]; +rk_A[tmp_index1 * 24 + 14] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 2)]; +rk_A[tmp_index1 * 24 + 15] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 3)]; +rk_A[tmp_index1 * 24 + 16] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 4)]; +rk_A[tmp_index1 * 24 + 17] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 5)]; +rk_A[tmp_index1 * 24 + 18] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 6)]; +rk_A[tmp_index1 * 24 + 19] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 7)]; +rk_A[tmp_index1 * 24 + 20] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 8)]; +rk_A[tmp_index1 * 24 + 21] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 9)]; +rk_A[tmp_index1 * 24 + 22] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 10)]; +rk_A[tmp_index1 * 24 + 23] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 11)]; +if( 1 == run1 ) rk_A[(tmp_index1 * 24) + (j + 12)] -= 1.0000000000000000e+00; +} +} +for (run1 = 0; run1 < 12; ++run1) +{ +for (i = 0; i < 2; ++i) +{ +rk_b[i * 12] = - rk_diffsTemp2[(i * 192) + (run1)]; +rk_b[i * 12 + 1] = - rk_diffsTemp2[(i * 192) + (run1 + 16)]; +rk_b[i * 12 + 2] = - rk_diffsTemp2[(i * 192) + (run1 + 32)]; +rk_b[i * 12 + 3] = - rk_diffsTemp2[(i * 192) + (run1 + 48)]; +rk_b[i * 12 + 4] = - rk_diffsTemp2[(i * 192) + (run1 + 64)]; +rk_b[i * 12 + 5] = - rk_diffsTemp2[(i * 192) + (run1 + 80)]; +rk_b[i * 12 + 6] = - rk_diffsTemp2[(i * 192) + (run1 + 96)]; +rk_b[i * 12 + 7] = - rk_diffsTemp2[(i * 192) + (run1 + 112)]; +rk_b[i * 12 + 8] = - rk_diffsTemp2[(i * 192) + (run1 + 128)]; +rk_b[i * 12 + 9] = - rk_diffsTemp2[(i * 192) + (run1 + 144)]; +rk_b[i * 12 + 10] = - rk_diffsTemp2[(i * 192) + (run1 + 160)]; +rk_b[i * 12 + 11] = - rk_diffsTemp2[(i * 192) + (run1 + 176)]; +} +if( 0 == run1 ) { +det = acado_solve_dim24_system( rk_A, rk_b, rk_dim24_perm ); +} + else { +acado_solve_dim24_system_reuse( rk_A, rk_b, rk_dim24_perm ); +} +for (i = 0; i < 2; ++i) +{ +rk_diffK[i] = rk_b[i * 12]; +rk_diffK[i + 2] = rk_b[i * 12 + 1]; +rk_diffK[i + 4] = rk_b[i * 12 + 2]; +rk_diffK[i + 6] = rk_b[i * 12 + 3]; +rk_diffK[i + 8] = rk_b[i * 12 + 4]; +rk_diffK[i + 10] = rk_b[i * 12 + 5]; +rk_diffK[i + 12] = rk_b[i * 12 + 6]; +rk_diffK[i + 14] = rk_b[i * 12 + 7]; +rk_diffK[i + 16] = rk_b[i * 12 + 8]; +rk_diffK[i + 18] = rk_b[i * 12 + 9]; +rk_diffK[i + 20] = rk_b[i * 12 + 10]; +rk_diffK[i + 22] = rk_b[i * 12 + 11]; +} +for (i = 0; i < 12; ++i) +{ +rk_diffsNew2[(i * 16) + (run1)] = (i == run1-0); +rk_diffsNew2[(i * 16) + (run1)] += + rk_diffK[i * 2]*(real_t)5.0000000000000003e-02 + rk_diffK[i * 2 + 1]*(real_t)5.0000000000000003e-02; +} +} +for (run1 = 0; run1 < 4; ++run1) +{ +for (i = 0; i < 2; ++i) +{ +for (j = 0; j < 12; ++j) +{ +tmp_index1 = (i * 12) + (j); +tmp_index2 = (run1) + (j * 16); +rk_b[tmp_index1] = - rk_diffsTemp2[(i * 192) + (tmp_index2 + 12)]; +} +} +acado_solve_dim24_system_reuse( rk_A, rk_b, rk_dim24_perm ); +for (i = 0; i < 2; ++i) +{ +rk_diffK[i] = rk_b[i * 12]; +rk_diffK[i + 2] = rk_b[i * 12 + 1]; +rk_diffK[i + 4] = rk_b[i * 12 + 2]; +rk_diffK[i + 6] = rk_b[i * 12 + 3]; +rk_diffK[i + 8] = rk_b[i * 12 + 4]; +rk_diffK[i + 10] = rk_b[i * 12 + 5]; +rk_diffK[i + 12] = rk_b[i * 12 + 6]; +rk_diffK[i + 14] = rk_b[i * 12 + 7]; +rk_diffK[i + 16] = rk_b[i * 12 + 8]; +rk_diffK[i + 18] = rk_b[i * 12 + 9]; +rk_diffK[i + 20] = rk_b[i * 12 + 10]; +rk_diffK[i + 22] = rk_b[i * 12 + 11]; +} +for (i = 0; i < 12; ++i) +{ +rk_diffsNew2[(i * 16) + (run1 + 12)] = + rk_diffK[i * 2]*(real_t)5.0000000000000003e-02 + rk_diffK[i * 2 + 1]*(real_t)5.0000000000000003e-02; +} +} +rk_eta[0] += + rk_kkk[0]*(real_t)5.0000000000000003e-02 + rk_kkk[1]*(real_t)5.0000000000000003e-02; +rk_eta[1] += + rk_kkk[2]*(real_t)5.0000000000000003e-02 + rk_kkk[3]*(real_t)5.0000000000000003e-02; +rk_eta[2] += + rk_kkk[4]*(real_t)5.0000000000000003e-02 + rk_kkk[5]*(real_t)5.0000000000000003e-02; +rk_eta[3] += + rk_kkk[6]*(real_t)5.0000000000000003e-02 + rk_kkk[7]*(real_t)5.0000000000000003e-02; +rk_eta[4] += + rk_kkk[8]*(real_t)5.0000000000000003e-02 + rk_kkk[9]*(real_t)5.0000000000000003e-02; +rk_eta[5] += + rk_kkk[10]*(real_t)5.0000000000000003e-02 + rk_kkk[11]*(real_t)5.0000000000000003e-02; +rk_eta[6] += + rk_kkk[12]*(real_t)5.0000000000000003e-02 + rk_kkk[13]*(real_t)5.0000000000000003e-02; +rk_eta[7] += + rk_kkk[14]*(real_t)5.0000000000000003e-02 + rk_kkk[15]*(real_t)5.0000000000000003e-02; +rk_eta[8] += + rk_kkk[16]*(real_t)5.0000000000000003e-02 + rk_kkk[17]*(real_t)5.0000000000000003e-02; +rk_eta[9] += + rk_kkk[18]*(real_t)5.0000000000000003e-02 + rk_kkk[19]*(real_t)5.0000000000000003e-02; +rk_eta[10] += + rk_kkk[20]*(real_t)5.0000000000000003e-02 + rk_kkk[21]*(real_t)5.0000000000000003e-02; +rk_eta[11] += + rk_kkk[22]*(real_t)5.0000000000000003e-02 + rk_kkk[23]*(real_t)5.0000000000000003e-02; +for (i = 0; i < 12; ++i) +{ +for (j = 0; j < 12; ++j) +{ +tmp_index2 = (j) + (i * 12); +rk_eta[tmp_index2 + 12] = rk_diffsNew2[(i * 16) + (j)]; +} +for (j = 0; j < 4; ++j) +{ +tmp_index2 = (j) + (i * 4); +rk_eta[tmp_index2 + 156] = rk_diffsNew2[(i * 16) + (j + 12)]; +} +} +resetIntegrator = 0; +rk_ttt += 1.0000000000000000e+00; +} +for (i = 0; i < 12; ++i) +{ +} +if( det < 1e-12 ) { +error = 2; +} else if( det < 1e-6 ) { +error = 1; +} else { +error = 0; +} +return error; +} + + + diff --git a/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.cpp b/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.cpp new file mode 100644 index 0000000..a645efd --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.cpp @@ -0,0 +1,70 @@ +/* + * This file was auto-generated using the ACADO Toolkit. + * + * While ACADO Toolkit is free software released under the terms of + * the GNU Lesser General Public License (LGPL), the generated code + * as such remains the property of the user who used ACADO Toolkit + * to generate this code. In particular, user dependent data of the code + * do not inherit the GNU LGPL license. On the other hand, parts of the + * generated code that are a direct copy of source code from the + * ACADO Toolkit or the software tools it is based on, remain, as derived + * work, automatically covered by the LGPL license. + * + * ACADO Toolkit is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + * + */ + + +extern "C" +{ +#include "acado_common.h" +} + +#include "INCLUDE/QProblemB.hpp" + +#if ACADO_COMPUTE_COVARIANCE_MATRIX == 1 +#include "INCLUDE/EXTRAS/SolutionAnalysis.hpp" +#endif /* ACADO_COMPUTE_COVARIANCE_MATRIX */ + +static int acado_nWSR; + + + +#if ACADO_COMPUTE_COVARIANCE_MATRIX == 1 +static SolutionAnalysis acado_sa; +#endif /* ACADO_COMPUTE_COVARIANCE_MATRIX */ + +int acado_solve( void ) +{ + acado_nWSR = QPOASES_NWSRMAX; + + QProblemB qp( 80 ); + + returnValue retVal = qp.init(acadoWorkspace.H, acadoWorkspace.g, acadoWorkspace.lb, acadoWorkspace.ub, acado_nWSR); + + qp.getPrimalSolution( acadoWorkspace.x ); + qp.getDualSolution( acadoWorkspace.y ); + +#if ACADO_COMPUTE_COVARIANCE_MATRIX == 1 + + if (retVal != SUCCESSFUL_RETURN) + return (int)retVal; + + retVal = acado_sa.getHessianInverse( &qp, ); + +#endif /* ACADO_COMPUTE_COVARIANCE_MATRIX */ + + return (int)retVal; +} + +int acado_getNWSR( void ) +{ + return acado_nWSR; +} + +const char* acado_getErrorString( int error ) +{ + return MessageHandling::getErrorString( error ); +} diff --git a/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.hpp b/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.hpp new file mode 100644 index 0000000..49870d8 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.hpp @@ -0,0 +1,65 @@ +/* + * This file was auto-generated using the ACADO Toolkit. + * + * While ACADO Toolkit is free software released under the terms of + * the GNU Lesser General Public License (LGPL), the generated code + * as such remains the property of the user who used ACADO Toolkit + * to generate this code. In particular, user dependent data of the code + * do not inherit the GNU LGPL license. On the other hand, parts of the + * generated code that are a direct copy of source code from the + * ACADO Toolkit or the software tools it is based on, remain, as derived + * work, automatically covered by the LGPL license. + * + * ACADO Toolkit is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + * + */ + + +#ifndef QPOASES_HEADER +#define QPOASES_HEADER + +#ifdef PC_DEBUG +#include +#endif /* PC_DEBUG */ + +#include + +#ifdef __cplusplus +#define EXTERNC extern "C" +#else +#define EXTERNC +#endif + +/* + * A set of options for qpOASES + */ + +/** Maximum number of optimization variables. */ +#define QPOASES_NVMAX 80 +/** Maximum number of constraints. */ +#define QPOASES_NCMAX 0 +/** Maximum number of working set recalculations. */ +#define QPOASES_NWSRMAX 240 +/** Print level for qpOASES. */ +#define QPOASES_PRINTLEVEL PL_NONE +/** The value of EPS */ +#define QPOASES_EPS 2.221e-16 +/** Internally used floating point type */ +typedef double real_t; + +/* + * Forward function declarations + */ + +/** A function that calls the QP solver */ +EXTERNC int acado_solve( void ); + +/** Get the number of active set changes */ +EXTERNC int acado_getNWSR( void ); + +/** Get the error string. */ +const char* acado_getErrorString( int error ); + +#endif /* QPOASES_HEADER */ diff --git a/mav_modified_rodrigues_nmpc/solver/acado_solver.c b/mav_modified_rodrigues_nmpc/solver/acado_solver.c new file mode 100644 index 0000000..3ffbc5e --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/acado_solver.c @@ -0,0 +1,2596 @@ +/* + * This file was auto-generated using the ACADO Toolkit. + * + * While ACADO Toolkit is free software released under the terms of + * the GNU Lesser General Public License (LGPL), the generated code + * as such remains the property of the user who used ACADO Toolkit + * to generate this code. In particular, user dependent data of the code + * do not inherit the GNU LGPL license. On the other hand, parts of the + * generated code that are a direct copy of source code from the + * ACADO Toolkit or the software tools it is based on, remain, as derived + * work, automatically covered by the LGPL license. + * + * ACADO Toolkit is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + * + */ + + +#include "acado_common.h" + + + + +/******************************************************************************/ +/* */ +/* ACADO code generation */ +/* */ +/******************************************************************************/ + + +/** Row vector of size: 219 */ +real_t state[ 219 ]; + +int acado_modelSimulation( ) +{ +int ret; + +int lRun1; +int lRun2; +ret = 0; +#pragma omp parallel for private(lRun1, state) shared(acadoWorkspace, acadoVariables) +for (lRun1 = 0; lRun1 < 20; ++lRun1) +{ +state[0] = acadoVariables.x[lRun1 * 12]; +state[1] = acadoVariables.x[lRun1 * 12 + 1]; +state[2] = acadoVariables.x[lRun1 * 12 + 2]; +state[3] = acadoVariables.x[lRun1 * 12 + 3]; +state[4] = acadoVariables.x[lRun1 * 12 + 4]; +state[5] = acadoVariables.x[lRun1 * 12 + 5]; +state[6] = acadoVariables.x[lRun1 * 12 + 6]; +state[7] = acadoVariables.x[lRun1 * 12 + 7]; +state[8] = acadoVariables.x[lRun1 * 12 + 8]; +state[9] = acadoVariables.x[lRun1 * 12 + 9]; +state[10] = acadoVariables.x[lRun1 * 12 + 10]; +state[11] = acadoVariables.x[lRun1 * 12 + 11]; + +state[204] = acadoVariables.u[lRun1 * 4]; +state[205] = acadoVariables.u[lRun1 * 4 + 1]; +state[206] = acadoVariables.u[lRun1 * 4 + 2]; +state[207] = acadoVariables.u[lRun1 * 4 + 3]; +state[208] = acadoVariables.od[lRun1 * 11]; +state[209] = acadoVariables.od[lRun1 * 11 + 1]; +state[210] = acadoVariables.od[lRun1 * 11 + 2]; +state[211] = acadoVariables.od[lRun1 * 11 + 3]; +state[212] = acadoVariables.od[lRun1 * 11 + 4]; +state[213] = acadoVariables.od[lRun1 * 11 + 5]; +state[214] = acadoVariables.od[lRun1 * 11 + 6]; +state[215] = acadoVariables.od[lRun1 * 11 + 7]; +state[216] = acadoVariables.od[lRun1 * 11 + 8]; +state[217] = acadoVariables.od[lRun1 * 11 + 9]; +state[218] = acadoVariables.od[lRun1 * 11 + 10]; + +ret = acado_integrate(state, 1); + +acadoWorkspace.d[lRun1 * 12] = state[0] - acadoVariables.x[lRun1 * 12 + 12]; +acadoWorkspace.d[lRun1 * 12 + 1] = state[1] - acadoVariables.x[lRun1 * 12 + 13]; +acadoWorkspace.d[lRun1 * 12 + 2] = state[2] - acadoVariables.x[lRun1 * 12 + 14]; +acadoWorkspace.d[lRun1 * 12 + 3] = state[3] - acadoVariables.x[lRun1 * 12 + 15]; +acadoWorkspace.d[lRun1 * 12 + 4] = state[4] - acadoVariables.x[lRun1 * 12 + 16]; +acadoWorkspace.d[lRun1 * 12 + 5] = state[5] - acadoVariables.x[lRun1 * 12 + 17]; +acadoWorkspace.d[lRun1 * 12 + 6] = state[6] - acadoVariables.x[lRun1 * 12 + 18]; +acadoWorkspace.d[lRun1 * 12 + 7] = state[7] - acadoVariables.x[lRun1 * 12 + 19]; +acadoWorkspace.d[lRun1 * 12 + 8] = state[8] - acadoVariables.x[lRun1 * 12 + 20]; +acadoWorkspace.d[lRun1 * 12 + 9] = state[9] - acadoVariables.x[lRun1 * 12 + 21]; +acadoWorkspace.d[lRun1 * 12 + 10] = state[10] - acadoVariables.x[lRun1 * 12 + 22]; +acadoWorkspace.d[lRun1 * 12 + 11] = state[11] - acadoVariables.x[lRun1 * 12 + 23]; + +for (lRun2 = 0; lRun2 < 144; ++lRun2) +acadoWorkspace.evGx[(0) + ((lRun2) + (lRun1 * 144))] = state[lRun2 + 12]; + + +acadoWorkspace.evGu[lRun1 * 48] = state[156]; +acadoWorkspace.evGu[lRun1 * 48 + 1] = state[157]; +acadoWorkspace.evGu[lRun1 * 48 + 2] = state[158]; +acadoWorkspace.evGu[lRun1 * 48 + 3] = state[159]; +acadoWorkspace.evGu[lRun1 * 48 + 4] = state[160]; +acadoWorkspace.evGu[lRun1 * 48 + 5] = state[161]; +acadoWorkspace.evGu[lRun1 * 48 + 6] = state[162]; +acadoWorkspace.evGu[lRun1 * 48 + 7] = state[163]; +acadoWorkspace.evGu[lRun1 * 48 + 8] = state[164]; +acadoWorkspace.evGu[lRun1 * 48 + 9] = state[165]; +acadoWorkspace.evGu[lRun1 * 48 + 10] = state[166]; +acadoWorkspace.evGu[lRun1 * 48 + 11] = state[167]; +acadoWorkspace.evGu[lRun1 * 48 + 12] = state[168]; +acadoWorkspace.evGu[lRun1 * 48 + 13] = state[169]; +acadoWorkspace.evGu[lRun1 * 48 + 14] = state[170]; +acadoWorkspace.evGu[lRun1 * 48 + 15] = state[171]; +acadoWorkspace.evGu[lRun1 * 48 + 16] = state[172]; +acadoWorkspace.evGu[lRun1 * 48 + 17] = state[173]; +acadoWorkspace.evGu[lRun1 * 48 + 18] = state[174]; +acadoWorkspace.evGu[lRun1 * 48 + 19] = state[175]; +acadoWorkspace.evGu[lRun1 * 48 + 20] = state[176]; +acadoWorkspace.evGu[lRun1 * 48 + 21] = state[177]; +acadoWorkspace.evGu[lRun1 * 48 + 22] = state[178]; +acadoWorkspace.evGu[lRun1 * 48 + 23] = state[179]; +acadoWorkspace.evGu[lRun1 * 48 + 24] = state[180]; +acadoWorkspace.evGu[lRun1 * 48 + 25] = state[181]; +acadoWorkspace.evGu[lRun1 * 48 + 26] = state[182]; +acadoWorkspace.evGu[lRun1 * 48 + 27] = state[183]; +acadoWorkspace.evGu[lRun1 * 48 + 28] = state[184]; +acadoWorkspace.evGu[lRun1 * 48 + 29] = state[185]; +acadoWorkspace.evGu[lRun1 * 48 + 30] = state[186]; +acadoWorkspace.evGu[lRun1 * 48 + 31] = state[187]; +acadoWorkspace.evGu[lRun1 * 48 + 32] = state[188]; +acadoWorkspace.evGu[lRun1 * 48 + 33] = state[189]; +acadoWorkspace.evGu[lRun1 * 48 + 34] = state[190]; +acadoWorkspace.evGu[lRun1 * 48 + 35] = state[191]; +acadoWorkspace.evGu[lRun1 * 48 + 36] = state[192]; +acadoWorkspace.evGu[lRun1 * 48 + 37] = state[193]; +acadoWorkspace.evGu[lRun1 * 48 + 38] = state[194]; +acadoWorkspace.evGu[lRun1 * 48 + 39] = state[195]; +acadoWorkspace.evGu[lRun1 * 48 + 40] = state[196]; +acadoWorkspace.evGu[lRun1 * 48 + 41] = state[197]; +acadoWorkspace.evGu[lRun1 * 48 + 42] = state[198]; +acadoWorkspace.evGu[lRun1 * 48 + 43] = state[199]; +acadoWorkspace.evGu[lRun1 * 48 + 44] = state[200]; +acadoWorkspace.evGu[lRun1 * 48 + 45] = state[201]; +acadoWorkspace.evGu[lRun1 * 48 + 46] = state[202]; +acadoWorkspace.evGu[lRun1 * 48 + 47] = state[203]; +} +return ret; +} + +void acado_evaluateLSQ(const real_t* in, real_t* out) +{ +const real_t* xd = in; +const real_t* u = in + 12; +const real_t* od = in + 16; + +/* Compute outputs: */ +out[0] = xd[0]; +out[1] = xd[1]; +out[2] = xd[2]; +out[3] = xd[3]; +out[4] = xd[4]; +out[5] = xd[5]; +out[6] = xd[6]; +out[7] = xd[7]; +out[8] = xd[8]; +out[9] = xd[9]; +out[10] = xd[10]; +out[11] = xd[11]; +out[12] = (((real_t)(-2.4516499999999999e+00)*od[0])+u[0]); +out[13] = (((real_t)(-2.4516499999999999e+00)*od[0])+u[1]); +out[14] = (((real_t)(-2.4516499999999999e+00)*od[0])+u[2]); +out[15] = (((real_t)(-2.4516499999999999e+00)*od[0])+u[3]); +} + +void acado_evaluateLSQEndTerm(const real_t* in, real_t* out) +{ +const real_t* xd = in; + +/* Compute outputs: */ +out[0] = xd[0]; +out[1] = xd[1]; +out[2] = xd[2]; +out[3] = xd[3]; +out[4] = xd[4]; +out[5] = xd[5]; +} + +void acado_setObjQ1Q2( real_t* const tmpObjS, real_t* const tmpQ1, real_t* const tmpQ2 ) +{ +tmpQ2[0] = +tmpObjS[0]; +tmpQ2[1] = +tmpObjS[1]; +tmpQ2[2] = +tmpObjS[2]; +tmpQ2[3] = +tmpObjS[3]; +tmpQ2[4] = +tmpObjS[4]; +tmpQ2[5] = +tmpObjS[5]; +tmpQ2[6] = +tmpObjS[6]; +tmpQ2[7] = +tmpObjS[7]; +tmpQ2[8] = +tmpObjS[8]; +tmpQ2[9] = +tmpObjS[9]; +tmpQ2[10] = +tmpObjS[10]; +tmpQ2[11] = +tmpObjS[11]; +tmpQ2[12] = +tmpObjS[12]; +tmpQ2[13] = +tmpObjS[13]; +tmpQ2[14] = +tmpObjS[14]; +tmpQ2[15] = +tmpObjS[15]; +tmpQ2[16] = +tmpObjS[16]; +tmpQ2[17] = +tmpObjS[17]; +tmpQ2[18] = +tmpObjS[18]; +tmpQ2[19] = +tmpObjS[19]; +tmpQ2[20] = +tmpObjS[20]; +tmpQ2[21] = +tmpObjS[21]; +tmpQ2[22] = +tmpObjS[22]; +tmpQ2[23] = +tmpObjS[23]; +tmpQ2[24] = +tmpObjS[24]; +tmpQ2[25] = +tmpObjS[25]; +tmpQ2[26] = +tmpObjS[26]; +tmpQ2[27] = +tmpObjS[27]; +tmpQ2[28] = +tmpObjS[28]; +tmpQ2[29] = +tmpObjS[29]; +tmpQ2[30] = +tmpObjS[30]; +tmpQ2[31] = +tmpObjS[31]; +tmpQ2[32] = +tmpObjS[32]; +tmpQ2[33] = +tmpObjS[33]; +tmpQ2[34] = +tmpObjS[34]; +tmpQ2[35] = +tmpObjS[35]; +tmpQ2[36] = +tmpObjS[36]; +tmpQ2[37] = +tmpObjS[37]; +tmpQ2[38] = +tmpObjS[38]; +tmpQ2[39] = +tmpObjS[39]; +tmpQ2[40] = +tmpObjS[40]; +tmpQ2[41] = +tmpObjS[41]; +tmpQ2[42] = +tmpObjS[42]; +tmpQ2[43] = +tmpObjS[43]; +tmpQ2[44] = +tmpObjS[44]; +tmpQ2[45] = +tmpObjS[45]; +tmpQ2[46] = +tmpObjS[46]; +tmpQ2[47] = +tmpObjS[47]; +tmpQ2[48] = +tmpObjS[48]; +tmpQ2[49] = +tmpObjS[49]; +tmpQ2[50] = +tmpObjS[50]; +tmpQ2[51] = +tmpObjS[51]; +tmpQ2[52] = +tmpObjS[52]; +tmpQ2[53] = +tmpObjS[53]; +tmpQ2[54] = +tmpObjS[54]; +tmpQ2[55] = +tmpObjS[55]; +tmpQ2[56] = +tmpObjS[56]; +tmpQ2[57] = +tmpObjS[57]; +tmpQ2[58] = +tmpObjS[58]; +tmpQ2[59] = +tmpObjS[59]; +tmpQ2[60] = +tmpObjS[60]; +tmpQ2[61] = +tmpObjS[61]; +tmpQ2[62] = +tmpObjS[62]; +tmpQ2[63] = +tmpObjS[63]; +tmpQ2[64] = +tmpObjS[64]; +tmpQ2[65] = +tmpObjS[65]; +tmpQ2[66] = +tmpObjS[66]; +tmpQ2[67] = +tmpObjS[67]; +tmpQ2[68] = +tmpObjS[68]; +tmpQ2[69] = +tmpObjS[69]; +tmpQ2[70] = +tmpObjS[70]; +tmpQ2[71] = +tmpObjS[71]; +tmpQ2[72] = +tmpObjS[72]; +tmpQ2[73] = +tmpObjS[73]; +tmpQ2[74] = +tmpObjS[74]; +tmpQ2[75] = +tmpObjS[75]; +tmpQ2[76] = +tmpObjS[76]; +tmpQ2[77] = +tmpObjS[77]; +tmpQ2[78] = +tmpObjS[78]; +tmpQ2[79] = +tmpObjS[79]; +tmpQ2[80] = +tmpObjS[80]; +tmpQ2[81] = +tmpObjS[81]; +tmpQ2[82] = +tmpObjS[82]; +tmpQ2[83] = +tmpObjS[83]; +tmpQ2[84] = +tmpObjS[84]; +tmpQ2[85] = +tmpObjS[85]; +tmpQ2[86] = +tmpObjS[86]; +tmpQ2[87] = +tmpObjS[87]; +tmpQ2[88] = +tmpObjS[88]; +tmpQ2[89] = +tmpObjS[89]; +tmpQ2[90] = +tmpObjS[90]; +tmpQ2[91] = +tmpObjS[91]; +tmpQ2[92] = +tmpObjS[92]; +tmpQ2[93] = +tmpObjS[93]; +tmpQ2[94] = +tmpObjS[94]; +tmpQ2[95] = +tmpObjS[95]; +tmpQ2[96] = +tmpObjS[96]; +tmpQ2[97] = +tmpObjS[97]; +tmpQ2[98] = +tmpObjS[98]; +tmpQ2[99] = +tmpObjS[99]; +tmpQ2[100] = +tmpObjS[100]; +tmpQ2[101] = +tmpObjS[101]; +tmpQ2[102] = +tmpObjS[102]; +tmpQ2[103] = +tmpObjS[103]; +tmpQ2[104] = +tmpObjS[104]; +tmpQ2[105] = +tmpObjS[105]; +tmpQ2[106] = +tmpObjS[106]; +tmpQ2[107] = +tmpObjS[107]; +tmpQ2[108] = +tmpObjS[108]; +tmpQ2[109] = +tmpObjS[109]; +tmpQ2[110] = +tmpObjS[110]; +tmpQ2[111] = +tmpObjS[111]; +tmpQ2[112] = +tmpObjS[112]; +tmpQ2[113] = +tmpObjS[113]; +tmpQ2[114] = +tmpObjS[114]; +tmpQ2[115] = +tmpObjS[115]; +tmpQ2[116] = +tmpObjS[116]; +tmpQ2[117] = +tmpObjS[117]; +tmpQ2[118] = +tmpObjS[118]; +tmpQ2[119] = +tmpObjS[119]; +tmpQ2[120] = +tmpObjS[120]; +tmpQ2[121] = +tmpObjS[121]; +tmpQ2[122] = +tmpObjS[122]; +tmpQ2[123] = +tmpObjS[123]; +tmpQ2[124] = +tmpObjS[124]; +tmpQ2[125] = +tmpObjS[125]; +tmpQ2[126] = +tmpObjS[126]; +tmpQ2[127] = +tmpObjS[127]; +tmpQ2[128] = +tmpObjS[128]; +tmpQ2[129] = +tmpObjS[129]; +tmpQ2[130] = +tmpObjS[130]; +tmpQ2[131] = +tmpObjS[131]; +tmpQ2[132] = +tmpObjS[132]; +tmpQ2[133] = +tmpObjS[133]; +tmpQ2[134] = +tmpObjS[134]; +tmpQ2[135] = +tmpObjS[135]; +tmpQ2[136] = +tmpObjS[136]; +tmpQ2[137] = +tmpObjS[137]; +tmpQ2[138] = +tmpObjS[138]; +tmpQ2[139] = +tmpObjS[139]; +tmpQ2[140] = +tmpObjS[140]; +tmpQ2[141] = +tmpObjS[141]; +tmpQ2[142] = +tmpObjS[142]; +tmpQ2[143] = +tmpObjS[143]; +tmpQ2[144] = +tmpObjS[144]; +tmpQ2[145] = +tmpObjS[145]; +tmpQ2[146] = +tmpObjS[146]; +tmpQ2[147] = +tmpObjS[147]; +tmpQ2[148] = +tmpObjS[148]; +tmpQ2[149] = +tmpObjS[149]; +tmpQ2[150] = +tmpObjS[150]; +tmpQ2[151] = +tmpObjS[151]; +tmpQ2[152] = +tmpObjS[152]; +tmpQ2[153] = +tmpObjS[153]; +tmpQ2[154] = +tmpObjS[154]; +tmpQ2[155] = +tmpObjS[155]; +tmpQ2[156] = +tmpObjS[156]; +tmpQ2[157] = +tmpObjS[157]; +tmpQ2[158] = +tmpObjS[158]; +tmpQ2[159] = +tmpObjS[159]; +tmpQ2[160] = +tmpObjS[160]; +tmpQ2[161] = +tmpObjS[161]; +tmpQ2[162] = +tmpObjS[162]; +tmpQ2[163] = +tmpObjS[163]; +tmpQ2[164] = +tmpObjS[164]; +tmpQ2[165] = +tmpObjS[165]; +tmpQ2[166] = +tmpObjS[166]; +tmpQ2[167] = +tmpObjS[167]; +tmpQ2[168] = +tmpObjS[168]; +tmpQ2[169] = +tmpObjS[169]; +tmpQ2[170] = +tmpObjS[170]; +tmpQ2[171] = +tmpObjS[171]; +tmpQ2[172] = +tmpObjS[172]; +tmpQ2[173] = +tmpObjS[173]; +tmpQ2[174] = +tmpObjS[174]; +tmpQ2[175] = +tmpObjS[175]; +tmpQ2[176] = +tmpObjS[176]; +tmpQ2[177] = +tmpObjS[177]; +tmpQ2[178] = +tmpObjS[178]; +tmpQ2[179] = +tmpObjS[179]; +tmpQ2[180] = +tmpObjS[180]; +tmpQ2[181] = +tmpObjS[181]; +tmpQ2[182] = +tmpObjS[182]; +tmpQ2[183] = +tmpObjS[183]; +tmpQ2[184] = +tmpObjS[184]; +tmpQ2[185] = +tmpObjS[185]; +tmpQ2[186] = +tmpObjS[186]; +tmpQ2[187] = +tmpObjS[187]; +tmpQ2[188] = +tmpObjS[188]; +tmpQ2[189] = +tmpObjS[189]; +tmpQ2[190] = +tmpObjS[190]; +tmpQ2[191] = +tmpObjS[191]; +tmpQ1[0] = + tmpQ2[0]; +tmpQ1[1] = + tmpQ2[1]; +tmpQ1[2] = + tmpQ2[2]; +tmpQ1[3] = + tmpQ2[3]; +tmpQ1[4] = + tmpQ2[4]; +tmpQ1[5] = + tmpQ2[5]; +tmpQ1[6] = + tmpQ2[6]; +tmpQ1[7] = + tmpQ2[7]; +tmpQ1[8] = + tmpQ2[8]; +tmpQ1[9] = + tmpQ2[9]; +tmpQ1[10] = + tmpQ2[10]; +tmpQ1[11] = + tmpQ2[11]; +tmpQ1[12] = + tmpQ2[16]; +tmpQ1[13] = + tmpQ2[17]; +tmpQ1[14] = + tmpQ2[18]; +tmpQ1[15] = + tmpQ2[19]; +tmpQ1[16] = + tmpQ2[20]; +tmpQ1[17] = + tmpQ2[21]; +tmpQ1[18] = + tmpQ2[22]; +tmpQ1[19] = + tmpQ2[23]; +tmpQ1[20] = + tmpQ2[24]; +tmpQ1[21] = + tmpQ2[25]; +tmpQ1[22] = + tmpQ2[26]; +tmpQ1[23] = + tmpQ2[27]; +tmpQ1[24] = + tmpQ2[32]; +tmpQ1[25] = + tmpQ2[33]; +tmpQ1[26] = + tmpQ2[34]; +tmpQ1[27] = + tmpQ2[35]; +tmpQ1[28] = + tmpQ2[36]; +tmpQ1[29] = + tmpQ2[37]; +tmpQ1[30] = + tmpQ2[38]; +tmpQ1[31] = + tmpQ2[39]; +tmpQ1[32] = + tmpQ2[40]; +tmpQ1[33] = + tmpQ2[41]; +tmpQ1[34] = + tmpQ2[42]; +tmpQ1[35] = + tmpQ2[43]; +tmpQ1[36] = + tmpQ2[48]; +tmpQ1[37] = + tmpQ2[49]; +tmpQ1[38] = + tmpQ2[50]; +tmpQ1[39] = + tmpQ2[51]; +tmpQ1[40] = + tmpQ2[52]; +tmpQ1[41] = + tmpQ2[53]; +tmpQ1[42] = + tmpQ2[54]; +tmpQ1[43] = + tmpQ2[55]; +tmpQ1[44] = + tmpQ2[56]; +tmpQ1[45] = + tmpQ2[57]; +tmpQ1[46] = + tmpQ2[58]; +tmpQ1[47] = + tmpQ2[59]; +tmpQ1[48] = + tmpQ2[64]; +tmpQ1[49] = + tmpQ2[65]; +tmpQ1[50] = + tmpQ2[66]; +tmpQ1[51] = + tmpQ2[67]; +tmpQ1[52] = + tmpQ2[68]; +tmpQ1[53] = + tmpQ2[69]; +tmpQ1[54] = + tmpQ2[70]; +tmpQ1[55] = + tmpQ2[71]; +tmpQ1[56] = + tmpQ2[72]; +tmpQ1[57] = + tmpQ2[73]; +tmpQ1[58] = + tmpQ2[74]; +tmpQ1[59] = + tmpQ2[75]; +tmpQ1[60] = + tmpQ2[80]; +tmpQ1[61] = + tmpQ2[81]; +tmpQ1[62] = + tmpQ2[82]; +tmpQ1[63] = + tmpQ2[83]; +tmpQ1[64] = + tmpQ2[84]; +tmpQ1[65] = + tmpQ2[85]; +tmpQ1[66] = + tmpQ2[86]; +tmpQ1[67] = + tmpQ2[87]; +tmpQ1[68] = + tmpQ2[88]; +tmpQ1[69] = + tmpQ2[89]; +tmpQ1[70] = + tmpQ2[90]; +tmpQ1[71] = + tmpQ2[91]; +tmpQ1[72] = + tmpQ2[96]; +tmpQ1[73] = + tmpQ2[97]; +tmpQ1[74] = + tmpQ2[98]; +tmpQ1[75] = + tmpQ2[99]; +tmpQ1[76] = + tmpQ2[100]; +tmpQ1[77] = + tmpQ2[101]; +tmpQ1[78] = + tmpQ2[102]; +tmpQ1[79] = + tmpQ2[103]; +tmpQ1[80] = + tmpQ2[104]; +tmpQ1[81] = + tmpQ2[105]; +tmpQ1[82] = + tmpQ2[106]; +tmpQ1[83] = + tmpQ2[107]; +tmpQ1[84] = + tmpQ2[112]; +tmpQ1[85] = + tmpQ2[113]; +tmpQ1[86] = + tmpQ2[114]; +tmpQ1[87] = + tmpQ2[115]; +tmpQ1[88] = + tmpQ2[116]; +tmpQ1[89] = + tmpQ2[117]; +tmpQ1[90] = + tmpQ2[118]; +tmpQ1[91] = + tmpQ2[119]; +tmpQ1[92] = + tmpQ2[120]; +tmpQ1[93] = + tmpQ2[121]; +tmpQ1[94] = + tmpQ2[122]; +tmpQ1[95] = + tmpQ2[123]; +tmpQ1[96] = + tmpQ2[128]; +tmpQ1[97] = + tmpQ2[129]; +tmpQ1[98] = + tmpQ2[130]; +tmpQ1[99] = + tmpQ2[131]; +tmpQ1[100] = + tmpQ2[132]; +tmpQ1[101] = + tmpQ2[133]; +tmpQ1[102] = + tmpQ2[134]; +tmpQ1[103] = + tmpQ2[135]; +tmpQ1[104] = + tmpQ2[136]; +tmpQ1[105] = + tmpQ2[137]; +tmpQ1[106] = + tmpQ2[138]; +tmpQ1[107] = + tmpQ2[139]; +tmpQ1[108] = + tmpQ2[144]; +tmpQ1[109] = + tmpQ2[145]; +tmpQ1[110] = + tmpQ2[146]; +tmpQ1[111] = + tmpQ2[147]; +tmpQ1[112] = + tmpQ2[148]; +tmpQ1[113] = + tmpQ2[149]; +tmpQ1[114] = + tmpQ2[150]; +tmpQ1[115] = + tmpQ2[151]; +tmpQ1[116] = + tmpQ2[152]; +tmpQ1[117] = + tmpQ2[153]; +tmpQ1[118] = + tmpQ2[154]; +tmpQ1[119] = + tmpQ2[155]; +tmpQ1[120] = + tmpQ2[160]; +tmpQ1[121] = + tmpQ2[161]; +tmpQ1[122] = + tmpQ2[162]; +tmpQ1[123] = + tmpQ2[163]; +tmpQ1[124] = + tmpQ2[164]; +tmpQ1[125] = + tmpQ2[165]; +tmpQ1[126] = + tmpQ2[166]; +tmpQ1[127] = + tmpQ2[167]; +tmpQ1[128] = + tmpQ2[168]; +tmpQ1[129] = + tmpQ2[169]; +tmpQ1[130] = + tmpQ2[170]; +tmpQ1[131] = + tmpQ2[171]; +tmpQ1[132] = + tmpQ2[176]; +tmpQ1[133] = + tmpQ2[177]; +tmpQ1[134] = + tmpQ2[178]; +tmpQ1[135] = + tmpQ2[179]; +tmpQ1[136] = + tmpQ2[180]; +tmpQ1[137] = + tmpQ2[181]; +tmpQ1[138] = + tmpQ2[182]; +tmpQ1[139] = + tmpQ2[183]; +tmpQ1[140] = + tmpQ2[184]; +tmpQ1[141] = + tmpQ2[185]; +tmpQ1[142] = + tmpQ2[186]; +tmpQ1[143] = + tmpQ2[187]; +} + +void acado_setObjR1R2( real_t* const tmpObjS, real_t* const tmpR1, real_t* const tmpR2 ) +{ +tmpR2[0] = +tmpObjS[192]; +tmpR2[1] = +tmpObjS[193]; +tmpR2[2] = +tmpObjS[194]; +tmpR2[3] = +tmpObjS[195]; +tmpR2[4] = +tmpObjS[196]; +tmpR2[5] = +tmpObjS[197]; +tmpR2[6] = +tmpObjS[198]; +tmpR2[7] = +tmpObjS[199]; +tmpR2[8] = +tmpObjS[200]; +tmpR2[9] = +tmpObjS[201]; +tmpR2[10] = +tmpObjS[202]; +tmpR2[11] = +tmpObjS[203]; +tmpR2[12] = +tmpObjS[204]; +tmpR2[13] = +tmpObjS[205]; +tmpR2[14] = +tmpObjS[206]; +tmpR2[15] = +tmpObjS[207]; +tmpR2[16] = +tmpObjS[208]; +tmpR2[17] = +tmpObjS[209]; +tmpR2[18] = +tmpObjS[210]; +tmpR2[19] = +tmpObjS[211]; +tmpR2[20] = +tmpObjS[212]; +tmpR2[21] = +tmpObjS[213]; +tmpR2[22] = +tmpObjS[214]; +tmpR2[23] = +tmpObjS[215]; +tmpR2[24] = +tmpObjS[216]; +tmpR2[25] = +tmpObjS[217]; +tmpR2[26] = +tmpObjS[218]; +tmpR2[27] = +tmpObjS[219]; +tmpR2[28] = +tmpObjS[220]; +tmpR2[29] = +tmpObjS[221]; +tmpR2[30] = +tmpObjS[222]; +tmpR2[31] = +tmpObjS[223]; +tmpR2[32] = +tmpObjS[224]; +tmpR2[33] = +tmpObjS[225]; +tmpR2[34] = +tmpObjS[226]; +tmpR2[35] = +tmpObjS[227]; +tmpR2[36] = +tmpObjS[228]; +tmpR2[37] = +tmpObjS[229]; +tmpR2[38] = +tmpObjS[230]; +tmpR2[39] = +tmpObjS[231]; +tmpR2[40] = +tmpObjS[232]; +tmpR2[41] = +tmpObjS[233]; +tmpR2[42] = +tmpObjS[234]; +tmpR2[43] = +tmpObjS[235]; +tmpR2[44] = +tmpObjS[236]; +tmpR2[45] = +tmpObjS[237]; +tmpR2[46] = +tmpObjS[238]; +tmpR2[47] = +tmpObjS[239]; +tmpR2[48] = +tmpObjS[240]; +tmpR2[49] = +tmpObjS[241]; +tmpR2[50] = +tmpObjS[242]; +tmpR2[51] = +tmpObjS[243]; +tmpR2[52] = +tmpObjS[244]; +tmpR2[53] = +tmpObjS[245]; +tmpR2[54] = +tmpObjS[246]; +tmpR2[55] = +tmpObjS[247]; +tmpR2[56] = +tmpObjS[248]; +tmpR2[57] = +tmpObjS[249]; +tmpR2[58] = +tmpObjS[250]; +tmpR2[59] = +tmpObjS[251]; +tmpR2[60] = +tmpObjS[252]; +tmpR2[61] = +tmpObjS[253]; +tmpR2[62] = +tmpObjS[254]; +tmpR2[63] = +tmpObjS[255]; +tmpR1[0] = + tmpR2[12]; +tmpR1[1] = + tmpR2[13]; +tmpR1[2] = + tmpR2[14]; +tmpR1[3] = + tmpR2[15]; +tmpR1[4] = + tmpR2[28]; +tmpR1[5] = + tmpR2[29]; +tmpR1[6] = + tmpR2[30]; +tmpR1[7] = + tmpR2[31]; +tmpR1[8] = + tmpR2[44]; +tmpR1[9] = + tmpR2[45]; +tmpR1[10] = + tmpR2[46]; +tmpR1[11] = + tmpR2[47]; +tmpR1[12] = + tmpR2[60]; +tmpR1[13] = + tmpR2[61]; +tmpR1[14] = + tmpR2[62]; +tmpR1[15] = + tmpR2[63]; +} + +void acado_setObjQN1QN2( real_t* const tmpObjSEndTerm, real_t* const tmpQN1, real_t* const tmpQN2 ) +{ +tmpQN2[0] = +tmpObjSEndTerm[0]; +tmpQN2[1] = +tmpObjSEndTerm[1]; +tmpQN2[2] = +tmpObjSEndTerm[2]; +tmpQN2[3] = +tmpObjSEndTerm[3]; +tmpQN2[4] = +tmpObjSEndTerm[4]; +tmpQN2[5] = +tmpObjSEndTerm[5]; +tmpQN2[6] = +tmpObjSEndTerm[6]; +tmpQN2[7] = +tmpObjSEndTerm[7]; +tmpQN2[8] = +tmpObjSEndTerm[8]; +tmpQN2[9] = +tmpObjSEndTerm[9]; +tmpQN2[10] = +tmpObjSEndTerm[10]; +tmpQN2[11] = +tmpObjSEndTerm[11]; +tmpQN2[12] = +tmpObjSEndTerm[12]; +tmpQN2[13] = +tmpObjSEndTerm[13]; +tmpQN2[14] = +tmpObjSEndTerm[14]; +tmpQN2[15] = +tmpObjSEndTerm[15]; +tmpQN2[16] = +tmpObjSEndTerm[16]; +tmpQN2[17] = +tmpObjSEndTerm[17]; +tmpQN2[18] = +tmpObjSEndTerm[18]; +tmpQN2[19] = +tmpObjSEndTerm[19]; +tmpQN2[20] = +tmpObjSEndTerm[20]; +tmpQN2[21] = +tmpObjSEndTerm[21]; +tmpQN2[22] = +tmpObjSEndTerm[22]; +tmpQN2[23] = +tmpObjSEndTerm[23]; +tmpQN2[24] = +tmpObjSEndTerm[24]; +tmpQN2[25] = +tmpObjSEndTerm[25]; +tmpQN2[26] = +tmpObjSEndTerm[26]; +tmpQN2[27] = +tmpObjSEndTerm[27]; +tmpQN2[28] = +tmpObjSEndTerm[28]; +tmpQN2[29] = +tmpObjSEndTerm[29]; +tmpQN2[30] = +tmpObjSEndTerm[30]; +tmpQN2[31] = +tmpObjSEndTerm[31]; +tmpQN2[32] = +tmpObjSEndTerm[32]; +tmpQN2[33] = +tmpObjSEndTerm[33]; +tmpQN2[34] = +tmpObjSEndTerm[34]; +tmpQN2[35] = +tmpObjSEndTerm[35]; +tmpQN2[36] = 0.0; +; +tmpQN2[37] = 0.0; +; +tmpQN2[38] = 0.0; +; +tmpQN2[39] = 0.0; +; +tmpQN2[40] = 0.0; +; +tmpQN2[41] = 0.0; +; +tmpQN2[42] = 0.0; +; +tmpQN2[43] = 0.0; +; +tmpQN2[44] = 0.0; +; +tmpQN2[45] = 0.0; +; +tmpQN2[46] = 0.0; +; +tmpQN2[47] = 0.0; +; +tmpQN2[48] = 0.0; +; +tmpQN2[49] = 0.0; +; +tmpQN2[50] = 0.0; +; +tmpQN2[51] = 0.0; +; +tmpQN2[52] = 0.0; +; +tmpQN2[53] = 0.0; +; +tmpQN2[54] = 0.0; +; +tmpQN2[55] = 0.0; +; +tmpQN2[56] = 0.0; +; +tmpQN2[57] = 0.0; +; +tmpQN2[58] = 0.0; +; +tmpQN2[59] = 0.0; +; +tmpQN2[60] = 0.0; +; +tmpQN2[61] = 0.0; +; +tmpQN2[62] = 0.0; +; +tmpQN2[63] = 0.0; +; +tmpQN2[64] = 0.0; +; +tmpQN2[65] = 0.0; +; +tmpQN2[66] = 0.0; +; +tmpQN2[67] = 0.0; +; +tmpQN2[68] = 0.0; +; +tmpQN2[69] = 0.0; +; +tmpQN2[70] = 0.0; +; +tmpQN2[71] = 0.0; +; +tmpQN1[0] = + tmpQN2[0]; +tmpQN1[1] = + tmpQN2[1]; +tmpQN1[2] = + tmpQN2[2]; +tmpQN1[3] = + tmpQN2[3]; +tmpQN1[4] = + tmpQN2[4]; +tmpQN1[5] = + tmpQN2[5]; +tmpQN1[6] = 0.0; +; +tmpQN1[7] = 0.0; +; +tmpQN1[8] = 0.0; +; +tmpQN1[9] = 0.0; +; +tmpQN1[10] = 0.0; +; +tmpQN1[11] = 0.0; +; +tmpQN1[12] = + tmpQN2[6]; +tmpQN1[13] = + tmpQN2[7]; +tmpQN1[14] = + tmpQN2[8]; +tmpQN1[15] = + tmpQN2[9]; +tmpQN1[16] = + tmpQN2[10]; +tmpQN1[17] = + tmpQN2[11]; +tmpQN1[18] = 0.0; +; +tmpQN1[19] = 0.0; +; +tmpQN1[20] = 0.0; +; +tmpQN1[21] = 0.0; +; +tmpQN1[22] = 0.0; +; +tmpQN1[23] = 0.0; +; +tmpQN1[24] = + tmpQN2[12]; +tmpQN1[25] = + tmpQN2[13]; +tmpQN1[26] = + tmpQN2[14]; +tmpQN1[27] = + tmpQN2[15]; +tmpQN1[28] = + tmpQN2[16]; +tmpQN1[29] = + tmpQN2[17]; +tmpQN1[30] = 0.0; +; +tmpQN1[31] = 0.0; +; +tmpQN1[32] = 0.0; +; +tmpQN1[33] = 0.0; +; +tmpQN1[34] = 0.0; +; +tmpQN1[35] = 0.0; +; +tmpQN1[36] = + tmpQN2[18]; +tmpQN1[37] = + tmpQN2[19]; +tmpQN1[38] = + tmpQN2[20]; +tmpQN1[39] = + tmpQN2[21]; +tmpQN1[40] = + tmpQN2[22]; +tmpQN1[41] = + tmpQN2[23]; +tmpQN1[42] = 0.0; +; +tmpQN1[43] = 0.0; +; +tmpQN1[44] = 0.0; +; +tmpQN1[45] = 0.0; +; +tmpQN1[46] = 0.0; +; +tmpQN1[47] = 0.0; +; +tmpQN1[48] = + tmpQN2[24]; +tmpQN1[49] = + tmpQN2[25]; +tmpQN1[50] = + tmpQN2[26]; +tmpQN1[51] = + tmpQN2[27]; +tmpQN1[52] = + tmpQN2[28]; +tmpQN1[53] = + tmpQN2[29]; +tmpQN1[54] = 0.0; +; +tmpQN1[55] = 0.0; +; +tmpQN1[56] = 0.0; +; +tmpQN1[57] = 0.0; +; +tmpQN1[58] = 0.0; +; +tmpQN1[59] = 0.0; +; +tmpQN1[60] = + tmpQN2[30]; +tmpQN1[61] = + tmpQN2[31]; +tmpQN1[62] = + tmpQN2[32]; +tmpQN1[63] = + tmpQN2[33]; +tmpQN1[64] = + tmpQN2[34]; +tmpQN1[65] = + tmpQN2[35]; +tmpQN1[66] = 0.0; +; +tmpQN1[67] = 0.0; +; +tmpQN1[68] = 0.0; +; +tmpQN1[69] = 0.0; +; +tmpQN1[70] = 0.0; +; +tmpQN1[71] = 0.0; +; +tmpQN1[72] = + tmpQN2[36]; +tmpQN1[73] = + tmpQN2[37]; +tmpQN1[74] = + tmpQN2[38]; +tmpQN1[75] = + tmpQN2[39]; +tmpQN1[76] = + tmpQN2[40]; +tmpQN1[77] = + tmpQN2[41]; +tmpQN1[78] = 0.0; +; +tmpQN1[79] = 0.0; +; +tmpQN1[80] = 0.0; +; +tmpQN1[81] = 0.0; +; +tmpQN1[82] = 0.0; +; +tmpQN1[83] = 0.0; +; +tmpQN1[84] = + tmpQN2[42]; +tmpQN1[85] = + tmpQN2[43]; +tmpQN1[86] = + tmpQN2[44]; +tmpQN1[87] = + tmpQN2[45]; +tmpQN1[88] = + tmpQN2[46]; +tmpQN1[89] = + tmpQN2[47]; +tmpQN1[90] = 0.0; +; +tmpQN1[91] = 0.0; +; +tmpQN1[92] = 0.0; +; +tmpQN1[93] = 0.0; +; +tmpQN1[94] = 0.0; +; +tmpQN1[95] = 0.0; +; +tmpQN1[96] = + tmpQN2[48]; +tmpQN1[97] = + tmpQN2[49]; +tmpQN1[98] = + tmpQN2[50]; +tmpQN1[99] = + tmpQN2[51]; +tmpQN1[100] = + tmpQN2[52]; +tmpQN1[101] = + tmpQN2[53]; +tmpQN1[102] = 0.0; +; +tmpQN1[103] = 0.0; +; +tmpQN1[104] = 0.0; +; +tmpQN1[105] = 0.0; +; +tmpQN1[106] = 0.0; +; +tmpQN1[107] = 0.0; +; +tmpQN1[108] = + tmpQN2[54]; +tmpQN1[109] = + tmpQN2[55]; +tmpQN1[110] = + tmpQN2[56]; +tmpQN1[111] = + tmpQN2[57]; +tmpQN1[112] = + tmpQN2[58]; +tmpQN1[113] = + tmpQN2[59]; +tmpQN1[114] = 0.0; +; +tmpQN1[115] = 0.0; +; +tmpQN1[116] = 0.0; +; +tmpQN1[117] = 0.0; +; +tmpQN1[118] = 0.0; +; +tmpQN1[119] = 0.0; +; +tmpQN1[120] = + tmpQN2[60]; +tmpQN1[121] = + tmpQN2[61]; +tmpQN1[122] = + tmpQN2[62]; +tmpQN1[123] = + tmpQN2[63]; +tmpQN1[124] = + tmpQN2[64]; +tmpQN1[125] = + tmpQN2[65]; +tmpQN1[126] = 0.0; +; +tmpQN1[127] = 0.0; +; +tmpQN1[128] = 0.0; +; +tmpQN1[129] = 0.0; +; +tmpQN1[130] = 0.0; +; +tmpQN1[131] = 0.0; +; +tmpQN1[132] = + tmpQN2[66]; +tmpQN1[133] = + tmpQN2[67]; +tmpQN1[134] = + tmpQN2[68]; +tmpQN1[135] = + tmpQN2[69]; +tmpQN1[136] = + tmpQN2[70]; +tmpQN1[137] = + tmpQN2[71]; +tmpQN1[138] = 0.0; +; +tmpQN1[139] = 0.0; +; +tmpQN1[140] = 0.0; +; +tmpQN1[141] = 0.0; +; +tmpQN1[142] = 0.0; +; +tmpQN1[143] = 0.0; +; +} + +void acado_evaluateObjective( ) +{ +int runObj; +for (runObj = 0; runObj < 20; ++runObj) +{ +acadoWorkspace.objValueIn[0] = acadoVariables.x[runObj * 12]; +acadoWorkspace.objValueIn[1] = acadoVariables.x[runObj * 12 + 1]; +acadoWorkspace.objValueIn[2] = acadoVariables.x[runObj * 12 + 2]; +acadoWorkspace.objValueIn[3] = acadoVariables.x[runObj * 12 + 3]; +acadoWorkspace.objValueIn[4] = acadoVariables.x[runObj * 12 + 4]; +acadoWorkspace.objValueIn[5] = acadoVariables.x[runObj * 12 + 5]; +acadoWorkspace.objValueIn[6] = acadoVariables.x[runObj * 12 + 6]; +acadoWorkspace.objValueIn[7] = acadoVariables.x[runObj * 12 + 7]; +acadoWorkspace.objValueIn[8] = acadoVariables.x[runObj * 12 + 8]; +acadoWorkspace.objValueIn[9] = acadoVariables.x[runObj * 12 + 9]; +acadoWorkspace.objValueIn[10] = acadoVariables.x[runObj * 12 + 10]; +acadoWorkspace.objValueIn[11] = acadoVariables.x[runObj * 12 + 11]; +acadoWorkspace.objValueIn[12] = acadoVariables.u[runObj * 4]; +acadoWorkspace.objValueIn[13] = acadoVariables.u[runObj * 4 + 1]; +acadoWorkspace.objValueIn[14] = acadoVariables.u[runObj * 4 + 2]; +acadoWorkspace.objValueIn[15] = acadoVariables.u[runObj * 4 + 3]; +acadoWorkspace.objValueIn[16] = acadoVariables.od[runObj * 11]; +acadoWorkspace.objValueIn[17] = acadoVariables.od[runObj * 11 + 1]; +acadoWorkspace.objValueIn[18] = acadoVariables.od[runObj * 11 + 2]; +acadoWorkspace.objValueIn[19] = acadoVariables.od[runObj * 11 + 3]; +acadoWorkspace.objValueIn[20] = acadoVariables.od[runObj * 11 + 4]; +acadoWorkspace.objValueIn[21] = acadoVariables.od[runObj * 11 + 5]; +acadoWorkspace.objValueIn[22] = acadoVariables.od[runObj * 11 + 6]; +acadoWorkspace.objValueIn[23] = acadoVariables.od[runObj * 11 + 7]; +acadoWorkspace.objValueIn[24] = acadoVariables.od[runObj * 11 + 8]; +acadoWorkspace.objValueIn[25] = acadoVariables.od[runObj * 11 + 9]; +acadoWorkspace.objValueIn[26] = acadoVariables.od[runObj * 11 + 10]; + +acado_evaluateLSQ( acadoWorkspace.objValueIn, acadoWorkspace.objValueOut ); +acadoWorkspace.Dy[runObj * 16] = acadoWorkspace.objValueOut[0]; +acadoWorkspace.Dy[runObj * 16 + 1] = acadoWorkspace.objValueOut[1]; +acadoWorkspace.Dy[runObj * 16 + 2] = acadoWorkspace.objValueOut[2]; +acadoWorkspace.Dy[runObj * 16 + 3] = acadoWorkspace.objValueOut[3]; +acadoWorkspace.Dy[runObj * 16 + 4] = acadoWorkspace.objValueOut[4]; +acadoWorkspace.Dy[runObj * 16 + 5] = acadoWorkspace.objValueOut[5]; +acadoWorkspace.Dy[runObj * 16 + 6] = acadoWorkspace.objValueOut[6]; +acadoWorkspace.Dy[runObj * 16 + 7] = acadoWorkspace.objValueOut[7]; +acadoWorkspace.Dy[runObj * 16 + 8] = acadoWorkspace.objValueOut[8]; +acadoWorkspace.Dy[runObj * 16 + 9] = acadoWorkspace.objValueOut[9]; +acadoWorkspace.Dy[runObj * 16 + 10] = acadoWorkspace.objValueOut[10]; +acadoWorkspace.Dy[runObj * 16 + 11] = acadoWorkspace.objValueOut[11]; +acadoWorkspace.Dy[runObj * 16 + 12] = acadoWorkspace.objValueOut[12]; +acadoWorkspace.Dy[runObj * 16 + 13] = acadoWorkspace.objValueOut[13]; +acadoWorkspace.Dy[runObj * 16 + 14] = acadoWorkspace.objValueOut[14]; +acadoWorkspace.Dy[runObj * 16 + 15] = acadoWorkspace.objValueOut[15]; + +acado_setObjQ1Q2( acadoVariables.W, &(acadoWorkspace.Q1[ runObj * 144 ]), &(acadoWorkspace.Q2[ runObj * 192 ]) ); + +acado_setObjR1R2( acadoVariables.W, &(acadoWorkspace.R1[ runObj * 16 ]), &(acadoWorkspace.R2[ runObj * 64 ]) ); + +} +acadoWorkspace.objValueIn[0] = acadoVariables.x[240]; +acadoWorkspace.objValueIn[1] = acadoVariables.x[241]; +acadoWorkspace.objValueIn[2] = acadoVariables.x[242]; +acadoWorkspace.objValueIn[3] = acadoVariables.x[243]; +acadoWorkspace.objValueIn[4] = acadoVariables.x[244]; +acadoWorkspace.objValueIn[5] = acadoVariables.x[245]; +acadoWorkspace.objValueIn[6] = acadoVariables.x[246]; +acadoWorkspace.objValueIn[7] = acadoVariables.x[247]; +acadoWorkspace.objValueIn[8] = acadoVariables.x[248]; +acadoWorkspace.objValueIn[9] = acadoVariables.x[249]; +acadoWorkspace.objValueIn[10] = acadoVariables.x[250]; +acadoWorkspace.objValueIn[11] = acadoVariables.x[251]; +acadoWorkspace.objValueIn[12] = acadoVariables.od[220]; +acadoWorkspace.objValueIn[13] = acadoVariables.od[221]; +acadoWorkspace.objValueIn[14] = acadoVariables.od[222]; +acadoWorkspace.objValueIn[15] = acadoVariables.od[223]; +acadoWorkspace.objValueIn[16] = acadoVariables.od[224]; +acadoWorkspace.objValueIn[17] = acadoVariables.od[225]; +acadoWorkspace.objValueIn[18] = acadoVariables.od[226]; +acadoWorkspace.objValueIn[19] = acadoVariables.od[227]; +acadoWorkspace.objValueIn[20] = acadoVariables.od[228]; +acadoWorkspace.objValueIn[21] = acadoVariables.od[229]; +acadoWorkspace.objValueIn[22] = acadoVariables.od[230]; +acado_evaluateLSQEndTerm( acadoWorkspace.objValueIn, acadoWorkspace.objValueOut ); + +acadoWorkspace.DyN[0] = acadoWorkspace.objValueOut[0]; +acadoWorkspace.DyN[1] = acadoWorkspace.objValueOut[1]; +acadoWorkspace.DyN[2] = acadoWorkspace.objValueOut[2]; +acadoWorkspace.DyN[3] = acadoWorkspace.objValueOut[3]; +acadoWorkspace.DyN[4] = acadoWorkspace.objValueOut[4]; +acadoWorkspace.DyN[5] = acadoWorkspace.objValueOut[5]; + +acado_setObjQN1QN2( acadoVariables.WN, acadoWorkspace.QN1, acadoWorkspace.QN2 ); + +} + +void acado_multGxGu( real_t* const Gx1, real_t* const Gu1, real_t* const Gu2 ) +{ +Gu2[0] = + Gx1[0]*Gu1[0] + Gx1[1]*Gu1[4] + Gx1[2]*Gu1[8] + Gx1[3]*Gu1[12] + Gx1[4]*Gu1[16] + Gx1[5]*Gu1[20] + Gx1[6]*Gu1[24] + Gx1[7]*Gu1[28] + Gx1[8]*Gu1[32] + Gx1[9]*Gu1[36] + Gx1[10]*Gu1[40] + Gx1[11]*Gu1[44]; +Gu2[1] = + Gx1[0]*Gu1[1] + Gx1[1]*Gu1[5] + Gx1[2]*Gu1[9] + Gx1[3]*Gu1[13] + Gx1[4]*Gu1[17] + Gx1[5]*Gu1[21] + Gx1[6]*Gu1[25] + Gx1[7]*Gu1[29] + Gx1[8]*Gu1[33] + Gx1[9]*Gu1[37] + Gx1[10]*Gu1[41] + Gx1[11]*Gu1[45]; +Gu2[2] = + Gx1[0]*Gu1[2] + Gx1[1]*Gu1[6] + Gx1[2]*Gu1[10] + Gx1[3]*Gu1[14] + Gx1[4]*Gu1[18] + Gx1[5]*Gu1[22] + Gx1[6]*Gu1[26] + Gx1[7]*Gu1[30] + Gx1[8]*Gu1[34] + Gx1[9]*Gu1[38] + Gx1[10]*Gu1[42] + Gx1[11]*Gu1[46]; +Gu2[3] = + Gx1[0]*Gu1[3] + Gx1[1]*Gu1[7] + Gx1[2]*Gu1[11] + Gx1[3]*Gu1[15] + Gx1[4]*Gu1[19] + Gx1[5]*Gu1[23] + Gx1[6]*Gu1[27] + Gx1[7]*Gu1[31] + Gx1[8]*Gu1[35] + Gx1[9]*Gu1[39] + Gx1[10]*Gu1[43] + Gx1[11]*Gu1[47]; +Gu2[4] = + Gx1[12]*Gu1[0] + Gx1[13]*Gu1[4] + Gx1[14]*Gu1[8] + Gx1[15]*Gu1[12] + Gx1[16]*Gu1[16] + Gx1[17]*Gu1[20] + Gx1[18]*Gu1[24] + Gx1[19]*Gu1[28] + Gx1[20]*Gu1[32] + Gx1[21]*Gu1[36] + Gx1[22]*Gu1[40] + Gx1[23]*Gu1[44]; +Gu2[5] = + Gx1[12]*Gu1[1] + Gx1[13]*Gu1[5] + Gx1[14]*Gu1[9] + Gx1[15]*Gu1[13] + Gx1[16]*Gu1[17] + Gx1[17]*Gu1[21] + Gx1[18]*Gu1[25] + Gx1[19]*Gu1[29] + Gx1[20]*Gu1[33] + Gx1[21]*Gu1[37] + Gx1[22]*Gu1[41] + Gx1[23]*Gu1[45]; +Gu2[6] = + Gx1[12]*Gu1[2] + Gx1[13]*Gu1[6] + Gx1[14]*Gu1[10] + Gx1[15]*Gu1[14] + Gx1[16]*Gu1[18] + Gx1[17]*Gu1[22] + Gx1[18]*Gu1[26] + Gx1[19]*Gu1[30] + Gx1[20]*Gu1[34] + Gx1[21]*Gu1[38] + Gx1[22]*Gu1[42] + Gx1[23]*Gu1[46]; +Gu2[7] = + Gx1[12]*Gu1[3] + Gx1[13]*Gu1[7] + Gx1[14]*Gu1[11] + Gx1[15]*Gu1[15] + Gx1[16]*Gu1[19] + Gx1[17]*Gu1[23] + Gx1[18]*Gu1[27] + Gx1[19]*Gu1[31] + Gx1[20]*Gu1[35] + Gx1[21]*Gu1[39] + Gx1[22]*Gu1[43] + Gx1[23]*Gu1[47]; +Gu2[8] = + Gx1[24]*Gu1[0] + Gx1[25]*Gu1[4] + Gx1[26]*Gu1[8] + Gx1[27]*Gu1[12] + Gx1[28]*Gu1[16] + Gx1[29]*Gu1[20] + Gx1[30]*Gu1[24] + Gx1[31]*Gu1[28] + Gx1[32]*Gu1[32] + Gx1[33]*Gu1[36] + Gx1[34]*Gu1[40] + Gx1[35]*Gu1[44]; +Gu2[9] = + Gx1[24]*Gu1[1] + Gx1[25]*Gu1[5] + Gx1[26]*Gu1[9] + Gx1[27]*Gu1[13] + Gx1[28]*Gu1[17] + Gx1[29]*Gu1[21] + Gx1[30]*Gu1[25] + Gx1[31]*Gu1[29] + Gx1[32]*Gu1[33] + Gx1[33]*Gu1[37] + Gx1[34]*Gu1[41] + Gx1[35]*Gu1[45]; +Gu2[10] = + Gx1[24]*Gu1[2] + Gx1[25]*Gu1[6] + Gx1[26]*Gu1[10] + Gx1[27]*Gu1[14] + Gx1[28]*Gu1[18] + Gx1[29]*Gu1[22] + Gx1[30]*Gu1[26] + Gx1[31]*Gu1[30] + Gx1[32]*Gu1[34] + Gx1[33]*Gu1[38] + Gx1[34]*Gu1[42] + Gx1[35]*Gu1[46]; +Gu2[11] = + Gx1[24]*Gu1[3] + Gx1[25]*Gu1[7] + Gx1[26]*Gu1[11] + Gx1[27]*Gu1[15] + Gx1[28]*Gu1[19] + Gx1[29]*Gu1[23] + Gx1[30]*Gu1[27] + Gx1[31]*Gu1[31] + Gx1[32]*Gu1[35] + Gx1[33]*Gu1[39] + Gx1[34]*Gu1[43] + Gx1[35]*Gu1[47]; +Gu2[12] = + Gx1[36]*Gu1[0] + Gx1[37]*Gu1[4] + Gx1[38]*Gu1[8] + Gx1[39]*Gu1[12] + Gx1[40]*Gu1[16] + Gx1[41]*Gu1[20] + Gx1[42]*Gu1[24] + Gx1[43]*Gu1[28] + Gx1[44]*Gu1[32] + Gx1[45]*Gu1[36] + Gx1[46]*Gu1[40] + Gx1[47]*Gu1[44]; +Gu2[13] = + Gx1[36]*Gu1[1] + Gx1[37]*Gu1[5] + Gx1[38]*Gu1[9] + Gx1[39]*Gu1[13] + Gx1[40]*Gu1[17] + Gx1[41]*Gu1[21] + Gx1[42]*Gu1[25] + Gx1[43]*Gu1[29] + Gx1[44]*Gu1[33] + Gx1[45]*Gu1[37] + Gx1[46]*Gu1[41] + Gx1[47]*Gu1[45]; +Gu2[14] = + Gx1[36]*Gu1[2] + Gx1[37]*Gu1[6] + Gx1[38]*Gu1[10] + Gx1[39]*Gu1[14] + Gx1[40]*Gu1[18] + Gx1[41]*Gu1[22] + Gx1[42]*Gu1[26] + Gx1[43]*Gu1[30] + Gx1[44]*Gu1[34] + Gx1[45]*Gu1[38] + Gx1[46]*Gu1[42] + Gx1[47]*Gu1[46]; +Gu2[15] = + Gx1[36]*Gu1[3] + Gx1[37]*Gu1[7] + Gx1[38]*Gu1[11] + Gx1[39]*Gu1[15] + Gx1[40]*Gu1[19] + Gx1[41]*Gu1[23] + Gx1[42]*Gu1[27] + Gx1[43]*Gu1[31] + Gx1[44]*Gu1[35] + Gx1[45]*Gu1[39] + Gx1[46]*Gu1[43] + Gx1[47]*Gu1[47]; +Gu2[16] = + Gx1[48]*Gu1[0] + Gx1[49]*Gu1[4] + Gx1[50]*Gu1[8] + Gx1[51]*Gu1[12] + Gx1[52]*Gu1[16] + Gx1[53]*Gu1[20] + Gx1[54]*Gu1[24] + Gx1[55]*Gu1[28] + Gx1[56]*Gu1[32] + Gx1[57]*Gu1[36] + Gx1[58]*Gu1[40] + Gx1[59]*Gu1[44]; +Gu2[17] = + Gx1[48]*Gu1[1] + Gx1[49]*Gu1[5] + Gx1[50]*Gu1[9] + Gx1[51]*Gu1[13] + Gx1[52]*Gu1[17] + Gx1[53]*Gu1[21] + Gx1[54]*Gu1[25] + Gx1[55]*Gu1[29] + Gx1[56]*Gu1[33] + Gx1[57]*Gu1[37] + Gx1[58]*Gu1[41] + Gx1[59]*Gu1[45]; +Gu2[18] = + Gx1[48]*Gu1[2] + Gx1[49]*Gu1[6] + Gx1[50]*Gu1[10] + Gx1[51]*Gu1[14] + Gx1[52]*Gu1[18] + Gx1[53]*Gu1[22] + Gx1[54]*Gu1[26] + Gx1[55]*Gu1[30] + Gx1[56]*Gu1[34] + Gx1[57]*Gu1[38] + Gx1[58]*Gu1[42] + Gx1[59]*Gu1[46]; +Gu2[19] = + Gx1[48]*Gu1[3] + Gx1[49]*Gu1[7] + Gx1[50]*Gu1[11] + Gx1[51]*Gu1[15] + Gx1[52]*Gu1[19] + Gx1[53]*Gu1[23] + Gx1[54]*Gu1[27] + Gx1[55]*Gu1[31] + Gx1[56]*Gu1[35] + Gx1[57]*Gu1[39] + Gx1[58]*Gu1[43] + Gx1[59]*Gu1[47]; +Gu2[20] = + Gx1[60]*Gu1[0] + Gx1[61]*Gu1[4] + Gx1[62]*Gu1[8] + Gx1[63]*Gu1[12] + Gx1[64]*Gu1[16] + Gx1[65]*Gu1[20] + Gx1[66]*Gu1[24] + Gx1[67]*Gu1[28] + Gx1[68]*Gu1[32] + Gx1[69]*Gu1[36] + Gx1[70]*Gu1[40] + Gx1[71]*Gu1[44]; +Gu2[21] = + Gx1[60]*Gu1[1] + Gx1[61]*Gu1[5] + Gx1[62]*Gu1[9] + Gx1[63]*Gu1[13] + Gx1[64]*Gu1[17] + Gx1[65]*Gu1[21] + Gx1[66]*Gu1[25] + Gx1[67]*Gu1[29] + Gx1[68]*Gu1[33] + Gx1[69]*Gu1[37] + Gx1[70]*Gu1[41] + Gx1[71]*Gu1[45]; +Gu2[22] = + Gx1[60]*Gu1[2] + Gx1[61]*Gu1[6] + Gx1[62]*Gu1[10] + Gx1[63]*Gu1[14] + Gx1[64]*Gu1[18] + Gx1[65]*Gu1[22] + Gx1[66]*Gu1[26] + Gx1[67]*Gu1[30] + Gx1[68]*Gu1[34] + Gx1[69]*Gu1[38] + Gx1[70]*Gu1[42] + Gx1[71]*Gu1[46]; +Gu2[23] = + Gx1[60]*Gu1[3] + Gx1[61]*Gu1[7] + Gx1[62]*Gu1[11] + Gx1[63]*Gu1[15] + Gx1[64]*Gu1[19] + Gx1[65]*Gu1[23] + Gx1[66]*Gu1[27] + Gx1[67]*Gu1[31] + Gx1[68]*Gu1[35] + Gx1[69]*Gu1[39] + Gx1[70]*Gu1[43] + Gx1[71]*Gu1[47]; +Gu2[24] = + Gx1[72]*Gu1[0] + Gx1[73]*Gu1[4] + Gx1[74]*Gu1[8] + Gx1[75]*Gu1[12] + Gx1[76]*Gu1[16] + Gx1[77]*Gu1[20] + Gx1[78]*Gu1[24] + Gx1[79]*Gu1[28] + Gx1[80]*Gu1[32] + Gx1[81]*Gu1[36] + Gx1[82]*Gu1[40] + Gx1[83]*Gu1[44]; +Gu2[25] = + Gx1[72]*Gu1[1] + Gx1[73]*Gu1[5] + Gx1[74]*Gu1[9] + Gx1[75]*Gu1[13] + Gx1[76]*Gu1[17] + Gx1[77]*Gu1[21] + Gx1[78]*Gu1[25] + Gx1[79]*Gu1[29] + Gx1[80]*Gu1[33] + Gx1[81]*Gu1[37] + Gx1[82]*Gu1[41] + Gx1[83]*Gu1[45]; +Gu2[26] = + Gx1[72]*Gu1[2] + Gx1[73]*Gu1[6] + Gx1[74]*Gu1[10] + Gx1[75]*Gu1[14] + Gx1[76]*Gu1[18] + Gx1[77]*Gu1[22] + Gx1[78]*Gu1[26] + Gx1[79]*Gu1[30] + Gx1[80]*Gu1[34] + Gx1[81]*Gu1[38] + Gx1[82]*Gu1[42] + Gx1[83]*Gu1[46]; +Gu2[27] = + Gx1[72]*Gu1[3] + Gx1[73]*Gu1[7] + Gx1[74]*Gu1[11] + Gx1[75]*Gu1[15] + Gx1[76]*Gu1[19] + Gx1[77]*Gu1[23] + Gx1[78]*Gu1[27] + Gx1[79]*Gu1[31] + Gx1[80]*Gu1[35] + Gx1[81]*Gu1[39] + Gx1[82]*Gu1[43] + Gx1[83]*Gu1[47]; +Gu2[28] = + Gx1[84]*Gu1[0] + Gx1[85]*Gu1[4] + Gx1[86]*Gu1[8] + Gx1[87]*Gu1[12] + Gx1[88]*Gu1[16] + Gx1[89]*Gu1[20] + Gx1[90]*Gu1[24] + Gx1[91]*Gu1[28] + Gx1[92]*Gu1[32] + Gx1[93]*Gu1[36] + Gx1[94]*Gu1[40] + Gx1[95]*Gu1[44]; +Gu2[29] = + Gx1[84]*Gu1[1] + Gx1[85]*Gu1[5] + Gx1[86]*Gu1[9] + Gx1[87]*Gu1[13] + Gx1[88]*Gu1[17] + Gx1[89]*Gu1[21] + Gx1[90]*Gu1[25] + Gx1[91]*Gu1[29] + Gx1[92]*Gu1[33] + Gx1[93]*Gu1[37] + Gx1[94]*Gu1[41] + Gx1[95]*Gu1[45]; +Gu2[30] = + Gx1[84]*Gu1[2] + Gx1[85]*Gu1[6] + Gx1[86]*Gu1[10] + Gx1[87]*Gu1[14] + Gx1[88]*Gu1[18] + Gx1[89]*Gu1[22] + Gx1[90]*Gu1[26] + Gx1[91]*Gu1[30] + Gx1[92]*Gu1[34] + Gx1[93]*Gu1[38] + Gx1[94]*Gu1[42] + Gx1[95]*Gu1[46]; +Gu2[31] = + Gx1[84]*Gu1[3] + Gx1[85]*Gu1[7] + Gx1[86]*Gu1[11] + Gx1[87]*Gu1[15] + Gx1[88]*Gu1[19] + Gx1[89]*Gu1[23] + Gx1[90]*Gu1[27] + Gx1[91]*Gu1[31] + Gx1[92]*Gu1[35] + Gx1[93]*Gu1[39] + Gx1[94]*Gu1[43] + Gx1[95]*Gu1[47]; +Gu2[32] = + Gx1[96]*Gu1[0] + Gx1[97]*Gu1[4] + Gx1[98]*Gu1[8] + Gx1[99]*Gu1[12] + Gx1[100]*Gu1[16] + Gx1[101]*Gu1[20] + Gx1[102]*Gu1[24] + Gx1[103]*Gu1[28] + Gx1[104]*Gu1[32] + Gx1[105]*Gu1[36] + Gx1[106]*Gu1[40] + Gx1[107]*Gu1[44]; +Gu2[33] = + Gx1[96]*Gu1[1] + Gx1[97]*Gu1[5] + Gx1[98]*Gu1[9] + Gx1[99]*Gu1[13] + Gx1[100]*Gu1[17] + Gx1[101]*Gu1[21] + Gx1[102]*Gu1[25] + Gx1[103]*Gu1[29] + Gx1[104]*Gu1[33] + Gx1[105]*Gu1[37] + Gx1[106]*Gu1[41] + Gx1[107]*Gu1[45]; +Gu2[34] = + Gx1[96]*Gu1[2] + Gx1[97]*Gu1[6] + Gx1[98]*Gu1[10] + Gx1[99]*Gu1[14] + Gx1[100]*Gu1[18] + Gx1[101]*Gu1[22] + Gx1[102]*Gu1[26] + Gx1[103]*Gu1[30] + Gx1[104]*Gu1[34] + Gx1[105]*Gu1[38] + Gx1[106]*Gu1[42] + Gx1[107]*Gu1[46]; +Gu2[35] = + Gx1[96]*Gu1[3] + Gx1[97]*Gu1[7] + Gx1[98]*Gu1[11] + Gx1[99]*Gu1[15] + Gx1[100]*Gu1[19] + Gx1[101]*Gu1[23] + Gx1[102]*Gu1[27] + Gx1[103]*Gu1[31] + Gx1[104]*Gu1[35] + Gx1[105]*Gu1[39] + Gx1[106]*Gu1[43] + Gx1[107]*Gu1[47]; +Gu2[36] = + Gx1[108]*Gu1[0] + Gx1[109]*Gu1[4] + Gx1[110]*Gu1[8] + Gx1[111]*Gu1[12] + Gx1[112]*Gu1[16] + Gx1[113]*Gu1[20] + Gx1[114]*Gu1[24] + Gx1[115]*Gu1[28] + Gx1[116]*Gu1[32] + Gx1[117]*Gu1[36] + Gx1[118]*Gu1[40] + Gx1[119]*Gu1[44]; +Gu2[37] = + Gx1[108]*Gu1[1] + Gx1[109]*Gu1[5] + Gx1[110]*Gu1[9] + Gx1[111]*Gu1[13] + Gx1[112]*Gu1[17] + Gx1[113]*Gu1[21] + Gx1[114]*Gu1[25] + Gx1[115]*Gu1[29] + Gx1[116]*Gu1[33] + Gx1[117]*Gu1[37] + Gx1[118]*Gu1[41] + Gx1[119]*Gu1[45]; +Gu2[38] = + Gx1[108]*Gu1[2] + Gx1[109]*Gu1[6] + Gx1[110]*Gu1[10] + Gx1[111]*Gu1[14] + Gx1[112]*Gu1[18] + Gx1[113]*Gu1[22] + Gx1[114]*Gu1[26] + Gx1[115]*Gu1[30] + Gx1[116]*Gu1[34] + Gx1[117]*Gu1[38] + Gx1[118]*Gu1[42] + Gx1[119]*Gu1[46]; +Gu2[39] = + Gx1[108]*Gu1[3] + Gx1[109]*Gu1[7] + Gx1[110]*Gu1[11] + Gx1[111]*Gu1[15] + Gx1[112]*Gu1[19] + Gx1[113]*Gu1[23] + Gx1[114]*Gu1[27] + Gx1[115]*Gu1[31] + Gx1[116]*Gu1[35] + Gx1[117]*Gu1[39] + Gx1[118]*Gu1[43] + Gx1[119]*Gu1[47]; +Gu2[40] = + Gx1[120]*Gu1[0] + Gx1[121]*Gu1[4] + Gx1[122]*Gu1[8] + Gx1[123]*Gu1[12] + Gx1[124]*Gu1[16] + Gx1[125]*Gu1[20] + Gx1[126]*Gu1[24] + Gx1[127]*Gu1[28] + Gx1[128]*Gu1[32] + Gx1[129]*Gu1[36] + Gx1[130]*Gu1[40] + Gx1[131]*Gu1[44]; +Gu2[41] = + Gx1[120]*Gu1[1] + Gx1[121]*Gu1[5] + Gx1[122]*Gu1[9] + Gx1[123]*Gu1[13] + Gx1[124]*Gu1[17] + Gx1[125]*Gu1[21] + Gx1[126]*Gu1[25] + Gx1[127]*Gu1[29] + Gx1[128]*Gu1[33] + Gx1[129]*Gu1[37] + Gx1[130]*Gu1[41] + Gx1[131]*Gu1[45]; +Gu2[42] = + Gx1[120]*Gu1[2] + Gx1[121]*Gu1[6] + Gx1[122]*Gu1[10] + Gx1[123]*Gu1[14] + Gx1[124]*Gu1[18] + Gx1[125]*Gu1[22] + Gx1[126]*Gu1[26] + Gx1[127]*Gu1[30] + Gx1[128]*Gu1[34] + Gx1[129]*Gu1[38] + Gx1[130]*Gu1[42] + Gx1[131]*Gu1[46]; +Gu2[43] = + Gx1[120]*Gu1[3] + Gx1[121]*Gu1[7] + Gx1[122]*Gu1[11] + Gx1[123]*Gu1[15] + Gx1[124]*Gu1[19] + Gx1[125]*Gu1[23] + Gx1[126]*Gu1[27] + Gx1[127]*Gu1[31] + Gx1[128]*Gu1[35] + Gx1[129]*Gu1[39] + Gx1[130]*Gu1[43] + Gx1[131]*Gu1[47]; +Gu2[44] = + Gx1[132]*Gu1[0] + Gx1[133]*Gu1[4] + Gx1[134]*Gu1[8] + Gx1[135]*Gu1[12] + Gx1[136]*Gu1[16] + Gx1[137]*Gu1[20] + Gx1[138]*Gu1[24] + Gx1[139]*Gu1[28] + Gx1[140]*Gu1[32] + Gx1[141]*Gu1[36] + Gx1[142]*Gu1[40] + Gx1[143]*Gu1[44]; +Gu2[45] = + Gx1[132]*Gu1[1] + Gx1[133]*Gu1[5] + Gx1[134]*Gu1[9] + Gx1[135]*Gu1[13] + Gx1[136]*Gu1[17] + Gx1[137]*Gu1[21] + Gx1[138]*Gu1[25] + Gx1[139]*Gu1[29] + Gx1[140]*Gu1[33] + Gx1[141]*Gu1[37] + Gx1[142]*Gu1[41] + Gx1[143]*Gu1[45]; +Gu2[46] = + Gx1[132]*Gu1[2] + Gx1[133]*Gu1[6] + Gx1[134]*Gu1[10] + Gx1[135]*Gu1[14] + Gx1[136]*Gu1[18] + Gx1[137]*Gu1[22] + Gx1[138]*Gu1[26] + Gx1[139]*Gu1[30] + Gx1[140]*Gu1[34] + Gx1[141]*Gu1[38] + Gx1[142]*Gu1[42] + Gx1[143]*Gu1[46]; +Gu2[47] = + Gx1[132]*Gu1[3] + Gx1[133]*Gu1[7] + Gx1[134]*Gu1[11] + Gx1[135]*Gu1[15] + Gx1[136]*Gu1[19] + Gx1[137]*Gu1[23] + Gx1[138]*Gu1[27] + Gx1[139]*Gu1[31] + Gx1[140]*Gu1[35] + Gx1[141]*Gu1[39] + Gx1[142]*Gu1[43] + Gx1[143]*Gu1[47]; +} + +void acado_moveGuE( real_t* const Gu1, real_t* const Gu2 ) +{ +Gu2[0] = Gu1[0]; +Gu2[1] = Gu1[1]; +Gu2[2] = Gu1[2]; +Gu2[3] = Gu1[3]; +Gu2[4] = Gu1[4]; +Gu2[5] = Gu1[5]; +Gu2[6] = Gu1[6]; +Gu2[7] = Gu1[7]; +Gu2[8] = Gu1[8]; +Gu2[9] = Gu1[9]; +Gu2[10] = Gu1[10]; +Gu2[11] = Gu1[11]; +Gu2[12] = Gu1[12]; +Gu2[13] = Gu1[13]; +Gu2[14] = Gu1[14]; +Gu2[15] = Gu1[15]; +Gu2[16] = Gu1[16]; +Gu2[17] = Gu1[17]; +Gu2[18] = Gu1[18]; +Gu2[19] = Gu1[19]; +Gu2[20] = Gu1[20]; +Gu2[21] = Gu1[21]; +Gu2[22] = Gu1[22]; +Gu2[23] = Gu1[23]; +Gu2[24] = Gu1[24]; +Gu2[25] = Gu1[25]; +Gu2[26] = Gu1[26]; +Gu2[27] = Gu1[27]; +Gu2[28] = Gu1[28]; +Gu2[29] = Gu1[29]; +Gu2[30] = Gu1[30]; +Gu2[31] = Gu1[31]; +Gu2[32] = Gu1[32]; +Gu2[33] = Gu1[33]; +Gu2[34] = Gu1[34]; +Gu2[35] = Gu1[35]; +Gu2[36] = Gu1[36]; +Gu2[37] = Gu1[37]; +Gu2[38] = Gu1[38]; +Gu2[39] = Gu1[39]; +Gu2[40] = Gu1[40]; +Gu2[41] = Gu1[41]; +Gu2[42] = Gu1[42]; +Gu2[43] = Gu1[43]; +Gu2[44] = Gu1[44]; +Gu2[45] = Gu1[45]; +Gu2[46] = Gu1[46]; +Gu2[47] = Gu1[47]; +} + +void acado_multBTW1( real_t* const Gu1, real_t* const Gu2, int iRow, int iCol ) +{ +acadoWorkspace.H[(iRow * 320) + (iCol * 4)] = + Gu1[0]*Gu2[0] + Gu1[4]*Gu2[4] + Gu1[8]*Gu2[8] + Gu1[12]*Gu2[12] + Gu1[16]*Gu2[16] + Gu1[20]*Gu2[20] + Gu1[24]*Gu2[24] + Gu1[28]*Gu2[28] + Gu1[32]*Gu2[32] + Gu1[36]*Gu2[36] + Gu1[40]*Gu2[40] + Gu1[44]*Gu2[44]; +acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 1)] = + Gu1[0]*Gu2[1] + Gu1[4]*Gu2[5] + Gu1[8]*Gu2[9] + Gu1[12]*Gu2[13] + Gu1[16]*Gu2[17] + Gu1[20]*Gu2[21] + Gu1[24]*Gu2[25] + Gu1[28]*Gu2[29] + Gu1[32]*Gu2[33] + Gu1[36]*Gu2[37] + Gu1[40]*Gu2[41] + Gu1[44]*Gu2[45]; +acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 2)] = + Gu1[0]*Gu2[2] + Gu1[4]*Gu2[6] + Gu1[8]*Gu2[10] + Gu1[12]*Gu2[14] + Gu1[16]*Gu2[18] + Gu1[20]*Gu2[22] + Gu1[24]*Gu2[26] + Gu1[28]*Gu2[30] + Gu1[32]*Gu2[34] + Gu1[36]*Gu2[38] + Gu1[40]*Gu2[42] + Gu1[44]*Gu2[46]; +acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 3)] = + Gu1[0]*Gu2[3] + Gu1[4]*Gu2[7] + Gu1[8]*Gu2[11] + Gu1[12]*Gu2[15] + Gu1[16]*Gu2[19] + Gu1[20]*Gu2[23] + Gu1[24]*Gu2[27] + Gu1[28]*Gu2[31] + Gu1[32]*Gu2[35] + Gu1[36]*Gu2[39] + Gu1[40]*Gu2[43] + Gu1[44]*Gu2[47]; +acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4)] = + Gu1[1]*Gu2[0] + Gu1[5]*Gu2[4] + Gu1[9]*Gu2[8] + Gu1[13]*Gu2[12] + Gu1[17]*Gu2[16] + Gu1[21]*Gu2[20] + Gu1[25]*Gu2[24] + Gu1[29]*Gu2[28] + Gu1[33]*Gu2[32] + Gu1[37]*Gu2[36] + Gu1[41]*Gu2[40] + Gu1[45]*Gu2[44]; +acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 1)] = + Gu1[1]*Gu2[1] + Gu1[5]*Gu2[5] + Gu1[9]*Gu2[9] + Gu1[13]*Gu2[13] + Gu1[17]*Gu2[17] + Gu1[21]*Gu2[21] + Gu1[25]*Gu2[25] + Gu1[29]*Gu2[29] + Gu1[33]*Gu2[33] + Gu1[37]*Gu2[37] + Gu1[41]*Gu2[41] + Gu1[45]*Gu2[45]; +acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 2)] = + Gu1[1]*Gu2[2] + Gu1[5]*Gu2[6] + Gu1[9]*Gu2[10] + Gu1[13]*Gu2[14] + Gu1[17]*Gu2[18] + Gu1[21]*Gu2[22] + Gu1[25]*Gu2[26] + Gu1[29]*Gu2[30] + Gu1[33]*Gu2[34] + Gu1[37]*Gu2[38] + Gu1[41]*Gu2[42] + Gu1[45]*Gu2[46]; +acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 3)] = + Gu1[1]*Gu2[3] + Gu1[5]*Gu2[7] + Gu1[9]*Gu2[11] + Gu1[13]*Gu2[15] + Gu1[17]*Gu2[19] + Gu1[21]*Gu2[23] + Gu1[25]*Gu2[27] + Gu1[29]*Gu2[31] + Gu1[33]*Gu2[35] + Gu1[37]*Gu2[39] + Gu1[41]*Gu2[43] + Gu1[45]*Gu2[47]; +acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4)] = + Gu1[2]*Gu2[0] + Gu1[6]*Gu2[4] + Gu1[10]*Gu2[8] + Gu1[14]*Gu2[12] + Gu1[18]*Gu2[16] + Gu1[22]*Gu2[20] + Gu1[26]*Gu2[24] + Gu1[30]*Gu2[28] + Gu1[34]*Gu2[32] + Gu1[38]*Gu2[36] + Gu1[42]*Gu2[40] + Gu1[46]*Gu2[44]; +acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 1)] = + Gu1[2]*Gu2[1] + Gu1[6]*Gu2[5] + Gu1[10]*Gu2[9] + Gu1[14]*Gu2[13] + Gu1[18]*Gu2[17] + Gu1[22]*Gu2[21] + Gu1[26]*Gu2[25] + Gu1[30]*Gu2[29] + Gu1[34]*Gu2[33] + Gu1[38]*Gu2[37] + Gu1[42]*Gu2[41] + Gu1[46]*Gu2[45]; +acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 2)] = + Gu1[2]*Gu2[2] + Gu1[6]*Gu2[6] + Gu1[10]*Gu2[10] + Gu1[14]*Gu2[14] + Gu1[18]*Gu2[18] + Gu1[22]*Gu2[22] + Gu1[26]*Gu2[26] + Gu1[30]*Gu2[30] + Gu1[34]*Gu2[34] + Gu1[38]*Gu2[38] + Gu1[42]*Gu2[42] + Gu1[46]*Gu2[46]; +acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 3)] = + Gu1[2]*Gu2[3] + Gu1[6]*Gu2[7] + Gu1[10]*Gu2[11] + Gu1[14]*Gu2[15] + Gu1[18]*Gu2[19] + Gu1[22]*Gu2[23] + Gu1[26]*Gu2[27] + Gu1[30]*Gu2[31] + Gu1[34]*Gu2[35] + Gu1[38]*Gu2[39] + Gu1[42]*Gu2[43] + Gu1[46]*Gu2[47]; +acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4)] = + Gu1[3]*Gu2[0] + Gu1[7]*Gu2[4] + Gu1[11]*Gu2[8] + Gu1[15]*Gu2[12] + Gu1[19]*Gu2[16] + Gu1[23]*Gu2[20] + Gu1[27]*Gu2[24] + Gu1[31]*Gu2[28] + Gu1[35]*Gu2[32] + Gu1[39]*Gu2[36] + Gu1[43]*Gu2[40] + Gu1[47]*Gu2[44]; +acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 1)] = + Gu1[3]*Gu2[1] + Gu1[7]*Gu2[5] + Gu1[11]*Gu2[9] + Gu1[15]*Gu2[13] + Gu1[19]*Gu2[17] + Gu1[23]*Gu2[21] + Gu1[27]*Gu2[25] + Gu1[31]*Gu2[29] + Gu1[35]*Gu2[33] + Gu1[39]*Gu2[37] + Gu1[43]*Gu2[41] + Gu1[47]*Gu2[45]; +acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 2)] = + Gu1[3]*Gu2[2] + Gu1[7]*Gu2[6] + Gu1[11]*Gu2[10] + Gu1[15]*Gu2[14] + Gu1[19]*Gu2[18] + Gu1[23]*Gu2[22] + Gu1[27]*Gu2[26] + Gu1[31]*Gu2[30] + Gu1[35]*Gu2[34] + Gu1[39]*Gu2[38] + Gu1[43]*Gu2[42] + Gu1[47]*Gu2[46]; +acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 3)] = + Gu1[3]*Gu2[3] + Gu1[7]*Gu2[7] + Gu1[11]*Gu2[11] + Gu1[15]*Gu2[15] + Gu1[19]*Gu2[19] + Gu1[23]*Gu2[23] + Gu1[27]*Gu2[27] + Gu1[31]*Gu2[31] + Gu1[35]*Gu2[35] + Gu1[39]*Gu2[39] + Gu1[43]*Gu2[43] + Gu1[47]*Gu2[47]; +} + +void acado_multBTW1_R1( real_t* const R11, real_t* const Gu1, real_t* const Gu2, int iRow ) +{ +acadoWorkspace.H[iRow * 324] = + Gu1[0]*Gu2[0] + Gu1[4]*Gu2[4] + Gu1[8]*Gu2[8] + Gu1[12]*Gu2[12] + Gu1[16]*Gu2[16] + Gu1[20]*Gu2[20] + Gu1[24]*Gu2[24] + Gu1[28]*Gu2[28] + Gu1[32]*Gu2[32] + Gu1[36]*Gu2[36] + Gu1[40]*Gu2[40] + Gu1[44]*Gu2[44] + R11[0]; +acadoWorkspace.H[iRow * 324 + 1] = + Gu1[0]*Gu2[1] + Gu1[4]*Gu2[5] + Gu1[8]*Gu2[9] + Gu1[12]*Gu2[13] + Gu1[16]*Gu2[17] + Gu1[20]*Gu2[21] + Gu1[24]*Gu2[25] + Gu1[28]*Gu2[29] + Gu1[32]*Gu2[33] + Gu1[36]*Gu2[37] + Gu1[40]*Gu2[41] + Gu1[44]*Gu2[45] + R11[1]; +acadoWorkspace.H[iRow * 324 + 2] = + Gu1[0]*Gu2[2] + Gu1[4]*Gu2[6] + Gu1[8]*Gu2[10] + Gu1[12]*Gu2[14] + Gu1[16]*Gu2[18] + Gu1[20]*Gu2[22] + Gu1[24]*Gu2[26] + Gu1[28]*Gu2[30] + Gu1[32]*Gu2[34] + Gu1[36]*Gu2[38] + Gu1[40]*Gu2[42] + Gu1[44]*Gu2[46] + R11[2]; +acadoWorkspace.H[iRow * 324 + 3] = + Gu1[0]*Gu2[3] + Gu1[4]*Gu2[7] + Gu1[8]*Gu2[11] + Gu1[12]*Gu2[15] + Gu1[16]*Gu2[19] + Gu1[20]*Gu2[23] + Gu1[24]*Gu2[27] + Gu1[28]*Gu2[31] + Gu1[32]*Gu2[35] + Gu1[36]*Gu2[39] + Gu1[40]*Gu2[43] + Gu1[44]*Gu2[47] + R11[3]; +acadoWorkspace.H[iRow * 324 + 80] = + Gu1[1]*Gu2[0] + Gu1[5]*Gu2[4] + Gu1[9]*Gu2[8] + Gu1[13]*Gu2[12] + Gu1[17]*Gu2[16] + Gu1[21]*Gu2[20] + Gu1[25]*Gu2[24] + Gu1[29]*Gu2[28] + Gu1[33]*Gu2[32] + Gu1[37]*Gu2[36] + Gu1[41]*Gu2[40] + Gu1[45]*Gu2[44] + R11[4]; +acadoWorkspace.H[iRow * 324 + 81] = + Gu1[1]*Gu2[1] + Gu1[5]*Gu2[5] + Gu1[9]*Gu2[9] + Gu1[13]*Gu2[13] + Gu1[17]*Gu2[17] + Gu1[21]*Gu2[21] + Gu1[25]*Gu2[25] + Gu1[29]*Gu2[29] + Gu1[33]*Gu2[33] + Gu1[37]*Gu2[37] + Gu1[41]*Gu2[41] + Gu1[45]*Gu2[45] + R11[5]; +acadoWorkspace.H[iRow * 324 + 82] = + Gu1[1]*Gu2[2] + Gu1[5]*Gu2[6] + Gu1[9]*Gu2[10] + Gu1[13]*Gu2[14] + Gu1[17]*Gu2[18] + Gu1[21]*Gu2[22] + Gu1[25]*Gu2[26] + Gu1[29]*Gu2[30] + Gu1[33]*Gu2[34] + Gu1[37]*Gu2[38] + Gu1[41]*Gu2[42] + Gu1[45]*Gu2[46] + R11[6]; +acadoWorkspace.H[iRow * 324 + 83] = + Gu1[1]*Gu2[3] + Gu1[5]*Gu2[7] + Gu1[9]*Gu2[11] + Gu1[13]*Gu2[15] + Gu1[17]*Gu2[19] + Gu1[21]*Gu2[23] + Gu1[25]*Gu2[27] + Gu1[29]*Gu2[31] + Gu1[33]*Gu2[35] + Gu1[37]*Gu2[39] + Gu1[41]*Gu2[43] + Gu1[45]*Gu2[47] + R11[7]; +acadoWorkspace.H[iRow * 324 + 160] = + Gu1[2]*Gu2[0] + Gu1[6]*Gu2[4] + Gu1[10]*Gu2[8] + Gu1[14]*Gu2[12] + Gu1[18]*Gu2[16] + Gu1[22]*Gu2[20] + Gu1[26]*Gu2[24] + Gu1[30]*Gu2[28] + Gu1[34]*Gu2[32] + Gu1[38]*Gu2[36] + Gu1[42]*Gu2[40] + Gu1[46]*Gu2[44] + R11[8]; +acadoWorkspace.H[iRow * 324 + 161] = + Gu1[2]*Gu2[1] + Gu1[6]*Gu2[5] + Gu1[10]*Gu2[9] + Gu1[14]*Gu2[13] + Gu1[18]*Gu2[17] + Gu1[22]*Gu2[21] + Gu1[26]*Gu2[25] + Gu1[30]*Gu2[29] + Gu1[34]*Gu2[33] + Gu1[38]*Gu2[37] + Gu1[42]*Gu2[41] + Gu1[46]*Gu2[45] + R11[9]; +acadoWorkspace.H[iRow * 324 + 162] = + Gu1[2]*Gu2[2] + Gu1[6]*Gu2[6] + Gu1[10]*Gu2[10] + Gu1[14]*Gu2[14] + Gu1[18]*Gu2[18] + Gu1[22]*Gu2[22] + Gu1[26]*Gu2[26] + Gu1[30]*Gu2[30] + Gu1[34]*Gu2[34] + Gu1[38]*Gu2[38] + Gu1[42]*Gu2[42] + Gu1[46]*Gu2[46] + R11[10]; +acadoWorkspace.H[iRow * 324 + 163] = + Gu1[2]*Gu2[3] + Gu1[6]*Gu2[7] + Gu1[10]*Gu2[11] + Gu1[14]*Gu2[15] + Gu1[18]*Gu2[19] + Gu1[22]*Gu2[23] + Gu1[26]*Gu2[27] + Gu1[30]*Gu2[31] + Gu1[34]*Gu2[35] + Gu1[38]*Gu2[39] + Gu1[42]*Gu2[43] + Gu1[46]*Gu2[47] + R11[11]; +acadoWorkspace.H[iRow * 324 + 240] = + Gu1[3]*Gu2[0] + Gu1[7]*Gu2[4] + Gu1[11]*Gu2[8] + Gu1[15]*Gu2[12] + Gu1[19]*Gu2[16] + Gu1[23]*Gu2[20] + Gu1[27]*Gu2[24] + Gu1[31]*Gu2[28] + Gu1[35]*Gu2[32] + Gu1[39]*Gu2[36] + Gu1[43]*Gu2[40] + Gu1[47]*Gu2[44] + R11[12]; +acadoWorkspace.H[iRow * 324 + 241] = + Gu1[3]*Gu2[1] + Gu1[7]*Gu2[5] + Gu1[11]*Gu2[9] + Gu1[15]*Gu2[13] + Gu1[19]*Gu2[17] + Gu1[23]*Gu2[21] + Gu1[27]*Gu2[25] + Gu1[31]*Gu2[29] + Gu1[35]*Gu2[33] + Gu1[39]*Gu2[37] + Gu1[43]*Gu2[41] + Gu1[47]*Gu2[45] + R11[13]; +acadoWorkspace.H[iRow * 324 + 242] = + Gu1[3]*Gu2[2] + Gu1[7]*Gu2[6] + Gu1[11]*Gu2[10] + Gu1[15]*Gu2[14] + Gu1[19]*Gu2[18] + Gu1[23]*Gu2[22] + Gu1[27]*Gu2[26] + Gu1[31]*Gu2[30] + Gu1[35]*Gu2[34] + Gu1[39]*Gu2[38] + Gu1[43]*Gu2[42] + Gu1[47]*Gu2[46] + R11[14]; +acadoWorkspace.H[iRow * 324 + 243] = + Gu1[3]*Gu2[3] + Gu1[7]*Gu2[7] + Gu1[11]*Gu2[11] + Gu1[15]*Gu2[15] + Gu1[19]*Gu2[19] + Gu1[23]*Gu2[23] + Gu1[27]*Gu2[27] + Gu1[31]*Gu2[31] + Gu1[35]*Gu2[35] + Gu1[39]*Gu2[39] + Gu1[43]*Gu2[43] + Gu1[47]*Gu2[47] + R11[15]; +acadoWorkspace.H[iRow * 324] += 1.0000000000000000e-10; +acadoWorkspace.H[iRow * 324 + 81] += 1.0000000000000000e-10; +acadoWorkspace.H[iRow * 324 + 162] += 1.0000000000000000e-10; +acadoWorkspace.H[iRow * 324 + 243] += 1.0000000000000000e-10; +} + +void acado_multGxTGu( real_t* const Gx1, real_t* const Gu1, real_t* const Gu2 ) +{ +Gu2[0] = + Gx1[0]*Gu1[0] + Gx1[12]*Gu1[4] + Gx1[24]*Gu1[8] + Gx1[36]*Gu1[12] + Gx1[48]*Gu1[16] + Gx1[60]*Gu1[20] + Gx1[72]*Gu1[24] + Gx1[84]*Gu1[28] + Gx1[96]*Gu1[32] + Gx1[108]*Gu1[36] + Gx1[120]*Gu1[40] + Gx1[132]*Gu1[44]; +Gu2[1] = + Gx1[0]*Gu1[1] + Gx1[12]*Gu1[5] + Gx1[24]*Gu1[9] + Gx1[36]*Gu1[13] + Gx1[48]*Gu1[17] + Gx1[60]*Gu1[21] + Gx1[72]*Gu1[25] + Gx1[84]*Gu1[29] + Gx1[96]*Gu1[33] + Gx1[108]*Gu1[37] + Gx1[120]*Gu1[41] + Gx1[132]*Gu1[45]; +Gu2[2] = + Gx1[0]*Gu1[2] + Gx1[12]*Gu1[6] + Gx1[24]*Gu1[10] + Gx1[36]*Gu1[14] + Gx1[48]*Gu1[18] + Gx1[60]*Gu1[22] + Gx1[72]*Gu1[26] + Gx1[84]*Gu1[30] + Gx1[96]*Gu1[34] + Gx1[108]*Gu1[38] + Gx1[120]*Gu1[42] + Gx1[132]*Gu1[46]; +Gu2[3] = + Gx1[0]*Gu1[3] + Gx1[12]*Gu1[7] + Gx1[24]*Gu1[11] + Gx1[36]*Gu1[15] + Gx1[48]*Gu1[19] + Gx1[60]*Gu1[23] + Gx1[72]*Gu1[27] + Gx1[84]*Gu1[31] + Gx1[96]*Gu1[35] + Gx1[108]*Gu1[39] + Gx1[120]*Gu1[43] + Gx1[132]*Gu1[47]; +Gu2[4] = + Gx1[1]*Gu1[0] + Gx1[13]*Gu1[4] + Gx1[25]*Gu1[8] + Gx1[37]*Gu1[12] + Gx1[49]*Gu1[16] + Gx1[61]*Gu1[20] + Gx1[73]*Gu1[24] + Gx1[85]*Gu1[28] + Gx1[97]*Gu1[32] + Gx1[109]*Gu1[36] + Gx1[121]*Gu1[40] + Gx1[133]*Gu1[44]; +Gu2[5] = + Gx1[1]*Gu1[1] + Gx1[13]*Gu1[5] + Gx1[25]*Gu1[9] + Gx1[37]*Gu1[13] + Gx1[49]*Gu1[17] + Gx1[61]*Gu1[21] + Gx1[73]*Gu1[25] + Gx1[85]*Gu1[29] + Gx1[97]*Gu1[33] + Gx1[109]*Gu1[37] + Gx1[121]*Gu1[41] + Gx1[133]*Gu1[45]; +Gu2[6] = + Gx1[1]*Gu1[2] + Gx1[13]*Gu1[6] + Gx1[25]*Gu1[10] + Gx1[37]*Gu1[14] + Gx1[49]*Gu1[18] + Gx1[61]*Gu1[22] + Gx1[73]*Gu1[26] + Gx1[85]*Gu1[30] + Gx1[97]*Gu1[34] + Gx1[109]*Gu1[38] + Gx1[121]*Gu1[42] + Gx1[133]*Gu1[46]; +Gu2[7] = + Gx1[1]*Gu1[3] + Gx1[13]*Gu1[7] + Gx1[25]*Gu1[11] + Gx1[37]*Gu1[15] + Gx1[49]*Gu1[19] + Gx1[61]*Gu1[23] + Gx1[73]*Gu1[27] + Gx1[85]*Gu1[31] + Gx1[97]*Gu1[35] + Gx1[109]*Gu1[39] + Gx1[121]*Gu1[43] + Gx1[133]*Gu1[47]; +Gu2[8] = + Gx1[2]*Gu1[0] + Gx1[14]*Gu1[4] + Gx1[26]*Gu1[8] + Gx1[38]*Gu1[12] + Gx1[50]*Gu1[16] + Gx1[62]*Gu1[20] + Gx1[74]*Gu1[24] + Gx1[86]*Gu1[28] + Gx1[98]*Gu1[32] + Gx1[110]*Gu1[36] + Gx1[122]*Gu1[40] + Gx1[134]*Gu1[44]; +Gu2[9] = + Gx1[2]*Gu1[1] + Gx1[14]*Gu1[5] + Gx1[26]*Gu1[9] + Gx1[38]*Gu1[13] + Gx1[50]*Gu1[17] + Gx1[62]*Gu1[21] + Gx1[74]*Gu1[25] + Gx1[86]*Gu1[29] + Gx1[98]*Gu1[33] + Gx1[110]*Gu1[37] + Gx1[122]*Gu1[41] + Gx1[134]*Gu1[45]; +Gu2[10] = + Gx1[2]*Gu1[2] + Gx1[14]*Gu1[6] + Gx1[26]*Gu1[10] + Gx1[38]*Gu1[14] + Gx1[50]*Gu1[18] + Gx1[62]*Gu1[22] + Gx1[74]*Gu1[26] + Gx1[86]*Gu1[30] + Gx1[98]*Gu1[34] + Gx1[110]*Gu1[38] + Gx1[122]*Gu1[42] + Gx1[134]*Gu1[46]; +Gu2[11] = + Gx1[2]*Gu1[3] + Gx1[14]*Gu1[7] + Gx1[26]*Gu1[11] + Gx1[38]*Gu1[15] + Gx1[50]*Gu1[19] + Gx1[62]*Gu1[23] + Gx1[74]*Gu1[27] + Gx1[86]*Gu1[31] + Gx1[98]*Gu1[35] + Gx1[110]*Gu1[39] + Gx1[122]*Gu1[43] + Gx1[134]*Gu1[47]; +Gu2[12] = + Gx1[3]*Gu1[0] + Gx1[15]*Gu1[4] + Gx1[27]*Gu1[8] + Gx1[39]*Gu1[12] + Gx1[51]*Gu1[16] + Gx1[63]*Gu1[20] + Gx1[75]*Gu1[24] + Gx1[87]*Gu1[28] + Gx1[99]*Gu1[32] + Gx1[111]*Gu1[36] + Gx1[123]*Gu1[40] + Gx1[135]*Gu1[44]; +Gu2[13] = + Gx1[3]*Gu1[1] + Gx1[15]*Gu1[5] + Gx1[27]*Gu1[9] + Gx1[39]*Gu1[13] + Gx1[51]*Gu1[17] + Gx1[63]*Gu1[21] + Gx1[75]*Gu1[25] + Gx1[87]*Gu1[29] + Gx1[99]*Gu1[33] + Gx1[111]*Gu1[37] + Gx1[123]*Gu1[41] + Gx1[135]*Gu1[45]; +Gu2[14] = + Gx1[3]*Gu1[2] + Gx1[15]*Gu1[6] + Gx1[27]*Gu1[10] + Gx1[39]*Gu1[14] + Gx1[51]*Gu1[18] + Gx1[63]*Gu1[22] + Gx1[75]*Gu1[26] + Gx1[87]*Gu1[30] + Gx1[99]*Gu1[34] + Gx1[111]*Gu1[38] + Gx1[123]*Gu1[42] + Gx1[135]*Gu1[46]; +Gu2[15] = + Gx1[3]*Gu1[3] + Gx1[15]*Gu1[7] + Gx1[27]*Gu1[11] + Gx1[39]*Gu1[15] + Gx1[51]*Gu1[19] + Gx1[63]*Gu1[23] + Gx1[75]*Gu1[27] + Gx1[87]*Gu1[31] + Gx1[99]*Gu1[35] + Gx1[111]*Gu1[39] + Gx1[123]*Gu1[43] + Gx1[135]*Gu1[47]; +Gu2[16] = + Gx1[4]*Gu1[0] + Gx1[16]*Gu1[4] + Gx1[28]*Gu1[8] + Gx1[40]*Gu1[12] + Gx1[52]*Gu1[16] + Gx1[64]*Gu1[20] + Gx1[76]*Gu1[24] + Gx1[88]*Gu1[28] + Gx1[100]*Gu1[32] + Gx1[112]*Gu1[36] + Gx1[124]*Gu1[40] + Gx1[136]*Gu1[44]; +Gu2[17] = + Gx1[4]*Gu1[1] + Gx1[16]*Gu1[5] + Gx1[28]*Gu1[9] + Gx1[40]*Gu1[13] + Gx1[52]*Gu1[17] + Gx1[64]*Gu1[21] + Gx1[76]*Gu1[25] + Gx1[88]*Gu1[29] + Gx1[100]*Gu1[33] + Gx1[112]*Gu1[37] + Gx1[124]*Gu1[41] + Gx1[136]*Gu1[45]; +Gu2[18] = + Gx1[4]*Gu1[2] + Gx1[16]*Gu1[6] + Gx1[28]*Gu1[10] + Gx1[40]*Gu1[14] + Gx1[52]*Gu1[18] + Gx1[64]*Gu1[22] + Gx1[76]*Gu1[26] + Gx1[88]*Gu1[30] + Gx1[100]*Gu1[34] + Gx1[112]*Gu1[38] + Gx1[124]*Gu1[42] + Gx1[136]*Gu1[46]; +Gu2[19] = + Gx1[4]*Gu1[3] + Gx1[16]*Gu1[7] + Gx1[28]*Gu1[11] + Gx1[40]*Gu1[15] + Gx1[52]*Gu1[19] + Gx1[64]*Gu1[23] + Gx1[76]*Gu1[27] + Gx1[88]*Gu1[31] + Gx1[100]*Gu1[35] + Gx1[112]*Gu1[39] + Gx1[124]*Gu1[43] + Gx1[136]*Gu1[47]; +Gu2[20] = + Gx1[5]*Gu1[0] + Gx1[17]*Gu1[4] + Gx1[29]*Gu1[8] + Gx1[41]*Gu1[12] + Gx1[53]*Gu1[16] + Gx1[65]*Gu1[20] + Gx1[77]*Gu1[24] + Gx1[89]*Gu1[28] + Gx1[101]*Gu1[32] + Gx1[113]*Gu1[36] + Gx1[125]*Gu1[40] + Gx1[137]*Gu1[44]; +Gu2[21] = + Gx1[5]*Gu1[1] + Gx1[17]*Gu1[5] + Gx1[29]*Gu1[9] + Gx1[41]*Gu1[13] + Gx1[53]*Gu1[17] + Gx1[65]*Gu1[21] + Gx1[77]*Gu1[25] + Gx1[89]*Gu1[29] + Gx1[101]*Gu1[33] + Gx1[113]*Gu1[37] + Gx1[125]*Gu1[41] + Gx1[137]*Gu1[45]; +Gu2[22] = + Gx1[5]*Gu1[2] + Gx1[17]*Gu1[6] + Gx1[29]*Gu1[10] + Gx1[41]*Gu1[14] + Gx1[53]*Gu1[18] + Gx1[65]*Gu1[22] + Gx1[77]*Gu1[26] + Gx1[89]*Gu1[30] + Gx1[101]*Gu1[34] + Gx1[113]*Gu1[38] + Gx1[125]*Gu1[42] + Gx1[137]*Gu1[46]; +Gu2[23] = + Gx1[5]*Gu1[3] + Gx1[17]*Gu1[7] + Gx1[29]*Gu1[11] + Gx1[41]*Gu1[15] + Gx1[53]*Gu1[19] + Gx1[65]*Gu1[23] + Gx1[77]*Gu1[27] + Gx1[89]*Gu1[31] + Gx1[101]*Gu1[35] + Gx1[113]*Gu1[39] + Gx1[125]*Gu1[43] + Gx1[137]*Gu1[47]; +Gu2[24] = + Gx1[6]*Gu1[0] + Gx1[18]*Gu1[4] + Gx1[30]*Gu1[8] + Gx1[42]*Gu1[12] + Gx1[54]*Gu1[16] + Gx1[66]*Gu1[20] + Gx1[78]*Gu1[24] + Gx1[90]*Gu1[28] + Gx1[102]*Gu1[32] + Gx1[114]*Gu1[36] + Gx1[126]*Gu1[40] + Gx1[138]*Gu1[44]; +Gu2[25] = + Gx1[6]*Gu1[1] + Gx1[18]*Gu1[5] + Gx1[30]*Gu1[9] + Gx1[42]*Gu1[13] + Gx1[54]*Gu1[17] + Gx1[66]*Gu1[21] + Gx1[78]*Gu1[25] + Gx1[90]*Gu1[29] + Gx1[102]*Gu1[33] + Gx1[114]*Gu1[37] + Gx1[126]*Gu1[41] + Gx1[138]*Gu1[45]; +Gu2[26] = + Gx1[6]*Gu1[2] + Gx1[18]*Gu1[6] + Gx1[30]*Gu1[10] + Gx1[42]*Gu1[14] + Gx1[54]*Gu1[18] + Gx1[66]*Gu1[22] + Gx1[78]*Gu1[26] + Gx1[90]*Gu1[30] + Gx1[102]*Gu1[34] + Gx1[114]*Gu1[38] + Gx1[126]*Gu1[42] + Gx1[138]*Gu1[46]; +Gu2[27] = + Gx1[6]*Gu1[3] + Gx1[18]*Gu1[7] + Gx1[30]*Gu1[11] + Gx1[42]*Gu1[15] + Gx1[54]*Gu1[19] + Gx1[66]*Gu1[23] + Gx1[78]*Gu1[27] + Gx1[90]*Gu1[31] + Gx1[102]*Gu1[35] + Gx1[114]*Gu1[39] + Gx1[126]*Gu1[43] + Gx1[138]*Gu1[47]; +Gu2[28] = + Gx1[7]*Gu1[0] + Gx1[19]*Gu1[4] + Gx1[31]*Gu1[8] + Gx1[43]*Gu1[12] + Gx1[55]*Gu1[16] + Gx1[67]*Gu1[20] + Gx1[79]*Gu1[24] + Gx1[91]*Gu1[28] + Gx1[103]*Gu1[32] + Gx1[115]*Gu1[36] + Gx1[127]*Gu1[40] + Gx1[139]*Gu1[44]; +Gu2[29] = + Gx1[7]*Gu1[1] + Gx1[19]*Gu1[5] + Gx1[31]*Gu1[9] + Gx1[43]*Gu1[13] + Gx1[55]*Gu1[17] + Gx1[67]*Gu1[21] + Gx1[79]*Gu1[25] + Gx1[91]*Gu1[29] + Gx1[103]*Gu1[33] + Gx1[115]*Gu1[37] + Gx1[127]*Gu1[41] + Gx1[139]*Gu1[45]; +Gu2[30] = + Gx1[7]*Gu1[2] + Gx1[19]*Gu1[6] + Gx1[31]*Gu1[10] + Gx1[43]*Gu1[14] + Gx1[55]*Gu1[18] + Gx1[67]*Gu1[22] + Gx1[79]*Gu1[26] + Gx1[91]*Gu1[30] + Gx1[103]*Gu1[34] + Gx1[115]*Gu1[38] + Gx1[127]*Gu1[42] + Gx1[139]*Gu1[46]; +Gu2[31] = + Gx1[7]*Gu1[3] + Gx1[19]*Gu1[7] + Gx1[31]*Gu1[11] + Gx1[43]*Gu1[15] + Gx1[55]*Gu1[19] + Gx1[67]*Gu1[23] + Gx1[79]*Gu1[27] + Gx1[91]*Gu1[31] + Gx1[103]*Gu1[35] + Gx1[115]*Gu1[39] + Gx1[127]*Gu1[43] + Gx1[139]*Gu1[47]; +Gu2[32] = + Gx1[8]*Gu1[0] + Gx1[20]*Gu1[4] + Gx1[32]*Gu1[8] + Gx1[44]*Gu1[12] + Gx1[56]*Gu1[16] + Gx1[68]*Gu1[20] + Gx1[80]*Gu1[24] + Gx1[92]*Gu1[28] + Gx1[104]*Gu1[32] + Gx1[116]*Gu1[36] + Gx1[128]*Gu1[40] + Gx1[140]*Gu1[44]; +Gu2[33] = + Gx1[8]*Gu1[1] + Gx1[20]*Gu1[5] + Gx1[32]*Gu1[9] + Gx1[44]*Gu1[13] + Gx1[56]*Gu1[17] + Gx1[68]*Gu1[21] + Gx1[80]*Gu1[25] + Gx1[92]*Gu1[29] + Gx1[104]*Gu1[33] + Gx1[116]*Gu1[37] + Gx1[128]*Gu1[41] + Gx1[140]*Gu1[45]; +Gu2[34] = + Gx1[8]*Gu1[2] + Gx1[20]*Gu1[6] + Gx1[32]*Gu1[10] + Gx1[44]*Gu1[14] + Gx1[56]*Gu1[18] + Gx1[68]*Gu1[22] + Gx1[80]*Gu1[26] + Gx1[92]*Gu1[30] + Gx1[104]*Gu1[34] + Gx1[116]*Gu1[38] + Gx1[128]*Gu1[42] + Gx1[140]*Gu1[46]; +Gu2[35] = + Gx1[8]*Gu1[3] + Gx1[20]*Gu1[7] + Gx1[32]*Gu1[11] + Gx1[44]*Gu1[15] + Gx1[56]*Gu1[19] + Gx1[68]*Gu1[23] + Gx1[80]*Gu1[27] + Gx1[92]*Gu1[31] + Gx1[104]*Gu1[35] + Gx1[116]*Gu1[39] + Gx1[128]*Gu1[43] + Gx1[140]*Gu1[47]; +Gu2[36] = + Gx1[9]*Gu1[0] + Gx1[21]*Gu1[4] + Gx1[33]*Gu1[8] + Gx1[45]*Gu1[12] + Gx1[57]*Gu1[16] + Gx1[69]*Gu1[20] + Gx1[81]*Gu1[24] + Gx1[93]*Gu1[28] + Gx1[105]*Gu1[32] + Gx1[117]*Gu1[36] + Gx1[129]*Gu1[40] + Gx1[141]*Gu1[44]; +Gu2[37] = + Gx1[9]*Gu1[1] + Gx1[21]*Gu1[5] + Gx1[33]*Gu1[9] + Gx1[45]*Gu1[13] + Gx1[57]*Gu1[17] + Gx1[69]*Gu1[21] + Gx1[81]*Gu1[25] + Gx1[93]*Gu1[29] + Gx1[105]*Gu1[33] + Gx1[117]*Gu1[37] + Gx1[129]*Gu1[41] + Gx1[141]*Gu1[45]; +Gu2[38] = + Gx1[9]*Gu1[2] + Gx1[21]*Gu1[6] + Gx1[33]*Gu1[10] + Gx1[45]*Gu1[14] + Gx1[57]*Gu1[18] + Gx1[69]*Gu1[22] + Gx1[81]*Gu1[26] + Gx1[93]*Gu1[30] + Gx1[105]*Gu1[34] + Gx1[117]*Gu1[38] + Gx1[129]*Gu1[42] + Gx1[141]*Gu1[46]; +Gu2[39] = + Gx1[9]*Gu1[3] + Gx1[21]*Gu1[7] + Gx1[33]*Gu1[11] + Gx1[45]*Gu1[15] + Gx1[57]*Gu1[19] + Gx1[69]*Gu1[23] + Gx1[81]*Gu1[27] + Gx1[93]*Gu1[31] + Gx1[105]*Gu1[35] + Gx1[117]*Gu1[39] + Gx1[129]*Gu1[43] + Gx1[141]*Gu1[47]; +Gu2[40] = + Gx1[10]*Gu1[0] + Gx1[22]*Gu1[4] + Gx1[34]*Gu1[8] + Gx1[46]*Gu1[12] + Gx1[58]*Gu1[16] + Gx1[70]*Gu1[20] + Gx1[82]*Gu1[24] + Gx1[94]*Gu1[28] + Gx1[106]*Gu1[32] + Gx1[118]*Gu1[36] + Gx1[130]*Gu1[40] + Gx1[142]*Gu1[44]; +Gu2[41] = + Gx1[10]*Gu1[1] + Gx1[22]*Gu1[5] + Gx1[34]*Gu1[9] + Gx1[46]*Gu1[13] + Gx1[58]*Gu1[17] + Gx1[70]*Gu1[21] + Gx1[82]*Gu1[25] + Gx1[94]*Gu1[29] + Gx1[106]*Gu1[33] + Gx1[118]*Gu1[37] + Gx1[130]*Gu1[41] + Gx1[142]*Gu1[45]; +Gu2[42] = + Gx1[10]*Gu1[2] + Gx1[22]*Gu1[6] + Gx1[34]*Gu1[10] + Gx1[46]*Gu1[14] + Gx1[58]*Gu1[18] + Gx1[70]*Gu1[22] + Gx1[82]*Gu1[26] + Gx1[94]*Gu1[30] + Gx1[106]*Gu1[34] + Gx1[118]*Gu1[38] + Gx1[130]*Gu1[42] + Gx1[142]*Gu1[46]; +Gu2[43] = + Gx1[10]*Gu1[3] + Gx1[22]*Gu1[7] + Gx1[34]*Gu1[11] + Gx1[46]*Gu1[15] + Gx1[58]*Gu1[19] + Gx1[70]*Gu1[23] + Gx1[82]*Gu1[27] + Gx1[94]*Gu1[31] + Gx1[106]*Gu1[35] + Gx1[118]*Gu1[39] + Gx1[130]*Gu1[43] + Gx1[142]*Gu1[47]; +Gu2[44] = + Gx1[11]*Gu1[0] + Gx1[23]*Gu1[4] + Gx1[35]*Gu1[8] + Gx1[47]*Gu1[12] + Gx1[59]*Gu1[16] + Gx1[71]*Gu1[20] + Gx1[83]*Gu1[24] + Gx1[95]*Gu1[28] + Gx1[107]*Gu1[32] + Gx1[119]*Gu1[36] + Gx1[131]*Gu1[40] + Gx1[143]*Gu1[44]; +Gu2[45] = + Gx1[11]*Gu1[1] + Gx1[23]*Gu1[5] + Gx1[35]*Gu1[9] + Gx1[47]*Gu1[13] + Gx1[59]*Gu1[17] + Gx1[71]*Gu1[21] + Gx1[83]*Gu1[25] + Gx1[95]*Gu1[29] + Gx1[107]*Gu1[33] + Gx1[119]*Gu1[37] + Gx1[131]*Gu1[41] + Gx1[143]*Gu1[45]; +Gu2[46] = + Gx1[11]*Gu1[2] + Gx1[23]*Gu1[6] + Gx1[35]*Gu1[10] + Gx1[47]*Gu1[14] + Gx1[59]*Gu1[18] + Gx1[71]*Gu1[22] + Gx1[83]*Gu1[26] + Gx1[95]*Gu1[30] + Gx1[107]*Gu1[34] + Gx1[119]*Gu1[38] + Gx1[131]*Gu1[42] + Gx1[143]*Gu1[46]; +Gu2[47] = + Gx1[11]*Gu1[3] + Gx1[23]*Gu1[7] + Gx1[35]*Gu1[11] + Gx1[47]*Gu1[15] + Gx1[59]*Gu1[19] + Gx1[71]*Gu1[23] + Gx1[83]*Gu1[27] + Gx1[95]*Gu1[31] + Gx1[107]*Gu1[35] + Gx1[119]*Gu1[39] + Gx1[131]*Gu1[43] + Gx1[143]*Gu1[47]; +} + +void acado_multQEW2( real_t* const Q11, real_t* const Gu1, real_t* const Gu2, real_t* const Gu3 ) +{ +Gu3[0] = + Q11[0]*Gu1[0] + Q11[1]*Gu1[4] + Q11[2]*Gu1[8] + Q11[3]*Gu1[12] + Q11[4]*Gu1[16] + Q11[5]*Gu1[20] + Q11[6]*Gu1[24] + Q11[7]*Gu1[28] + Q11[8]*Gu1[32] + Q11[9]*Gu1[36] + Q11[10]*Gu1[40] + Q11[11]*Gu1[44] + Gu2[0]; +Gu3[1] = + Q11[0]*Gu1[1] + Q11[1]*Gu1[5] + Q11[2]*Gu1[9] + Q11[3]*Gu1[13] + Q11[4]*Gu1[17] + Q11[5]*Gu1[21] + Q11[6]*Gu1[25] + Q11[7]*Gu1[29] + Q11[8]*Gu1[33] + Q11[9]*Gu1[37] + Q11[10]*Gu1[41] + Q11[11]*Gu1[45] + Gu2[1]; +Gu3[2] = + Q11[0]*Gu1[2] + Q11[1]*Gu1[6] + Q11[2]*Gu1[10] + Q11[3]*Gu1[14] + Q11[4]*Gu1[18] + Q11[5]*Gu1[22] + Q11[6]*Gu1[26] + Q11[7]*Gu1[30] + Q11[8]*Gu1[34] + Q11[9]*Gu1[38] + Q11[10]*Gu1[42] + Q11[11]*Gu1[46] + Gu2[2]; +Gu3[3] = + Q11[0]*Gu1[3] + Q11[1]*Gu1[7] + Q11[2]*Gu1[11] + Q11[3]*Gu1[15] + Q11[4]*Gu1[19] + Q11[5]*Gu1[23] + Q11[6]*Gu1[27] + Q11[7]*Gu1[31] + Q11[8]*Gu1[35] + Q11[9]*Gu1[39] + Q11[10]*Gu1[43] + Q11[11]*Gu1[47] + Gu2[3]; +Gu3[4] = + Q11[12]*Gu1[0] + Q11[13]*Gu1[4] + Q11[14]*Gu1[8] + Q11[15]*Gu1[12] + Q11[16]*Gu1[16] + Q11[17]*Gu1[20] + Q11[18]*Gu1[24] + Q11[19]*Gu1[28] + Q11[20]*Gu1[32] + Q11[21]*Gu1[36] + Q11[22]*Gu1[40] + Q11[23]*Gu1[44] + Gu2[4]; +Gu3[5] = + Q11[12]*Gu1[1] + Q11[13]*Gu1[5] + Q11[14]*Gu1[9] + Q11[15]*Gu1[13] + Q11[16]*Gu1[17] + Q11[17]*Gu1[21] + Q11[18]*Gu1[25] + Q11[19]*Gu1[29] + Q11[20]*Gu1[33] + Q11[21]*Gu1[37] + Q11[22]*Gu1[41] + Q11[23]*Gu1[45] + Gu2[5]; +Gu3[6] = + Q11[12]*Gu1[2] + Q11[13]*Gu1[6] + Q11[14]*Gu1[10] + Q11[15]*Gu1[14] + Q11[16]*Gu1[18] + Q11[17]*Gu1[22] + Q11[18]*Gu1[26] + Q11[19]*Gu1[30] + Q11[20]*Gu1[34] + Q11[21]*Gu1[38] + Q11[22]*Gu1[42] + Q11[23]*Gu1[46] + Gu2[6]; +Gu3[7] = + Q11[12]*Gu1[3] + Q11[13]*Gu1[7] + Q11[14]*Gu1[11] + Q11[15]*Gu1[15] + Q11[16]*Gu1[19] + Q11[17]*Gu1[23] + Q11[18]*Gu1[27] + Q11[19]*Gu1[31] + Q11[20]*Gu1[35] + Q11[21]*Gu1[39] + Q11[22]*Gu1[43] + Q11[23]*Gu1[47] + Gu2[7]; +Gu3[8] = + Q11[24]*Gu1[0] + Q11[25]*Gu1[4] + Q11[26]*Gu1[8] + Q11[27]*Gu1[12] + Q11[28]*Gu1[16] + Q11[29]*Gu1[20] + Q11[30]*Gu1[24] + Q11[31]*Gu1[28] + Q11[32]*Gu1[32] + Q11[33]*Gu1[36] + Q11[34]*Gu1[40] + Q11[35]*Gu1[44] + Gu2[8]; +Gu3[9] = + Q11[24]*Gu1[1] + Q11[25]*Gu1[5] + Q11[26]*Gu1[9] + Q11[27]*Gu1[13] + Q11[28]*Gu1[17] + Q11[29]*Gu1[21] + Q11[30]*Gu1[25] + Q11[31]*Gu1[29] + Q11[32]*Gu1[33] + Q11[33]*Gu1[37] + Q11[34]*Gu1[41] + Q11[35]*Gu1[45] + Gu2[9]; +Gu3[10] = + Q11[24]*Gu1[2] + Q11[25]*Gu1[6] + Q11[26]*Gu1[10] + Q11[27]*Gu1[14] + Q11[28]*Gu1[18] + Q11[29]*Gu1[22] + Q11[30]*Gu1[26] + Q11[31]*Gu1[30] + Q11[32]*Gu1[34] + Q11[33]*Gu1[38] + Q11[34]*Gu1[42] + Q11[35]*Gu1[46] + Gu2[10]; +Gu3[11] = + Q11[24]*Gu1[3] + Q11[25]*Gu1[7] + Q11[26]*Gu1[11] + Q11[27]*Gu1[15] + Q11[28]*Gu1[19] + Q11[29]*Gu1[23] + Q11[30]*Gu1[27] + Q11[31]*Gu1[31] + Q11[32]*Gu1[35] + Q11[33]*Gu1[39] + Q11[34]*Gu1[43] + Q11[35]*Gu1[47] + Gu2[11]; +Gu3[12] = + Q11[36]*Gu1[0] + Q11[37]*Gu1[4] + Q11[38]*Gu1[8] + Q11[39]*Gu1[12] + Q11[40]*Gu1[16] + Q11[41]*Gu1[20] + Q11[42]*Gu1[24] + Q11[43]*Gu1[28] + Q11[44]*Gu1[32] + Q11[45]*Gu1[36] + Q11[46]*Gu1[40] + Q11[47]*Gu1[44] + Gu2[12]; +Gu3[13] = + Q11[36]*Gu1[1] + Q11[37]*Gu1[5] + Q11[38]*Gu1[9] + Q11[39]*Gu1[13] + Q11[40]*Gu1[17] + Q11[41]*Gu1[21] + Q11[42]*Gu1[25] + Q11[43]*Gu1[29] + Q11[44]*Gu1[33] + Q11[45]*Gu1[37] + Q11[46]*Gu1[41] + Q11[47]*Gu1[45] + Gu2[13]; +Gu3[14] = + Q11[36]*Gu1[2] + Q11[37]*Gu1[6] + Q11[38]*Gu1[10] + Q11[39]*Gu1[14] + Q11[40]*Gu1[18] + Q11[41]*Gu1[22] + Q11[42]*Gu1[26] + Q11[43]*Gu1[30] + Q11[44]*Gu1[34] + Q11[45]*Gu1[38] + Q11[46]*Gu1[42] + Q11[47]*Gu1[46] + Gu2[14]; +Gu3[15] = + Q11[36]*Gu1[3] + Q11[37]*Gu1[7] + Q11[38]*Gu1[11] + Q11[39]*Gu1[15] + Q11[40]*Gu1[19] + Q11[41]*Gu1[23] + Q11[42]*Gu1[27] + Q11[43]*Gu1[31] + Q11[44]*Gu1[35] + Q11[45]*Gu1[39] + Q11[46]*Gu1[43] + Q11[47]*Gu1[47] + Gu2[15]; +Gu3[16] = + Q11[48]*Gu1[0] + Q11[49]*Gu1[4] + Q11[50]*Gu1[8] + Q11[51]*Gu1[12] + Q11[52]*Gu1[16] + Q11[53]*Gu1[20] + Q11[54]*Gu1[24] + Q11[55]*Gu1[28] + Q11[56]*Gu1[32] + Q11[57]*Gu1[36] + Q11[58]*Gu1[40] + Q11[59]*Gu1[44] + Gu2[16]; +Gu3[17] = + Q11[48]*Gu1[1] + Q11[49]*Gu1[5] + Q11[50]*Gu1[9] + Q11[51]*Gu1[13] + Q11[52]*Gu1[17] + Q11[53]*Gu1[21] + Q11[54]*Gu1[25] + Q11[55]*Gu1[29] + Q11[56]*Gu1[33] + Q11[57]*Gu1[37] + Q11[58]*Gu1[41] + Q11[59]*Gu1[45] + Gu2[17]; +Gu3[18] = + Q11[48]*Gu1[2] + Q11[49]*Gu1[6] + Q11[50]*Gu1[10] + Q11[51]*Gu1[14] + Q11[52]*Gu1[18] + Q11[53]*Gu1[22] + Q11[54]*Gu1[26] + Q11[55]*Gu1[30] + Q11[56]*Gu1[34] + Q11[57]*Gu1[38] + Q11[58]*Gu1[42] + Q11[59]*Gu1[46] + Gu2[18]; +Gu3[19] = + Q11[48]*Gu1[3] + Q11[49]*Gu1[7] + Q11[50]*Gu1[11] + Q11[51]*Gu1[15] + Q11[52]*Gu1[19] + Q11[53]*Gu1[23] + Q11[54]*Gu1[27] + Q11[55]*Gu1[31] + Q11[56]*Gu1[35] + Q11[57]*Gu1[39] + Q11[58]*Gu1[43] + Q11[59]*Gu1[47] + Gu2[19]; +Gu3[20] = + Q11[60]*Gu1[0] + Q11[61]*Gu1[4] + Q11[62]*Gu1[8] + Q11[63]*Gu1[12] + Q11[64]*Gu1[16] + Q11[65]*Gu1[20] + Q11[66]*Gu1[24] + Q11[67]*Gu1[28] + Q11[68]*Gu1[32] + Q11[69]*Gu1[36] + Q11[70]*Gu1[40] + Q11[71]*Gu1[44] + Gu2[20]; +Gu3[21] = + Q11[60]*Gu1[1] + Q11[61]*Gu1[5] + Q11[62]*Gu1[9] + Q11[63]*Gu1[13] + Q11[64]*Gu1[17] + Q11[65]*Gu1[21] + Q11[66]*Gu1[25] + Q11[67]*Gu1[29] + Q11[68]*Gu1[33] + Q11[69]*Gu1[37] + Q11[70]*Gu1[41] + Q11[71]*Gu1[45] + Gu2[21]; +Gu3[22] = + Q11[60]*Gu1[2] + Q11[61]*Gu1[6] + Q11[62]*Gu1[10] + Q11[63]*Gu1[14] + Q11[64]*Gu1[18] + Q11[65]*Gu1[22] + Q11[66]*Gu1[26] + Q11[67]*Gu1[30] + Q11[68]*Gu1[34] + Q11[69]*Gu1[38] + Q11[70]*Gu1[42] + Q11[71]*Gu1[46] + Gu2[22]; +Gu3[23] = + Q11[60]*Gu1[3] + Q11[61]*Gu1[7] + Q11[62]*Gu1[11] + Q11[63]*Gu1[15] + Q11[64]*Gu1[19] + Q11[65]*Gu1[23] + Q11[66]*Gu1[27] + Q11[67]*Gu1[31] + Q11[68]*Gu1[35] + Q11[69]*Gu1[39] + Q11[70]*Gu1[43] + Q11[71]*Gu1[47] + Gu2[23]; +Gu3[24] = + Q11[72]*Gu1[0] + Q11[73]*Gu1[4] + Q11[74]*Gu1[8] + Q11[75]*Gu1[12] + Q11[76]*Gu1[16] + Q11[77]*Gu1[20] + Q11[78]*Gu1[24] + Q11[79]*Gu1[28] + Q11[80]*Gu1[32] + Q11[81]*Gu1[36] + Q11[82]*Gu1[40] + Q11[83]*Gu1[44] + Gu2[24]; +Gu3[25] = + Q11[72]*Gu1[1] + Q11[73]*Gu1[5] + Q11[74]*Gu1[9] + Q11[75]*Gu1[13] + Q11[76]*Gu1[17] + Q11[77]*Gu1[21] + Q11[78]*Gu1[25] + Q11[79]*Gu1[29] + Q11[80]*Gu1[33] + Q11[81]*Gu1[37] + Q11[82]*Gu1[41] + Q11[83]*Gu1[45] + Gu2[25]; +Gu3[26] = + Q11[72]*Gu1[2] + Q11[73]*Gu1[6] + Q11[74]*Gu1[10] + Q11[75]*Gu1[14] + Q11[76]*Gu1[18] + Q11[77]*Gu1[22] + Q11[78]*Gu1[26] + Q11[79]*Gu1[30] + Q11[80]*Gu1[34] + Q11[81]*Gu1[38] + Q11[82]*Gu1[42] + Q11[83]*Gu1[46] + Gu2[26]; +Gu3[27] = + Q11[72]*Gu1[3] + Q11[73]*Gu1[7] + Q11[74]*Gu1[11] + Q11[75]*Gu1[15] + Q11[76]*Gu1[19] + Q11[77]*Gu1[23] + Q11[78]*Gu1[27] + Q11[79]*Gu1[31] + Q11[80]*Gu1[35] + Q11[81]*Gu1[39] + Q11[82]*Gu1[43] + Q11[83]*Gu1[47] + Gu2[27]; +Gu3[28] = + Q11[84]*Gu1[0] + Q11[85]*Gu1[4] + Q11[86]*Gu1[8] + Q11[87]*Gu1[12] + Q11[88]*Gu1[16] + Q11[89]*Gu1[20] + Q11[90]*Gu1[24] + Q11[91]*Gu1[28] + Q11[92]*Gu1[32] + Q11[93]*Gu1[36] + Q11[94]*Gu1[40] + Q11[95]*Gu1[44] + Gu2[28]; +Gu3[29] = + Q11[84]*Gu1[1] + Q11[85]*Gu1[5] + Q11[86]*Gu1[9] + Q11[87]*Gu1[13] + Q11[88]*Gu1[17] + Q11[89]*Gu1[21] + Q11[90]*Gu1[25] + Q11[91]*Gu1[29] + Q11[92]*Gu1[33] + Q11[93]*Gu1[37] + Q11[94]*Gu1[41] + Q11[95]*Gu1[45] + Gu2[29]; +Gu3[30] = + Q11[84]*Gu1[2] + Q11[85]*Gu1[6] + Q11[86]*Gu1[10] + Q11[87]*Gu1[14] + Q11[88]*Gu1[18] + Q11[89]*Gu1[22] + Q11[90]*Gu1[26] + Q11[91]*Gu1[30] + Q11[92]*Gu1[34] + Q11[93]*Gu1[38] + Q11[94]*Gu1[42] + Q11[95]*Gu1[46] + Gu2[30]; +Gu3[31] = + Q11[84]*Gu1[3] + Q11[85]*Gu1[7] + Q11[86]*Gu1[11] + Q11[87]*Gu1[15] + Q11[88]*Gu1[19] + Q11[89]*Gu1[23] + Q11[90]*Gu1[27] + Q11[91]*Gu1[31] + Q11[92]*Gu1[35] + Q11[93]*Gu1[39] + Q11[94]*Gu1[43] + Q11[95]*Gu1[47] + Gu2[31]; +Gu3[32] = + Q11[96]*Gu1[0] + Q11[97]*Gu1[4] + Q11[98]*Gu1[8] + Q11[99]*Gu1[12] + Q11[100]*Gu1[16] + Q11[101]*Gu1[20] + Q11[102]*Gu1[24] + Q11[103]*Gu1[28] + Q11[104]*Gu1[32] + Q11[105]*Gu1[36] + Q11[106]*Gu1[40] + Q11[107]*Gu1[44] + Gu2[32]; +Gu3[33] = + Q11[96]*Gu1[1] + Q11[97]*Gu1[5] + Q11[98]*Gu1[9] + Q11[99]*Gu1[13] + Q11[100]*Gu1[17] + Q11[101]*Gu1[21] + Q11[102]*Gu1[25] + Q11[103]*Gu1[29] + Q11[104]*Gu1[33] + Q11[105]*Gu1[37] + Q11[106]*Gu1[41] + Q11[107]*Gu1[45] + Gu2[33]; +Gu3[34] = + Q11[96]*Gu1[2] + Q11[97]*Gu1[6] + Q11[98]*Gu1[10] + Q11[99]*Gu1[14] + Q11[100]*Gu1[18] + Q11[101]*Gu1[22] + Q11[102]*Gu1[26] + Q11[103]*Gu1[30] + Q11[104]*Gu1[34] + Q11[105]*Gu1[38] + Q11[106]*Gu1[42] + Q11[107]*Gu1[46] + Gu2[34]; +Gu3[35] = + Q11[96]*Gu1[3] + Q11[97]*Gu1[7] + Q11[98]*Gu1[11] + Q11[99]*Gu1[15] + Q11[100]*Gu1[19] + Q11[101]*Gu1[23] + Q11[102]*Gu1[27] + Q11[103]*Gu1[31] + Q11[104]*Gu1[35] + Q11[105]*Gu1[39] + Q11[106]*Gu1[43] + Q11[107]*Gu1[47] + Gu2[35]; +Gu3[36] = + Q11[108]*Gu1[0] + Q11[109]*Gu1[4] + Q11[110]*Gu1[8] + Q11[111]*Gu1[12] + Q11[112]*Gu1[16] + Q11[113]*Gu1[20] + Q11[114]*Gu1[24] + Q11[115]*Gu1[28] + Q11[116]*Gu1[32] + Q11[117]*Gu1[36] + Q11[118]*Gu1[40] + Q11[119]*Gu1[44] + Gu2[36]; +Gu3[37] = + Q11[108]*Gu1[1] + Q11[109]*Gu1[5] + Q11[110]*Gu1[9] + Q11[111]*Gu1[13] + Q11[112]*Gu1[17] + Q11[113]*Gu1[21] + Q11[114]*Gu1[25] + Q11[115]*Gu1[29] + Q11[116]*Gu1[33] + Q11[117]*Gu1[37] + Q11[118]*Gu1[41] + Q11[119]*Gu1[45] + Gu2[37]; +Gu3[38] = + Q11[108]*Gu1[2] + Q11[109]*Gu1[6] + Q11[110]*Gu1[10] + Q11[111]*Gu1[14] + Q11[112]*Gu1[18] + Q11[113]*Gu1[22] + Q11[114]*Gu1[26] + Q11[115]*Gu1[30] + Q11[116]*Gu1[34] + Q11[117]*Gu1[38] + Q11[118]*Gu1[42] + Q11[119]*Gu1[46] + Gu2[38]; +Gu3[39] = + Q11[108]*Gu1[3] + Q11[109]*Gu1[7] + Q11[110]*Gu1[11] + Q11[111]*Gu1[15] + Q11[112]*Gu1[19] + Q11[113]*Gu1[23] + Q11[114]*Gu1[27] + Q11[115]*Gu1[31] + Q11[116]*Gu1[35] + Q11[117]*Gu1[39] + Q11[118]*Gu1[43] + Q11[119]*Gu1[47] + Gu2[39]; +Gu3[40] = + Q11[120]*Gu1[0] + Q11[121]*Gu1[4] + Q11[122]*Gu1[8] + Q11[123]*Gu1[12] + Q11[124]*Gu1[16] + Q11[125]*Gu1[20] + Q11[126]*Gu1[24] + Q11[127]*Gu1[28] + Q11[128]*Gu1[32] + Q11[129]*Gu1[36] + Q11[130]*Gu1[40] + Q11[131]*Gu1[44] + Gu2[40]; +Gu3[41] = + Q11[120]*Gu1[1] + Q11[121]*Gu1[5] + Q11[122]*Gu1[9] + Q11[123]*Gu1[13] + Q11[124]*Gu1[17] + Q11[125]*Gu1[21] + Q11[126]*Gu1[25] + Q11[127]*Gu1[29] + Q11[128]*Gu1[33] + Q11[129]*Gu1[37] + Q11[130]*Gu1[41] + Q11[131]*Gu1[45] + Gu2[41]; +Gu3[42] = + Q11[120]*Gu1[2] + Q11[121]*Gu1[6] + Q11[122]*Gu1[10] + Q11[123]*Gu1[14] + Q11[124]*Gu1[18] + Q11[125]*Gu1[22] + Q11[126]*Gu1[26] + Q11[127]*Gu1[30] + Q11[128]*Gu1[34] + Q11[129]*Gu1[38] + Q11[130]*Gu1[42] + Q11[131]*Gu1[46] + Gu2[42]; +Gu3[43] = + Q11[120]*Gu1[3] + Q11[121]*Gu1[7] + Q11[122]*Gu1[11] + Q11[123]*Gu1[15] + Q11[124]*Gu1[19] + Q11[125]*Gu1[23] + Q11[126]*Gu1[27] + Q11[127]*Gu1[31] + Q11[128]*Gu1[35] + Q11[129]*Gu1[39] + Q11[130]*Gu1[43] + Q11[131]*Gu1[47] + Gu2[43]; +Gu3[44] = + Q11[132]*Gu1[0] + Q11[133]*Gu1[4] + Q11[134]*Gu1[8] + Q11[135]*Gu1[12] + Q11[136]*Gu1[16] + Q11[137]*Gu1[20] + Q11[138]*Gu1[24] + Q11[139]*Gu1[28] + Q11[140]*Gu1[32] + Q11[141]*Gu1[36] + Q11[142]*Gu1[40] + Q11[143]*Gu1[44] + Gu2[44]; +Gu3[45] = + Q11[132]*Gu1[1] + Q11[133]*Gu1[5] + Q11[134]*Gu1[9] + Q11[135]*Gu1[13] + Q11[136]*Gu1[17] + Q11[137]*Gu1[21] + Q11[138]*Gu1[25] + Q11[139]*Gu1[29] + Q11[140]*Gu1[33] + Q11[141]*Gu1[37] + Q11[142]*Gu1[41] + Q11[143]*Gu1[45] + Gu2[45]; +Gu3[46] = + Q11[132]*Gu1[2] + Q11[133]*Gu1[6] + Q11[134]*Gu1[10] + Q11[135]*Gu1[14] + Q11[136]*Gu1[18] + Q11[137]*Gu1[22] + Q11[138]*Gu1[26] + Q11[139]*Gu1[30] + Q11[140]*Gu1[34] + Q11[141]*Gu1[38] + Q11[142]*Gu1[42] + Q11[143]*Gu1[46] + Gu2[46]; +Gu3[47] = + Q11[132]*Gu1[3] + Q11[133]*Gu1[7] + Q11[134]*Gu1[11] + Q11[135]*Gu1[15] + Q11[136]*Gu1[19] + Q11[137]*Gu1[23] + Q11[138]*Gu1[27] + Q11[139]*Gu1[31] + Q11[140]*Gu1[35] + Q11[141]*Gu1[39] + Q11[142]*Gu1[43] + Q11[143]*Gu1[47] + Gu2[47]; +} + +void acado_macATw1QDy( real_t* const Gx1, real_t* const w11, real_t* const w12, real_t* const w13 ) +{ +w13[0] = + Gx1[0]*w11[0] + Gx1[12]*w11[1] + Gx1[24]*w11[2] + Gx1[36]*w11[3] + Gx1[48]*w11[4] + Gx1[60]*w11[5] + Gx1[72]*w11[6] + Gx1[84]*w11[7] + Gx1[96]*w11[8] + Gx1[108]*w11[9] + Gx1[120]*w11[10] + Gx1[132]*w11[11] + w12[0]; +w13[1] = + Gx1[1]*w11[0] + Gx1[13]*w11[1] + Gx1[25]*w11[2] + Gx1[37]*w11[3] + Gx1[49]*w11[4] + Gx1[61]*w11[5] + Gx1[73]*w11[6] + Gx1[85]*w11[7] + Gx1[97]*w11[8] + Gx1[109]*w11[9] + Gx1[121]*w11[10] + Gx1[133]*w11[11] + w12[1]; +w13[2] = + Gx1[2]*w11[0] + Gx1[14]*w11[1] + Gx1[26]*w11[2] + Gx1[38]*w11[3] + Gx1[50]*w11[4] + Gx1[62]*w11[5] + Gx1[74]*w11[6] + Gx1[86]*w11[7] + Gx1[98]*w11[8] + Gx1[110]*w11[9] + Gx1[122]*w11[10] + Gx1[134]*w11[11] + w12[2]; +w13[3] = + Gx1[3]*w11[0] + Gx1[15]*w11[1] + Gx1[27]*w11[2] + Gx1[39]*w11[3] + Gx1[51]*w11[4] + Gx1[63]*w11[5] + Gx1[75]*w11[6] + Gx1[87]*w11[7] + Gx1[99]*w11[8] + Gx1[111]*w11[9] + Gx1[123]*w11[10] + Gx1[135]*w11[11] + w12[3]; +w13[4] = + Gx1[4]*w11[0] + Gx1[16]*w11[1] + Gx1[28]*w11[2] + Gx1[40]*w11[3] + Gx1[52]*w11[4] + Gx1[64]*w11[5] + Gx1[76]*w11[6] + Gx1[88]*w11[7] + Gx1[100]*w11[8] + Gx1[112]*w11[9] + Gx1[124]*w11[10] + Gx1[136]*w11[11] + w12[4]; +w13[5] = + Gx1[5]*w11[0] + Gx1[17]*w11[1] + Gx1[29]*w11[2] + Gx1[41]*w11[3] + Gx1[53]*w11[4] + Gx1[65]*w11[5] + Gx1[77]*w11[6] + Gx1[89]*w11[7] + Gx1[101]*w11[8] + Gx1[113]*w11[9] + Gx1[125]*w11[10] + Gx1[137]*w11[11] + w12[5]; +w13[6] = + Gx1[6]*w11[0] + Gx1[18]*w11[1] + Gx1[30]*w11[2] + Gx1[42]*w11[3] + Gx1[54]*w11[4] + Gx1[66]*w11[5] + Gx1[78]*w11[6] + Gx1[90]*w11[7] + Gx1[102]*w11[8] + Gx1[114]*w11[9] + Gx1[126]*w11[10] + Gx1[138]*w11[11] + w12[6]; +w13[7] = + Gx1[7]*w11[0] + Gx1[19]*w11[1] + Gx1[31]*w11[2] + Gx1[43]*w11[3] + Gx1[55]*w11[4] + Gx1[67]*w11[5] + Gx1[79]*w11[6] + Gx1[91]*w11[7] + Gx1[103]*w11[8] + Gx1[115]*w11[9] + Gx1[127]*w11[10] + Gx1[139]*w11[11] + w12[7]; +w13[8] = + Gx1[8]*w11[0] + Gx1[20]*w11[1] + Gx1[32]*w11[2] + Gx1[44]*w11[3] + Gx1[56]*w11[4] + Gx1[68]*w11[5] + Gx1[80]*w11[6] + Gx1[92]*w11[7] + Gx1[104]*w11[8] + Gx1[116]*w11[9] + Gx1[128]*w11[10] + Gx1[140]*w11[11] + w12[8]; +w13[9] = + Gx1[9]*w11[0] + Gx1[21]*w11[1] + Gx1[33]*w11[2] + Gx1[45]*w11[3] + Gx1[57]*w11[4] + Gx1[69]*w11[5] + Gx1[81]*w11[6] + Gx1[93]*w11[7] + Gx1[105]*w11[8] + Gx1[117]*w11[9] + Gx1[129]*w11[10] + Gx1[141]*w11[11] + w12[9]; +w13[10] = + Gx1[10]*w11[0] + Gx1[22]*w11[1] + Gx1[34]*w11[2] + Gx1[46]*w11[3] + Gx1[58]*w11[4] + Gx1[70]*w11[5] + Gx1[82]*w11[6] + Gx1[94]*w11[7] + Gx1[106]*w11[8] + Gx1[118]*w11[9] + Gx1[130]*w11[10] + Gx1[142]*w11[11] + w12[10]; +w13[11] = + Gx1[11]*w11[0] + Gx1[23]*w11[1] + Gx1[35]*w11[2] + Gx1[47]*w11[3] + Gx1[59]*w11[4] + Gx1[71]*w11[5] + Gx1[83]*w11[6] + Gx1[95]*w11[7] + Gx1[107]*w11[8] + Gx1[119]*w11[9] + Gx1[131]*w11[10] + Gx1[143]*w11[11] + w12[11]; +} + +void acado_macBTw1( real_t* const Gu1, real_t* const w11, real_t* const U1 ) +{ +U1[0] += + Gu1[0]*w11[0] + Gu1[4]*w11[1] + Gu1[8]*w11[2] + Gu1[12]*w11[3] + Gu1[16]*w11[4] + Gu1[20]*w11[5] + Gu1[24]*w11[6] + Gu1[28]*w11[7] + Gu1[32]*w11[8] + Gu1[36]*w11[9] + Gu1[40]*w11[10] + Gu1[44]*w11[11]; +U1[1] += + Gu1[1]*w11[0] + Gu1[5]*w11[1] + Gu1[9]*w11[2] + Gu1[13]*w11[3] + Gu1[17]*w11[4] + Gu1[21]*w11[5] + Gu1[25]*w11[6] + Gu1[29]*w11[7] + Gu1[33]*w11[8] + Gu1[37]*w11[9] + Gu1[41]*w11[10] + Gu1[45]*w11[11]; +U1[2] += + Gu1[2]*w11[0] + Gu1[6]*w11[1] + Gu1[10]*w11[2] + Gu1[14]*w11[3] + Gu1[18]*w11[4] + Gu1[22]*w11[5] + Gu1[26]*w11[6] + Gu1[30]*w11[7] + Gu1[34]*w11[8] + Gu1[38]*w11[9] + Gu1[42]*w11[10] + Gu1[46]*w11[11]; +U1[3] += + Gu1[3]*w11[0] + Gu1[7]*w11[1] + Gu1[11]*w11[2] + Gu1[15]*w11[3] + Gu1[19]*w11[4] + Gu1[23]*w11[5] + Gu1[27]*w11[6] + Gu1[31]*w11[7] + Gu1[35]*w11[8] + Gu1[39]*w11[9] + Gu1[43]*w11[10] + Gu1[47]*w11[11]; +} + +void acado_macQSbarW2( real_t* const Q11, real_t* const w11, real_t* const w12, real_t* const w13 ) +{ +w13[0] = + Q11[0]*w11[0] + Q11[1]*w11[1] + Q11[2]*w11[2] + Q11[3]*w11[3] + Q11[4]*w11[4] + Q11[5]*w11[5] + Q11[6]*w11[6] + Q11[7]*w11[7] + Q11[8]*w11[8] + Q11[9]*w11[9] + Q11[10]*w11[10] + Q11[11]*w11[11] + w12[0]; +w13[1] = + Q11[12]*w11[0] + Q11[13]*w11[1] + Q11[14]*w11[2] + Q11[15]*w11[3] + Q11[16]*w11[4] + Q11[17]*w11[5] + Q11[18]*w11[6] + Q11[19]*w11[7] + Q11[20]*w11[8] + Q11[21]*w11[9] + Q11[22]*w11[10] + Q11[23]*w11[11] + w12[1]; +w13[2] = + Q11[24]*w11[0] + Q11[25]*w11[1] + Q11[26]*w11[2] + Q11[27]*w11[3] + Q11[28]*w11[4] + Q11[29]*w11[5] + Q11[30]*w11[6] + Q11[31]*w11[7] + Q11[32]*w11[8] + Q11[33]*w11[9] + Q11[34]*w11[10] + Q11[35]*w11[11] + w12[2]; +w13[3] = + Q11[36]*w11[0] + Q11[37]*w11[1] + Q11[38]*w11[2] + Q11[39]*w11[3] + Q11[40]*w11[4] + Q11[41]*w11[5] + Q11[42]*w11[6] + Q11[43]*w11[7] + Q11[44]*w11[8] + Q11[45]*w11[9] + Q11[46]*w11[10] + Q11[47]*w11[11] + w12[3]; +w13[4] = + Q11[48]*w11[0] + Q11[49]*w11[1] + Q11[50]*w11[2] + Q11[51]*w11[3] + Q11[52]*w11[4] + Q11[53]*w11[5] + Q11[54]*w11[6] + Q11[55]*w11[7] + Q11[56]*w11[8] + Q11[57]*w11[9] + Q11[58]*w11[10] + Q11[59]*w11[11] + w12[4]; +w13[5] = + Q11[60]*w11[0] + Q11[61]*w11[1] + Q11[62]*w11[2] + Q11[63]*w11[3] + Q11[64]*w11[4] + Q11[65]*w11[5] + Q11[66]*w11[6] + Q11[67]*w11[7] + Q11[68]*w11[8] + Q11[69]*w11[9] + Q11[70]*w11[10] + Q11[71]*w11[11] + w12[5]; +w13[6] = + Q11[72]*w11[0] + Q11[73]*w11[1] + Q11[74]*w11[2] + Q11[75]*w11[3] + Q11[76]*w11[4] + Q11[77]*w11[5] + Q11[78]*w11[6] + Q11[79]*w11[7] + Q11[80]*w11[8] + Q11[81]*w11[9] + Q11[82]*w11[10] + Q11[83]*w11[11] + w12[6]; +w13[7] = + Q11[84]*w11[0] + Q11[85]*w11[1] + Q11[86]*w11[2] + Q11[87]*w11[3] + Q11[88]*w11[4] + Q11[89]*w11[5] + Q11[90]*w11[6] + Q11[91]*w11[7] + Q11[92]*w11[8] + Q11[93]*w11[9] + Q11[94]*w11[10] + Q11[95]*w11[11] + w12[7]; +w13[8] = + Q11[96]*w11[0] + Q11[97]*w11[1] + Q11[98]*w11[2] + Q11[99]*w11[3] + Q11[100]*w11[4] + Q11[101]*w11[5] + Q11[102]*w11[6] + Q11[103]*w11[7] + Q11[104]*w11[8] + Q11[105]*w11[9] + Q11[106]*w11[10] + Q11[107]*w11[11] + w12[8]; +w13[9] = + Q11[108]*w11[0] + Q11[109]*w11[1] + Q11[110]*w11[2] + Q11[111]*w11[3] + Q11[112]*w11[4] + Q11[113]*w11[5] + Q11[114]*w11[6] + Q11[115]*w11[7] + Q11[116]*w11[8] + Q11[117]*w11[9] + Q11[118]*w11[10] + Q11[119]*w11[11] + w12[9]; +w13[10] = + Q11[120]*w11[0] + Q11[121]*w11[1] + Q11[122]*w11[2] + Q11[123]*w11[3] + Q11[124]*w11[4] + Q11[125]*w11[5] + Q11[126]*w11[6] + Q11[127]*w11[7] + Q11[128]*w11[8] + Q11[129]*w11[9] + Q11[130]*w11[10] + Q11[131]*w11[11] + w12[10]; +w13[11] = + Q11[132]*w11[0] + Q11[133]*w11[1] + Q11[134]*w11[2] + Q11[135]*w11[3] + Q11[136]*w11[4] + Q11[137]*w11[5] + Q11[138]*w11[6] + Q11[139]*w11[7] + Q11[140]*w11[8] + Q11[141]*w11[9] + Q11[142]*w11[10] + Q11[143]*w11[11] + w12[11]; +} + +void acado_macASbar( real_t* const Gx1, real_t* const w11, real_t* const w12 ) +{ +w12[0] += + Gx1[0]*w11[0] + Gx1[1]*w11[1] + Gx1[2]*w11[2] + Gx1[3]*w11[3] + Gx1[4]*w11[4] + Gx1[5]*w11[5] + Gx1[6]*w11[6] + Gx1[7]*w11[7] + Gx1[8]*w11[8] + Gx1[9]*w11[9] + Gx1[10]*w11[10] + Gx1[11]*w11[11]; +w12[1] += + Gx1[12]*w11[0] + Gx1[13]*w11[1] + Gx1[14]*w11[2] + Gx1[15]*w11[3] + Gx1[16]*w11[4] + Gx1[17]*w11[5] + Gx1[18]*w11[6] + Gx1[19]*w11[7] + Gx1[20]*w11[8] + Gx1[21]*w11[9] + Gx1[22]*w11[10] + Gx1[23]*w11[11]; +w12[2] += + Gx1[24]*w11[0] + Gx1[25]*w11[1] + Gx1[26]*w11[2] + Gx1[27]*w11[3] + Gx1[28]*w11[4] + Gx1[29]*w11[5] + Gx1[30]*w11[6] + Gx1[31]*w11[7] + Gx1[32]*w11[8] + Gx1[33]*w11[9] + Gx1[34]*w11[10] + Gx1[35]*w11[11]; +w12[3] += + Gx1[36]*w11[0] + Gx1[37]*w11[1] + Gx1[38]*w11[2] + Gx1[39]*w11[3] + Gx1[40]*w11[4] + Gx1[41]*w11[5] + Gx1[42]*w11[6] + Gx1[43]*w11[7] + Gx1[44]*w11[8] + Gx1[45]*w11[9] + Gx1[46]*w11[10] + Gx1[47]*w11[11]; +w12[4] += + Gx1[48]*w11[0] + Gx1[49]*w11[1] + Gx1[50]*w11[2] + Gx1[51]*w11[3] + Gx1[52]*w11[4] + Gx1[53]*w11[5] + Gx1[54]*w11[6] + Gx1[55]*w11[7] + Gx1[56]*w11[8] + Gx1[57]*w11[9] + Gx1[58]*w11[10] + Gx1[59]*w11[11]; +w12[5] += + Gx1[60]*w11[0] + Gx1[61]*w11[1] + Gx1[62]*w11[2] + Gx1[63]*w11[3] + Gx1[64]*w11[4] + Gx1[65]*w11[5] + Gx1[66]*w11[6] + Gx1[67]*w11[7] + Gx1[68]*w11[8] + Gx1[69]*w11[9] + Gx1[70]*w11[10] + Gx1[71]*w11[11]; +w12[6] += + Gx1[72]*w11[0] + Gx1[73]*w11[1] + Gx1[74]*w11[2] + Gx1[75]*w11[3] + Gx1[76]*w11[4] + Gx1[77]*w11[5] + Gx1[78]*w11[6] + Gx1[79]*w11[7] + Gx1[80]*w11[8] + Gx1[81]*w11[9] + Gx1[82]*w11[10] + Gx1[83]*w11[11]; +w12[7] += + Gx1[84]*w11[0] + Gx1[85]*w11[1] + Gx1[86]*w11[2] + Gx1[87]*w11[3] + Gx1[88]*w11[4] + Gx1[89]*w11[5] + Gx1[90]*w11[6] + Gx1[91]*w11[7] + Gx1[92]*w11[8] + Gx1[93]*w11[9] + Gx1[94]*w11[10] + Gx1[95]*w11[11]; +w12[8] += + Gx1[96]*w11[0] + Gx1[97]*w11[1] + Gx1[98]*w11[2] + Gx1[99]*w11[3] + Gx1[100]*w11[4] + Gx1[101]*w11[5] + Gx1[102]*w11[6] + Gx1[103]*w11[7] + Gx1[104]*w11[8] + Gx1[105]*w11[9] + Gx1[106]*w11[10] + Gx1[107]*w11[11]; +w12[9] += + Gx1[108]*w11[0] + Gx1[109]*w11[1] + Gx1[110]*w11[2] + Gx1[111]*w11[3] + Gx1[112]*w11[4] + Gx1[113]*w11[5] + Gx1[114]*w11[6] + Gx1[115]*w11[7] + Gx1[116]*w11[8] + Gx1[117]*w11[9] + Gx1[118]*w11[10] + Gx1[119]*w11[11]; +w12[10] += + Gx1[120]*w11[0] + Gx1[121]*w11[1] + Gx1[122]*w11[2] + Gx1[123]*w11[3] + Gx1[124]*w11[4] + Gx1[125]*w11[5] + Gx1[126]*w11[6] + Gx1[127]*w11[7] + Gx1[128]*w11[8] + Gx1[129]*w11[9] + Gx1[130]*w11[10] + Gx1[131]*w11[11]; +w12[11] += + Gx1[132]*w11[0] + Gx1[133]*w11[1] + Gx1[134]*w11[2] + Gx1[135]*w11[3] + Gx1[136]*w11[4] + Gx1[137]*w11[5] + Gx1[138]*w11[6] + Gx1[139]*w11[7] + Gx1[140]*w11[8] + Gx1[141]*w11[9] + Gx1[142]*w11[10] + Gx1[143]*w11[11]; +} + +void acado_expansionStep( real_t* const Gx1, real_t* const Gu1, real_t* const U1, real_t* const w11, real_t* const w12 ) +{ +w12[0] += + Gx1[0]*w11[0] + Gx1[1]*w11[1] + Gx1[2]*w11[2] + Gx1[3]*w11[3] + Gx1[4]*w11[4] + Gx1[5]*w11[5] + Gx1[6]*w11[6] + Gx1[7]*w11[7] + Gx1[8]*w11[8] + Gx1[9]*w11[9] + Gx1[10]*w11[10] + Gx1[11]*w11[11]; +w12[1] += + Gx1[12]*w11[0] + Gx1[13]*w11[1] + Gx1[14]*w11[2] + Gx1[15]*w11[3] + Gx1[16]*w11[4] + Gx1[17]*w11[5] + Gx1[18]*w11[6] + Gx1[19]*w11[7] + Gx1[20]*w11[8] + Gx1[21]*w11[9] + Gx1[22]*w11[10] + Gx1[23]*w11[11]; +w12[2] += + Gx1[24]*w11[0] + Gx1[25]*w11[1] + Gx1[26]*w11[2] + Gx1[27]*w11[3] + Gx1[28]*w11[4] + Gx1[29]*w11[5] + Gx1[30]*w11[6] + Gx1[31]*w11[7] + Gx1[32]*w11[8] + Gx1[33]*w11[9] + Gx1[34]*w11[10] + Gx1[35]*w11[11]; +w12[3] += + Gx1[36]*w11[0] + Gx1[37]*w11[1] + Gx1[38]*w11[2] + Gx1[39]*w11[3] + Gx1[40]*w11[4] + Gx1[41]*w11[5] + Gx1[42]*w11[6] + Gx1[43]*w11[7] + Gx1[44]*w11[8] + Gx1[45]*w11[9] + Gx1[46]*w11[10] + Gx1[47]*w11[11]; +w12[4] += + Gx1[48]*w11[0] + Gx1[49]*w11[1] + Gx1[50]*w11[2] + Gx1[51]*w11[3] + Gx1[52]*w11[4] + Gx1[53]*w11[5] + Gx1[54]*w11[6] + Gx1[55]*w11[7] + Gx1[56]*w11[8] + Gx1[57]*w11[9] + Gx1[58]*w11[10] + Gx1[59]*w11[11]; +w12[5] += + Gx1[60]*w11[0] + Gx1[61]*w11[1] + Gx1[62]*w11[2] + Gx1[63]*w11[3] + Gx1[64]*w11[4] + Gx1[65]*w11[5] + Gx1[66]*w11[6] + Gx1[67]*w11[7] + Gx1[68]*w11[8] + Gx1[69]*w11[9] + Gx1[70]*w11[10] + Gx1[71]*w11[11]; +w12[6] += + Gx1[72]*w11[0] + Gx1[73]*w11[1] + Gx1[74]*w11[2] + Gx1[75]*w11[3] + Gx1[76]*w11[4] + Gx1[77]*w11[5] + Gx1[78]*w11[6] + Gx1[79]*w11[7] + Gx1[80]*w11[8] + Gx1[81]*w11[9] + Gx1[82]*w11[10] + Gx1[83]*w11[11]; +w12[7] += + Gx1[84]*w11[0] + Gx1[85]*w11[1] + Gx1[86]*w11[2] + Gx1[87]*w11[3] + Gx1[88]*w11[4] + Gx1[89]*w11[5] + Gx1[90]*w11[6] + Gx1[91]*w11[7] + Gx1[92]*w11[8] + Gx1[93]*w11[9] + Gx1[94]*w11[10] + Gx1[95]*w11[11]; +w12[8] += + Gx1[96]*w11[0] + Gx1[97]*w11[1] + Gx1[98]*w11[2] + Gx1[99]*w11[3] + Gx1[100]*w11[4] + Gx1[101]*w11[5] + Gx1[102]*w11[6] + Gx1[103]*w11[7] + Gx1[104]*w11[8] + Gx1[105]*w11[9] + Gx1[106]*w11[10] + Gx1[107]*w11[11]; +w12[9] += + Gx1[108]*w11[0] + Gx1[109]*w11[1] + Gx1[110]*w11[2] + Gx1[111]*w11[3] + Gx1[112]*w11[4] + Gx1[113]*w11[5] + Gx1[114]*w11[6] + Gx1[115]*w11[7] + Gx1[116]*w11[8] + Gx1[117]*w11[9] + Gx1[118]*w11[10] + Gx1[119]*w11[11]; +w12[10] += + Gx1[120]*w11[0] + Gx1[121]*w11[1] + Gx1[122]*w11[2] + Gx1[123]*w11[3] + Gx1[124]*w11[4] + Gx1[125]*w11[5] + Gx1[126]*w11[6] + Gx1[127]*w11[7] + Gx1[128]*w11[8] + Gx1[129]*w11[9] + Gx1[130]*w11[10] + Gx1[131]*w11[11]; +w12[11] += + Gx1[132]*w11[0] + Gx1[133]*w11[1] + Gx1[134]*w11[2] + Gx1[135]*w11[3] + Gx1[136]*w11[4] + Gx1[137]*w11[5] + Gx1[138]*w11[6] + Gx1[139]*w11[7] + Gx1[140]*w11[8] + Gx1[141]*w11[9] + Gx1[142]*w11[10] + Gx1[143]*w11[11]; +w12[0] += + Gu1[0]*U1[0] + Gu1[1]*U1[1] + Gu1[2]*U1[2] + Gu1[3]*U1[3]; +w12[1] += + Gu1[4]*U1[0] + Gu1[5]*U1[1] + Gu1[6]*U1[2] + Gu1[7]*U1[3]; +w12[2] += + Gu1[8]*U1[0] + Gu1[9]*U1[1] + Gu1[10]*U1[2] + Gu1[11]*U1[3]; +w12[3] += + Gu1[12]*U1[0] + Gu1[13]*U1[1] + Gu1[14]*U1[2] + Gu1[15]*U1[3]; +w12[4] += + Gu1[16]*U1[0] + Gu1[17]*U1[1] + Gu1[18]*U1[2] + Gu1[19]*U1[3]; +w12[5] += + Gu1[20]*U1[0] + Gu1[21]*U1[1] + Gu1[22]*U1[2] + Gu1[23]*U1[3]; +w12[6] += + Gu1[24]*U1[0] + Gu1[25]*U1[1] + Gu1[26]*U1[2] + Gu1[27]*U1[3]; +w12[7] += + Gu1[28]*U1[0] + Gu1[29]*U1[1] + Gu1[30]*U1[2] + Gu1[31]*U1[3]; +w12[8] += + Gu1[32]*U1[0] + Gu1[33]*U1[1] + Gu1[34]*U1[2] + Gu1[35]*U1[3]; +w12[9] += + Gu1[36]*U1[0] + Gu1[37]*U1[1] + Gu1[38]*U1[2] + Gu1[39]*U1[3]; +w12[10] += + Gu1[40]*U1[0] + Gu1[41]*U1[1] + Gu1[42]*U1[2] + Gu1[43]*U1[3]; +w12[11] += + Gu1[44]*U1[0] + Gu1[45]*U1[1] + Gu1[46]*U1[2] + Gu1[47]*U1[3]; +} + +void acado_copyHTH( int iRow, int iCol ) +{ +acadoWorkspace.H[(iRow * 320) + (iCol * 4)] = acadoWorkspace.H[(iCol * 320) + (iRow * 4)]; +acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 1)] = acadoWorkspace.H[(iCol * 320 + 80) + (iRow * 4)]; +acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 2)] = acadoWorkspace.H[(iCol * 320 + 160) + (iRow * 4)]; +acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 3)] = acadoWorkspace.H[(iCol * 320 + 240) + (iRow * 4)]; +acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4)] = acadoWorkspace.H[(iCol * 320) + (iRow * 4 + 1)]; +acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 1)] = acadoWorkspace.H[(iCol * 320 + 80) + (iRow * 4 + 1)]; +acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 2)] = acadoWorkspace.H[(iCol * 320 + 160) + (iRow * 4 + 1)]; +acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 3)] = acadoWorkspace.H[(iCol * 320 + 240) + (iRow * 4 + 1)]; +acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4)] = acadoWorkspace.H[(iCol * 320) + (iRow * 4 + 2)]; +acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 1)] = acadoWorkspace.H[(iCol * 320 + 80) + (iRow * 4 + 2)]; +acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 2)] = acadoWorkspace.H[(iCol * 320 + 160) + (iRow * 4 + 2)]; +acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 3)] = acadoWorkspace.H[(iCol * 320 + 240) + (iRow * 4 + 2)]; +acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4)] = acadoWorkspace.H[(iCol * 320) + (iRow * 4 + 3)]; +acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 1)] = acadoWorkspace.H[(iCol * 320 + 80) + (iRow * 4 + 3)]; +acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 2)] = acadoWorkspace.H[(iCol * 320 + 160) + (iRow * 4 + 3)]; +acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 3)] = acadoWorkspace.H[(iCol * 320 + 240) + (iRow * 4 + 3)]; +} + +void acado_multRDy( real_t* const R2, real_t* const Dy1, real_t* const RDy1 ) +{ +RDy1[0] = + R2[0]*Dy1[0] + R2[1]*Dy1[1] + R2[2]*Dy1[2] + R2[3]*Dy1[3] + R2[4]*Dy1[4] + R2[5]*Dy1[5] + R2[6]*Dy1[6] + R2[7]*Dy1[7] + R2[8]*Dy1[8] + R2[9]*Dy1[9] + R2[10]*Dy1[10] + R2[11]*Dy1[11] + R2[12]*Dy1[12] + R2[13]*Dy1[13] + R2[14]*Dy1[14] + R2[15]*Dy1[15]; +RDy1[1] = + R2[16]*Dy1[0] + R2[17]*Dy1[1] + R2[18]*Dy1[2] + R2[19]*Dy1[3] + R2[20]*Dy1[4] + R2[21]*Dy1[5] + R2[22]*Dy1[6] + R2[23]*Dy1[7] + R2[24]*Dy1[8] + R2[25]*Dy1[9] + R2[26]*Dy1[10] + R2[27]*Dy1[11] + R2[28]*Dy1[12] + R2[29]*Dy1[13] + R2[30]*Dy1[14] + R2[31]*Dy1[15]; +RDy1[2] = + R2[32]*Dy1[0] + R2[33]*Dy1[1] + R2[34]*Dy1[2] + R2[35]*Dy1[3] + R2[36]*Dy1[4] + R2[37]*Dy1[5] + R2[38]*Dy1[6] + R2[39]*Dy1[7] + R2[40]*Dy1[8] + R2[41]*Dy1[9] + R2[42]*Dy1[10] + R2[43]*Dy1[11] + R2[44]*Dy1[12] + R2[45]*Dy1[13] + R2[46]*Dy1[14] + R2[47]*Dy1[15]; +RDy1[3] = + R2[48]*Dy1[0] + R2[49]*Dy1[1] + R2[50]*Dy1[2] + R2[51]*Dy1[3] + R2[52]*Dy1[4] + R2[53]*Dy1[5] + R2[54]*Dy1[6] + R2[55]*Dy1[7] + R2[56]*Dy1[8] + R2[57]*Dy1[9] + R2[58]*Dy1[10] + R2[59]*Dy1[11] + R2[60]*Dy1[12] + R2[61]*Dy1[13] + R2[62]*Dy1[14] + R2[63]*Dy1[15]; +} + +void acado_multQDy( real_t* const Q2, real_t* const Dy1, real_t* const QDy1 ) +{ +QDy1[0] = + Q2[0]*Dy1[0] + Q2[1]*Dy1[1] + Q2[2]*Dy1[2] + Q2[3]*Dy1[3] + Q2[4]*Dy1[4] + Q2[5]*Dy1[5] + Q2[6]*Dy1[6] + Q2[7]*Dy1[7] + Q2[8]*Dy1[8] + Q2[9]*Dy1[9] + Q2[10]*Dy1[10] + Q2[11]*Dy1[11] + Q2[12]*Dy1[12] + Q2[13]*Dy1[13] + Q2[14]*Dy1[14] + Q2[15]*Dy1[15]; +QDy1[1] = + Q2[16]*Dy1[0] + Q2[17]*Dy1[1] + Q2[18]*Dy1[2] + Q2[19]*Dy1[3] + Q2[20]*Dy1[4] + Q2[21]*Dy1[5] + Q2[22]*Dy1[6] + Q2[23]*Dy1[7] + Q2[24]*Dy1[8] + Q2[25]*Dy1[9] + Q2[26]*Dy1[10] + Q2[27]*Dy1[11] + Q2[28]*Dy1[12] + Q2[29]*Dy1[13] + Q2[30]*Dy1[14] + Q2[31]*Dy1[15]; +QDy1[2] = + Q2[32]*Dy1[0] + Q2[33]*Dy1[1] + Q2[34]*Dy1[2] + Q2[35]*Dy1[3] + Q2[36]*Dy1[4] + Q2[37]*Dy1[5] + Q2[38]*Dy1[6] + Q2[39]*Dy1[7] + Q2[40]*Dy1[8] + Q2[41]*Dy1[9] + Q2[42]*Dy1[10] + Q2[43]*Dy1[11] + Q2[44]*Dy1[12] + Q2[45]*Dy1[13] + Q2[46]*Dy1[14] + Q2[47]*Dy1[15]; +QDy1[3] = + Q2[48]*Dy1[0] + Q2[49]*Dy1[1] + Q2[50]*Dy1[2] + Q2[51]*Dy1[3] + Q2[52]*Dy1[4] + Q2[53]*Dy1[5] + Q2[54]*Dy1[6] + Q2[55]*Dy1[7] + Q2[56]*Dy1[8] + Q2[57]*Dy1[9] + Q2[58]*Dy1[10] + Q2[59]*Dy1[11] + Q2[60]*Dy1[12] + Q2[61]*Dy1[13] + Q2[62]*Dy1[14] + Q2[63]*Dy1[15]; +QDy1[4] = + Q2[64]*Dy1[0] + Q2[65]*Dy1[1] + Q2[66]*Dy1[2] + Q2[67]*Dy1[3] + Q2[68]*Dy1[4] + Q2[69]*Dy1[5] + Q2[70]*Dy1[6] + Q2[71]*Dy1[7] + Q2[72]*Dy1[8] + Q2[73]*Dy1[9] + Q2[74]*Dy1[10] + Q2[75]*Dy1[11] + Q2[76]*Dy1[12] + Q2[77]*Dy1[13] + Q2[78]*Dy1[14] + Q2[79]*Dy1[15]; +QDy1[5] = + Q2[80]*Dy1[0] + Q2[81]*Dy1[1] + Q2[82]*Dy1[2] + Q2[83]*Dy1[3] + Q2[84]*Dy1[4] + Q2[85]*Dy1[5] + Q2[86]*Dy1[6] + Q2[87]*Dy1[7] + Q2[88]*Dy1[8] + Q2[89]*Dy1[9] + Q2[90]*Dy1[10] + Q2[91]*Dy1[11] + Q2[92]*Dy1[12] + Q2[93]*Dy1[13] + Q2[94]*Dy1[14] + Q2[95]*Dy1[15]; +QDy1[6] = + Q2[96]*Dy1[0] + Q2[97]*Dy1[1] + Q2[98]*Dy1[2] + Q2[99]*Dy1[3] + Q2[100]*Dy1[4] + Q2[101]*Dy1[5] + Q2[102]*Dy1[6] + Q2[103]*Dy1[7] + Q2[104]*Dy1[8] + Q2[105]*Dy1[9] + Q2[106]*Dy1[10] + Q2[107]*Dy1[11] + Q2[108]*Dy1[12] + Q2[109]*Dy1[13] + Q2[110]*Dy1[14] + Q2[111]*Dy1[15]; +QDy1[7] = + Q2[112]*Dy1[0] + Q2[113]*Dy1[1] + Q2[114]*Dy1[2] + Q2[115]*Dy1[3] + Q2[116]*Dy1[4] + Q2[117]*Dy1[5] + Q2[118]*Dy1[6] + Q2[119]*Dy1[7] + Q2[120]*Dy1[8] + Q2[121]*Dy1[9] + Q2[122]*Dy1[10] + Q2[123]*Dy1[11] + Q2[124]*Dy1[12] + Q2[125]*Dy1[13] + Q2[126]*Dy1[14] + Q2[127]*Dy1[15]; +QDy1[8] = + Q2[128]*Dy1[0] + Q2[129]*Dy1[1] + Q2[130]*Dy1[2] + Q2[131]*Dy1[3] + Q2[132]*Dy1[4] + Q2[133]*Dy1[5] + Q2[134]*Dy1[6] + Q2[135]*Dy1[7] + Q2[136]*Dy1[8] + Q2[137]*Dy1[9] + Q2[138]*Dy1[10] + Q2[139]*Dy1[11] + Q2[140]*Dy1[12] + Q2[141]*Dy1[13] + Q2[142]*Dy1[14] + Q2[143]*Dy1[15]; +QDy1[9] = + Q2[144]*Dy1[0] + Q2[145]*Dy1[1] + Q2[146]*Dy1[2] + Q2[147]*Dy1[3] + Q2[148]*Dy1[4] + Q2[149]*Dy1[5] + Q2[150]*Dy1[6] + Q2[151]*Dy1[7] + Q2[152]*Dy1[8] + Q2[153]*Dy1[9] + Q2[154]*Dy1[10] + Q2[155]*Dy1[11] + Q2[156]*Dy1[12] + Q2[157]*Dy1[13] + Q2[158]*Dy1[14] + Q2[159]*Dy1[15]; +QDy1[10] = + Q2[160]*Dy1[0] + Q2[161]*Dy1[1] + Q2[162]*Dy1[2] + Q2[163]*Dy1[3] + Q2[164]*Dy1[4] + Q2[165]*Dy1[5] + Q2[166]*Dy1[6] + Q2[167]*Dy1[7] + Q2[168]*Dy1[8] + Q2[169]*Dy1[9] + Q2[170]*Dy1[10] + Q2[171]*Dy1[11] + Q2[172]*Dy1[12] + Q2[173]*Dy1[13] + Q2[174]*Dy1[14] + Q2[175]*Dy1[15]; +QDy1[11] = + Q2[176]*Dy1[0] + Q2[177]*Dy1[1] + Q2[178]*Dy1[2] + Q2[179]*Dy1[3] + Q2[180]*Dy1[4] + Q2[181]*Dy1[5] + Q2[182]*Dy1[6] + Q2[183]*Dy1[7] + Q2[184]*Dy1[8] + Q2[185]*Dy1[9] + Q2[186]*Dy1[10] + Q2[187]*Dy1[11] + Q2[188]*Dy1[12] + Q2[189]*Dy1[13] + Q2[190]*Dy1[14] + Q2[191]*Dy1[15]; +} + +void acado_condensePrep( ) +{ +int lRun1; +int lRun2; +int lRun3; +for (lRun2 = 0; lRun2 < 20; ++lRun2) +{ +lRun3 = ((lRun2) * (lRun2 * -1 + 41)) / (2); +acado_moveGuE( &(acadoWorkspace.evGu[ lRun2 * 48 ]), &(acadoWorkspace.E[ lRun3 * 48 ]) ); +for (lRun1 = 1; lRun1 < lRun2 * -1 + 20; ++lRun1) +{ +acado_multGxGu( &(acadoWorkspace.evGx[ ((((lRun2) + (lRun1)) * (12)) * (12)) + (0) ]), &(acadoWorkspace.E[ (((((lRun3) + (lRun1)) - (1)) * (12)) * (4)) + (0) ]), &(acadoWorkspace.E[ ((((lRun3) + (lRun1)) * (12)) * (4)) + (0) ]) ); +} + +acado_multGxGu( acadoWorkspace.QN1, &(acadoWorkspace.E[ ((((((lRun3) - (lRun2)) + (20)) - (1)) * (12)) * (4)) + (0) ]), acadoWorkspace.W1 ); +for (lRun1 = 19; lRun2 < lRun1; --lRun1) +{ +acado_multBTW1( &(acadoWorkspace.evGu[ lRun1 * 48 ]), acadoWorkspace.W1, lRun1, lRun2 ); +acado_multGxTGu( &(acadoWorkspace.evGx[ lRun1 * 144 ]), acadoWorkspace.W1, acadoWorkspace.W2 ); +acado_multQEW2( &(acadoWorkspace.Q1[ lRun1 * 144 ]), &(acadoWorkspace.E[ ((((((lRun3) + (lRun1)) - (lRun2)) - (1)) * (12)) * (4)) + (0) ]), acadoWorkspace.W2, acadoWorkspace.W1 ); +} +acado_multBTW1_R1( &(acadoWorkspace.R1[ lRun2 * 16 ]), &(acadoWorkspace.evGu[ lRun2 * 48 ]), acadoWorkspace.W1, lRun2 ); +} + +acado_copyHTH( 0, 1 ); +acado_copyHTH( 0, 2 ); +acado_copyHTH( 1, 2 ); +acado_copyHTH( 0, 3 ); +acado_copyHTH( 1, 3 ); +acado_copyHTH( 2, 3 ); +acado_copyHTH( 0, 4 ); +acado_copyHTH( 1, 4 ); +acado_copyHTH( 2, 4 ); +acado_copyHTH( 3, 4 ); +acado_copyHTH( 0, 5 ); +acado_copyHTH( 1, 5 ); +acado_copyHTH( 2, 5 ); +acado_copyHTH( 3, 5 ); +acado_copyHTH( 4, 5 ); +acado_copyHTH( 0, 6 ); +acado_copyHTH( 1, 6 ); +acado_copyHTH( 2, 6 ); +acado_copyHTH( 3, 6 ); +acado_copyHTH( 4, 6 ); +acado_copyHTH( 5, 6 ); +acado_copyHTH( 0, 7 ); +acado_copyHTH( 1, 7 ); +acado_copyHTH( 2, 7 ); +acado_copyHTH( 3, 7 ); +acado_copyHTH( 4, 7 ); +acado_copyHTH( 5, 7 ); +acado_copyHTH( 6, 7 ); +acado_copyHTH( 0, 8 ); +acado_copyHTH( 1, 8 ); +acado_copyHTH( 2, 8 ); +acado_copyHTH( 3, 8 ); +acado_copyHTH( 4, 8 ); +acado_copyHTH( 5, 8 ); +acado_copyHTH( 6, 8 ); +acado_copyHTH( 7, 8 ); +acado_copyHTH( 0, 9 ); +acado_copyHTH( 1, 9 ); +acado_copyHTH( 2, 9 ); +acado_copyHTH( 3, 9 ); +acado_copyHTH( 4, 9 ); +acado_copyHTH( 5, 9 ); +acado_copyHTH( 6, 9 ); +acado_copyHTH( 7, 9 ); +acado_copyHTH( 8, 9 ); +acado_copyHTH( 0, 10 ); +acado_copyHTH( 1, 10 ); +acado_copyHTH( 2, 10 ); +acado_copyHTH( 3, 10 ); +acado_copyHTH( 4, 10 ); +acado_copyHTH( 5, 10 ); +acado_copyHTH( 6, 10 ); +acado_copyHTH( 7, 10 ); +acado_copyHTH( 8, 10 ); +acado_copyHTH( 9, 10 ); +acado_copyHTH( 0, 11 ); +acado_copyHTH( 1, 11 ); +acado_copyHTH( 2, 11 ); +acado_copyHTH( 3, 11 ); +acado_copyHTH( 4, 11 ); +acado_copyHTH( 5, 11 ); +acado_copyHTH( 6, 11 ); +acado_copyHTH( 7, 11 ); +acado_copyHTH( 8, 11 ); +acado_copyHTH( 9, 11 ); +acado_copyHTH( 10, 11 ); +acado_copyHTH( 0, 12 ); +acado_copyHTH( 1, 12 ); +acado_copyHTH( 2, 12 ); +acado_copyHTH( 3, 12 ); +acado_copyHTH( 4, 12 ); +acado_copyHTH( 5, 12 ); +acado_copyHTH( 6, 12 ); +acado_copyHTH( 7, 12 ); +acado_copyHTH( 8, 12 ); +acado_copyHTH( 9, 12 ); +acado_copyHTH( 10, 12 ); +acado_copyHTH( 11, 12 ); +acado_copyHTH( 0, 13 ); +acado_copyHTH( 1, 13 ); +acado_copyHTH( 2, 13 ); +acado_copyHTH( 3, 13 ); +acado_copyHTH( 4, 13 ); +acado_copyHTH( 5, 13 ); +acado_copyHTH( 6, 13 ); +acado_copyHTH( 7, 13 ); +acado_copyHTH( 8, 13 ); +acado_copyHTH( 9, 13 ); +acado_copyHTH( 10, 13 ); +acado_copyHTH( 11, 13 ); +acado_copyHTH( 12, 13 ); +acado_copyHTH( 0, 14 ); +acado_copyHTH( 1, 14 ); +acado_copyHTH( 2, 14 ); +acado_copyHTH( 3, 14 ); +acado_copyHTH( 4, 14 ); +acado_copyHTH( 5, 14 ); +acado_copyHTH( 6, 14 ); +acado_copyHTH( 7, 14 ); +acado_copyHTH( 8, 14 ); +acado_copyHTH( 9, 14 ); +acado_copyHTH( 10, 14 ); +acado_copyHTH( 11, 14 ); +acado_copyHTH( 12, 14 ); +acado_copyHTH( 13, 14 ); +acado_copyHTH( 0, 15 ); +acado_copyHTH( 1, 15 ); +acado_copyHTH( 2, 15 ); +acado_copyHTH( 3, 15 ); +acado_copyHTH( 4, 15 ); +acado_copyHTH( 5, 15 ); +acado_copyHTH( 6, 15 ); +acado_copyHTH( 7, 15 ); +acado_copyHTH( 8, 15 ); +acado_copyHTH( 9, 15 ); +acado_copyHTH( 10, 15 ); +acado_copyHTH( 11, 15 ); +acado_copyHTH( 12, 15 ); +acado_copyHTH( 13, 15 ); +acado_copyHTH( 14, 15 ); +acado_copyHTH( 0, 16 ); +acado_copyHTH( 1, 16 ); +acado_copyHTH( 2, 16 ); +acado_copyHTH( 3, 16 ); +acado_copyHTH( 4, 16 ); +acado_copyHTH( 5, 16 ); +acado_copyHTH( 6, 16 ); +acado_copyHTH( 7, 16 ); +acado_copyHTH( 8, 16 ); +acado_copyHTH( 9, 16 ); +acado_copyHTH( 10, 16 ); +acado_copyHTH( 11, 16 ); +acado_copyHTH( 12, 16 ); +acado_copyHTH( 13, 16 ); +acado_copyHTH( 14, 16 ); +acado_copyHTH( 15, 16 ); +acado_copyHTH( 0, 17 ); +acado_copyHTH( 1, 17 ); +acado_copyHTH( 2, 17 ); +acado_copyHTH( 3, 17 ); +acado_copyHTH( 4, 17 ); +acado_copyHTH( 5, 17 ); +acado_copyHTH( 6, 17 ); +acado_copyHTH( 7, 17 ); +acado_copyHTH( 8, 17 ); +acado_copyHTH( 9, 17 ); +acado_copyHTH( 10, 17 ); +acado_copyHTH( 11, 17 ); +acado_copyHTH( 12, 17 ); +acado_copyHTH( 13, 17 ); +acado_copyHTH( 14, 17 ); +acado_copyHTH( 15, 17 ); +acado_copyHTH( 16, 17 ); +acado_copyHTH( 0, 18 ); +acado_copyHTH( 1, 18 ); +acado_copyHTH( 2, 18 ); +acado_copyHTH( 3, 18 ); +acado_copyHTH( 4, 18 ); +acado_copyHTH( 5, 18 ); +acado_copyHTH( 6, 18 ); +acado_copyHTH( 7, 18 ); +acado_copyHTH( 8, 18 ); +acado_copyHTH( 9, 18 ); +acado_copyHTH( 10, 18 ); +acado_copyHTH( 11, 18 ); +acado_copyHTH( 12, 18 ); +acado_copyHTH( 13, 18 ); +acado_copyHTH( 14, 18 ); +acado_copyHTH( 15, 18 ); +acado_copyHTH( 16, 18 ); +acado_copyHTH( 17, 18 ); +acado_copyHTH( 0, 19 ); +acado_copyHTH( 1, 19 ); +acado_copyHTH( 2, 19 ); +acado_copyHTH( 3, 19 ); +acado_copyHTH( 4, 19 ); +acado_copyHTH( 5, 19 ); +acado_copyHTH( 6, 19 ); +acado_copyHTH( 7, 19 ); +acado_copyHTH( 8, 19 ); +acado_copyHTH( 9, 19 ); +acado_copyHTH( 10, 19 ); +acado_copyHTH( 11, 19 ); +acado_copyHTH( 12, 19 ); +acado_copyHTH( 13, 19 ); +acado_copyHTH( 14, 19 ); +acado_copyHTH( 15, 19 ); +acado_copyHTH( 16, 19 ); +acado_copyHTH( 17, 19 ); +acado_copyHTH( 18, 19 ); + +for (lRun1 = 0; lRun1 < 240; ++lRun1) +acadoWorkspace.sbar[lRun1 + 12] = acadoWorkspace.d[lRun1]; + + +} + +void acado_condenseFdb( ) +{ +int lRun1; +acadoWorkspace.Dx0[0] = acadoVariables.x0[0] - acadoVariables.x[0]; +acadoWorkspace.Dx0[1] = acadoVariables.x0[1] - acadoVariables.x[1]; +acadoWorkspace.Dx0[2] = acadoVariables.x0[2] - acadoVariables.x[2]; +acadoWorkspace.Dx0[3] = acadoVariables.x0[3] - acadoVariables.x[3]; +acadoWorkspace.Dx0[4] = acadoVariables.x0[4] - acadoVariables.x[4]; +acadoWorkspace.Dx0[5] = acadoVariables.x0[5] - acadoVariables.x[5]; +acadoWorkspace.Dx0[6] = acadoVariables.x0[6] - acadoVariables.x[6]; +acadoWorkspace.Dx0[7] = acadoVariables.x0[7] - acadoVariables.x[7]; +acadoWorkspace.Dx0[8] = acadoVariables.x0[8] - acadoVariables.x[8]; +acadoWorkspace.Dx0[9] = acadoVariables.x0[9] - acadoVariables.x[9]; +acadoWorkspace.Dx0[10] = acadoVariables.x0[10] - acadoVariables.x[10]; +acadoWorkspace.Dx0[11] = acadoVariables.x0[11] - acadoVariables.x[11]; +for (lRun1 = 0; lRun1 < 320; ++lRun1) +acadoWorkspace.Dy[lRun1] -= acadoVariables.y[lRun1]; + +acadoWorkspace.DyN[0] -= acadoVariables.yN[0]; +acadoWorkspace.DyN[1] -= acadoVariables.yN[1]; +acadoWorkspace.DyN[2] -= acadoVariables.yN[2]; +acadoWorkspace.DyN[3] -= acadoVariables.yN[3]; +acadoWorkspace.DyN[4] -= acadoVariables.yN[4]; +acadoWorkspace.DyN[5] -= acadoVariables.yN[5]; + +acado_multRDy( acadoWorkspace.R2, acadoWorkspace.Dy, acadoWorkspace.g ); +acado_multRDy( &(acadoWorkspace.R2[ 64 ]), &(acadoWorkspace.Dy[ 16 ]), &(acadoWorkspace.g[ 4 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 128 ]), &(acadoWorkspace.Dy[ 32 ]), &(acadoWorkspace.g[ 8 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 192 ]), &(acadoWorkspace.Dy[ 48 ]), &(acadoWorkspace.g[ 12 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 256 ]), &(acadoWorkspace.Dy[ 64 ]), &(acadoWorkspace.g[ 16 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 320 ]), &(acadoWorkspace.Dy[ 80 ]), &(acadoWorkspace.g[ 20 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 384 ]), &(acadoWorkspace.Dy[ 96 ]), &(acadoWorkspace.g[ 24 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 448 ]), &(acadoWorkspace.Dy[ 112 ]), &(acadoWorkspace.g[ 28 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 512 ]), &(acadoWorkspace.Dy[ 128 ]), &(acadoWorkspace.g[ 32 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 576 ]), &(acadoWorkspace.Dy[ 144 ]), &(acadoWorkspace.g[ 36 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 640 ]), &(acadoWorkspace.Dy[ 160 ]), &(acadoWorkspace.g[ 40 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 704 ]), &(acadoWorkspace.Dy[ 176 ]), &(acadoWorkspace.g[ 44 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 768 ]), &(acadoWorkspace.Dy[ 192 ]), &(acadoWorkspace.g[ 48 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 832 ]), &(acadoWorkspace.Dy[ 208 ]), &(acadoWorkspace.g[ 52 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 896 ]), &(acadoWorkspace.Dy[ 224 ]), &(acadoWorkspace.g[ 56 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 960 ]), &(acadoWorkspace.Dy[ 240 ]), &(acadoWorkspace.g[ 60 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1024 ]), &(acadoWorkspace.Dy[ 256 ]), &(acadoWorkspace.g[ 64 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1088 ]), &(acadoWorkspace.Dy[ 272 ]), &(acadoWorkspace.g[ 68 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1152 ]), &(acadoWorkspace.Dy[ 288 ]), &(acadoWorkspace.g[ 72 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1216 ]), &(acadoWorkspace.Dy[ 304 ]), &(acadoWorkspace.g[ 76 ]) ); + +acado_multQDy( acadoWorkspace.Q2, acadoWorkspace.Dy, acadoWorkspace.QDy ); +acado_multQDy( &(acadoWorkspace.Q2[ 192 ]), &(acadoWorkspace.Dy[ 16 ]), &(acadoWorkspace.QDy[ 12 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 384 ]), &(acadoWorkspace.Dy[ 32 ]), &(acadoWorkspace.QDy[ 24 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 576 ]), &(acadoWorkspace.Dy[ 48 ]), &(acadoWorkspace.QDy[ 36 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 768 ]), &(acadoWorkspace.Dy[ 64 ]), &(acadoWorkspace.QDy[ 48 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 960 ]), &(acadoWorkspace.Dy[ 80 ]), &(acadoWorkspace.QDy[ 60 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1152 ]), &(acadoWorkspace.Dy[ 96 ]), &(acadoWorkspace.QDy[ 72 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1344 ]), &(acadoWorkspace.Dy[ 112 ]), &(acadoWorkspace.QDy[ 84 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1536 ]), &(acadoWorkspace.Dy[ 128 ]), &(acadoWorkspace.QDy[ 96 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1728 ]), &(acadoWorkspace.Dy[ 144 ]), &(acadoWorkspace.QDy[ 108 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1920 ]), &(acadoWorkspace.Dy[ 160 ]), &(acadoWorkspace.QDy[ 120 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 2112 ]), &(acadoWorkspace.Dy[ 176 ]), &(acadoWorkspace.QDy[ 132 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 2304 ]), &(acadoWorkspace.Dy[ 192 ]), &(acadoWorkspace.QDy[ 144 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 2496 ]), &(acadoWorkspace.Dy[ 208 ]), &(acadoWorkspace.QDy[ 156 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 2688 ]), &(acadoWorkspace.Dy[ 224 ]), &(acadoWorkspace.QDy[ 168 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 2880 ]), &(acadoWorkspace.Dy[ 240 ]), &(acadoWorkspace.QDy[ 180 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 3072 ]), &(acadoWorkspace.Dy[ 256 ]), &(acadoWorkspace.QDy[ 192 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 3264 ]), &(acadoWorkspace.Dy[ 272 ]), &(acadoWorkspace.QDy[ 204 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 3456 ]), &(acadoWorkspace.Dy[ 288 ]), &(acadoWorkspace.QDy[ 216 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 3648 ]), &(acadoWorkspace.Dy[ 304 ]), &(acadoWorkspace.QDy[ 228 ]) ); + +acadoWorkspace.QDy[240] = + acadoWorkspace.QN2[0]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[1]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[2]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[3]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[4]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[5]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[241] = + acadoWorkspace.QN2[6]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[7]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[8]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[9]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[10]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[11]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[242] = + acadoWorkspace.QN2[12]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[13]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[14]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[15]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[16]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[17]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[243] = + acadoWorkspace.QN2[18]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[19]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[20]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[21]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[22]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[23]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[244] = + acadoWorkspace.QN2[24]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[25]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[26]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[27]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[28]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[29]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[245] = + acadoWorkspace.QN2[30]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[31]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[32]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[33]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[34]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[35]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[246] = + acadoWorkspace.QN2[36]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[37]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[38]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[39]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[40]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[41]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[247] = + acadoWorkspace.QN2[42]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[43]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[44]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[45]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[46]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[47]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[248] = + acadoWorkspace.QN2[48]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[49]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[50]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[51]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[52]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[53]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[249] = + acadoWorkspace.QN2[54]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[55]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[56]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[57]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[58]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[59]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[250] = + acadoWorkspace.QN2[60]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[61]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[62]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[63]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[64]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[65]*acadoWorkspace.DyN[5]; +acadoWorkspace.QDy[251] = + acadoWorkspace.QN2[66]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[67]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[68]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[69]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[70]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[71]*acadoWorkspace.DyN[5]; + +acadoWorkspace.sbar[0] = acadoWorkspace.Dx0[0]; +acadoWorkspace.sbar[1] = acadoWorkspace.Dx0[1]; +acadoWorkspace.sbar[2] = acadoWorkspace.Dx0[2]; +acadoWorkspace.sbar[3] = acadoWorkspace.Dx0[3]; +acadoWorkspace.sbar[4] = acadoWorkspace.Dx0[4]; +acadoWorkspace.sbar[5] = acadoWorkspace.Dx0[5]; +acadoWorkspace.sbar[6] = acadoWorkspace.Dx0[6]; +acadoWorkspace.sbar[7] = acadoWorkspace.Dx0[7]; +acadoWorkspace.sbar[8] = acadoWorkspace.Dx0[8]; +acadoWorkspace.sbar[9] = acadoWorkspace.Dx0[9]; +acadoWorkspace.sbar[10] = acadoWorkspace.Dx0[10]; +acadoWorkspace.sbar[11] = acadoWorkspace.Dx0[11]; +acado_macASbar( acadoWorkspace.evGx, acadoWorkspace.sbar, &(acadoWorkspace.sbar[ 12 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 144 ]), &(acadoWorkspace.sbar[ 12 ]), &(acadoWorkspace.sbar[ 24 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 288 ]), &(acadoWorkspace.sbar[ 24 ]), &(acadoWorkspace.sbar[ 36 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 432 ]), &(acadoWorkspace.sbar[ 36 ]), &(acadoWorkspace.sbar[ 48 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 576 ]), &(acadoWorkspace.sbar[ 48 ]), &(acadoWorkspace.sbar[ 60 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 720 ]), &(acadoWorkspace.sbar[ 60 ]), &(acadoWorkspace.sbar[ 72 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 864 ]), &(acadoWorkspace.sbar[ 72 ]), &(acadoWorkspace.sbar[ 84 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 1008 ]), &(acadoWorkspace.sbar[ 84 ]), &(acadoWorkspace.sbar[ 96 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 1152 ]), &(acadoWorkspace.sbar[ 96 ]), &(acadoWorkspace.sbar[ 108 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 1296 ]), &(acadoWorkspace.sbar[ 108 ]), &(acadoWorkspace.sbar[ 120 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 1440 ]), &(acadoWorkspace.sbar[ 120 ]), &(acadoWorkspace.sbar[ 132 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 1584 ]), &(acadoWorkspace.sbar[ 132 ]), &(acadoWorkspace.sbar[ 144 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 1728 ]), &(acadoWorkspace.sbar[ 144 ]), &(acadoWorkspace.sbar[ 156 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 1872 ]), &(acadoWorkspace.sbar[ 156 ]), &(acadoWorkspace.sbar[ 168 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 2016 ]), &(acadoWorkspace.sbar[ 168 ]), &(acadoWorkspace.sbar[ 180 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 2160 ]), &(acadoWorkspace.sbar[ 180 ]), &(acadoWorkspace.sbar[ 192 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 2304 ]), &(acadoWorkspace.sbar[ 192 ]), &(acadoWorkspace.sbar[ 204 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 2448 ]), &(acadoWorkspace.sbar[ 204 ]), &(acadoWorkspace.sbar[ 216 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 2592 ]), &(acadoWorkspace.sbar[ 216 ]), &(acadoWorkspace.sbar[ 228 ]) ); +acado_macASbar( &(acadoWorkspace.evGx[ 2736 ]), &(acadoWorkspace.sbar[ 228 ]), &(acadoWorkspace.sbar[ 240 ]) ); + +acadoWorkspace.w1[0] = + acadoWorkspace.QN1[0]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[1]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[2]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[3]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[4]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[5]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[6]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[7]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[8]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[9]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[10]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[11]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[240]; +acadoWorkspace.w1[1] = + acadoWorkspace.QN1[12]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[13]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[14]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[15]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[16]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[17]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[18]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[19]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[20]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[21]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[22]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[23]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[241]; +acadoWorkspace.w1[2] = + acadoWorkspace.QN1[24]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[25]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[26]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[27]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[28]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[29]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[30]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[31]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[32]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[33]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[34]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[35]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[242]; +acadoWorkspace.w1[3] = + acadoWorkspace.QN1[36]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[37]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[38]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[39]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[40]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[41]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[42]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[43]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[44]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[45]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[46]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[47]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[243]; +acadoWorkspace.w1[4] = + acadoWorkspace.QN1[48]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[49]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[50]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[51]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[52]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[53]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[54]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[55]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[56]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[57]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[58]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[59]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[244]; +acadoWorkspace.w1[5] = + acadoWorkspace.QN1[60]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[61]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[62]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[63]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[64]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[65]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[66]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[67]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[68]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[69]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[70]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[71]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[245]; +acadoWorkspace.w1[6] = + acadoWorkspace.QN1[72]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[73]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[74]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[75]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[76]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[77]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[78]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[79]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[80]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[81]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[82]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[83]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[246]; +acadoWorkspace.w1[7] = + acadoWorkspace.QN1[84]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[85]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[86]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[87]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[88]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[89]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[90]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[91]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[92]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[93]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[94]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[95]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[247]; +acadoWorkspace.w1[8] = + acadoWorkspace.QN1[96]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[97]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[98]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[99]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[100]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[101]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[102]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[103]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[104]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[105]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[106]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[107]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[248]; +acadoWorkspace.w1[9] = + acadoWorkspace.QN1[108]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[109]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[110]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[111]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[112]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[113]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[114]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[115]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[116]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[117]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[118]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[119]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[249]; +acadoWorkspace.w1[10] = + acadoWorkspace.QN1[120]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[121]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[122]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[123]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[124]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[125]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[126]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[127]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[128]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[129]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[130]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[131]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[250]; +acadoWorkspace.w1[11] = + acadoWorkspace.QN1[132]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[133]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[134]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[135]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[136]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[137]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[138]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[139]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[140]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[141]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[142]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[143]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[251]; +acado_macBTw1( &(acadoWorkspace.evGu[ 912 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 76 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 2736 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 228 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 2736 ]), &(acadoWorkspace.sbar[ 228 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 864 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 72 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 2592 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 216 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 2592 ]), &(acadoWorkspace.sbar[ 216 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 816 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 68 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 2448 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 204 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 2448 ]), &(acadoWorkspace.sbar[ 204 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 768 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 64 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 2304 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 192 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 2304 ]), &(acadoWorkspace.sbar[ 192 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 720 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 60 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 2160 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 180 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 2160 ]), &(acadoWorkspace.sbar[ 180 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 672 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 56 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 2016 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 168 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 2016 ]), &(acadoWorkspace.sbar[ 168 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 624 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 52 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 1872 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 156 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 1872 ]), &(acadoWorkspace.sbar[ 156 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 576 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 48 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 1728 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 144 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 1728 ]), &(acadoWorkspace.sbar[ 144 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 528 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 44 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 1584 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 132 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 1584 ]), &(acadoWorkspace.sbar[ 132 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 480 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 40 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 1440 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 120 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 1440 ]), &(acadoWorkspace.sbar[ 120 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 432 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 36 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 1296 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 108 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 1296 ]), &(acadoWorkspace.sbar[ 108 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 384 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 32 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 1152 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 96 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 1152 ]), &(acadoWorkspace.sbar[ 96 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 336 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 28 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 1008 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 84 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 1008 ]), &(acadoWorkspace.sbar[ 84 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 288 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 24 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 864 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 72 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 864 ]), &(acadoWorkspace.sbar[ 72 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 240 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 20 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 720 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 60 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 720 ]), &(acadoWorkspace.sbar[ 60 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 192 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 16 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 576 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 48 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 576 ]), &(acadoWorkspace.sbar[ 48 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 144 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 12 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 432 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 36 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 432 ]), &(acadoWorkspace.sbar[ 36 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 96 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 8 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 288 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 24 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 288 ]), &(acadoWorkspace.sbar[ 24 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( &(acadoWorkspace.evGu[ 48 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 4 ]) ); +acado_macATw1QDy( &(acadoWorkspace.evGx[ 144 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 12 ]), acadoWorkspace.w2 ); +acado_macQSbarW2( &(acadoWorkspace.Q1[ 144 ]), &(acadoWorkspace.sbar[ 12 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); +acado_macBTw1( acadoWorkspace.evGu, acadoWorkspace.w1, acadoWorkspace.g ); + +acadoWorkspace.lb[0] = acadoVariables.lbValues[0] - acadoVariables.u[0]; +acadoWorkspace.lb[1] = acadoVariables.lbValues[1] - acadoVariables.u[1]; +acadoWorkspace.lb[2] = acadoVariables.lbValues[2] - acadoVariables.u[2]; +acadoWorkspace.lb[3] = acadoVariables.lbValues[3] - acadoVariables.u[3]; +acadoWorkspace.lb[4] = acadoVariables.lbValues[4] - acadoVariables.u[4]; +acadoWorkspace.lb[5] = acadoVariables.lbValues[5] - acadoVariables.u[5]; +acadoWorkspace.lb[6] = acadoVariables.lbValues[6] - acadoVariables.u[6]; +acadoWorkspace.lb[7] = acadoVariables.lbValues[7] - acadoVariables.u[7]; +acadoWorkspace.lb[8] = acadoVariables.lbValues[8] - acadoVariables.u[8]; +acadoWorkspace.lb[9] = acadoVariables.lbValues[9] - acadoVariables.u[9]; +acadoWorkspace.lb[10] = acadoVariables.lbValues[10] - acadoVariables.u[10]; +acadoWorkspace.lb[11] = acadoVariables.lbValues[11] - acadoVariables.u[11]; +acadoWorkspace.lb[12] = acadoVariables.lbValues[12] - acadoVariables.u[12]; +acadoWorkspace.lb[13] = acadoVariables.lbValues[13] - acadoVariables.u[13]; +acadoWorkspace.lb[14] = acadoVariables.lbValues[14] - acadoVariables.u[14]; +acadoWorkspace.lb[15] = acadoVariables.lbValues[15] - acadoVariables.u[15]; +acadoWorkspace.lb[16] = acadoVariables.lbValues[16] - acadoVariables.u[16]; +acadoWorkspace.lb[17] = acadoVariables.lbValues[17] - acadoVariables.u[17]; +acadoWorkspace.lb[18] = acadoVariables.lbValues[18] - acadoVariables.u[18]; +acadoWorkspace.lb[19] = acadoVariables.lbValues[19] - acadoVariables.u[19]; +acadoWorkspace.lb[20] = acadoVariables.lbValues[20] - acadoVariables.u[20]; +acadoWorkspace.lb[21] = acadoVariables.lbValues[21] - acadoVariables.u[21]; +acadoWorkspace.lb[22] = acadoVariables.lbValues[22] - acadoVariables.u[22]; +acadoWorkspace.lb[23] = acadoVariables.lbValues[23] - acadoVariables.u[23]; +acadoWorkspace.lb[24] = acadoVariables.lbValues[24] - acadoVariables.u[24]; +acadoWorkspace.lb[25] = acadoVariables.lbValues[25] - acadoVariables.u[25]; +acadoWorkspace.lb[26] = acadoVariables.lbValues[26] - acadoVariables.u[26]; +acadoWorkspace.lb[27] = acadoVariables.lbValues[27] - acadoVariables.u[27]; +acadoWorkspace.lb[28] = acadoVariables.lbValues[28] - acadoVariables.u[28]; +acadoWorkspace.lb[29] = acadoVariables.lbValues[29] - acadoVariables.u[29]; +acadoWorkspace.lb[30] = acadoVariables.lbValues[30] - acadoVariables.u[30]; +acadoWorkspace.lb[31] = acadoVariables.lbValues[31] - acadoVariables.u[31]; +acadoWorkspace.lb[32] = acadoVariables.lbValues[32] - acadoVariables.u[32]; +acadoWorkspace.lb[33] = acadoVariables.lbValues[33] - acadoVariables.u[33]; +acadoWorkspace.lb[34] = acadoVariables.lbValues[34] - acadoVariables.u[34]; +acadoWorkspace.lb[35] = acadoVariables.lbValues[35] - acadoVariables.u[35]; +acadoWorkspace.lb[36] = acadoVariables.lbValues[36] - acadoVariables.u[36]; +acadoWorkspace.lb[37] = acadoVariables.lbValues[37] - acadoVariables.u[37]; +acadoWorkspace.lb[38] = acadoVariables.lbValues[38] - acadoVariables.u[38]; +acadoWorkspace.lb[39] = acadoVariables.lbValues[39] - acadoVariables.u[39]; +acadoWorkspace.lb[40] = acadoVariables.lbValues[40] - acadoVariables.u[40]; +acadoWorkspace.lb[41] = acadoVariables.lbValues[41] - acadoVariables.u[41]; +acadoWorkspace.lb[42] = acadoVariables.lbValues[42] - acadoVariables.u[42]; +acadoWorkspace.lb[43] = acadoVariables.lbValues[43] - acadoVariables.u[43]; +acadoWorkspace.lb[44] = acadoVariables.lbValues[44] - acadoVariables.u[44]; +acadoWorkspace.lb[45] = acadoVariables.lbValues[45] - acadoVariables.u[45]; +acadoWorkspace.lb[46] = acadoVariables.lbValues[46] - acadoVariables.u[46]; +acadoWorkspace.lb[47] = acadoVariables.lbValues[47] - acadoVariables.u[47]; +acadoWorkspace.lb[48] = acadoVariables.lbValues[48] - acadoVariables.u[48]; +acadoWorkspace.lb[49] = acadoVariables.lbValues[49] - acadoVariables.u[49]; +acadoWorkspace.lb[50] = acadoVariables.lbValues[50] - acadoVariables.u[50]; +acadoWorkspace.lb[51] = acadoVariables.lbValues[51] - acadoVariables.u[51]; +acadoWorkspace.lb[52] = acadoVariables.lbValues[52] - acadoVariables.u[52]; +acadoWorkspace.lb[53] = acadoVariables.lbValues[53] - acadoVariables.u[53]; +acadoWorkspace.lb[54] = acadoVariables.lbValues[54] - acadoVariables.u[54]; +acadoWorkspace.lb[55] = acadoVariables.lbValues[55] - acadoVariables.u[55]; +acadoWorkspace.lb[56] = acadoVariables.lbValues[56] - acadoVariables.u[56]; +acadoWorkspace.lb[57] = acadoVariables.lbValues[57] - acadoVariables.u[57]; +acadoWorkspace.lb[58] = acadoVariables.lbValues[58] - acadoVariables.u[58]; +acadoWorkspace.lb[59] = acadoVariables.lbValues[59] - acadoVariables.u[59]; +acadoWorkspace.lb[60] = acadoVariables.lbValues[60] - acadoVariables.u[60]; +acadoWorkspace.lb[61] = acadoVariables.lbValues[61] - acadoVariables.u[61]; +acadoWorkspace.lb[62] = acadoVariables.lbValues[62] - acadoVariables.u[62]; +acadoWorkspace.lb[63] = acadoVariables.lbValues[63] - acadoVariables.u[63]; +acadoWorkspace.lb[64] = acadoVariables.lbValues[64] - acadoVariables.u[64]; +acadoWorkspace.lb[65] = acadoVariables.lbValues[65] - acadoVariables.u[65]; +acadoWorkspace.lb[66] = acadoVariables.lbValues[66] - acadoVariables.u[66]; +acadoWorkspace.lb[67] = acadoVariables.lbValues[67] - acadoVariables.u[67]; +acadoWorkspace.lb[68] = acadoVariables.lbValues[68] - acadoVariables.u[68]; +acadoWorkspace.lb[69] = acadoVariables.lbValues[69] - acadoVariables.u[69]; +acadoWorkspace.lb[70] = acadoVariables.lbValues[70] - acadoVariables.u[70]; +acadoWorkspace.lb[71] = acadoVariables.lbValues[71] - acadoVariables.u[71]; +acadoWorkspace.lb[72] = acadoVariables.lbValues[72] - acadoVariables.u[72]; +acadoWorkspace.lb[73] = acadoVariables.lbValues[73] - acadoVariables.u[73]; +acadoWorkspace.lb[74] = acadoVariables.lbValues[74] - acadoVariables.u[74]; +acadoWorkspace.lb[75] = acadoVariables.lbValues[75] - acadoVariables.u[75]; +acadoWorkspace.lb[76] = acadoVariables.lbValues[76] - acadoVariables.u[76]; +acadoWorkspace.lb[77] = acadoVariables.lbValues[77] - acadoVariables.u[77]; +acadoWorkspace.lb[78] = acadoVariables.lbValues[78] - acadoVariables.u[78]; +acadoWorkspace.lb[79] = acadoVariables.lbValues[79] - acadoVariables.u[79]; +acadoWorkspace.ub[0] = acadoVariables.ubValues[0] - acadoVariables.u[0]; +acadoWorkspace.ub[1] = acadoVariables.ubValues[1] - acadoVariables.u[1]; +acadoWorkspace.ub[2] = acadoVariables.ubValues[2] - acadoVariables.u[2]; +acadoWorkspace.ub[3] = acadoVariables.ubValues[3] - acadoVariables.u[3]; +acadoWorkspace.ub[4] = acadoVariables.ubValues[4] - acadoVariables.u[4]; +acadoWorkspace.ub[5] = acadoVariables.ubValues[5] - acadoVariables.u[5]; +acadoWorkspace.ub[6] = acadoVariables.ubValues[6] - acadoVariables.u[6]; +acadoWorkspace.ub[7] = acadoVariables.ubValues[7] - acadoVariables.u[7]; +acadoWorkspace.ub[8] = acadoVariables.ubValues[8] - acadoVariables.u[8]; +acadoWorkspace.ub[9] = acadoVariables.ubValues[9] - acadoVariables.u[9]; +acadoWorkspace.ub[10] = acadoVariables.ubValues[10] - acadoVariables.u[10]; +acadoWorkspace.ub[11] = acadoVariables.ubValues[11] - acadoVariables.u[11]; +acadoWorkspace.ub[12] = acadoVariables.ubValues[12] - acadoVariables.u[12]; +acadoWorkspace.ub[13] = acadoVariables.ubValues[13] - acadoVariables.u[13]; +acadoWorkspace.ub[14] = acadoVariables.ubValues[14] - acadoVariables.u[14]; +acadoWorkspace.ub[15] = acadoVariables.ubValues[15] - acadoVariables.u[15]; +acadoWorkspace.ub[16] = acadoVariables.ubValues[16] - acadoVariables.u[16]; +acadoWorkspace.ub[17] = acadoVariables.ubValues[17] - acadoVariables.u[17]; +acadoWorkspace.ub[18] = acadoVariables.ubValues[18] - acadoVariables.u[18]; +acadoWorkspace.ub[19] = acadoVariables.ubValues[19] - acadoVariables.u[19]; +acadoWorkspace.ub[20] = acadoVariables.ubValues[20] - acadoVariables.u[20]; +acadoWorkspace.ub[21] = acadoVariables.ubValues[21] - acadoVariables.u[21]; +acadoWorkspace.ub[22] = acadoVariables.ubValues[22] - acadoVariables.u[22]; +acadoWorkspace.ub[23] = acadoVariables.ubValues[23] - acadoVariables.u[23]; +acadoWorkspace.ub[24] = acadoVariables.ubValues[24] - acadoVariables.u[24]; +acadoWorkspace.ub[25] = acadoVariables.ubValues[25] - acadoVariables.u[25]; +acadoWorkspace.ub[26] = acadoVariables.ubValues[26] - acadoVariables.u[26]; +acadoWorkspace.ub[27] = acadoVariables.ubValues[27] - acadoVariables.u[27]; +acadoWorkspace.ub[28] = acadoVariables.ubValues[28] - acadoVariables.u[28]; +acadoWorkspace.ub[29] = acadoVariables.ubValues[29] - acadoVariables.u[29]; +acadoWorkspace.ub[30] = acadoVariables.ubValues[30] - acadoVariables.u[30]; +acadoWorkspace.ub[31] = acadoVariables.ubValues[31] - acadoVariables.u[31]; +acadoWorkspace.ub[32] = acadoVariables.ubValues[32] - acadoVariables.u[32]; +acadoWorkspace.ub[33] = acadoVariables.ubValues[33] - acadoVariables.u[33]; +acadoWorkspace.ub[34] = acadoVariables.ubValues[34] - acadoVariables.u[34]; +acadoWorkspace.ub[35] = acadoVariables.ubValues[35] - acadoVariables.u[35]; +acadoWorkspace.ub[36] = acadoVariables.ubValues[36] - acadoVariables.u[36]; +acadoWorkspace.ub[37] = acadoVariables.ubValues[37] - acadoVariables.u[37]; +acadoWorkspace.ub[38] = acadoVariables.ubValues[38] - acadoVariables.u[38]; +acadoWorkspace.ub[39] = acadoVariables.ubValues[39] - acadoVariables.u[39]; +acadoWorkspace.ub[40] = acadoVariables.ubValues[40] - acadoVariables.u[40]; +acadoWorkspace.ub[41] = acadoVariables.ubValues[41] - acadoVariables.u[41]; +acadoWorkspace.ub[42] = acadoVariables.ubValues[42] - acadoVariables.u[42]; +acadoWorkspace.ub[43] = acadoVariables.ubValues[43] - acadoVariables.u[43]; +acadoWorkspace.ub[44] = acadoVariables.ubValues[44] - acadoVariables.u[44]; +acadoWorkspace.ub[45] = acadoVariables.ubValues[45] - acadoVariables.u[45]; +acadoWorkspace.ub[46] = acadoVariables.ubValues[46] - acadoVariables.u[46]; +acadoWorkspace.ub[47] = acadoVariables.ubValues[47] - acadoVariables.u[47]; +acadoWorkspace.ub[48] = acadoVariables.ubValues[48] - acadoVariables.u[48]; +acadoWorkspace.ub[49] = acadoVariables.ubValues[49] - acadoVariables.u[49]; +acadoWorkspace.ub[50] = acadoVariables.ubValues[50] - acadoVariables.u[50]; +acadoWorkspace.ub[51] = acadoVariables.ubValues[51] - acadoVariables.u[51]; +acadoWorkspace.ub[52] = acadoVariables.ubValues[52] - acadoVariables.u[52]; +acadoWorkspace.ub[53] = acadoVariables.ubValues[53] - acadoVariables.u[53]; +acadoWorkspace.ub[54] = acadoVariables.ubValues[54] - acadoVariables.u[54]; +acadoWorkspace.ub[55] = acadoVariables.ubValues[55] - acadoVariables.u[55]; +acadoWorkspace.ub[56] = acadoVariables.ubValues[56] - acadoVariables.u[56]; +acadoWorkspace.ub[57] = acadoVariables.ubValues[57] - acadoVariables.u[57]; +acadoWorkspace.ub[58] = acadoVariables.ubValues[58] - acadoVariables.u[58]; +acadoWorkspace.ub[59] = acadoVariables.ubValues[59] - acadoVariables.u[59]; +acadoWorkspace.ub[60] = acadoVariables.ubValues[60] - acadoVariables.u[60]; +acadoWorkspace.ub[61] = acadoVariables.ubValues[61] - acadoVariables.u[61]; +acadoWorkspace.ub[62] = acadoVariables.ubValues[62] - acadoVariables.u[62]; +acadoWorkspace.ub[63] = acadoVariables.ubValues[63] - acadoVariables.u[63]; +acadoWorkspace.ub[64] = acadoVariables.ubValues[64] - acadoVariables.u[64]; +acadoWorkspace.ub[65] = acadoVariables.ubValues[65] - acadoVariables.u[65]; +acadoWorkspace.ub[66] = acadoVariables.ubValues[66] - acadoVariables.u[66]; +acadoWorkspace.ub[67] = acadoVariables.ubValues[67] - acadoVariables.u[67]; +acadoWorkspace.ub[68] = acadoVariables.ubValues[68] - acadoVariables.u[68]; +acadoWorkspace.ub[69] = acadoVariables.ubValues[69] - acadoVariables.u[69]; +acadoWorkspace.ub[70] = acadoVariables.ubValues[70] - acadoVariables.u[70]; +acadoWorkspace.ub[71] = acadoVariables.ubValues[71] - acadoVariables.u[71]; +acadoWorkspace.ub[72] = acadoVariables.ubValues[72] - acadoVariables.u[72]; +acadoWorkspace.ub[73] = acadoVariables.ubValues[73] - acadoVariables.u[73]; +acadoWorkspace.ub[74] = acadoVariables.ubValues[74] - acadoVariables.u[74]; +acadoWorkspace.ub[75] = acadoVariables.ubValues[75] - acadoVariables.u[75]; +acadoWorkspace.ub[76] = acadoVariables.ubValues[76] - acadoVariables.u[76]; +acadoWorkspace.ub[77] = acadoVariables.ubValues[77] - acadoVariables.u[77]; +acadoWorkspace.ub[78] = acadoVariables.ubValues[78] - acadoVariables.u[78]; +acadoWorkspace.ub[79] = acadoVariables.ubValues[79] - acadoVariables.u[79]; + +} + +void acado_expand( ) +{ +int lRun1; +acadoVariables.u[0] += acadoWorkspace.x[0]; +acadoVariables.u[1] += acadoWorkspace.x[1]; +acadoVariables.u[2] += acadoWorkspace.x[2]; +acadoVariables.u[3] += acadoWorkspace.x[3]; +acadoVariables.u[4] += acadoWorkspace.x[4]; +acadoVariables.u[5] += acadoWorkspace.x[5]; +acadoVariables.u[6] += acadoWorkspace.x[6]; +acadoVariables.u[7] += acadoWorkspace.x[7]; +acadoVariables.u[8] += acadoWorkspace.x[8]; +acadoVariables.u[9] += acadoWorkspace.x[9]; +acadoVariables.u[10] += acadoWorkspace.x[10]; +acadoVariables.u[11] += acadoWorkspace.x[11]; +acadoVariables.u[12] += acadoWorkspace.x[12]; +acadoVariables.u[13] += acadoWorkspace.x[13]; +acadoVariables.u[14] += acadoWorkspace.x[14]; +acadoVariables.u[15] += acadoWorkspace.x[15]; +acadoVariables.u[16] += acadoWorkspace.x[16]; +acadoVariables.u[17] += acadoWorkspace.x[17]; +acadoVariables.u[18] += acadoWorkspace.x[18]; +acadoVariables.u[19] += acadoWorkspace.x[19]; +acadoVariables.u[20] += acadoWorkspace.x[20]; +acadoVariables.u[21] += acadoWorkspace.x[21]; +acadoVariables.u[22] += acadoWorkspace.x[22]; +acadoVariables.u[23] += acadoWorkspace.x[23]; +acadoVariables.u[24] += acadoWorkspace.x[24]; +acadoVariables.u[25] += acadoWorkspace.x[25]; +acadoVariables.u[26] += acadoWorkspace.x[26]; +acadoVariables.u[27] += acadoWorkspace.x[27]; +acadoVariables.u[28] += acadoWorkspace.x[28]; +acadoVariables.u[29] += acadoWorkspace.x[29]; +acadoVariables.u[30] += acadoWorkspace.x[30]; +acadoVariables.u[31] += acadoWorkspace.x[31]; +acadoVariables.u[32] += acadoWorkspace.x[32]; +acadoVariables.u[33] += acadoWorkspace.x[33]; +acadoVariables.u[34] += acadoWorkspace.x[34]; +acadoVariables.u[35] += acadoWorkspace.x[35]; +acadoVariables.u[36] += acadoWorkspace.x[36]; +acadoVariables.u[37] += acadoWorkspace.x[37]; +acadoVariables.u[38] += acadoWorkspace.x[38]; +acadoVariables.u[39] += acadoWorkspace.x[39]; +acadoVariables.u[40] += acadoWorkspace.x[40]; +acadoVariables.u[41] += acadoWorkspace.x[41]; +acadoVariables.u[42] += acadoWorkspace.x[42]; +acadoVariables.u[43] += acadoWorkspace.x[43]; +acadoVariables.u[44] += acadoWorkspace.x[44]; +acadoVariables.u[45] += acadoWorkspace.x[45]; +acadoVariables.u[46] += acadoWorkspace.x[46]; +acadoVariables.u[47] += acadoWorkspace.x[47]; +acadoVariables.u[48] += acadoWorkspace.x[48]; +acadoVariables.u[49] += acadoWorkspace.x[49]; +acadoVariables.u[50] += acadoWorkspace.x[50]; +acadoVariables.u[51] += acadoWorkspace.x[51]; +acadoVariables.u[52] += acadoWorkspace.x[52]; +acadoVariables.u[53] += acadoWorkspace.x[53]; +acadoVariables.u[54] += acadoWorkspace.x[54]; +acadoVariables.u[55] += acadoWorkspace.x[55]; +acadoVariables.u[56] += acadoWorkspace.x[56]; +acadoVariables.u[57] += acadoWorkspace.x[57]; +acadoVariables.u[58] += acadoWorkspace.x[58]; +acadoVariables.u[59] += acadoWorkspace.x[59]; +acadoVariables.u[60] += acadoWorkspace.x[60]; +acadoVariables.u[61] += acadoWorkspace.x[61]; +acadoVariables.u[62] += acadoWorkspace.x[62]; +acadoVariables.u[63] += acadoWorkspace.x[63]; +acadoVariables.u[64] += acadoWorkspace.x[64]; +acadoVariables.u[65] += acadoWorkspace.x[65]; +acadoVariables.u[66] += acadoWorkspace.x[66]; +acadoVariables.u[67] += acadoWorkspace.x[67]; +acadoVariables.u[68] += acadoWorkspace.x[68]; +acadoVariables.u[69] += acadoWorkspace.x[69]; +acadoVariables.u[70] += acadoWorkspace.x[70]; +acadoVariables.u[71] += acadoWorkspace.x[71]; +acadoVariables.u[72] += acadoWorkspace.x[72]; +acadoVariables.u[73] += acadoWorkspace.x[73]; +acadoVariables.u[74] += acadoWorkspace.x[74]; +acadoVariables.u[75] += acadoWorkspace.x[75]; +acadoVariables.u[76] += acadoWorkspace.x[76]; +acadoVariables.u[77] += acadoWorkspace.x[77]; +acadoVariables.u[78] += acadoWorkspace.x[78]; +acadoVariables.u[79] += acadoWorkspace.x[79]; +acadoWorkspace.sbar[0] = acadoWorkspace.Dx0[0]; +acadoWorkspace.sbar[1] = acadoWorkspace.Dx0[1]; +acadoWorkspace.sbar[2] = acadoWorkspace.Dx0[2]; +acadoWorkspace.sbar[3] = acadoWorkspace.Dx0[3]; +acadoWorkspace.sbar[4] = acadoWorkspace.Dx0[4]; +acadoWorkspace.sbar[5] = acadoWorkspace.Dx0[5]; +acadoWorkspace.sbar[6] = acadoWorkspace.Dx0[6]; +acadoWorkspace.sbar[7] = acadoWorkspace.Dx0[7]; +acadoWorkspace.sbar[8] = acadoWorkspace.Dx0[8]; +acadoWorkspace.sbar[9] = acadoWorkspace.Dx0[9]; +acadoWorkspace.sbar[10] = acadoWorkspace.Dx0[10]; +acadoWorkspace.sbar[11] = acadoWorkspace.Dx0[11]; +for (lRun1 = 0; lRun1 < 240; ++lRun1) +acadoWorkspace.sbar[lRun1 + 12] = acadoWorkspace.d[lRun1]; + +acado_expansionStep( acadoWorkspace.evGx, acadoWorkspace.evGu, acadoWorkspace.x, acadoWorkspace.sbar, &(acadoWorkspace.sbar[ 12 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 144 ]), &(acadoWorkspace.evGu[ 48 ]), &(acadoWorkspace.x[ 4 ]), &(acadoWorkspace.sbar[ 12 ]), &(acadoWorkspace.sbar[ 24 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 288 ]), &(acadoWorkspace.evGu[ 96 ]), &(acadoWorkspace.x[ 8 ]), &(acadoWorkspace.sbar[ 24 ]), &(acadoWorkspace.sbar[ 36 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 432 ]), &(acadoWorkspace.evGu[ 144 ]), &(acadoWorkspace.x[ 12 ]), &(acadoWorkspace.sbar[ 36 ]), &(acadoWorkspace.sbar[ 48 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 576 ]), &(acadoWorkspace.evGu[ 192 ]), &(acadoWorkspace.x[ 16 ]), &(acadoWorkspace.sbar[ 48 ]), &(acadoWorkspace.sbar[ 60 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 720 ]), &(acadoWorkspace.evGu[ 240 ]), &(acadoWorkspace.x[ 20 ]), &(acadoWorkspace.sbar[ 60 ]), &(acadoWorkspace.sbar[ 72 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 864 ]), &(acadoWorkspace.evGu[ 288 ]), &(acadoWorkspace.x[ 24 ]), &(acadoWorkspace.sbar[ 72 ]), &(acadoWorkspace.sbar[ 84 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1008 ]), &(acadoWorkspace.evGu[ 336 ]), &(acadoWorkspace.x[ 28 ]), &(acadoWorkspace.sbar[ 84 ]), &(acadoWorkspace.sbar[ 96 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1152 ]), &(acadoWorkspace.evGu[ 384 ]), &(acadoWorkspace.x[ 32 ]), &(acadoWorkspace.sbar[ 96 ]), &(acadoWorkspace.sbar[ 108 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1296 ]), &(acadoWorkspace.evGu[ 432 ]), &(acadoWorkspace.x[ 36 ]), &(acadoWorkspace.sbar[ 108 ]), &(acadoWorkspace.sbar[ 120 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1440 ]), &(acadoWorkspace.evGu[ 480 ]), &(acadoWorkspace.x[ 40 ]), &(acadoWorkspace.sbar[ 120 ]), &(acadoWorkspace.sbar[ 132 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1584 ]), &(acadoWorkspace.evGu[ 528 ]), &(acadoWorkspace.x[ 44 ]), &(acadoWorkspace.sbar[ 132 ]), &(acadoWorkspace.sbar[ 144 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1728 ]), &(acadoWorkspace.evGu[ 576 ]), &(acadoWorkspace.x[ 48 ]), &(acadoWorkspace.sbar[ 144 ]), &(acadoWorkspace.sbar[ 156 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1872 ]), &(acadoWorkspace.evGu[ 624 ]), &(acadoWorkspace.x[ 52 ]), &(acadoWorkspace.sbar[ 156 ]), &(acadoWorkspace.sbar[ 168 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2016 ]), &(acadoWorkspace.evGu[ 672 ]), &(acadoWorkspace.x[ 56 ]), &(acadoWorkspace.sbar[ 168 ]), &(acadoWorkspace.sbar[ 180 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2160 ]), &(acadoWorkspace.evGu[ 720 ]), &(acadoWorkspace.x[ 60 ]), &(acadoWorkspace.sbar[ 180 ]), &(acadoWorkspace.sbar[ 192 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2304 ]), &(acadoWorkspace.evGu[ 768 ]), &(acadoWorkspace.x[ 64 ]), &(acadoWorkspace.sbar[ 192 ]), &(acadoWorkspace.sbar[ 204 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2448 ]), &(acadoWorkspace.evGu[ 816 ]), &(acadoWorkspace.x[ 68 ]), &(acadoWorkspace.sbar[ 204 ]), &(acadoWorkspace.sbar[ 216 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2592 ]), &(acadoWorkspace.evGu[ 864 ]), &(acadoWorkspace.x[ 72 ]), &(acadoWorkspace.sbar[ 216 ]), &(acadoWorkspace.sbar[ 228 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2736 ]), &(acadoWorkspace.evGu[ 912 ]), &(acadoWorkspace.x[ 76 ]), &(acadoWorkspace.sbar[ 228 ]), &(acadoWorkspace.sbar[ 240 ]) ); +for (lRun1 = 0; lRun1 < 252; ++lRun1) +acadoVariables.x[lRun1] += acadoWorkspace.sbar[lRun1]; + +} + +int acado_preparationStep( ) +{ +int ret; + +ret = acado_modelSimulation(); +acado_evaluateObjective( ); +acado_condensePrep( ); +return ret; +} + +int acado_feedbackStep( ) +{ +int tmp; + +acado_condenseFdb( ); + +tmp = acado_solve( ); + +acado_expand( ); +return tmp; +} + +int acado_initializeSolver( ) +{ +int ret; + +/* This is a function which must be called once before any other function call! */ + + +ret = 0; + +memset(&acadoWorkspace, 0, sizeof( acadoWorkspace )); +acadoVariables.lbValues[0] = -6.0000000000000000e+00; +acadoVariables.lbValues[1] = -6.0000000000000000e+00; +acadoVariables.lbValues[2] = -6.0000000000000000e+00; +acadoVariables.lbValues[3] = -6.0000000000000000e+00; +acadoVariables.lbValues[4] = -6.0000000000000000e+00; +acadoVariables.lbValues[5] = -6.0000000000000000e+00; +acadoVariables.lbValues[6] = -6.0000000000000000e+00; +acadoVariables.lbValues[7] = -6.0000000000000000e+00; +acadoVariables.lbValues[8] = -6.0000000000000000e+00; +acadoVariables.lbValues[9] = -6.0000000000000000e+00; +acadoVariables.lbValues[10] = -6.0000000000000000e+00; +acadoVariables.lbValues[11] = -6.0000000000000000e+00; +acadoVariables.lbValues[12] = -6.0000000000000000e+00; +acadoVariables.lbValues[13] = -6.0000000000000000e+00; +acadoVariables.lbValues[14] = -6.0000000000000000e+00; +acadoVariables.lbValues[15] = -6.0000000000000000e+00; +acadoVariables.lbValues[16] = -6.0000000000000000e+00; +acadoVariables.lbValues[17] = -6.0000000000000000e+00; +acadoVariables.lbValues[18] = -6.0000000000000000e+00; +acadoVariables.lbValues[19] = -6.0000000000000000e+00; +acadoVariables.lbValues[20] = -6.0000000000000000e+00; +acadoVariables.lbValues[21] = -6.0000000000000000e+00; +acadoVariables.lbValues[22] = -6.0000000000000000e+00; +acadoVariables.lbValues[23] = -6.0000000000000000e+00; +acadoVariables.lbValues[24] = -6.0000000000000000e+00; +acadoVariables.lbValues[25] = -6.0000000000000000e+00; +acadoVariables.lbValues[26] = -6.0000000000000000e+00; +acadoVariables.lbValues[27] = -6.0000000000000000e+00; +acadoVariables.lbValues[28] = -6.0000000000000000e+00; +acadoVariables.lbValues[29] = -6.0000000000000000e+00; +acadoVariables.lbValues[30] = -6.0000000000000000e+00; +acadoVariables.lbValues[31] = -6.0000000000000000e+00; +acadoVariables.lbValues[32] = -6.0000000000000000e+00; +acadoVariables.lbValues[33] = -6.0000000000000000e+00; +acadoVariables.lbValues[34] = -6.0000000000000000e+00; +acadoVariables.lbValues[35] = -6.0000000000000000e+00; +acadoVariables.lbValues[36] = -6.0000000000000000e+00; +acadoVariables.lbValues[37] = -6.0000000000000000e+00; +acadoVariables.lbValues[38] = -6.0000000000000000e+00; +acadoVariables.lbValues[39] = -6.0000000000000000e+00; +acadoVariables.lbValues[40] = -6.0000000000000000e+00; +acadoVariables.lbValues[41] = -6.0000000000000000e+00; +acadoVariables.lbValues[42] = -6.0000000000000000e+00; +acadoVariables.lbValues[43] = -6.0000000000000000e+00; +acadoVariables.lbValues[44] = -6.0000000000000000e+00; +acadoVariables.lbValues[45] = -6.0000000000000000e+00; +acadoVariables.lbValues[46] = -6.0000000000000000e+00; +acadoVariables.lbValues[47] = -6.0000000000000000e+00; +acadoVariables.lbValues[48] = -6.0000000000000000e+00; +acadoVariables.lbValues[49] = -6.0000000000000000e+00; +acadoVariables.lbValues[50] = -6.0000000000000000e+00; +acadoVariables.lbValues[51] = -6.0000000000000000e+00; +acadoVariables.lbValues[52] = -6.0000000000000000e+00; +acadoVariables.lbValues[53] = -6.0000000000000000e+00; +acadoVariables.lbValues[54] = -6.0000000000000000e+00; +acadoVariables.lbValues[55] = -6.0000000000000000e+00; +acadoVariables.lbValues[56] = -6.0000000000000000e+00; +acadoVariables.lbValues[57] = -6.0000000000000000e+00; +acadoVariables.lbValues[58] = -6.0000000000000000e+00; +acadoVariables.lbValues[59] = -6.0000000000000000e+00; +acadoVariables.lbValues[60] = -6.0000000000000000e+00; +acadoVariables.lbValues[61] = -6.0000000000000000e+00; +acadoVariables.lbValues[62] = -6.0000000000000000e+00; +acadoVariables.lbValues[63] = -6.0000000000000000e+00; +acadoVariables.lbValues[64] = -6.0000000000000000e+00; +acadoVariables.lbValues[65] = -6.0000000000000000e+00; +acadoVariables.lbValues[66] = -6.0000000000000000e+00; +acadoVariables.lbValues[67] = -6.0000000000000000e+00; +acadoVariables.lbValues[68] = -6.0000000000000000e+00; +acadoVariables.lbValues[69] = -6.0000000000000000e+00; +acadoVariables.lbValues[70] = -6.0000000000000000e+00; +acadoVariables.lbValues[71] = -6.0000000000000000e+00; +acadoVariables.lbValues[72] = -6.0000000000000000e+00; +acadoVariables.lbValues[73] = -6.0000000000000000e+00; +acadoVariables.lbValues[74] = -6.0000000000000000e+00; +acadoVariables.lbValues[75] = -6.0000000000000000e+00; +acadoVariables.lbValues[76] = -6.0000000000000000e+00; +acadoVariables.lbValues[77] = -6.0000000000000000e+00; +acadoVariables.lbValues[78] = -6.0000000000000000e+00; +acadoVariables.lbValues[79] = -6.0000000000000000e+00; +acadoVariables.ubValues[0] = 6.0000000000000000e+00; +acadoVariables.ubValues[1] = 6.0000000000000000e+00; +acadoVariables.ubValues[2] = 6.0000000000000000e+00; +acadoVariables.ubValues[3] = 6.0000000000000000e+00; +acadoVariables.ubValues[4] = 6.0000000000000000e+00; +acadoVariables.ubValues[5] = 6.0000000000000000e+00; +acadoVariables.ubValues[6] = 6.0000000000000000e+00; +acadoVariables.ubValues[7] = 6.0000000000000000e+00; +acadoVariables.ubValues[8] = 6.0000000000000000e+00; +acadoVariables.ubValues[9] = 6.0000000000000000e+00; +acadoVariables.ubValues[10] = 6.0000000000000000e+00; +acadoVariables.ubValues[11] = 6.0000000000000000e+00; +acadoVariables.ubValues[12] = 6.0000000000000000e+00; +acadoVariables.ubValues[13] = 6.0000000000000000e+00; +acadoVariables.ubValues[14] = 6.0000000000000000e+00; +acadoVariables.ubValues[15] = 6.0000000000000000e+00; +acadoVariables.ubValues[16] = 6.0000000000000000e+00; +acadoVariables.ubValues[17] = 6.0000000000000000e+00; +acadoVariables.ubValues[18] = 6.0000000000000000e+00; +acadoVariables.ubValues[19] = 6.0000000000000000e+00; +acadoVariables.ubValues[20] = 6.0000000000000000e+00; +acadoVariables.ubValues[21] = 6.0000000000000000e+00; +acadoVariables.ubValues[22] = 6.0000000000000000e+00; +acadoVariables.ubValues[23] = 6.0000000000000000e+00; +acadoVariables.ubValues[24] = 6.0000000000000000e+00; +acadoVariables.ubValues[25] = 6.0000000000000000e+00; +acadoVariables.ubValues[26] = 6.0000000000000000e+00; +acadoVariables.ubValues[27] = 6.0000000000000000e+00; +acadoVariables.ubValues[28] = 6.0000000000000000e+00; +acadoVariables.ubValues[29] = 6.0000000000000000e+00; +acadoVariables.ubValues[30] = 6.0000000000000000e+00; +acadoVariables.ubValues[31] = 6.0000000000000000e+00; +acadoVariables.ubValues[32] = 6.0000000000000000e+00; +acadoVariables.ubValues[33] = 6.0000000000000000e+00; +acadoVariables.ubValues[34] = 6.0000000000000000e+00; +acadoVariables.ubValues[35] = 6.0000000000000000e+00; +acadoVariables.ubValues[36] = 6.0000000000000000e+00; +acadoVariables.ubValues[37] = 6.0000000000000000e+00; +acadoVariables.ubValues[38] = 6.0000000000000000e+00; +acadoVariables.ubValues[39] = 6.0000000000000000e+00; +acadoVariables.ubValues[40] = 6.0000000000000000e+00; +acadoVariables.ubValues[41] = 6.0000000000000000e+00; +acadoVariables.ubValues[42] = 6.0000000000000000e+00; +acadoVariables.ubValues[43] = 6.0000000000000000e+00; +acadoVariables.ubValues[44] = 6.0000000000000000e+00; +acadoVariables.ubValues[45] = 6.0000000000000000e+00; +acadoVariables.ubValues[46] = 6.0000000000000000e+00; +acadoVariables.ubValues[47] = 6.0000000000000000e+00; +acadoVariables.ubValues[48] = 6.0000000000000000e+00; +acadoVariables.ubValues[49] = 6.0000000000000000e+00; +acadoVariables.ubValues[50] = 6.0000000000000000e+00; +acadoVariables.ubValues[51] = 6.0000000000000000e+00; +acadoVariables.ubValues[52] = 6.0000000000000000e+00; +acadoVariables.ubValues[53] = 6.0000000000000000e+00; +acadoVariables.ubValues[54] = 6.0000000000000000e+00; +acadoVariables.ubValues[55] = 6.0000000000000000e+00; +acadoVariables.ubValues[56] = 6.0000000000000000e+00; +acadoVariables.ubValues[57] = 6.0000000000000000e+00; +acadoVariables.ubValues[58] = 6.0000000000000000e+00; +acadoVariables.ubValues[59] = 6.0000000000000000e+00; +acadoVariables.ubValues[60] = 6.0000000000000000e+00; +acadoVariables.ubValues[61] = 6.0000000000000000e+00; +acadoVariables.ubValues[62] = 6.0000000000000000e+00; +acadoVariables.ubValues[63] = 6.0000000000000000e+00; +acadoVariables.ubValues[64] = 6.0000000000000000e+00; +acadoVariables.ubValues[65] = 6.0000000000000000e+00; +acadoVariables.ubValues[66] = 6.0000000000000000e+00; +acadoVariables.ubValues[67] = 6.0000000000000000e+00; +acadoVariables.ubValues[68] = 6.0000000000000000e+00; +acadoVariables.ubValues[69] = 6.0000000000000000e+00; +acadoVariables.ubValues[70] = 6.0000000000000000e+00; +acadoVariables.ubValues[71] = 6.0000000000000000e+00; +acadoVariables.ubValues[72] = 6.0000000000000000e+00; +acadoVariables.ubValues[73] = 6.0000000000000000e+00; +acadoVariables.ubValues[74] = 6.0000000000000000e+00; +acadoVariables.ubValues[75] = 6.0000000000000000e+00; +acadoVariables.ubValues[76] = 6.0000000000000000e+00; +acadoVariables.ubValues[77] = 6.0000000000000000e+00; +acadoVariables.ubValues[78] = 6.0000000000000000e+00; +acadoVariables.ubValues[79] = 6.0000000000000000e+00; +return ret; +} + +void acado_initializeNodesByForwardSimulation( ) +{ +int index; +for (index = 0; index < 20; ++index) +{ +state[0] = acadoVariables.x[index * 12]; +state[1] = acadoVariables.x[index * 12 + 1]; +state[2] = acadoVariables.x[index * 12 + 2]; +state[3] = acadoVariables.x[index * 12 + 3]; +state[4] = acadoVariables.x[index * 12 + 4]; +state[5] = acadoVariables.x[index * 12 + 5]; +state[6] = acadoVariables.x[index * 12 + 6]; +state[7] = acadoVariables.x[index * 12 + 7]; +state[8] = acadoVariables.x[index * 12 + 8]; +state[9] = acadoVariables.x[index * 12 + 9]; +state[10] = acadoVariables.x[index * 12 + 10]; +state[11] = acadoVariables.x[index * 12 + 11]; +state[204] = acadoVariables.u[index * 4]; +state[205] = acadoVariables.u[index * 4 + 1]; +state[206] = acadoVariables.u[index * 4 + 2]; +state[207] = acadoVariables.u[index * 4 + 3]; +state[208] = acadoVariables.od[index * 11]; +state[209] = acadoVariables.od[index * 11 + 1]; +state[210] = acadoVariables.od[index * 11 + 2]; +state[211] = acadoVariables.od[index * 11 + 3]; +state[212] = acadoVariables.od[index * 11 + 4]; +state[213] = acadoVariables.od[index * 11 + 5]; +state[214] = acadoVariables.od[index * 11 + 6]; +state[215] = acadoVariables.od[index * 11 + 7]; +state[216] = acadoVariables.od[index * 11 + 8]; +state[217] = acadoVariables.od[index * 11 + 9]; +state[218] = acadoVariables.od[index * 11 + 10]; + +acado_integrate(state, index == 0); + +acadoVariables.x[index * 12 + 12] = state[0]; +acadoVariables.x[index * 12 + 13] = state[1]; +acadoVariables.x[index * 12 + 14] = state[2]; +acadoVariables.x[index * 12 + 15] = state[3]; +acadoVariables.x[index * 12 + 16] = state[4]; +acadoVariables.x[index * 12 + 17] = state[5]; +acadoVariables.x[index * 12 + 18] = state[6]; +acadoVariables.x[index * 12 + 19] = state[7]; +acadoVariables.x[index * 12 + 20] = state[8]; +acadoVariables.x[index * 12 + 21] = state[9]; +acadoVariables.x[index * 12 + 22] = state[10]; +acadoVariables.x[index * 12 + 23] = state[11]; +} +} + +void acado_shiftStates( int strategy, real_t* const xEnd, real_t* const uEnd ) +{ +int index; +for (index = 0; index < 20; ++index) +{ +acadoVariables.x[index * 12] = acadoVariables.x[index * 12 + 12]; +acadoVariables.x[index * 12 + 1] = acadoVariables.x[index * 12 + 13]; +acadoVariables.x[index * 12 + 2] = acadoVariables.x[index * 12 + 14]; +acadoVariables.x[index * 12 + 3] = acadoVariables.x[index * 12 + 15]; +acadoVariables.x[index * 12 + 4] = acadoVariables.x[index * 12 + 16]; +acadoVariables.x[index * 12 + 5] = acadoVariables.x[index * 12 + 17]; +acadoVariables.x[index * 12 + 6] = acadoVariables.x[index * 12 + 18]; +acadoVariables.x[index * 12 + 7] = acadoVariables.x[index * 12 + 19]; +acadoVariables.x[index * 12 + 8] = acadoVariables.x[index * 12 + 20]; +acadoVariables.x[index * 12 + 9] = acadoVariables.x[index * 12 + 21]; +acadoVariables.x[index * 12 + 10] = acadoVariables.x[index * 12 + 22]; +acadoVariables.x[index * 12 + 11] = acadoVariables.x[index * 12 + 23]; +} + +if (strategy == 1 && xEnd != 0) +{ +acadoVariables.x[240] = xEnd[0]; +acadoVariables.x[241] = xEnd[1]; +acadoVariables.x[242] = xEnd[2]; +acadoVariables.x[243] = xEnd[3]; +acadoVariables.x[244] = xEnd[4]; +acadoVariables.x[245] = xEnd[5]; +acadoVariables.x[246] = xEnd[6]; +acadoVariables.x[247] = xEnd[7]; +acadoVariables.x[248] = xEnd[8]; +acadoVariables.x[249] = xEnd[9]; +acadoVariables.x[250] = xEnd[10]; +acadoVariables.x[251] = xEnd[11]; +} +else if (strategy == 2) +{ +state[0] = acadoVariables.x[240]; +state[1] = acadoVariables.x[241]; +state[2] = acadoVariables.x[242]; +state[3] = acadoVariables.x[243]; +state[4] = acadoVariables.x[244]; +state[5] = acadoVariables.x[245]; +state[6] = acadoVariables.x[246]; +state[7] = acadoVariables.x[247]; +state[8] = acadoVariables.x[248]; +state[9] = acadoVariables.x[249]; +state[10] = acadoVariables.x[250]; +state[11] = acadoVariables.x[251]; +if (uEnd != 0) +{ +state[204] = uEnd[0]; +state[205] = uEnd[1]; +state[206] = uEnd[2]; +state[207] = uEnd[3]; +} +else +{ +state[204] = acadoVariables.u[76]; +state[205] = acadoVariables.u[77]; +state[206] = acadoVariables.u[78]; +state[207] = acadoVariables.u[79]; +} +state[208] = acadoVariables.od[220]; +state[209] = acadoVariables.od[221]; +state[210] = acadoVariables.od[222]; +state[211] = acadoVariables.od[223]; +state[212] = acadoVariables.od[224]; +state[213] = acadoVariables.od[225]; +state[214] = acadoVariables.od[226]; +state[215] = acadoVariables.od[227]; +state[216] = acadoVariables.od[228]; +state[217] = acadoVariables.od[229]; +state[218] = acadoVariables.od[230]; + +acado_integrate(state, 1); + +acadoVariables.x[240] = state[0]; +acadoVariables.x[241] = state[1]; +acadoVariables.x[242] = state[2]; +acadoVariables.x[243] = state[3]; +acadoVariables.x[244] = state[4]; +acadoVariables.x[245] = state[5]; +acadoVariables.x[246] = state[6]; +acadoVariables.x[247] = state[7]; +acadoVariables.x[248] = state[8]; +acadoVariables.x[249] = state[9]; +acadoVariables.x[250] = state[10]; +acadoVariables.x[251] = state[11]; +} +} + +void acado_shiftControls( real_t* const uEnd ) +{ +int index; +for (index = 0; index < 19; ++index) +{ +acadoVariables.u[index * 4] = acadoVariables.u[index * 4 + 4]; +acadoVariables.u[index * 4 + 1] = acadoVariables.u[index * 4 + 5]; +acadoVariables.u[index * 4 + 2] = acadoVariables.u[index * 4 + 6]; +acadoVariables.u[index * 4 + 3] = acadoVariables.u[index * 4 + 7]; +} + +if (uEnd != 0) +{ +acadoVariables.u[76] = uEnd[0]; +acadoVariables.u[77] = uEnd[1]; +acadoVariables.u[78] = uEnd[2]; +acadoVariables.u[79] = uEnd[3]; +} +} + +real_t acado_getKKT( ) +{ +real_t kkt; + +int index; +real_t prd; + +kkt = + acadoWorkspace.g[0]*acadoWorkspace.x[0] + acadoWorkspace.g[1]*acadoWorkspace.x[1] + acadoWorkspace.g[2]*acadoWorkspace.x[2] + acadoWorkspace.g[3]*acadoWorkspace.x[3] + acadoWorkspace.g[4]*acadoWorkspace.x[4] + acadoWorkspace.g[5]*acadoWorkspace.x[5] + acadoWorkspace.g[6]*acadoWorkspace.x[6] + acadoWorkspace.g[7]*acadoWorkspace.x[7] + acadoWorkspace.g[8]*acadoWorkspace.x[8] + acadoWorkspace.g[9]*acadoWorkspace.x[9] + acadoWorkspace.g[10]*acadoWorkspace.x[10] + acadoWorkspace.g[11]*acadoWorkspace.x[11] + acadoWorkspace.g[12]*acadoWorkspace.x[12] + acadoWorkspace.g[13]*acadoWorkspace.x[13] + acadoWorkspace.g[14]*acadoWorkspace.x[14] + acadoWorkspace.g[15]*acadoWorkspace.x[15] + acadoWorkspace.g[16]*acadoWorkspace.x[16] + acadoWorkspace.g[17]*acadoWorkspace.x[17] + acadoWorkspace.g[18]*acadoWorkspace.x[18] + acadoWorkspace.g[19]*acadoWorkspace.x[19] + acadoWorkspace.g[20]*acadoWorkspace.x[20] + acadoWorkspace.g[21]*acadoWorkspace.x[21] + acadoWorkspace.g[22]*acadoWorkspace.x[22] + acadoWorkspace.g[23]*acadoWorkspace.x[23] + acadoWorkspace.g[24]*acadoWorkspace.x[24] + acadoWorkspace.g[25]*acadoWorkspace.x[25] + acadoWorkspace.g[26]*acadoWorkspace.x[26] + acadoWorkspace.g[27]*acadoWorkspace.x[27] + acadoWorkspace.g[28]*acadoWorkspace.x[28] + acadoWorkspace.g[29]*acadoWorkspace.x[29] + acadoWorkspace.g[30]*acadoWorkspace.x[30] + acadoWorkspace.g[31]*acadoWorkspace.x[31] + acadoWorkspace.g[32]*acadoWorkspace.x[32] + acadoWorkspace.g[33]*acadoWorkspace.x[33] + acadoWorkspace.g[34]*acadoWorkspace.x[34] + acadoWorkspace.g[35]*acadoWorkspace.x[35] + acadoWorkspace.g[36]*acadoWorkspace.x[36] + acadoWorkspace.g[37]*acadoWorkspace.x[37] + acadoWorkspace.g[38]*acadoWorkspace.x[38] + acadoWorkspace.g[39]*acadoWorkspace.x[39] + acadoWorkspace.g[40]*acadoWorkspace.x[40] + acadoWorkspace.g[41]*acadoWorkspace.x[41] + acadoWorkspace.g[42]*acadoWorkspace.x[42] + acadoWorkspace.g[43]*acadoWorkspace.x[43] + acadoWorkspace.g[44]*acadoWorkspace.x[44] + acadoWorkspace.g[45]*acadoWorkspace.x[45] + acadoWorkspace.g[46]*acadoWorkspace.x[46] + acadoWorkspace.g[47]*acadoWorkspace.x[47] + acadoWorkspace.g[48]*acadoWorkspace.x[48] + acadoWorkspace.g[49]*acadoWorkspace.x[49] + acadoWorkspace.g[50]*acadoWorkspace.x[50] + acadoWorkspace.g[51]*acadoWorkspace.x[51] + acadoWorkspace.g[52]*acadoWorkspace.x[52] + acadoWorkspace.g[53]*acadoWorkspace.x[53] + acadoWorkspace.g[54]*acadoWorkspace.x[54] + acadoWorkspace.g[55]*acadoWorkspace.x[55] + acadoWorkspace.g[56]*acadoWorkspace.x[56] + acadoWorkspace.g[57]*acadoWorkspace.x[57] + acadoWorkspace.g[58]*acadoWorkspace.x[58] + acadoWorkspace.g[59]*acadoWorkspace.x[59] + acadoWorkspace.g[60]*acadoWorkspace.x[60] + acadoWorkspace.g[61]*acadoWorkspace.x[61] + acadoWorkspace.g[62]*acadoWorkspace.x[62] + acadoWorkspace.g[63]*acadoWorkspace.x[63] + acadoWorkspace.g[64]*acadoWorkspace.x[64] + acadoWorkspace.g[65]*acadoWorkspace.x[65] + acadoWorkspace.g[66]*acadoWorkspace.x[66] + acadoWorkspace.g[67]*acadoWorkspace.x[67] + acadoWorkspace.g[68]*acadoWorkspace.x[68] + acadoWorkspace.g[69]*acadoWorkspace.x[69] + acadoWorkspace.g[70]*acadoWorkspace.x[70] + acadoWorkspace.g[71]*acadoWorkspace.x[71] + acadoWorkspace.g[72]*acadoWorkspace.x[72] + acadoWorkspace.g[73]*acadoWorkspace.x[73] + acadoWorkspace.g[74]*acadoWorkspace.x[74] + acadoWorkspace.g[75]*acadoWorkspace.x[75] + acadoWorkspace.g[76]*acadoWorkspace.x[76] + acadoWorkspace.g[77]*acadoWorkspace.x[77] + acadoWorkspace.g[78]*acadoWorkspace.x[78] + acadoWorkspace.g[79]*acadoWorkspace.x[79]; +kkt = fabs( kkt ); +for (index = 0; index < 80; ++index) +{ +prd = acadoWorkspace.y[index]; +if (prd > 1e-12) +kkt += fabs(acadoWorkspace.lb[index] * prd); +else if (prd < -1e-12) +kkt += fabs(acadoWorkspace.ub[index] * prd); +} +return kkt; +} + +real_t acado_getObjective( ) +{ +real_t objVal; + +int lRun1; +/** Row vector of size: 16 */ +real_t tmpDy[ 16 ]; + +/** Row vector of size: 6 */ +real_t tmpDyN[ 6 ]; + +for (lRun1 = 0; lRun1 < 20; ++lRun1) +{ +acadoWorkspace.objValueIn[0] = acadoVariables.x[lRun1 * 12]; +acadoWorkspace.objValueIn[1] = acadoVariables.x[lRun1 * 12 + 1]; +acadoWorkspace.objValueIn[2] = acadoVariables.x[lRun1 * 12 + 2]; +acadoWorkspace.objValueIn[3] = acadoVariables.x[lRun1 * 12 + 3]; +acadoWorkspace.objValueIn[4] = acadoVariables.x[lRun1 * 12 + 4]; +acadoWorkspace.objValueIn[5] = acadoVariables.x[lRun1 * 12 + 5]; +acadoWorkspace.objValueIn[6] = acadoVariables.x[lRun1 * 12 + 6]; +acadoWorkspace.objValueIn[7] = acadoVariables.x[lRun1 * 12 + 7]; +acadoWorkspace.objValueIn[8] = acadoVariables.x[lRun1 * 12 + 8]; +acadoWorkspace.objValueIn[9] = acadoVariables.x[lRun1 * 12 + 9]; +acadoWorkspace.objValueIn[10] = acadoVariables.x[lRun1 * 12 + 10]; +acadoWorkspace.objValueIn[11] = acadoVariables.x[lRun1 * 12 + 11]; +acadoWorkspace.objValueIn[12] = acadoVariables.u[lRun1 * 4]; +acadoWorkspace.objValueIn[13] = acadoVariables.u[lRun1 * 4 + 1]; +acadoWorkspace.objValueIn[14] = acadoVariables.u[lRun1 * 4 + 2]; +acadoWorkspace.objValueIn[15] = acadoVariables.u[lRun1 * 4 + 3]; +acadoWorkspace.objValueIn[16] = acadoVariables.od[lRun1 * 11]; +acadoWorkspace.objValueIn[17] = acadoVariables.od[lRun1 * 11 + 1]; +acadoWorkspace.objValueIn[18] = acadoVariables.od[lRun1 * 11 + 2]; +acadoWorkspace.objValueIn[19] = acadoVariables.od[lRun1 * 11 + 3]; +acadoWorkspace.objValueIn[20] = acadoVariables.od[lRun1 * 11 + 4]; +acadoWorkspace.objValueIn[21] = acadoVariables.od[lRun1 * 11 + 5]; +acadoWorkspace.objValueIn[22] = acadoVariables.od[lRun1 * 11 + 6]; +acadoWorkspace.objValueIn[23] = acadoVariables.od[lRun1 * 11 + 7]; +acadoWorkspace.objValueIn[24] = acadoVariables.od[lRun1 * 11 + 8]; +acadoWorkspace.objValueIn[25] = acadoVariables.od[lRun1 * 11 + 9]; +acadoWorkspace.objValueIn[26] = acadoVariables.od[lRun1 * 11 + 10]; + +acado_evaluateLSQ( acadoWorkspace.objValueIn, acadoWorkspace.objValueOut ); +acadoWorkspace.Dy[lRun1 * 16] = acadoWorkspace.objValueOut[0] - acadoVariables.y[lRun1 * 16]; +acadoWorkspace.Dy[lRun1 * 16 + 1] = acadoWorkspace.objValueOut[1] - acadoVariables.y[lRun1 * 16 + 1]; +acadoWorkspace.Dy[lRun1 * 16 + 2] = acadoWorkspace.objValueOut[2] - acadoVariables.y[lRun1 * 16 + 2]; +acadoWorkspace.Dy[lRun1 * 16 + 3] = acadoWorkspace.objValueOut[3] - acadoVariables.y[lRun1 * 16 + 3]; +acadoWorkspace.Dy[lRun1 * 16 + 4] = acadoWorkspace.objValueOut[4] - acadoVariables.y[lRun1 * 16 + 4]; +acadoWorkspace.Dy[lRun1 * 16 + 5] = acadoWorkspace.objValueOut[5] - acadoVariables.y[lRun1 * 16 + 5]; +acadoWorkspace.Dy[lRun1 * 16 + 6] = acadoWorkspace.objValueOut[6] - acadoVariables.y[lRun1 * 16 + 6]; +acadoWorkspace.Dy[lRun1 * 16 + 7] = acadoWorkspace.objValueOut[7] - acadoVariables.y[lRun1 * 16 + 7]; +acadoWorkspace.Dy[lRun1 * 16 + 8] = acadoWorkspace.objValueOut[8] - acadoVariables.y[lRun1 * 16 + 8]; +acadoWorkspace.Dy[lRun1 * 16 + 9] = acadoWorkspace.objValueOut[9] - acadoVariables.y[lRun1 * 16 + 9]; +acadoWorkspace.Dy[lRun1 * 16 + 10] = acadoWorkspace.objValueOut[10] - acadoVariables.y[lRun1 * 16 + 10]; +acadoWorkspace.Dy[lRun1 * 16 + 11] = acadoWorkspace.objValueOut[11] - acadoVariables.y[lRun1 * 16 + 11]; +acadoWorkspace.Dy[lRun1 * 16 + 12] = acadoWorkspace.objValueOut[12] - acadoVariables.y[lRun1 * 16 + 12]; +acadoWorkspace.Dy[lRun1 * 16 + 13] = acadoWorkspace.objValueOut[13] - acadoVariables.y[lRun1 * 16 + 13]; +acadoWorkspace.Dy[lRun1 * 16 + 14] = acadoWorkspace.objValueOut[14] - acadoVariables.y[lRun1 * 16 + 14]; +acadoWorkspace.Dy[lRun1 * 16 + 15] = acadoWorkspace.objValueOut[15] - acadoVariables.y[lRun1 * 16 + 15]; +} +acadoWorkspace.objValueIn[0] = acadoVariables.x[240]; +acadoWorkspace.objValueIn[1] = acadoVariables.x[241]; +acadoWorkspace.objValueIn[2] = acadoVariables.x[242]; +acadoWorkspace.objValueIn[3] = acadoVariables.x[243]; +acadoWorkspace.objValueIn[4] = acadoVariables.x[244]; +acadoWorkspace.objValueIn[5] = acadoVariables.x[245]; +acadoWorkspace.objValueIn[6] = acadoVariables.x[246]; +acadoWorkspace.objValueIn[7] = acadoVariables.x[247]; +acadoWorkspace.objValueIn[8] = acadoVariables.x[248]; +acadoWorkspace.objValueIn[9] = acadoVariables.x[249]; +acadoWorkspace.objValueIn[10] = acadoVariables.x[250]; +acadoWorkspace.objValueIn[11] = acadoVariables.x[251]; +acadoWorkspace.objValueIn[12] = acadoVariables.od[220]; +acadoWorkspace.objValueIn[13] = acadoVariables.od[221]; +acadoWorkspace.objValueIn[14] = acadoVariables.od[222]; +acadoWorkspace.objValueIn[15] = acadoVariables.od[223]; +acadoWorkspace.objValueIn[16] = acadoVariables.od[224]; +acadoWorkspace.objValueIn[17] = acadoVariables.od[225]; +acadoWorkspace.objValueIn[18] = acadoVariables.od[226]; +acadoWorkspace.objValueIn[19] = acadoVariables.od[227]; +acadoWorkspace.objValueIn[20] = acadoVariables.od[228]; +acadoWorkspace.objValueIn[21] = acadoVariables.od[229]; +acadoWorkspace.objValueIn[22] = acadoVariables.od[230]; +acado_evaluateLSQEndTerm( acadoWorkspace.objValueIn, acadoWorkspace.objValueOut ); +acadoWorkspace.DyN[0] = acadoWorkspace.objValueOut[0] - acadoVariables.yN[0]; +acadoWorkspace.DyN[1] = acadoWorkspace.objValueOut[1] - acadoVariables.yN[1]; +acadoWorkspace.DyN[2] = acadoWorkspace.objValueOut[2] - acadoVariables.yN[2]; +acadoWorkspace.DyN[3] = acadoWorkspace.objValueOut[3] - acadoVariables.yN[3]; +acadoWorkspace.DyN[4] = acadoWorkspace.objValueOut[4] - acadoVariables.yN[4]; +acadoWorkspace.DyN[5] = acadoWorkspace.objValueOut[5] - acadoVariables.yN[5]; +objVal = 0.0000000000000000e+00; +for (lRun1 = 0; lRun1 < 20; ++lRun1) +{ +tmpDy[0] = + acadoWorkspace.Dy[lRun1 * 16]*acadoVariables.W[0]; +tmpDy[1] = + acadoWorkspace.Dy[lRun1 * 16 + 1]*acadoVariables.W[17]; +tmpDy[2] = + acadoWorkspace.Dy[lRun1 * 16 + 2]*acadoVariables.W[34]; +tmpDy[3] = + acadoWorkspace.Dy[lRun1 * 16 + 3]*acadoVariables.W[51]; +tmpDy[4] = + acadoWorkspace.Dy[lRun1 * 16 + 4]*acadoVariables.W[68]; +tmpDy[5] = + acadoWorkspace.Dy[lRun1 * 16 + 5]*acadoVariables.W[85]; +tmpDy[6] = + acadoWorkspace.Dy[lRun1 * 16 + 6]*acadoVariables.W[102]; +tmpDy[7] = + acadoWorkspace.Dy[lRun1 * 16 + 7]*acadoVariables.W[119]; +tmpDy[8] = + acadoWorkspace.Dy[lRun1 * 16 + 8]*acadoVariables.W[136]; +tmpDy[9] = + acadoWorkspace.Dy[lRun1 * 16 + 9]*acadoVariables.W[153]; +tmpDy[10] = + acadoWorkspace.Dy[lRun1 * 16 + 10]*acadoVariables.W[170]; +tmpDy[11] = + acadoWorkspace.Dy[lRun1 * 16 + 11]*acadoVariables.W[187]; +tmpDy[12] = + acadoWorkspace.Dy[lRun1 * 16 + 12]*acadoVariables.W[204]; +tmpDy[13] = + acadoWorkspace.Dy[lRun1 * 16 + 13]*acadoVariables.W[221]; +tmpDy[14] = + acadoWorkspace.Dy[lRun1 * 16 + 14]*acadoVariables.W[238]; +tmpDy[15] = + acadoWorkspace.Dy[lRun1 * 16 + 15]*acadoVariables.W[255]; +objVal += + acadoWorkspace.Dy[lRun1 * 16]*tmpDy[0] + acadoWorkspace.Dy[lRun1 * 16 + 1]*tmpDy[1] + acadoWorkspace.Dy[lRun1 * 16 + 2]*tmpDy[2] + acadoWorkspace.Dy[lRun1 * 16 + 3]*tmpDy[3] + acadoWorkspace.Dy[lRun1 * 16 + 4]*tmpDy[4] + acadoWorkspace.Dy[lRun1 * 16 + 5]*tmpDy[5] + acadoWorkspace.Dy[lRun1 * 16 + 6]*tmpDy[6] + acadoWorkspace.Dy[lRun1 * 16 + 7]*tmpDy[7] + acadoWorkspace.Dy[lRun1 * 16 + 8]*tmpDy[8] + acadoWorkspace.Dy[lRun1 * 16 + 9]*tmpDy[9] + acadoWorkspace.Dy[lRun1 * 16 + 10]*tmpDy[10] + acadoWorkspace.Dy[lRun1 * 16 + 11]*tmpDy[11] + acadoWorkspace.Dy[lRun1 * 16 + 12]*tmpDy[12] + acadoWorkspace.Dy[lRun1 * 16 + 13]*tmpDy[13] + acadoWorkspace.Dy[lRun1 * 16 + 14]*tmpDy[14] + acadoWorkspace.Dy[lRun1 * 16 + 15]*tmpDy[15]; +} + +tmpDyN[0] = + acadoWorkspace.DyN[0]*acadoVariables.WN[0]; +tmpDyN[1] = + acadoWorkspace.DyN[1]*acadoVariables.WN[7]; +tmpDyN[2] = + acadoWorkspace.DyN[2]*acadoVariables.WN[14]; +tmpDyN[3] = + acadoWorkspace.DyN[3]*acadoVariables.WN[21]; +tmpDyN[4] = + acadoWorkspace.DyN[4]*acadoVariables.WN[28]; +tmpDyN[5] = + acadoWorkspace.DyN[5]*acadoVariables.WN[35]; +objVal += + acadoWorkspace.DyN[0]*tmpDyN[0] + acadoWorkspace.DyN[1]*tmpDyN[1] + acadoWorkspace.DyN[2]*tmpDyN[2] + acadoWorkspace.DyN[3]*tmpDyN[3] + acadoWorkspace.DyN[4]*tmpDyN[4] + acadoWorkspace.DyN[5]*tmpDyN[5]; + +objVal *= 0.5; +return objVal; +} + diff --git a/mav_modified_rodrigues_nmpc/solver/acado_solver_mex.c b/mav_modified_rodrigues_nmpc/solver/acado_solver_mex.c new file mode 100644 index 0000000..ed7103f --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/acado_solver_mex.c @@ -0,0 +1,554 @@ +/* + * This file was auto-generated using the ACADO Toolkit. + * + * While ACADO Toolkit is free software released under the terms of + * the GNU Lesser General Public License (LGPL), the generated code + * as such remains the property of the user who used ACADO Toolkit + * to generate this code. In particular, user dependent data of the code + * do not inherit the GNU LGPL license. On the other hand, parts of the + * generated code that are a direct copy of source code from the + * ACADO Toolkit or the software tools it is based on, remain, as derived + * work, automatically covered by the LGPL license. + * + * ACADO Toolkit is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. + * + */ + + +/* +input +{ + control: optional + 0: init once, and run preparation and feedback; default behaviour + 1: initialize + 2: preparation + 3: feedback + 4: shift + x + u + od + y + yN + W + WN + x0: depends on the type of an OCP + xAC: optional + SAC: optional + shifting: optional + { + strategy: + 1: use xEnd + 2: integrate + xEnd + uEnd + } + initialization: optional + 1: initialize by a forward simulation + else: do nothing +} + +output +{ + x + u + xAC: optional + SAC: optional + info + { + status + cpuTime + kktValue + objValue + nIterations: works only for qpOASES + } +} +*/ + +/** MEX interface for the ACADO OCP solver + * + * \author Milan Vukov, milan.vukov@esat.kuleuven.be + * + * Credits: Alexander Domahidi (ETHZ), Janick Frasch (KUL, OVGU) + * + */ + +#include +#include +#include +#include + +#include "mex.h" +#include "acado_common.h" +#include "acado_auxiliary_functions.h" + +#define FREE( mem ) { if( mem ) { mxFree( mem ); mem = NULL; } } + +/* Define number of outputs */ +#define NOO 3 + +#if ACADO_NXA > 0 +#define NOO_2 NOO + 1 +#else +#define NOO_2 NOO +#endif + +#if ACADO_USE_ARRIVAL_COST == 1 +#define NOO_3 NOO_2 + 2 +#else +#define NOO_3 NOO_2 +#endif + +#if ACADO_COMPUTE_COVARIANCE_MATRIX == 1 +#define NOO_4 NOO_3 + 1 +#else +#define NOO_4 NOO_3 +#endif + +/** Instance of the user data structure. */ +ACADOvariables acadoVariables; +/** Instance of the private workspace structure. */ +ACADOworkspace acadoWorkspace; + +#if ACADO_QP_SOLVER == ACADO_FORCES +#include "forces.h" +extern forces_info acadoForces_info; +#elif ACADO_QP_SOLVER == ACADO_QPDUNES +#include +extern qpData_t qpData; +#endif + +/** A bit more advanced printing function. */ +void mexErrMsgTxtAdv( char* string, + ... + ) +{ + static char buffer[ 128 ]; + + va_list printArgs; + va_start(printArgs, string); + + vsprintf(buffer, string, printArgs); + va_end( printArgs ); + + mexErrMsgTxt( buffer ); +} + +/** A simple helper function. */ +void printMatrix( const char* name, + real_t* mat, + unsigned nRows, + unsigned nCols + ) +{ + unsigned r, c; + mexPrintf("%s: \n", name); + for (r = 0; r < nRows; ++r) + { + for(c = 0; c < nCols; ++c) + mexPrintf("\t%f", mat[r * nCols + c]); + mexPrintf("\n"); + } +} + +/** A function for copying data from MATLAB to C array. */ +int getArray( const unsigned mandatory, + const mxArray* source, + const int index, + const char* name, + real_t* destination, + const unsigned nRows, + const unsigned nCols + ) +{ + mxArray* mxPtr = mxGetField(source, index, name); + unsigned i, j; + double* dPtr; + + if (mxPtr == NULL) + { + if ( !mandatory ) + return -1; + else + mexErrMsgTxtAdv("Field %s not found.", name); + } + + if ( !mxIsDouble( mxPtr ) ) + mexErrMsgTxtAdv("Field %s must be an array of doubles.", name); + + if (mxGetM( mxPtr ) != nRows || mxGetN( mxPtr ) != nCols ) + mexErrMsgTxtAdv("Field %s must be of size: %d x %d.", name, nRows, nCols); + + dPtr = mxGetPr( mxPtr ); + + if (destination == NULL) + destination = (real_t*)mxCalloc(nRows * nCols, sizeof( real_t )); + + if (nRows == 1 && nCols == 1) + *destination = *dPtr; + else + for (i = 0; i < nRows; ++i) + for (j = 0; j < nCols; ++j) + destination[i * nCols + j] = (real_t)dPtr[j * nRows + i]; + + return 0; +} + +void setArray( mxArray* destination, + const int index, + const char* name, + real_t* source, + const unsigned nRows, + const unsigned nCols + ) +{ + mxArray* mxPtr = mxCreateDoubleMatrix(nRows, nCols, mxREAL); + double* dPtr = mxGetPr( mxPtr ); + unsigned i, j; + + if (nRows == 1 && nCols == 1) + *dPtr = *source; + else + for (i = 0; i < nRows; ++i) + for(j = 0; j < nCols; ++j) + dPtr[j * nRows + i] = (double)source[i * nCols + j]; + + mxSetField(destination, index, name, mxPtr); +} + +/** The MEX interface function. */ +void mexFunction( int nlhs, + mxArray *plhs[], + int nrhs, + const mxArray *prhs[] + ) +{ + static unsigned initialized = 0; + unsigned ctrl; + int ctrlIndex; + unsigned strategy; + unsigned initType; + real_t* xEnd = NULL; + real_t* uEnd = NULL; + const mxArray* src = prhs[ 0 ]; + + const char *infoNames[ 5 ] = {"status", "cpuTime", "kktValue", "objValue", "nIterations"}; + mxArray* info; + real_t status, cpuTime, kktValue, objValue; + double tmp[ 1 ]; + mxArray* shPtr; +#ifndef _DSPACE + acado_timer tmr; +#endif + double nIterations = 0; + + const char *outNames[ NOO_4 ]; + outNames[ 0 ] = "info"; + outNames[ 1 ] = "x"; + outNames[ 2 ] = "u"; +#if ACADO_NXA + outNames[ NOO ] = "z"; +#endif + +#if ACADO_USE_ARRIVAL_COST == 1 + outNames[ NOO_2 ] = "xAC"; + outNames[NOO_2 + 1] = "SAC"; +#endif +#if ACADO_COMPUTE_COVARIANCE_MATRIX == 1 + outNames[ NOO_3 ] = "sigmaN"; +#endif + + if (nrhs != 1) + mexErrMsgTxt( + "This function requires exactly one input: a structure with parameters."); + + if (nlhs != 1) + mexErrMsgTxt( + "This function returns one output."); + + if( !mxIsStruct( src ) ) + mexErrMsgTxt("The function argument must be a structure."); + + /* Get the control flag. */ + if (getArray(0, src, 0, "control", tmp, 1, 1) == 0) + ctrl = (unsigned)tmp[ 0 ]; + else + ctrl = 0; + + /* Get the initialization flag. */ + if (getArray(0, src, 0, "initialization", tmp, 1, 1) == 0) + initType = (unsigned)tmp[ 0 ]; + else + initType = 0; + + /* Copy MATLAB arrays to C arrays. */ + getArray(1, src, 0, "x", acadoVariables.x, ACADO_N + 1, ACADO_NX); + getArray(1, src, 0, "u", acadoVariables.u, ACADO_N, ACADO_NU); + +#if ACADO_NXA + getArray(1, src, 0, "z", acadoVariables.z, ACADO_N, ACADO_NXA); +#endif + +#if ACADO_NOD + getArray(1, src, 0, "od", acadoVariables.od, ACADO_N + 1, ACADO_NOD); +#endif + + getArray(1, src, 0, "y", acadoVariables.y, ACADO_N, ACADO_NY); + +#if ACADO_NYN + getArray(1, src, 0, "yN", acadoVariables.yN, 1, ACADO_NYN); +#endif /* ACADO_NYN */ + +#if ACADO_INITIAL_STATE_FIXED + getArray(1, src, 0, "x0", acadoVariables.x0, 1, ACADO_NX); +#endif /* ACADO_INITIAL_STATE_FIXED */ + +#if ACADO_WEIGHTING_MATRICES_TYPE == 1 + getArray(1, src, 0, "W", acadoVariables.W, ACADO_NY, ACADO_NY); + getArray(1, src, 0, "WN", acadoVariables.WN, ACADO_NYN, ACADO_NYN); +#elif ACADO_WEIGHTING_MATRICES_TYPE == 2 + getArray(1, src, 0, "W", acadoVariables.W, ACADO_N * ACADO_NY, ACADO_NY); + getArray(1, src, 0, "WN", acadoVariables.WN, ACADO_NYN, ACADO_NYN); +#endif /* ACADO_WEIGHTING_MATRICES_TYPE */ + + +#if (ACADO_HARDCODED_CONSTRAINT_VALUES == 0) + if (!initialized) + { + acado_initializeSolver(); + } +#endif + +#if (ACADO_HARDCODED_CONSTRAINT_VALUES == 0) && ( (ACADO_QP_SOLVER == ACADO_QPOASES) || (ACADO_QP_SOLVER == ACADO_QPOASES3) ) + /* Bounds */ +#if ACADO_INITIAL_STATE_FIXED == 1 + getArray(1, src, 0, "lbValues", acadoVariables.lbValues, ACADO_N * ACADO_NU, 1); + getArray(1, src, 0, "ubValues", acadoVariables.ubValues, ACADO_N * ACADO_NU, 1); +#else + getArray(1, src, 0, "lbValues", acadoVariables.lbValues, ACADO_NX + ACADO_N * ACADO_NU, 1); + getArray(1, src, 0, "ubValues", acadoVariables.ubValues, ACADO_NX + ACADO_N * ACADO_NU, 1); +#endif /* ACADO_INITIAL_STATE_FIXED == 0 */ + +#if QPOASES_NCMAX > 0 + /* Affine constraints */ + getArray(1, src, 0, "lbAValues", acadoVariables.lbAValues, QPOASES_NCMAX, 1); + getArray(1, src, 0, "ubAValues", acadoVariables.ubAValues, QPOASES_NCMAX, 1); +#endif /* QPOASES_NCMAX > 0 */ + +#elif (ACADO_HARDCODED_CONSTRAINT_VALUES == 0) && (ACADO_QP_SOLVER == ACADO_FORCES) && !ACADO_BLOCK_CONDENSING + /* Bounds */ + #if (ACADO_QP_NLB > 0) + getArray(1, src, 0, "lbValues", acadoVariables.lbValues, ACADO_QP_NLB, 1); + #endif + #if (ACADO_QP_NUB > 0) + getArray(1, src, 0, "ubValues", acadoVariables.ubValues, ACADO_QP_NUB, 1); + #endif + +#elif (ACADO_HARDCODED_CONSTRAINT_VALUES == 0) && (ACADO_QP_SOLVER == ACADO_QPDUNES) && !ACADO_BLOCK_CONDENSING + /* Bounds */ + getArray(1, src, 0, "lbValues", acadoVariables.lbValues, ACADO_QP_NV, 1); + getArray(1, src, 0, "ubValues", acadoVariables.ubValues, ACADO_QP_NV, 1); + +#elif (ACADO_HARDCODED_CONSTRAINT_VALUES == 0) && ACADO_BLOCK_CONDENSING + /* Bounds */ + getArray(1, src, 0, "lbValues", acadoVariables.lbValues, ACADO_QP_NV, 1); + getArray(1, src, 0, "ubValues", acadoVariables.ubValues, ACADO_QP_NV, 1); + #if (ACADO_QP_NCA > 0) + /* Affine bounds */ + getArray(1, src, 0, "lbAValues", acadoVariables.lbAValues, ACADO_QP_NCA, 1); + getArray(1, src, 0, "ubAValues", acadoVariables.ubAValues, ACADO_QP_NCA, 1); + #endif +#elif (ACADO_HARDCODED_CONSTRAINT_VALUES == 0) && (ACADO_QP_SOLVER == ACADO_GENERIC) + /* Bounds */ + getArray(1, src, 0, "lbValues", acadoVariables.lbValues, ACADO_N*(ACADO_NX+ACADO_NU), 1); + getArray(1, src, 0, "ubValues", acadoVariables.ubValues, ACADO_N*(ACADO_NX+ACADO_NU), 1); + #if (ACADO_NPAC > 0) + /* Affine bounds */ + getArray(1, src, 0, "lbAValues", acadoVariables.lbAValues, ACADO_N*ACADO_NPAC, 1); + getArray(1, src, 0, "ubAValues", acadoVariables.ubAValues, ACADO_N*ACADO_NPAC, 1); + #endif +#endif + +#if ACADO_USE_ARRIVAL_COST == 1 + getArray(1, src, 0, "xAC", acadoVariables.xAC, ACADO_NX, 1); + getArray(1, src, 0, "SAC", acadoVariables.SAC, ACADO_NX, ACADO_NX); + getArray(1, src, 0, "WL", acadoVariables.WL, ACADO_NX, ACADO_NX); +#endif + + /* Shifting strategy */ + shPtr = mxGetField(src, 0, "shifting"); + if (shPtr != NULL) + { + if( !mxIsStruct( shPtr ) ) + mexErrMsgTxt("Field \"shifting\" must be defined with a structure."); + + /* Get the shifting strategy flag */ + getArray(1, shPtr, 0, "strategy", tmp, 1, 1); + strategy = (unsigned)tmp[ 0 ]; + + if (strategy > 2) + mexErrMsgTxt("Valid options for the shifting strategy are 1 or 2."); + + getArray(0, shPtr, 0, "xEnd", xEnd, ACADO_NX, 1); + getArray(0, shPtr, 0, "uEnd", uEnd, ACADO_NU, 1); + } + else + strategy = 0; + +#ifndef _DSPACE + acado_tic( &tmr ); +#endif + + /* Call solver */ + switch ( ctrl ) + { + case 0: + /* Simple operational mode. Run one RTI with optional shifting. */ + + if ( !initialized ) + { + memset(&acadoWorkspace, 0, sizeof( acadoWorkspace )); + +#if ACADO_HARDCODED_CONSTRAINT_VALUES == 1 + acado_initializeSolver(); +#endif /* ACADO_HARDCODED_CONSTRAINT_VALUES == 1 */ + + if (initType == 1) + { + acado_initializeNodesByForwardSimulation(); + } + +#if ACADO_USE_ARRIVAL_COST == 1 + acado_updateArrivalCost( 1 ); +#endif /* ACADO_USE_ARRIVAL_COST == 1 */ + + initialized = 1; + } + else if (strategy == 1 || strategy == 2) + { +#if ACADO_USE_ARRIVAL_COST == 1 + acado_updateArrivalCost( 0 ); +#endif /* ACADO_USE_ARRIVAL_COST == 1 */ + + acado_shiftStates(strategy, xEnd, uEnd); + acado_shiftControls(uEnd); + } + + acado_preparationStep(); + + status = (real_t)acado_feedbackStep(); + + kktValue = acado_getKKT(); + objValue = acado_getObjective(); + +#if ( (ACADO_QP_SOLVER == ACADO_QPOASES) || (ACADO_QP_SOLVER == ACADO_QPOASES3) ) + nIterations = (double)acado_getNWSR(); +#elif ACADO_QP_SOLVER == ACADO_FORCES + nIterations = acadoForces_info.it; +#elif ACADO_QP_SOLVER == ACADO_QPDUNES + nIterations = qpData.log.numIter; +#endif /* ACADO_QP_SOLVER */ + + break; + + case 1: + /* Initialize */ + + memset(&acadoWorkspace, 0, sizeof( acadoWorkspace )); + + acado_initializeSolver(); + + if (initType == 1) + { + acado_initializeNodesByForwardSimulation(); + } + +#if ACADO_USE_ARRIVAL_COST == 1 + acado_updateArrivalCost( 1 ); +#endif /* ACADO_USE_ARRIVAL_COST == 1 */ + + initialized = 1; + + break; + + case 2: + /* Preparation step */ + + acado_preparationStep(); + + break; + + case 3: + /* Feedback step */ + + status = (real_t)acado_feedbackStep(); + + kktValue = acado_getKKT(); + objValue = acado_getObjective(); + +#if ( (ACADO_QP_SOLVER == ACADO_QPOASES) || (ACADO_QP_SOLVER == ACADO_QPOASES3) ) + nIterations = (double)acado_getNWSR(); +#elif ACADO_QP_SOLVER == ACADO_FORCES + nIterations = acadoForces_info.it; +#endif /* ACADO_QP_SOLVER */ + + break; + + case 4: + /* Shifting */ + +#if ACADO_USE_ARRIVAL_COST == 1 + acado_updateArrivalCost( 0 ); +#endif /* ACADO_USE_ARRIVAL_COST == 1 */ + + acado_shiftStates(strategy, xEnd, uEnd); + acado_shiftControls( uEnd ); + + break; + + default: + /* Return an error */ + mexErrMsgTxt("Unknown control code."); + } + +#ifndef _DSPACE + cpuTime = (real_t)acado_toc( &tmr ); +#endif + + /* Prepare return argument */ + + plhs[ 0 ] = mxCreateStructMatrix(1, 1, NOO_4, outNames); + + setArray(plhs[ 0 ], 0, "x", acadoVariables.x, ACADO_N + 1, ACADO_NX); + setArray(plhs[ 0 ], 0, "u", acadoVariables.u, ACADO_N, ACADO_NU); +#if ACADO_NXA > 0 + setArray(plhs[ 0 ], 0, "z", acadoVariables.z, ACADO_N, ACADO_NXA); +#endif + +#if ACADO_USE_ARRIVAL_COST == 1 + setArray(plhs[ 0 ], 0, "xAC", acadoVariables.xAC, ACADO_NX, 1); + setArray(plhs[ 0 ], 0, "SAC", acadoVariables.SAC, ACADO_NX, ACADO_NX); +#endif /* ACADO_USE_ARRIVAL_COST */ + +#if ACADO_COMPUTE_COVARIANCE_MATRIX == 1 + setArray(plhs[ 0 ], 0, "sigmaN", acadoVariables.sigmaN, ACADO_NX, ACADO_NX); +#endif /* ACADO_COMPUTE_COVARIANCE_MATRIX */ + + /* Create the info structure. */ + info = mxCreateStructMatrix(1, 1, 5, infoNames); + + setArray(info, 0, "status", &status, 1, 1); + setArray(info, 0, "cpuTime", &cpuTime, 1, 1); + setArray(info, 0, "kktValue", &kktValue, 1, 1); + setArray(info, 0, "objValue", &objValue, 1, 1); +#if ( (ACADO_QP_SOLVER == ACADO_QPOASES) || (ACADO_QP_SOLVER == ACADO_QPOASES3) ) + setArray(info, 0, "nIterations", &nIterations, 1, 1); +#endif /* ( (ACADO_QP_SOLVER == ACADO_QPOASES) || (ACADO_QP_SOLVER == ACADO_QPOASES3) ) */ + + mxSetField(plhs[ 0 ], 0, "info", info); + + /* Cleanup of the allocated memory */ + FREE( xEnd ); + FREE( uEnd ); +} diff --git a/mav_modified_rodrigues_nmpc/solver/make_acado_solver.m b/mav_modified_rodrigues_nmpc/solver/make_acado_solver.m new file mode 100644 index 0000000..668fd11 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/make_acado_solver.m @@ -0,0 +1,85 @@ +% +% This file was auto-generated using the ACADO Toolkit. +% +% While ACADO Toolkit is free software released under the terms of +% the GNU Lesser General Public License (LGPL), the generated code +% as such remains the property of the user who used ACADO Toolkit +% to generate this code. In particular, user dependent data of the code +% do not inherit the GNU LGPL license. On the other hand, parts of the +% generated code that are a direct copy of source code from the +% ACADO Toolkit or the software tools it is based on, remain, as derived +% work, automatically covered by the LGPL license. +% +% ACADO Toolkit is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. +% + + +function make_acado_solver( name ) + + % Output file name, and also function name + if (nargin > 0) + fileOut = name; + else + fileOut = 'acado_solver'; + end; + + % Root folder of code generation + CGRoot = '.'; + + % qpOASES embedded source files + qpOASESSources = [ ... + 'CGRoot/qpoases/SRC/Bounds.cpp ' ... + 'CGRoot/qpoases/SRC/Constraints.cpp ' ... + 'CGRoot/qpoases/SRC/CyclingManager.cpp ' ... + 'CGRoot/qpoases/SRC/Indexlist.cpp ' ... + 'CGRoot/qpoases/SRC/MessageHandling.cpp ' ... + 'CGRoot/qpoases/SRC/QProblem.cpp ' ... + 'CGRoot/qpoases/SRC/QProblemB.cpp ' ... + 'CGRoot/qpoases/SRC/SubjectTo.cpp ' ... + 'CGRoot/qpoases/SRC/Utils.cpp ' ... + 'CGRoot/qpoases/SRC/EXTRAS/SolutionAnalysis.cpp ' ... + ]; + + % Auto-generated files + CGSources = [ ... + 'CGRoot/acado_solver_mex.c ' ... + 'CGRoot/acado_solver.c ' ... + 'CGRoot/acado_integrator.c ' ... + 'CGRoot/acado_auxiliary_functions.c ' ... + 'CGRoot/acado_qpoases_interface.cpp ' ... + ]; + if (nargin > 1) + CGSources = [CGSources extern]; + end + + % Adding additional linker flags for Linux + ldFlags = ''; + if (isunix() && ~ismac()) + ldFlags = '-lrt'; + elseif (ispc) + ldFlags = '-DWIN32'; + end; + + % Recipe for compilation + CGRecipe = [ ... + 'mex -O' ... + ' -I. -I''CGRoot'' -I''CGRoot/qpoases'' -I''CGRoot/qpoases/INCLUDE'' -I''CGRoot/qpoases/SRC''' ... + ' ldFlags' ... + ' -D__MATLAB__ -DQPOASES_CUSTOM_INTERFACE="acado_qpoases_interface.hpp" -O CGSources qpOASESSources -output %s.%s' ... + ]; + +% Compilation +qpOASESSources = regexprep(qpOASESSources, 'CGRoot', CGRoot); +CGSources = regexprep(CGSources, 'CGRoot', CGRoot); + +CGRecipe = regexprep(CGRecipe, 'CGRoot', CGRoot); +CGRecipe = regexprep(CGRecipe, 'CGSources', CGSources); +CGRecipe = regexprep(CGRecipe, 'qpOASESSources', qpOASESSources); +CGRecipe = regexprep(CGRecipe, 'ldFlags', ldFlags); + +% disp( sprintf( CGRecipe, fileOut, mexext ) ); +fprintf( 'compiling... ' ); +eval( sprintf(CGRecipe, fileOut, mexext) ); +fprintf( ['done! --> ' fileOut '.' mexext '\n'] ); diff --git a/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc.cpp b/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc.cpp new file mode 100644 index 0000000..2416cf5 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc.cpp @@ -0,0 +1,175 @@ +/* +* This file is part of ACADO Toolkit. +* +* ACADO Toolkit -- A Toolkit for Automatic Control and Dynamic Optimization. +* Copyright (C) 2008-2009 by Boris Houska and Hans Joachim Ferreau, K.U.Leuven. +* Developed within the Optimization in Engineering Center (OPTEC) under +* supervision of Moritz Diehl. All rights reserved. +* +* ACADO Toolkit is free software; you can redistribute it and/or +* modify it under the terms of the GNU Lesser General Public +* License as published by the Free Software Foundation; either +* version 3 of the License, or (at your option) any later version. +* +* ACADO Toolkit is distributed in the hope that it will be useful, +* but WITHOUT ANY WARRANTY; without even the implied warranty of +* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +* Lesser General Public License for more details. +* +* You should have received a copy of the GNU Lesser General Public +* License along with ACADO Toolkit; if not, write to the Free Software +* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA +* +*/ + + +/** +* Author David Ariens, Rien Quirynen +* Date 2009-2013 +* http://www.acadotoolkit.org/matlab +*/ + +#include +#include +#include + +USING_NAMESPACE_ACADO + +#include + + +void mexFunction( int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[] ) + { + + MatlabConsoleStreamBuf mybuf; + RedirectStream redirect(std::cout, mybuf); + clearAllStaticCounters( ); + + mexPrintf("\nACADO Toolkit for Matlab - Developed by David Ariens and Rien Quirynen, 2009-2013 \n"); + mexPrintf("Support available at http://www.acadotoolkit.org/matlab \n \n"); + + if (nrhs != 0){ + mexErrMsgTxt("This problem expects 0 right hand side argument(s) since you have defined 0 MexInput(s)"); + } + + TIME autotime; + DifferentialState e_p1; + DifferentialState e_p2; + DifferentialState e_p3; + DifferentialState e_v1; + DifferentialState e_v2; + DifferentialState e_v3; + DifferentialState e_mrp1; + DifferentialState e_mrp2; + DifferentialState e_mrp3; + DifferentialState e_w1; + DifferentialState e_w2; + DifferentialState e_w3; + Control f1; + Control f2; + Control f3; + Control f4; + OnlineData mass; + OnlineData inertia1; + OnlineData inertia2; + OnlineData inertia3; + OnlineData drag_coefficient; + OnlineData armlength; + OnlineData angVel_ref; + OnlineData yaw_ref; + OnlineData external_forces1; + OnlineData external_forces2; + OnlineData external_forces3; + BMatrix acadodata_M1; + acadodata_M1.read( "mav_modified_rodrigues_nmpc_data_acadodata_M1.txt" ); + BMatrix acadodata_M2; + acadodata_M2.read( "mav_modified_rodrigues_nmpc_data_acadodata_M2.txt" ); + Function acadodata_f1; + acadodata_f1 << e_p1; + acadodata_f1 << e_p2; + acadodata_f1 << e_p3; + acadodata_f1 << e_v1; + acadodata_f1 << e_v2; + acadodata_f1 << e_v3; + acadodata_f1 << e_mrp1; + acadodata_f1 << e_mrp2; + acadodata_f1 << e_mrp3; + acadodata_f1 << e_w1; + acadodata_f1 << e_w2; + acadodata_f1 << e_w3; + acadodata_f1 << (-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass+f1); + acadodata_f1 << (-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass+f2); + acadodata_f1 << (-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass+f3); + acadodata_f1 << (-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass+f4); + Function acadodata_f2; + acadodata_f2 << e_p1; + acadodata_f2 << e_p2; + acadodata_f2 << e_p3; + acadodata_f2 << e_v1; + acadodata_f2 << e_v2; + acadodata_f2 << e_v3; + OCP ocp1(0, 2, 20); + ocp1.minimizeLSQ(acadodata_M1, acadodata_f1); + ocp1.minimizeLSQEndTerm(acadodata_M2, acadodata_f2); + ocp1.subjectTo((-6.00000000000000000000e+00) <= f1 <= 6.00000000000000000000e+00); + ocp1.subjectTo((-6.00000000000000000000e+00) <= f2 <= 6.00000000000000000000e+00); + ocp1.subjectTo((-6.00000000000000000000e+00) <= f3 <= 6.00000000000000000000e+00); + ocp1.subjectTo((-6.00000000000000000000e+00) <= f4 <= 6.00000000000000000000e+00); + DifferentialEquation acadodata_f3; + acadodata_f3 << dot(e_p1) == e_v1; + acadodata_f3 << dot(e_p2) == e_v2; + acadodata_f3 << dot(e_p3) == e_v3; + acadodata_f3 << dot(e_v1) == (((((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref)-((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref))*cos(1/2.00000000000000000000e+00*yaw_ref)+(((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref)+((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref))*(-sin(1/2.00000000000000000000e+00*yaw_ref)))/mass+external_forces1); + acadodata_f3 << dot(e_v2) == ((-(((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref)-((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref))*(-sin(1/2.00000000000000000000e+00*yaw_ref))+(((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref)+((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref))*cos(1/2.00000000000000000000e+00*yaw_ref))/mass+external_forces2); + acadodata_f3 << dot(e_v3) == (((-(-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass)*sin(1/2.00000000000000000000e+00*yaw_ref))*(-sin(1/2.00000000000000000000e+00*yaw_ref))+(-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass)*cos(1/2.00000000000000000000e+00*yaw_ref)*cos(1/2.00000000000000000000e+00*yaw_ref))/mass+external_forces3); + acadodata_f3 << dot(e_mrp1) == (((-e_mrp3)*2.00000000000000000000e+00+2.00000000000000000000e+00*e_mrp1*e_mrp2)*2.50000000000000000000e-01*e_w2+((1.00000000000000000000e+00-e_mrp1*e_mrp1-e_mrp2*e_mrp2-e_mrp3*e_mrp3)+2.00000000000000000000e+00*e_mrp1*e_mrp1)*2.50000000000000000000e-01*e_w1+(2.00000000000000000000e+00*e_mrp1*e_mrp3+2.00000000000000000000e+00*e_mrp2)*2.50000000000000000000e-01*e_w3); + acadodata_f3 << dot(e_mrp2) == (((-e_mrp1)*2.00000000000000000000e+00+2.00000000000000000000e+00*e_mrp2*e_mrp3)*2.50000000000000000000e-01*e_w3+((1.00000000000000000000e+00-e_mrp1*e_mrp1-e_mrp2*e_mrp2-e_mrp3*e_mrp3)+2.00000000000000000000e+00*e_mrp2*e_mrp2)*2.50000000000000000000e-01*e_w2+(2.00000000000000000000e+00*e_mrp1*e_mrp2+2.00000000000000000000e+00*e_mrp3)*2.50000000000000000000e-01*e_w1); + acadodata_f3 << dot(e_mrp3) == (((-e_mrp2)*2.00000000000000000000e+00+2.00000000000000000000e+00*e_mrp1*e_mrp3)*2.50000000000000000000e-01*e_w1+((1.00000000000000000000e+00-e_mrp1*e_mrp1-e_mrp2*e_mrp2-e_mrp3*e_mrp3)+2.00000000000000000000e+00*e_mrp3*e_mrp3)*2.50000000000000000000e-01*e_w3+(2.00000000000000000000e+00*e_mrp1+2.00000000000000000000e+00*e_mrp2*e_mrp3)*2.50000000000000000000e-01*e_w2); + acadodata_f3 << dot(e_w1) == ((f2-f4)*armlength-e_w2*e_w3*inertia3+e_w2*inertia2*e_w3)/inertia1; + acadodata_f3 << dot(e_w2) == (((-f1+f3)*armlength+(angVel_ref+e_w1)*e_w3*inertia3-(angVel_ref+e_w1)*inertia1*e_w3)/inertia2+angVel_ref*e_w3); + acadodata_f3 << dot(e_w3) == ((-(angVel_ref+e_w1)*e_w2*inertia2+(angVel_ref+e_w1)*inertia1*e_w2+(f1-f2+f3-f4)*drag_coefficient)/inertia3-angVel_ref*e_w2); + + ocp1.setModel( acadodata_f3 ); + + + ocp1.setNU( 4 ); + ocp1.setNP( 0 ); + ocp1.setNOD( 11 ); + OCPexport ExportModule1( ocp1 ); + ExportModule1.set( GENERATE_MATLAB_INTERFACE, 1 ); + uint options_flag; + options_flag = ExportModule1.set( HESSIAN_APPROXIMATION, GAUSS_NEWTON ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: HESSIAN_APPROXIMATION"); + options_flag = ExportModule1.set( DISCRETIZATION_TYPE, MULTIPLE_SHOOTING ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: DISCRETIZATION_TYPE"); + options_flag = ExportModule1.set( SPARSE_QP_SOLUTION, FULL_CONDENSING_N2 ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: SPARSE_QP_SOLUTION"); + options_flag = ExportModule1.set( INTEGRATOR_TYPE, INT_IRK_GL4 ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: INTEGRATOR_TYPE"); + options_flag = ExportModule1.set( NUM_INTEGRATOR_STEPS, 20 ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: NUM_INTEGRATOR_STEPS"); + options_flag = ExportModule1.set( QP_SOLVER, QP_QPOASES ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: QP_SOLVER"); + options_flag = ExportModule1.set( HOTSTART_QP, NO ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: HOTSTART_QP"); + options_flag = ExportModule1.set( LEVENBERG_MARQUARDT, 1.000000E-10 ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: LEVENBERG_MARQUARDT"); + options_flag = ExportModule1.set( LINEAR_ALGEBRA_SOLVER, GAUSS_LU ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: LINEAR_ALGEBRA_SOLVER"); + options_flag = ExportModule1.set( IMPLICIT_INTEGRATOR_NUM_ITS, 5 ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: IMPLICIT_INTEGRATOR_NUM_ITS"); + options_flag = ExportModule1.set( CG_USE_OPENMP, YES ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: CG_USE_OPENMP"); + options_flag = ExportModule1.set( CG_HARDCODE_CONSTRAINT_VALUES, NO ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: CG_HARDCODE_CONSTRAINT_VALUES"); + options_flag = ExportModule1.set( CG_USE_VARIABLE_WEIGHTING_MATRIX, NO ); + if(options_flag != 0) mexErrMsgTxt("ACADO export failed when setting the following option: CG_USE_VARIABLE_WEIGHTING_MATRIX"); + uint export_flag; + export_flag = ExportModule1.exportCode( "." ); + if(export_flag != 0) mexErrMsgTxt("ACADO export failed because of the above error(s)!"); + + + clearAllStaticCounters( ); + +} + diff --git a/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_RUN.m b/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_RUN.m new file mode 100644 index 0000000..e69de29 diff --git a/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_RUN.mexa64 b/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_RUN.mexa64 new file mode 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a/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_data_acadodata_M1.txt +++ b/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_data_acadodata_M1.txt @@ -1,16 +1,18 @@ -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 -0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 -0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 -0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 +1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 From 7b49a5b00a49f1e451ea2d6504792e92d7687704 Mon Sep 17 00:00:00 2001 From: barzanisar Date: Fri, 15 Dec 2017 18:27:06 +0100 Subject: [PATCH 3/3] for testing --- .../src/modified_rodrigues_nmpc_node.cc | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc b/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc index c184be9..fa308ae 100644 --- a/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc +++ b/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc @@ -151,10 +151,10 @@ namespace mav_control { if (forces[i] >=0) { - (*forces_command).angular_velocities.push_back(sqrt(forces[i]/force_const)); + (*forces_command).angular_velocities.push_back(3*sqrt(forces[i]/force_const)); } else { - (*forces_command).angular_velocities.push_back(-sqrt(-forces[i]/force_const)); + (*forces_command).angular_velocities.push_back(-3*sqrt(-forces[i]/force_const)); } }

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@@ -0,0 +1,16 @@ +1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 diff --git a/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_data_acadodata_M2.txt b/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_data_acadodata_M2.txt new file mode 100644 index 0000000..512bd5e --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc_data_acadodata_M2.txt @@ -0,0 +1,6 @@ +1 0 0 0 0 0 +0 1 0 0 0 0 +0 0 1 0 0 0 +0 0 0 1 0 0 +0 0 0 0 1 0 +0 0 0 0 0 1 diff --git a/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp.m b/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp.m new file mode 100644 index 0000000..ed9c25b --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp.m @@ -0,0 +1,131 @@ +clc; +clear all; +close all; + +Ts = 0.1; +EXPORT = 1; + + +DifferentialState e_p(3,1) e_v(3,1) e_mrp(3,1) e_w(3,1); +Control f1 f2 f3 f4; + +OnlineData mass; +OnlineData inertia(3); +OnlineData drag_coefficient; +OnlineData armlength; +OnlineData angVel_ref; +OnlineData yaw_ref; +OnlineData external_forces(3); + + +n_XD = length(diffStates); +n_U = length(controls); + +g = 9.8066; +m=mass; +J=diag(inertia); +inv_J=diag([1/inertia(1), 1/inertia(2), 1/inertia(3)]); +l= armlength; +c=drag_coefficient; + +% %references +q_ID=[cos(yaw_ref/2); 0; 0; sin(yaw_ref/2)]; +%R_ID=[cos(yaw_ref) -sin(yaw_ref) 0; sin(yaw_ref) cos(yaw_ref) 0; 0 0 1]; +u_ss=(m*g/4)*ones(4,1); +u_ss_total=u_ss(1)+u_ss(2)+u_ss(3)+u_ss(4); +w_B_ID= [angVel_ref;0;0]; +%% Differential Equation +S=[0 -e_mrp(3) e_mrp(2);e_mrp(3) 0 -e_mrp(1); -e_mrp(2) e_mrp(1) 0]; + +eq0= ( 1-(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2) )/(1 + e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 ); +eq13= (2/(1 + e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 )) * e_mrp; + + +err_thrust=[0;rotate_quat([eq0;eq13],[0;0;0;f1+f2+f3+f4])]-[0; 0; 0; u_ss_total]; %-[0; 0; 0; u_ss_total]; +vdot=rotate_quat(q_ID,err_thrust); + +% in=[ (e_mrp(1)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), -(e_mrp(3) - e_mrp(1)*e_mrp(2))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(2) + e_mrp(1)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1); ... +% (e_mrp(3) + e_mrp(1)*e_mrp(2))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(2)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), -(e_mrp(1) - e_mrp(2)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1);... +% -(e_mrp(2) - e_mrp(1)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(1) + e_mrp(2)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(3)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1)]; +% +% +% R_DB= (eye(3) + S)*(eye(3) + S)*in * in ; +% err_thrust=R_DB * [0;0;f1+f2+f3+f4]-[0; 0; u_ss_total]; +%vdot=R_ID*err_thrust; + + +mq_errdot= 0.25*((1-e_mrp'*e_mrp)*eye(3) + 2*S + 2*e_mrp*e_mrp')*e_w; + +M=[(f2-f4)*l; (f3-f1)*l; c*(f1-f2+f3-f4)]; + + +f = dot([e_p; e_v; e_mrp; e_w]) == ... + [e_v;... + (1/m)* vdot + external_forces; ... + mq_errdot;... + inv_J*(M-cross( (e_w+w_B_ID), J*(e_w+w_B_ID) )) + cross(e_w, w_B_ID);... + ]; + +h = [e_p;... + e_v;... + e_mrp;... + e_w;... + [f1 f2 f3 f4]' - u_ss]; + +hN = [e_p;... + e_v]; + +%% MPCexport +acadoSet('problemname', 'mav_modified_rodrigues_nmpc'); + +N = 20; %40 +ocp = acado.OCP( 0.0, N*Ts, N ); + +W_mat = eye(length(h)); +WN_mat = eye(length(hN)); +W = acado.BMatrix(W_mat); +WN = acado.BMatrix(WN_mat); + +ocp.minimizeLSQ( W, h ); +ocp.minimizeLSQEndTerm( WN, hN ); +ocp.subjectTo(-6.0 <= [f1; f2; f3; f4] <= 6.0); +%ocp.subjectTo(-5 <= e_w <= 5); +%ocp.subjectTo(cos(65*pi/180) <= R_DB(3,3) ); +ocp.setModel(f); + + +mpc = acado.OCPexport( ocp ); +mpc.set( 'HESSIAN_APPROXIMATION', 'GAUSS_NEWTON' ); +mpc.set( 'DISCRETIZATION_TYPE', 'MULTIPLE_SHOOTING' ); +mpc.set( 'SPARSE_QP_SOLUTION', 'FULL_CONDENSING_N2' ); +mpc.set( 'INTEGRATOR_TYPE', 'INT_IRK_GL4' ); +mpc.set( 'NUM_INTEGRATOR_STEPS', N ); +mpc.set( 'QP_SOLVER', 'QP_QPOASES' ); +mpc.set( 'HOTSTART_QP', 'NO' ); +mpc.set( 'LEVENBERG_MARQUARDT', 1e-10 ); + + +mpc.set( 'LINEAR_ALGEBRA_SOLVER', 'GAUSS_LU' ); +mpc.set( 'IMPLICIT_INTEGRATOR_NUM_ITS', 5 ); +mpc.set( 'CG_USE_OPENMP', 'YES' ); +mpc.set( 'CG_HARDCODE_CONSTRAINT_VALUES', 'NO' ); +mpc.set( 'CG_USE_VARIABLE_WEIGHTING_MATRIX', 'NO' ); + + +if EXPORT + mpc.exportCode('.'); +end + + +function [rotated_quat]=rotate_quat(q,v) +% q and v are 4x1 quats +anss= quat_mult(quat_mult(q,v), [q(1); -q(2:4)]); +rotated_quat=anss(2:4); %to covert to 3x1 vec +end + +function [mult_quat]=quat_mult(q,p) +%q and p are 4x1 quats +mult_quat=[ p(1)*q(1) - p(2)*q(2) - p(3)*q(3) - p(4)*q(4), p(1)*q(2) + p(2)*q(1) - p(3)*q(4) + p(4)*q(3), p(1)*q(3) + p(3)*q(1) + p(2)*q(4) - p(4)*q(2), p(1)*q(4) - p(2)*q(3) + p(3)*q(2) + p(4)*q(1)]'; +%returns 4x1 quat +end + diff --git a/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex.m b/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex.m new file mode 100644 index 0000000..8722c37 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex.m @@ -0,0 +1,145 @@ +clc; +clear all; +close all; + +Ts = 0.1; %prediction sampling time %0.05 +EXPORT = 1; + +DifferentialState e_p(3,1) e_v(3,1) e_mrp(3,1) e_w(3,1); +Control f1 f2 f3 f4 f5 f6; + +OnlineData mass; +OnlineData inertia(3); % vector Ixx, Iyy, Izz 1x3 vec? +OnlineData drag_coefficient; % c=0.0001; +OnlineData armlength; +OnlineData angVel_ref; +OnlineData yaw_ref; %pi/4 //should reference and arm length be online data? +OnlineData external_forces(3); +%OnlineData quat_norm_gain; + +n_XD = length(diffStates); +n_U = length(controls); + +g = 9.8066; %g = 9.81; +m=mass; %1.9; +J=diag(inertia); %diag([0.09,0.09,0.17]); %Inertia +inv_J=diag([1/inertia(1), 1/inertia(2), 1/inertia(3)]); %inv(J); +l= armlength; %length +c=drag_coefficient; %0.0001; %drag coefficient + +% %references +% yaw_ref=pi/4; +q_ID=[cos(yaw_ref/2); 0; 0; sin(yaw_ref/2)]; +%R_ID=[cos(yaw_ref) -sin(yaw_ref) 0; sin(yaw_ref) cos(yaw_ref) 0; 0 0 1]; +u_ss=(m*g/n_U)*ones(n_U,1); %from outside +u_ss_total= m*g; %mg +w_B_ID= [angVel_ref;0;0]; % should be online data since desired angular vel?? +%% Differential Equation + +S=[0 -e_mrp(3) e_mrp(2);e_mrp(3) 0 -e_mrp(1); -e_mrp(2) e_mrp(1) 0]; + +eq0= ( 1-(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2) )/(1 + e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 ); +eq13= (2/(1 + e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 )) * e_mrp; + +A=[0.0435778713738291,-0.0871557427476582,0.0435778713738291,0.0435778713738291,-0.0871557427476582,0.0435778713738291;-0.0754790873051733,0,0.0754790873051733,-0.0754790873051733,0,0.0754790873051733;0.996194698091746,0.996194698091746,0.996194698091746,0.996194698091746,0.996194698091746,0.996194698091746;0.143469078891783,0.286938157783566,0.143469078891783,-0.143469078891783,-0.286938157783566,-0.143469078891783;-0.248495733955676,0,0.248495733955676,0.248495733955676,0,-0.248495733955676;-0.0419218334972761,0.0419218334972761,-0.0419218334972761,0.0419218334972761,-0.0419218334972761,0.0419218334972761]; +F_M= A*[f1;f2;f3;f4;f5;f6]; + +%err_thrust=[0;rotate_quat([eq0;eq13],[0;F_M(1:3)])]-[0; 0; 0; u_ss_total]; %-[0; 0; 0; u_ss_total]; +err_thrust=[0;rotate_quat([eq0;eq13],[0;0;0;F_M(3)])]-[0; 0; 0; u_ss_total]; %-[0; 0; 0; u_ss_total]; +vdot=rotate_quat(q_ID,err_thrust); + +% in=[ (e_mrp(1)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), -(e_mrp(3) - e_mrp(1)*e_mrp(2))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(2) + e_mrp(1)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1); ... +% (e_mrp(3) + e_mrp(1)*e_mrp(2))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(2)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), -(e_mrp(1) - e_mrp(2)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1);... +% -(e_mrp(2) - e_mrp(1)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(1) + e_mrp(2)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(3)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1)]; +% +% +% R_DB= (eye(3) + S)*(eye(3) + S)*in * in ; +% err_thrust=R_DB * [0;0;f1+f2+f3+f4]-[0; 0; u_ss_total]; +%vdot=R_ID*err_thrust; + + +mq_errdot= 0.25*((1-e_mrp'*e_mrp)*eye(3) + 2*S + 2*e_mrp*e_mrp')*e_w; + +M = F_M(4:6); %moments % include sign of ftotal in yawing moment +%M=[0;0;F_M(6)]; + + +f = dot([e_p; e_v; e_mrp; e_w]) == ... + [e_v;... + (1/m)* vdot + external_forces; ... + mq_errdot;... %+0.5*r*e_q*(1/(e_q'*e_q)-1) %baumgarte stabilisation + inv_J*(M-cross( (e_w+w_B_ID), J*(e_w+w_B_ID) )) + cross(e_w, w_B_ID);... + ]; + +h = [e_p;... + e_v;... + e_mrp;... + e_w;... + [f1 f2 f3 f4 f5 f6]' - u_ss]; + +hN = [e_p;... + e_v]; + +%% MPCexport +acadoSet('problemname', 'mav_modified_rodrigues_nmpc'); %'barza_mpc' + +N = 20; %40 +ocp = acado.OCP( 0.0, N*Ts, N ); + +W_mat = eye(length(h)); +WN_mat = eye(length(hN)); +W = acado.BMatrix(W_mat); +WN = acado.BMatrix(WN_mat); + +ocp.minimizeLSQ( W, h ); +ocp.minimizeLSQEndTerm( WN, hN ); +ocp.subjectTo(-8.0 <= [f1; f2; f3; f4; f5; f6] <= 8.0); +%ocp.subjectTo(-5 <= e_w <= 5); +ocp.subjectTo(-2.5 <= e_mrp <= 2.5); +%ocp.subjectTo(cos(65*pi/180) <= R_DB(3,3) ); +ocp.setModel(f); + + +mpc = acado.OCPexport( ocp ); +mpc.set( 'HESSIAN_APPROXIMATION', 'GAUSS_NEWTON' ); +mpc.set( 'DISCRETIZATION_TYPE', 'MULTIPLE_SHOOTING' ); +mpc.set( 'SPARSE_QP_SOLUTION', 'FULL_CONDENSING_N2' ); %FULL_CONDENsinG_N2 +mpc.set( 'INTEGRATOR_TYPE', 'INT_IRK_GL4' ); +mpc.set( 'NUM_INTEGRATOR_STEPS', N ); +mpc.set( 'QP_SOLVER', 'QP_QPOASES' ); +mpc.set( 'HOTSTART_QP', 'NO' ); +mpc.set( 'LEVENBERG_MARQUARDT', 1e-10 ); + + +mpc.set( 'LINEAR_ALGEBRA_SOLVER', 'GAUSS_LU' ); %Do we need this? +mpc.set( 'IMPLICIT_INTEGRATOR_NUM_ITS', 5 ); +mpc.set( 'CG_USE_OPENMP', 'YES' ); +mpc.set( 'CG_HARDCODE_CONSTRAINT_VALUES', 'NO' ); +mpc.set( 'CG_USE_VARIABLE_WEIGHTING_MATRIX', 'NO' ); + +% if EXPORT +% mpc.exportCode( 'export_MPC' ); +% copyfile('../../../../../../external_packages/qpoases', 'export_MPC/qpoases', 'f') +% +% cd export_MPC +% make_acado_solver('../acado_MPCstep') +% cd .. +% end + +if EXPORT + mpc.exportCode('.'); +end + + +function [rotated_quat]=rotate_quat(q,v) +% q and v are 4x1 quats +anss= quat_mult(quat_mult(q,v), [q(1); -q(2:4)]); +rotated_quat=anss(2:4); %to covert to 3x1 vec +end + +function [mult_quat]=quat_mult(q,p) +%q and p are 4x1 quats +mult_quat=[ p(1)*q(1) - p(2)*q(2) - p(3)*q(3) - p(4)*q(4), p(1)*q(2) + p(2)*q(1) - p(3)*q(4) + p(4)*q(3), p(1)*q(3) + p(3)*q(1) + p(2)*q(4) - p(4)*q(2), p(1)*q(4) - p(2)*q(3) + p(3)*q(2) + p(4)*q(1)]'; +%returns 4x1 quat +end + diff --git a/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex_shadow.m b/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex_shadow.m new file mode 100644 index 0000000..aec71b8 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex_shadow.m @@ -0,0 +1,139 @@ +clc; +clear all; +close all; + +Ts = 0.1; %prediction sampling time %0.05 +EXPORT = 1; + +DifferentialState e_p(3,1) e_v(3,1) e_mrp(3,1) e_w(3,1); +Control f1 f2 f3 f4 f5 f6; + +OnlineData mass; +OnlineData inertia(3); +OnlineData drag_coefficient; +OnlineData armlength; +OnlineData angVel_ref; +OnlineData yaw_ref; +OnlineData external_forces(3); + + +n_XD = length(diffStates); +n_U = length(controls); + +g = 9.8066; +m=mass; +J=diag(inertia); +inv_J=diag([1/inertia(1), 1/inertia(2), 1/inertia(3)]); +l= armlength; +c=drag_coefficient; +K=1000; + +%references +q_ID=[cos(yaw_ref/2); 0; 0; sin(yaw_ref/2)]; +%R_ID=[cos(yaw_ref) -sin(yaw_ref) 0; sin(yaw_ref) cos(yaw_ref) 0; 0 0 1]; +u_ss=(m*g/n_U)*ones(n_U,1); +u_ss_total= m*g; +w_B_ID= [angVel_ref;0;0]; +%% Differential Equation +logistic_func= 1/(1+exp(-K*(1-e_mrp'*e_mrp))); +u_mrp=logistic_func * e_mrp + (1-logistic_func) * (-1/(e_mrp'*e_mrp))*e_mrp; +%u_mrp=(1/(1+exp(-K*(1-e_mrp'*e_mrp)))) * e_mrp + (1-(1/(1+exp(-K*(1-e_mrp'*e_mrp))))) * (-1/(e_mrp'*e_mrp))*e_mrp; + +S=[0 -u_mrp(3) u_mrp(2);u_mrp(3) 0 -u_mrp(1); -u_mrp(2) u_mrp(1) 0]; + +eq0= ( 1-(u_mrp(1)^2 + u_mrp(2)^2 + u_mrp(3)^2) )/(1 + u_mrp(1)^2 + u_mrp(2)^2 + u_mrp(3)^2 ); +eq13= (2/(1 + u_mrp(1)^2 + u_mrp(2)^2 + u_mrp(3)^2 )) * u_mrp; + +A=[0.0435778713738291,-0.0871557427476582,0.0435778713738291,0.0435778713738291,-0.0871557427476582,0.0435778713738291;-0.0754790873051733,0,0.0754790873051733,-0.0754790873051733,0,0.0754790873051733;0.996194698091746,0.996194698091746,0.996194698091746,0.996194698091746,0.996194698091746,0.996194698091746;0.143469078891783,0.286938157783566,0.143469078891783,-0.143469078891783,-0.286938157783566,-0.143469078891783;-0.248495733955676,0,0.248495733955676,0.248495733955676,0,-0.248495733955676;-0.0419218334972761,0.0419218334972761,-0.0419218334972761,0.0419218334972761,-0.0419218334972761,0.0419218334972761]; +F_M= A*[f1;f2;f3;f4;f5;f6]; + +%err_thrust_desired_frame=[0;rotate_quat([eq0;eq13],[0;F_M(1:3)])]-[0; 0; 0; u_ss_total]; +err_thrust_desired_frame=[0;rotate_quat([eq0;eq13],[0;0;0;F_M(3)])]-[0; 0; 0; u_ss_total]; +err_thrust_inertial_frame=rotate_quat(q_ID,err_thrust_desired_frame); + +% in=[ (e_mrp(1)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), -(e_mrp(3) - e_mrp(1)*e_mrp(2))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(2) + e_mrp(1)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1); ... +% (e_mrp(3) + e_mrp(1)*e_mrp(2))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(2)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), -(e_mrp(1) - e_mrp(2)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1);... +% -(e_mrp(2) - e_mrp(1)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(1) + e_mrp(2)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(3)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1)]; +% +% +% R_DB= (eye(3) + S)*(eye(3) + S)*in * in ; +% err_thrust_desired_frame=R_DB * [0;0;f1+f2+f3+f4]-[0; 0; u_ss_total]; +%err_thrust_inertial_frame=R_ID*err_thrust_desired_frame; + + +mrp_dynamics= 0.25*((1-u_mrp'*u_mrp)*eye(3) + 2*S + 2*u_mrp*u_mrp')*e_w; + +M = F_M(4:6); + + +f = dot([e_p; e_v; e_mrp; e_w]) == ... + [e_v;... + (1/m)* err_thrust_inertial_frame + external_forces; ... + mrp_dynamics;... + inv_J*(M-cross( (e_w+w_B_ID), J*(e_w+w_B_ID) )) + cross(e_w, w_B_ID);... + ]; + +h = [e_p;... + e_v;... + e_mrp;... + e_w;... + [f1 f2 f3 f4 f5 f6]' - u_ss]; + +hN = [e_p;... + e_v]; + +%% MPCexport +acadoSet('problemname', 'mav_modified_rodrigues_nmpc'); + +N = 20; %40 +ocp = acado.OCP( 0.0, N*Ts, N ); + +W_mat = eye(length(h)); +WN_mat = eye(length(hN)); +W = acado.BMatrix(W_mat); +WN = acado.BMatrix(WN_mat); + +ocp.minimizeLSQ( W, h ); +ocp.minimizeLSQEndTerm( WN, hN ); +ocp.subjectTo(-8.0 <= [f1; f2; f3; f4; f5; f6] <= 8.0); +%ocp.subjectTo(-5 <= e_w <= 5); +%ocp.subjectTo(-2.5 <= e_mrp <= 2.5); +%ocp.subjectTo(cos(65*pi/180) <= R_DB(3,3) ); +ocp.setModel(f); + + +mpc = acado.OCPexport( ocp ); +mpc.set( 'HESSIAN_APPROXIMATION', 'GAUSS_NEWTON' ); +mpc.set( 'DISCRETIZATION_TYPE', 'MULTIPLE_SHOOTING' ); +mpc.set( 'SPARSE_QP_SOLUTION', 'FULL_CONDENSING_N2' ); +mpc.set( 'INTEGRATOR_TYPE', 'INT_IRK_GL4' ); +mpc.set( 'NUM_INTEGRATOR_STEPS', N ); +mpc.set( 'QP_SOLVER', 'QP_QPOASES' ); +mpc.set( 'HOTSTART_QP', 'NO' ); +mpc.set( 'LEVENBERG_MARQUARDT', 1e-10 ); + + +mpc.set( 'LINEAR_ALGEBRA_SOLVER', 'GAUSS_LU' ); +mpc.set( 'IMPLICIT_INTEGRATOR_NUM_ITS', 5 ); +mpc.set( 'CG_USE_OPENMP', 'YES' ); +mpc.set( 'CG_HARDCODE_CONSTRAINT_VALUES', 'NO' ); +mpc.set( 'CG_USE_VARIABLE_WEIGHTING_MATRIX', 'NO' ); + + +if EXPORT + mpc.exportCode('.'); +end + + +function [rotated_quat]=rotate_quat(q,v) +% q and v are 4x1 quats +anss= quat_mult(quat_mult(q,v), [q(1); -q(2:4)]); +rotated_quat=anss(2:4); %to covert to 3x1 vec +end + +function [mult_quat]=quat_mult(q,p) +%q and p are 4x1 quats +mult_quat=[ p(1)*q(1) - p(2)*q(2) - p(3)*q(3) - p(4)*q(4), p(1)*q(2) + p(2)*q(1) - p(3)*q(4) + p(4)*q(3), p(1)*q(3) + p(3)*q(1) + p(2)*q(4) - p(4)*q(2), p(1)*q(4) - p(2)*q(3) + p(3)*q(2) + p(4)*q(1)]'; +%returns 4x1 quat +end + diff --git a/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex_shadow.m~ b/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex_shadow.m~ new file mode 100644 index 0000000..d06f8ef --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/nmpc_solver_setup_mrp_hex_shadow.m~ @@ -0,0 +1,140 @@ +clc; +clear all; +close all; + +Ts = 0.1; %prediction sampling time %0.05 +EXPORT = 1; + +DifferentialState e_p(3,1) e_v(3,1) e_mrp(3,1) e_w(3,1); +Control f1 f2 f3 f4 f5 f6; + +OnlineData mass; +OnlineData inertia(3); +OnlineData drag_coefficient; +OnlineData armlength; +OnlineData angVel_ref; +OnlineData yaw_ref; +OnlineData external_forces(3); + + +n_XD = length(diffStates); +n_U = length(controls); + +g = 9.8066; +m=mass; +J=diag(inertia); +inv_J=diag([1/inertia(1), 1/inertia(2), 1/inertia(3)]); +l= armlength; +c=drag_coefficient; +K=1000; + +% %references + +q_ID=[cos(yaw_ref/2); 0; 0; sin(yaw_ref/2)]; +%R_ID=[cos(yaw_ref) -sin(yaw_ref) 0; sin(yaw_ref) cos(yaw_ref) 0; 0 0 1]; +u_ss=(m*g/n_U)*ones(n_U,1); +u_ss_total= m*g; +w_B_ID= [angVel_ref;0;0]; +%% Differential Equation +logistic_func= 1/(1+exp(-K*(1-e_mrp'*e_mrp))); +u_mrp=logistic_func * e_mrp + (1-logistic_func) * (-1/(e_mrp'*e_mrp))*e_mrp; +%u_mrp=(1/(1+exp(-K*(1-e_mrp'*e_mrp)))) * e_mrp + (1-(1/(1+exp(-K*(1-e_mrp'*e_mrp))))) * (-1/(e_mrp'*e_mrp))*e_mrp; + +S=[0 -u_mrp(3) u_mrp(2);u_mrp(3) 0 -u_mrp(1); -u_mrp(2) u_mrp(1) 0]; + +eq0= ( 1-(u_mrp(1)^2 + u_mrp(2)^2 + u_mrp(3)^2) )/(1 + u_mrp(1)^2 + u_mrp(2)^2 + u_mrp(3)^2 ); +eq13= (2/(1 + u_mrp(1)^2 + u_mrp(2)^2 + u_mrp(3)^2 )) * u_mrp; + +A=[0.0435778713738291,-0.0871557427476582,0.0435778713738291,0.0435778713738291,-0.0871557427476582,0.0435778713738291;-0.0754790873051733,0,0.0754790873051733,-0.0754790873051733,0,0.0754790873051733;0.996194698091746,0.996194698091746,0.996194698091746,0.996194698091746,0.996194698091746,0.996194698091746;0.143469078891783,0.286938157783566,0.143469078891783,-0.143469078891783,-0.286938157783566,-0.143469078891783;-0.248495733955676,0,0.248495733955676,0.248495733955676,0,-0.248495733955676;-0.0419218334972761,0.0419218334972761,-0.0419218334972761,0.0419218334972761,-0.0419218334972761,0.0419218334972761]; +F_M= A*[f1;f2;f3;f4;f5;f6]; + +%err_thrust=[0;rotate_quat([eq0;eq13],[0;F_M(1:3)])]-[0; 0; 0; u_ss_total]; +err_thrust=[0;rotate_quat([eq0;eq13],[0;0;0;F_M(3)])]-[0; 0; 0; u_ss_total]; +vdot=rotate_quat(q_ID,err_thrust); + +% in=[ (e_mrp(1)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), -(e_mrp(3) - e_mrp(1)*e_mrp(2))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(2) + e_mrp(1)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1); ... +% (e_mrp(3) + e_mrp(1)*e_mrp(2))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(2)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), -(e_mrp(1) - e_mrp(2)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1);... +% -(e_mrp(2) - e_mrp(1)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(1) + e_mrp(2)*e_mrp(3))/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1), (e_mrp(3)^2 + 1)/(e_mrp(1)^2 + e_mrp(2)^2 + e_mrp(3)^2 + 1)]; +% +% +% R_DB= (eye(3) + S)*(eye(3) + S)*in * in ; +% err_thrust=R_DB * [0;0;f1+f2+f3+f4]-[0; 0; u_ss_total]; +%vdot=R_ID*err_thrust; + + +mq_errdot= 0.25*((1-u_mrp'*u_mrp)*eye(3) + 2*S + 2*u_mrp*u_mrp')*e_w; + +M = F_M(4:6); + + +f = dot([e_p; e_v; e_mrp; e_w]) == ... + [e_v;... + (1/m)* vdot + external_forces; ... + mq_errdot;... + inv_J*(M-cross( (e_w+w_B_ID), J*(e_w+w_B_ID) )) + cross(e_w, w_B_ID);... + ]; + +h = [e_p;... + e_v;... + e_mrp;... + e_w;... + [f1 f2 f3 f4 f5 f6]' - u_ss]; + +hN = [e_p;... + e_v]; + +%% MPCexport +acadoSet('problemname', 'mav_modified_rodrigues_nmpc'); + +N = 20; %40 +ocp = acado.OCP( 0.0, N*Ts, N ); + +W_mat = eye(length(h)); +WN_mat = eye(length(hN)); +W = acado.BMatrix(W_mat); +WN = acado.BMatrix(WN_mat); + +ocp.minimizeLSQ( W, h ); +ocp.minimizeLSQEndTerm( WN, hN ); +ocp.subjectTo(-8.0 <= [f1; f2; f3; f4; f5; f6] <= 8.0); +%ocp.subjectTo(-5 <= e_w <= 5); +%ocp.subjectTo(-2.5 <= e_mrp <= 2.5); +%ocp.subjectTo(cos(65*pi/180) <= R_DB(3,3) ); +ocp.setModel(f); + + +mpc = acado.OCPexport( ocp ); +mpc.set( 'HESSIAN_APPROXIMATION', 'GAUSS_NEWTON' ); +mpc.set( 'DISCRETIZATION_TYPE', 'MULTIPLE_SHOOTING' ); +mpc.set( 'SPARSE_QP_SOLUTION', 'FULL_CONDENSING_N2' ); +mpc.set( 'INTEGRATOR_TYPE', 'INT_IRK_GL4' ); +mpc.set( 'NUM_INTEGRATOR_STEPS', N ); +mpc.set( 'QP_SOLVER', 'QP_QPOASES' ); +mpc.set( 'HOTSTART_QP', 'NO' ); +mpc.set( 'LEVENBERG_MARQUARDT', 1e-10 ); + + +mpc.set( 'LINEAR_ALGEBRA_SOLVER', 'GAUSS_LU' ); +mpc.set( 'IMPLICIT_INTEGRATOR_NUM_ITS', 5 ); +mpc.set( 'CG_USE_OPENMP', 'YES' ); +mpc.set( 'CG_HARDCODE_CONSTRAINT_VALUES', 'NO' ); +mpc.set( 'CG_USE_VARIABLE_WEIGHTING_MATRIX', 'NO' ); + + +if EXPORT + mpc.exportCode('.'); +end + + +function [rotated_quat]=rotate_quat(q,v) +% q and v are 4x1 quats +anss= quat_mult(quat_mult(q,v), [q(1); -q(2:4)]); +rotated_quat=anss(2:4); %to covert to 3x1 vec +end + +function [mult_quat]=quat_mult(q,p) +%q and p are 4x1 quats +mult_quat=[ p(1)*q(1) - p(2)*q(2) - p(3)*q(3) - p(4)*q(4), p(1)*q(2) + p(2)*q(1) - p(3)*q(4) + p(4)*q(3), p(1)*q(3) + p(3)*q(1) + p(2)*q(4) - p(4)*q(2), p(1)*q(4) - p(2)*q(3) + p(3)*q(2) + p(4)*q(1)]'; +%returns 4x1 quat +end + diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/EXAMPLES/example1.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/EXAMPLES/example1.cpp new file mode 100644 index 0000000..92b47fc --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/EXAMPLES/example1.cpp @@ -0,0 +1,74 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file EXAMPLES/example1.cpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Very simple example for testing qpOASES (using QProblem class). + */ + + +#include + + +/** Example for qpOASES main function using the QProblem class. */ +int main( ) +{ + /* Setup data of first QP. */ + real_t H[2*2] = { 1.0, 0.0, 0.0, 0.5 }; + real_t A[1*2] = { 1.0, 1.0 }; + real_t g[2] = { 1.5, 1.0 }; + real_t lb[2] = { 0.5, -2.0 }; + real_t ub[2] = { 5.0, 2.0 }; + real_t lbA[1] = { -1.0 }; + real_t ubA[1] = { 2.0 }; + + /* Setup data of second QP. */ + real_t g_new[2] = { 1.0, 1.5 }; + real_t lb_new[2] = { 0.0, -1.0 }; + real_t ub_new[2] = { 5.0, -0.5 }; + real_t lbA_new[1] = { -2.0 }; + real_t ubA_new[1] = { 1.0 }; + + + /* Setting up QProblem object. */ + QProblem example( 2,1 ); + + /* Solve first QP. */ + int nWSR = 10; + example.init( H,g,A,lb,ub,lbA,ubA, nWSR,0 ); + + /* Solve second QP. */ + nWSR = 10; + example.hotstart( g_new,lb_new,ub_new,lbA_new,ubA_new, nWSR,0 ); + + return 0; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/EXAMPLES/example1b.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/EXAMPLES/example1b.cpp new file mode 100644 index 0000000..331f19d --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/EXAMPLES/example1b.cpp @@ -0,0 +1,69 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file EXAMPLES/example1b.cpp + * \author Hans Joachim Ferreau + * \version 1.3 + * \date 2007-2008 + * + * Very simple example for testing qpOASES using the QProblemB class. + */ + + +#include + + +/** Example for qpOASES main function using the QProblemB class. */ +int main( ) +{ + /* Setup data of first QP. */ + real_t H[2*2] = { 1.0, 0.0, 0.0, 0.5 }; + real_t g[2] = { 1.5, 1.0 }; + real_t lb[2] = { 0.5, -2.0 }; + real_t ub[2] = { 5.0, 2.0 }; + + /* Setup data of second QP. */ + real_t g_new[2] = { 1.0, 1.5 }; + real_t lb_new[2] = { 0.0, -1.0 }; + real_t ub_new[2] = { 5.0, -0.5 }; + + + /* Setting up QProblemB object. */ + QProblemB example( 2 ); + + /* Solve first QP. */ + int nWSR = 10; + example.init( H,g,lb,ub, nWSR,0 ); + + /* Solve second QP. */ + nWSR = 10; + example.hotstart( g_new,lb_new,ub_new, nWSR,0 ); + + return 0; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Bounds.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Bounds.hpp new file mode 100644 index 0000000..1fbd28a --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Bounds.hpp @@ -0,0 +1,189 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/Bounds.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of the Bounds class designed to manage working sets of + * bounds within a QProblem. + */ + + +#ifndef QPOASES_BOUNDS_HPP +#define QPOASES_BOUNDS_HPP + + +#include + + + +/** This class manages working sets of bounds by storing + * index sets and other status information. + * + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + */ +class Bounds : public SubjectTo +{ + /* + * PUBLIC MEMBER FUNCTIONS + */ + public: + /** Default constructor. */ + Bounds( ); + + /** Copy constructor (deep copy). */ + Bounds( const Bounds& rhs /**< Rhs object. */ + ); + + /** Destructor. */ + ~Bounds( ); + + /** Assignment operator (deep copy). */ + Bounds& operator=( const Bounds& rhs /**< Rhs object. */ + ); + + + /** Pseudo-constructor takes the number of bounds. + * \return SUCCESSFUL_RETURN */ + returnValue init( int n /**< Number of bounds. */ + ); + + + /** Initially adds number of a new (i.e. not yet in the list) bound to + * given index set. + * \return SUCCESSFUL_RETURN \n + RET_SETUP_BOUND_FAILED \n + RET_INDEX_OUT_OF_BOUNDS \n + RET_INVALID_ARGUMENTS */ + returnValue setupBound( int _number, /**< Number of new bound. */ + SubjectToStatus _status /**< Status of new bound. */ + ); + + /** Initially adds all numbers of new (i.e. not yet in the list) bounds to + * to the index set of free bounds; the order depends on the SujectToType + * of each index. + * \return SUCCESSFUL_RETURN \n + RET_SETUP_BOUND_FAILED */ + returnValue setupAllFree( ); + + + /** Moves index of a bound from index list of fixed to that of free bounds. + * \return SUCCESSFUL_RETURN \n + RET_MOVING_BOUND_FAILED \n + RET_INDEX_OUT_OF_BOUNDS */ + returnValue moveFixedToFree( int _number /**< Number of bound to be freed. */ + ); + + /** Moves index of a bound from index list of free to that of fixed bounds. + * \return SUCCESSFUL_RETURN \n + RET_MOVING_BOUND_FAILED \n + RET_INDEX_OUT_OF_BOUNDS */ + returnValue moveFreeToFixed( int _number, /**< Number of bound to be fixed. */ + SubjectToStatus _status /**< Status of bound to be fixed. */ + ); + + /** Swaps the indices of two free bounds within the index set. + * \return SUCCESSFUL_RETURN \n + RET_SWAPINDEX_FAILED */ + returnValue swapFree( int number1, /**< Number of first constraint or bound. */ + int number2 /**< Number of second constraint or bound. */ + ); + + + /** Returns number of variables. + * \return Number of variables. */ + inline int getNV( ) const; + + /** Returns number of implicitly fixed variables. + * \return Number of implicitly fixed variables. */ + inline int getNFV( ) const; + + /** Returns number of bounded (but possibly free) variables. + * \return Number of bounded (but possibly free) variables. */ + inline int getNBV( ) const; + + /** Returns number of unbounded variables. + * \return Number of unbounded variables. */ + inline int getNUV( ) const; + + + /** Sets number of implicitly fixed variables. + * \return SUCCESSFUL_RETURN */ + inline returnValue setNFV( int n /**< Number of implicitly fixed variables. */ + ); + + /** Sets number of bounded (but possibly free) variables. + * \return SUCCESSFUL_RETURN */ + inline returnValue setNBV( int n /**< Number of bounded (but possibly free) variables. */ + ); + + /** Sets number of unbounded variables. + * \return SUCCESSFUL_RETURN */ + inline returnValue setNUV( int n /**< Number of unbounded variables */ + ); + + + /** Returns number of free variables. + * \return Number of free variables. */ + inline int getNFR( ); + + /** Returns number of fixed variables. + * \return Number of fixed variables. */ + inline int getNFX( ); + + + /** Returns a pointer to free variables index list. + * \return Pointer to free variables index list. */ + inline Indexlist* getFree( ); + + /** Returns a pointer to fixed variables index list. + * \return Pointer to fixed variables index list. */ + inline Indexlist* getFixed( ); + + + /* + * PROTECTED MEMBER VARIABLES + */ + protected: + int nV; /**< Number of variables (nV = nFV + nBV + nUV). */ + int nFV; /**< Number of implicitly fixed variables. */ + int nBV; /**< Number of bounded (but possibly free) variables. */ + int nUV; /**< Number of unbounded variables. */ + + Indexlist free; /**< Index list of free variables. */ + Indexlist fixed; /**< Index list of fixed variables. */ +}; + +#include + +#endif /* QPOASES_BOUNDS_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Constants.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Constants.hpp new file mode 100644 index 0000000..8293fa5 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Constants.hpp @@ -0,0 +1,108 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/Constants.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2008 + * + * Definition of all global constants. + */ + + +#ifndef QPOASES_CONSTANTS_HPP +#define QPOASES_CONSTANTS_HPP + +#ifndef QPOASES_CUSTOM_INTERFACE +#include "acado_qpoases_interface.hpp" +#else + #define XSTR(x) #x + #define STR(x) XSTR(x) + #include STR(QPOASES_CUSTOM_INTERFACE) +#endif + +/** Maximum number of variables within a QP formulation. + Note: this value has to be positive! */ +const int NVMAX = QPOASES_NVMAX; + +/** Maximum number of constraints within a QP formulation. + Note: this value has to be positive! */ +const int NCMAX = QPOASES_NCMAX; + +/** Redefinition of NCMAX used for memory allocation, to avoid zero sized arrays + and compiler errors. */ +const int NCMAX_ALLOC = (NCMAX == 0) ? 1 : NCMAX; + +/**< Maximum number of working set recalculations. + Note: this value has to be positive! */ +const int NWSRMAX = QPOASES_NWSRMAX; + +/** Desired KKT tolerance of QP solution; a warning RET_INACCURATE_SOLUTION is + * issued if this tolerance is not met. + * Note: this value has to be positive! */ +const real_t DESIREDACCURACY = (real_t) 1.0e-3; + +/** Critical KKT tolerance of QP solution; an error is issued if this + * tolerance is not met. + * Note: this value has to be positive! */ +const real_t CRITICALACCURACY = (real_t) 1.0e-2; + + + +/** Numerical value of machine precision (min eps, s.t. 1+eps > 1). + Note: this value has to be positive! */ +const real_t EPS = (real_t) QPOASES_EPS; + +/** Numerical value of zero (for situations in which it would be + * unreasonable to compare with 0.0). + * Note: this value has to be positive! */ +const real_t ZERO = (real_t) 1.0e-50; + +/** Numerical value of infinity (e.g. for non-existing bounds). + * Note: this value has to be positive! */ +const real_t INFTY = (real_t) 1.0e12; + + +/** Lower/upper (constraints') bound tolerance (an inequality constraint + * whose lower and upper bound differ by less than BOUNDTOL is regarded + * to be an equality constraint). + * Note: this value has to be positive! */ +const real_t BOUNDTOL = (real_t) 1.0e-10; + +/** Offset for relaxing (constraints') bounds at beginning of an initial homotopy. + * Note: this value has to be positive! */ +const real_t BOUNDRELAXATION = (real_t) 1.0e3; + + +/** Factor that determines physical lengths of index lists. + * Note: this value has to be greater than 1! */ +const int INDEXLISTFACTOR = 5; + + +#endif /* QPOASES_CONSTANTS_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Constraints.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Constraints.hpp new file mode 100644 index 0000000..0b78747 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Constraints.hpp @@ -0,0 +1,181 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/Constraints.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of the Constraints class designed to manage working sets of + * constraints within a QProblem. + */ + + +#ifndef QPOASES_CONSTRAINTS_HPP +#define QPOASES_CONSTRAINTS_HPP + + +#include + + + +/** This class manages working sets of constraints by storing + * index sets and other status information. + * + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + */ +class Constraints : public SubjectTo +{ + /* + * PUBLIC MEMBER FUNCTIONS + */ + public: + /** Default constructor. */ + Constraints( ); + + /** Copy constructor (deep copy). */ + Constraints( const Constraints& rhs /**< Rhs object. */ + ); + + /** Destructor. */ + ~Constraints( ); + + /** Assignment operator (deep copy). */ + Constraints& operator=( const Constraints& rhs /**< Rhs object. */ + ); + + + /** Pseudo-constructor takes the number of constraints. + * \return SUCCESSFUL_RETURN */ + returnValue init( int n /**< Number of constraints. */ + ); + + + /** Initially adds number of a new (i.e. not yet in the list) constraint to + * a given index set. + * \return SUCCESSFUL_RETURN \n + RET_SETUP_CONSTRAINT_FAILED \n + RET_INDEX_OUT_OF_BOUNDS \n + RET_INVALID_ARGUMENTS */ + returnValue setupConstraint( int _number, /**< Number of new constraint. */ + SubjectToStatus _status /**< Status of new constraint. */ + ); + + /** Initially adds all enabled numbers of new (i.e. not yet in the list) constraints to + * to the index set of inactive constraints; the order depends on the SujectToType + * of each index. Only disabled constraints are added to index set of disabled constraints! + * \return SUCCESSFUL_RETURN \n + RET_SETUP_CONSTRAINT_FAILED */ + returnValue setupAllInactive( ); + + + /** Moves index of a constraint from index list of active to that of inactive constraints. + * \return SUCCESSFUL_RETURN \n + RET_MOVING_CONSTRAINT_FAILED */ + returnValue moveActiveToInactive( int _number /**< Number of constraint to become inactive. */ + ); + + /** Moves index of a constraint from index list of inactive to that of active constraints. + * \return SUCCESSFUL_RETURN \n + RET_MOVING_CONSTRAINT_FAILED */ + returnValue moveInactiveToActive( int _number, /**< Number of constraint to become active. */ + SubjectToStatus _status /**< Status of constraint to become active. */ + ); + + + /** Returns the number of constraints. + * \return Number of constraints. */ + inline int getNC( ) const; + + /** Returns the number of implicit equality constraints. + * \return Number of implicit equality constraints. */ + inline int getNEC( ) const; + + /** Returns the number of "real" inequality constraints. + * \return Number of "real" inequality constraints. */ + inline int getNIC( ) const; + + /** Returns the number of unbounded constraints (i.e. without any bounds). + * \return Number of unbounded constraints (i.e. without any bounds). */ + inline int getNUC( ) const; + + + /** Sets number of implicit equality constraints. + * \return SUCCESSFUL_RETURN */ + inline returnValue setNEC( int n /**< Number of implicit equality constraints. */ + ); + + /** Sets number of "real" inequality constraints. + * \return SUCCESSFUL_RETURN */ + inline returnValue setNIC( int n /**< Number of "real" inequality constraints. */ + ); + + /** Sets number of unbounded constraints (i.e. without any bounds). + * \return SUCCESSFUL_RETURN */ + inline returnValue setNUC( int n /**< Number of unbounded constraints (i.e. without any bounds). */ + ); + + + /** Returns the number of active constraints. + * \return Number of constraints. */ + inline int getNAC( ); + + /** Returns the number of inactive constraints. + * \return Number of constraints. */ + inline int getNIAC( ); + + + /** Returns a pointer to active constraints index list. + * \return Pointer to active constraints index list. */ + inline Indexlist* getActive( ); + + /** Returns a pointer to inactive constraints index list. + * \return Pointer to inactive constraints index list. */ + inline Indexlist* getInactive( ); + + + /* + * PROTECTED MEMBER VARIABLES + */ + protected: + int nC; /**< Number of constraints (nC = nEC + nIC + nUC). */ + int nEC; /**< Number of implicit equality constraints. */ + int nIC; /**< Number of "real" inequality constraints. */ + int nUC; /**< Number of unbounded constraints (i.e. without any bounds). */ + + Indexlist active; /**< Index list of active constraints. */ + Indexlist inactive; /**< Index list of inactive constraints. */ +}; + + +#include + +#endif /* QPOASES_CONSTRAINTS_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/CyclingManager.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/CyclingManager.hpp new file mode 100644 index 0000000..9b5c064 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/CyclingManager.hpp @@ -0,0 +1,126 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/CyclingManager.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of the CyclingManager class designed to detect + * and handle possible cycling during QP iterations. + */ + + +#ifndef QPOASES_CYCLINGMANAGER_HPP +#define QPOASES_CYCLINGMANAGER_HPP + + +#include + + + +/** This class is intended to detect and handle possible cycling during QP iterations. + * As cycling seems to occur quite rarely, this class is NOT FULLY IMPLEMENTED YET! + * + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + */ +class CyclingManager +{ + /* + * PUBLIC MEMBER FUNCTIONS + */ + public: + /** Default constructor. */ + CyclingManager( ); + + /** Copy constructor (deep copy). */ + CyclingManager( const CyclingManager& rhs /**< Rhs object. */ + ); + + /** Destructor. */ + ~CyclingManager( ); + + /** Copy asingment operator (deep copy). */ + CyclingManager& operator=( const CyclingManager& rhs /**< Rhs object. */ + ); + + + /** Pseudo-constructor which takes the number of bounds/constraints. + * \return SUCCESSFUL_RETURN */ + returnValue init( int _nV, /**< Number of bounds to be managed. */ + int _nC /**< Number of constraints to be managed. */ + ); + + + /** Stores index of a bound/constraint that might cause cycling. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + returnValue setCyclingStatus( int number, /**< Number of bound/constraint. */ + BooleanType isBound, /**< Flag that indicates if given number corresponds to a + * bound (BT_TRUE) or a constraint (BT_FALSE). */ + CyclingStatus _status /**< Cycling status of bound/constraint. */ + ); + + /** Returns if bound/constraint might cause cycling. + * \return BT_TRUE: bound/constraint might cause cycling \n + BT_FALSE: otherwise */ + CyclingStatus getCyclingStatus( int number, /**< Number of bound/constraint. */ + BooleanType isBound /**< Flag that indicates if given number corresponds to + * a bound (BT_TRUE) or a constraint (BT_FALSE). */ + ) const; + + + /** Clears all previous cycling information. + * \return SUCCESSFUL_RETURN */ + returnValue clearCyclingData( ); + + + /** Returns if cycling was detected. + * \return BT_TRUE iff cycling was detected. */ + inline BooleanType isCyclingDetected( ) const; + + + /* + * PROTECTED MEMBER VARIABLES + */ + protected: + int nV; /**< Number of managed bounds. */ + int nC; /**< Number of managed constraints. */ + + CyclingStatus status[NVMAX+NCMAX]; /**< Array to store cycling status of all bounds/constraints. */ + + BooleanType cyclingDetected; /**< Flag if cycling was detected. */ +}; + + +#include + +#endif /* QPOASES_CYCLINGMANAGER_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/EXTRAS/SolutionAnalysis.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/EXTRAS/SolutionAnalysis.hpp new file mode 100644 index 0000000..056bb26 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/EXTRAS/SolutionAnalysis.hpp @@ -0,0 +1,107 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/EXTRAS/SolutionAnalysis.hpp + * \author Milan Vukov, Boris Houska, Hans Joachim Ferreau + * \version 1.3embedded + * \date 2012 + * + * Solution analysis class, based on a class in the standard version of the qpOASES + */ + + +// + +#ifndef QPOASES_SOLUTIONANALYSIS_HPP +#define QPOASES_SOLUTIONANALYSIS_HPP + +#include + +/** Enables the computation of variance as is in the standard version of qpOASES */ +#define QPOASES_USE_OLD_VERSION 0 + +#if QPOASES_USE_OLD_VERSION +#define KKT_DIM (2 * NVMAX + NCMAX) +#endif + +class SolutionAnalysis +{ +public: + + /** Default constructor. */ + SolutionAnalysis( ); + + /** Copy constructor (deep copy). */ + SolutionAnalysis( const SolutionAnalysis& rhs /**< Rhs object. */ + ); + + /** Destructor. */ + ~SolutionAnalysis( ); + + /** Copy asingment operator (deep copy). */ + SolutionAnalysis& operator=( const SolutionAnalysis& rhs /**< Rhs object. */ + ); + + /** A routine for computation of inverse of the Hessian matrix. */ + returnValue getHessianInverse( + QProblem* qp, /** QP */ + real_t* hessianInverse /** Inverse of the Hessian matrix*/ + ); + + /** A routine for computation of inverse of the Hessian matrix. */ + returnValue getHessianInverse( QProblemB* qp, /** QP */ + real_t* hessianInverse /** Inverse of the Hessian matrix*/ + ); + +#if QPOASES_USE_OLD_VERSION + returnValue getVarianceCovariance( + QProblem* qp, + real_t* g_b_bA_VAR, + real_t* Primal_Dual_VAR + ); +#endif + +private: + + real_t delta_g_cov[ NVMAX ]; /** A covariance-vector of g */ + real_t delta_lb_cov[ NVMAX ]; /** A covariance-vector of lb */ + real_t delta_ub_cov[ NVMAX ]; /** A covariance-vector of ub */ + real_t delta_lbA_cov[ NCMAX_ALLOC ]; /** A covariance-vector of lbA */ + real_t delta_ubA_cov[ NCMAX_ALLOC ]; /** A covariance-vector of ubA */ + +#if QPOASES_USE_OLD_VERSION + real_t K[KKT_DIM * KKT_DIM]; /** A matrix to store an intermediate result */ +#endif + + int FR_idx[ NVMAX ]; /** Index array for free variables */ + int FX_idx[ NVMAX ]; /** Index array for fixed variables */ + int AC_idx[ NCMAX_ALLOC ]; /** Index array for active constraints */ + + real_t delta_xFR[ NVMAX ]; /** QP reaction, primal, w.r.t. free */ + real_t delta_xFX[ NVMAX ]; /** QP reaction, primal, w.r.t. fixed */ + real_t delta_yAC[ NVMAX ]; /** QP reaction, dual, w.r.t. active */ + real_t delta_yFX[ NVMAX ]; /** QP reaction, dual, w.r.t. fixed*/ +}; + +#endif // QPOASES_SOLUTIONANALYSIS_HPP diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Indexlist.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Indexlist.hpp new file mode 100644 index 0000000..18e3494 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Indexlist.hpp @@ -0,0 +1,154 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/Indexlist.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of the Indexlist class designed to manage index lists of + * constraints and bounds within a SubjectTo object. + */ + + +#ifndef QPOASES_INDEXLIST_HPP +#define QPOASES_INDEXLIST_HPP + + +#include + + +/** This class manages index lists. + * + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + */ +class Indexlist +{ + /* + * PUBLIC MEMBER FUNCTIONS + */ + public: + /** Default constructor. */ + Indexlist( ); + + /** Copy constructor (deep copy). */ + Indexlist( const Indexlist& rhs /**< Rhs object. */ + ); + + /** Destructor. */ + ~Indexlist( ); + + /** Assingment operator (deep copy). */ + Indexlist& operator=( const Indexlist& rhs /**< Rhs object. */ + ); + + /** Pseudo-constructor. + * \return SUCCESSFUL_RETURN */ + returnValue init( ); + + + /** Creates an array of all numbers within the index set in correct order. + * \return SUCCESSFUL_RETURN \n + RET_INDEXLIST_CORRUPTED */ + returnValue getNumberArray( int* const numberarray /**< Output: Array of numbers (NULL on error). */ + ) const; + + + /** Determines the index within the index list at with a given number is stored. + * \return >= 0: Index of given number. \n + -1: Number not found. */ + int getIndex( int givennumber /**< Number whose index shall be determined. */ + ) const; + + /** Determines the physical index within the index list at with a given number is stored. + * \return >= 0: Index of given number. \n + -1: Number not found. */ + int getPhysicalIndex( int givennumber /**< Number whose physical index shall be determined. */ + ) const; + + /** Returns the number stored at a given physical index. + * \return >= 0: Number stored at given physical index. \n + -RET_INDEXLIST_OUTOFBOUNDS */ + int getNumber( int physicalindex /**< Physical index of the number to be returned. */ + ) const; + + + /** Returns the current length of the index list. + * \return Current length of the index list. */ + inline int getLength( ); + + /** Returns last number within the index list. + * \return Last number within the index list. */ + inline int getLastNumber( ) const; + + + /** Adds number to index list. + * \return SUCCESSFUL_RETURN \n + RET_INDEXLIST_MUST_BE_REORDERD \n + RET_INDEXLIST_EXCEEDS_MAX_LENGTH */ + returnValue addNumber( int addnumber /**< Number to be added. */ + ); + + /** Removes number from index list. + * \return SUCCESSFUL_RETURN */ + returnValue removeNumber( int removenumber /**< Number to be removed. */ + ); + + /** Swaps two numbers within index list. + * \return SUCCESSFUL_RETURN */ + returnValue swapNumbers( int number1,/**< First number for swapping. */ + int number2 /**< Second number for swapping. */ + ); + + /** Determines if a given number is contained in the index set. + * \return BT_TRUE iff number is contain in the index set */ + inline BooleanType isMember( int _number /**< Number to be tested for membership. */ + ) const; + + + /* + * PROTECTED MEMBER VARIABLES + */ + protected: + int number[INDEXLISTFACTOR*(NVMAX+NCMAX)]; /**< Array to store numbers of constraints or bounds. */ + int next[INDEXLISTFACTOR*(NVMAX+NCMAX)]; /**< Array to store physical index of successor. */ + int previous[INDEXLISTFACTOR*(NVMAX+NCMAX)]; /**< Array to store physical index of predecossor. */ + int length; /**< Length of index list. */ + int first; /**< Physical index of first element. */ + int last; /**< Physical index of last element. */ + int lastusedindex; /**< Physical index of last entry in index list. */ + int physicallength; /**< Physical length of index list. */ +}; + + +#include + +#endif /* QPOASES_INDEXLIST_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/MessageHandling.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/MessageHandling.hpp new file mode 100644 index 0000000..f0b0c79 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/MessageHandling.hpp @@ -0,0 +1,415 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/MessageHandling.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of the MessageHandling class including global return values. + */ + + +#ifndef QPOASES_MESSAGEHANDLING_HPP +#define QPOASES_MESSAGEHANDLING_HPP + +// #define PC_DEBUG + +#ifdef PC_DEBUG + #include + + /** Defines an alias for FILE from stdio.h. */ + #define myFILE FILE + /** Defines an alias for stderr from stdio.h. */ + #define myStderr stderr + /** Defines an alias for stdout from stdio.h. */ + #define myStdout stdout +#else + /** Defines an alias for FILE from stdio.h. */ + #define myFILE int + /** Defines an alias for stderr from stdio.h. */ + #define myStderr 0 + /** Defines an alias for stdout from stdio.h. */ + #define myStdout 0 +#endif + + +#include +#include + + +/** Defines symbols for global return values. \n + * Important: All return values are assumed to be nonnegative! */ +enum returnValue +{ +TERMINAL_LIST_ELEMENT = -1, /**< Terminal list element, internal usage only! */ +/* miscellaneous */ +SUCCESSFUL_RETURN = 0, /**< Successful return. */ +RET_DIV_BY_ZERO, /**< Division by zero. */ +RET_INDEX_OUT_OF_BOUNDS, /**< Index out of bounds. */ +RET_INVALID_ARGUMENTS, /**< At least one of the arguments is invalid. */ +RET_ERROR_UNDEFINED, /**< Error number undefined. */ +RET_WARNING_UNDEFINED, /**< Warning number undefined. */ +RET_INFO_UNDEFINED, /**< Info number undefined. */ +RET_EWI_UNDEFINED, /**< Error/warning/info number undefined. */ +RET_AVAILABLE_WITH_LINUX_ONLY, /**< This function is available under Linux only. */ +RET_UNKNOWN_BUG, /**< The error occured is not yet known. */ +RET_PRINTLEVEL_CHANGED, /**< 10 Print level changed. */ +RET_NOT_YET_IMPLEMENTED, /**< Requested function is not yet implemented in this version of qpOASES. */ +/* Indexlist */ +RET_INDEXLIST_MUST_BE_REORDERD, /**< Index list has to be reordered. */ +RET_INDEXLIST_EXCEEDS_MAX_LENGTH, /**< Index list exceeds its maximal physical length. */ +RET_INDEXLIST_CORRUPTED, /**< Index list corrupted. */ +RET_INDEXLIST_OUTOFBOUNDS, /**< Physical index is out of bounds. */ +RET_INDEXLIST_ADD_FAILED, /**< Adding indices from another index set failed. */ +RET_INDEXLIST_INTERSECT_FAILED, /**< Intersection with another index set failed. */ +/* SubjectTo / Bounds / Constraints */ +RET_INDEX_ALREADY_OF_DESIRED_STATUS, /**< Index is already of desired status. */ +RET_ADDINDEX_FAILED, /**< Cannot swap between different indexsets. */ +RET_SWAPINDEX_FAILED, /**< 20 Adding index to index set failed. */ +RET_NOTHING_TO_DO, /**< Nothing to do. */ +RET_SETUP_BOUND_FAILED, /**< Setting up bound index failed. */ +RET_SETUP_CONSTRAINT_FAILED, /**< Setting up constraint index failed. */ +RET_MOVING_BOUND_FAILED, /**< Moving bound between index sets failed. */ +RET_MOVING_CONSTRAINT_FAILED, /**< Moving constraint between index sets failed. */ +/* QProblem */ +RET_QP_ALREADY_INITIALISED, /**< QProblem has already been initialised. */ +RET_NO_INIT_WITH_STANDARD_SOLVER, /**< Initialisation via extern QP solver is not yet implemented. */ +RET_RESET_FAILED, /**< Reset failed. */ +RET_INIT_FAILED, /**< Initialisation failed. */ +RET_INIT_FAILED_TQ, /**< 30 Initialisation failed due to TQ factorisation. */ +RET_INIT_FAILED_CHOLESKY, /**< Initialisation failed due to Cholesky decomposition. */ +RET_INIT_FAILED_HOTSTART, /**< Initialisation failed! QP could not be solved! */ +RET_INIT_FAILED_INFEASIBILITY, /**< Initial QP could not be solved due to infeasibility! */ +RET_INIT_FAILED_UNBOUNDEDNESS, /**< Initial QP could not be solved due to unboundedness! */ +RET_INIT_SUCCESSFUL, /**< Initialisation done. */ +RET_OBTAINING_WORKINGSET_FAILED, /**< Failed to obtain working set for auxiliary QP. */ +RET_SETUP_WORKINGSET_FAILED, /**< Failed to setup working set for auxiliary QP. */ +RET_SETUP_AUXILIARYQP_FAILED, /**< Failed to setup auxiliary QP for initialised homotopy. */ +RET_NO_EXTERN_SOLVER, /**< No extern QP solver available. */ +RET_QP_UNBOUNDED, /**< 40 QP is unbounded. */ +RET_QP_INFEASIBLE, /**< QP is infeasible. */ +RET_QP_NOT_SOLVED, /**< Problems occured while solving QP with standard solver. */ +RET_QP_SOLVED, /**< QP successfully solved. */ +RET_UNABLE_TO_SOLVE_QP, /**< Problems occured while solving QP. */ +RET_INITIALISATION_STARTED, /**< Starting problem initialisation. */ +RET_HOTSTART_FAILED, /**< Unable to perform homotopy due to internal error. */ +RET_HOTSTART_FAILED_TO_INIT, /**< Unable to initialise problem. */ +RET_HOTSTART_FAILED_AS_QP_NOT_INITIALISED, /**< Unable to perform homotopy as previous QP is not solved. */ +RET_ITERATION_STARTED, /**< Iteration... */ +RET_SHIFT_DETERMINATION_FAILED, /**< 50 Determination of shift of the QP data failed. */ +RET_STEPDIRECTION_DETERMINATION_FAILED, /**< Determination of step direction failed. */ +RET_STEPLENGTH_DETERMINATION_FAILED, /**< Determination of step direction failed. */ +RET_OPTIMAL_SOLUTION_FOUND, /**< Optimal solution of neighbouring QP found. */ +RET_HOMOTOPY_STEP_FAILED, /**< Unable to perform homotopy step. */ +RET_HOTSTART_STOPPED_INFEASIBILITY, /**< Premature homotopy termination because QP is infeasible. */ +RET_HOTSTART_STOPPED_UNBOUNDEDNESS, /**< Premature homotopy termination because QP is unbounded. */ +RET_WORKINGSET_UPDATE_FAILED, /**< Unable to update working sets according to initial guesses. */ +RET_MAX_NWSR_REACHED, /**< Maximum number of working set recalculations performed. */ +RET_CONSTRAINTS_NOT_SPECIFIED, /**< Problem does comprise constraints! You also have to specify new constraints' bounds. */ +RET_INVALID_FACTORISATION_FLAG, /**< 60 Invalid factorisation flag. */ +RET_UNABLE_TO_SAVE_QPDATA, /**< Unable to save QP data. */ +RET_STEPDIRECTION_FAILED_TQ, /**< Abnormal termination due to TQ factorisation. */ +RET_STEPDIRECTION_FAILED_CHOLESKY, /**< Abnormal termination due to Cholesky factorisation. */ +RET_CYCLING_DETECTED, /**< Cycling detected. */ +RET_CYCLING_NOT_RESOLVED, /**< Cycling cannot be resolved, QP probably infeasible. */ +RET_CYCLING_RESOLVED, /**< Cycling probably resolved. */ +RET_STEPSIZE, /**< For displaying performed stepsize. */ +RET_STEPSIZE_NONPOSITIVE, /**< For displaying non-positive stepsize. */ +RET_SETUPSUBJECTTOTYPE_FAILED, /**< Setup of SubjectToTypes failed. */ +RET_ADDCONSTRAINT_FAILED, /**< 70 Addition of constraint to working set failed. */ +RET_ADDCONSTRAINT_FAILED_INFEASIBILITY, /**< Addition of constraint to working set failed (due to QP infeasibility). */ +RET_ADDBOUND_FAILED, /**< Addition of bound to working set failed. */ +RET_ADDBOUND_FAILED_INFEASIBILITY, /**< Addition of bound to working set failed (due to QP infeasibility). */ +RET_REMOVECONSTRAINT_FAILED, /**< Removal of constraint from working set failed. */ +RET_REMOVEBOUND_FAILED, /**< Removal of bound from working set failed. */ +RET_REMOVE_FROM_ACTIVESET, /**< Removing from active set... */ +RET_ADD_TO_ACTIVESET, /**< Adding to active set... */ +RET_REMOVE_FROM_ACTIVESET_FAILED, /**< Removing from active set failed. */ +RET_ADD_TO_ACTIVESET_FAILED, /**< Adding to active set failed. */ +RET_CONSTRAINT_ALREADY_ACTIVE, /**< 80 Constraint is already active. */ +RET_ALL_CONSTRAINTS_ACTIVE, /**< All constraints are active, no further constraint can be added. */ +RET_LINEARLY_DEPENDENT, /**< New bound/constraint is linearly dependent. */ +RET_LINEARLY_INDEPENDENT, /**< New bound/constraint is linearly independent. */ +RET_LI_RESOLVED, /**< Linear independence of active contraint matrix successfully resolved. */ +RET_ENSURELI_FAILED, /**< Failed to ensure linear indepence of active contraint matrix. */ +RET_ENSURELI_FAILED_TQ, /**< Abnormal termination due to TQ factorisation. */ +RET_ENSURELI_FAILED_NOINDEX, /**< No index found, QP probably infeasible. */ +RET_ENSURELI_FAILED_CYCLING, /**< Cycling detected, QP probably infeasible. */ +RET_BOUND_ALREADY_ACTIVE, /**< Bound is already active. */ +RET_ALL_BOUNDS_ACTIVE, /**< 90 All bounds are active, no further bound can be added. */ +RET_CONSTRAINT_NOT_ACTIVE, /**< Constraint is not active. */ +RET_BOUND_NOT_ACTIVE, /**< Bound is not active. */ +RET_HESSIAN_NOT_SPD, /**< Projected Hessian matrix not positive definite. */ +RET_MATRIX_SHIFT_FAILED, /**< Unable to update matrices or to transform vectors. */ +RET_MATRIX_FACTORISATION_FAILED, /**< Unable to calculate new matrix factorisations. */ +RET_PRINT_ITERATION_FAILED, /**< Unable to print information on current iteration. */ +RET_NO_GLOBAL_MESSAGE_OUTPUTFILE, /**< No global message output file initialised. */ +/* Utils */ +RET_UNABLE_TO_OPEN_FILE, /**< Unable to open file. */ +RET_UNABLE_TO_WRITE_FILE, /**< Unable to write into file. */ +RET_UNABLE_TO_READ_FILE, /**< 100 Unable to read from file. */ +RET_FILEDATA_INCONSISTENT, /**< File contains inconsistent data. */ +/* SolutionAnalysis */ +RET_NO_SOLUTION, /**< QP solution does not satisfy KKT optimality conditions. */ +RET_INACCURATE_SOLUTION /**< KKT optimality conditions not satisfied to sufficient accuracy. */ +}; + + + +/** This class handles all kinds of messages (errors, warnings, infos) initiated + * by qpOASES modules and stores the correspoding global preferences. + * + * \author Hans Joachim Ferreau (special thanks to Leonard Wirsching) + * \version 1.3embedded + * \date 2007-2008 + */ +class MessageHandling +{ + /* + * INTERNAL DATA STRUCTURES + */ + public: + /** Data structure for entries in global message list. */ + typedef struct { + returnValue key; /**< Global return value. */ + const char* data; /**< Corresponding message. */ + VisibilityStatus globalVisibilityStatus; /**< Determines if message can be printed. + * If this value is set to VS_HIDDEN, no message is printed! */ + } ReturnValueList; + + + /* + * PUBLIC MEMBER FUNCTIONS + */ + public: + /** Default constructor. */ + MessageHandling( ); + + /** Constructor which takes the desired output file. */ + MessageHandling( myFILE* _outputFile /**< Output file. */ + ); + + /** Constructor which takes the desired visibility states. */ + MessageHandling( VisibilityStatus _errorVisibility, /**< Visibility status for error messages. */ + VisibilityStatus _warningVisibility,/**< Visibility status for warning messages. */ + VisibilityStatus _infoVisibility /**< Visibility status for info messages. */ + ); + + /** Constructor which takes the desired output file and desired visibility states. */ + MessageHandling( myFILE* _outputFile, /**< Output file. */ + VisibilityStatus _errorVisibility, /**< Visibility status for error messages. */ + VisibilityStatus _warningVisibility,/**< Visibility status for warning messages. */ + VisibilityStatus _infoVisibility /**< Visibility status for info messages. */ + ); + + /** Copy constructor (deep copy). */ + MessageHandling( const MessageHandling& rhs /**< Rhs object. */ + ); + + /** Destructor. */ + ~MessageHandling( ); + + /** Assignment operator (deep copy). */ + MessageHandling& operator=( const MessageHandling& rhs /**< Rhs object. */ + ); + + + /** Prints an error message(a simplified macro THROWERROR is also provided). \n + * Errors are definied as abnormal events which cause an immediate termination of the current (sub) function. + * Errors of a sub function should be commented by the calling function by means of a warning message + * (if this error does not cause an error of the calling function, either)! + * \return Error number returned by sub function call + */ + returnValue throwError( + returnValue Enumber, /**< Error number returned by sub function call. */ + const char* additionaltext, /**< Additional error text (0, if none). */ + const char* functionname, /**< Name of function which caused the error. */ + const char* filename, /**< Name of file which caused the error. */ + const unsigned long linenumber, /**< Number of line which caused the error.incompatible binary file */ + VisibilityStatus localVisibilityStatus /**< Determines (locally) if error message can be printed to myStderr. + * If GLOBAL visibility status of the message is set to VS_HIDDEN, + * no message is printed, anyway! */ + ); + + /** Prints a warning message (a simplified macro THROWWARNING is also provided). + * Warnings are definied as abnormal events which does NOT cause an immediate termination of the current (sub) function. + * \return Warning number returned by sub function call + */ + returnValue throwWarning( + returnValue Wnumber, /**< Warning number returned by sub function call. */ + const char* additionaltext, /**< Additional warning text (0, if none). */ + const char* functionname, /**< Name of function which caused the warning. */ + const char* filename, /**< Name of file which caused the warning. */ + const unsigned long linenumber, /**< Number of line which caused the warning. */ + VisibilityStatus localVisibilityStatus /**< Determines (locally) if warning message can be printed to myStderr. + * If GLOBAL visibility status of the message is set to VS_HIDDEN, + * no message is printed, anyway! */ + ); + + /** Prints a info message (a simplified macro THROWINFO is also provided). + * \return Info number returned by sub function call + */ + returnValue throwInfo( + returnValue Inumber, /**< Info number returned by sub function call. */ + const char* additionaltext, /**< Additional warning text (0, if none). */ + const char* functionname, /**< Name of function which submitted the info. */ + const char* filename, /**< Name of file which submitted the info. */ + const unsigned long linenumber, /**< Number of line which submitted the info. */ + VisibilityStatus localVisibilityStatus /**< Determines (locally) if info message can be printed to myStderr. + * If GLOBAL visibility status of the message is set to VS_HIDDEN, + * no message is printed, anyway! */ + ); + + + /** Resets all preferences to default values. + * \return SUCCESSFUL_RETURN */ + returnValue reset( ); + + + /** Prints a complete list of all messages to output file. + * \return SUCCESSFUL_RETURN */ + returnValue listAllMessages( ); + + + /** Returns visibility status for error messages. + * \return Visibility status for error messages. */ + inline VisibilityStatus getErrorVisibilityStatus( ) const; + + /** Returns visibility status for warning messages. + * \return Visibility status for warning messages. */ + inline VisibilityStatus getWarningVisibilityStatus( ) const; + + /** Returns visibility status for info messages. + * \return Visibility status for info messages. */ + inline VisibilityStatus getInfoVisibilityStatus( ) const; + + /** Returns pointer to output file. + * \return Pointer to output file. */ + inline myFILE* getOutputFile( ) const; + + /** Returns error count value. + * \return Error count value. */ + inline int getErrorCount( ) const; + + + /** Changes visibility status for error messages. */ + inline void setErrorVisibilityStatus( VisibilityStatus _errorVisibility /**< New visibility status for error messages. */ + ); + + /** Changes visibility status for warning messages. */ + inline void setWarningVisibilityStatus( VisibilityStatus _warningVisibility /**< New visibility status for warning messages. */ + ); + + /** Changes visibility status for info messages. */ + inline void setInfoVisibilityStatus( VisibilityStatus _infoVisibility /**< New visibility status for info messages. */ + ); + + /** Changes output file for messages. */ + inline void setOutputFile( myFILE* _outputFile /**< New output file for messages. */ + ); + + /** Changes error count. + * \return SUCCESSFUL_RETURN \n + * RET_INVALID_ARGUMENT */ + inline returnValue setErrorCount( int _errorCount /**< New error count value. */ + ); + + /** Return the error code string. */ + static const char* getErrorString(int error); + + /* + * PROTECTED MEMBER FUNCTIONS + */ + protected: + /** Prints a info message to myStderr (auxiliary function). + * \return Error/warning/info number returned by sub function call + */ + returnValue throwMessage( + returnValue RETnumber, /**< Error/warning/info number returned by sub function call. */ + const char* additionaltext, /**< Additional warning text (0, if none). */ + const char* functionname, /**< Name of function which caused the error/warning/info. */ + const char* filename, /**< Name of file which caused the error/warning/info. */ + const unsigned long linenumber, /**< Number of line which caused the error/warning/info. */ + VisibilityStatus localVisibilityStatus, /**< Determines (locally) if info message can be printed to myStderr. + * If GLOBAL visibility status of the message is set to VS_HIDDEN, + * no message is printed, anyway! */ + const char* RETstring /**< Leading string of error/warning/info message. */ + ); + + + /* + * PROTECTED MEMBER VARIABLES + */ + protected: + VisibilityStatus errorVisibility; /**< Error messages visible? */ + VisibilityStatus warningVisibility; /**< Warning messages visible? */ + VisibilityStatus infoVisibility; /**< Info messages visible? */ + + myFILE* outputFile; /**< Output file for messages. */ + + int errorCount; /**< Counts number of errors (for nicer output only). */ +}; + + +#ifndef __FUNCTION__ + /** Ensures that __FUNCTION__ macro is defined. */ + #define __FUNCTION__ 0 +#endif + +#ifndef __FILE__ + /** Ensures that __FILE__ macro is defined. */ + #define __FILE__ 0 +#endif + +#ifndef __LINE__ + /** Ensures that __LINE__ macro is defined. */ + #define __LINE__ 0 +#endif + + +/** Short version of throwError with default values, only returnValue is needed */ +#define THROWERROR(retval) ( getGlobalMessageHandler( )->throwError((retval),0,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE) ) + +/** Short version of throwWarning with default values, only returnValue is needed */ +#define THROWWARNING(retval) ( getGlobalMessageHandler( )->throwWarning((retval),0,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE) ) + +/** Short version of throwInfo with default values, only returnValue is needed */ +#define THROWINFO(retval) ( getGlobalMessageHandler( )->throwInfo((retval),0,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE) ) + + +/** Returns a pointer to global message handler. + * \return Pointer to global message handler. + */ +MessageHandling* getGlobalMessageHandler( ); + + +#include + +#endif /* QPOASES_MESSAGEHANDLING_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/QProblem.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/QProblem.hpp new file mode 100644 index 0000000..68fc1af --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/QProblem.hpp @@ -0,0 +1,666 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/QProblem.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of the QProblem class which is able to use the newly + * developed online active set strategy for parametric quadratic programming. + */ + + + +#ifndef QPOASES_QPROBLEM_HPP +#define QPOASES_QPROBLEM_HPP + + +#include +#include +#include + + +/** A class for setting up and solving quadratic programs. The main feature is + * the possibily to use the newly developed online active set strategy for + * parametric quadratic programming. + * + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + */ +class QProblem : public QProblemB +{ + /* allow SolutionAnalysis class to access private members */ + friend class SolutionAnalysis; + + /* + * PUBLIC MEMBER FUNCTIONS + */ + public: + /** Default constructor. */ + QProblem( ); + + /** Constructor which takes the QP dimensions only. */ + QProblem( int _nV, /**< Number of variables. */ + int _nC /**< Number of constraints. */ + ); + + /** Copy constructor (deep copy). */ + QProblem( const QProblem& rhs /**< Rhs object. */ + ); + + /** Destructor. */ + ~QProblem( ); + + /** Assignment operator (deep copy). */ + QProblem& operator=( const QProblem& rhs /**< Rhs object. */ + ); + + + /** Clears all data structures of QProblemB except for QP data. + * \return SUCCESSFUL_RETURN \n + RET_RESET_FAILED */ + returnValue reset( ); + + + /** Initialises a QProblem with given QP data and solves it + * using an initial homotopy with empty working set (at most nWSR iterations). + * \return SUCCESSFUL_RETURN \n + RET_INIT_FAILED \n + RET_INIT_FAILED_CHOLESKY \n + RET_INIT_FAILED_TQ \n + RET_INIT_FAILED_HOTSTART \n + RET_INIT_FAILED_INFEASIBILITY \n + RET_INIT_FAILED_UNBOUNDEDNESS \n + RET_MAX_NWSR_REACHED \n + RET_INVALID_ARGUMENTS \n + RET_INACCURATE_SOLUTION \n + RET_NO_SOLUTION */ + returnValue init( const real_t* const _H, /**< Hessian matrix. */ + const real_t* const _g, /**< Gradient vector. */ + const real_t* const _A, /**< Constraint matrix. */ + const real_t* const _lb, /**< Lower bound vector (on variables). \n + If no lower bounds exist, a NULL pointer can be passed. */ + const real_t* const _ub, /**< Upper bound vector (on variables). \n + If no upper bounds exist, a NULL pointer can be passed. */ + const real_t* const _lbA, /**< Lower constraints' bound vector. \n + If no lower constraints' bounds exist, a NULL pointer can be passed. */ + const real_t* const _ubA, /**< Upper constraints' bound vector. \n + If no lower constraints' bounds exist, a NULL pointer can be passed. */ + int& nWSR, /**< Input: Maximum number of working set recalculations when using initial homotopy. + Output: Number of performed working set recalculations. */ + const real_t* const yOpt = 0, /**< Initial guess for dual solution vector. */ + real_t* const cputime = 0 /**< Output: CPU time required to initialise QP. */ + ); + + + /** Initialises a QProblem with given QP data and solves it + * using an initial homotopy with empty working set (at most nWSR iterations). + * \return SUCCESSFUL_RETURN \n + RET_INIT_FAILED \n + RET_INIT_FAILED_CHOLESKY \n + RET_INIT_FAILED_TQ \n + RET_INIT_FAILED_HOTSTART \n + RET_INIT_FAILED_INFEASIBILITY \n + RET_INIT_FAILED_UNBOUNDEDNESS \n + RET_MAX_NWSR_REACHED \n + RET_INVALID_ARGUMENTS \n + RET_INACCURATE_SOLUTION \n + RET_NO_SOLUTION */ + returnValue init( const real_t* const _H, /**< Hessian matrix. */ + const real_t* const _R, /**< Cholesky factorization of the Hessian matrix. */ + const real_t* const _g, /**< Gradient vector. */ + const real_t* const _A, /**< Constraint matrix. */ + const real_t* const _lb, /**< Lower bound vector (on variables). \n + If no lower bounds exist, a NULL pointer can be passed. */ + const real_t* const _ub, /**< Upper bound vector (on variables). \n + If no upper bounds exist, a NULL pointer can be passed. */ + const real_t* const _lbA, /**< Lower constraints' bound vector. \n + If no lower constraints' bounds exist, a NULL pointer can be passed. */ + const real_t* const _ubA, /**< Upper constraints' bound vector. \n + If no lower constraints' bounds exist, a NULL pointer can be passed. */ + int& nWSR, /**< Input: Maximum number of working set recalculations when using initial homotopy. + Output: Number of performed working set recalculations. */ + const real_t* const yOpt = 0, /**< Initial guess for dual solution vector. */ + real_t* const cputime = 0 /**< Output: CPU time required to initialise QP. */ + ); + + + /** Solves QProblem using online active set strategy. + * \return SUCCESSFUL_RETURN \n + RET_MAX_NWSR_REACHED \n + RET_HOTSTART_FAILED_AS_QP_NOT_INITIALISED \n + RET_HOTSTART_FAILED \n + RET_SHIFT_DETERMINATION_FAILED \n + RET_STEPDIRECTION_DETERMINATION_FAILED \n + RET_STEPLENGTH_DETERMINATION_FAILED \n + RET_HOMOTOPY_STEP_FAILED \n + RET_HOTSTART_STOPPED_INFEASIBILITY \n + RET_HOTSTART_STOPPED_UNBOUNDEDNESS \n + RET_INACCURATE_SOLUTION \n + RET_NO_SOLUTION */ + returnValue hotstart( const real_t* const g_new, /**< Gradient of neighbouring QP to be solved. */ + const real_t* const lb_new, /**< Lower bounds of neighbouring QP to be solved. \n + If no lower bounds exist, a NULL pointer can be passed. */ + const real_t* const ub_new, /**< Upper bounds of neighbouring QP to be solved. \n + If no upper bounds exist, a NULL pointer can be passed. */ + const real_t* const lbA_new, /**< Lower constraints' bounds of neighbouring QP to be solved. \n + If no lower constraints' bounds exist, a NULL pointer can be passed. */ + const real_t* const ubA_new, /**< Upper constraints' bounds of neighbouring QP to be solved. \n + If no upper constraints' bounds exist, a NULL pointer can be passed. */ + int& nWSR, /**< Input: Maximum number of working set recalculations; \n + Output: Number of performed working set recalculations. */ + real_t* const cputime /**< Output: CPU time required to solve QP (or to perform nWSR iterations). */ + ); + + + /** Returns constraint matrix of the QP (deep copy). + * \return SUCCESSFUL_RETURN */ + inline returnValue getA( real_t* const _A /**< Array of appropriate dimension for copying constraint matrix.*/ + ) const; + + /** Returns a single row of constraint matrix of the QP (deep copy). + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue getA( int number, /**< Number of entry to be returned. */ + real_t* const row /**< Array of appropriate dimension for copying (number)th constraint. */ + ) const; + + /** Returns lower constraints' bound vector of the QP (deep copy). + * \return SUCCESSFUL_RETURN */ + inline returnValue getLBA( real_t* const _lbA /**< Array of appropriate dimension for copying lower constraints' bound vector.*/ + ) const; + + /** Returns single entry of lower constraints' bound vector of the QP. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue getLBA( int number, /**< Number of entry to be returned. */ + real_t& value /**< Output: lbA[number].*/ + ) const; + + /** Returns upper constraints' bound vector of the QP (deep copy). + * \return SUCCESSFUL_RETURN */ + inline returnValue getUBA( real_t* const _ubA /**< Array of appropriate dimension for copying upper constraints' bound vector.*/ + ) const; + + /** Returns single entry of upper constraints' bound vector of the QP. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue getUBA( int number, /**< Number of entry to be returned. */ + real_t& value /**< Output: ubA[number].*/ + ) const; + + + /** Returns current constraints object of the QP (deep copy). + * \return SUCCESSFUL_RETURN */ + inline returnValue getConstraints( Constraints* const _constraints /** Output: Constraints object. */ + ) const; + + + /** Returns the number of constraints. + * \return Number of constraints. */ + inline int getNC( ) const; + + /** Returns the number of (implicitly defined) equality constraints. + * \return Number of (implicitly defined) equality constraints. */ + inline int getNEC( ) const; + + /** Returns the number of active constraints. + * \return Number of active constraints. */ + inline int getNAC( ); + + /** Returns the number of inactive constraints. + * \return Number of inactive constraints. */ + inline int getNIAC( ); + + /** Returns the dimension of null space. + * \return Dimension of null space. */ + int getNZ( ); + + + /** Returns the dual solution vector (deep copy). + * \return SUCCESSFUL_RETURN \n + RET_QP_NOT_SOLVED */ + returnValue getDualSolution( real_t* const yOpt /**< Output: Dual solution vector (if QP has been solved). */ + ) const; + + + /* + * PROTECTED MEMBER FUNCTIONS + */ + protected: + /** Determines type of constraints and bounds (i.e. implicitly fixed, unbounded etc.). + * \return SUCCESSFUL_RETURN \n + RET_SETUPSUBJECTTOTYPE_FAILED */ + returnValue setupSubjectToType( ); + + /** Computes the Cholesky decomposition R of the projected Hessian (i.e. R^T*R = Z^T*H*Z). + * \return SUCCESSFUL_RETURN \n + * RET_INDEXLIST_CORRUPTED */ + returnValue setupCholeskyDecompositionProjected( ); + + /** Initialises TQ factorisation of A (i.e. A*Q = [0 T]) if NO constraint is active. + * \return SUCCESSFUL_RETURN \n + RET_INDEXLIST_CORRUPTED */ + returnValue setupTQfactorisation( ); + + + /** Solves a QProblem whose QP data is assumed to be stored in the member variables. + * A guess for its primal/dual optimal solution vectors and the corresponding + * working sets of bounds and constraints can be provided. + * \return SUCCESSFUL_RETURN \n + RET_INIT_FAILED \n + RET_INIT_FAILED_CHOLESKY \n + RET_INIT_FAILED_TQ \n + RET_INIT_FAILED_HOTSTART \n + RET_INIT_FAILED_INFEASIBILITY \n + RET_INIT_FAILED_UNBOUNDEDNESS \n + RET_MAX_NWSR_REACHED */ + returnValue solveInitialQP( const real_t* const xOpt, /**< Optimal primal solution vector. + * A NULL pointer can be passed. */ + const real_t* const yOpt, /**< Optimal dual solution vector. + * A NULL pointer can be passed. */ + const Bounds* const guessedBounds, /**< Guessed working set of bounds for solution (xOpt,yOpt). + * A NULL pointer can be passed. */ + const Constraints* const guessedConstraints, /**< Optimal working set of constraints for solution (xOpt,yOpt). + * A NULL pointer can be passed. */ + int& nWSR, /**< Input: Maximum number of working set recalculations; \n + * Output: Number of performed working set recalculations. */ + real_t* const cputime /**< Output: CPU time required to solve QP (or to perform nWSR iterations). */ + ); + + /** Obtains the desired working set for the auxiliary initial QP in + * accordance with the user specifications + * (assumes that member AX has already been initialised!) + * \return SUCCESSFUL_RETURN \n + RET_OBTAINING_WORKINGSET_FAILED \n + RET_INVALID_ARGUMENTS */ + returnValue obtainAuxiliaryWorkingSet( const real_t* const xOpt, /**< Optimal primal solution vector. + * If a NULL pointer is passed, all entries are assumed to be zero. */ + const real_t* const yOpt, /**< Optimal dual solution vector. + * If a NULL pointer is passed, all entries are assumed to be zero. */ + const Bounds* const guessedBounds, /**< Guessed working set of bounds for solution (xOpt,yOpt). */ + const Constraints* const guessedConstraints, /**< Guessed working set for solution (xOpt,yOpt). */ + Bounds* auxiliaryBounds, /**< Input: Allocated bound object. \n + * Ouput: Working set of constraints for auxiliary QP. */ + Constraints* auxiliaryConstraints /**< Input: Allocated bound object. \n + * Ouput: Working set for auxiliary QP. */ + ) const; + + /** Setups bound and constraints data structures according to auxiliaryBounds/Constraints. + * (If the working set shall be setup afresh, make sure that + * bounds and constraints data structure have been resetted + * and the TQ factorisation has been initialised!) + * \return SUCCESSFUL_RETURN \n + RET_SETUP_WORKINGSET_FAILED \n + RET_INVALID_ARGUMENTS \n + RET_UNKNOWN BUG */ + returnValue setupAuxiliaryWorkingSet( const Bounds* const auxiliaryBounds, /**< Working set of bounds for auxiliary QP. */ + const Constraints* const auxiliaryConstraints, /**< Working set of constraints for auxiliary QP. */ + BooleanType setupAfresh /**< Flag indicating if given working set shall be + * setup afresh or by updating the current one. */ + ); + + /** Setups the optimal primal/dual solution of the auxiliary initial QP. + * \return SUCCESSFUL_RETURN */ + returnValue setupAuxiliaryQPsolution( const real_t* const xOpt, /**< Optimal primal solution vector. + * If a NULL pointer is passed, all entries are set to zero. */ + const real_t* const yOpt /**< Optimal dual solution vector. + * If a NULL pointer is passed, all entries are set to zero. */ + ); + + /** Setups gradient of the auxiliary initial QP for given + * optimal primal/dual solution and given initial working set + * (assumes that members X, Y and BOUNDS, CONSTRAINTS have already been initialised!). + * \return SUCCESSFUL_RETURN */ + returnValue setupAuxiliaryQPgradient( ); + + /** Setups (constraints') bounds of the auxiliary initial QP for given + * optimal primal/dual solution and given initial working set + * (assumes that members X, Y and BOUNDS, CONSTRAINTS have already been initialised!). + * \return SUCCESSFUL_RETURN \n + RET_UNKNOWN BUG */ + returnValue setupAuxiliaryQPbounds( const Bounds* const auxiliaryBounds, /**< Working set of bounds for auxiliary QP. */ + const Constraints* const auxiliaryConstraints, /**< Working set of constraints for auxiliary QP. */ + BooleanType useRelaxation /**< Flag indicating if inactive (constraints') bounds shall be relaxed. */ + ); + + + /** Adds a constraint to active set. + * \return SUCCESSFUL_RETURN \n + RET_ADDCONSTRAINT_FAILED \n + RET_ADDCONSTRAINT_FAILED_INFEASIBILITY \n + RET_ENSURELI_FAILED */ + returnValue addConstraint( int number, /**< Number of constraint to be added to active set. */ + SubjectToStatus C_status, /**< Status of new active constraint. */ + BooleanType updateCholesky /**< Flag indicating if Cholesky decomposition shall be updated. */ + ); + + /** Checks if new active constraint to be added is linearly dependent from + * from row of the active constraints matrix. + * \return RET_LINEARLY_DEPENDENT \n + RET_LINEARLY_INDEPENDENT \n + RET_INDEXLIST_CORRUPTED */ + returnValue addConstraint_checkLI( int number /**< Number of constraint to be added to active set. */ + ); + + /** Ensures linear independence of constraint matrix when a new constraint is added. + * To this end a bound or constraint is removed simultaneously if necessary. + * \return SUCCESSFUL_RETURN \n + RET_LI_RESOLVED \n + RET_ENSURELI_FAILED \n + RET_ENSURELI_FAILED_TQ \n + RET_ENSURELI_FAILED_NOINDEX \n + RET_REMOVE_FROM_ACTIVESET */ + returnValue addConstraint_ensureLI( int number, /**< Number of constraint to be added to active set. */ + SubjectToStatus C_status /**< Status of new active bound. */ + ); + + /** Adds a bound to active set. + * \return SUCCESSFUL_RETURN \n + RET_ADDBOUND_FAILED \n + RET_ADDBOUND_FAILED_INFEASIBILITY \n + RET_ENSURELI_FAILED */ + returnValue addBound( int number, /**< Number of bound to be added to active set. */ + SubjectToStatus B_status, /**< Status of new active bound. */ + BooleanType updateCholesky /**< Flag indicating if Cholesky decomposition shall be updated. */ + ); + + /** Checks if new active bound to be added is linearly dependent from + * from row of the active constraints matrix. + * \return RET_LINEARLY_DEPENDENT \n + RET_LINEARLY_INDEPENDENT */ + returnValue addBound_checkLI( int number /**< Number of bound to be added to active set. */ + ); + + /** Ensures linear independence of constraint matrix when a new bound is added. + * To this end a bound or constraint is removed simultaneously if necessary. + * \return SUCCESSFUL_RETURN \n + RET_LI_RESOLVED \n + RET_ENSURELI_FAILED \n + RET_ENSURELI_FAILED_TQ \n + RET_ENSURELI_FAILED_NOINDEX \n + RET_REMOVE_FROM_ACTIVESET */ + returnValue addBound_ensureLI( int number, /**< Number of bound to be added to active set. */ + SubjectToStatus B_status /**< Status of new active bound. */ + ); + + /** Removes a constraint from active set. + * \return SUCCESSFUL_RETURN \n + RET_CONSTRAINT_NOT_ACTIVE \n + RET_REMOVECONSTRAINT_FAILED \n + RET_HESSIAN_NOT_SPD */ + returnValue removeConstraint( int number, /**< Number of constraint to be removed from active set. */ + BooleanType updateCholesky /**< Flag indicating if Cholesky decomposition shall be updated. */ + ); + + /** Removes a bounds from active set. + * \return SUCCESSFUL_RETURN \n + RET_BOUND_NOT_ACTIVE \n + RET_HESSIAN_NOT_SPD \n + RET_REMOVEBOUND_FAILED */ + returnValue removeBound( int number, /**< Number of bound to be removed from active set. */ + BooleanType updateCholesky /**< Flag indicating if Cholesky decomposition shall be updated. */ + ); + + + /** Solves the system Ra = b or R^Ta = b where R is an upper triangular matrix. + * \return SUCCESSFUL_RETURN \n + RET_DIV_BY_ZERO */ + returnValue backsolveR( const real_t* const b, /**< Right hand side vector. */ + BooleanType transposed, /**< Indicates if the transposed system shall be solved. */ + real_t* const a /**< Output: Solution vector */ + ); + + /** Solves the system Ra = b or R^Ta = b where R is an upper triangular matrix. \n + * Special variant for the case that this function is called from within "removeBound()". + * \return SUCCESSFUL_RETURN \n + RET_DIV_BY_ZERO */ + returnValue backsolveR( const real_t* const b, /**< Right hand side vector. */ + BooleanType transposed, /**< Indicates if the transposed system shall be solved. */ + BooleanType removingBound, /**< Indicates if function is called from "removeBound()". */ + real_t* const a /**< Output: Solution vector */ + ); + + + /** Solves the system Ta = b or T^Ta = b where T is a reverse upper triangular matrix. + * \return SUCCESSFUL_RETURN \n + RET_DIV_BY_ZERO */ + returnValue backsolveT( const real_t* const b, /**< Right hand side vector. */ + BooleanType transposed, /**< Indicates if the transposed system shall be solved. */ + real_t* const a /**< Output: Solution vector */ + ); + + + /** Determines step direction of the shift of the QP data. + * \return SUCCESSFUL_RETURN */ + returnValue hotstart_determineDataShift(const int* const FX_idx, /**< Index array of fixed variables. */ + const int* const AC_idx, /**< Index array of active constraints. */ + const real_t* const g_new, /**< New gradient vector. */ + const real_t* const lbA_new,/**< New lower constraints' bounds. */ + const real_t* const ubA_new,/**< New upper constraints' bounds. */ + const real_t* const lb_new, /**< New lower bounds. */ + const real_t* const ub_new, /**< New upper bounds. */ + real_t* const delta_g, /**< Output: Step direction of gradient vector. */ + real_t* const delta_lbA, /**< Output: Step direction of lower constraints' bounds. */ + real_t* const delta_ubA, /**< Output: Step direction of upper constraints' bounds. */ + real_t* const delta_lb, /**< Output: Step direction of lower bounds. */ + real_t* const delta_ub, /**< Output: Step direction of upper bounds. */ + BooleanType& Delta_bC_isZero,/**< Output: Indicates if active constraints' bounds are to be shifted. */ + BooleanType& Delta_bB_isZero/**< Output: Indicates if active bounds are to be shifted. */ + ); + + /** Determines step direction of the homotopy path. + * \return SUCCESSFUL_RETURN \n + RET_STEPDIRECTION_FAILED_TQ \n + RET_STEPDIRECTION_FAILED_CHOLESKY */ + returnValue hotstart_determineStepDirection(const int* const FR_idx, /**< Index array of free variables. */ + const int* const FX_idx, /**< Index array of fixed variables. */ + const int* const AC_idx, /**< Index array of active constraints. */ + const real_t* const delta_g, /**< Step direction of gradient vector. */ + const real_t* const delta_lbA, /**< Step direction of lower constraints' bounds. */ + const real_t* const delta_ubA, /**< Step direction of upper constraints' bounds. */ + const real_t* const delta_lb, /**< Step direction of lower bounds. */ + const real_t* const delta_ub, /**< Step direction of upper bounds. */ + BooleanType Delta_bC_isZero, /**< Indicates if active constraints' bounds are to be shifted. */ + BooleanType Delta_bB_isZero, /**< Indicates if active bounds are to be shifted. */ + real_t* const delta_xFX, /**< Output: Primal homotopy step direction of fixed variables. */ + real_t* const delta_xFR, /**< Output: Primal homotopy step direction of free variables. */ + real_t* const delta_yAC, /**< Output: Dual homotopy step direction of active constraints' multiplier. */ + real_t* const delta_yFX /**< Output: Dual homotopy step direction of fixed variables' multiplier. */ + ); + + /** Determines the maximum possible step length along the homotopy path. + * \return SUCCESSFUL_RETURN */ + returnValue hotstart_determineStepLength( const int* const FR_idx, /**< Index array of free variables. */ + const int* const FX_idx, /**< Index array of fixed variables. */ + const int* const AC_idx, /**< Index array of active constraints. */ + const int* const IAC_idx, /**< Index array of inactive constraints. */ + const real_t* const delta_lbA, /**< Step direction of lower constraints' bounds. */ + const real_t* const delta_ubA, /**< Step direction of upper constraints' bounds. */ + const real_t* const delta_lb, /**< Step direction of lower bounds. */ + const real_t* const delta_ub, /**< Step direction of upper bounds. */ + const real_t* const delta_xFX, /**< Primal homotopy step direction of fixed variables. */ + const real_t* const delta_xFR, /**< Primal homotopy step direction of free variables. */ + const real_t* const delta_yAC, /**< Dual homotopy step direction of active constraints' multiplier. */ + const real_t* const delta_yFX, /**< Dual homotopy step direction of fixed variables' multiplier. */ + real_t* const delta_Ax, /**< Output: Step in vector Ax. */ + int& BC_idx, /**< Output: Index of blocking constraint. */ + SubjectToStatus& BC_status, /**< Output: Status of blocking constraint. */ + BooleanType& BC_isBound /**< Output: Indicates if blocking constraint is a bound. */ + ); + + /** Performs a step along the homotopy path (and updates active set). + * \return SUCCESSFUL_RETURN \n + RET_OPTIMAL_SOLUTION_FOUND \n + RET_REMOVE_FROM_ACTIVESET_FAILED \n + RET_ADD_TO_ACTIVESET_FAILED \n + RET_QP_INFEASIBLE */ + returnValue hotstart_performStep( const int* const FR_idx, /**< Index array of free variables. */ + const int* const FX_idx, /**< Index array of fixed variables. */ + const int* const AC_idx, /**< Index array of active constraints. */ + const int* const IAC_idx, /**< Index array of inactive constraints. */ + const real_t* const delta_g, /**< Step direction of gradient vector. */ + const real_t* const delta_lbA, /**< Step direction of lower constraints' bounds. */ + const real_t* const delta_ubA, /**< Step direction of upper constraints' bounds. */ + const real_t* const delta_lb, /**< Step direction of lower bounds. */ + const real_t* const delta_ub, /**< Step direction of upper bounds. */ + const real_t* const delta_xFX, /**< Primal homotopy step direction of fixed variables. */ + const real_t* const delta_xFR, /**< Primal homotopy step direction of free variables. */ + const real_t* const delta_yAC, /**< Dual homotopy step direction of active constraints' multiplier. */ + const real_t* const delta_yFX, /**< Dual homotopy step direction of fixed variables' multiplier. */ + const real_t* const delta_Ax, /**< Step in vector Ax. */ + int BC_idx, /**< Index of blocking constraint. */ + SubjectToStatus BC_status, /**< Status of blocking constraint. */ + BooleanType BC_isBound /**< Indicates if blocking constraint is a bound. */ + ); + + + /** Checks if lower/upper (constraints') bounds remain consistent + * (i.e. if lb <= ub and lbA <= ubA ) during the current step. + * \return BT_TRUE iff (constraints") bounds remain consistent + */ + BooleanType areBoundsConsistent( const real_t* const delta_lb, /**< Step direction of lower bounds. */ + const real_t* const delta_ub, /**< Step direction of upper bounds. */ + const real_t* const delta_lbA, /**< Step direction of lower constraints' bounds. */ + const real_t* const delta_ubA /**< Step direction of upper constraints' bounds. */ + ) const; + + + /** Setups internal QP data. + * \return SUCCESSFUL_RETURN \n + RET_INVALID_ARGUMENTS */ + returnValue setupQPdata( const real_t* const _H, /**< Hessian matrix. */ + const real_t* const _R, /**< Cholesky factorization of the Hessian matrix. */ + const real_t* const _g, /**< Gradient vector. */ + const real_t* const _A, /**< Constraint matrix. */ + const real_t* const _lb, /**< Lower bound vector (on variables). \n + If no lower bounds exist, a NULL pointer can be passed. */ + const real_t* const _ub, /**< Upper bound vector (on variables). \n + If no upper bounds exist, a NULL pointer can be passed. */ + const real_t* const _lbA, /**< Lower constraints' bound vector. \n + If no lower constraints' bounds exist, a NULL pointer can be passed. */ + const real_t* const _ubA /**< Upper constraints' bound vector. \n + If no lower constraints' bounds exist, a NULL pointer can be passed. */ + ); + + + #ifdef PC_DEBUG /* Define print functions only for debugging! */ + + /** Prints concise information on the current iteration. + * \return SUCCESSFUL_RETURN \n */ + returnValue printIteration( int iteration, /**< Number of current iteration. */ + int BC_idx, /**< Index of blocking constraint. */ + SubjectToStatus BC_status, /**< Status of blocking constraint. */ + BooleanType BC_isBound /**< Indicates if blocking constraint is a bound. */ + ); + + /** Prints concise information on the current iteration. + * NOTE: ONLY DEFINED FOR SUPPRESSING A COMPILER WARNING!! + * \return SUCCESSFUL_RETURN \n */ + returnValue printIteration( int iteration, /**< Number of current iteration. */ + int BC_idx, /**< Index of blocking bound. */ + SubjectToStatus BC_status /**< Status of blocking bound. */ + ); + + #endif /* PC_DEBUG */ + + + /** Determines the maximum violation of the KKT optimality conditions + * of the current iterate within the QProblem object. + * \return SUCCESSFUL_RETURN \n + * RET_INACCURATE_SOLUTION \n + * RET_NO_SOLUTION */ + returnValue checkKKTconditions( ); + + + /** Sets constraint matrix of the QP. \n + (Remark: Also internal vector Ax is recomputed!) + * \return SUCCESSFUL_RETURN */ + inline returnValue setA( const real_t* const A_new /**< New constraint matrix (with correct dimension!). */ + ); + + /** Changes single row of constraint matrix of the QP. \n + (Remark: Also correponding component of internal vector Ax is recomputed!) + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue setA( int number, /**< Number of row to be changed. */ + const real_t* const value /**< New (number)th constraint (with correct dimension!). */ + ); + + + /** Sets constraints' lower bound vector of the QP. + * \return SUCCESSFUL_RETURN */ + inline returnValue setLBA( const real_t* const lbA_new /**< New constraints' lower bound vector (with correct dimension!). */ + ); + + /** Changes single entry of lower constraints' bound vector of the QP. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue setLBA( int number, /**< Number of entry to be changed. */ + real_t value /**< New value for entry of lower constraints' bound vector (with correct dimension!). */ + ); + + /** Sets constraints' upper bound vector of the QP. + * \return SUCCESSFUL_RETURN */ + inline returnValue setUBA( const real_t* const ubA_new /**< New constraints' upper bound vector (with correct dimension!). */ + ); + + /** Changes single entry of upper constraints' bound vector of the QP. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue setUBA( int number, /**< Number of entry to be changed. */ + real_t value /**< New value for entry of upper constraints' bound vector (with correct dimension!). */ + ); + + + /* + * PROTECTED MEMBER VARIABLES + */ + protected: + real_t A[NCMAX_ALLOC*NVMAX]; /**< Constraint matrix. */ + real_t lbA[NCMAX_ALLOC]; /**< Lower constraints' bound vector. */ + real_t ubA[NCMAX_ALLOC]; /**< Upper constraints' bound vector. */ + + Constraints constraints; /**< Data structure for problem's constraints. */ + + real_t T[NVMAX*NVMAX]; /**< Reverse triangular matrix, A = [0 T]*Q'. */ + real_t Q[NVMAX*NVMAX]; /**< Orthonormal quadratic matrix, A = [0 T]*Q'. */ + int sizeT; /**< Matrix T is stored in a (sizeT x sizeT) array. */ + + real_t Ax[NCMAX_ALLOC]; /**< Stores the current product A*x (for increased efficiency only). */ + + CyclingManager cyclingManager; /**< Data structure for storing (possible) cycling information (NOT YET IMPLEMENTED!). */ +}; + + +#include + +#endif /* QPOASES_QPROBLEM_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/QProblemB.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/QProblemB.hpp new file mode 100644 index 0000000..8b3acb8 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/QProblemB.hpp @@ -0,0 +1,628 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/QProblemB.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of the QProblemB class which is able to use the newly + * developed online active set strategy for parametric quadratic programming + * for problems with (simple) bounds only. + */ + + + +#ifndef QPOASES_QPROBLEMB_HPP +#define QPOASES_QPROBLEMB_HPP + + +#include + + + +class SolutionAnalysis; + +/** Class for setting up and solving quadratic programs with (simple) bounds only. + * The main feature is the possibily to use the newly developed online active set strategy + * for parametric quadratic programming. + * + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + */ +class QProblemB +{ + /* allow SolutionAnalysis class to access private members */ + friend class SolutionAnalysis; + + /* + * PUBLIC MEMBER FUNCTIONS + */ + public: + /** Default constructor. */ + QProblemB( ); + + /** Constructor which takes the QP dimension only. */ + QProblemB( int _nV /**< Number of variables. */ + ); + + /** Copy constructor (deep copy). */ + QProblemB( const QProblemB& rhs /**< Rhs object. */ + ); + + /** Destructor. */ + ~QProblemB( ); + + /** Assignment operator (deep copy). */ + QProblemB& operator=( const QProblemB& rhs /**< Rhs object. */ + ); + + + /** Clears all data structures of QProblemB except for QP data. + * \return SUCCESSFUL_RETURN \n + RET_RESET_FAILED */ + returnValue reset( ); + + + /** Initialises a QProblemB with given QP data and solves it + * using an initial homotopy with empty working set (at most nWSR iterations). + * \return SUCCESSFUL_RETURN \n + RET_INIT_FAILED \n + RET_INIT_FAILED_CHOLESKY \n + RET_INIT_FAILED_HOTSTART \n + RET_INIT_FAILED_INFEASIBILITY \n + RET_INIT_FAILED_UNBOUNDEDNESS \n + RET_MAX_NWSR_REACHED \n + RET_INVALID_ARGUMENTS \n + RET_INACCURATE_SOLUTION \n + RET_NO_SOLUTION */ + returnValue init( const real_t* const _H, /**< Hessian matrix. */ + const real_t* const _g, /**< Gradient vector. */ + const real_t* const _lb, /**< Lower bounds (on variables). \n + If no lower bounds exist, a NULL pointer can be passed. */ + const real_t* const _ub, /**< Upper bounds (on variables). \n + If no upper bounds exist, a NULL pointer can be passed. */ + int& nWSR, /**< Input: Maximum number of working set recalculations when using initial homotopy. \n + Output: Number of performed working set recalculations. */ + const real_t* const yOpt = 0, /**< Initial guess for dual solution vector. */ + real_t* const cputime = 0 /**< Output: CPU time required to initialise QP. */ + ); + + + /** Initialises a QProblemB with given QP data and solves it + * using an initial homotopy with empty working set (at most nWSR iterations). + * \return SUCCESSFUL_RETURN \n + RET_INIT_FAILED \n + RET_INIT_FAILED_CHOLESKY \n + RET_INIT_FAILED_HOTSTART \n + RET_INIT_FAILED_INFEASIBILITY \n + RET_INIT_FAILED_UNBOUNDEDNESS \n + RET_MAX_NWSR_REACHED \n + RET_INVALID_ARGUMENTS \n + RET_INACCURATE_SOLUTION \n + RET_NO_SOLUTION */ + returnValue init( const real_t* const _H, /**< Hessian matrix. */ + const real_t* const _R, /**< Cholesky factorization of the Hessian matrix. */ + const real_t* const _g, /**< Gradient vector. */ + const real_t* const _lb, /**< Lower bounds (on variables). \n + If no lower bounds exist, a NULL pointer can be passed. */ + const real_t* const _ub, /**< Upper bounds (on variables). \n + If no upper bounds exist, a NULL pointer can be passed. */ + int& nWSR, /**< Input: Maximum number of working set recalculations when using initial homotopy. \n + Output: Number of performed working set recalculations. */ + const real_t* const yOpt = 0, /**< Initial guess for dual solution vector. */ + real_t* const cputime = 0 /**< Output: CPU time required to initialise QP. */ + ); + + + /** Solves an initialised QProblemB using online active set strategy. + * \return SUCCESSFUL_RETURN \n + RET_MAX_NWSR_REACHED \n + RET_HOTSTART_FAILED_AS_QP_NOT_INITIALISED \n + RET_HOTSTART_FAILED \n + RET_SHIFT_DETERMINATION_FAILED \n + RET_STEPDIRECTION_DETERMINATION_FAILED \n + RET_STEPLENGTH_DETERMINATION_FAILED \n + RET_HOMOTOPY_STEP_FAILED \n + RET_HOTSTART_STOPPED_INFEASIBILITY \n + RET_HOTSTART_STOPPED_UNBOUNDEDNESS \n + RET_INACCURATE_SOLUTION \n + RET_NO_SOLUTION */ + returnValue hotstart( const real_t* const g_new, /**< Gradient of neighbouring QP to be solved. */ + const real_t* const lb_new, /**< Lower bounds of neighbouring QP to be solved. \n + If no lower bounds exist, a NULL pointer can be passed. */ + const real_t* const ub_new, /**< Upper bounds of neighbouring QP to be solved. \n + If no upper bounds exist, a NULL pointer can be passed. */ + int& nWSR, /**< Input: Maximum number of working set recalculations; \n + Output: Number of performed working set recalculations. */ + real_t* const cputime /**< Output: CPU time required to solve QP (or to perform nWSR iterations). */ + ); + + + /** Returns Hessian matrix of the QP (deep copy). + * \return SUCCESSFUL_RETURN */ + inline returnValue getH( real_t* const _H /**< Array of appropriate dimension for copying Hessian matrix.*/ + ) const; + + /** Returns gradient vector of the QP (deep copy). + * \return SUCCESSFUL_RETURN */ + inline returnValue getG( real_t* const _g /**< Array of appropriate dimension for copying gradient vector.*/ + ) const; + + /** Returns lower bound vector of the QP (deep copy). + * \return SUCCESSFUL_RETURN */ + inline returnValue getLB( real_t* const _lb /**< Array of appropriate dimension for copying lower bound vector.*/ + ) const; + + /** Returns single entry of lower bound vector of the QP. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue getLB( int number, /**< Number of entry to be returned. */ + real_t& value /**< Output: lb[number].*/ + ) const; + + /** Returns upper bound vector of the QP (deep copy). + * \return SUCCESSFUL_RETURN */ + inline returnValue getUB( real_t* const _ub /**< Array of appropriate dimension for copying upper bound vector.*/ + ) const; + + /** Returns single entry of upper bound vector of the QP. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue getUB( int number, /**< Number of entry to be returned. */ + real_t& value /**< Output: ub[number].*/ + ) const; + + + /** Returns current bounds object of the QP (deep copy). + * \return SUCCESSFUL_RETURN */ + inline returnValue getBounds( Bounds* const _bounds /** Output: Bounds object. */ + ) const; + + + /** Returns the number of variables. + * \return Number of variables. */ + inline int getNV( ) const; + + /** Returns the number of free variables. + * \return Number of free variables. */ + inline int getNFR( ); + + /** Returns the number of fixed variables. + * \return Number of fixed variables. */ + inline int getNFX( ); + + /** Returns the number of implicitly fixed variables. + * \return Number of implicitly fixed variables. */ + inline int getNFV( ) const; + + /** Returns the dimension of null space. + * \return Dimension of null space. */ + int getNZ( ); + + + /** Returns the optimal objective function value. + * \return finite value: Optimal objective function value (QP was solved) \n + +infinity: QP was not yet solved */ + real_t getObjVal( ) const; + + /** Returns the objective function value at an arbitrary point x. + * \return Objective function value at point x */ + real_t getObjVal( const real_t* const _x /**< Point at which the objective function shall be evaluated. */ + ) const; + + /** Returns the primal solution vector. + * \return SUCCESSFUL_RETURN \n + RET_QP_NOT_SOLVED */ + returnValue getPrimalSolution( real_t* const xOpt /**< Output: Primal solution vector (if QP has been solved). */ + ) const; + + /** Returns the dual solution vector. + * \return SUCCESSFUL_RETURN \n + RET_QP_NOT_SOLVED */ + returnValue getDualSolution( real_t* const yOpt /**< Output: Dual solution vector (if QP has been solved). */ + ) const; + + + /** Returns status of the solution process. + * \return Status of solution process. */ + inline QProblemStatus getStatus( ) const; + + + /** Returns if the QProblem object is initialised. + * \return BT_TRUE: QProblemB initialised \n + BT_FALSE: QProblemB not initialised */ + inline BooleanType isInitialised( ) const; + + /** Returns if the QP has been solved. + * \return BT_TRUE: QProblemB solved \n + BT_FALSE: QProblemB not solved */ + inline BooleanType isSolved( ) const; + + /** Returns if the QP is infeasible. + * \return BT_TRUE: QP infeasible \n + BT_FALSE: QP feasible (or not known to be infeasible!) */ + inline BooleanType isInfeasible( ) const; + + /** Returns if the QP is unbounded. + * \return BT_TRUE: QP unbounded \n + BT_FALSE: QP unbounded (or not known to be unbounded!) */ + inline BooleanType isUnbounded( ) const; + + + /** Returns the print level. + * \return Print level. */ + inline PrintLevel getPrintLevel( ) const; + + /** Changes the print level. + * \return SUCCESSFUL_RETURN */ + returnValue setPrintLevel( PrintLevel _printlevel /**< New print level. */ + ); + + + /** Returns Hessian type flag (type is not determined due to this call!). + * \return Hessian type. */ + inline HessianType getHessianType( ) const; + + /** Changes the print level. + * \return SUCCESSFUL_RETURN */ + inline returnValue setHessianType( HessianType _hessianType /**< New Hessian type. */ + ); + + + /* + * PROTECTED MEMBER FUNCTIONS + */ + protected: + /** Checks if Hessian happens to be the identity matrix, + * and sets corresponding status flag (otherwise the flag remains unaltered!). + * \return SUCCESSFUL_RETURN */ + returnValue checkForIdentityHessian( ); + + /** Determines type of constraints and bounds (i.e. implicitly fixed, unbounded etc.). + * \return SUCCESSFUL_RETURN \n + RET_SETUPSUBJECTTOTYPE_FAILED */ + returnValue setupSubjectToType( ); + + /** Computes the Cholesky decomposition R of the (simply projected) Hessian (i.e. R^T*R = Z^T*H*Z). + * It only works in the case where Z is a simple projection matrix! + * \return SUCCESSFUL_RETURN \n + * RET_INDEXLIST_CORRUPTED */ + returnValue setupCholeskyDecomposition( ); + + + /** Solves a QProblemB whose QP data is assumed to be stored in the member variables. + * A guess for its primal/dual optimal solution vectors and the corresponding + * optimal working set can be provided. + * \return SUCCESSFUL_RETURN \n + RET_INIT_FAILED \n + RET_INIT_FAILED_CHOLESKY \n + RET_INIT_FAILED_HOTSTART \n + RET_INIT_FAILED_INFEASIBILITY \n + RET_INIT_FAILED_UNBOUNDEDNESS \n + RET_MAX_NWSR_REACHED */ + returnValue solveInitialQP( const real_t* const xOpt, /**< Optimal primal solution vector. + * A NULL pointer can be passed. */ + const real_t* const yOpt, /**< Optimal dual solution vector. + * A NULL pointer can be passed. */ + const Bounds* const guessedBounds, /**< Guessed working set for solution (xOpt,yOpt). + * A NULL pointer can be passed. */ + int& nWSR, /**< Input: Maximum number of working set recalculations; \n + * Output: Number of performed working set recalculations. */ + real_t* const cputime /**< Output: CPU time required to solve QP (or to perform nWSR iterations). */ + ); + + + /** Obtains the desired working set for the auxiliary initial QP in + * accordance with the user specifications + * \return SUCCESSFUL_RETURN \n + RET_OBTAINING_WORKINGSET_FAILED \n + RET_INVALID_ARGUMENTS */ + returnValue obtainAuxiliaryWorkingSet( const real_t* const xOpt, /**< Optimal primal solution vector. + * If a NULL pointer is passed, all entries are assumed to be zero. */ + const real_t* const yOpt, /**< Optimal dual solution vector. + * If a NULL pointer is passed, all entries are assumed to be zero. */ + const Bounds* const guessedBounds, /**< Guessed working set for solution (xOpt,yOpt). */ + Bounds* auxiliaryBounds /**< Input: Allocated bound object. \n + * Ouput: Working set for auxiliary QP. */ + ) const; + + /** Setups bound data structure according to auxiliaryBounds. + * (If the working set shall be setup afresh, make sure that + * bounds data structure has been resetted!) + * \return SUCCESSFUL_RETURN \n + RET_SETUP_WORKINGSET_FAILED \n + RET_INVALID_ARGUMENTS \n + RET_UNKNOWN BUG */ + returnValue setupAuxiliaryWorkingSet( const Bounds* const auxiliaryBounds, /**< Working set for auxiliary QP. */ + BooleanType setupAfresh /**< Flag indicating if given working set shall be + * setup afresh or by updating the current one. */ + ); + + /** Setups the optimal primal/dual solution of the auxiliary initial QP. + * \return SUCCESSFUL_RETURN */ + returnValue setupAuxiliaryQPsolution( const real_t* const xOpt, /**< Optimal primal solution vector. + * If a NULL pointer is passed, all entries are set to zero. */ + const real_t* const yOpt /**< Optimal dual solution vector. + * If a NULL pointer is passed, all entries are set to zero. */ + ); + + /** Setups gradient of the auxiliary initial QP for given + * optimal primal/dual solution and given initial working set + * (assumes that members X, Y and BOUNDS have already been initialised!). + * \return SUCCESSFUL_RETURN */ + returnValue setupAuxiliaryQPgradient( ); + + /** Setups bounds of the auxiliary initial QP for given + * optimal primal/dual solution and given initial working set + * (assumes that members X, Y and BOUNDS have already been initialised!). + * \return SUCCESSFUL_RETURN \n + RET_UNKNOWN BUG */ + returnValue setupAuxiliaryQPbounds( BooleanType useRelaxation /**< Flag indicating if inactive bounds shall be relaxed. */ + ); + + + /** Adds a bound to active set (specialised version for the case where no constraints exist). + * \return SUCCESSFUL_RETURN \n + RET_ADDBOUND_FAILED */ + returnValue addBound( int number, /**< Number of bound to be added to active set. */ + SubjectToStatus B_status, /**< Status of new active bound. */ + BooleanType updateCholesky /**< Flag indicating if Cholesky decomposition shall be updated. */ + ); + + /** Removes a bounds from active set (specialised version for the case where no constraints exist). + * \return SUCCESSFUL_RETURN \n + RET_HESSIAN_NOT_SPD \n + RET_REMOVEBOUND_FAILED */ + returnValue removeBound( int number, /**< Number of bound to be removed from active set. */ + BooleanType updateCholesky /**< Flag indicating if Cholesky decomposition shall be updated. */ + ); + + + /** Solves the system Ra = b or R^Ta = b where R is an upper triangular matrix. + * \return SUCCESSFUL_RETURN \n + RET_DIV_BY_ZERO */ + returnValue backsolveR( const real_t* const b, /**< Right hand side vector. */ + BooleanType transposed, /**< Indicates if the transposed system shall be solved. */ + real_t* const a /**< Output: Solution vector */ + ); + + /** Solves the system Ra = b or R^Ta = b where R is an upper triangular matrix. \n + * Special variant for the case that this function is called from within "removeBound()". + * \return SUCCESSFUL_RETURN \n + RET_DIV_BY_ZERO */ + returnValue backsolveR( const real_t* const b, /**< Right hand side vector. */ + BooleanType transposed, /**< Indicates if the transposed system shall be solved. */ + BooleanType removingBound, /**< Indicates if function is called from "removeBound()". */ + real_t* const a /**< Output: Solution vector */ + ); + + + /** Determines step direction of the shift of the QP data. + * \return SUCCESSFUL_RETURN */ + returnValue hotstart_determineDataShift(const int* const FX_idx, /**< Index array of fixed variables. */ + const real_t* const g_new, /**< New gradient vector. */ + const real_t* const lb_new, /**< New lower bounds. */ + const real_t* const ub_new, /**< New upper bounds. */ + real_t* const delta_g, /**< Output: Step direction of gradient vector. */ + real_t* const delta_lb, /**< Output: Step direction of lower bounds. */ + real_t* const delta_ub, /**< Output: Step direction of upper bounds. */ + BooleanType& Delta_bB_isZero/**< Output: Indicates if active bounds are to be shifted. */ + ); + + + /** Checks if lower/upper bounds remain consistent + * (i.e. if lb <= ub) during the current step. + * \return BT_TRUE iff bounds remain consistent + */ + BooleanType areBoundsConsistent( const real_t* const delta_lb, /**< Step direction of lower bounds. */ + const real_t* const delta_ub /**< Step direction of upper bounds. */ + ) const; + + + /** Setups internal QP data. + * \return SUCCESSFUL_RETURN \n + RET_INVALID_ARGUMENTS */ + returnValue setupQPdata( const real_t* const _H, /**< Hessian matrix. */ + const real_t* const _R, /**< Cholesky factorization of the Hessian matrix. */ + const real_t* const _g, /**< Gradient vector. */ + const real_t* const _lb, /**< Lower bounds (on variables). \n + If no lower bounds exist, a NULL pointer can be passed. */ + const real_t* const _ub /**< Upper bounds (on variables). \n + If no upper bounds exist, a NULL pointer can be passed. */ + ); + + + /** Sets Hessian matrix of the QP. + * \return SUCCESSFUL_RETURN */ + inline returnValue setH( const real_t* const H_new /**< New Hessian matrix (with correct dimension!). */ + ); + + /** Changes gradient vector of the QP. + * \return SUCCESSFUL_RETURN */ + inline returnValue setG( const real_t* const g_new /**< New gradient vector (with correct dimension!). */ + ); + + /** Changes lower bound vector of the QP. + * \return SUCCESSFUL_RETURN */ + inline returnValue setLB( const real_t* const lb_new /**< New lower bound vector (with correct dimension!). */ + ); + + /** Changes single entry of lower bound vector of the QP. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue setLB( int number, /**< Number of entry to be changed. */ + real_t value /**< New value for entry of lower bound vector. */ + ); + + /** Changes upper bound vector of the QP. + * \return SUCCESSFUL_RETURN */ + inline returnValue setUB( const real_t* const ub_new /**< New upper bound vector (with correct dimension!). */ + ); + + /** Changes single entry of upper bound vector of the QP. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue setUB( int number, /**< Number of entry to be changed. */ + real_t value /**< New value for entry of upper bound vector. */ + ); + + + /** Computes parameters for the Givens matrix G for which [x,y]*G = [z,0] + * \return SUCCESSFUL_RETURN */ + inline void computeGivens( real_t xold, /**< Matrix entry to be normalised. */ + real_t yold, /**< Matrix entry to be annihilated. */ + real_t& xnew, /**< Output: Normalised matrix entry. */ + real_t& ynew, /**< Output: Annihilated matrix entry. */ + real_t& c, /**< Output: Cosine entry of Givens matrix. */ + real_t& s /**< Output: Sine entry of Givens matrix. */ + ) const; + + /** Applies Givens matrix determined by c and s (cf. computeGivens). + * \return SUCCESSFUL_RETURN */ + inline void applyGivens( real_t c, /**< Cosine entry of Givens matrix. */ + real_t s, /**< Sine entry of Givens matrix. */ + real_t xold, /**< Matrix entry to be transformed corresponding to + * the normalised entry of the original matrix. */ + real_t yold, /**< Matrix entry to be transformed corresponding to + * the annihilated entry of the original matrix. */ + real_t& xnew, /**< Output: Transformed matrix entry corresponding to + * the normalised entry of the original matrix. */ + real_t& ynew /**< Output: Transformed matrix entry corresponding to + * the annihilated entry of the original matrix. */ + ) const; + + + /* + * PRIVATE MEMBER FUNCTIONS + */ + private: + /** Determines step direction of the homotopy path. + * \return SUCCESSFUL_RETURN \n + RET_STEPDIRECTION_FAILED_CHOLESKY */ + returnValue hotstart_determineStepDirection(const int* const FR_idx, /**< Index array of free variables. */ + const int* const FX_idx, /**< Index array of fixed variables. */ + const real_t* const delta_g, /**< Step direction of gradient vector. */ + const real_t* const delta_lb, /**< Step direction of lower bounds. */ + const real_t* const delta_ub, /**< Step direction of upper bounds. */ + BooleanType Delta_bB_isZero, /**< Indicates if active bounds are to be shifted. */ + real_t* const delta_xFX, /**< Output: Primal homotopy step direction of fixed variables. */ + real_t* const delta_xFR, /**< Output: Primal homotopy step direction of free variables. */ + real_t* const delta_yFX /**< Output: Dual homotopy step direction of fixed variables' multiplier. */ + ); + + /** Determines the maximum possible step length along the homotopy path. + * \return SUCCESSFUL_RETURN */ + returnValue hotstart_determineStepLength( const int* const FR_idx, /**< Index array of free variables. */ + const int* const FX_idx, /**< Index array of fixed variables. */ + const real_t* const delta_lb, /**< Step direction of lower bounds. */ + const real_t* const delta_ub, /**< Step direction of upper bounds. */ + const real_t* const delta_xFR, /**< Primal homotopy step direction of free variables. */ + const real_t* const delta_yFX, /**< Dual homotopy step direction of fixed variables' multiplier. */ + int& BC_idx, /**< Output: Index of blocking constraint. */ + SubjectToStatus& BC_status /**< Output: Status of blocking constraint. */ + ); + + /** Performs a step along the homotopy path (and updates active set). + * \return SUCCESSFUL_RETURN \n + RET_OPTIMAL_SOLUTION_FOUND \n + RET_REMOVE_FROM_ACTIVESET_FAILED \n + RET_ADD_TO_ACTIVESET_FAILED \n + RET_QP_INFEASIBLE */ + returnValue hotstart_performStep( const int* const FR_idx, /**< Index array of free variables. */ + const int* const FX_idx, /**< Index array of fixed variables. */ + const real_t* const delta_g, /**< Step direction of gradient vector. */ + const real_t* const delta_lb, /**< Step direction of lower bounds. */ + const real_t* const delta_ub, /**< Step direction of upper bounds. */ + const real_t* const delta_xFX, /**< Primal homotopy step direction of fixed variables. */ + const real_t* const delta_xFR, /**< Primal homotopy step direction of free variables. */ + const real_t* const delta_yFX, /**< Dual homotopy step direction of fixed variables' multiplier. */ + int BC_idx, /**< Index of blocking constraint. */ + SubjectToStatus BC_status /**< Status of blocking constraint. */ + ); + + + #ifdef PC_DEBUG /* Define print functions only for debugging! */ + + /** Prints concise information on the current iteration. + * \return SUCCESSFUL_RETURN \n */ + returnValue printIteration( int iteration, /**< Number of current iteration. */ + int BC_idx, /**< Index of blocking bound. */ + SubjectToStatus BC_status /**< Status of blocking bound. */ + ); + + #endif /* PC_DEBUG */ + + + /** Determines the maximum violation of the KKT optimality conditions + * of the current iterate within the QProblemB object. + * \return SUCCESSFUL_RETURN \n + * RET_INACCURATE_SOLUTION \n + * RET_NO_SOLUTION */ + returnValue checkKKTconditions( ); + + + /* + * PROTECTED MEMBER VARIABLES + */ + protected: + real_t H[NVMAX*NVMAX]; /**< Hessian matrix. */ + BooleanType hasHessian; /**< Flag indicating whether H contains Hessian or corresponding Cholesky factor R; \sa init. */ + + real_t g[NVMAX]; /**< Gradient. */ + real_t lb[NVMAX]; /**< Lower bound vector (on variables). */ + real_t ub[NVMAX]; /**< Upper bound vector (on variables). */ + + Bounds bounds; /**< Data structure for problem's bounds. */ + + real_t R[NVMAX*NVMAX]; /**< Cholesky decomposition of H (i.e. H = R^T*R). */ + BooleanType hasCholesky; /**< Flag indicating whether Cholesky decomposition has already been setup. */ + + real_t x[NVMAX]; /**< Primal solution vector. */ + real_t y[NVMAX+NCMAX]; /**< Dual solution vector. */ + + real_t tau; /**< Last homotopy step length. */ + + QProblemStatus status; /**< Current status of the solution process. */ + + BooleanType infeasible; /**< QP infeasible? */ + BooleanType unbounded; /**< QP unbounded? */ + + HessianType hessianType; /**< Type of Hessian matrix. */ + + PrintLevel printlevel; /**< Print level. */ + + int count; /**< Counts the number of hotstart function calls (internal usage only!). */ +}; + + +#include + +#endif /* QPOASES_QPROBLEMB_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/SubjectTo.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/SubjectTo.hpp new file mode 100644 index 0000000..a014843 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/SubjectTo.hpp @@ -0,0 +1,178 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/SubjectTo.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of the SubjectTo class designed to manage working sets of + * constraints and bounds within a QProblem. + */ + + +#ifndef QPOASES_SUBJECTTO_HPP +#define QPOASES_SUBJECTTO_HPP + + +#include + + + +/** This class manages working sets of constraints and bounds by storing + * index sets and other status information. + * + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + */ +class SubjectTo +{ + /* + * PUBLIC MEMBER FUNCTIONS + */ + public: + /** Default constructor. */ + SubjectTo( ); + + /** Copy constructor (deep copy). */ + SubjectTo( const SubjectTo& rhs /**< Rhs object. */ + ); + + /** Destructor. */ + ~SubjectTo( ); + + /** Assignment operator (deep copy). */ + SubjectTo& operator=( const SubjectTo& rhs /**< Rhs object. */ + ); + + + /** Pseudo-constructor takes the number of constraints or bounds. + * \return SUCCESSFUL_RETURN */ + returnValue init( int n /**< Number of constraints or bounds. */ + ); + + + /** Returns type of (constraints') bound. + * \return Type of (constraints') bound \n + RET_INDEX_OUT_OF_BOUNDS */ + inline SubjectToType getType( int i /**< Number of (constraints') bound. */ + ) const ; + + /** Returns status of (constraints') bound. + * \return Status of (constraints') bound \n + ST_UNDEFINED */ + inline SubjectToStatus getStatus( int i /**< Number of (constraints') bound. */ + ) const; + + + /** Sets type of (constraints') bound. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue setType( int i, /**< Number of (constraints') bound. */ + SubjectToType value /**< Type of (constraints') bound. */ + ); + + /** Sets status of (constraints') bound. + * \return SUCCESSFUL_RETURN \n + RET_INDEX_OUT_OF_BOUNDS */ + inline returnValue setStatus( int i, /**< Number of (constraints') bound. */ + SubjectToStatus value /**< Status of (constraints') bound. */ + ); + + + /** Sets status of lower (constraints') bounds. */ + inline void setNoLower( BooleanType _status /**< Status of lower (constraints') bounds. */ + ); + + /** Sets status of upper (constraints') bounds. */ + inline void setNoUpper( BooleanType _status /**< Status of upper (constraints') bounds. */ + ); + + + /** Returns status of lower (constraints') bounds. + * \return BT_TRUE if there is no lower (constraints') bound on any variable. */ + inline BooleanType isNoLower( ) const; + + /** Returns status of upper bounds. + * \return BT_TRUE if there is no upper (constraints') bound on any variable. */ + inline BooleanType isNoUpper( ) const; + + + /* + * PROTECTED MEMBER FUNCTIONS + */ + protected: + /** Adds the index of a new constraint or bound to index set. + * \return SUCCESSFUL_RETURN \n + RET_ADDINDEX_FAILED */ + returnValue addIndex( Indexlist* const indexlist, /**< Index list to which the new index shall be added. */ + int newnumber, /**< Number of new constraint or bound. */ + SubjectToStatus newstatus /**< Status of new constraint or bound. */ + ); + + /** Removes the index of a constraint or bound from index set. + * \return SUCCESSFUL_RETURN \n + RET_UNKNOWN_BUG */ + returnValue removeIndex( Indexlist* const indexlist, /**< Index list from which the new index shall be removed. */ + int removenumber /**< Number of constraint or bound to be removed. */ + ); + + /** Swaps the indices of two constraints or bounds within the index set. + * \return SUCCESSFUL_RETURN \n + RET_SWAPINDEX_FAILED */ + returnValue swapIndex( Indexlist* const indexlist, /**< Index list in which the indices shold be swapped. */ + int number1, /**< Number of first constraint or bound. */ + int number2 /**< Number of second constraint or bound. */ + ); + + + /* + * PROTECTED MEMBER VARIABLES + */ + protected: + SubjectToType type[NVMAX+NCMAX]; /**< Type of constraints/bounds. */ + SubjectToStatus status[NVMAX+NCMAX]; /**< Status of constraints/bounds. */ + + BooleanType noLower; /**< This flag indicates if there is no lower bound on any variable. */ + BooleanType noUpper; /**< This flag indicates if there is no upper bound on any variable. */ + + + /* + * PRIVATE MEMBER VARIABLES + */ + private: + int size; +}; + + + +#include + +#endif /* QPOASES_SUBJECTTO_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Types.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Types.hpp new file mode 100644 index 0000000..330f187 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Types.hpp @@ -0,0 +1,131 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/Types.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2008 + * + * Declaration of all non-built-in types (except for classes). + */ + + +#ifndef QPOASES_TYPES_HPP +#define QPOASES_TYPES_HPP + + + +/** Define real_t for facilitating switching between double and float. */ +// typedef double real_t; + + +/** Summarises all possible logical values. */ +enum BooleanType +{ + BT_FALSE, /**< Logical value for "false". */ + BT_TRUE /**< Logical value for "true". */ +}; + + +/** Summarises all possible print levels. Print levels are used to describe + * the desired amount of output during runtime of qpOASES. */ +enum PrintLevel +{ + PL_NONE, /**< No output. */ + PL_LOW, /**< Print error messages only. */ + PL_MEDIUM, /**< Print error and warning messages as well as concise info messages. */ + PL_HIGH /**< Print all messages with full details. */ +}; + + +/** Defines visibility status of a message. */ +enum VisibilityStatus +{ + VS_VISIBLE, /**< Message visible. */ + VS_HIDDEN /**< Message not visible. */ +}; + + +/** Summarises all possible states of the (S)QProblem(B) object during the +solution process of a QP sequence. */ +enum QProblemStatus +{ + QPS_NOTINITIALISED, /**< QProblem object is freshly instantiated or reset. */ + QPS_PREPARINGAUXILIARYQP, /**< An auxiliary problem is currently setup, either at the very beginning + * via an initial homotopy or after changing the QP matrices. */ + QPS_AUXILIARYQPSOLVED, /**< An auxilary problem was solved, either at the very beginning + * via an initial homotopy or after changing the QP matrices. */ + QPS_PERFORMINGHOMOTOPY, /**< A homotopy according to the main idea of the online active + * set strategy is performed. */ + QPS_HOMOTOPYQPSOLVED, /**< An intermediate QP along the homotopy path was solved. */ + QPS_SOLVED /**< The solution of the actual QP was found. */ +}; + + +/** Summarises all possible types of bounds and constraints. */ +enum SubjectToType +{ + ST_UNBOUNDED, /**< Bound/constraint is unbounded. */ + ST_BOUNDED, /**< Bound/constraint is bounded but not fixed. */ + ST_EQUALITY, /**< Bound/constraint is fixed (implicit equality bound/constraint). */ + ST_UNKNOWN /**< Type of bound/constraint unknown. */ +}; + + +/** Summarises all possible states of bounds and constraints. */ +enum SubjectToStatus +{ + ST_INACTIVE, /**< Bound/constraint is inactive. */ + ST_LOWER, /**< Bound/constraint is at its lower bound. */ + ST_UPPER, /**< Bound/constraint is at its upper bound. */ + ST_UNDEFINED /**< Status of bound/constraint undefined. */ +}; + + +/** Summarises all possible cycling states of bounds and constraints. */ +enum CyclingStatus +{ + CYC_NOT_INVOLVED, /**< Bound/constraint is not involved in current cycling. */ + CYC_PREV_ADDED, /**< Bound/constraint has previously been added during the current cycling. */ + CYC_PREV_REMOVED /**< Bound/constraint has previously been removed during the current cycling. */ +}; + + +/** Summarises all possible types of the QP's Hessian matrix. */ +enum HessianType +{ + HST_SEMIDEF, /**< Hessian is positive semi-definite. */ + HST_POSDEF_NULLSPACE, /**< Hessian is positive definite on null space of active bounds/constraints. */ + HST_POSDEF, /**< Hessian is (strictly) positive definite. */ + HST_IDENTITY /**< Hessian is identity matrix. */ +}; + + + +#endif /* QPOASES_TYPES_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Utils.hpp b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Utils.hpp new file mode 100644 index 0000000..16546a9 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/INCLUDE/Utils.hpp @@ -0,0 +1,197 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file INCLUDE/Utils.hpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of global utility functions for working with qpOASES. + */ + + +#ifndef QPOASES_UTILS_HPP +#define QPOASES_UTILS_HPP + + +#include + + +#ifdef PC_DEBUG /* Define print functions only for debugging! */ + +/** Prints a vector. + * \return SUCCESSFUL_RETURN */ +returnValue print( const real_t* const v, /**< Vector to be printed. */ + int n /**< Length of vector. */ + ); + +/** Prints a permuted vector. + * \return SUCCESSFUL_RETURN */ +returnValue print( const real_t* const v, /**< Vector to be printed. */ + int n, /**< Length of vector. */ + const int* const V_idx /**< Pemutation vector. */ + ); + +/** Prints a named vector. + * \return SUCCESSFUL_RETURN */ +returnValue print( const real_t* const v, /**< Vector to be printed. */ + int n, /**< Length of vector. */ + const char* name /** Name of vector. */ + ); + +/** Prints a matrix. + * \return SUCCESSFUL_RETURN */ +returnValue print( const real_t* const M, /**< Matrix to be printed. */ + int nrow, /**< Row number of matrix. */ + int ncol /**< Column number of matrix. */ + ); + +/** Prints a permuted matrix. + * \return SUCCESSFUL_RETURN */ +returnValue print( const real_t* const M, /**< Matrix to be printed. */ + int nrow, /**< Row number of matrix. */ + int ncol , /**< Column number of matrix. */ + const int* const ROW_idx, /**< Row pemutation vector. */ + const int* const COL_idx /**< Column pemutation vector. */ + ); + +/** Prints a named matrix. + * \return SUCCESSFUL_RETURN */ +returnValue print( const real_t* const M, /**< Matrix to be printed. */ + int nrow, /**< Row number of matrix. */ + int ncol, /**< Column number of matrix. */ + const char* name /** Name of matrix. */ + ); + +/** Prints an index array. + * \return SUCCESSFUL_RETURN */ +returnValue print( const int* const index, /**< Index array to be printed. */ + int n /**< Length of index array. */ + ); + +/** Prints a named index array. + * \return SUCCESSFUL_RETURN */ +returnValue print( const int* const index, /**< Index array to be printed. */ + int n, /**< Length of index array. */ + const char* name /**< Name of index array. */ + ); + + +/** Prints a string to desired output target (useful also for MATLAB output!). + * \return SUCCESSFUL_RETURN */ +returnValue myPrintf( const char* s /**< String to be written. */ + ); + + +/** Prints qpOASES copyright notice. + * \return SUCCESSFUL_RETURN */ +returnValue printCopyrightNotice( ); + + +/** Reads a real_t matrix from file. + * \return SUCCESSFUL_RETURN \n + RET_UNABLE_TO_OPEN_FILE \n + RET_UNABLE_TO_READ_FILE */ +returnValue readFromFile( real_t* data, /**< Matrix to be read from file. */ + int nrow, /**< Row number of matrix. */ + int ncol, /**< Column number of matrix. */ + const char* datafilename /**< Data file name. */ + ); + +/** Reads a real_t vector from file. + * \return SUCCESSFUL_RETURN \n + RET_UNABLE_TO_OPEN_FILE \n + RET_UNABLE_TO_READ_FILE */ +returnValue readFromFile( real_t* data, /**< Vector to be read from file. */ + int n, /**< Length of vector. */ + const char* datafilename /**< Data file name. */ + ); + +/** Reads an integer (column) vector from file. + * \return SUCCESSFUL_RETURN \n + RET_UNABLE_TO_OPEN_FILE \n + RET_UNABLE_TO_READ_FILE */ +returnValue readFromFile( int* data, /**< Vector to be read from file. */ + int n, /**< Length of vector. */ + const char* datafilename /**< Data file name. */ + ); + + +/** Writes a real_t matrix into a file. + * \return SUCCESSFUL_RETURN \n + RET_UNABLE_TO_OPEN_FILE */ +returnValue writeIntoFile( const real_t* const data, /**< Matrix to be written into file. */ + int nrow, /**< Row number of matrix. */ + int ncol, /**< Column number of matrix. */ + const char* datafilename, /**< Data file name. */ + BooleanType append /**< Indicates if data shall be appended if the file already exists (otherwise it is overwritten). */ + ); + +/** Writes a real_t vector into a file. + * \return SUCCESSFUL_RETURN \n + RET_UNABLE_TO_OPEN_FILE */ +returnValue writeIntoFile( const real_t* const data, /**< Vector to be written into file. */ + int n, /**< Length of vector. */ + const char* datafilename, /**< Data file name. */ + BooleanType append /**< Indicates if data shall be appended if the file already exists (otherwise it is overwritten). */ + ); + +/** Writes an integer (column) vector into a file. + * \return SUCCESSFUL_RETURN \n + RET_UNABLE_TO_OPEN_FILE */ +returnValue writeIntoFile( const int* const integer, /**< Integer vector to be written into file. */ + int n, /**< Length of vector. */ + const char* datafilename, /**< Data file name. */ + BooleanType append /**< Indicates if integer shall be appended if the file already exists (otherwise it is overwritten). */ + ); + +#endif /* PC_DEBUG */ + + +/** Returns the current system time. + * \return current system time */ +real_t getCPUtime( ); + + +/** Returns the Euclidean norm of a vector. + * \return 0: successful */ +real_t getNorm( const real_t* const v, /**< Vector. */ + int n /**< Vector's dimension. */ + ); + +/** Returns the absolute value of a real_t. + * \return Absolute value of a real_t */ +inline real_t getAbs( real_t x /**< Input argument. */ + ); + + + +#include + +#endif /* QPOASES_UTILS_HPP */ + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/LICENSE.txt b/mav_modified_rodrigues_nmpc/solver/qpoases/LICENSE.txt new file mode 100644 index 0000000..5faba9d --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/LICENSE.txt @@ -0,0 +1,504 @@ + GNU LESSER GENERAL PUBLIC LICENSE + Version 2.1, February 1999 + + Copyright (C) 1991, 1999 Free Software Foundation, Inc. + 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + +[This is the first released version of the Lesser GPL. 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See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + +Also add information on how to contact you by electronic and paper mail. + +You should also get your employer (if you work as a programmer) or your +school, if any, to sign a "copyright disclaimer" for the library, if +necessary. Here is a sample; alter the names: + + Yoyodyne, Inc., hereby disclaims all copyright interest in the + library `Frob' (a library for tweaking knobs) written by James Random Hacker. + + , 1 April 1990 + Ty Coon, President of Vice + +That's all there is to it! + + diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/README.txt b/mav_modified_rodrigues_nmpc/solver/qpoases/README.txt new file mode 100644 index 0000000..37175d9 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/README.txt @@ -0,0 +1,92 @@ +## +## qpOASES -- An Implementation of the Online Active Set Strategy. +## Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. +## +## qpOASES is free software; you can redistribute it and/or +## modify it under the terms of the GNU Lesser General Public +## License as published by the Free Software Foundation; either +## version 2.1 of the License, or (at your option) any later version. +## +## qpOASES is distributed in the hope that it will be useful, +## but WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## Lesser General Public License for more details. +## +## You should have received a copy of the GNU Lesser General Public +## License along with qpOASES; if not, write to the Free Software +## Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA +## + + + +INTRODUCTION +============= + +qpOASES is an open-source C++ implementation of the recently proposed +online active set strategy (see [1], [2]), which was inspired by important +observations from the field of parametric quadratic programming. It has +several theoretical features that make it particularly suited for model +predictive control (MPC) applications. + +The software package qpOASES implements these ideas and has already been +successfully used for closed-loop control of a real-world Diesel engine [3]. + + +References: + +[1] H.J. Ferreau. An Online Active Set Strategy for Fast Solution of +Parametric Quadratic Programs with Applications to Predictive Engine Control. +Diplom thesis, University of Heidelberg, 2006. + +[2] H.J. Ferreau, H.G. Bock, M. Diehl. An online active set strategy to +overcome the limitations of explicit MPC. International Journal of Robust +and Nonlinear Control, 18 (8), pp. 816-830, 2008. + +[3] H.J. Ferreau, P. Ortner, P. Langthaler, L. del Re, M. Diehl. Predictive +Control of a Real-World Diesel Engine using an Extended Online Active Set +Strategy. Annual Reviews in Control, 31 (2), pp. 293-301, 2007. + + + +GETTING STARTED +================ + +1. For installation, usage and additional information on this software package + see the qpOASES User's Manual located at ./DOC/manual.pdf! + + +2. The file ./LICENSE.txt contains a copy of the GNU Lesser General Public + License. Please read it carefully before using qpOASES! + + +3. The whole software package can be downloaded from + + http://homes.esat.kuleuven.be/~optec/software/qpOASES/ + + On this webpage you will also find a list of frequently asked questions. + + + +CONTACT THE AUTHORS +==================== + +If you have got questions, remarks or comments on qpOASES +please contact the main author: + + Hans Joachim Ferreau + Katholieke Universiteit Leuven + Department of Electrical Engineering (ESAT) + Kasteelpark Arenberg 10, bus 2446 + B-3001 Leuven-Heverlee, Belgium + + Phone: +32 16 32 03 63 + E-mail: joachim.ferreau@esat.kuleuven.be + qpOASES@esat.kuleuven.be + +Also bug reports and source code extensions are most welcome! + + + +## +## end of file +## diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Bounds.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Bounds.cpp new file mode 100644 index 0000000..236ab2f --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Bounds.cpp @@ -0,0 +1,252 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/Bounds.cpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of the Bounds class designed to manage working sets of + * bounds within a QProblem. + */ + + +#include + + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + + +/* + * B o u n d s + */ +Bounds::Bounds( ) : SubjectTo( ), + nV( 0 ), + nFV( 0 ), + nBV( 0 ), + nUV( 0 ) +{ +} + + +/* + * B o u n d s + */ +Bounds::Bounds( const Bounds& rhs ) : SubjectTo( rhs ), + nV( rhs.nV ), + nFV( rhs.nFV ), + nBV( rhs.nBV ), + nUV( rhs.nUV ) +{ + free = rhs.free; + fixed = rhs.fixed; +} + + +/* + * ~ B o u n d s + */ +Bounds::~Bounds( ) +{ +} + + +/* + * o p e r a t o r = + */ +Bounds& Bounds::operator=( const Bounds& rhs ) +{ + if ( this != &rhs ) + { + SubjectTo::operator=( rhs ); + + nV = rhs.nV; + nFV = rhs.nFV; + nBV = rhs.nBV; + nUV = rhs.nUV; + + free = rhs.free; + fixed = rhs.fixed; + } + + return *this; +} + + +/* + * i n i t + */ +returnValue Bounds::init( int n ) +{ + nV = n; + nFV = 0; + nBV = 0; + nUV = 0; + + free.init( ); + fixed.init( ); + + return SubjectTo::init( n ); +} + + +/* + * s e t u p B o u n d + */ +returnValue Bounds::setupBound( int _number, SubjectToStatus _status + ) +{ + /* consistency check */ + if ( ( _number < 0 ) || ( _number >= getNV( ) ) ) + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + + /* Add bound index to respective index list. */ + switch ( _status ) + { + case ST_INACTIVE: + if ( this->addIndex( this->getFree( ),_number,_status ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_BOUND_FAILED ); + break; + + case ST_LOWER: + if ( this->addIndex( this->getFixed( ),_number,_status ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_BOUND_FAILED ); + break; + + case ST_UPPER: + if ( this->addIndex( this->getFixed( ),_number,_status ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_BOUND_FAILED ); + break; + + default: + return THROWERROR( RET_INVALID_ARGUMENTS ); + } + + return SUCCESSFUL_RETURN; +} + + +/* + * s e t u p A l l F r e e + */ +returnValue Bounds::setupAllFree( ) +{ + int i; + + /* 1) Place unbounded variables at the beginning of the index list of free variables. */ + for( i=0; i= getNV( ) ) ) + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + + /* Move index from indexlist of fixed variables to that of free ones. */ + if ( this->removeIndex( this->getFixed( ),_number ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_MOVING_BOUND_FAILED ); + + if ( this->addIndex( this->getFree( ),_number,ST_INACTIVE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_MOVING_BOUND_FAILED ); + + return SUCCESSFUL_RETURN; +} + + +/* + * m o v e F r e e T o F i x e d + */ +returnValue Bounds::moveFreeToFixed( int _number, SubjectToStatus _status + ) +{ + /* consistency check */ + if ( ( _number < 0 ) || ( _number >= getNV( ) ) ) + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + + /* Move index from indexlist of free variables to that of fixed ones. */ + if ( this->removeIndex( this->getFree( ),_number ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_MOVING_BOUND_FAILED ); + + if ( this->addIndex( this->getFixed( ),_number,_status ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_MOVING_BOUND_FAILED ); + + return SUCCESSFUL_RETURN; +} + + +/* + * s w a p F r e e + */ +returnValue Bounds::swapFree( int number1, int number2 + ) +{ + /* consistency check */ + if ( ( number1 < 0 ) || ( number1 >= getNV( ) ) || ( number2 < 0 ) || ( number2 >= getNV( ) ) ) + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + + /* Swap index within indexlist of free variables. */ + return this->swapIndex( this->getFree( ),number1,number2 ); +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Bounds.ipp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Bounds.ipp new file mode 100644 index 0000000..d0e7dbb --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Bounds.ipp @@ -0,0 +1,144 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/Bounds.ipp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of inlined member functions of the Bounds class designed + * to manage working sets of bounds within a QProblem. + */ + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + +/* + * g e t N V + */ +inline int Bounds::getNV( ) const +{ + return nV; +} + + +/* + * g e t N F X + */ +inline int Bounds::getNFV( ) const +{ + return nFV; +} + + +/* + * g e t N B V + */ +inline int Bounds::getNBV( ) const +{ + return nBV; +} + + +/* + * g e t N U V + */ +inline int Bounds::getNUV( ) const +{ + return nUV; +} + + + +/* + * s e t N F X + */ +inline returnValue Bounds::setNFV( int n ) +{ + nFV = n; + return SUCCESSFUL_RETURN; +} + + +/* + * s e t N B V + */ +inline returnValue Bounds::setNBV( int n ) +{ + nBV = n; + return SUCCESSFUL_RETURN; +} + + +/* + * s e t N U V + */ +inline returnValue Bounds::setNUV( int n ) +{ + nUV = n; + return SUCCESSFUL_RETURN; +} + + +/* + * g e t N F R + */ +inline int Bounds::getNFR( ) +{ + return free.getLength( ); +} + + +/* + * g e t N F X + */ +inline int Bounds::getNFX( ) +{ + return fixed.getLength( ); +} + + +/* + * g e t F r e e + */ +inline Indexlist* Bounds::getFree( ) +{ + return &free; +} + + +/* + * g e t F i x e d + */ +inline Indexlist* Bounds::getFixed( ) +{ + return &fixed; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Constraints.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Constraints.cpp new file mode 100644 index 0000000..81fc6ce --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Constraints.cpp @@ -0,0 +1,248 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/Constraints.cpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of the Constraints class designed to manage working sets of + * constraints within a QProblem. + */ + + +#include + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + + +/* + * C o n s t r a i n t s + */ +Constraints::Constraints( ) : SubjectTo( ), + nC( 0 ), + nEC( 0 ), + nIC( 0 ), + nUC( 0 ) +{ +} + + +/* + * C o n s t r a i n t s + */ +Constraints::Constraints( const Constraints& rhs ) : SubjectTo( rhs ), + nC( rhs.nC ), + nEC( rhs.nEC ), + nIC( rhs.nIC ), + nUC( rhs.nUC ) +{ + active = rhs.active; + inactive = rhs.inactive; +} + + +/* + * ~ C o n s t r a i n t s + */ +Constraints::~Constraints( ) +{ +} + + +/* + * o p e r a t o r = + */ +Constraints& Constraints::operator=( const Constraints& rhs ) +{ + if ( this != &rhs ) + { + SubjectTo::operator=( rhs ); + + nC = rhs.nC; + nEC = rhs.nEC; + nIC = rhs.nIC; + nUC = rhs.nUC; + + active = rhs.active; + inactive = rhs.inactive; + } + + return *this; +} + + +/* + * i n i t + */ +returnValue Constraints::init( int n ) +{ + nC = n; + nEC = 0; + nIC = 0; + nUC = 0; + + active.init( ); + inactive.init( ); + + return SubjectTo::init( n ); +} + + +/* + * s e t u p C o n s t r a i n t + */ +returnValue Constraints::setupConstraint( int _number, SubjectToStatus _status + ) +{ + /* consistency check */ + if ( ( _number < 0 ) || ( _number >= getNC( ) ) ) + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + + /* Add constraint index to respective index list. */ + switch ( _status ) + { + case ST_INACTIVE: + if ( this->addIndex( this->getInactive( ),_number,_status ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_CONSTRAINT_FAILED ); + break; + + case ST_LOWER: + if ( this->addIndex( this->getActive( ),_number,_status ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_CONSTRAINT_FAILED ); + break; + + case ST_UPPER: + if ( this->addIndex( this->getActive( ),_number,_status ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_CONSTRAINT_FAILED ); + break; + + default: + return THROWERROR( RET_INVALID_ARGUMENTS ); + } + + return SUCCESSFUL_RETURN; +} + + +/* + * s e t u p A l l I n a c t i v e + */ +returnValue Constraints::setupAllInactive( ) +{ + int i; + + + /* 1) Place unbounded constraints at the beginning of the index list of inactive constraints. */ + for( i=0; i= getNC( ) ) ) + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + + /* Move index from indexlist of active constraints to that of inactive ones. */ + if ( this->removeIndex( this->getActive( ),_number ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_MOVING_BOUND_FAILED ); + + if ( this->addIndex( this->getInactive( ),_number,ST_INACTIVE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_MOVING_BOUND_FAILED ); + + return SUCCESSFUL_RETURN; +} + + +/* + * m o v e I n a c t i v e T o A c t i v e + */ +returnValue Constraints::moveInactiveToActive( int _number, SubjectToStatus _status + ) +{ + /* consistency check */ + if ( ( _number < 0 ) || ( _number >= getNC( ) ) ) + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + + /* Move index from indexlist of inactive constraints to that of active ones. */ + if ( this->removeIndex( this->getInactive( ),_number ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_MOVING_BOUND_FAILED ); + + if ( this->addIndex( this->getActive( ),_number,_status ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_MOVING_BOUND_FAILED ); + + return SUCCESSFUL_RETURN; +} + + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Constraints.ipp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Constraints.ipp new file mode 100644 index 0000000..67add20 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Constraints.ipp @@ -0,0 +1,144 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/Constraints.ipp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Declaration of inlined member functions of the Constraints class designed + * to manage working sets of constraints within a QProblem. + */ + + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + +/* + * g e t N C + */ +inline int Constraints::getNC( ) const +{ + return nC; +} + + +/* + * g e t N E C + */ +inline int Constraints::getNEC( ) const +{ + return nEC; +} + + +/* + * g e t N I C + */ +inline int Constraints::getNIC( ) const +{ + return nIC; +} + + +/* + * g e t N U C + */ +inline int Constraints::getNUC( ) const +{ + return nUC; +} + + +/* + * s e t N E C + */ +inline returnValue Constraints::setNEC( int n ) +{ + nEC = n; + return SUCCESSFUL_RETURN; +} + + +/* + * s e t N I C + */ +inline returnValue Constraints::setNIC( int n ) +{ + nIC = n; + return SUCCESSFUL_RETURN; +} + + +/* + * s e t N U C + */ +inline returnValue Constraints::setNUC( int n ) +{ + nUC = n; + return SUCCESSFUL_RETURN; +} + + +/* + * g e t N A C + */ +inline int Constraints::getNAC( ) +{ + return active.getLength( ); +} + + +/* + * g e t N I A C + */ +inline int Constraints::getNIAC( ) +{ + return inactive.getLength( ); +} + + +/* + * g e t A c t i v e + */ +inline Indexlist* Constraints::getActive( ) +{ + return &active; +} + + +/* + * g e t I n a c t i v e + */ +inline Indexlist* Constraints::getInactive( ) +{ + return &inactive; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/CyclingManager.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/CyclingManager.cpp new file mode 100644 index 0000000..7bbccda --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/CyclingManager.cpp @@ -0,0 +1,188 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/CyclingManager.cpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of the CyclingManager class designed to detect + * and handle possible cycling during QP iterations. + * + */ + + +#include + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + + +/* + * C y c l i n g M a n a g e r + */ +CyclingManager::CyclingManager( ) : nV( 0 ), + nC( 0 ) +{ + cyclingDetected = BT_FALSE; +} + + +/* + * C y c l i n g M a n a g e r + */ +CyclingManager::CyclingManager( const CyclingManager& rhs ) : nV( rhs.nV ), + nC( rhs.nC ), + cyclingDetected( rhs.cyclingDetected ) +{ + int i; + + for( i=0; i= 0 ) && ( number < nV ) ) + { + status[number] = _status; + return SUCCESSFUL_RETURN; + } + else + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + } + else + { + /* Set cycling status of a constraint. */ + if ( ( number >= 0 ) && ( number < nC ) ) + { + status[nV+number] = _status; + return SUCCESSFUL_RETURN; + } + else + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + } +} + + +/* + * g e t C y c l i n g S t a t u s + */ +CyclingStatus CyclingManager::getCyclingStatus( int number, BooleanType isBound ) const +{ + if ( isBound == BT_TRUE ) + { + /* Return cycling status of a bound. */ + if ( ( number >= 0 ) && ( number < nV ) ) + return status[number]; + } + else + { + /* Return cycling status of a constraint. */ + if ( ( number >= 0 ) && ( number < nC ) ) + return status[nV+number]; + } + + return CYC_NOT_INVOLVED; +} + + +/* + * c l e a r C y c l i n g D a t a + */ +returnValue CyclingManager::clearCyclingData( ) +{ + int i; + + /* Reset all status values ... */ + for( i=0; i + +/* + * S o l u t i o n A n a l y s i s + */ +SolutionAnalysis::SolutionAnalysis( ) +{ + +} + +/* + * S o l u t i o n A n a l y s i s + */ +SolutionAnalysis::SolutionAnalysis( const SolutionAnalysis& rhs ) +{ + +} + +/* + * ~ S o l u t i o n A n a l y s i s + */ +SolutionAnalysis::~SolutionAnalysis( ) +{ + +} + +/* + * o p e r a t o r = + */ +SolutionAnalysis& SolutionAnalysis::operator=( const SolutionAnalysis& rhs ) +{ + if ( this != &rhs ) + { + + } + + return *this; +} + +/* + * g e t H e s s i a n I n v e r s e + */ +returnValue SolutionAnalysis::getHessianInverse( QProblem* qp, real_t* hessianInverse ) +{ + returnValue returnvalue; /* the return value */ + BooleanType Delta_bC_isZero = BT_FALSE; /* (just use FALSE here) */ + BooleanType Delta_bB_isZero = BT_FALSE; /* (just use FALSE here) */ + + register int run1, run2, run3; + + register int nFR, nFX; + + /* Ask for the number of free and fixed variables, assumes that active set + * is constant for the covariance evaluation */ + nFR = qp->getNFR( ); + nFX = qp->getNFX( ); + + /* Ask for the corresponding index arrays: */ + if ( qp->bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + if ( qp->bounds.getFixed( )->getNumberArray( FX_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + if ( qp->constraints.getActive( )->getNumberArray( AC_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + /* Initialization: */ + for( run1 = 0; run1 < NVMAX; run1++ ) + delta_g_cov[ run1 ] = 0.0; + + for( run1 = 0; run1 < NVMAX; run1++ ) + delta_lb_cov[ run1 ] = 0.0; + + for( run1 = 0; run1 < NVMAX; run1++ ) + delta_ub_cov[ run1 ] = 0.0; + + for( run1 = 0; run1 < NCMAX; run1++ ) + delta_lbA_cov[ run1 ] = 0.0; + + for( run1 = 0; run1 < NCMAX; run1++ ) + delta_ubA_cov[ run1 ] = 0.0; + + /* The following loop solves the following: + * + * KKT * x = + * [delta_g_cov', delta_lbA_cov', delta_ubA_cov', delta_lb_cov', delta_ub_cov]' + * + * for the first NVMAX (negative) elementary vectors in order to get + * transposed inverse of the Hessian. Assuming that the Hessian is + * symmetric, the function will return transposed inverse, instead of the + * true inverse. + * + * Note, that we use negative elementary vectors due because internal + * implementation of the function hotstart_determineStepDirection requires + * so. + * + * */ + + for( run3 = 0; run3 < NVMAX; run3++ ) + { + /* Line wise loading of the corresponding (negative) elementary vector: */ + delta_g_cov[ run3 ] = -1.0; + + /* Evaluation of the step: */ + returnvalue = qp->hotstart_determineStepDirection( + FR_idx, FX_idx, AC_idx, + delta_g_cov, delta_lbA_cov, delta_ubA_cov, delta_lb_cov, delta_ub_cov, + Delta_bC_isZero, Delta_bB_isZero, + delta_xFX, delta_xFR, delta_yAC, delta_yFX + ); + if ( returnvalue != SUCCESSFUL_RETURN ) + { + return returnvalue; + } + + /* Line wise storage of the QP reaction: */ + for( run1 = 0; run1 < nFR; run1++ ) + { + run2 = FR_idx[ run1 ]; + + hessianInverse[run3 * NVMAX + run2] = delta_xFR[ run1 ]; + } + + for( run1 = 0; run1 < nFX; run1++ ) + { + run2 = FX_idx[ run1 ]; + + hessianInverse[run3 * NVMAX + run2] = delta_xFX[ run1 ]; + } + + /* Prepare for the next iteration */ + delta_g_cov[ run3 ] = 0.0; + } + + // TODO: Perform the transpose of the inverse of the Hessian matrix + + return SUCCESSFUL_RETURN; +} + +/* + * g e t H e s s i a n I n v e r s e + */ +returnValue SolutionAnalysis::getHessianInverse( QProblemB* qp, real_t* hessianInverse ) +{ + returnValue returnvalue; /* the return value */ + BooleanType Delta_bB_isZero = BT_FALSE; /* (just use FALSE here) */ + + register int run1, run2, run3; + + register int nFR, nFX; + + /* Ask for the number of free and fixed variables, assumes that active set + * is constant for the covariance evaluation */ + nFR = qp->getNFR( ); + nFX = qp->getNFX( ); + + /* Ask for the corresponding index arrays: */ + if ( qp->bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + if ( qp->bounds.getFixed( )->getNumberArray( FX_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + /* Initialization: */ + for( run1 = 0; run1 < NVMAX; run1++ ) + delta_g_cov[ run1 ] = 0.0; + + for( run1 = 0; run1 < NVMAX; run1++ ) + delta_lb_cov[ run1 ] = 0.0; + + for( run1 = 0; run1 < NVMAX; run1++ ) + delta_ub_cov[ run1 ] = 0.0; + + /* The following loop solves the following: + * + * KKT * x = + * [delta_g_cov', delta_lb_cov', delta_ub_cov']' + * + * for the first NVMAX (negative) elementary vectors in order to get + * transposed inverse of the Hessian. Assuming that the Hessian is + * symmetric, the function will return transposed inverse, instead of the + * true inverse. + * + * Note, that we use negative elementary vectors due because internal + * implementation of the function hotstart_determineStepDirection requires + * so. + * + * */ + + for( run3 = 0; run3 < NVMAX; run3++ ) + { + /* Line wise loading of the corresponding (negative) elementary vector: */ + delta_g_cov[ run3 ] = -1.0; + + /* Evaluation of the step: */ + returnvalue = qp->hotstart_determineStepDirection( + FR_idx, FX_idx, + delta_g_cov, delta_lb_cov, delta_ub_cov, + Delta_bB_isZero, + delta_xFX, delta_xFR, delta_yFX + ); + if ( returnvalue != SUCCESSFUL_RETURN ) + { + return returnvalue; + } + + /* Line wise storage of the QP reaction: */ + for( run1 = 0; run1 < nFR; run1++ ) + { + run2 = FR_idx[ run1 ]; + + hessianInverse[run3 * NVMAX + run2] = delta_xFR[ run1 ]; + } + + for( run1 = 0; run1 < nFX; run1++ ) + { + run2 = FX_idx[ run1 ]; + + hessianInverse[run3 * NVMAX + run2] = delta_xFX[ run1 ]; + } + + /* Prepare for the next iteration */ + delta_g_cov[ run3 ] = 0.0; + } + + // TODO: Perform the transpose of the inverse of the Hessian matrix + + return SUCCESSFUL_RETURN; +} + +/* + * g e t V a r i a n c e C o v a r i a n c e + */ + +#if QPOASES_USE_OLD_VERSION + +returnValue SolutionAnalysis::getVarianceCovariance( QProblem* qp, real_t* g_b_bA_VAR, real_t* Primal_Dual_VAR ) +{ + int run1, run2, run3; /* simple run variables (for loops). */ + + returnValue returnvalue; /* the return value */ + BooleanType Delta_bC_isZero = BT_FALSE; /* (just use FALSE here) */ + BooleanType Delta_bB_isZero = BT_FALSE; /* (just use FALSE here) */ + + /* ASK FOR THE NUMBER OF FREE AND FIXED VARIABLES: + * (ASSUMES THAT ACTIVE SET IS CONSTANT FOR THE + * VARIANCE-COVARIANCE EVALUATION) + * ----------------------------------------------- */ + int nFR, nFX, nAC; + + nFR = qp->getNFR( ); + nFX = qp->getNFX( ); + nAC = qp->getNAC( ); + + if ( qp->bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + if ( qp->bounds.getFixed( )->getNumberArray( FX_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + if ( qp->constraints.getActive( )->getNumberArray( AC_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + /* SOME INITIALIZATIONS: + * --------------------- */ + for( run1 = 0; run1 < KKT_DIM * KKT_DIM; run1++ ) + { + K [run1] = 0.0; + Primal_Dual_VAR[run1] = 0.0; + } + + /* ================================================================= */ + + /* FIRST MATRIX MULTIPLICATION (OBTAINS THE INTERMEDIATE RESULT + * K := [ ("ACTIVE" KKT-MATRIX OF THE QP)^(-1) * g_b_bA_VAR ]^T ) + * THE EVALUATION OF THE INVERSE OF THE KKT-MATRIX OF THE QP + * WITH RESPECT TO THE CURRENT ACTIVE SET + * USES THE EXISTING CHOLESKY AND TQ-DECOMPOSITIONS. FOR DETAILS + * cf. THE (protected) FUNCTION determineStepDirection. */ + + for( run3 = 0; run3 < KKT_DIM; run3++ ) + { + + for( run1 = 0; run1 < NVMAX; run1++ ) + { + delta_g_cov [run1] = g_b_bA_VAR[run3*KKT_DIM+run1]; + delta_lb_cov [run1] = g_b_bA_VAR[run3*KKT_DIM+NVMAX+run1]; /* LINE-WISE LOADING OF THE INPUT */ + delta_ub_cov [run1] = g_b_bA_VAR[run3*KKT_DIM+NVMAX+run1]; /* VARIANCE-COVARIANCE */ + } + for( run1 = 0; run1 < NCMAX; run1++ ) + { + delta_lbA_cov [run1] = g_b_bA_VAR[run3*KKT_DIM+2*NVMAX+run1]; + delta_ubA_cov [run1] = g_b_bA_VAR[run3*KKT_DIM+2*NVMAX+run1]; + } + + /* EVALUATION OF THE STEP: + * ------------------------------------------------------------------------------ */ + + returnvalue = qp->hotstart_determineStepDirection( + FR_idx, FX_idx, AC_idx, + delta_g_cov, delta_lbA_cov, delta_ubA_cov, delta_lb_cov, delta_ub_cov, + Delta_bC_isZero, Delta_bB_isZero, delta_xFX,delta_xFR, + delta_yAC,delta_yFX ); + + /* ------------------------------------------------------------------------------ */ + + /* STOP THE ALGORITHM IN THE CASE OF NO SUCCESFUL RETURN: + * ------------------------------------------------------ */ + if ( returnvalue != SUCCESSFUL_RETURN ) + { + return returnvalue; + } + + /* LINE WISE */ + /* STORAGE OF THE QP-REACTION */ + /* (uses the index list) */ + + for( run1=0; run1hotstart_determineStepDirection( + FR_idx, FX_idx, AC_idx, + delta_g_cov, delta_lbA_cov, delta_ubA_cov, delta_lb_cov, delta_ub_cov, + Delta_bC_isZero, Delta_bB_isZero, delta_xFX,delta_xFR, + delta_yAC,delta_yFX ); + + /* ------------------------------------------------------------------------------ */ + + /* STOP THE ALGORITHM IN THE CASE OF NO SUCCESFUL RETURN: + * ------------------------------------------------------ */ + if ( returnvalue != SUCCESSFUL_RETURN ) + { + return returnvalue; + } + + /* ROW-WISE STORAGE */ + /* OF THE RESULT. */ + + for( run1=0; run1 + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + + +/* + * I n d e x l i s t + */ +Indexlist::Indexlist( ) : length( 0 ), + first( -1 ), + last( -1 ), + lastusedindex( -1 ), + physicallength( INDEXLISTFACTOR*(NVMAX+NCMAX) ) +{ + int i; + + for( i=0; i= 0 ) && ( number[n] >= 0 ) ) + numberarray[i] = number[n]; + else + return THROWERROR( RET_INDEXLIST_CORRUPTED ); + + n = next[n]; + } + + return SUCCESSFUL_RETURN; +} + + +/* + * g e t I n d e x + */ +int Indexlist::getIndex( int givennumber ) const +{ + int i; + int n = first; + int index = -1; /* return -1 by default */ + + /* Run trough indexlist until number is found, if so return it index. */ + for ( i=0; i length ) ) + return -RET_INDEXLIST_OUTOFBOUNDS; + + return number[physicalindex]; +} + + +/* + * g e t L e n g t h + */ +inline int Indexlist::getLength( ) +{ + return length; +} + + +/* + * g e t L a s t N u m b e r + */ +inline int Indexlist::getLastNumber( ) const +{ + return number[last]; +} + + +/* + * g e t L a s t N u m b e r + */ +inline BooleanType Indexlist::isMember( int _number ) const +{ + if ( getIndex( _number ) >= 0 ) + return BT_TRUE; + else + return BT_FALSE; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/MessageHandling.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/MessageHandling.cpp new file mode 100644 index 0000000..6e68cd8 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/MessageHandling.cpp @@ -0,0 +1,529 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/MessageHandling.cpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of the MessageHandling class including global return values. + * + */ + + + +#include +#include + + + + +/** Defines pairs of global return values and messages. */ +MessageHandling::ReturnValueList returnValueList[] = +{ +/* miscellaneous */ +{ SUCCESSFUL_RETURN, "Successful return", VS_VISIBLE }, +{ RET_DIV_BY_ZERO, "Division by zero", VS_VISIBLE }, +{ RET_INDEX_OUT_OF_BOUNDS, "Index out of bounds", VS_VISIBLE }, +{ RET_INVALID_ARGUMENTS, "At least one of the arguments is invalid", VS_VISIBLE }, +{ RET_ERROR_UNDEFINED, "Error number undefined", VS_VISIBLE }, +{ RET_WARNING_UNDEFINED, "Warning number undefined", VS_VISIBLE }, +{ RET_INFO_UNDEFINED, "Info number undefined", VS_VISIBLE }, +{ RET_EWI_UNDEFINED, "Error/warning/info number undefined", VS_VISIBLE }, +{ RET_AVAILABLE_WITH_LINUX_ONLY, "This function is available under Linux only", VS_HIDDEN }, +{ RET_UNKNOWN_BUG, "The error occured is not yet known", VS_VISIBLE }, +{ RET_PRINTLEVEL_CHANGED, "Print level changed", VS_VISIBLE }, +{ RET_NOT_YET_IMPLEMENTED, "Requested function is not yet implemented.", VS_VISIBLE }, +/* Indexlist */ +{ RET_INDEXLIST_MUST_BE_REORDERD, "Index list has to be reordered", VS_VISIBLE }, +{ RET_INDEXLIST_EXCEEDS_MAX_LENGTH, "Index list exceeds its maximal physical length", VS_VISIBLE }, +{ RET_INDEXLIST_CORRUPTED, "Index list corrupted", VS_VISIBLE }, +{ RET_INDEXLIST_OUTOFBOUNDS, "Physical index is out of bounds", VS_VISIBLE }, +{ RET_INDEXLIST_ADD_FAILED, "Adding indices from another index set failed", VS_VISIBLE }, +{ RET_INDEXLIST_INTERSECT_FAILED, "Intersection with another index set failed", VS_VISIBLE }, +/* SubjectTo / Bounds / Constraints */ +{ RET_INDEX_ALREADY_OF_DESIRED_STATUS, "Index is already of desired status", VS_VISIBLE }, +{ RET_SWAPINDEX_FAILED, "Cannot swap between different indexsets", VS_VISIBLE }, +{ RET_ADDINDEX_FAILED, "Adding index to index set failed", VS_VISIBLE }, +{ RET_NOTHING_TO_DO, "Nothing to do", VS_VISIBLE }, +{ RET_SETUP_BOUND_FAILED, "Setting up bound index failed", VS_VISIBLE }, +{ RET_SETUP_CONSTRAINT_FAILED, "Setting up constraint index failed", VS_VISIBLE }, +{ RET_MOVING_BOUND_FAILED, "Moving bound between index sets failed", VS_VISIBLE }, +{ RET_MOVING_CONSTRAINT_FAILED, "Moving constraint between index sets failed", VS_VISIBLE }, +/* QProblem */ +{ RET_QP_ALREADY_INITIALISED, "QProblem has already been initialised", VS_VISIBLE }, +{ RET_NO_INIT_WITH_STANDARD_SOLVER, "Initialisation via extern QP solver is not yet implemented", VS_VISIBLE }, +{ RET_RESET_FAILED, "Reset failed", VS_VISIBLE }, +{ RET_INIT_FAILED, "Initialisation failed", VS_VISIBLE }, +{ RET_INIT_FAILED_TQ, "Initialisation failed due to TQ factorisation", VS_VISIBLE }, +{ RET_INIT_FAILED_CHOLESKY, "Initialisation failed due to Cholesky decomposition", VS_VISIBLE }, +{ RET_INIT_FAILED_HOTSTART, "Initialisation failed! QP could not be solved!", VS_VISIBLE }, +{ RET_INIT_FAILED_INFEASIBILITY, "Initial QP could not be solved due to infeasibility!", VS_VISIBLE }, +{ RET_INIT_FAILED_UNBOUNDEDNESS, "Initial QP could not be solved due to unboundedness!", VS_VISIBLE }, +{ RET_INIT_SUCCESSFUL, "Initialisation done", VS_VISIBLE }, +{ RET_OBTAINING_WORKINGSET_FAILED, "Failed to obtain working set for auxiliary QP", VS_VISIBLE }, +{ RET_SETUP_WORKINGSET_FAILED, "Failed to setup working set for auxiliary QP", VS_VISIBLE }, +{ RET_SETUP_AUXILIARYQP_FAILED, "Failed to setup auxiliary QP for initialised homotopy", VS_VISIBLE }, +{ RET_NO_EXTERN_SOLVER, "No extern QP solver available", VS_VISIBLE }, +{ RET_QP_UNBOUNDED, "QP is unbounded", VS_VISIBLE }, +{ RET_QP_INFEASIBLE, "QP is infeasible", VS_VISIBLE }, +{ RET_QP_NOT_SOLVED, "Problems occured while solving QP with standard solver", VS_VISIBLE }, +{ RET_QP_SOLVED, "QP successfully solved", VS_VISIBLE }, +{ RET_UNABLE_TO_SOLVE_QP, "Problems occured while solving QP", VS_VISIBLE }, +{ RET_INITIALISATION_STARTED, "Starting problem initialisation...", VS_VISIBLE }, +{ RET_HOTSTART_FAILED, "Unable to perform homotopy due to internal error", VS_VISIBLE }, +{ RET_HOTSTART_FAILED_TO_INIT, "Unable to initialise problem", VS_VISIBLE }, +{ RET_HOTSTART_FAILED_AS_QP_NOT_INITIALISED, "Unable to perform homotopy as previous QP is not solved", VS_VISIBLE }, +{ RET_ITERATION_STARTED, "Iteration", VS_VISIBLE }, +{ RET_SHIFT_DETERMINATION_FAILED, "Determination of shift of the QP data failed", VS_VISIBLE }, +{ RET_STEPDIRECTION_DETERMINATION_FAILED, "Determination of step direction failed", VS_VISIBLE }, +{ RET_STEPLENGTH_DETERMINATION_FAILED, "Determination of step direction failed", VS_VISIBLE }, +{ RET_OPTIMAL_SOLUTION_FOUND, "Optimal solution of neighbouring QP found", VS_VISIBLE }, +{ RET_HOMOTOPY_STEP_FAILED, "Unable to perform homotopy step", VS_VISIBLE }, +{ RET_HOTSTART_STOPPED_INFEASIBILITY, "Premature homotopy termination because QP is infeasible", VS_VISIBLE }, +{ RET_HOTSTART_STOPPED_UNBOUNDEDNESS, "Premature homotopy termination because QP is unbounded", VS_VISIBLE }, +{ RET_WORKINGSET_UPDATE_FAILED, "Unable to update working sets according to initial guesses", VS_VISIBLE }, +{ RET_MAX_NWSR_REACHED, "Maximum number of working set recalculations performed", VS_VISIBLE }, +{ RET_CONSTRAINTS_NOT_SPECIFIED, "Problem does comprise constraints! You have to specify new constraints' bounds", VS_VISIBLE }, +{ RET_INVALID_FACTORISATION_FLAG, "Invalid factorisation flag", VS_VISIBLE }, +{ RET_UNABLE_TO_SAVE_QPDATA, "Unable to save QP data", VS_VISIBLE }, +{ RET_STEPDIRECTION_FAILED_TQ, "Abnormal termination due to TQ factorisation", VS_VISIBLE }, +{ RET_STEPDIRECTION_FAILED_CHOLESKY, "Abnormal termination due to Cholesky factorisation", VS_VISIBLE }, +{ RET_CYCLING_DETECTED, "Cycling detected", VS_VISIBLE }, +{ RET_CYCLING_NOT_RESOLVED, "Cycling cannot be resolved, QP is probably infeasible", VS_VISIBLE }, +{ RET_CYCLING_RESOLVED, "Cycling probably resolved", VS_VISIBLE }, +{ RET_STEPSIZE, "", VS_VISIBLE }, +{ RET_STEPSIZE_NONPOSITIVE, "", VS_VISIBLE }, +{ RET_SETUPSUBJECTTOTYPE_FAILED, "Setup of SubjectToTypes failed", VS_VISIBLE }, +{ RET_ADDCONSTRAINT_FAILED, "Addition of constraint to working set failed", VS_VISIBLE }, +{ RET_ADDCONSTRAINT_FAILED_INFEASIBILITY, "Addition of constraint to working set failed", VS_VISIBLE }, +{ RET_ADDBOUND_FAILED, "Addition of bound to working set failed", VS_VISIBLE }, +{ RET_ADDBOUND_FAILED_INFEASIBILITY, "Addition of bound to working set failed", VS_VISIBLE }, +{ RET_REMOVECONSTRAINT_FAILED, "Removal of constraint from working set failed", VS_VISIBLE }, +{ RET_REMOVEBOUND_FAILED, "Removal of bound from working set failed", VS_VISIBLE }, +{ RET_REMOVE_FROM_ACTIVESET, "Removing from active set:", VS_VISIBLE }, +{ RET_ADD_TO_ACTIVESET, "Adding to active set:", VS_VISIBLE }, +{ RET_REMOVE_FROM_ACTIVESET_FAILED, "Removing from active set failed", VS_VISIBLE }, +{ RET_ADD_TO_ACTIVESET_FAILED, "Adding to active set failed", VS_VISIBLE }, +{ RET_CONSTRAINT_ALREADY_ACTIVE, "Constraint is already active", VS_VISIBLE }, +{ RET_ALL_CONSTRAINTS_ACTIVE, "All constraints are active, no further constraint can be added", VS_VISIBLE }, +{ RET_LINEARLY_DEPENDENT, "New bound/constraint is linearly dependent", VS_VISIBLE }, +{ RET_LINEARLY_INDEPENDENT, "New bound/constraint is linearly independent", VS_VISIBLE }, +{ RET_LI_RESOLVED, "Linear independence of active contraint matrix successfully resolved", VS_VISIBLE }, +{ RET_ENSURELI_FAILED, "Failed to ensure linear indepence of active contraint matrix", VS_VISIBLE }, +{ RET_ENSURELI_FAILED_TQ, "Abnormal termination due to TQ factorisation", VS_VISIBLE }, +{ RET_ENSURELI_FAILED_NOINDEX, "No index found, QP is probably infeasible", VS_VISIBLE }, +{ RET_ENSURELI_FAILED_CYCLING, "Cycling detected, QP is probably infeasible", VS_VISIBLE }, +{ RET_BOUND_ALREADY_ACTIVE, "Bound is already active", VS_VISIBLE }, +{ RET_ALL_BOUNDS_ACTIVE, "All bounds are active, no further bound can be added", VS_VISIBLE }, +{ RET_CONSTRAINT_NOT_ACTIVE, "Constraint is not active", VS_VISIBLE }, +{ RET_BOUND_NOT_ACTIVE, "Bound is not active", VS_VISIBLE }, +{ RET_HESSIAN_NOT_SPD, "Projected Hessian matrix not positive definite", VS_VISIBLE }, +{ RET_MATRIX_SHIFT_FAILED, "Unable to update matrices or to transform vectors", VS_VISIBLE }, +{ RET_MATRIX_FACTORISATION_FAILED, "Unable to calculate new matrix factorisations", VS_VISIBLE }, +{ RET_PRINT_ITERATION_FAILED, "Unable to print information on current iteration", VS_VISIBLE }, +{ RET_NO_GLOBAL_MESSAGE_OUTPUTFILE, "No global message output file initialised", VS_VISIBLE }, +/* Utils */ +{ RET_UNABLE_TO_OPEN_FILE, "Unable to open file", VS_VISIBLE }, +{ RET_UNABLE_TO_WRITE_FILE, "Unable to write into file", VS_VISIBLE }, +{ RET_UNABLE_TO_READ_FILE, "Unable to read from file", VS_VISIBLE }, +{ RET_FILEDATA_INCONSISTENT, "File contains inconsistent data", VS_VISIBLE }, +/* SolutionAnalysis */ +{ RET_NO_SOLUTION, "QP solution does not satisfy KKT optimality conditions", VS_VISIBLE }, +{ RET_INACCURATE_SOLUTION, "KKT optimality conditions not satisfied to sufficient accuracy", VS_VISIBLE }, +{ TERMINAL_LIST_ELEMENT, "", VS_HIDDEN } /* IMPORTANT: Terminal list element! */ +}; + + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + + +/* + * M e s s a g e H a n d l i n g + */ +MessageHandling::MessageHandling( ) : errorVisibility( VS_VISIBLE ), + warningVisibility( VS_VISIBLE ), + infoVisibility( VS_VISIBLE ), + outputFile( myStdout ), + errorCount( 0 ) +{ +} + +/* + * M e s s a g e H a n d l i n g + */ +MessageHandling::MessageHandling( myFILE* _outputFile ) : + errorVisibility( VS_VISIBLE ), + warningVisibility( VS_VISIBLE ), + infoVisibility( VS_VISIBLE ), + outputFile( _outputFile ), + errorCount( 0 ) +{ +} + +/* + * M e s s a g e H a n d l i n g + */ +MessageHandling::MessageHandling( VisibilityStatus _errorVisibility, + VisibilityStatus _warningVisibility, + VisibilityStatus _infoVisibility + ) : + errorVisibility( _errorVisibility ), + warningVisibility( _warningVisibility ), + infoVisibility( _infoVisibility ), + outputFile( myStderr ), + errorCount( 0 ) +{ +} + +/* + * M e s s a g e H a n d l i n g + */ +MessageHandling::MessageHandling( myFILE* _outputFile, + VisibilityStatus _errorVisibility, + VisibilityStatus _warningVisibility, + VisibilityStatus _infoVisibility + ) : + errorVisibility( _errorVisibility ), + warningVisibility( _warningVisibility ), + infoVisibility( _infoVisibility ), + outputFile( _outputFile ), + errorCount( 0 ) +{ +} + + + +/* + * M e s s a g e H a n d l i n g + */ +MessageHandling::MessageHandling( const MessageHandling& rhs ) : + errorVisibility( rhs.errorVisibility ), + warningVisibility( rhs.warningVisibility ), + infoVisibility( rhs.infoVisibility ), + outputFile( rhs.outputFile ), + errorCount( rhs.errorCount ) +{ +} + + +/* + * ~ M e s s a g e H a n d l i n g + */ +MessageHandling::~MessageHandling( ) +{ + #ifdef PC_DEBUG + if ( outputFile != 0 ) + fclose( outputFile ); + #endif +} + + +/* + * o p e r a t o r = + */ +MessageHandling& MessageHandling::operator=( const MessageHandling& rhs ) +{ + if ( this != &rhs ) + { + errorVisibility = rhs.errorVisibility; + warningVisibility = rhs.warningVisibility; + infoVisibility = rhs.infoVisibility; + outputFile = rhs.outputFile; + errorCount = rhs.errorCount; + } + + return *this; +} + + +/* + * t h r o w E r r o r + */ +returnValue MessageHandling::throwError( + returnValue Enumber, + const char* additionaltext, + const char* functionname, + const char* filename, + const unsigned long linenumber, + VisibilityStatus localVisibilityStatus + ) +{ + /* consistency check */ + if ( Enumber <= SUCCESSFUL_RETURN ) + return throwError( RET_ERROR_UNDEFINED,0,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + + /* Call to common throwMessage function if error shall be displayed. */ + if ( errorVisibility == VS_VISIBLE ) + return throwMessage( Enumber,additionaltext,functionname,filename,linenumber,localVisibilityStatus,"ERROR" ); + else + return Enumber; +} + + +/* + * t h r o w W a r n i n g + */ +returnValue MessageHandling::throwWarning( + returnValue Wnumber, + const char* additionaltext, + const char* functionname, + const char* filename, + const unsigned long linenumber, + VisibilityStatus localVisibilityStatus + ) +{ + /* consistency check */ + if ( Wnumber <= SUCCESSFUL_RETURN ) + return throwError( RET_WARNING_UNDEFINED,0,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + + /* Call to common throwMessage function if warning shall be displayed. */ + if ( warningVisibility == VS_VISIBLE ) + return throwMessage( Wnumber,additionaltext,functionname,filename,linenumber,localVisibilityStatus,"WARNING" ); + else + return Wnumber; +} + + +/* + * t h r o w I n f o + */ +returnValue MessageHandling::throwInfo( + returnValue Inumber, + const char* additionaltext, + const char* functionname, + const char* filename, + const unsigned long linenumber, + VisibilityStatus localVisibilityStatus + ) +{ + /* consistency check */ + if ( Inumber < SUCCESSFUL_RETURN ) + return throwError( RET_INFO_UNDEFINED,0,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + + /* Call to common throwMessage function if info shall be displayed. */ + if ( infoVisibility == VS_VISIBLE ) + return throwMessage( Inumber,additionaltext,functionname,filename,linenumber,localVisibilityStatus,"INFO" ); + else + return Inumber; +} + + +/* + * r e s e t + */ +returnValue MessageHandling::reset( ) +{ + setErrorVisibilityStatus( VS_VISIBLE ); + setWarningVisibilityStatus( VS_VISIBLE ); + setInfoVisibilityStatus( VS_VISIBLE ); + + setOutputFile( myStderr ); + setErrorCount( 0 ); + + return SUCCESSFUL_RETURN; +} + + +/* + * l i s t A l l M e s s a g e s + */ +returnValue MessageHandling::listAllMessages( ) +{ + #ifdef PC_DEBUG + int keypos = 0; + char myPrintfString[160]; + + /* Run through whole returnValueList and print each item. */ + while ( returnValueList[keypos].key != TERMINAL_LIST_ELEMENT ) + { + sprintf( myPrintfString," %d - %s \n",keypos,returnValueList[keypos].data ); + myPrintf( myPrintfString ); + + ++keypos; + } + #endif + + return SUCCESSFUL_RETURN; +} + + + +/***************************************************************************** + * P R O T E C T E D * + *****************************************************************************/ + + +#ifdef PC_DEBUG /* Re-define throwMessage function for embedded code! */ + +/* + * t h r o w M e s s a g e + */ +returnValue MessageHandling::throwMessage( + returnValue RETnumber, + const char* additionaltext, + const char* functionname, + const char* filename, + const unsigned long linenumber, + VisibilityStatus localVisibilityStatus, + const char* RETstring + ) +{ + int i; + + int keypos = 0; + char myPrintfString[160]; + + /* 1) Determine number of whitespace for output. */ + char whitespaces[41]; + int numberOfWhitespaces = (errorCount-1)*2; + + if ( numberOfWhitespaces < 0 ) + numberOfWhitespaces = 0; + + if ( numberOfWhitespaces > 40 ) + numberOfWhitespaces = 40; + + for( i=0; i 0 ) + { + sprintf( myPrintfString,"%s->", whitespaces ); + myPrintf( myPrintfString ); + } + + if ( additionaltext == 0 ) + { + sprintf( myPrintfString,"%s (%s, %s:%d): \t%s\n", + RETstring,functionname,filename,(int)linenumber,returnValueList[keypos].data + ); + myPrintf( myPrintfString ); + } + else + { + sprintf( myPrintfString,"%s (%s, %s:%d): \t%s %s\n", + RETstring,functionname,filename,(int)linenumber,returnValueList[keypos].data,additionaltext + ); + myPrintf( myPrintfString ); + } + + /* take care of proper indention for subsequent error messages */ + if ( RETstring[0] == 'E' ) + { + ++errorCount; + } + else + { + if ( errorCount > 0 ) + myPrintf( "\n" ); + errorCount = 0; + } + } + + return RETnumber; +} + +#else /* = PC_DEBUG not defined */ + +/* + * t h r o w M e s s a g e + */ +returnValue MessageHandling::throwMessage( + returnValue RETnumber, + const char* additionaltext, + const char* functionname, + const char* filename, + const unsigned long linenumber, + VisibilityStatus localVisibilityStatus, + const char* RETstring + ) +{ + /* DUMMY CODE FOR PRETENDING USE OF ARGUMENTS + * FOR SUPPRESSING COMPILER WARNINGS! */ + int i = 0; + if ( additionaltext == 0 ) i++; + if ( functionname == 0 ) i++; + if ( filename == 0 ) i++; + if ( linenumber == 0 ) i++; + if ( localVisibilityStatus == VS_VISIBLE ) i++; + if ( RETstring == 0 ) i++; + /* END OF DUMMY CODE */ + + return RETnumber; +} + +#endif /* PC_DEBUG */ + + + +/***************************************************************************** + * G L O B A L M E S S A G E H A N D L E R * + *****************************************************************************/ + + +/** Global message handler for all qpOASES modules.*/ +MessageHandling globalMessageHandler( myStderr,VS_VISIBLE,VS_VISIBLE,VS_VISIBLE ); + + +/* + * g e t G l o b a l M e s s a g e H a n d l e r + */ +MessageHandling* getGlobalMessageHandler( ) +{ + return &globalMessageHandler; +} + +const char* MessageHandling::getErrorString(int error) +{ + return returnValueList[ error ].data; +} + + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/MessageHandling.ipp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/MessageHandling.ipp new file mode 100644 index 0000000..ad9624b --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/MessageHandling.ipp @@ -0,0 +1,137 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/MessageHandling.ipp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of inlined member functions of the MessageHandling class. + */ + + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + +/* + * g e t E r r o r V i s i b i l i t y S t a t u s + */ +inline VisibilityStatus MessageHandling::getErrorVisibilityStatus( ) const +{ + return errorVisibility; +} + + +/* + * g e t W a r n i n g V i s i b i l i t y S t a t u s + */ +inline VisibilityStatus MessageHandling::getWarningVisibilityStatus( ) const +{ + return warningVisibility; +} + + +/* + * g e t I n f o V i s i b i l i t y S t a t u s + */ +inline VisibilityStatus MessageHandling::getInfoVisibilityStatus( ) const +{ + return infoVisibility; +} + + +/* + * g e t O u t p u t F i l e + */ +inline myFILE* MessageHandling::getOutputFile( ) const +{ + return outputFile; +} + + +/* + * g e t E r r o r C o u n t + */ +inline int MessageHandling::getErrorCount( ) const +{ + return errorCount; +} + + +/* + * s e t E r r o r V i s i b i l i t y S t a t u s + */ +inline void MessageHandling::setErrorVisibilityStatus( VisibilityStatus _errorVisibility ) +{ + errorVisibility = _errorVisibility; +} + + +/* + * s e t W a r n i n g V i s i b i l i t y S t a t u s + */ +inline void MessageHandling::setWarningVisibilityStatus( VisibilityStatus _warningVisibility ) +{ + warningVisibility = _warningVisibility; +} + + +/* + * s e t I n f o V i s i b i l i t y S t a t u s + */ +inline void MessageHandling::setInfoVisibilityStatus( VisibilityStatus _infoVisibility ) +{ + infoVisibility = _infoVisibility; +} + + +/* + * s e t O u t p u t F i l e + */ +inline void MessageHandling::setOutputFile( myFILE* _outputFile ) +{ + outputFile = _outputFile; +} + + +/* + * s e t E r r o r C o u n t + */ +inline returnValue MessageHandling::setErrorCount( int _errorCount ) +{ + if ( _errorCount >= 0 ) + { + errorCount = _errorCount; + return SUCCESSFUL_RETURN; + } + else + return RET_INVALID_ARGUMENTS; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblem.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblem.cpp new file mode 100644 index 0000000..68a6a79 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblem.cpp @@ -0,0 +1,3867 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/QProblem.cpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of the QProblem class which is able to use the newly + * developed online active set strategy for parametric quadratic programming. + */ + + +#include + +#include + +void printmatrix2(char *name, double *A, int m, int n) { + int i, j; + + printf("%s = [...\n", name); + for (i = 0; i < m; i++) { + for (j = 0; j < n; j++) + printf(" % 9.4f", A[i*n+j]); + printf(",\n"); + } + printf("];\n"); +} + +//#define __PERFORM_KKT_TEST__ + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + + +/* + * Q P r o b l e m + */ +QProblem::QProblem( ) : QProblemB( ) +{ + constraints.init( 0 ); + + sizeT = 0; + + cyclingManager.init( 0,0 ); +} + + +/* + * Q P r o b l e m + */ +QProblem::QProblem( int _nV, int _nC ) : QProblemB( _nV ) +{ + /* consistency checks */ + if ( _nV <= 0 ) + _nV = 1; + + if ( _nC < 0 ) + { + _nC = 0; + THROWERROR( RET_INVALID_ARGUMENTS ); + } + + constraints.init( _nC ); + + + sizeT = _nC; + if ( _nC > _nV ) + sizeT = _nV; + + cyclingManager.init( _nV,_nC ); +} + + +/* + * Q P r o b l e m + */ +QProblem::QProblem( const QProblem& rhs ) : QProblemB( rhs ) +{ + int i, j; + + int _nV = rhs.bounds.getNV( ); + int _nC = rhs.constraints.getNC( ); + + for( i=0; i<_nC; ++i ) + for( j=0; j<_nV; ++j ) + A[i*NVMAX + j] = rhs.A[i*NVMAX + j]; + + for( i=0; i<_nC; ++i ) + lbA[i] = rhs.lbA[i]; + + for( i=0; i<_nC; ++i ) + ubA[i] = rhs.ubA[i]; + + constraints = rhs.constraints; + + for( i=0; i<(_nV+_nC); ++i ) + y[i] = rhs.y[i]; + + + sizeT = rhs.sizeT; + + for( i=0; ithrowInfo( RET_ITERATION_STARTED,messageString,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + #endif + } + + /* 1) Setup index arrays. */ + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + if ( bounds.getFixed( )->getNumberArray( FX_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + if ( constraints.getActive( )->getNumberArray( AC_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + if ( constraints.getInactive( )->getNumberArray( IAC_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + /* 2) Detemination of shift direction of the gradient and the (constraints') bounds. */ + returnvalue = hotstart_determineDataShift( FX_idx, AC_idx, + g_new,lbA_new,ubA_new,lb_new,ub_new, + delta_g,delta_lbA,delta_ubA,delta_lb,delta_ub, + Delta_bC_isZero, Delta_bB_isZero ); + if ( returnvalue != SUCCESSFUL_RETURN ) + { + nWSR = l; + THROWERROR( RET_SHIFT_DETERMINATION_FAILED ); + return returnvalue; + } + + /* 3) Determination of step direction of X and Y. */ + returnvalue = hotstart_determineStepDirection( FR_idx,FX_idx,AC_idx, + delta_g,delta_lbA,delta_ubA,delta_lb,delta_ub, + Delta_bC_isZero, Delta_bB_isZero, + delta_xFX,delta_xFR,delta_yAC,delta_yFX + ); + if ( returnvalue != SUCCESSFUL_RETURN ) + { + nWSR = l; + THROWERROR( RET_STEPDIRECTION_DETERMINATION_FAILED ); + return returnvalue; + } + + /* 4) Determination of step length TAU. */ + returnvalue = hotstart_determineStepLength( FR_idx,FX_idx,AC_idx,IAC_idx, + delta_lbA,delta_ubA,delta_lb,delta_ub, + delta_xFX,delta_xFR,delta_yAC,delta_yFX,delta_Ax, + BC_idx,BC_status,BC_isBound + ); + if ( returnvalue != SUCCESSFUL_RETURN ) + { + nWSR = l; + THROWERROR( RET_STEPLENGTH_DETERMINATION_FAILED ); + return returnvalue; + } + + /* 5) Realisation of the homotopy step. */ + returnvalue = hotstart_performStep( FR_idx,FX_idx,AC_idx,IAC_idx, + delta_g,delta_lbA,delta_ubA,delta_lb,delta_ub, + delta_xFX,delta_xFR,delta_yAC,delta_yFX,delta_Ax, + BC_idx,BC_status,BC_isBound + ); + + if ( returnvalue != SUCCESSFUL_RETURN ) + { + nWSR = l; + + /* stop runtime measurement */ + if ( cputime != 0 ) + *cputime = getCPUtime( ) - starttime; + + /* optimal solution found? */ + if ( returnvalue == RET_OPTIMAL_SOLUTION_FOUND ) + { + status = QPS_SOLVED; + + if ( printlevel == PL_HIGH ) + THROWINFO( RET_OPTIMAL_SOLUTION_FOUND ); + + #ifdef PC_DEBUG + if ( printIteration( l,BC_idx,BC_status,BC_isBound ) != SUCCESSFUL_RETURN ) + THROWERROR( RET_PRINT_ITERATION_FAILED ); /* do not pass this as return value! */ + #endif + + /* check KKT optimality conditions */ + return checkKKTconditions( ); + } + else + { + /* checks for infeasibility... */ + if ( isInfeasible( ) == BT_TRUE ) + { + status = QPS_HOMOTOPYQPSOLVED; + return THROWERROR( RET_HOTSTART_STOPPED_INFEASIBILITY ); + } + + /* ...unboundedness... */ + if ( unbounded == BT_TRUE ) /* not necessary since objective function convex! */ + return THROWERROR( RET_HOTSTART_STOPPED_UNBOUNDEDNESS ); + + /* ... and throw unspecific error otherwise */ + THROWERROR( RET_HOMOTOPY_STEP_FAILED ); + return returnvalue; + } + } + + /* 6) Output information of successful QP iteration. */ + status = QPS_HOMOTOPYQPSOLVED; + + #ifdef PC_DEBUG + if ( printIteration( l,BC_idx,BC_status,BC_isBound ) != SUCCESSFUL_RETURN ) + THROWERROR( RET_PRINT_ITERATION_FAILED ); /* do not pass this as return value! */ + #endif + } + + + /* stop runtime measurement */ + if ( cputime != 0 ) + *cputime = getCPUtime( ) - starttime; + + + /* if programm gets to here, output information that QP could not be solved + * within the given maximum numbers of working set changes */ + if ( printlevel == PL_HIGH ) + { + #ifdef PC_DEBUG + sprintf( messageString,"(nWSR = %d)",nWSR ); + return getGlobalMessageHandler( )->throwWarning( RET_MAX_NWSR_REACHED,messageString,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + #endif + } + + /* Finally check KKT optimality conditions. */ + returnValue returnvalueKKTcheck = checkKKTconditions( ); + + if ( returnvalueKKTcheck != SUCCESSFUL_RETURN ) + return returnvalueKKTcheck; + else + return RET_MAX_NWSR_REACHED; +} + + +/* + * g e t N Z + */ +int QProblem::getNZ( ) +{ + /* nZ = nFR - nAC */ + return bounds.getFree( )->getLength( ) - constraints.getActive( )->getLength( ); +} + + +/* + * g e t D u a l S o l u t i o n + */ +returnValue QProblem::getDualSolution( real_t* const yOpt ) const +{ + int i; + + /* return optimal dual solution vector + * only if current QP has been solved */ + if ( ( getStatus( ) == QPS_AUXILIARYQPSOLVED ) || + ( getStatus( ) == QPS_HOMOTOPYQPSOLVED ) || + ( getStatus( ) == QPS_SOLVED ) ) + { + for( i=0; i -INFTY ) + { + constraints.setNoLower( BT_FALSE ); + break; + } + } + + /* 2) Check if upper constraints' bounds are present. */ + constraints.setNoUpper( BT_TRUE ); + for( i=0; i INFTY - BOUNDTOL ) ) + { + constraints.setType( i,ST_UNBOUNDED ); + ++nUC; + } + else + { + if ( lbA[i] > ubA[i] - BOUNDTOL ) + { + constraints.setType( i,ST_EQUALITY ); + ++nEC; + } + else + { + constraints.setType( i,ST_BOUNDED ); + } + } + } + + /* 4) Set dimensions of constraints structure. */ + constraints.setNEC( nEC ); + constraints.setNUC( nUC ); + constraints.setNIC( nC - nEC - nUC ); + + return SUCCESSFUL_RETURN; +} + + +/* + * c h o l e s k y D e c o m p o s i t i o n P r o j e c t e d + */ +returnValue QProblem::setupCholeskyDecompositionProjected( ) +{ + int i, j, k, ii, kk; + int nV = getNV( ); + int nFR = getNFR( ); + int nZ = getNZ( ); + + /* 1) Initialises R with all zeros. */ + for( i=0; i 0 ) + { + int FR_idx[NVMAX]; + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INDEXLIST_CORRUPTED ); + +#if 0 + real_t HZ[NVMAX*NVMAX]; + real_t ZHZ[NVMAX*NVMAX]; + + /* calculate H*Z */ + for ( i=0; i=0; --k ) + sum -= R[k*NVMAX + i] * R[k*NVMAX + i]; + + if ( sum > 0.0 ) + { + R[i*NVMAX + i] = sqrt( sum ); + inv = 1.0 / R[i * NVMAX + i]; + } + else + { + hessianType = HST_SEMIDEF; + return THROWERROR( RET_HESSIAN_NOT_SPD ); + } + + for( j=(i+1); j=0; --k ) + sum -= R[k*NVMAX + i] * R[k*NVMAX + j]; + + R[i*NVMAX + j] = sum * inv; + } + } +#else + real_t HZ[NVMAX]; + real_t ZHZ[NVMAX]; + + real_t sum, inv; + for (j = 0; j < nZ; ++j) + { + /* Cache one column of Z. */ + for (i = 0; i < NVMAX; ++i) + ZHZ[i] = Q[i * NVMAX + j]; + + /* Create one column of the product H * Z. */ + for (i = 0; i < nFR; ++i) + { + ii = FR_idx[i]; + + sum = 0.0; + for (k = 0; k < nFR; ++k) + { + kk = FR_idx[k]; + sum += H[ii * NVMAX + kk] * ZHZ[kk]; + } + HZ[ii] = sum; + } + + /* Create one column of the product Z^T * H * Z. */ + for (i = j; i < nZ; ++i) + ZHZ[ i ] = 0.0; + + for (k = 0; k < nFR; ++k) + { + kk = FR_idx[k]; + real_t q = HZ[kk]; + for (i = j; i < nZ; ++i) + { + ZHZ[i] += Q[kk * NVMAX + i] * q; + } + } + + /* Use the computed column to update the factorization. */ + /* j == i */ + sum = ZHZ[j]; + + for (k = (j - 1); k >= 0; --k) + sum -= R[k * NVMAX + j] * R[k * NVMAX + j]; + + if (sum > 0.0) + { + R[j * NVMAX + j] = sqrt(sum); + inv = 1.0 / R[j * NVMAX + j]; + } + else + { + hessianType = HST_SEMIDEF; + return THROWERROR( RET_HESSIAN_NOT_SPD ); + } + + for (i = (j + 1); i < nZ; ++i) + { + sum = ZHZ[i]; + + for (k = (j - 1); k >= 0; --k) + sum -= R[k * NVMAX + j] * R[k * NVMAX + i]; + + R[j * NVMAX + i] = sum * inv; + } + } +#endif + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * s e t u p T Q f a c t o r i s a t i o n + */ +returnValue QProblem::setupTQfactorisation( ) +{ + int i, j, ii; + int nV = getNV( ); + int nFR = getNFR( ); + + int FR_idx[NVMAX]; + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INDEXLIST_CORRUPTED ); + + /* 1) Set Q to unity matrix. */ + for( i=0; igetStatus( i ); + + if ( constraints.getType( i ) == ST_EQUALITY ) + { + if ( auxiliaryConstraints->setupConstraint( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + else + { + if ( auxiliaryConstraints->setupConstraint( i,guessedStatus ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + } + } + else /* No initial working set specified. */ + { + /* Obtain initial working set by "clipping". */ + if ( ( xOpt != 0 ) && ( yOpt == 0 ) ) + { + for( i=0; isetupConstraint( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + continue; + } + + if ( Ax[i] >= ubA[i] - BOUNDTOL ) + { + if ( auxiliaryConstraints->setupConstraint( i,ST_UPPER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + continue; + } + + /* Moreover, add all equality constraints if specified. */ + if ( constraints.getType( i ) == ST_EQUALITY ) + { + if ( auxiliaryConstraints->setupConstraint( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + else + { + if ( auxiliaryConstraints->setupConstraint( i,ST_INACTIVE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + } + } + + /* Obtain initial working set in accordance to sign of dual solution vector. */ + if ( ( xOpt == 0 ) && ( yOpt != 0 ) ) + { + for( i=0; i ZERO ) + { + if ( auxiliaryConstraints->setupConstraint( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + continue; + } + + if ( yOpt[nV+i] < -ZERO ) + { + if ( auxiliaryConstraints->setupConstraint( i,ST_UPPER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + continue; + } + + /* Moreover, add all equality constraints if specified. */ + if ( constraints.getType( i ) == ST_EQUALITY ) + { + if ( auxiliaryConstraints->setupConstraint( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + else + { + if ( auxiliaryConstraints->setupConstraint( i,ST_INACTIVE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + } + } + + /* If xOpt and yOpt are null pointer and no initial working is specified, + * start with empty working set (or implicitly fixed bounds and equality constraints only) + * for auxiliary QP. */ + if ( ( xOpt == 0 ) && ( yOpt == 0 ) ) + { + for( i=0; isetupConstraint( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + else + { + if ( auxiliaryConstraints->setupConstraint( i,ST_INACTIVE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + } + } + } + + return SUCCESSFUL_RETURN; +} + + + +/* + * s e t u p A u x i l i a r y W o r k i n g S e t + */ +returnValue QProblem::setupAuxiliaryWorkingSet( const Bounds* const auxiliaryBounds, + const Constraints* const auxiliaryConstraints, + BooleanType setupAfresh + ) +{ + int i; + int nV = getNV( ); + int nC = getNC( ); + + /* consistency checks */ + if ( auxiliaryBounds != 0 ) + { + for( i=0; igetStatus( i ) == ST_UNDEFINED ) ) + return THROWERROR( RET_UNKNOWN_BUG ); + } + else + { + return THROWERROR( RET_INVALID_ARGUMENTS ); + } + + if ( auxiliaryConstraints != 0 ) + { + for( i=0; igetStatus( i ) == ST_UNDEFINED ) ) + return THROWERROR( RET_UNKNOWN_BUG ); + } + else + { + return THROWERROR( RET_INVALID_ARGUMENTS ); + } + + + /* I) SETUP CHOLESKY FLAG: + * Cholesky decomposition shall only be updated if working set + * shall be updated (i.e. NOT setup afresh!) */ + BooleanType updateCholesky; + if ( setupAfresh == BT_TRUE ) + updateCholesky = BT_FALSE; + else + updateCholesky = BT_TRUE; + + + /* II) REMOVE FORMERLY ACTIVE (CONSTRAINTS') BOUNDS (IF NECESSARY): */ + if ( setupAfresh == BT_FALSE ) + { + /* 1) Remove all active constraints that shall be inactive AND + * all active constraints that are active at the wrong bound. */ + for( i=0; igetStatus( i ) != ST_LOWER ) ) + if ( removeConstraint( i,updateCholesky ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_WORKINGSET_FAILED ); + + if ( ( constraints.getStatus( i ) == ST_UPPER ) && ( auxiliaryConstraints->getStatus( i ) != ST_UPPER ) ) + if ( removeConstraint( i,updateCholesky ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_WORKINGSET_FAILED ); + } + + /* 2) Remove all active bounds that shall be inactive AND + * all active bounds that are active at the wrong bound. */ + for( i=0; igetStatus( i ) != ST_LOWER ) ) + if ( removeBound( i,updateCholesky ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_WORKINGSET_FAILED ); + + if ( ( bounds.getStatus( i ) == ST_UPPER ) && ( auxiliaryBounds->getStatus( i ) != ST_UPPER ) ) + if ( removeBound( i,updateCholesky ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_WORKINGSET_FAILED ); + } + } + + + /* III) ADD NEWLY ACTIVE (CONSTRAINTS') BOUNDS: */ + /* 1) Add all inactive bounds that shall be active AND + * all formerly active bounds that have been active at the wrong bound. */ + for( i=0; igetStatus( i ) != ST_INACTIVE ) ) + { + /* Add bound only if it is linearly independent from the current working set. */ + if ( addBound_checkLI( i ) == RET_LINEARLY_INDEPENDENT ) + { + if ( addBound( i,auxiliaryBounds->getStatus( i ),updateCholesky ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_WORKINGSET_FAILED ); + } + } + } + + /* 2) Add all inactive constraints that shall be active AND + * all formerly active constraints that have been active at the wrong bound. */ + for( i=0; igetStatus( i ) == ST_LOWER ) || ( auxiliaryConstraints->getStatus( i ) == ST_UPPER ) ) + { + /* formerly inactive */ + if ( constraints.getStatus( i ) == ST_INACTIVE ) + { + /* Add constraint only if it is linearly independent from the current working set. */ + if ( addConstraint_checkLI( i ) == RET_LINEARLY_INDEPENDENT ) + { + if ( addConstraint( i,auxiliaryConstraints->getStatus( i ),updateCholesky ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_WORKINGSET_FAILED ); + } + } + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * s e t u p A u x i l i a r y Q P s o l u t i o n + */ +returnValue QProblem::setupAuxiliaryQPsolution( const real_t* const xOpt, const real_t* const yOpt + ) +{ + int i, j; + int nV = getNV( ); + int nC = getNC( ); + + + /* Setup primal/dual solution vector for auxiliary initial QP: + * if a null pointer is passed, a zero vector is assigned; + * old solution vector is kept if pointer to internal solution vevtor is passed. */ + if ( xOpt != 0 ) + { + if ( xOpt != x ) + for( i=0; igetStatus( i ) == ST_LOWER ) + lb[i] = x[i]; + else + lb[i] = x[i] - BOUNDRELAXATION; + + if ( auxiliaryBounds->getStatus( i ) == ST_UPPER ) + ub[i] = x[i]; + else + ub[i] = x[i] + BOUNDRELAXATION; + } + } + break; + + case ST_LOWER: + lb[i] = x[i]; + if ( bounds.getType( i ) == ST_EQUALITY ) + { + ub[i] = x[i]; + } + else + { + if ( useRelaxation == BT_TRUE ) + ub[i] = x[i] + BOUNDRELAXATION; + } + break; + + case ST_UPPER: + ub[i] = x[i]; + if ( bounds.getType( i ) == ST_EQUALITY ) + { + lb[i] = x[i]; + } + else + { + if ( useRelaxation == BT_TRUE ) + lb[i] = x[i] - BOUNDRELAXATION; + } + break; + + default: + return THROWERROR( RET_UNKNOWN_BUG ); + } + } + + /* 2) Setup constraints vectors. */ + for ( i=0; igetStatus( i ) == ST_LOWER ) + lbA[i] = Ax[i]; + else + lbA[i] = Ax[i] - BOUNDRELAXATION; + + if ( auxiliaryConstraints->getStatus( i ) == ST_UPPER ) + ubA[i] = Ax[i]; + else + ubA[i] = Ax[i] + BOUNDRELAXATION; + } + } + break; + + case ST_LOWER: + lbA[i] = Ax[i]; + if ( constraints.getType( i ) == ST_EQUALITY ) + { + ubA[i] = Ax[i]; + } + else + { + if ( useRelaxation == BT_TRUE ) + ubA[i] = Ax[i] + BOUNDRELAXATION; + } + break; + + case ST_UPPER: + ubA[i] = Ax[i]; + if ( constraints.getType( i ) == ST_EQUALITY ) + { + lbA[i] = Ax[i]; + } + else + { + if ( useRelaxation == BT_TRUE ) + lbA[i] = Ax[i] - BOUNDRELAXATION; + } + break; + + default: + return THROWERROR( RET_UNKNOWN_BUG ); + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * a d d C o n s t r a i n t + */ +returnValue QProblem::addConstraint( int number, SubjectToStatus C_status, + BooleanType updateCholesky + ) +{ + int i, j, ii; + + /* consistency checks */ + if ( constraints.getStatus( number ) != ST_INACTIVE ) + return THROWERROR( RET_CONSTRAINT_ALREADY_ACTIVE ); + + if ( ( constraints.getNC( ) - getNAC( ) ) == constraints.getNUC( ) ) + return THROWERROR( RET_ALL_CONSTRAINTS_ACTIVE ); + + if ( ( getStatus( ) == QPS_NOTINITIALISED ) || + ( getStatus( ) == QPS_AUXILIARYQPSOLVED ) || + ( getStatus( ) == QPS_HOMOTOPYQPSOLVED ) || + ( getStatus( ) == QPS_SOLVED ) ) + { + return THROWERROR( RET_UNKNOWN_BUG ); + } + + + /* I) ENSURE LINEAR INDEPENDENCE OF THE WORKING SET, + * i.e. remove a constraint or bound if linear dependence occurs. */ + /* check for LI only if Cholesky decomposition shall be updated! */ + if ( updateCholesky == BT_TRUE ) + { + returnValue ensureLIreturnvalue = addConstraint_ensureLI( number,C_status ); + + switch ( ensureLIreturnvalue ) + { + case SUCCESSFUL_RETURN: + break; + + case RET_LI_RESOLVED: + break; + + case RET_ENSURELI_FAILED_NOINDEX: + return THROWERROR( RET_ADDCONSTRAINT_FAILED_INFEASIBILITY ); + + case RET_ENSURELI_FAILED_CYCLING: + return THROWERROR( RET_ADDCONSTRAINT_FAILED_INFEASIBILITY ); + + default: + return THROWERROR( RET_ENSURELI_FAILED ); + } + } + + /* some definitions */ + int nFR = getNFR( ); + int nAC = getNAC( ); + int nZ = getNZ( ); + + int tcol = sizeT - nAC; + + + int FR_idx[NVMAX]; + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ADDCONSTRAINT_FAILED ); + + real_t aFR[NVMAX]; + real_t wZ[NVMAX]; + for( i=0; i 0 ) + { + for( j=0; j 0 ) + { + /* II) RESTORE TRIANGULAR FORM OF T: */ + /* Use column-wise Givens rotations to restore reverse triangular form + * of T, simultanenous change of Q (i.e. Z) and R. */ + for( j=0; jgetNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INDEXLIST_CORRUPTED ); + + /* Check if constraint is linearly independent from the + the active ones (<=> is element of null space of Afr). */ + real_t sum; + + for( i=0; i 10.0*EPS ) + return RET_LINEARLY_INDEPENDENT; + } + + return RET_LINEARLY_DEPENDENT; +} + + +/* + * a d d C o n s t r a i n t _ e n s u r e L I + */ +returnValue QProblem::addConstraint_ensureLI( int number, SubjectToStatus C_status ) +{ + int i, j, ii, jj; + int nV = getNV( ); + int nFR = getNFR( ); + int nFX = getNFX( ); + int nAC = getNAC( ); + int nZ = getNZ( ); + + + /* I) Check if new constraint is linearly independent from the active ones. */ + returnValue returnvalueCheckLI = addConstraint_checkLI( number ); + + if ( returnvalueCheckLI == RET_INDEXLIST_CORRUPTED ) + return THROWERROR( RET_ENSURELI_FAILED ); + + if ( returnvalueCheckLI == RET_LINEARLY_INDEPENDENT ) + return SUCCESSFUL_RETURN; + + + /* II) NEW CONSTRAINT IS LINEARLY DEPENDENT: */ + /* 1) Determine coefficients of linear combination, + * cf. M.J. Best. Applied Mathematics and Parallel Computing, chapter: + * An Algorithm for the Solution of the Parametric Quadratic Programming + * Problem, pages 57-76. Physica-Verlag, Heidelberg, 1996. */ + int FR_idx[NVMAX]; + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ENSURELI_FAILED ); + + int FX_idx[NVMAX]; + if ( bounds.getFixed( )->getNumberArray( FX_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ENSURELI_FAILED ); + + real_t xiC[NCMAX_ALLOC]; + real_t xiC_TMP[NCMAX_ALLOC]; + real_t xiB[NVMAX]; + + /* 2) Calculate xiC */ + if ( nAC > 0 ) + { + if ( C_status == ST_LOWER ) + { + for( i=0; igetNumberArray( AC_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ENSURELI_FAILED ); + + if ( C_status == ST_LOWER ) + { + for( i=0; i ZERO ) && ( y[nV+ii] >= 0.0 ) ) + { + if ( y[nV+ii]/xiC[i] < y_min ) + { + y_min = y[nV+ii]/xiC[i]; + y_min_number = ii; + } + } + } + else + { + if ( ( xiC[i] < -ZERO ) && ( y[nV+ii] <= 0.0 ) ) + { + if ( y[nV+ii]/xiC[i] < y_min ) + { + y_min = y[nV+ii]/xiC[i]; + y_min_number = ii; + } + } + } + } + + /* 2) Bounds. */ + for( i=0; i ZERO ) && ( y[ii] >= 0.0 ) ) + { + if ( y[ii]/xiB[i] < y_min ) + { + y_min = y[ii]/xiB[i]; + y_min_number = ii; + y_min_isBound = BT_TRUE; + } + } + } + else + { + if ( ( xiB[i] < -ZERO ) && ( y[ii] <= 0.0 ) ) + { + if ( y[ii]/xiB[i] < y_min ) + { + y_min = y[ii]/xiB[i]; + y_min_number = ii; + y_min_isBound = BT_TRUE; + } + } + } + } + + /* setup output preferences */ + #ifdef PC_DEBUG + char messageString[80]; + VisibilityStatus visibilityStatus; + + if ( printlevel == PL_HIGH ) + visibilityStatus = VS_VISIBLE; + else + visibilityStatus = VS_HIDDEN; + #endif + + + /* IV) REMOVE CONSTRAINT/BOUND FOR RESOLVING LINEAR DEPENDENCE: */ + if ( y_min_number >= 0 ) + { + /* 1) Check for cycling due to infeasibility. */ + if ( ( cyclingManager.getCyclingStatus( number,BT_FALSE ) == CYC_PREV_REMOVED ) && + ( cyclingManager.getCyclingStatus( y_min_number,y_min_isBound ) == CYC_PREV_ADDED ) ) + { + infeasible = BT_TRUE; + + return THROWERROR( RET_ENSURELI_FAILED_CYCLING ); + } + else + { + /* set cycling data */ + cyclingManager.clearCyclingData( ); + cyclingManager.setCyclingStatus( number,BT_FALSE, CYC_PREV_ADDED ); + cyclingManager.setCyclingStatus( y_min_number,y_min_isBound, CYC_PREV_REMOVED ); + } + + /* 2) Update Lagrange multiplier... */ + for( i=0; ithrowInfo( RET_REMOVE_FROM_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( removeBound( y_min_number,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVE_FROM_ACTIVESET_FAILED ); + + y[y_min_number] = 0.0; + } + else + { + #ifdef PC_DEBUG + sprintf( messageString,"constraint no. %d.",y_min_number ); + getGlobalMessageHandler( )->throwInfo( RET_REMOVE_FROM_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( removeConstraint( y_min_number,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVE_FROM_ACTIVESET_FAILED ); + + y[nV+y_min_number] = 0.0; + } + } + else + { + /* no constraint/bound can be removed => QP is infeasible! */ + infeasible = BT_TRUE; + + return THROWERROR( RET_ENSURELI_FAILED_NOINDEX ); + } + + return getGlobalMessageHandler( )->throwInfo( RET_LI_RESOLVED,0,__FUNCTION__,__FILE__,__LINE__,VS_HIDDEN ); +} + + + +/* + * a d d B o u n d + */ +returnValue QProblem::addBound( int number, SubjectToStatus B_status, + BooleanType updateCholesky + ) +{ + int i, j, ii; + + /* consistency checks */ + if ( bounds.getStatus( number ) != ST_INACTIVE ) + return THROWERROR( RET_BOUND_ALREADY_ACTIVE ); + + if ( getNFR( ) == bounds.getNUV( ) ) + return THROWERROR( RET_ALL_BOUNDS_ACTIVE ); + + if ( ( getStatus( ) == QPS_NOTINITIALISED ) || + ( getStatus( ) == QPS_AUXILIARYQPSOLVED ) || + ( getStatus( ) == QPS_HOMOTOPYQPSOLVED ) || + ( getStatus( ) == QPS_SOLVED ) ) + { + return THROWERROR( RET_UNKNOWN_BUG ); + } + + + /* I) ENSURE LINEAR INDEPENDENCE OF THE WORKING SET, + * i.e. remove a constraint or bound if linear dependence occurs. */ + /* check for LI only if Cholesky decomposition shall be updated! */ + if ( updateCholesky == BT_TRUE ) + { + returnValue ensureLIreturnvalue = addBound_ensureLI( number,B_status ); + + switch ( ensureLIreturnvalue ) + { + case SUCCESSFUL_RETURN: + break; + + case RET_LI_RESOLVED: + break; + + case RET_ENSURELI_FAILED_NOINDEX: + return THROWERROR( RET_ADDBOUND_FAILED_INFEASIBILITY ); + + case RET_ENSURELI_FAILED_CYCLING: + return THROWERROR( RET_ADDBOUND_FAILED_INFEASIBILITY ); + + default: + return THROWERROR( RET_ENSURELI_FAILED ); + } + } + + + /* some definitions */ + int nFR = getNFR( ); + int nAC = getNAC( ); + int nZ = getNZ( ); + + int tcol = sizeT - nAC; + + + /* I) SWAP INDEXLIST OF FREE VARIABLES: + * move the variable to be fixed to the end of the list of free variables. */ + int lastfreenumber = bounds.getFree( )->getLastNumber( ); + if ( lastfreenumber != number ) + if ( bounds.swapFree( number,lastfreenumber ) != SUCCESSFUL_RETURN ) + THROWERROR( RET_ADDBOUND_FAILED ); + + + int FR_idx[NVMAX]; + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ADDBOUND_FAILED ); + + real_t w[NVMAX]; + + + /* II) ADD NEW ACTIVE BOUND TO TOP OF MATRIX T: */ + /* 1) add row [wZ wY] = [Z Y](number) at the top of T: assign w */ + for( i=0; i 0 ) /* ( nAC == 0 ) <=> ( nZ == nFR ) <=> Y and T are empty => nothing to do */ + { + /* store new column a in a temporary vector instead of shifting T one column to the left */ + real_t tmp[NCMAX_ALLOC]; + for( i=0; i is linearly independent from the + the active ones (<=> is element of null space of Afr). */ + for( i=0; i EPS ) + return RET_LINEARLY_INDEPENDENT; + } + + return RET_LINEARLY_DEPENDENT; +} + + +/* + * a d d B o u n d _ e n s u r e L I + */ +returnValue QProblem::addBound_ensureLI( int number, SubjectToStatus B_status ) +{ + int i, j, ii, jj; + int nV = getNV( ); + int nFX = getNFX( ); + int nAC = getNAC( ); + int nZ = getNZ( ); + + + /* I) Check if new constraint is linearly independent from the active ones. */ + returnValue returnvalueCheckLI = addBound_checkLI( number ); + + if ( returnvalueCheckLI == RET_LINEARLY_INDEPENDENT ) + return SUCCESSFUL_RETURN; + + + /* II) NEW BOUND IS LINEARLY DEPENDENT: */ + /* 1) Determine coefficients of linear combination, + * cf. M.J. Best. Applied Mathematics and Parallel Computing, chapter: + * An Algorithm for the Solution of the Parametric Quadratic Programming + * Problem, pages 57-76. Physica-Verlag, Heidelberg, 1996. */ + int FR_idx[NVMAX]; + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ENSURELI_FAILED ); + + int FX_idx[NVMAX]; + if ( bounds.getFixed( )->getNumberArray( FX_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ENSURELI_FAILED ); + + int AC_idx[NCMAX_ALLOC]; + if ( constraints.getActive( )->getNumberArray( AC_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ENSURELI_FAILED ); + + real_t xiC[NCMAX_ALLOC]; + real_t xiC_TMP[NCMAX_ALLOC]; + real_t xiB[NVMAX]; + + /* 2) Calculate xiC. */ + if ( nAC > 0 ) + { + if ( B_status == ST_LOWER ) + { + for( i=0; i ZERO ) && ( y[nV+ii] >= 0.0 ) ) + { + if ( y[nV+ii]/xiC[i] < y_min ) + { + y_min = y[nV+ii]/xiC[i]; + y_min_number = ii; + } + } + } + else + { + if ( ( xiC[i] < -ZERO ) && ( y[nV+ii] <= 0.0 ) ) + { + if ( y[nV+ii]/xiC[i] < y_min ) + { + y_min = y[nV+ii]/xiC[i]; + y_min_number = ii; + } + } + } + } + + /* 2) Bounds. */ + for( i=0; i ZERO ) && ( y[ii] >= 0.0 ) ) + { + if ( y[ii]/xiB[i] < y_min ) + { + y_min = y[ii]/xiB[i]; + y_min_number = ii; + y_min_isBound = BT_TRUE; + } + } + } + else + { + if ( ( xiB[i] < -ZERO ) && ( y[ii] <= 0.0 ) ) + { + if ( y[ii]/xiB[i] < y_min ) + { + y_min = y[ii]/xiB[i]; + y_min_number = ii; + y_min_isBound = BT_TRUE; + } + } + } + } + + /* setup output preferences */ + #ifdef PC_DEBUG + char messageString[80]; + VisibilityStatus visibilityStatus; + + if ( printlevel == PL_HIGH ) + visibilityStatus = VS_VISIBLE; + else + visibilityStatus = VS_HIDDEN; + #endif + + + /* IV) REMOVE CONSTRAINT/BOUND FOR RESOLVING LINEAR DEPENDENCE: */ + if ( y_min_number >= 0 ) + { + /* 1) Check for cycling due to infeasibility. */ + if ( ( cyclingManager.getCyclingStatus( number,BT_TRUE ) == CYC_PREV_REMOVED ) && + ( cyclingManager.getCyclingStatus( y_min_number,y_min_isBound ) == CYC_PREV_ADDED ) ) + { + infeasible = BT_TRUE; + + return THROWERROR( RET_ENSURELI_FAILED_CYCLING ); + } + else + { + /* set cycling data */ + cyclingManager.clearCyclingData( ); + cyclingManager.setCyclingStatus( number,BT_TRUE, CYC_PREV_ADDED ); + cyclingManager.setCyclingStatus( y_min_number,y_min_isBound, CYC_PREV_REMOVED ); + } + + + /* 2) Update Lagrange multiplier... */ + for( i=0; ithrowInfo( RET_REMOVE_FROM_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( removeBound( y_min_number,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVE_FROM_ACTIVESET_FAILED ); + + y[y_min_number] = 0.0; + } + else + { + #ifdef PC_DEBUG + sprintf( messageString,"constraint no. %d.",y_min_number ); + getGlobalMessageHandler( )->throwInfo( RET_REMOVE_FROM_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( removeConstraint( y_min_number,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVE_FROM_ACTIVESET_FAILED ); + + y[nV+y_min_number] = 0.0; + } + } + else + { + /* no constraint/bound can be removed => QP is infeasible! */ + infeasible = BT_TRUE; + + return THROWERROR( RET_ENSURELI_FAILED_NOINDEX ); + } + + return getGlobalMessageHandler( )->throwInfo( RET_LI_RESOLVED,0,__FUNCTION__,__FILE__,__LINE__,VS_HIDDEN ); +} + + + +/* + * r e m o v e C o n s t r a i n t + */ +returnValue QProblem::removeConstraint( int number, + BooleanType updateCholesky + ) +{ + int i, j, ii, jj; + + /* consistency check */ + if ( ( getStatus( ) == QPS_NOTINITIALISED ) || + ( getStatus( ) == QPS_AUXILIARYQPSOLVED ) || + ( getStatus( ) == QPS_HOMOTOPYQPSOLVED ) || + ( getStatus( ) == QPS_SOLVED ) ) + { + return THROWERROR( RET_UNKNOWN_BUG ); + } + + /* some definitions */ + int nFR = getNFR( ); + int nAC = getNAC( ); + int nZ = getNZ( ); + + int tcol = sizeT - nAC; + int number_idx = constraints.getActive( )->getIndex( number ); + + + /* consistency checks */ + if ( constraints.getStatus( number ) == ST_INACTIVE ) + return THROWERROR( RET_CONSTRAINT_NOT_ACTIVE ); + + if ( ( number_idx < 0 ) || ( number_idx >= nAC ) ) + return THROWERROR( RET_CONSTRAINT_NOT_ACTIVE ); + + + int FR_idx[NVMAX]; + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVECONSTRAINT_FAILED ); + + + /* I) REMOVE th ROW FROM T, + * i.e. shift rows number+1 through nAC upwards (instead of the actual + * constraint number its corresponding index within matrix A is used). */ + if ( number_idx < nAC-1 ) + { + for( i=(number_idx+1); i=0; --j ) + { + computeGivens( T[(nAC-2-j)*NVMAX + tcol+1+j],T[(nAC-2-j)*NVMAX + tcol+j], T[(nAC-2-j)*NVMAX + tcol+1+j],T[(nAC-2-j)*NVMAX + tcol+j],c,s ); + + for( i=(nAC-j-1); i<(nAC-1); ++i ) + applyGivens( c,s,T[i*NVMAX + tcol+1+j],T[i*NVMAX + tcol+j], T[i*NVMAX + tcol+1+j],T[i*NVMAX + tcol+j] ); + + for( i=0; i 0 ) + { + real_t ZHz[NVMAX]; + for ( i=0; i 0.0 ) + R[nZ*NVMAX + nZ] = sqrt( rho2 ); + else + { + hessianType = HST_SEMIDEF; + return THROWERROR( RET_HESSIAN_NOT_SPD ); + } + } + + /* IV) UPDATE INDICES */ + if ( constraints.moveActiveToInactive( number ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVECONSTRAINT_FAILED ); + + + return SUCCESSFUL_RETURN; +} + + +/* + * r e m o v e B o u n d + */ +returnValue QProblem::removeBound( int number, + BooleanType updateCholesky + ) +{ + int i, j, ii, jj; + + /* consistency checks */ + if ( bounds.getStatus( number ) == ST_INACTIVE ) + return THROWERROR( RET_BOUND_NOT_ACTIVE ); + + if ( ( getStatus( ) == QPS_NOTINITIALISED ) || + ( getStatus( ) == QPS_AUXILIARYQPSOLVED ) || + ( getStatus( ) == QPS_HOMOTOPYQPSOLVED ) || + ( getStatus( ) == QPS_SOLVED ) ) + { + return THROWERROR( RET_UNKNOWN_BUG ); + } + + /* some definitions */ + int nFR = getNFR( ); + int nAC = getNAC( ); + int nZ = getNZ( ); + + int tcol = sizeT - nAC; + + + /* I) UPDATE INDICES */ + if ( bounds.moveFixedToFree( number ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVEBOUND_FAILED ); + + + int FR_idx[NVMAX]; + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVEBOUND_FAILED ); + + /* I) APPEND th UNITY VECOTR TO Q. */ + int nnFRp1 = FR_idx[nFR]; + for( i=0; i 0 ) + { + /* store new column a in a temporary vector instead of shifting T one column to the left and appending a */ + int AC_idx[NCMAX_ALLOC]; + if ( constraints.getActive( )->getNumberArray( AC_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVEBOUND_FAILED ); + + real_t tmp[NCMAX_ALLOC]; + for( i=0; i=0; --j ) + { + computeGivens( tmp[nAC-1-j],T[(nAC-1-j)*NVMAX + tcol+j],T[(nAC-1-j)*NVMAX + tcol+j],tmp[nAC-1-j],c,s ); + + for( i=(nAC-j); i 0 ) + { + real_t Hz[NVMAX]; + for( i=0; i 0 ) + { + real_t r[NVMAX]; + real_t rhs[NVMAX]; + for( i=0; i 0.0 ) + R[nZ*NVMAX + nZ] = sqrt( rho2 ); + else + { + hessianType = HST_SEMIDEF; + return THROWERROR( RET_HESSIAN_NOT_SPD ); + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * b a c k s o l v e R (CODE DUPLICATE OF QProblemB CLASS!!!) + */ +returnValue QProblem::backsolveR( const real_t* const b, BooleanType transposed, + real_t* const a + ) +{ + /* Call standard backsolve procedure (i.e. removingBound == BT_FALSE). */ + return backsolveR( b,transposed,BT_FALSE,a ); +} + + +/* + * b a c k s o l v e R (CODE DUPLICATE OF QProblemB CLASS!!!) + */ +returnValue QProblem::backsolveR( const real_t* const b, BooleanType transposed, + BooleanType removingBound, + real_t* const a + ) +{ + int i, j; + int nR = getNZ( ); + + real_t sum; + + /* if backsolve is called while removing a bound, reduce nZ by one. */ + if ( removingBound == BT_TRUE ) + --nR; + + /* nothing to do */ + if ( nR <= 0 ) + return SUCCESSFUL_RETURN; + + + /* Solve Ra = b, where R might be transposed. */ + if ( transposed == BT_FALSE ) + { + /* solve Ra = b */ + for( i=(nR-1); i>=0; --i ) + { + sum = b[i]; + for( j=(i+1); j ZERO ) + a[i] = sum / R[i*NVMAX + i]; + else + return THROWERROR( RET_DIV_BY_ZERO ); + } + } + else + { + /* solve R^T*a = b */ + for( i=0; i ZERO ) + a[i] = sum / R[i*NVMAX + i]; + else + return THROWERROR( RET_DIV_BY_ZERO ); + } + } + + return SUCCESSFUL_RETURN; +} + + + +/* + * b a c k s o l v e T + */ +returnValue QProblem::backsolveT( const real_t* const b, BooleanType transposed, real_t* const a ) +{ + int i, j; + int nT = getNAC( ); + int tcol = sizeT - nT; + + real_t sum; + + /* nothing to do */ + if ( nT <= 0 ) + return SUCCESSFUL_RETURN; + + + /* Solve Ta = b, where T might be transposed. */ + if ( transposed == BT_FALSE ) + { + /* solve Ta = b */ + for( i=0; i ZERO ) + a[nT-1-i] = sum / T[i*NVMAX + sizeT-1-i]; + else + return THROWERROR( RET_DIV_BY_ZERO ); + } + } + else + { + /* solve T^T*a = b */ + for( i=0; i ZERO ) + a[nT-1-i] = sum / T[(nT-1-i)*NVMAX + tcol+i]; + else + return THROWERROR( RET_DIV_BY_ZERO ); + } + } + + + return SUCCESSFUL_RETURN; +} + + +/* + * h o t s t a r t _ d e t e r m i n e D a t a S h i f t + */ +returnValue QProblem::hotstart_determineDataShift( const int* const FX_idx, const int* const AC_idx, + const real_t* const g_new, const real_t* const lbA_new, const real_t* const ubA_new, + const real_t* const lb_new, const real_t* const ub_new, + real_t* const delta_g, real_t* const delta_lbA, real_t* const delta_ubA, + real_t* const delta_lb, real_t* const delta_ub, + BooleanType& Delta_bC_isZero, BooleanType& Delta_bB_isZero + ) +{ + int i, ii; + int nC = getNC( ); + int nAC = getNAC( ); + + + /* I) DETERMINE DATA SHIFT FOR BOUNDS */ + QProblemB::hotstart_determineDataShift( FX_idx,g_new,lb_new,ub_new, delta_g,delta_lb,delta_ub, Delta_bB_isZero ); + + + /* II) DETERMINE DATA SHIFT FOR CONSTRAINTS */ + /* 1) Calculate shift directions. */ + for( i=0; i EPS ) || ( getAbs( delta_ubA[ii] ) > EPS ) ) + { + Delta_bC_isZero = BT_FALSE; + break; + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * h o t s t a r t _ d e t e r m i n e S t e p D i r e c t i o n + */ +returnValue QProblem::hotstart_determineStepDirection( const int* const FR_idx, const int* const FX_idx, const int* const AC_idx, + const real_t* const delta_g, const real_t* const delta_lbA, const real_t* const delta_ubA, + const real_t* const delta_lb, const real_t* const delta_ub, + BooleanType Delta_bC_isZero, BooleanType Delta_bB_isZero, + real_t* const delta_xFX, real_t* const delta_xFR, + real_t* const delta_yAC, real_t* const delta_yFX + ) +{ + int i, j, ii, jj; + int nFR = getNFR( ); + int nFX = getNFX( ); + int nAC = getNAC( ); + int nZ = getNZ( ); + + /* initialise auxiliary vectors */ + real_t HMX_delta_xFX[NVMAX]; + real_t YFR_delta_xFRy[NVMAX]; + real_t ZFR_delta_xFRz[NVMAX]; + real_t HFR_YFR_delta_xFRy[NVMAX]; + for( i=0; i 0 ) + { + for( i=0; i 0 ) + { + /* 1) Determine delta_xFRy. */ + if ( nAC > 0 ) + { + if ( ( Delta_bC_isZero == BT_TRUE ) && ( Delta_bB_isZero == BT_TRUE ) ) + { + for( i=0; i 0 ) + { + for( i=0; i 0 ) + { + if ( ( Delta_bC_isZero == BT_FALSE ) || ( Delta_bB_isZero == BT_FALSE ) ) + { + for( i=0; i 0 ) + { + /* auxiliary variable */ + real_t delta_xFRz_TMP[NVMAX]; + real_t delta_xFRz_RHS[NVMAX]; + + + if ( ( nAC > 0 ) && ( nFX > 0 ) && ( Delta_bB_isZero == BT_FALSE ) ) + { + for( j=0; j 0 ) /* => Delta_bB_isZero == BT_TRUE, as BT_FALSE would imply nFX>0 */ + { + for( j=0; j 0 ) /* => ( nFR = nZ + nAC > 0 ) */ + { + /* auxiliary variables */ + real_t delta_yAC_TMP[NCMAX_ALLOC]; + for( i=0; i 0 ) + { + for( i=0; i 0 ) + { + if ( Delta_bB_isZero == BT_FALSE ) + { + for( i=0; i 0 ) + { + for( i=0; i 0.0 ) + maxStepLength[nV+ii] = y[nV+ii] / ( -delta_yAC[i] ); + else + maxStepLength[nV+ii] = 0.0; + } + } + else + { + /* active upper constraints' bounds */ + if ( delta_yAC[i] > ZERO ) + { + if ( y[nV+ii] < 0.0 ) + maxStepLength[nV+ii] = y[nV+ii] / ( -delta_yAC[i] ); + else + maxStepLength[nV+ii] = 0.0; + } + } + } + } + + /* 2) Ensure that active dual bounds remain valid + * (ignoring implicitly fixed variables). */ + for( i=0; i 0.0 ) + maxStepLength[ii] = y[ii] / ( -delta_yFX[i] ); + else + maxStepLength[ii] = 0.0; + } + } + else + { + /* active upper bounds */ + if ( delta_yFX[i] > ZERO ) + { + if ( y[ii] < 0.0 ) + maxStepLength[ii] = y[ii] / ( -delta_yFX[i] ); + else + maxStepLength[ii] = 0.0; + } + } + } + } + + + /* II) DETERMINE MAXIMUM PRIMAL STEPLENGTH */ + /* 1) Ensure that inactive constraints' bounds remain valid + * (ignoring unbounded constraints). */ + real_t delta_x[NVMAX]; + for( j=0; j delta_Ax[ii] ) + { + if ( Ax[ii] > lbA[ii] ) + maxStepLength[nV+ii] = ( Ax[ii] - lbA[ii] ) / ( delta_lbA[ii] - delta_Ax[ii] ); + else + maxStepLength[nV+ii] = 0.0; + } + } + + /* inactive upper constraints' bounds */ + if ( constraints.isNoUpper( ) == BT_FALSE ) + { + if ( delta_ubA[ii] < delta_Ax[ii] ) + { + if ( Ax[ii] < ubA[ii] ) + maxStepLength[nV+nC+nV+ii] = ( Ax[ii] - ubA[ii] ) / ( delta_ubA[ii] - delta_Ax[ii] ); + else + maxStepLength[nV+nC+nV+ii] = 0.0; + } + } + } + } + + + /* 2) Ensure that inactive bounds remain valid + * (ignoring unbounded variables). */ + /* inactive lower bounds */ + if ( bounds.isNoLower( ) == BT_FALSE ) + { + for( i=0; i delta_xFR[i] ) + { + if ( x[ii] > lb[ii] ) + maxStepLength[ii] = ( x[ii] - lb[ii] ) / ( delta_lb[ii] - delta_xFR[i] ); + else + maxStepLength[ii] = 0.0; + } + } + } + + /* inactive upper bounds */ + if ( bounds.isNoUpper( ) == BT_FALSE ) + { + for( i=0; i EPS ) + cyclingManager.clearCyclingData( ); + + + /* V) SET MAXIMUM HOMOTOPY STEPLENGTH */ + tau = tau_new; + + #ifdef PC_DEBUG + if ( printlevel == PL_HIGH ) + { + + char messageString[80]; + + if ( BC_status == ST_UNDEFINED ) + sprintf( messageString,"Stepsize is %.6e!",tau ); + else + sprintf( messageString,"Stepsize is %.6e! (BC_idx = %d, BC_isBound = %d, BC_status = %d)",tau,BC_idx,BC_isBound,BC_status ); + + getGlobalMessageHandler( )->throwInfo( RET_STEPSIZE_NONPOSITIVE,messageString,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + } + #endif + + return SUCCESSFUL_RETURN; +} + + +/* + * h o t s t a r t _ p e r f o r m S t e p + */ +returnValue QProblem::hotstart_performStep( const int* const FR_idx, const int* const FX_idx, const int* const AC_idx, const int* const IAC_idx, + const real_t* const delta_g, const real_t* const delta_lbA, const real_t* const delta_ubA, + const real_t* const delta_lb, const real_t* const delta_ub, + const real_t* const delta_xFX, const real_t* const delta_xFR, + const real_t* const delta_yAC, const real_t* const delta_yFX, + const real_t* const delta_Ax, int BC_idx, SubjectToStatus BC_status, BooleanType BC_isBound + ) +{ + int i, j, ii; + int nV = getNV( ); + int nC = getNC( ); + int nFR = getNFR( ); + int nFX = getNFX( ); + int nAC = getNAC( ); + int nIAC = getNIAC( ); + + + /* I) CHECK (CONSTRAINTS') BOUNDS' CONSISTENCY */ + if ( areBoundsConsistent( delta_lb,delta_ub,delta_lbA,delta_ubA ) == BT_FALSE ) + { + infeasible = BT_TRUE; + tau = 0.0; + + return THROWERROR( RET_QP_INFEASIBLE ); + } + + + /* II) GO TO ACTIVE SET CHANGE */ + if ( tau > ZERO ) + { + /* 1) Perform step in primal und dual space... */ + for( i=0; ithrowWarning( RET_STEPSIZE,messageString,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + #endif + } + + + /* setup output preferences */ + #ifdef PC_DEBUG + char messageString[80]; + VisibilityStatus visibilityStatus; + + if ( printlevel == PL_HIGH ) + visibilityStatus = VS_VISIBLE; + else + visibilityStatus = VS_HIDDEN; + #endif + + + /* III) UPDATE ACTIVE SET */ + switch ( BC_status ) + { + /* Optimal solution found as no working set change detected. */ + case ST_UNDEFINED: + return RET_OPTIMAL_SOLUTION_FOUND; + + + /* Remove one variable from active set. */ + case ST_INACTIVE: + if ( BC_isBound == BT_TRUE ) + { + #ifdef PC_DEBUG + sprintf( messageString,"bound no. %d.", BC_idx ); + getGlobalMessageHandler( )->throwInfo( RET_REMOVE_FROM_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( removeBound( BC_idx,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVE_FROM_ACTIVESET_FAILED ); + + y[BC_idx] = 0.0; + } + else + { + #ifdef PC_DEBUG + sprintf( messageString,"constraint no. %d.", BC_idx ); + getGlobalMessageHandler( )->throwInfo( RET_REMOVE_FROM_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( removeConstraint( BC_idx,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVE_FROM_ACTIVESET_FAILED ); + + y[nV+BC_idx] = 0.0; + } + break; + + + /* Add one variable to active set. */ + default: + if ( BC_isBound == BT_TRUE ) + { + #ifdef PC_DEBUG + if ( BC_status == ST_LOWER ) + sprintf( messageString,"lower bound no. %d.", BC_idx ); + else + sprintf( messageString,"upper bound no. %d.", BC_idx ); + getGlobalMessageHandler( )->throwInfo( RET_ADD_TO_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( addBound( BC_idx,BC_status,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ADD_TO_ACTIVESET_FAILED ); + } + else + { + #ifdef PC_DEBUG + if ( BC_status == ST_LOWER ) + sprintf( messageString,"lower constraint's bound no. %d.", BC_idx ); + else + sprintf( messageString,"upper constraint's bound no. %d.", BC_idx ); + getGlobalMessageHandler( )->throwInfo( RET_ADD_TO_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( addConstraint( BC_idx,BC_status,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ADD_TO_ACTIVESET_FAILED ); + } + break; + } + + return SUCCESSFUL_RETURN; +} + + +/* + * a r e B o u n d s C o n s i s t e n t + */ +BooleanType QProblem::areBoundsConsistent( const real_t* const delta_lb, const real_t* const delta_ub, + const real_t* const delta_lbA, const real_t* const delta_ubA + ) const +{ + int i; + + /* 1) Check bounds' consistency. */ + if ( QProblemB::areBoundsConsistent( delta_lb,delta_ub ) == BT_FALSE ) + return BT_FALSE; + + /* 2) Check constraints' consistency, i.e. + * check if delta_lb[i] is greater than delta_ub[i] + * for a component i whose bounds are already (numerically) equal. */ + for( i=0; i ubA[i] - BOUNDTOL ) && ( delta_lbA[i] > delta_ubA[i] + EPS ) ) + return BT_FALSE; + + return BT_TRUE; +} + + +/* + * s e t u p Q P d a t a + */ +returnValue QProblem::setupQPdata( const real_t* const _H, const real_t* const _R, const real_t* const _g, const real_t* const _A, + const real_t* const _lb, const real_t* const _ub, + const real_t* const _lbA, const real_t* const _ubA + ) +{ + int i, j; + int nV = getNV( ); + int nC = getNC( ); + + + /* 1) Load Hessian matrix as well as lower and upper bounds vectors. */ + if (QProblemB::setupQPdata(_H, _R, _g, _lb, _ub) != SUCCESSFUL_RETURN) + return THROWERROR( RET_INVALID_ARGUMENTS ); + + /* 2) Load constraint matrix. */ + if ( ( nC > 0 ) && ( _A == 0 ) ) + return THROWERROR( RET_INVALID_ARGUMENTS ); + + if ( nC > 0 ) + { + for( i=0; igetNumberArray( AC_idx ); + + /* 1) check for Hx + g - [yFX yAC]*[Id A]' = 0. */ + for( i=0; i maxKKTviolation ) + maxKKTviolation = getAbs( tmp ); + } + + /* 2) Check for [lb lbA] <= [Id A]*x <= [ub ubA]. */ + /* lbA <= Ax <= ubA */ + for( i=0; i maxKKTviolation ) + maxKKTviolation = lbA[i] - Ax[i]; + + if ( Ax[i] - ubA[i] > maxKKTviolation ) + maxKKTviolation = Ax[i] - ubA[i]; + } + + /* lb <= x <= ub */ + for( i=0; i maxKKTviolation ) + maxKKTviolation = lb[i] - x[i]; + + if ( x[i] - ub[i] > maxKKTviolation ) + maxKKTviolation = x[i] - ub[i]; + } + + /* 3) Check for correct sign of y and for complementary slackness. */ + /* bounds */ + for( i=0; i maxKKTviolation ) + maxKKTviolation = -y[i]; + if ( getAbs( x[i] - lb[i] ) > maxKKTviolation ) + maxKKTviolation = getAbs( x[i] - lb[i] ); + break; + + case ST_UPPER: + if ( y[i] > maxKKTviolation ) + maxKKTviolation = y[i]; + if ( getAbs( ub[i] - x[i] ) > maxKKTviolation ) + maxKKTviolation = getAbs( ub[i] - x[i] ); + break; + + default: /* inactive */ + if ( getAbs( y[i] ) > maxKKTviolation ) + maxKKTviolation = getAbs( y[i] ); + break; + } + } + + /* constraints */ + for( i=0; i maxKKTviolation ) + maxKKTviolation = -y[nV+i]; + if ( getAbs( Ax[i] - lbA[i] ) > maxKKTviolation ) + maxKKTviolation = getAbs( Ax[i] - lbA[i] ); + break; + + case ST_UPPER: + if ( y[nV+i] > maxKKTviolation ) + maxKKTviolation = y[nV+i]; + if ( getAbs( ubA[i] - Ax[i] ) > maxKKTviolation ) + maxKKTviolation = getAbs( ubA[i] - Ax[i] ); + break; + + default: /* inactive */ + if ( getAbs( y[nV+i] ) > maxKKTviolation ) + maxKKTviolation = getAbs( y[nV+i] ); + break; + } + } + + if ( maxKKTviolation > CRITICALACCURACY ) + return RET_NO_SOLUTION; + + if ( maxKKTviolation > DESIREDACCURACY ) + return RET_INACCURATE_SOLUTION; + + #endif /* __PERFORM_KKT_TEST__ */ + + return SUCCESSFUL_RETURN; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblem.ipp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblem.ipp new file mode 100644 index 0000000..cec58e2 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblem.ipp @@ -0,0 +1,299 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/QProblem.ipp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of inlined member functions of the QProblem class which + * is able to use the newly developed online active set strategy for + * parametric quadratic programming. + */ + + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + +/* + * g e t A + */ +inline returnValue QProblem::getA( real_t* const _A ) const +{ + int i; + + for ( i=0; i= 0 ) && ( number < getNC( ) ) ) + { + for ( int i=0; i= 0 ) && ( number < getNC( ) ) ) + { + value = lbA[number]; + return SUCCESSFUL_RETURN; + } + else + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); +} + + +/* + * g e t U B A + */ +inline returnValue QProblem::getUBA( real_t* const _ubA ) const +{ + int i; + + for ( i=0; i= 0 ) && ( number < getNC( ) ) ) + { + value = ubA[number]; + return SUCCESSFUL_RETURN; + } + else + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); +} + + +/* + * g e t C o n s t r a i n t s + */ +inline returnValue QProblem::getConstraints( Constraints* const _constraints ) const +{ + *_constraints = constraints; + + return SUCCESSFUL_RETURN; +} + + + +/* + * g e t N C + */ +inline int QProblem::getNC( ) const +{ + return constraints.getNC( ); +} + + +/* + * g e t N E C + */ +inline int QProblem::getNEC( ) const +{ + return constraints.getNEC( ); +} + + +/* + * g e t N A C + */ +inline int QProblem::getNAC( ) +{ + return constraints.getNAC( ); +} + + +/* + * g e t N I A C + */ +inline int QProblem::getNIAC( ) +{ + return constraints.getNIAC( ); +} + + + +/***************************************************************************** + * P R O T E C T E D * + *****************************************************************************/ + + +/* + * s e t A + */ +inline returnValue QProblem::setA( const real_t* const A_new ) +{ + int i, j; + int nV = getNV( ); + int nC = getNC( ); + + /* Set constraint matrix AND update member AX. */ + for( j=0; j= 0 ) && ( number < getNC( ) ) ) + { + Ax[number] = 0.0; + + for( i=0; i= 0 ) && ( number < getNC( ) ) ) + { + lbA[number] = value; + return SUCCESSFUL_RETURN; + } + else + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); +} + + +/* + * s e t U B A + */ +inline returnValue QProblem::setUBA( const real_t* const ubA_new ) +{ + int i; + int nC = getNC(); + + for( i=0; i= 0 ) && ( number < getNC( ) ) ) + { + ubA[number] = value; + return SUCCESSFUL_RETURN; + } + else + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblemB.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblemB.cpp new file mode 100644 index 0000000..f84daab --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblemB.cpp @@ -0,0 +1,2151 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/QProblemB.cpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of the QProblemB class which is able to use the newly + * developed online active set strategy for parametric quadratic programming. + */ + + +#include + +#include + +void printmatrix(char *name, double *A, int m, int n) { + int i, j; + + printf("%s = [...\n", name); + for (i = 0; i < m; i++) { + for (j = 0; j < n; j++) + printf(" % 9.4f", A[i*n+j]); + printf(",\n"); + } + printf("];\n"); +} + + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + + +/* + * Q P r o b l e m B + */ +QProblemB::QProblemB( ) +{ + /* reset global message handler */ + getGlobalMessageHandler( )->reset( ); + + hasHessian = BT_FALSE; + + bounds.init( 0 ); + + hasCholesky = BT_FALSE; + + tau = 0.0; + + hessianType = HST_POSDEF_NULLSPACE; /* Hessian is assumed to be positive definite by default */ + infeasible = BT_FALSE; + unbounded = BT_FALSE; + + status = QPS_NOTINITIALISED; + + #ifdef PC_DEBUG + printlevel = PL_MEDIUM; + setPrintLevel( PL_MEDIUM ); + #else + printlevel = QPOASES_PRINTLEVEL; + #endif + + count = 0; +} + + +/* + * Q P r o b l e m B + */ +QProblemB::QProblemB( int _nV ) +{ + /* consistency check */ + if ( _nV <= 0 ) + { + _nV = 1; + THROWERROR( RET_INVALID_ARGUMENTS ); + } + + hasHessian = BT_FALSE; + + /* reset global message handler */ + getGlobalMessageHandler( )->reset( ); + + bounds.init( _nV ); + + hasCholesky = BT_FALSE; + + tau = 0.0; + + hessianType = HST_POSDEF_NULLSPACE; /* Hessian is assumed to be positive definite by default */ + infeasible = BT_FALSE; + unbounded = BT_FALSE; + + status = QPS_NOTINITIALISED; + + #ifdef PC_DEBUG + printlevel = PL_MEDIUM; + setPrintLevel( PL_MEDIUM ); + #else + printlevel = QPOASES_PRINTLEVEL; + #endif + + count = 0; +} + + +/* + * Q P r o b l e m B + */ +QProblemB::QProblemB( const QProblemB& rhs ) +{ + int i, j; + + int _nV = rhs.bounds.getNV( ); + + for( i=0; i<_nV; ++i ) + for( j=0; j<_nV; ++j ) + H[i*NVMAX + j] = rhs.H[i*NVMAX + j]; + + hasHessian = rhs.hasHessian; + + for( i=0; i<_nV; ++i ) + g[i] = rhs.g[i]; + + for( i=0; i<_nV; ++i ) + lb[i] = rhs.lb[i]; + + for( i=0; i<_nV; ++i ) + ub[i] = rhs.ub[i]; + + + bounds = rhs.bounds; + + for( i=0; i<_nV; ++i ) + for( j=0; j<_nV; ++j ) + R[i*NVMAX + j] = rhs.R[i*NVMAX + j]; + hasCholesky = rhs.hasCholesky; + + for( i=0; i<_nV; ++i ) + x[i] = rhs.x[i]; + + for( i=0; i<_nV; ++i ) + y[i] = rhs.y[i]; + + tau = rhs.tau; + + hessianType = rhs.hessianType; + infeasible = rhs.infeasible; + unbounded = rhs.unbounded; + + status = rhs.status; + + printlevel = rhs.printlevel; + + count = rhs.count; +} + + +/* + * ~ Q P r o b l e m B + */ +QProblemB::~QProblemB( ) +{ +} + + +/* + * o p e r a t o r = + */ +QProblemB& QProblemB::operator=( const QProblemB& rhs ) +{ + int i, j; + + if ( this != &rhs ) + { + int _nV = rhs.bounds.getNV( ); + + for( i=0; i<_nV; ++i ) + for( j=0; j<_nV; ++j ) + H[i*NVMAX + j] = rhs.H[i*NVMAX + j]; + + hasHessian = rhs.hasHessian; + + for( i=0; i<_nV; ++i ) + g[i] = rhs.g[i]; + + for( i=0; i<_nV; ++i ) + lb[i] = rhs.lb[i]; + + for( i=0; i<_nV; ++i ) + ub[i] = rhs.ub[i]; + + bounds = rhs.bounds; + + for( i=0; i<_nV; ++i ) + for( j=0; j<_nV; ++j ) + R[i*NVMAX + j] = rhs.R[i*NVMAX + j]; + hasCholesky = rhs.hasCholesky; + + + for( i=0; i<_nV; ++i ) + x[i] = rhs.x[i]; + + for( i=0; i<_nV; ++i ) + y[i] = rhs.y[i]; + + tau = rhs.tau; + + hessianType = rhs.hessianType; + infeasible = rhs.infeasible; + unbounded = rhs.unbounded; + + status = rhs.status; + + printlevel = rhs.printlevel; + setPrintLevel( rhs.printlevel ); + + count = rhs.count; + } + + return *this; +} + + +/* + * r e s e t + */ +returnValue QProblemB::reset( ) +{ + int i, j; + int nV = getNV( ); + + /** 0) Reset has Hessian flag. */ + hasHessian = BT_FALSE; + + /* 1) Reset bounds. */ + bounds.init( nV ); + + /* 2) Reset Cholesky decomposition. */ + for( i=0; ithrowInfo( RET_ITERATION_STARTED,messageString,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + #endif + } + + /* 1) Setup index arrays. */ + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + if ( bounds.getFixed( )->getNumberArray( FX_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_HOTSTART_FAILED ); + + /* 2) Initialize shift direction of the gradient and the bounds. */ + returnvalue = hotstart_determineDataShift( FX_idx, + g_new,lb_new,ub_new, + delta_g,delta_lb,delta_ub, + Delta_bB_isZero + ); + if ( returnvalue != SUCCESSFUL_RETURN ) + { + nWSR = l; + THROWERROR( RET_SHIFT_DETERMINATION_FAILED ); + return returnvalue; + } + + /* 3) Determination of step direction of X and Y. */ + returnvalue = hotstart_determineStepDirection( FR_idx,FX_idx, + delta_g,delta_lb,delta_ub, + Delta_bB_isZero, + delta_xFX,delta_xFR,delta_yFX + ); + if ( returnvalue != SUCCESSFUL_RETURN ) + { + nWSR = l; + THROWERROR( RET_STEPDIRECTION_DETERMINATION_FAILED ); + return returnvalue; + } + + + /* 4) Determination of step length TAU. */ + returnvalue = hotstart_determineStepLength( FR_idx,FX_idx, + delta_lb,delta_ub, + delta_xFR,delta_yFX, + BC_idx,BC_status ); + if ( returnvalue != SUCCESSFUL_RETURN ) + { + nWSR = l; + THROWERROR( RET_STEPLENGTH_DETERMINATION_FAILED ); + return returnvalue; + } + + /* 5) Realization of the homotopy step. */ + returnvalue = hotstart_performStep( FR_idx,FX_idx, + delta_g,delta_lb,delta_ub, + delta_xFX,delta_xFR,delta_yFX, + BC_idx,BC_status + ); + + + if ( returnvalue != SUCCESSFUL_RETURN ) + { + nWSR = l; + + /* stop runtime measurement */ + if ( cputime != 0 ) + *cputime = getCPUtime( ) - starttime; + + /* optimal solution found? */ + if ( returnvalue == RET_OPTIMAL_SOLUTION_FOUND ) + { + status = QPS_SOLVED; + + if ( printlevel == PL_HIGH ) + THROWINFO( RET_OPTIMAL_SOLUTION_FOUND ); + + #ifdef PC_DEBUG + if ( printIteration( l,BC_idx,BC_status ) != SUCCESSFUL_RETURN ) + THROWERROR( RET_PRINT_ITERATION_FAILED ); /* do not pass this as return value! */ + #endif + + /* check KKT optimality conditions */ + return checkKKTconditions( ); + } + else + { + /* checks for infeasibility... */ + if ( infeasible == BT_TRUE ) + { + status = QPS_HOMOTOPYQPSOLVED; + return THROWERROR( RET_HOTSTART_STOPPED_INFEASIBILITY ); + } + + /* ...unboundedness... */ + if ( unbounded == BT_TRUE ) /* not necessary since objective function convex! */ + return THROWERROR( RET_HOTSTART_STOPPED_UNBOUNDEDNESS ); + + /* ... and throw unspecific error otherwise */ + THROWERROR( RET_HOMOTOPY_STEP_FAILED ); + return returnvalue; + } + } + + /* 6) Output information of successful QP iteration. */ + status = QPS_HOMOTOPYQPSOLVED; + + #ifdef PC_DEBUG + if ( printIteration( l,BC_idx,BC_status ) != SUCCESSFUL_RETURN ) + THROWERROR( RET_PRINT_ITERATION_FAILED ); /* do not pass this as return value! */ + #endif + } + + + /* stop runtime measurement */ + if ( cputime != 0 ) + *cputime = getCPUtime( ) - starttime; + + + /* if programm gets to here, output information that QP could not be solved + * within the given maximum numbers of working set changes */ + if ( printlevel == PL_HIGH ) + { + #ifdef PC_DEBUG + sprintf( messageString,"(nWSR = %d)",nWSR ); + return getGlobalMessageHandler( )->throwWarning( RET_MAX_NWSR_REACHED,messageString,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + #endif + } + + /* Finally check KKT optimality conditions. */ + returnValue returnvalueKKTcheck = checkKKTconditions( ); + + if ( returnvalueKKTcheck != SUCCESSFUL_RETURN ) + return returnvalueKKTcheck; + else + return RET_MAX_NWSR_REACHED; +} + + +/* + * g e t N Z + */ +int QProblemB::getNZ( ) +{ + /* if no constraints are present: nZ=nFR */ + return bounds.getFree( )->getLength( ); +} + + +/* + * g e t O b j V a l + */ +real_t QProblemB::getObjVal( ) const +{ + real_t objVal; + + /* calculated optimal objective function value + * only if current QP has been solved */ + if ( ( getStatus( ) == QPS_AUXILIARYQPSOLVED ) || + ( getStatus( ) == QPS_HOMOTOPYQPSOLVED ) || + ( getStatus( ) == QPS_SOLVED ) ) + { + objVal = getObjVal( x ); + } + else + { + objVal = INFTY; + } + + return objVal; +} + + +/* + * g e t O b j V a l + */ +real_t QProblemB::getObjVal( const real_t* const _x ) const +{ + int i, j; + int nV = getNV( ); + + real_t obj_tmp = 0.0; + + for( i=0; i= PL_MEDIUM ) && ( printlevel != _printlevel ) ) + THROWINFO( RET_PRINTLEVEL_CHANGED ); + #endif + + printlevel = _printlevel; + + /* update message handler preferences */ + switch ( printlevel ) + { + case PL_NONE: + getGlobalMessageHandler( )->setErrorVisibilityStatus( VS_HIDDEN ); + getGlobalMessageHandler( )->setWarningVisibilityStatus( VS_HIDDEN ); + getGlobalMessageHandler( )->setInfoVisibilityStatus( VS_HIDDEN ); + break; + + case PL_LOW: + getGlobalMessageHandler( )->setErrorVisibilityStatus( VS_VISIBLE ); + getGlobalMessageHandler( )->setWarningVisibilityStatus( VS_HIDDEN ); + getGlobalMessageHandler( )->setInfoVisibilityStatus( VS_HIDDEN ); + break; + + default: /* PL_MEDIUM, PL_HIGH */ + getGlobalMessageHandler( )->setErrorVisibilityStatus( VS_VISIBLE ); + getGlobalMessageHandler( )->setWarningVisibilityStatus( VS_VISIBLE ); + getGlobalMessageHandler( )->setInfoVisibilityStatus( VS_VISIBLE ); + break; + } + + return SUCCESSFUL_RETURN; +} + + + +/***************************************************************************** + * P R O T E C T E D * + *****************************************************************************/ + +/* + * c h e c k F o r I d e n t i t y H e s s i a n + */ +returnValue QProblemB::checkForIdentityHessian( ) +{ + int i, j; + int nV = getNV( ); + + /* nothing to do as status flag remains unaltered + * if Hessian differs from identity matrix */ + if ( hessianType == HST_IDENTITY ) + return SUCCESSFUL_RETURN; + + /* 1) If Hessian differs from identity matrix, + * return without changing the internal HessianType. */ + for ( i=0; i EPS ) + return SUCCESSFUL_RETURN; + + for ( i=0; i EPS ) || ( getAbs( H[j*NVMAX + i] ) > EPS ) ) + return SUCCESSFUL_RETURN; + } + + /* 2) If this point is reached, Hessian equals the idetity matrix. */ + hessianType = HST_IDENTITY; + + return SUCCESSFUL_RETURN; +} + + +/* + * s e t u p S u b j e c t T o T y p e + */ +returnValue QProblemB::setupSubjectToType( ) +{ + int i; + int nV = getNV( ); + + + /* 1) Check if lower bounds are present. */ + bounds.setNoLower( BT_TRUE ); + for( i=0; i -INFTY ) + { + bounds.setNoLower( BT_FALSE ); + break; + } + + /* 2) Check if upper bounds are present. */ + bounds.setNoUpper( BT_TRUE ); + for( i=0; i INFTY - BOUNDTOL ) ) + { + bounds.setType( i,ST_UNBOUNDED ); + ++nUV; + } + else + { + if ( lb[i] > ub[i] - BOUNDTOL ) + { + bounds.setType( i,ST_EQUALITY ); + ++nFV; + } + else + { + bounds.setType( i,ST_BOUNDED ); + } + } + + /* 4) Set dimensions of bounds structure. */ + bounds.setNFV( nFV ); + bounds.setNUV( nUV ); + bounds.setNBV( nV - nFV - nUV ); + + return SUCCESSFUL_RETURN; +} + + +/* + * c h o l e s k y D e c o m p o s i t i o n + */ +returnValue QProblemB::setupCholeskyDecomposition( ) +{ + int i, j, k, ii, jj; + int nV = getNV( ); + int nFR = getNFR( ); + + /* If Hessian flag is false, it means that H & R already contain Cholesky + * factorization -- provided from outside. */ + if (hasHessian == BT_FALSE) + return SUCCESSFUL_RETURN; + + /* 1) Initialises R with all zeros. */ + for( i=0; i 0 ) + { + int FR_idx[NVMAX]; + if ( bounds.getFree( )->getNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INDEXLIST_CORRUPTED ); + + /* R'*R = H */ + real_t sum; + real_t inv; + + for( i=0; i=0; --k ) + sum -= R[k*NVMAX + i] * R[k*NVMAX + i]; + + if ( sum > 0.0 ) + { + R[i*NVMAX + i] = sqrt( sum ); + inv = 1.0 / R[i*NVMAX + i]; + } + else + { + hessianType = HST_SEMIDEF; + return THROWERROR( RET_HESSIAN_NOT_SPD ); + } + + /* j > i */ + for( j=(i+1); j=0; --k ) + sum -= R[k*NVMAX + i] * R[k*NVMAX + j]; + + R[i*NVMAX + j] = sum * inv; + } + } + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * s o l v e I n i t i a l Q P + */ +returnValue QProblemB::solveInitialQP( const real_t* const xOpt, const real_t* const yOpt, + const Bounds* const guessedBounds, + int& nWSR, real_t* const cputime + ) +{ + int i, nFR; + int nV = getNV( ); + + + /* start runtime measurement */ + real_t starttime = 0.0; + if ( cputime != 0 ) + starttime = getCPUtime( ); + + + status = QPS_NOTINITIALISED; + + /* I) ANALYSE QP DATA: */ + /* 1) Check if Hessian happens to be the identity matrix. */ + if ( checkForIdentityHessian( ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INIT_FAILED ); + + /* 2) Setup type of bounds (i.e. unbounded, implicitly fixed etc.). */ + if ( setupSubjectToType( ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INIT_FAILED ); + + status = QPS_PREPARINGAUXILIARYQP; + + + /* II) SETUP AUXILIARY QP WITH GIVEN OPTIMAL SOLUTION: */ + /* 1) Setup bounds data structure. */ + if ( bounds.setupAllFree( ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INIT_FAILED ); + + /* 2) Setup optimal primal/dual solution for auxiliary QP. */ + if ( setupAuxiliaryQPsolution( xOpt,yOpt ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INIT_FAILED ); + + /* 3) Obtain linear independent working set for auxiliary QP. */ + + static Bounds auxiliaryBounds; + + auxiliaryBounds.init( nV ); + + if ( obtainAuxiliaryWorkingSet( xOpt,yOpt,guessedBounds, &auxiliaryBounds ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INIT_FAILED ); + + /* 4) Setup working set of auxiliary QP and setup cholesky decomposition. */ + if ( setupAuxiliaryWorkingSet( &auxiliaryBounds,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_INIT_FAILED ); + + nFR = getNFR(); + /* At the moment we can only provide a Cholesky of the Hessian if + * the solver is cold-started. */ + if (hasCholesky == BT_FALSE || nFR != nV) + if (setupCholeskyDecomposition() != SUCCESSFUL_RETURN) + return THROWERROR( RET_INIT_FAILED_CHOLESKY ); + + /* 5) Store original QP formulation... */ + real_t g_original[NVMAX]; + real_t lb_original[NVMAX]; + real_t ub_original[NVMAX]; + + for( i=0; isetupBound( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + else + { + if ( auxiliaryBounds->setupBound( i,guessedBounds->getStatus( i ) ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + } + } + else /* No initial working set specified. */ + { + if ( ( xOpt != 0 ) && ( yOpt == 0 ) ) + { + /* Obtain initial working set by "clipping". */ + for( i=0; isetupBound( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + continue; + } + + if ( xOpt[i] >= ub[i] - BOUNDTOL ) + { + if ( auxiliaryBounds->setupBound( i,ST_UPPER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + continue; + } + + /* Moreover, add all implictly fixed variables if specified. */ + if ( bounds.getType( i ) == ST_EQUALITY ) + { + if ( auxiliaryBounds->setupBound( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + else + { + if ( auxiliaryBounds->setupBound( i,ST_INACTIVE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + } + } + + if ( ( xOpt == 0 ) && ( yOpt != 0 ) ) + { + /* Obtain initial working set in accordance to sign of dual solution vector. */ + for( i=0; i ZERO ) + { + if ( auxiliaryBounds->setupBound( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + continue; + } + + if ( yOpt[i] < -ZERO ) + { + if ( auxiliaryBounds->setupBound( i,ST_UPPER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + continue; + } + + /* Moreover, add all implictly fixed variables if specified. */ + if ( bounds.getType( i ) == ST_EQUALITY ) + { + if ( auxiliaryBounds->setupBound( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + else + { + if ( auxiliaryBounds->setupBound( i,ST_INACTIVE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + } + } + + /* If xOpt and yOpt are null pointer and no initial working is specified, + * start with empty working set (or implicitly fixed bounds only) + * for auxiliary QP. */ + if ( ( xOpt == 0 ) && ( yOpt == 0 ) ) + { + for( i=0; isetupBound( i,ST_LOWER ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + else + { + if ( auxiliaryBounds->setupBound( i,ST_INACTIVE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_OBTAINING_WORKINGSET_FAILED ); + } + } + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * s e t u p A u x i l i a r y W o r k i n g S e t + */ +returnValue QProblemB::setupAuxiliaryWorkingSet( const Bounds* const auxiliaryBounds, + BooleanType setupAfresh + ) +{ + int i; + int nV = getNV( ); + + /* consistency checks */ + if ( auxiliaryBounds != 0 ) + { + for( i=0; igetStatus( i ) == ST_UNDEFINED ) ) + return THROWERROR( RET_UNKNOWN_BUG ); + } + else + { + return THROWERROR( RET_INVALID_ARGUMENTS ); + } + + + /* I) SETUP CHOLESKY FLAG: + * Cholesky decomposition shall only be updated if working set + * shall be updated (i.e. NOT setup afresh!) */ + BooleanType updateCholesky; + if ( setupAfresh == BT_TRUE ) + updateCholesky = BT_FALSE; + else + updateCholesky = BT_TRUE; + + + /* II) REMOVE FORMERLY ACTIVE BOUNDS (IF NECESSARY): */ + if ( setupAfresh == BT_FALSE ) + { + /* Remove all active bounds that shall be inactive AND + * all active bounds that are active at the wrong bound. */ + for( i=0; igetStatus( i ) != ST_LOWER ) ) + if ( removeBound( i,updateCholesky ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_WORKINGSET_FAILED ); + + if ( ( bounds.getStatus( i ) == ST_UPPER ) && ( auxiliaryBounds->getStatus( i ) != ST_UPPER ) ) + if ( removeBound( i,updateCholesky ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_WORKINGSET_FAILED ); + } + } + + + /* III) ADD NEWLY ACTIVE BOUNDS: */ + /* Add all inactive bounds that shall be active AND + * all formerly active bounds that have been active at the wrong bound. */ + for( i=0; igetStatus( i ) != ST_INACTIVE ) ) + { + if ( addBound( i,auxiliaryBounds->getStatus( i ),updateCholesky ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SETUP_WORKINGSET_FAILED ); + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * s e t u p A u x i l i a r y Q P s o l u t i o n + */ +returnValue QProblemB::setupAuxiliaryQPsolution( const real_t* const xOpt, const real_t* const yOpt + ) +{ + int i; + int nV = getNV( ); + + + /* Setup primal/dual solution vectors for auxiliary initial QP: + * if a null pointer is passed, a zero vector is assigned; + * old solution vector is kept if pointer to internal solution vector is passed. */ + if ( xOpt != 0 ) + { + if ( xOpt != x ) + for( i=0; igetIndex( number ); + + real_t c, s; + + /* 2) Use row-wise Givens rotations to restore upper triangular form of R. */ + for( i=number_idx+1; ith column and ... */ + for( i=0; igetNumberArray( FR_idx ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVEBOUND_FAILED ); + + /* 1) Calculate new column of cholesky decomposition. */ + real_t rhs[NVMAX]; + real_t r[NVMAX]; + real_t r0 = H[number*NVMAX + number]; + + for( i=0; i 0.0 ) + R[nFR*NVMAX + nFR] = sqrt( r0 ); + else + { + hessianType = HST_SEMIDEF; + return THROWERROR( RET_HESSIAN_NOT_SPD ); + } + + + return SUCCESSFUL_RETURN; +} + + +/* + * b a c k s o l v e R (CODE DUPLICATED IN QProblem CLASS!!!) + */ +returnValue QProblemB::backsolveR( const real_t* const b, BooleanType transposed, + real_t* const a + ) +{ + /* Call standard backsolve procedure (i.e. removingBound == BT_FALSE). */ + return backsolveR( b,transposed,BT_FALSE,a ); +} + + +/* + * b a c k s o l v e R (CODE DUPLICATED IN QProblem CLASS!!!) + */ +returnValue QProblemB::backsolveR( const real_t* const b, BooleanType transposed, + BooleanType removingBound, + real_t* const a + ) +{ + int i, j; + int nR = getNZ( ); + + real_t sum; + + /* if backsolve is called while removing a bound, reduce nZ by one. */ + if ( removingBound == BT_TRUE ) + --nR; + + /* nothing to do */ + if ( nR <= 0 ) + return SUCCESSFUL_RETURN; + + + /* Solve Ra = b, where R might be transposed. */ + if ( transposed == BT_FALSE ) + { + /* solve Ra = b */ + for( i=(nR-1); i>=0; --i ) + { + sum = b[i]; + for( j=(i+1); j ZERO ) + a[i] = sum / R[i*NVMAX + i]; + else + return THROWERROR( RET_DIV_BY_ZERO ); + } + } + else + { + /* solve R^T*a = b */ + for( i=0; i ZERO ) + a[i] = sum / R[i*NVMAX + i]; + else + return THROWERROR( RET_DIV_BY_ZERO ); + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * h o t s t a r t _ d e t e r m i n e D a t a S h i f t + */ +returnValue QProblemB::hotstart_determineDataShift( const int* const FX_idx, + const real_t* const g_new, const real_t* const lb_new, const real_t* const ub_new, + real_t* const delta_g, real_t* const delta_lb, real_t* const delta_ub, + BooleanType& Delta_bB_isZero + ) +{ + int i, ii; + int nV = getNV( ); + int nFX = getNFX( ); + + + /* 1) Calculate shift directions. */ + for( i=0; i EPS ) || ( getAbs( delta_ub[ii] ) > EPS ) ) + { + Delta_bB_isZero = BT_FALSE; + break; + } + } + + return SUCCESSFUL_RETURN; +} + + +/* + * a r e B o u n d s C o n s i s t e n t + */ +BooleanType QProblemB::areBoundsConsistent( const real_t* const delta_lb, const real_t* const delta_ub + ) const +{ + int i; + + /* Check if delta_lb[i] is greater than delta_ub[i] + * for a component i whose bounds are already (numerically) equal. */ + for( i=0; i ub[i] - BOUNDTOL ) && ( delta_lb[i] > delta_ub[i] + EPS ) ) + return BT_FALSE; + + return BT_TRUE; +} + + +/* + * s e t u p Q P d a t a + */ +returnValue QProblemB::setupQPdata( const real_t* const _H, const real_t* const _R, const real_t* const _g, + const real_t* const _lb, const real_t* const _ub + ) +{ + int i, j; + int nV = getNV( ); + + /* 1) Setup Hessian matrix and it's Cholesky factorization. */ + if (_H != 0) + { + for( i=0; i 0 ) + { + for( i=0; i 0 ) + { + /* auxiliary variables */ + real_t delta_xFRz_TMP[NVMAX]; + real_t delta_xFRz_RHS[NVMAX]; + + /* Determine delta_xFRz. */ + if ( Delta_bB_isZero == BT_FALSE ) + { + for( i=0; i 0 ) + { + for( i=0; i= 0.0 ) ) + { + tau_tmp = y[ii] / ( -delta_yFX[i] ); + if ( tau_tmp < tau_new ) + { + if ( tau_tmp >= 0.0 ) + { + tau_new = tau_tmp; + BC_idx = ii; + BC_status = ST_INACTIVE; + } + } + } + } + else + { + /* 2) Active upper bounds. */ + if ( ( delta_yFX[i] > ZERO ) && ( y[ii] <= 0.0 ) ) + { + tau_tmp = y[ii] / ( -delta_yFX[i] ); + if ( tau_tmp < tau_new ) + { + if ( tau_tmp >= 0.0 ) + { + tau_new = tau_tmp; + BC_idx = ii; + BC_status = ST_INACTIVE; + } + } + } + } + } + } + + + /* II) DETERMINE MAXIMUM PRIMAL STEPLENGTH, i.e. ensure that + * inactive bounds remain valid (ignoring unbounded variables). */ + /* 1) Inactive lower bounds. */ + if ( bounds.isNoLower( ) == BT_FALSE ) + { + for( i=0; i delta_xFR[i] ) + { + if ( x[ii] > lb[ii] ) + tau_tmp = ( x[ii] - lb[ii] ) / ( delta_lb[ii] - delta_xFR[i] ); + else + tau_tmp = 0.0; + + if ( tau_tmp < tau_new ) + { + if ( tau_tmp >= 0.0 ) + { + tau_new = tau_tmp; + BC_idx = ii; + BC_status = ST_LOWER; + } + } + } + } + } + } + + /* 2) Inactive upper bounds. */ + if ( bounds.isNoUpper( ) == BT_FALSE ) + { + for( i=0; i= 0.0 ) + { + tau_new = tau_tmp; + BC_idx = ii; + BC_status = ST_UPPER; + } + } + } + } + } + } + + + /* III) SET MAXIMUM HOMOTOPY STEPLENGTH */ + tau = tau_new; + + if ( printlevel == PL_HIGH ) + { + #ifdef PC_DEBUG + char messageString[80]; + + if ( BC_status == ST_UNDEFINED ) + sprintf( messageString,"Stepsize is %.6e!",tau ); + else + sprintf( messageString,"Stepsize is %.6e! (BC_idx = %d, BC_status = %d)",tau,BC_idx,BC_status ); + + getGlobalMessageHandler( )->throwInfo( RET_STEPSIZE_NONPOSITIVE,messageString,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + #endif + } + + return SUCCESSFUL_RETURN; +} + + +/* + * h o t s t a r t _ p e r f o r m S t e p + */ +returnValue QProblemB::hotstart_performStep( const int* const FR_idx, const int* const FX_idx, + const real_t* const delta_g, const real_t* const delta_lb, const real_t* const delta_ub, + const real_t* const delta_xFX, const real_t* const delta_xFR, + const real_t* const delta_yFX, + int BC_idx, SubjectToStatus BC_status + ) +{ + int i, ii; + int nV = getNV( ); + int nFR = getNFR( ); + int nFX = getNFX( ); + + + /* I) CHECK BOUNDS' CONSISTENCY */ + if ( areBoundsConsistent( delta_lb,delta_ub ) == BT_FALSE ) + { + infeasible = BT_TRUE; + tau = 0.0; + + return THROWERROR( RET_QP_INFEASIBLE ); + } + + + /* II) GO TO ACTIVE SET CHANGE */ + if ( tau > ZERO ) + { + /* 1) Perform step in primal und dual space. */ + for( i=0; ithrowWarning( RET_STEPSIZE,messageString,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + #endif + } + + + /* setup output preferences */ + #ifdef PC_DEBUG + char messageString[80]; + VisibilityStatus visibilityStatus; + + if ( printlevel == PL_HIGH ) + visibilityStatus = VS_VISIBLE; + else + visibilityStatus = VS_HIDDEN; + #endif + + + /* III) UPDATE ACTIVE SET */ + switch ( BC_status ) + { + /* Optimal solution found as no working set change detected. */ + case ST_UNDEFINED: + return RET_OPTIMAL_SOLUTION_FOUND; + + + /* Remove one variable from active set. */ + case ST_INACTIVE: + #ifdef PC_DEBUG + sprintf( messageString,"bound no. %d.", BC_idx ); + getGlobalMessageHandler( )->throwInfo( RET_REMOVE_FROM_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( removeBound( BC_idx,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_REMOVE_FROM_ACTIVESET_FAILED ); + + y[BC_idx] = 0.0; + break; + + + /* Add one variable to active set. */ + default: + #ifdef PC_DEBUG + if ( BC_status == ST_LOWER ) + sprintf( messageString,"lower bound no. %d.", BC_idx ); + else + sprintf( messageString,"upper bound no. %d.", BC_idx ); + getGlobalMessageHandler( )->throwInfo( RET_ADD_TO_ACTIVESET,messageString,__FUNCTION__,__FILE__,__LINE__,visibilityStatus ); + #endif + + if ( addBound( BC_idx,BC_status,BT_TRUE ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_ADD_TO_ACTIVESET_FAILED ); + break; + } + + return SUCCESSFUL_RETURN; +} + + +#ifdef PC_DEBUG /* Define print functions only for debugging! */ + +/* + * p r i n t I t e r a t i o n + */ +returnValue QProblemB::printIteration( int iteration, + int BC_idx, SubjectToStatus BC_status + ) +{ + char myPrintfString[160]; + + /* consistency check */ + if ( iteration < 0 ) + return THROWERROR( RET_INVALID_ARGUMENTS ); + + /* nothing to do */ + if ( printlevel != PL_MEDIUM ) + return SUCCESSFUL_RETURN; + + + /* 1) Print header at first iteration. */ + if ( iteration == 0 ) + { + sprintf( myPrintfString,"\n############## qpOASES -- QP NO.%4.1d ###############\n", count ); + myPrintf( myPrintfString ); + + sprintf( myPrintfString," Iter | StepLength | Info | nFX \n" ); + myPrintf( myPrintfString ); + } + + /* 2) Print iteration line. */ + if ( BC_status == ST_UNDEFINED ) + { + sprintf( myPrintfString," %4.1d | %1.5e | QP SOLVED | %4.1d \n", iteration,tau,getNFX( ) ); + myPrintf( myPrintfString ); + } + else + { + char info[8]; + + if ( BC_status == ST_INACTIVE ) + sprintf( info,"REM BND" ); + else + sprintf( info,"ADD BND" ); + + sprintf( myPrintfString," %4.1d | %1.5e | %s%4.1d | %4.1d \n", iteration,tau,info,BC_idx,getNFX( ) ); + myPrintf( myPrintfString ); + } + + return SUCCESSFUL_RETURN; +} + +#endif /* PC_DEBUG */ + + + +/* + * c h e c k K K T c o n d i t i o n s + */ +returnValue QProblemB::checkKKTconditions( ) +{ + #ifdef __PERFORM_KKT_TEST__ + + int i, j; + int nV = getNV( ); + + real_t tmp; + real_t maxKKTviolation = 0.0; + + + /* 1) Check for Hx + g - y*A' = 0 (here: A = Id). */ + for( i=0; i maxKKTviolation ) + maxKKTviolation = getAbs( tmp ); + } + + /* 2) Check for lb <= x <= ub. */ + for( i=0; i maxKKTviolation ) + maxKKTviolation = lb[i] - x[i]; + + if ( x[i] - ub[i] > maxKKTviolation ) + maxKKTviolation = x[i] - ub[i]; + } + + /* 3) Check for correct sign of y and for complementary slackness. */ + for( i=0; i maxKKTviolation ) + maxKKTviolation = -y[i]; + if ( getAbs( ( x[i] - lb[i] ) * y[i] ) > maxKKTviolation ) + maxKKTviolation = getAbs( ( x[i] - lb[i] ) * y[i] ); + break; + + case ST_UPPER: + if ( y[i] > maxKKTviolation ) + maxKKTviolation = y[i]; + if ( getAbs( ( ub[i] - x[i] ) * y[i] ) > maxKKTviolation ) + maxKKTviolation = getAbs( ( ub[i] - x[i] ) * y[i] ); + break; + + default: /* inactive */ + if ( getAbs( y[i] ) > maxKKTviolation ) + maxKKTviolation = getAbs( y[i] ); + break; + } + } + + if ( maxKKTviolation > CRITICALACCURACY ) + return RET_NO_SOLUTION; + + if ( maxKKTviolation > DESIREDACCURACY ) + return RET_INACCURATE_SOLUTION; + + #endif /* __PERFORM_KKT_TEST__ */ + + return SUCCESSFUL_RETURN; +} + + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblemB.ipp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblemB.ipp new file mode 100644 index 0000000..0c1c8b2 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/QProblemB.ipp @@ -0,0 +1,425 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/QProblemB.ipp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of inlined member functions of the QProblemB class which + * is able to use the newly developed online active set strategy for + * parametric quadratic programming. + */ + + + +#include + + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + +/* + * g e t H + */ +inline returnValue QProblemB::getH( real_t* const _H ) const +{ + int i; + + for ( i=0; i= 0 ) && ( number < getNV( ) ) ) + { + value = lb[number]; + return SUCCESSFUL_RETURN; + } + else + { + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + } +} + + +/* + * g e t U B + */ +inline returnValue QProblemB::getUB( real_t* const _ub ) const +{ + int i; + + for ( i=0; i= 0 ) && ( number < getNV( ) ) ) + { + value = ub[number]; + return SUCCESSFUL_RETURN; + } + else + { + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + } +} + + +/* + * g e t B o u n d s + */ +inline returnValue QProblemB::getBounds( Bounds* const _bounds ) const +{ + *_bounds = bounds; + + return SUCCESSFUL_RETURN; +} + + +/* + * g e t N V + */ +inline int QProblemB::getNV( ) const +{ + return bounds.getNV( ); +} + + +/* + * g e t N F R + */ +inline int QProblemB::getNFR( ) +{ + return bounds.getNFR( ); +} + + +/* + * g e t N F X + */ +inline int QProblemB::getNFX( ) +{ + return bounds.getNFX( ); +} + + +/* + * g e t N F V + */ +inline int QProblemB::getNFV( ) const +{ + return bounds.getNFV( ); +} + + +/* + * g e t S t a t u s + */ +inline QProblemStatus QProblemB::getStatus( ) const +{ + return status; +} + + +/* + * i s I n i t i a l i s e d + */ +inline BooleanType QProblemB::isInitialised( ) const +{ + if ( status == QPS_NOTINITIALISED ) + return BT_FALSE; + else + return BT_TRUE; +} + + +/* + * i s S o l v e d + */ +inline BooleanType QProblemB::isSolved( ) const +{ + if ( status == QPS_SOLVED ) + return BT_TRUE; + else + return BT_FALSE; +} + + +/* + * i s I n f e a s i b l e + */ +inline BooleanType QProblemB::isInfeasible( ) const +{ + return infeasible; +} + + +/* + * i s U n b o u n d e d + */ +inline BooleanType QProblemB::isUnbounded( ) const +{ + return unbounded; +} + + +/* + * g e t P r i n t L e v e l + */ +inline PrintLevel QProblemB::getPrintLevel( ) const +{ + return printlevel; +} + + +/* + * g e t H e s s i a n T y p e + */ +inline HessianType QProblemB::getHessianType( ) const +{ + return hessianType; +} + + +/* + * s e t H e s s i a n T y p e + */ +inline returnValue QProblemB::setHessianType( HessianType _hessianType ) +{ + hessianType = _hessianType; + return SUCCESSFUL_RETURN; +} + + + +/***************************************************************************** + * P R O T E C T E D * + *****************************************************************************/ + +/* + * s e t H + */ +inline returnValue QProblemB::setH( const real_t* const H_new ) +{ + int i, j; + + int nV = getNV(); + + for( i=0; i= 0 ) && ( number < getNV( ) ) ) + { + lb[number] = value; + return SUCCESSFUL_RETURN; + } + else + { + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + } +} + + +/* + * s e t U B + */ +inline returnValue QProblemB::setUB( const real_t* const ub_new ) +{ + int i; + + int nV = getNV(); + + for( i=0; i= 0 ) && ( number < getNV( ) ) ) + { + ub[number] = value; + + return SUCCESSFUL_RETURN; + } + else + { + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); + } +} + + +/* + * c o m p u t e G i v e n s + */ +inline void QProblemB::computeGivens( real_t xold, real_t yold, real_t& xnew, real_t& ynew, + real_t& c, real_t& s + ) const +{ + if ( getAbs( yold ) <= ZERO ) + { + c = 1.0; + s = 0.0; + + xnew = xold; + ynew = yold; + } + else + { + real_t t, mu; + + mu = getAbs( xold ); + if ( getAbs( yold ) > mu ) + mu = getAbs( yold ); + + t = mu * sqrt( (xold/mu)*(xold/mu) + (yold/mu)*(yold/mu) ); + + if ( xold < 0.0 ) + t = -t; + + c = xold/t; + s = yold/t; + xnew = t; + ynew = 0.0; + } + + return; +} + + +/* + * a p p l y G i v e n s + */ +inline void QProblemB::applyGivens( real_t c, real_t s, real_t xold, real_t yold, + real_t& xnew, real_t& ynew + ) const +{ + /* Usual Givens plane rotation requiring four multiplications. */ + xnew = c*xold + s*yold; + ynew = -s*xold + c*yold; +// double nu = s/(1.0+c); +// +// xnew = xold*c + yold*s; +// ynew = (xnew+xold)*nu - yold; + + return; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/SubjectTo.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/SubjectTo.cpp new file mode 100644 index 0000000..5dbf707 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/SubjectTo.cpp @@ -0,0 +1,200 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/SubjectTo.cpp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of the SubjectTo class designed to manage working sets of + * constraints and bounds within a QProblem. + */ + + +#include + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + + +/* + * S u b j e c t T o + */ +SubjectTo::SubjectTo( ) : noLower( BT_TRUE ), + noUpper( BT_TRUE ), + size( 0 ) +{ + int i; + + for( i=0; iaddNumber( newnumber ) == RET_INDEXLIST_EXCEEDS_MAX_LENGTH ) + return THROWERROR( RET_ADDINDEX_FAILED ); + + return SUCCESSFUL_RETURN; +} + + +/* + * r e m o v e I n d e x + */ +returnValue SubjectTo::removeIndex( Indexlist* const indexlist, + int removenumber + ) +{ + status[removenumber] = ST_UNDEFINED; + + if ( indexlist->removeNumber( removenumber ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_UNKNOWN_BUG ); + + return SUCCESSFUL_RETURN; +} + + +/* + * s w a p I n d e x + */ +returnValue SubjectTo::swapIndex( Indexlist* const indexlist, + int number1, int number2 + ) +{ + /* consistency checks */ + if ( status[number1] != status[number2] ) + return THROWERROR( RET_SWAPINDEX_FAILED ); + + if ( number1 == number2 ) + { + THROWWARNING( RET_NOTHING_TO_DO ); + return SUCCESSFUL_RETURN; + } + + if ( indexlist->swapNumbers( number1,number2 ) != SUCCESSFUL_RETURN ) + return THROWERROR( RET_SWAPINDEX_FAILED ); + + return SUCCESSFUL_RETURN; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/SubjectTo.ipp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/SubjectTo.ipp new file mode 100644 index 0000000..7cd6dc6 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/SubjectTo.ipp @@ -0,0 +1,132 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/SubjectTo.ipp + * \author Hans Joachim Ferreau + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of the inlined member functions of the SubjectTo class + * designed to manage working sets of constraints and bounds within a QProblem. + */ + + +/***************************************************************************** + * P U B L I C * + *****************************************************************************/ + + +/* + * g e t T y p e + */ +inline SubjectToType SubjectTo::getType( int i ) const +{ + if ( ( i >= 0 ) && ( i < size ) ) + return type[i]; + else + return ST_UNKNOWN; +} + + +/* + * g e t S t a t u s + */ +inline SubjectToStatus SubjectTo::getStatus( int i ) const +{ + if ( ( i >= 0 ) && ( i < size ) ) + return status[i]; + else + return ST_UNDEFINED; +} + + +/* + * s e t T y p e + */ +inline returnValue SubjectTo::setType( int i, SubjectToType value ) +{ + if ( ( i >= 0 ) && ( i < size ) ) + { + type[i] = value; + return SUCCESSFUL_RETURN; + } + else + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); +} + + +/* + * s e t S t a t u s + */ +inline returnValue SubjectTo::setStatus( int i, SubjectToStatus value ) +{ + if ( ( i >= 0 ) && ( i < size ) ) + { + status[i] = value; + return SUCCESSFUL_RETURN; + } + else + return THROWERROR( RET_INDEX_OUT_OF_BOUNDS ); +} + + +/* + * s e t N o L o w e r + */ +inline void SubjectTo::setNoLower( BooleanType _status ) +{ + noLower = _status; +} + + +/* + * s e t N o U p p e r + */ +inline void SubjectTo::setNoUpper( BooleanType _status ) +{ + noUpper = _status; +} + + +/* + * i s N o L o w e r + */ +inline BooleanType SubjectTo::isNoLower( ) const +{ + return noLower; +} + + +/* + * i s N o L o w e r + */ +inline BooleanType SubjectTo::isNoUpper( ) const +{ + return noUpper; +} + + +/* + * end of file + */ diff --git a/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Utils.cpp b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Utils.cpp new file mode 100644 index 0000000..7a3d0a5 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/solver/qpoases/SRC/Utils.cpp @@ -0,0 +1,471 @@ +/* + * This file is part of qpOASES. + * + * qpOASES -- An Implementation of the Online Active Set Strategy. + * Copyright (C) 2007-2008 by Hans Joachim Ferreau et al. All rights reserved. + * + * qpOASES is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * qpOASES is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with qpOASES; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA + * + */ + + +/** + * \file SRC/Utils.cpp + * \author Hans Joachim Ferreau, Eckhard Arnold + * \version 1.3embedded + * \date 2007-2008 + * + * Implementation of some inlined utilities for working with the different QProblem + * classes. + */ + + +#include + +#if defined(__WIN32__) || defined(WIN32) + #include +#elif defined(LINUX) + #include + #include +#endif + +#ifdef __MATLAB__ + #include +#endif + + +#include + + + +#ifdef PC_DEBUG /* Define print functions only for debugging! */ +/* + * p r i n t + */ +returnValue print( const real_t* const v, int n ) +{ + int i; + char myPrintfString[160]; + + /* Print a vector. */ + myPrintf( "[\t" ); + for( i=0; ithrowError( RET_UNABLE_TO_OPEN_FILE,errstr,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + } + + /* 2) Read data from file. */ + for( i=0; ithrowError( RET_UNABLE_TO_READ_FILE,errstr,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + } + data[i*ncol + j] = ( (real_t) float_data ); + } + } + + /* 3) Close file. */ + fclose( datafile ); + + return SUCCESSFUL_RETURN; +} + + +/* + * r e a d F r o m F i l e + */ +returnValue readFromFile( real_t* data, int n, + const char* datafilename + ) +{ + return readFromFile( data, n, 1, datafilename ); +} + + + +/* + * r e a d F r o m F i l e + */ +returnValue readFromFile( int* data, int n, + const char* datafilename + ) +{ + int i; + myFILE* datafile; + + /* 1) Open file. */ + if ( ( datafile = fopen( datafilename, "r" ) ) == 0 ) + { + char errstr[80]; + sprintf( errstr,"(%s)",datafilename ); + return getGlobalMessageHandler( )->throwError( RET_UNABLE_TO_OPEN_FILE,errstr,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + } + + /* 2) Read data from file. */ + for( i=0; ithrowError( RET_UNABLE_TO_READ_FILE,errstr,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + } + } + + /* 3) Close file. */ + fclose( datafile ); + + return SUCCESSFUL_RETURN; +} + + +/* + * w r i t e I n t o F i l e + */ +returnValue writeIntoFile( const real_t* const data, int nrow, int ncol, + const char* datafilename, BooleanType append + ) +{ + int i, j; + myFILE* datafile; + + /* 1) Open file. */ + if ( append == BT_TRUE ) + { + /* append data */ + if ( ( datafile = fopen( datafilename, "a" ) ) == 0 ) + { + char errstr[80]; + sprintf( errstr,"(%s)",datafilename ); + return getGlobalMessageHandler( )->throwError( RET_UNABLE_TO_OPEN_FILE,errstr,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + } + } + else + { + /* do not append data */ + if ( ( datafile = fopen( datafilename, "w" ) ) == 0 ) + { + char errstr[80]; + sprintf( errstr,"(%s)",datafilename ); + return getGlobalMessageHandler( )->throwError( RET_UNABLE_TO_OPEN_FILE,errstr,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + } + } + + /* 2) Write data into file. */ + for( i=0; ithrowError( RET_UNABLE_TO_OPEN_FILE,errstr,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + } + } + else + { + /* do not append data */ + if ( ( datafile = fopen( datafilename, "w" ) ) == 0 ) + { + char errstr[80]; + sprintf( errstr,"(%s)",datafilename ); + return getGlobalMessageHandler( )->throwError( RET_UNABLE_TO_OPEN_FILE,errstr,__FUNCTION__,__FILE__,__LINE__,VS_VISIBLE ); + } + } + + /* 2) Write data into file. */ + for( i=0; i + +/* Some convenient definitions. */ +#define NX ACADO_NX /* Number of differential state variables. */ +#define NXA ACADO_NXA /* Number of algebraic variables. */ +#define NU ACADO_NU /* Number of control inputs. */ +#define NOD ACADO_NOD /* Number of online data values. */ + +#define NY ACADO_NY /* Number of measurements/references on nodes 0..N - 1. */ +#define NYN ACADO_NYN /* Number of measurements/references on node N. */ + +#define N ACADO_N /* Number of intervals in the horizon. */ + +#define NUM_STEPS 10 /* Number of real-time iterations. */ +#define VERBOSE 1 /* Show iterations: 1, silent: 0. */ + +/* Global variables used by the solver. */ +ACADOvariables acadoVariables; +ACADOworkspace acadoWorkspace; + +/* A template for testing of the solver. */ +int main( ) +{ + /* Some temporary variables. */ + int i, iter; + acado_timer t; + + /* Initialize the solver. */ + acado_initializeSolver(); + + /* Initialize the states and controls. */ + for (i = 0; i < NX * (N + 1); ++i) acadoVariables.x[ i ] = 0.0; + for (i = 0; i < NU * N; ++i) acadoVariables.u[ i ] = 0.0; + + /* Initialize the measurements/reference. */ + for (i = 0; i < NY * N; ++i) acadoVariables.y[ i ] = 0.0; + for (i = 0; i < NYN; ++i) acadoVariables.yN[ i ] = 0.0; + + /* MPC: initialize the current state feedback. */ +#if ACADO_INITIAL_STATE_FIXED + for (i = 0; i < NX; ++i) acadoVariables.x0[ i ] = 0.1; +#endif + + if( VERBOSE ) acado_printHeader(); + + /* Prepare first step */ + acado_preparationStep(); + + /* Get the time before start of the loop. */ + acado_tic( &t ); + + /* The "real-time iterations" loop. */ + for(iter = 0; iter < NUM_STEPS; ++iter) + { + /* Perform the feedback step. */ + acado_feedbackStep( ); + + /* Apply the new control immediately to the process, first NU components. */ + + if( VERBOSE ) printf("\tReal-Time Iteration %d: KKT Tolerance = %.3e\n\n", iter, acado_getKKT() ); + + /* Optional: shift the initialization (look at acado_common.h). */ + /* acado_shiftStates(2, 0, 0); */ + /* acado_shiftControls( 0 ); */ + + /* Prepare for the next step. */ + acado_preparationStep(); + } + /* Read the elapsed time. */ + real_t te = acado_toc( &t ); + + if( VERBOSE ) printf("\n\nEnd of the RTI loop. \n\n\n"); + + /* Eye-candy. */ + + if( !VERBOSE ) + printf("\n\n Average time of one real-time iteration: %.3g microseconds\n\n", 1e6 * te / NUM_STEPS); + + acado_printDifferentialVariables(); + acado_printControlVariables(); + + return 0; +} diff --git a/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc.cc b/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc.cc new file mode 100644 index 0000000..6b5694a --- /dev/null +++ b/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc.cc @@ -0,0 +1,647 @@ +/* + Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + + You can contact the author at + + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are met: + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + * Neither the name of ETHZ-ASL nor the + names of its contributors may be used to endorse or promote products + derived from this software without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND + ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED + WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY + DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES + (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND + ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +#include +#include + + +#define PI 3.14159265 + +namespace mav_control { + +constexpr double NonlinearModelPredictiveControl::kGravity; +constexpr int NonlinearModelPredictiveControl::kDisturbanceSize; + +NonlinearModelPredictiveControl::NonlinearModelPredictiveControl(const ros::NodeHandle& nh, + const ros::NodeHandle& private_nh) + : nh_(nh), + private_nh_(private_nh), + initialized_parameters_(false), + position_error_integration_(0, 0, 0), + mpc_queue_(nh, private_nh, ACADO_N+1), + verbose_(false), + record_to_csv_(false), + solve_time_average_(0), + received_first_odometry_(false) +{ + + + acado_initializeSolver(); + + W_.setZero(); + WN_.setZero(); + command_f1_f2_f3_f4_.setConstant(1, ACADO_NU, 0); + input_.setZero(); + state_.setZero(); + reference_.setZero(); + referenceN_.setZero(); + + reset_integrator_service_server_ = nh_.advertiseService( + "reset_integrator", &NonlinearModelPredictiveControl::resetIntegratorServiceCallback, this); + + initializeParameters(); + + mpc_queue_.initializeQueue(sampling_time_, prediction_sampling_time_); + + if (record_to_csv_) + { + removeCSVfiles(); + } +} + +NonlinearModelPredictiveControl::~NonlinearModelPredictiveControl() +{ + +} + + +bool NonlinearModelPredictiveControl::resetIntegratorServiceCallback(std_srvs::Empty::Request &req, + std_srvs::Empty::Response &res) +{ + position_error_integration_.setZero(); + return true; +} + +void NonlinearModelPredictiveControl::removeCSVfiles() +{ + std::remove("/home/barza/bagfiles/CSVfiles/forces.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/position.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/velocity.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/angVel.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/orientation.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/qnorm.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/time.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/avgSolveTime.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/solveTime.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/fail_Status.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/fail_Status_State.csv"); + std::remove("/home/barza/bagfiles/CSVfiles/States.csv"); +} + +//initializing onlineData parameters +void NonlinearModelPredictiveControl::initializeParameters() +{ + + std::vector inertia; + + //Get parameters from RosParam server + private_nh_.param("verbose", verbose_, false); + + + if (!private_nh_.getParam("mass", mass_)) { + ROS_ERROR("mass in nonlinear MPC controller is not loaded from ros parameter " + "server"); + abort(); + } + + + if (!private_nh_.getParam("inertia", inertia)) { + ROS_ERROR( + "inertia in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + inertia_ << inertia.at(0), inertia.at(1), inertia.at(2); + + if (!private_nh_.getParam("drag_coefficient", drag_coefficient_)) { + ROS_ERROR( + "drag_coefficient in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + if (!private_nh_.getParam("armlength", armlength_)) { + ROS_ERROR("armlength in nonlinear MPC controller is not loaded from ros parameter " + "server"); + abort(); + } + + if (!private_nh_.getParam("antiwindup_ball", antiwindup_ball_)) { + ROS_ERROR( + "antiwindup_ball in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + if (!private_nh_.getParam("position_error_integration_limit", + position_error_integration_limit_)) { + ROS_ERROR( + "position_error_integration_limit in nonlinear MPC is not loaded from ros parameter server"); + abort(); + } + + + if (!private_nh_.getParam("sampling_time", sampling_time_)) { + ROS_ERROR("sampling_time in nonlinear MPC is not loaded from ros parameter server"); + abort(); + } + + if (!private_nh_.getParam("prediction_sampling_time", prediction_sampling_time_)) { + ROS_ERROR("prediction_sampling_time in nonlinear MPC is not loaded from ros parameter server"); + abort(); + } + + + for (int i = 0; i < ACADO_N + 1; i++) { + acado_online_data_.block(i, 0, 1, ACADO_NOD) << mass_, inertia_(0), inertia_(1), inertia_(2), drag_coefficient_, armlength_, 0 ,0, 0, 0, 0; //zero for angVel_ref_, yaw_ref_ and 3 external forces + } + + Eigen::Map>(const_cast(acadoVariables.od)) = + acado_online_data_.transpose(); + + if (verbose_) { + std::cout << "acado online data: " << std::endl << acado_online_data_ << std::endl; + } + + initialized_parameters_ = true; + ROS_INFO("Nonlinear MPC: initialized correctly"); +} + +//applying dynamic config parameters +void NonlinearModelPredictiveControl::applyParameters() +{ + + W_.block(0, 0, 3, 3) = q_position_.asDiagonal(); + W_.block(3, 3, 3, 3) = q_velocity_.asDiagonal(); + W_.block(6, 6, 3, 3) = q_attitude_.asDiagonal(); + W_.block(9, 9, 3, 3) = q_angVel_.asDiagonal(); + W_.block(12, 12, ACADO_NU, ACADO_NU) = r_command_.asDiagonal(); + + WN_.block(0, 0, 3, 3) = q_position_.asDiagonal(); + WN_.block(3, 3, 3, 3) = q_velocity_.asDiagonal(); + + Eigen::Map>(const_cast(acadoVariables.W)) = W_.transpose(); + Eigen::Map>(const_cast(acadoVariables.WN)) = WN_.transpose(); + + for (size_t i = 0; i < ACADO_N*ACADO_NU; i++) { + + acadoVariables.lbValues[i] = force_min_; + acadoVariables.ubValues[i] = force_max_; + } + + for (size_t i = 0; i < ACADO_N; i++) { + + acado_online_data_.block(i, ACADO_NOD - 5, 1, 1) << angVel_ref_; + } + +} + +void NonlinearModelPredictiveControl::setOdometry(const mav_msgs::EigenOdometry& odometry) +{ + mpc_queue_.updateQueue(); + mpc_queue_.getQueue(position_ref_, velocity_ref_, acceleration_ref_, yaw_ref_, yaw_rate_ref_); + + + for (int i = 0; i < ACADO_N + 1; i++) { + acado_online_data_.block(i, ACADO_NOD-4, 1, 1) << yaw_ref_.front(); + } + + static mav_msgs::EigenOdometry previous_odometry = odometry; + + Eigen::Quaterniond quat_desired(cos(yaw_ref_.front() / 2), 0, 0, sin(yaw_ref_.front() / 2)); + + if (odometry.position_W.allFinite() == false) { + odometry_.position_W = previous_odometry.position_W; + ROS_WARN("Odometry.position has a non finite element"); + } else { + odometry_.position_W = odometry.position_W; + previous_odometry.position_W = odometry.position_W; // + } + + if (odometry.velocity_B.allFinite() == false) { + odometry_.velocity_B = previous_odometry.velocity_B; + ROS_WARN("Odometry.velocity has a non finite element"); + } else { + odometry_.velocity_B = odometry.velocity_B; + previous_odometry.velocity_B = odometry.velocity_B; + } + + if (odometry.angular_velocity_B.allFinite() == false) { + odometry_.angular_velocity_B = previous_odometry.angular_velocity_B; + ROS_WARN("Odometry.angular_velocity has a non finite element"); + } else { + odometry_.angular_velocity_B = odometry.angular_velocity_B; + previous_odometry.angular_velocity_B = odometry.angular_velocity_B; + } + + odometry_.orientation_W_B = odometry.orientation_W_B; + previous_odometry.orientation_W_B = odometry.orientation_W_B; + + position_error_ = odometry_.position_W - position_ref_.front(); + velocity_error_ = odometry_.getVelocityWorld() - velocity_ref_.front(); + + attitude_error_ = quat_desired.conjugate()*odometry_.orientation_W_B; //quaternion multiplication + mrp_error_= attitude_error_.vec() / (1 + attitude_error_.w()); + + mrp_error_magnitude_= mrp_error_.transpose() * mrp_error_; + + if ( enable_shadow_mrp_ && mrp_error_magnitude_ > 1 ) + { + mrp_error_ = -(1/mrp_error_magnitude_) * mrp_error_; + ROS_INFO_STREAM("shadow mrp used"); + } + + angVel_ref_vector_<< angVel_ref_, 0, 0; + + angVel_error_ = odometry_.angular_velocity_B - angVel_ref_vector_; + + /*if (verbose_) { + + ROS_INFO_STREAM("mrp error: " << mrp_error_.transpose()); + ROS_INFO_STREAM("orienW: " << odometry_.orientation_W_B.w() << " orien vec: " << odometry_.orientation_W_B.vec()); + }*/ + + if (!received_first_odometry_) { + + Eigen::VectorXd x0(ACADO_NX); + + x0 << 0,0,0, 0,0,0, 0,0,0, 0,0,0; //position_error_, velocity_error_, mrp_error_, angVel_error_; + + double u_ref = mass_*kGravity / ACADO_NU; + + for (int i = 0; i < ACADO_N; i++) { + input_.block(i, 0, 1, ACADO_NU) << Eigen::MatrixXd::Constant(1,ACADO_NU,u_ref); + } + + initializeAcadoSolver(x0); + + received_first_odometry_ = true; + } +} + +void NonlinearModelPredictiveControl::setCommandTrajectoryPoint( + const mav_msgs::EigenTrajectoryPoint& command_trajectory) +{ + mpc_queue_.insertReference(command_trajectory); +} + +void NonlinearModelPredictiveControl::setCommandTrajectory( + const mav_msgs::EigenTrajectoryPointDeque& command_trajectory) +{ + int array_size = command_trajectory.size(); + if (array_size < 1) + return; + + mpc_queue_.insertReferenceTrajectory(command_trajectory); +} + +void NonlinearModelPredictiveControl::initializeAcadoSolver(Eigen::VectorXd x0) +{ + + for (int i = 0; i < ACADO_N+1; i++) { + state_.block(i, 0, 1, ACADO_NX) << x0.transpose(); + } + + Eigen::Map>(const_cast(acadoVariables.x)) = + state_.transpose(); + Eigen::Map>(const_cast(acadoVariables.u)) = + input_.transpose(); + Eigen::Map>(const_cast(acadoVariables.y)) = + reference_.transpose(); + Eigen::Map>(const_cast(acadoVariables.yN)) = + referenceN_.transpose(); +} + +double NonlinearModelPredictiveControl::normalizeForce(double force) { + return (2 * force - force_max_ - force_min_) / (force_max_ - force_min_); +} + +void NonlinearModelPredictiveControl::calculateForcesCommand( + Eigen::VectorXd* ref_normforces, Eigen::VectorXd* ref_forces) +{ +// ROS_INFO_STREAM("NMPC: calc Forces command"); + // assert(ref_forces != nullptr); + // assert(ref_normforces != nullptr); + assert(initialized_parameters_ == true); + ros::WallTime starting_time = ros::WallTime::now(); + + + Eigen::Vector3d estimated_disturbances; + Eigen::Matrix x_0; + + estimated_disturbances.setZero(kDisturbanceSize); + + + if (enable_integrator_) { + Eigen::Vector3d position_error = position_ref_.front() - odometry_.position_W; + if (position_error.norm() < antiwindup_ball_) { + position_error_integration_ += position_error * sampling_time_; + } else { + position_error_integration_.setZero(); + } + + position_error_integration_ = position_error_integration_.cwiseMax( + Eigen::Vector3d(-position_error_integration_limit_, -position_error_integration_limit_, + -position_error_integration_limit_)); + + position_error_integration_ = position_error_integration_.cwiseMin( + Eigen::Vector3d(position_error_integration_limit_, position_error_integration_limit_, + position_error_integration_limit_)); + + estimated_disturbances -= Eigen::Vector3d(Ki_xy_, Ki_xy_, Ki_altitude_).asDiagonal() + * position_error_integration_; + } + + // Eigen::Vector3d estimated_disturbances_B = + // odometry_.orientation_W_B.toRotationMatrix().transpose() * estimated_disturbances; + + double u_ref = mass_*kGravity / ACADO_NU; + for (size_t i = 0; i < ACADO_N; i++) { + reference_.block(i, 0, 1, ACADO_NY) << 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, Eigen::MatrixXd::Constant(1,ACADO_NU,u_ref);//u_ref, u_ref, u_ref, u_ref; //slack extra 3 zeros + acado_online_data_.block(i, ACADO_NOD - 3, 1, 3) << estimated_disturbances.transpose(); + } + + + acado_online_data_.block(ACADO_N, ACADO_NOD - 3, 1, 3) << estimated_disturbances.transpose(); + + referenceN_ << 0, 0, 0, 0, 0, 0; + + x_0 << position_error_, velocity_error_, mrp_error_, angVel_error_; + + Eigen::Map>(const_cast(acadoVariables.x0)) = x_0; + Eigen::Map>(const_cast(acadoVariables.y)) = + reference_.transpose(); + Eigen::Map>(const_cast(acadoVariables.yN)) = + referenceN_.transpose(); + Eigen::Map>(const_cast(acadoVariables.od)) = + acado_online_data_.transpose(); + + ros::WallTime time_before_solving = ros::WallTime::now(); + + //ROS_INFO_STREAM("NMPC: befORE"); + acado_preparationStep(); + + int acado_status = acado_feedbackStep(); + + // ROS_INFO_STREAM("NMPC: AFTER"); + + solve_time_average_ += (ros::WallTime::now() - time_before_solving).toSec() * 1000.0; + + double f1 = acadoVariables.u[0]; + double f2 = acadoVariables.u[1]; + double f3 = acadoVariables.u[2]; + double f4 = acadoVariables.u[3]; + double f5 =0; + double f6 =0; + if (ACADO_NU == 6) { + f5=acadoVariables.u[4]; + f6=acadoVariables.u[5];} + + + double norm_uref = normalizeForce(u_ref); + Eigen::Matrix3d rotmat=odometry_.orientation_W_B.toRotationMatrix(); + + if (std::isnan(f1) || std::isnan(f2) || std::isnan(f3) || std::isnan(f4) || std::isnan(f5) || std::isnan(f6) + || acado_status != 0) { + ROS_WARN_STREAM("Nonlinear MPC: Solver failed with status: " << acado_status); + ROS_WARN("reinitializing..."); + + if (record_to_csv_) { + static std::ofstream failStatusFile("/home/barza/bagfiles/CSVfiles/fail_Status.csv", std::ios_base::app); + + state_ = Eigen::Map>( + acadoVariables.x); + + input_ = Eigen::Map>( + acadoVariables.u); + + Eigen::VectorXd states(ACADO_NX); + Eigen::VectorXd inputs(ACADO_NU); + + for (size_t i = 0; i < ACADO_N; i++) { + + states = state_.block(i, 0, 1, ACADO_NX).transpose(); + inputs=input_.block(i, 0, 1, ACADO_NU).transpose(); + + failStatusFile<< states(0) << "," << states(1) << "," << states(2) << "," << states(3) << "," << states(4) << "," << states(5) << "," << states(6) << "," << states(7) << "," << states(8) << "," << states(9) << "," << states(10) << "," << states(11) << "," << "," << inputs(0)<< "," << inputs(1)<< "," << inputs(2) << "," << inputs(3)<< std::endl; + } + + states = state_.block(ACADO_N, 0, 1, ACADO_NX).transpose(); + failStatusFile<< states(0) << "," << states(1) << "," << states(2) << "," << states(3) << "," << states(4) << "," << states(5) << "," << states(6) << "," << states(7) << "," << states(8) << "," << states(9) << "," << states(10) << "," << states(11) << std::endl; + + failStatusFile << f1 << "," << f2 << "," << f3 << "," << f4 << "," << rotmat(2,2) << "," << acado_status << std::endl; + failStatusFile << odometry_.orientation_W_B.w() << "," << odometry_.orientation_W_B.x() << "," << odometry_.orientation_W_B.y() << "," << odometry_.orientation_W_B.z() << std::endl; + failStatusFile << "end" << std::endl; + } + + initializeAcadoSolver (x_0); + + *ref_forces<< Eigen::MatrixXd::Constant(1,ACADO_NU,u_ref); + *ref_normforces << Eigen::MatrixXd::Constant(1,ACADO_NU,norm_uref); + + return; + } + + if (ACADO_NU==4) + { command_f1_f2_f3_f4_ << f1, f2, f3, f4; } + else + { command_f1_f2_f3_f4_ << f1, f2, f3, f4, f5, f6; } + + state_ = Eigen::Map>( + acadoVariables.x); + + input_ = Eigen::Map>( + acadoVariables.u); + + + if (ACADO_NU==4){ + + //ROS_INFO_STREAM("Reached this point: f1 " << command_f1_f2_f3_f4_(0) << "\t" << "f2 : \t" << command_f1_f2_f3_f4_(1) << "\t" << "f3 : \t" << command_f1_f2_f3_f4_(2) << "\t" << "f4 \t" << command_f1_f2_f3_f4_(3)); + *ref_forces << f1, f2, f3, f4; + *ref_normforces << normalizeForce(f1), normalizeForce(f2), normalizeForce(f3), normalizeForce(f4); + } + else { + + //ROS_INFO_STREAM("Reached this point: f1 " << command_f1_f2_f3_f4_(0) << "\t" << "f2 : \t" << command_f1_f2_f3_f4_(1) << "\t" << "f3 : \t" << command_f1_f2_f3_f4_(2) << "\t" << "f4 \t" << command_f1_f2_f3_f4_(3) << "\t" << "f5 \t" << command_f1_f2_f3_f4_(4) << "\t" << "f6 \t" << command_f1_f2_f3_f4_(5)); + *ref_forces << f1, f2, f3, f4, f5, f6; + *ref_normforces << normalizeForce(f1), normalizeForce(f2), normalizeForce(f3), normalizeForce(f4), normalizeForce(f5), normalizeForce(f6); + } + + + //******************************************* Recording to csv ********************************** + + if (record_to_csv_) { + + static std::ofstream qnormFile("/home/barza/bagfiles/CSVfiles/qnorm.csv", std::ios_base::app); + Eigen::Vector4d q; + Eigen::Vector3d mrp; + + for (size_t i = 0; i < ACADO_N+1; i++) { + mrp = state_.block(i, 6, 1, 3).transpose(); + + q << ( 1-mrp.squaredNorm() )/(1 + mrp.squaredNorm()) , (2/(1 + mrp.squaredNorm())) * mrp; + + qnormFile << q.norm() << std::endl; + } + + static double time_since_first_command_=0; + static bool initialise_recording=true; + static std::ofstream forcesFile("/home/barza/bagfiles/CSVfiles/forces.csv", std::ios_base::app); + static std::ofstream positionFile("/home/barza/bagfiles/CSVfiles/position.csv", std::ios_base::app); + static std::ofstream velocityFile("/home/barza/bagfiles/CSVfiles/velocity.csv", std::ios_base::app); + static std::ofstream angVelFile("/home/barza/bagfiles/CSVfiles/angVel.csv", std::ios_base::app); + static std::ofstream orientationFile("/home/barza/bagfiles/CSVfiles/orientation.csv", std::ios_base::app); + static std::ofstream timeFile("/home/barza/bagfiles/CSVfiles/time.csv", std::ios_base::app); + static std::ofstream failStatusState("/home/barza/bagfiles/CSVfiles/fail_Status_State.csv", std::ios_base::app); + static std::ofstream statesFile("/home/barza/bagfiles/CSVfiles/States.csv", std::ios_base::app); + static std::ofstream avgSolveTimeFile("/home/barza/bagfiles/CSVfiles/avgSolveTime.csv", std::ios_base::app); + static std::ofstream solveTimeFile("/home/barza/bagfiles/CSVfiles/solveTime.csv", std::ios_base::app); + + Eigen::Vector3d worldvel= odometry_.getVelocityWorld(); + + + +if (initialise_recording) +{ + if (ACADO_NU==4) + {forcesFile << 0 << "," << 0 << "," << 0 << "," << 0 << std::endl;} + else + {forcesFile << 0 << "," << 0 << "," << 0 << "," << 0 << ","<< 0 << "," << 0 << std::endl;} + + positionFile<< odometry_.position_W.x() << "," << odometry_.position_W.y() << "," << odometry_.position_W.z() << std::endl; + velocityFile<< worldvel.x() << "," << worldvel.y() << "," << worldvel.z() << std::endl; + angVelFile << odometry_.angular_velocity_B.x() << "," << odometry_.angular_velocity_B.y() << "," << odometry_.angular_velocity_B.z() << std::endl; + orientationFile << odometry_.orientation_W_B.w() << "," << odometry_.orientation_W_B.x() << "," << odometry_.orientation_W_B.y() << "," << odometry_.orientation_W_B.z() << "," << rotmat(2,2) << std::endl; + timeFile << time_since_first_command_<< std::endl; + + initialise_recording=false; +} +else +{ + time_since_first_command_+=(ros::WallTime::now() - loop_start_time_).toSec(); + + if (ACADO_NU==4) + {forcesFile << command_f1_f2_f3_f4_(0) << "," << command_f1_f2_f3_f4_(1) << "," << command_f1_f2_f3_f4_(2) << "," << command_f1_f2_f3_f4_(3) << std::endl;} + else + {forcesFile << command_f1_f2_f3_f4_(0) << "," << command_f1_f2_f3_f4_(1) << "," << command_f1_f2_f3_f4_(2) << "," << command_f1_f2_f3_f4_(3) << "," << command_f1_f2_f3_f4_(4) << "," << command_f1_f2_f3_f4_(5) << std::endl; + } + + positionFile<< odometry_.position_W.x() << "," << odometry_.position_W.y() << "," << odometry_.position_W.z() << std::endl; + velocityFile<< worldvel.x() << "," << worldvel.y() << "," << worldvel.z() << std::endl; + angVelFile << odometry_.angular_velocity_B.x() << "," << odometry_.angular_velocity_B.y() << "," << odometry_.angular_velocity_B.z() << std::endl; + orientationFile << odometry_.orientation_W_B.w() << "," << odometry_.orientation_W_B.x() << "," << odometry_.orientation_W_B.y() << "," << odometry_.orientation_W_B.z() << "," << rotmat(2,2) << std::endl; + timeFile << time_since_first_command_<< std::endl; + +} +loop_start_time_= ros::WallTime::now(); + +Eigen::VectorXd states(ACADO_NX); +Eigen::VectorXd inputs(ACADO_NU); +Eigen::Vector3d position_ref= position_ref_.front(); +Eigen::Vector3d velocity_ref= velocity_ref_.front(); +Eigen::Vector3d angVel_ref= angVel_ref_vector_; + +double pred_time=time_since_first_command_; +for (size_t i = 0; i < ACADO_N; i++) { + states = state_.block(i, 0, 1, ACADO_NX).transpose(); + inputs=input_.block(i, 0, 1, ACADO_NU).transpose(); + + if (i==0){ + statesFile<< pred_time << "," << states(0) + position_ref.x() << "," << states(1) + position_ref.y() << "," << states(2) + position_ref.z() << "," << states(3) + velocity_ref.x() << "," << states(4) + velocity_ref.y()<< "," << states(5) + velocity_ref.z()<< "," << states(6) << "," << states(7) << "," << states(8) << "," << states(9) + angVel_ref.x() << "," << states(10) + angVel_ref.y() << "," << states(11) + angVel_ref.z()<< std::endl; + } + failStatusState<< pred_time << "," << states(0) + position_ref.x() << "," << states(1) + position_ref.y() << "," << states(2) + position_ref.z() << "," << states(3) + velocity_ref.x() << "," << states(4) + velocity_ref.y()<< "," << states(5) + velocity_ref.z()<< "," << states(6) << "," << states(7) << "," << states(8) << "," << states(9) + angVel_ref.x() << "," << states(10) + angVel_ref.y() << "," << states(11) + angVel_ref.z()<< std::endl; + //failStatusState<< pred_time << "," << states(0) << "," << states(1) << "," << states(2) << "," << states(3) << "," << states(4) << "," << states(5) << "," << states(6) << "," << states(7) << "," << states(8) << "," << states(9) << "," << states(10) << "," << states(11) << std::endl; + pred_time += prediction_sampling_time_; + } + +states = state_.block(ACADO_N, 0, 1, ACADO_NX).transpose(); +failStatusState<< pred_time << "," << states(0) + position_ref.x() << "," << states(1) + position_ref.y() << "," << states(2) + position_ref.z() << "," << states(3) + velocity_ref.x() << "," << states(4) + velocity_ref.y()<< "," << states(5) + velocity_ref.z()<< "," << states(6) << "," << states(7) << "," << states(8) << "," << states(9) + angVel_ref.x() << "," << states(10) + angVel_ref.y() << "," << states(11) + angVel_ref.z()<< std::endl; +//failStatusState<< pred_time << "," << states(0) << "," << states(1) << "," << states(2) << "," << states(3) << "," << states(4) << "," << states(5) << "," << states(6) << "," << states(7) << "," << states(8) << "," << states(9) << "," << states(10) << "," << states(11) << std::endl; +// failStatusState << "end" << std::endl; + + double diff_time = (ros::WallTime::now() - starting_time).toSec(); + + static int counter = 0; + if (counter > 100) { + //ROS_INFO_STREAM("average solve time: " << solve_time_average_ / counter << " ms"); + avgSolveTimeFile << solve_time_average_ / counter << std::endl; + //ROS_INFO_STREAM("Controller loop time : " << diff_time*1000.0 << " ms"); + solveTimeFile< +#include + + +#define PI 3.14159265 + +namespace mav_control { + +constexpr double NonlinearModelPredictiveControl::kGravity; +constexpr int NonlinearModelPredictiveControl::kDisturbanceSize; + +NonlinearModelPredictiveControl::NonlinearModelPredictiveControl(const ros::NodeHandle& nh, + const ros::NodeHandle& private_nh) + : nh_(nh), + private_nh_(private_nh), + initialized_parameters_(false), + position_error_integration_(0, 0, 0), + mpc_queue_(nh, private_nh, ACADO_N+1), + command_f1_f2_f3_f4_(0, 0, 0, 0), + // disturbance_observer_(nh, private_nh), + verbose_(false), + solve_time_average_(0), + received_first_odometry_(false) +{ + + + acado_initializeSolver(); + + W_.setZero(); + WN_.setZero(); + + input_.setZero(); + state_.setZero(); + reference_.setZero(); + referenceN_.setZero(); + + reset_integrator_service_server_ = nh_.advertiseService( + "reset_integrator", &NonlinearModelPredictiveControl::resetIntegratorServiceCallback, this); // do we need this? + + initializeParameters(); + + mpc_queue_.initializeQueue(sampling_time_, prediction_sampling_time_); //what is this for? + +} // end of constructor + +NonlinearModelPredictiveControl::~NonlinearModelPredictiveControl() +{ + +} + + +bool NonlinearModelPredictiveControl::resetIntegratorServiceCallback(std_srvs::Empty::Request &req, + std_srvs::Empty::Response &res) +{ + position_error_integration_.setZero(); + return true; +} + + +//initializing onlineData parameters +void NonlinearModelPredictiveControl::initializeParameters() +{ + // std::vector drag_coefficients; + //double drag_coefficient; + std::vector inertia; + + //Get parameters from RosParam server + private_nh_.param("verbose", verbose_, false); + + // Should we also do sanity check for loading of length of arm and yaw_ref from rosparam? + if (!private_nh_.getParam("mass", mass_)) { + ROS_ERROR("mass in nonlinear MPC controller is not loaded from ros parameter " + "server"); + abort(); + } + + + if (!private_nh_.getParam("inertia", inertia)) { + ROS_ERROR( + "inertia in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + inertia_ << inertia.at(0), inertia.at(1), inertia.at(2); + + if (!private_nh_.getParam("drag_coefficient", drag_coefficient_)) { + ROS_ERROR( + "drag_coefficient in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + // drag_coefficients_ << drag_coefficients.at(0), drag_coefficients.at(1), drag_coefficients.at(2); + + if (!private_nh_.getParam("armlength", armlength_)) { + ROS_ERROR("armlength in nonlinear MPC controller is not loaded from ros parameter " + "server"); + abort(); + } + + if (!private_nh_.getParam("antiwindup_ball", antiwindup_ball_)) { + ROS_ERROR( + "antiwindup_ball in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + + if (!private_nh_.getParam("position_error_integration_limit", + position_error_integration_limit_)) { + ROS_ERROR( + "position_error_integration_limit in nonlinear MPC is not loaded from ros parameter server"); + abort(); + } + + + if (!private_nh_.getParam("sampling_time", sampling_time_)) { + ROS_ERROR("sampling_time in nonlinear MPC is not loaded from ros parameter server"); + abort(); + } + + if (!private_nh_.getParam("prediction_sampling_time", prediction_sampling_time_)) { + ROS_ERROR("prediction_sampling_time in nonlinear MPC is not loaded from ros parameter server"); + abort(); + } + + for (int i = 0; i < ACADO_N + 1; i++) { + acado_online_data_.block(i, 0, 1, ACADO_NOD) << mass_, inertia_(0), inertia_(1), inertia_(2), drag_coefficient_, armlength_, 0, 0, 0, 0; //zero for yaw_ref_.front() and external forces + } + + Eigen::Map>(const_cast(acadoVariables.od)) = + acado_online_data_.transpose(); + + if (verbose_) { + std::cout << "acado online data: " << std::endl << acado_online_data_ << std::endl; + } + + initialized_parameters_ = true; + ROS_INFO("Nonlinear MPC: initialized correctly"); +} + +//applying dyn config parameters +void NonlinearModelPredictiveControl::applyParameters() +{ + W_.block(0, 0, 3, 3) = q_position_.asDiagonal(); + W_.block(3, 3, 3, 3) = q_velocity_.asDiagonal(); + W_.block(6, 6, 3, 3) = q_attitude_.asDiagonal(); + W_.block(9, 9, 3, 3) = q_angVel_.asDiagonal(); + W_.block(12, 12, 4, 4) = r_command_.asDiagonal(); + + /*WN_ = solveCARE((Eigen::VectorXd(6) << q_position_, q_velocity_).finished().asDiagonal(), + r_command_.asDiagonal());*/ + + WN_.block(0, 0, 3, 3) = q_position_.asDiagonal(); // Or add different terminal penalties in dynamic config file + WN_.block(3, 3, 3, 3) = q_velocity_.asDiagonal(); + + Eigen::Map>(const_cast(acadoVariables.W)) = W_.transpose(); + Eigen::Map>(const_cast(acadoVariables.WN)) = WN_.transpose(); + + for (size_t i = 0; i < ACADO_N; ++i) { + + acadoVariables.lbValues[i] = force_min_; + acadoVariables.ubValues[i] = force_max_; + } + + if (verbose_) { + std::cout << "q_position_: " << q_position_.transpose() << std::endl; + std::cout << "q_velocity_: " << q_velocity_.transpose() << std::endl; + std::cout << "q_attitude_: " << q_attitude_.transpose() << std::endl; + std::cout << "q_angVel_: " << q_angVel_.transpose() << std::endl; + std::cout << "r_command_: " << r_command_.transpose() << std::endl; + std::cout << "W_N = \n" << WN_ << std::endl; + } +} + +void NonlinearModelPredictiveControl::setOdometry(const mav_msgs::EigenOdometry& odometry) +{ + mpc_queue_.updateQueue(); + mpc_queue_.getQueue(position_ref_, velocity_ref_, acceleration_ref_, yaw_ref_, yaw_rate_ref_); + + + if (verbose_) { + std::cout << "position reference: " << std::endl << position_ref_.front() << std::endl; + std::cout << "YAW reference: " << std::endl << yaw_ref_.front() << std::endl; + } + + for (int i = 0; i < ACADO_N + 1; i++) { + acado_online_data_.block(i, ACADO_NOD-4, 1, 1) << yaw_ref_.front(); // OR yaw_ref_.at(i) ???? + } + + static mav_msgs::EigenOdometry previous_odometry = odometry; + + Eigen::Quaterniond quat_desired(cos(yaw_ref_.front() / 2), 0, 0, sin(yaw_ref_.front() / 2)); //what about yaw_ref trajectory? + + + if (odometry.position_W.allFinite() == false) { + odometry_.position_W = previous_odometry.position_W; + ROS_WARN("Odometry.position has a non finite element"); + } else { + odometry_.position_W = odometry.position_W; + previous_odometry.position_W = odometry.position_W; // + } + + if (odometry.velocity_B.allFinite() == false) { + odometry_.velocity_B = previous_odometry.velocity_B; + ROS_WARN("Odometry.velocity has a non finite element"); + } else { + odometry_.velocity_B = odometry.velocity_B; + previous_odometry.velocity_B = odometry.velocity_B; + } + + if (odometry.angular_velocity_B.allFinite() == false) { + odometry_.angular_velocity_B = previous_odometry.angular_velocity_B; + ROS_WARN("Odometry.angular_velocity has a non finite element"); + } else { + odometry_.angular_velocity_B = odometry.angular_velocity_B; + previous_odometry.angular_velocity_B = odometry.angular_velocity_B; + } + + odometry_.orientation_W_B = odometry.orientation_W_B; + previous_odometry.orientation_W_B = odometry.orientation_W_B; + + /* if (odometry.orientation_W_B.w() < 0) // or ==-1 + {odometry_.orientation_W_B.w() = -1 * odometry.orientation_W_B.w(); + odometry_.orientation_W_B.vec() = -1 * odometry.orientation_W_B.vec(); + previous_odometry.orientation_W_B.w() = -1 * odometry.orientation_W_B.w(); + previous_odometry.orientation_W_B.vec() = -1 * odometry.orientation_W_B.vec();}*/ + + position_error_ = odometry_.position_W - position_ref_.front(); //Should I use.front()? + velocity_error_ = odometry_.getVelocityWorld() - velocity_ref_.front(); + attitude_error_ = quat_desired.conjugate()*odometry_.orientation_W_B; //quat multiplication + + + mrp_error_= attitude_error_.vec() / (1 + attitude_error_.w()); + angVel_error_ = odometry_.angular_velocity_B; //odometry_.angular_velocity_B - angVel_ref_.front() where angVel_ref is zero 3x1 + + if (verbose_) { + ROS_INFO_STREAM("attitude error: " << attitude_error_.w() << " attitude vec: " << attitude_error_.vec()); + ROS_INFO_STREAM("orienW: " << odometry_.orientation_W_B.w() << " orien vec: " << odometry_.orientation_W_B.vec()); + //ROS_INFO_STREAM("attitude error: " << attitude_error_.w() << " attitude vec: " << attitude_error_.vec()); + } + +//******************************************* Recording to csv ********************************** + static std::ofstream myfile("/home/barza/bagfiles/CSVfiles/position.csv", std::ios_base::app); + myfile<< odometry_.position_W.x() << "," << odometry_.position_W.y() << "," << odometry_.position_W.z() << std::endl; + + Eigen::Vector3d worldvel= odometry_.getVelocityWorld(); + static std::ofstream myfile1("/home/barza/bagfiles/CSVfiles/velocity.csv", std::ios_base::app); + myfile1<< worldvel.x() << "," << worldvel.y() << "," << worldvel.z() << std::endl; + + static std::ofstream myfile2("/home/barza/bagfiles/CSVfiles/angVel.csv", std::ios_base::app); + myfile2 << odometry_.angular_velocity_B.x() << "," << odometry_.angular_velocity_B.y() << "," << odometry_.angular_velocity_B.z() << std::endl; + + static std::ofstream myfile3("/home/barza/bagfiles/CSVfiles/orientation.csv", std::ios_base::app); + myfile3 << odometry_.orientation_W_B.w() << "," << odometry_.orientation_W_B.x() << "," << odometry_.orientation_W_B.y() << "," << odometry_.orientation_W_B.z() << std::endl; + + +//******************************************* Recording to csv ********************************** + if (!received_first_odometry_) { + + Eigen::VectorXd x0(ACADO_NX); + + x0 << 0,0,0, 0,0,0, 0,0,0, 0,0,0; //addition //position_error_, velocity_error_, mrp_error_, angVel_error_; + + double u_ref = mass_*kGravity / 4; + for (int i = 0; i < ACADO_N; i++) { //addition + input_.block(i, 0, 1, ACADO_NU) << u_ref, u_ref, u_ref, u_ref; //addition + } + + initializeAcadoSolver(x0); + + received_first_odometry_ = true; + } +} + +void NonlinearModelPredictiveControl::setCommandTrajectoryPoint( + const mav_msgs::EigenTrajectoryPoint& command_trajectory) +{ + mpc_queue_.insertReference(command_trajectory); +} + +void NonlinearModelPredictiveControl::setCommandTrajectory( + const mav_msgs::EigenTrajectoryPointDeque& command_trajectory) +{ + int array_size = command_trajectory.size(); + if (array_size < 1) + return; + + mpc_queue_.insertReferenceTrajectory(command_trajectory); +} + +void NonlinearModelPredictiveControl::initializeAcadoSolver(Eigen::VectorXd x0) +{ + + for (int i = 0; i < ACADO_N+1; i++) { + state_.block(i, 0, 1, ACADO_NX) << x0.transpose(); + } + + + Eigen::Map>(const_cast(acadoVariables.x)) = + state_.transpose(); + Eigen::Map>(const_cast(acadoVariables.u)) = + input_.transpose(); + Eigen::Map>(const_cast(acadoVariables.y)) = + reference_.transpose(); + Eigen::Map>(const_cast(acadoVariables.yN)) = + referenceN_.transpose(); +} + +double NonlinearModelPredictiveControl::normalizeForce(double force) { + return (2 * force - force_max_ - force_min_) / (force_max_ - force_min_); +} + +void NonlinearModelPredictiveControl::calculateForcesCommand( + Eigen::Vector4d* ref_normforces, Eigen::Vector4d* ref_forces) +{ + ROS_INFO_STREAM("NMPC: calc Forces command"); + // assert(ref_forces != nullptr); + // assert(ref_normforces != nullptr); + assert(initialized_parameters_ == true); + // ros::WallTime starting_time = ros::WallTime::now(); + + //Eigen::VectorXd KF_estimated_state; + Eigen::Vector3d estimated_disturbances; + Eigen::Matrix x_0; + + estimated_disturbances.setZero(kDisturbanceSize); + + // Eigen::Vector3d current_rpy; + // odometry_.getEulerAngles(¤t_rpy); + +// mpc_queue_.updateQueue(); + // mpc_queue_.getQueue(position_ref_, velocity_ref_, acceleration_ref_, yaw_ref_, yaw_rate_ref_); + + + if (enable_integrator_) { + Eigen::Vector3d position_error = position_ref_.front() - odometry_.position_W; //should it be odo - ref? + if (position_error.norm() < antiwindup_ball_) { + position_error_integration_ += position_error * sampling_time_; + } else { + position_error_integration_.setZero(); + } + + position_error_integration_ = position_error_integration_.cwiseMax( + Eigen::Vector3d(-position_error_integration_limit_, -position_error_integration_limit_, + -position_error_integration_limit_)); + + position_error_integration_ = position_error_integration_.cwiseMin( + Eigen::Vector3d(position_error_integration_limit_, position_error_integration_limit_, + position_error_integration_limit_)); + + estimated_disturbances -= Eigen::Vector3d(Ki_xy_, Ki_xy_, Ki_altitude_).asDiagonal() + * position_error_integration_; + } + + + //Eigen::Vector3d estimated_disturbances_B = + // odometry_.orientation_W_B.toRotationMatrix().transpose() * estimated_disturbances; + + double u_ref = mass_*kGravity / 4; + for (size_t i = 0; i < ACADO_N; i++) { + reference_.block(i, 0, 1, ACADO_NY) << 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, u_ref, u_ref, u_ref, u_ref; + acado_online_data_.block(i, ACADO_NOD - 3, 1, 3) << estimated_disturbances.transpose(); + } + + + acado_online_data_.block(ACADO_N, ACADO_NOD - 3, 1, 3) << estimated_disturbances.transpose(); + + referenceN_ << 0, 0, 0, 0, 0, 0; + + x_0 << position_error_, velocity_error_, mrp_error_, angVel_error_; // should I insert attitude_error.w(), attitude_error.vec() + + Eigen::Map>(const_cast(acadoVariables.x0)) = x_0; + Eigen::Map>(const_cast(acadoVariables.y)) = + reference_.transpose(); + Eigen::Map>(const_cast(acadoVariables.yN)) = + referenceN_.transpose(); + Eigen::Map>(const_cast(acadoVariables.od)) = + acado_online_data_.transpose(); + + //ros::WallTime time_before_solving = ros::WallTime::now(); + + //ROS_INFO_STREAM("NMPC: befORE"); + acado_preparationStep(); + + int acado_status = acado_feedbackStep(); + //int acado_status = 0; + // ROS_INFO_STREAM("NMPC: AFTER"); + + //solve_time_average_ += (ros::WallTime::now() - time_before_solving).toSec() * 1000.0; + + double f1 = acadoVariables.u[0]; + double f2 = acadoVariables.u[1]; + double f3 = acadoVariables.u[2]; + double f4 = acadoVariables.u[3]; +// double norm_uref = (u_ref / 5) - 1; + double norm_uref = normalizeForce(u_ref); + + if (std::isnan(f1) || std::isnan(f2) || std::isnan(f3) || std::isnan(f4) + || acado_status != 0) { + ROS_WARN_STREAM("Nonlinear MPC: Solver failed with status: " << acado_status); + ROS_WARN("reinitializing..."); + initializeAcadoSolver (x_0); + *ref_forces << u_ref, u_ref, u_ref, u_ref; + *ref_normforces << norm_uref, norm_uref, norm_uref, norm_uref; + + static std::ofstream myfile6("/home/barza/bagfiles/CSVfiles/fail_Status.csv", std::ios_base::app); + myfile6 << f1 << "," << f2 << "," << f3 << "," << f4 << "," << acado_status << std::endl; + return; + } + + command_f1_f2_f3_f4_ << f1, f2, f3, f4; //do we need to store normalized forces? + + + + state_ = Eigen::Map>( + acadoVariables.x); + input_ = Eigen::Map>( + acadoVariables.u); + +// static std::ofstream myfile5("/home/barza/bagfiles/CSVfiles/norm.csv", std::ios_base::app); + // Eigen::Vector4d q; + // double qnorm; + //for (size_t i = 0; i < ACADO_N+1; i++) { + // q = state_.block(i, 6, 1, 4).transpose(); + // qnorm=q.norm(); + + //myfile5 << qnorm << std::endl; + + // if (qnorm != 1) //(abs(1-qnorm) > 0.0001) + // { q= q/qnorm; + // state_.block(i, 6, 1, 4)= q.transpose(); } + // } + + //Eigen::Map>(const_cast(acadoVariables.x)) = + // state_.transpose(); + + //myfile5 << "end" << std::endl; + +// *ref_forces = Eigen::Vector4d(normalizeForce(f1), normalizeForce(f2), normalizeForce(f3), normalizeForce(f4)); // what is this for? + // *ref_forces << 2*u_ref, 2*u_ref, 2*u_ref, 2*u_ref; + // *ref_normforces << 2*norm_uref, 2*norm_uref, 2*norm_uref, 2*norm_uref; + ROS_INFO_STREAM("Reached this point: f1 " << command_f1_f2_f3_f4_(0) << "\t" << "f2 : \t" << command_f1_f2_f3_f4_(1) << "\t" << "f3 : \t" << command_f1_f2_f3_f4_(2) << "\t" << "f4 \t" << command_f1_f2_f3_f4_(3)); + + *ref_forces << f1, f2, f3, f4; + *ref_normforces << normalizeForce(f1), normalizeForce(f2), normalizeForce(f3), normalizeForce(f4); + + + static std::ofstream myfile4("/home/barza/bagfiles/CSVfiles/forces.csv", std::ios_base::app); + myfile4 << f1 << "," << f2 << "," << f3 << "," << f4 << std::endl; + + + + + +/* double diff_time = (ros::WallTime::now() - starting_time).toSec(); + + if (verbose_) { + static int counter = 0; + if (counter > 100) { + ROS_INFO_STREAM("average solve time: " << solve_time_average_ / counter << " ms"); + solve_time_average_ = 0.0; + + ROS_INFO_STREAM("Controller loop time : " << diff_time*1000.0 << " ms"); + + ROS_INFO_STREAM("f1: " << command_f1_f2_f3_f4_(0) << "\t" << "f2 : \t" << command_f1_f2_f3_f4_(1) << "\t" << "f3 : \t" << command_f1_f2_f3_f4_(2) << "\t" << "f4 \t" << command_f1_f2_f3_f4_(3)); + counter = 0; + } + counter++; + } */ + + /*double u_ref = mass_*kGravity / 4; + double norm_uref = normalizeForce(u_ref); + *ref_forces << 1.5*u_ref, 1.5*u_ref, 1.5*u_ref, 1.5*u_ref; + *ref_normforces << norm_uref, norm_uref, norm_uref, norm_uref; + */ +} + + + +bool NonlinearModelPredictiveControl::getCurrentReference( + mav_msgs::EigenTrajectoryPoint* reference) const +{ + assert(reference != nullptr); + + (*reference).position_W = position_ref_.front(); + (*reference).velocity_W = velocity_ref_.front(); + (*reference).acceleration_W = acceleration_ref_.front(); + (*reference).setFromYaw(yaw_ref_.front()); + // (*reference).setFromYaw(yaw_ref_); + + +// ROS_INFO_STREAM("controller.cpp : got current reference: position="); //<< (*reference).position_W.transpose() << " yaw=" << (*reference).getYaw()); + + return true; +} + +bool NonlinearModelPredictiveControl::getCurrentReference( + mav_msgs::EigenTrajectoryPointDeque* reference) const +{ + assert(reference != nullptr); + + (*reference).clear(); + + for (size_t i = 0; i < position_ref_.size(); i++) { + mav_msgs::EigenTrajectoryPoint pnt; + pnt.position_W = position_ref_.at(i); + pnt.velocity_W = velocity_ref_.at(i); + pnt.acceleration_W = acceleration_ref_.at(i); + pnt.setFromYaw(yaw_ref_.at(i)); + (*reference).push_back(pnt); + } + +// ROS_INFO_STREAM("controller.cpp : got current reference: position="); //<< (*reference).position_W.transpose() << " yaw=" << (*reference).getYaw()); + + return true; +} + +bool NonlinearModelPredictiveControl::getPredictedState( + mav_msgs::EigenTrajectoryPointDeque* predicted_state) const +{ + /* assert(predicted_state != nullptr); + + for (size_t i = 0; i < ACADO_N + 1; i++) { + mav_msgs::EigenTrajectoryPoint pnt; + pnt.position_W = state_.block(i, 0, 1, 3).transpose(); + (*predicted_state).push_back(pnt); + }*/ + + ROS_INFO_STREAM("controller.cpp : got predicted state: position="); //<< (*reference).position_W.transpose() << " yaw=" << (*reference).getYaw()); + + return true; +} + + + +/*Eigen::Quaterniond NonlinearModelPredictiveControl::quatMult(Eigen::Quaterniond q1, Eigen::Quaterniond q2) { + Eigen::Quaterniond resultQ; + resultQ.setIdentity(); + + resultQ.w() = q1.w() * q2.w() - q1.vec().dot(q2.vec()); + resultQ.vec() = q1.w() * q2.vec() + q2.w() * q1.vec() + q1.vec().cross(q2.vec()); + + return resultQ; +}*/ + + +} diff --git a/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc b/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc new file mode 100644 index 0000000..c184be9 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc @@ -0,0 +1,209 @@ +/* +Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + +You can contact the author at + +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: +* Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. +* Redistributions in binary form must reproduce the above copyright +notice, this list of conditions and the following disclaimer in the +documentation and/or other materials provided with the distribution. +* Neither the name of ETHZ-ASL nor the +names of its contributors may be used to endorse or promote products +derived from this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND +ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY +DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES +(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND +ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +*/ + +#include +#include +#include +#include +#include +#include "acado_common.h" + +namespace mav_control { + + NonLinearModelPredictiveControllerNode::NonLinearModelPredictiveControllerNode( + const ros::NodeHandle& nh, const ros::NodeHandle& private_nh) + : nh_(nh), + private_nh_(private_nh), + nonlinear_mpc_(nh, private_nh), + controller_dyn_config_server_(private_nh) + { + dynamic_reconfigure::Server::CallbackType f_controller; + f_controller = boost::bind(&NonLinearModelPredictiveControllerNode::ControllerDynConfigCallback, + this, _1, _2); + controller_dyn_config_server_.setCallback(f_controller); + } + + NonLinearModelPredictiveControllerNode::~NonLinearModelPredictiveControllerNode() + { + + } + + bool NonLinearModelPredictiveControllerNode::setReferenceArray( + const mav_msgs::EigenTrajectoryPointDeque& reference_array) + { //ROS_INFO_STREAM("Node: set Reference aRRAY!!!"); + nonlinear_mpc_.setCommandTrajectory(reference_array); + return true; + } + + bool NonLinearModelPredictiveControllerNode::setReference( + const mav_msgs::EigenTrajectoryPoint& reference) + { //ROS_INFO_STREAM("Node: set Reference!!!"); + nonlinear_mpc_.setCommandTrajectoryPoint(reference); + return true; + } + + void NonLinearModelPredictiveControllerNode::ControllerDynConfigCallback( + mav_modified_rodrigues_nmpc::NonLinearMPCConfig &config, uint32_t level) + { + Eigen::Vector3d q_position; + Eigen::Vector3d q_velocity; + Eigen::Vector3d q_attitude; + Eigen::Vector3d q_angVel; + + Eigen::VectorXd r_command(ACADO_NU); + Eigen::VectorXd control_limits(2); + + q_position << config.q_x, config.q_y, config.q_z; + q_velocity << config.q_vx, config.q_vy, config.q_vz; + q_attitude << config.q_mrp1, config.q_mrp2, config.q_mrp3; + q_angVel << config.q_wx, config.q_wy, config.q_wz; + + if (ACADO_NU==4) + {r_command << config.r_f1, config.r_f2, config.r_f3, config.r_f4;} + else + {r_command << config.r_f1, config.r_f2, config.r_f3, config.r_f4, config.r_f5, config.r_f6; } + + control_limits << config.force_min, config.force_max; + + + nonlinear_mpc_.setPositionPenality(q_position); + nonlinear_mpc_.setVelocityPenality(q_velocity); + nonlinear_mpc_.setAttitudePenality(q_attitude); + nonlinear_mpc_.setAngVelPenality(q_angVel); + nonlinear_mpc_.setCommandPenality(r_command); + nonlinear_mpc_.setControlLimits(control_limits); + + nonlinear_mpc_.setAngVelRef(config.angVel_ref); + + nonlinear_mpc_.setAltitudeIntratorGain(config.Ki_altitude); + nonlinear_mpc_.setXYIntratorGain(config.Ki_xy); + + + nonlinear_mpc_.setEnableIntegrator(config.enable_integrator); + nonlinear_mpc_.setEnableOffsetFree(config.enable_offset_free); + nonlinear_mpc_.setEnableShadowMRP(config.enable_shadow_mrp); + + nonlinear_mpc_.applyParameters(); + + } + + + + bool NonLinearModelPredictiveControllerNode::setOdometry(const mav_msgs::EigenOdometry& odometry) + { //ROS_INFO_STREAM("Node: SET ODOMETRY!!!"); + nonlinear_mpc_.setOdometry(odometry); + return true; + } + + bool NonLinearModelPredictiveControllerNode::calculateAttitudeThrustCommand( + mav_msgs::EigenAttitudeThrust* attitude_thrust_command) + { + ROS_WARN("calculateAttitudeThrustCommand not implemented"); + return false; + } + + bool NonLinearModelPredictiveControllerNode::calculateForcesCommand(mav_msgs::Actuators* forces_command) { + //ROS_INFO_STREAM("Node: published force comm!!!"); + Eigen::VectorXd normforces(ACADO_NU), forces(ACADO_NU); + + nonlinear_mpc_.calculateForcesCommand(&normforces, &forces); + + double force_const; + if (ACADO_NU ==4) { + force_const=8.54858e-06; + } //hummingbird + else { + force_const=1.269e-05; + } //neo11 + + + (*forces_command).angular_velocities.clear(); + + for (int i = 0; i < forces.size(); i++) + { + + if (forces[i] >=0) + { + (*forces_command).angular_velocities.push_back(sqrt(forces[i]/force_const)); + } + else { + (*forces_command).angular_velocities.push_back(-sqrt(-forces[i]/force_const)); + } + } + + //ROS_INFO_STREAM("published force comm!!!"); + + return true; + } + + + bool NonLinearModelPredictiveControllerNode::getCurrentReference( + mav_msgs::EigenTrajectoryPoint* reference) const + { + assert(reference != nullptr); + return nonlinear_mpc_.getCurrentReference(reference); + } + + bool NonLinearModelPredictiveControllerNode::getCurrentReference( + mav_msgs::EigenTrajectoryPointDeque* reference) const + { + assert(reference != nullptr); + return nonlinear_mpc_.getCurrentReference(reference); + } + + bool NonLinearModelPredictiveControllerNode::getPredictedState( + mav_msgs::EigenTrajectoryPointDeque* predicted_state) const + { //ROS_INFO_STREAM("Node: GET pRED STATE!!!"); + assert(predicted_state != nullptr); + return nonlinear_mpc_.getPredictedState(predicted_state); + //return false; + } + +}; + +int main(int argc, char** argv) +{ + ros::init(argc, argv, "NonLinearModelPredictiveControllerNode"); + + ros::NodeHandle nh, private_nh("~"); + + std::shared_ptr mpc( + new mav_control::NonLinearModelPredictiveControllerNode(nh, private_nh)); + + std::shared_ptr rc( + new mav_control_interface::RcInterfaceAci(nh)); + + mav_control_interface::MavControlInterface control_interface(nh, private_nh, mpc, rc); + + + ros::spin(); + + return 0; +} diff --git a/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc~ b/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc~ new file mode 100644 index 0000000..3d5a544 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/src/modified_rodrigues_nmpc_node.cc~ @@ -0,0 +1,198 @@ +/* +Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + +You can contact the author at + +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: +* Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. +* Redistributions in binary form must reproduce the above copyright +notice, this list of conditions and the following disclaimer in the +documentation and/or other materials provided with the distribution. +* Neither the name of ETHZ-ASL nor the +names of its contributors may be used to endorse or promote products +derived from this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND +ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY +DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES +(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND +ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +*/ + +#include +#include +#include +#include +#include + +namespace mav_control { + + NonLinearModelPredictiveControllerNode::NonLinearModelPredictiveControllerNode( + const ros::NodeHandle& nh, const ros::NodeHandle& private_nh) + : nh_(nh), + private_nh_(private_nh), + nonlinear_mpc_(nh, private_nh), + controller_dyn_config_server_(private_nh) + { + dynamic_reconfigure::Server::CallbackType f_controller; + f_controller = boost::bind(&NonLinearModelPredictiveControllerNode::ControllerDynConfigCallback, + this, _1, _2); + controller_dyn_config_server_.setCallback(f_controller); + } + + NonLinearModelPredictiveControllerNode::~NonLinearModelPredictiveControllerNode() + { + + } + + bool NonLinearModelPredictiveControllerNode::setReferenceArray( + const mav_msgs::EigenTrajectoryPointDeque& reference_array) + { ROS_INFO_STREAM("Node: set Reference aRRAY!!!"); + nonlinear_mpc_.setCommandTrajectory(reference_array); + return true; + } + + bool NonLinearModelPredictiveControllerNode::setReference( + const mav_msgs::EigenTrajectoryPoint& reference) + { ROS_INFO_STREAM("Node: set Reference!!!"); + nonlinear_mpc_.setCommandTrajectoryPoint(reference); + return true; + } + + void NonLinearModelPredictiveControllerNode::ControllerDynConfigCallback( + mav_variable_pitch_nmpc::NonLinearMPCConfig &config, uint32_t level) + { + Eigen::Vector3d q_position; + Eigen::Vector3d q_velocity; + Eigen::Vector3d q_attitude; + Eigen::Vector3d q_angVel; + + + Eigen::Vector4d r_command; + Eigen::VectorXd control_limits(2); + + q_position << config.q_x, config.q_y, config.q_z; + q_velocity << config.q_vx, config.q_vy, config.q_vz; + q_attitude << config.q_mrp1, config.q_mrp2, config.q_mrp3; + q_angVel << config.q_wx, config.q_wy, config.q_wz; + + r_command << config.r_f1, config.r_f2, config.r_f3, config.r_f4; + + control_limits << config.force_min, config.force_max; + + + nonlinear_mpc_.setPositionPenality(q_position); + nonlinear_mpc_.setVelocityPenality(q_velocity); + nonlinear_mpc_.setAttitudePenality(q_attitude); + nonlinear_mpc_.setAngVelPenality(q_angVel); + nonlinear_mpc_.setCommandPenality(r_command); + nonlinear_mpc_.setControlLimits(control_limits); + + nonlinear_mpc_.setAltitudeIntratorGain(config.Ki_altitude); + nonlinear_mpc_.setXYIntratorGain(config.Ki_xy); + + + nonlinear_mpc_.setEnableIntegrator(config.enable_integrator); + nonlinear_mpc_.setEnableOffsetFree(config.enable_offset_free); + + nonlinear_mpc_.applyParameters(); + + } + + + + bool NonLinearModelPredictiveControllerNode::setOdometry(const mav_msgs::EigenOdometry& odometry) + { ROS_INFO_STREAM("Node: SET ODOMETRY!!!"); + nonlinear_mpc_.setOdometry(odometry); + return true; + } + +/* bool NonLinearModelPredictiveControllerNode::calculateAttitudeThrustCommand( //Is this needed? + mav_msgs::EigenAttitudeThrust* attitude_thrust_command) + { + ROS_WARN("calculateAttitudeThrustCommand not implemented"); + return false; + }*/ + + bool NonLinearModelPredictiveControllerNode::calculateForcesCommand(mav_msgs::Actuators* forces_command) {//mav_msgs::Actuators* forces_command //edit mav msgs to include struct for EigenForces + ROS_INFO_STREAM("Node: published force comm!!!"); + Eigen::Vector4d normforces, forces; + nonlinear_mpc_.calculateForcesCommand(&normforces, &forces); + //forces << 2.5, 2.5, 2.5, 2.5; + double force_const=8.54858e-06; + + //(*forces_command).normalized.clear(); + (*forces_command).angular_velocities.clear(); + + for (int i = 0; i < forces.size(); i++) //forces.size() + { + //(*forces_command).normalized.push_back(normforces[i]); + if (forces[i] >=0) + { + (*forces_command).angular_velocities.push_back(sqrt(forces[i]/force_const)); + } + else { + (*forces_command).angular_velocities.push_back(sqrt(-forces[i]/force_const)); //used to be -sqrt(-forces[i]/force_const) + } + } + + //(*forces_command).normalized = normforces; + + ROS_INFO_STREAM("published force comm!!!"); + + return true; + } + + + bool NonLinearModelPredictiveControllerNode::getCurrentReference( + mav_msgs::EigenTrajectoryPoint* reference) const + { ROS_INFO_STREAM("Node: GET CURR REF!!!"); + assert(reference != nullptr); + return nonlinear_mpc_.getCurrentReference(reference); + } + + bool NonLinearModelPredictiveControllerNode::getCurrentReference( + mav_msgs::EigenTrajectoryPointDeque* reference) const + { ROS_INFO_STREAM("Node: GET CURR REF POINT DEQUE!!!"); + assert(reference != nullptr); + return nonlinear_mpc_.getCurrentReference(reference); + } + + bool NonLinearModelPredictiveControllerNode::getPredictedState( + mav_msgs::EigenTrajectoryPointDeque* predicted_state) const + { /*ROS_INFO_STREAM("Node: GET pRED STATE!!!"); + assert(predicted_state != nullptr); + return nonlinear_mpc_.getPredictedState(predicted_state);*/ + return false; + } + +}; + +int main(int argc, char** argv) +{ + ros::init(argc, argv, "NonLinearModelPredictiveControllerNode"); + + ros::NodeHandle nh, private_nh("~"); + + std::shared_ptr mpc( + new mav_control::NonLinearModelPredictiveControllerNode(nh, private_nh)); + + std::shared_ptr rc( //What is this for? + new mav_control_interface::RcInterfaceAci(nh)); + + mav_control_interface::MavControlInterface control_interface(nh, private_nh, mpc, rc); + + + ros::spin(); + + return 0; +} diff --git a/mav_modified_rodrigues_nmpc/src/variable_pitch_nmpc.cc~ b/mav_modified_rodrigues_nmpc/src/variable_pitch_nmpc.cc~ new file mode 100644 index 0000000..f517b17 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/src/variable_pitch_nmpc.cc~ @@ -0,0 +1,803 @@ +/* + Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + + You can contact the author at + + All rights reserved. + + Redistribution and use in source and binary forms, with or without + modification, are permitted provided that the following conditions are met: + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright + notice, this list of conditions and the following disclaimer in the + documentation and/or other materials provided with the distribution. + * Neither the name of ETHZ-ASL nor the + names of its contributors may be used to endorse or promote products + derived from this software without specific prior written permission. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND + ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED + WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY + DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES + (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND + ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +#include +#include + +#define PI 3.14159265 + +namespace mav_control { + +constexpr double NonlinearModelPredictiveControl::kGravity; +constexpr int NonlinearModelPredictiveControl::kDisturbanceSize; + +NonlinearModelPredictiveControl::NonlinearModelPredictiveControl(const ros::NodeHandle& nh, + const ros::NodeHandle& private_nh) + : nh_(nh), + private_nh_(private_nh), + initialized_parameters_(false), + position_error_integration_(0, 0, 0), + mpc_queue_(nh, private_nh, ACADO_N+1), + command_f1_f2_f3_f4_(0, 0, 0, 0), + // disturbance_observer_(nh, private_nh), + verbose_(false), + solve_time_average_(0), + received_first_odometry_(false) +{ + + acado_initializeSolver(); + + W_.setZero(); + WN_.setZero(); + + input_.setZero(); + state_.setZero(); + reference_.setZero(); + referenceN_.setZero(); + + reset_integrator_service_server_ = nh_.advertiseService( + "reset_integrator", &NonlinearModelPredictiveControl::resetIntegratorServiceCallback, this); // do we need this? + + initializeParameters(); + + mpc_queue_.initializeQueue(sampling_time_, prediction_sampling_time_); //what is this for? + +} // end of constructor + +NonlinearModelPredictiveControl::~NonlinearModelPredictiveControl() +{ + +} + + +bool NonlinearModelPredictiveControl::resetIntegratorServiceCallback(std_srvs::Empty::Request &req, + std_srvs::Empty::Response &res) +{ + position_error_integration_.setZero(); + return true; +} + + +//initializing onlineData parameters +void NonlinearModelPredictiveControl::initializeParameters() +{ + // std::vector drag_coefficients; + //double drag_coefficient; + std::vector inertia; + + //Get parameters from RosParam server + private_nh_.param("verbose", verbose_, false); + + // Should we also do sanity check for loading of length of arm and yaw_ref from rosparam? + if (!private_nh_.getParam("mass", mass_)) { + ROS_ERROR("mass in nonlinear MPC controller is not loaded from ros parameter " + "server"); + abort(); + } + + /* if (!private_nh_.getParam("roll_time_constant", roll_time_constant_)) { + ROS_ERROR( + "roll_time_constant in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + if (!private_nh_.getParam("roll_gain", roll_gain_)) { + ROS_ERROR("roll_gain in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + if (!private_nh_.getParam("pitch_time_constant", pitch_time_constant_)) { + ROS_ERROR( + "pitch_time_constant in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + if (!private_nh_.getParam("pitch_gain", pitch_gain_)) { + ROS_ERROR("pitch_gain in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } */ + + if (!private_nh_.getParam("inertia", inertia)) { + ROS_ERROR( + "inertia in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + inertia_ << inertia.at(0), inertia.at(1), inertia.at(2); + + if (!private_nh_.getParam("drag_coefficient", drag_coefficient_)) { + ROS_ERROR( + "drag_coefficient in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + // drag_coefficients_ << drag_coefficients.at(0), drag_coefficients.at(1), drag_coefficients.at(2); + + if (!private_nh_.getParam("armlength", armlength_)) { + ROS_ERROR("armlength in nonlinear MPC controller is not loaded from ros parameter " + "server"); + abort(); + } + + if (!private_nh_.getParam("antiwindup_ball", antiwindup_ball_)) { + ROS_ERROR( + "antiwindup_ball in nonlinear MPC controller is not loaded from ros parameter server"); + abort(); + } + + if (!private_nh_.getParam("position_error_integration_limit", + position_error_integration_limit_)) { + ROS_ERROR( + "position_error_integration_limit in nonlinear MPC is not loaded from ros parameter server"); + abort(); + } + + + if (!private_nh_.getParam("sampling_time", sampling_time_)) { + ROS_ERROR("sampling_time in nonlinear MPC is not loaded from ros parameter server"); + abort(); + } + + if (!private_nh_.getParam("prediction_sampling_time", prediction_sampling_time_)) { + ROS_ERROR("prediction_sampling_time in nonlinear MPC is not loaded from ros parameter server"); + abort(); + } + + for (int i = 0; i < ACADO_N + 1; i++) { + acado_online_data_.block(i, 0, 1, ACADO_NOD) << mass_, inertia_(0), inertia_(1), inertia_(2), drag_coefficient_, armlength_, 0, 0, 0, 0; //zero for yaw_ref_.front() and external forces + } + + Eigen::Map>(const_cast(acadoVariables.od)) = + acado_online_data_.transpose(); + + if (verbose_) { + std::cout << "acado online data: " << std::endl << acado_online_data_ << std::endl; + } + + initialized_parameters_ = true; + ROS_INFO("Nonlinear MPC: initialized correctly"); +} + +//applying dyn config parameters +void NonlinearModelPredictiveControl::applyParameters() +{ + W_.block(0, 0, 3, 3) = q_position_.asDiagonal(); + W_.block(3, 3, 3, 3) = q_velocity_.asDiagonal(); + W_.block(6, 6, 3, 3) = q_attitude_.asDiagonal(); + W_.block(9, 9, 3, 3) = q_angVel_.asDiagonal(); + W_.block(12, 12, 4, 4) = r_command_.asDiagonal(); + + /*WN_ = solveCARE((Eigen::VectorXd(6) << q_position_, q_velocity_).finished().asDiagonal(), + r_command_.asDiagonal());*/ + + WN_.block(0, 0, 3, 3) = q_position_.asDiagonal(); // Or add different terminal penalties in dynamic config file + WN_.block(3, 3, 3, 3) = q_velocity_.asDiagonal(); + + Eigen::Map>(const_cast(acadoVariables.W)) = W_.transpose(); + Eigen::Map>(const_cast(acadoVariables.WN)) = WN_.transpose(); + + for (size_t i = 0; i < ACADO_N; ++i) { + /* acadoVariables.lbValues[3 * i] = -roll_limit_; // min roll + acadoVariables.lbValues[3 * i + 1] = -pitch_limit_; // min pitch + acadoVariables.lbValues[3 * i + 2] = thrust_min_; // min thrust + acadoVariables.ubValues[3 * i] = roll_limit_; // max roll + acadoVariables.ubValues[3 * i + 1] = pitch_limit_; // max pitch + acadoVariables.ubValues[3 * i + 2] = thrust_max_; // max thrust */ + acadoVariables.lbValues[i] = force_min_; + acadoVariables.ubValues[i] = force_max_; + } + + if (verbose_) { + std::cout << "q_position_: " << q_position_.transpose() << std::endl; + std::cout << "q_velocity_: " << q_velocity_.transpose() << std::endl; + std::cout << "q_attitude_: " << q_attitude_.transpose() << std::endl; + std::cout << "q_angVel_: " << q_angVel_.transpose() << std::endl; + std::cout << "r_command_: " << r_command_.transpose() << std::endl; + std::cout << "W_N = \n" << WN_ << std::endl; + } +} + +void NonlinearModelPredictiveControl::setOdometry(const mav_msgs::EigenOdometry& odometry) +{ + mpc_queue_.updateQueue(); + mpc_queue_.getQueue(position_ref_, velocity_ref_, acceleration_ref_, yaw_ref_, yaw_rate_ref_); + + //if (verbose_) { + // std::cout << "z position reference: " << std::endl << position_ref_ << std::endl; + // } + + for (int i = 0; i < ACADO_N + 1; i++) { + acado_online_data_.block(i, ACADO_NOD-4, 1, 1) << yaw_ref_.front(); // OR yaw_ref_.at(i) ???? + } + + static mav_msgs::EigenOdometry previous_odometry = odometry; + + Eigen::Quaterniond quat_desired(cos(yaw_ref_.front() / 2), 0, 0, sin(yaw_ref_.front() / 2)); //what about yaw_ref trajectory? + + + if (odometry.position_W.allFinite() == false) { + odometry_.position_W = previous_odometry.position_W; + ROS_WARN("Odometry.position has a non finite element"); + } else { + odometry_.position_W = odometry.position_W; + previous_odometry.position_W = odometry.position_W; // + } + + if (odometry.velocity_B.allFinite() == false) { + odometry_.velocity_B = previous_odometry.velocity_B; + ROS_WARN("Odometry.velocity has a non finite element"); + } else { + odometry_.velocity_B = odometry.velocity_B; + previous_odometry.velocity_B = odometry.velocity_B; + } + + if (odometry.angular_velocity_B.allFinite() == false) { + odometry_.angular_velocity_B = previous_odometry.angular_velocity_B; + ROS_WARN("Odometry.angular_velocity has a non finite element"); + } else { + odometry_.angular_velocity_B = odometry.angular_velocity_B; + previous_odometry.angular_velocity_B = odometry.angular_velocity_B; + } + + odometry_.orientation_W_B = odometry.orientation_W_B; + previous_odometry.orientation_W_B = odometry.orientation_W_B; + + position_error_ = odometry_.position_W - position_ref_.front(); //Should I use.front()? + velocity_error_ = odometry_.getVelocityWorld() - velocity_ref_.front(); + attitude_error_ = quat_desired.conjugate()*odometry_.orientation_W_B; //quat multiplication + angVel_error_ = odometry_.angular_velocity_B; //odometry_.angular_velocity_B - angVel_ref_.front() where angVel_ref is zero 3x1 + + if (!received_first_odometry_) { + // Eigen::Vector3d euler_angles; + // odometry.getEulerAngles(&euler_angles); + + Eigen::VectorXd x0(ACADO_NX); + + // ADD x0= position error, vel error, orient error,... 13x1 vec !!! + x0 << position_error_, velocity_error_, attitude_error_, angVel_error_; // should I insert attitude_error_.w(), attitude_error_.vec() + + initializeAcadoSolver(x0); + + //change observer to estimate quaternions?? + /* disturbance_observer_.reset(odometry.position_W, odometry.getVelocityWorld(), euler_angles, + odometry.angular_velocity_B, Eigen::Vector3d::Zero(), + Eigen::Vector3d::Zero()); */ + + received_first_odometry_ = true; + } +} + +void NonlinearModelPredictiveControl::setCommandTrajectoryPoint( + const mav_msgs::EigenTrajectoryPoint& command_trajectory) +{ + mpc_queue_.insertReference(command_trajectory); +} + +void NonlinearModelPredictiveControl::setCommandTrajectory( + const mav_msgs::EigenTrajectoryPointDeque& command_trajectory) +{ + int array_size = command_trajectory.size(); + if (array_size < 1) + return; + + mpc_queue_.insertReferenceTrajectory(command_trajectory); +} + +void NonlinearModelPredictiveControl::initializeAcadoSolver(Eigen::VectorXd x0) +{ + for (int i = 0; i < ACADO_N + 1; i++) { + state_.block(i, 0, 1, ACADO_NX) << x0.transpose(); + } + + Eigen::Map>(const_cast(acadoVariables.x)) = + state_.transpose(); + Eigen::Map>(const_cast(acadoVariables.u)) = + input_.transpose(); + Eigen::Map>(const_cast(acadoVariables.y)) = + reference_.transpose(); + Eigen::Map>(const_cast(acadoVariables.yN)) = + referenceN_.transpose(); +} + +double NonlinearModelPredictiveControl::normalizeForce(double force) { + return (2 * force - force_max_ - force_min_) / (force_max_ - force_min_); +} + +void NonlinearModelPredictiveControl::calculateForcesCommand( + Eigen::VectorXd* ref_normforces, Eigen::VectorXd* ref_forces) +{ + assert(ref_forces != nullptr); + assert(initialized_parameters_ == true); + ros::WallTime starting_time = ros::WallTime::now(); + + //Eigen::VectorXd KF_estimated_state; + Eigen::Vector3d estimated_disturbances; + Eigen::Matrix x_0; + + estimated_disturbances.setZero(kDisturbanceSize); + + // Eigen::Vector3d current_rpy; + // odometry_.getEulerAngles(¤t_rpy); + +// mpc_queue_.updateQueue(); + // mpc_queue_.getQueue(position_ref_, velocity_ref_, acceleration_ref_, yaw_ref_, yaw_rate_ref_); + + /* disturbance_observer_.feedAttitudeCommand(command_roll_pitch_yaw_thrust_); + disturbance_observer_.feedPositionMeasurement(odometry_.position_W); + disturbance_observer_.feedVelocityMeasurement(odometry_.getVelocityWorld()); + disturbance_observer_.feedRotationMatrix(odometry_.orientation_W_B.toRotationMatrix()); + + bool observer_update_successful = disturbance_observer_.updateEstimator(); + if (!observer_update_successful) { + disturbance_observer_.reset(odometry_.position_W, odometry_.getVelocityWorld(), current_rpy, + Eigen::Vector3d::Zero(), Eigen::Vector3d::Zero(), + Eigen::Vector3d::Zero()); + } + + disturbance_observer_.getEstimatedState(&KF_estimated_state); + + if (enable_offset_free_ == true) { + estimated_disturbances = KF_estimated_state.segment(12, kDisturbanceSize); + } else { + estimated_disturbances.setZero(kDisturbanceSize); + } */ + + if (enable_integrator_) { + Eigen::Vector3d position_error = position_ref_.front() - odometry_.position_W; //should it be odo - ref? + if (position_error.norm() < antiwindup_ball_) { + position_error_integration_ += position_error * sampling_time_; + } else { + position_error_integration_.setZero(); + } + + position_error_integration_ = position_error_integration_.cwiseMax( + Eigen::Vector3d(-position_error_integration_limit_, -position_error_integration_limit_, + -position_error_integration_limit_)); + + position_error_integration_ = position_error_integration_.cwiseMin( + Eigen::Vector3d(position_error_integration_limit_, position_error_integration_limit_, + position_error_integration_limit_)); + + estimated_disturbances -= Eigen::Vector3d(Ki_xy_, Ki_xy_, Ki_altitude_).asDiagonal() + * position_error_integration_; + } + +// double current_yaw = odometry_.getYaw(); + + Eigen::Vector3d estimated_disturbances_B = + odometry_.orientation_W_B.toRotationMatrix().transpose() * estimated_disturbances; + + double u_ref = mass_*kGravity / 4; + for (size_t i = 0; i < ACADO_N; i++) { + /* Eigen::Vector3d acceleration_ref_B = odometry_.orientation_W_B.toRotationMatrix().transpose() * acceleration_ref_[i]; + + Eigen::Vector2d feed_forward( + (-(acceleration_ref_B(1) - estimated_disturbances_B(1)) / kGravity), + ((acceleration_ref_B(0) - estimated_disturbances_B(0)) / kGravity)); + + reference_.block(i, 0, 1, ACADO_NY) << position_ref_[i].transpose(), velocity_ref_[i].transpose(), feed_forward + .transpose(), feed_forward.transpose(), acceleration_ref_[i].z() - estimated_disturbances(2); */ + + reference_.block(i, 0, 1, ACADO_NY) << 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, u_ref, u_ref, u_ref, u_ref; + acado_online_data_.block(i, ACADO_NOD - 3, 1, 3) << estimated_disturbances.transpose(); + } + + //referenceN_ << position_ref_[ACADO_N].transpose(), velocity_ref_[ACADO_N].transpose(); + acado_online_data_.block(ACADO_N, ACADO_NOD - 3, 1, 3) << estimated_disturbances.transpose(); + + referenceN_ << 0, 0, 0, 0, 0, 0; + //x_0 << odometry_.getVelocityWorld(), current_rpy, odometry_.position_W; + x_0 << position_error_, velocity_error_, attitude_error_, angVel_error_; // should I insert attitude_error.w(), attitude_error.vec() + + Eigen::Map>(const_cast(acadoVariables.x0)) = x_0; + Eigen::Map>(const_cast(acadoVariables.y)) = + reference_.transpose(); + Eigen::Map>(const_cast(acadoVariables.yN)) = + referenceN_.transpose(); + Eigen::Map>(const_cast(acadoVariables.od)) = + acado_online_data_.transpose(); + + ros::WallTime time_before_solving = ros::WallTime::now(); + + acado_preparationStep(); + + int acado_status = acado_feedbackStep(); + + solve_time_average_ += (ros::WallTime::now() - time_before_solving).toSec() * 1000.0; + + //double roll_ref = acadoVariables.u[0]; + //double pitch_ref = acadoVariables.u[1]; + //double thrust_ref = acadoVariables.u[2]; + + double f1 = acadoVariables.u[0]; + double f2 = acadoVariables.u[1]; + double f3 = acadoVariables.u[2]; + double f4 = acadoVariables.u[3]; +// double norm_uref = (u_ref / 5) - 1; + double norm_uref = normalizeForce(u_ref); + + if (std::isnan(f1) || std::isnan(f2) || std::isnan(f3) || std::isnan(f4) + || acado_status != 0) { + ROS_WARN_STREAM("Nonlinear MPC: Solver failed with status: " << acado_status); + ROS_WARN("reinitializing..."); + initializeAcadoSolver (x_0); + *ref_forces << u_ref, u_ref, u_ref, u_ref; + *ref_normforces << norm_uref, norm_uref, norm_uref, norm_uref; + return; + } + + command_f1_f2_f3_f4_ << f1, f2, f3, f4; //do we need to store normalized forces? + + state_ = Eigen::Map>( + acadoVariables.x); + +/* // yaw controller + double yaw_error = yaw_ref_.front() - current_yaw; + + if (std::abs(yaw_error) > M_PI) { + if (yaw_error > 0.0) { + yaw_error = yaw_error - 2.0 * M_PI; + } else { + yaw_error = yaw_error + 2.0 * M_PI; + } + } + + double yaw_rate_cmd = K_yaw_ * yaw_error + yaw_rate_ref_.front(); // feed-forward yaw_rate cmd + + if (yaw_rate_cmd > yaw_rate_limit_) { + yaw_rate_cmd = yaw_rate_limit_; + } + + if (yaw_rate_cmd < -yaw_rate_limit_) { + yaw_rate_cmd = -yaw_rate_limit_; + } + + *ref_attitude_thrust = Eigen::Vector4d(roll_ref, pitch_ref, yaw_rate_cmd, mass_ * thrust_ref);*/ + +// *ref_forces = Eigen::Vector4d(normalizeForce(f1), normalizeForce(f2), normalizeForce(f3), normalizeForce(f4)); // what is this for? + *ref_forces << f1, f2, f3, f4; + *ref_forces << normalizeForce(f1), normalizeForce(f2), normalizeForce(f3), normalizeForce(f4); + + double diff_time = (ros::WallTime::now() - starting_time).toSec(); + + if (verbose_) { + static int counter = 0; + if (counter > 100) { + ROS_INFO_STREAM("average solve time: " << solve_time_average_ / counter << " ms"); + solve_time_average_ = 0.0; + + ROS_INFO_STREAM("Controller loop time : " << diff_time*1000.0 << " ms"); + + ROS_INFO_STREAM("f1: " << command_f1_f2_f3_f4_(0) << "\t" << "f2 : \t" << command_f1_f2_f3_f4_(1) << "\t" << "f3 : \t" << command_f1_f2_f3_f4_(2) << "\t" << "f4 \t" << command_f1_f2_f3_f4_(3)); + counter = 0; + } + counter++; + } + +} + + +//void NonlinearModelPredictiveControl::calculateTorqueThrustCommand( +// Eigen::Vector3d* ref_torque, Eigen::Vector3d* ref_thrust) +//{ +// assert(ref_torque != nullptr); +// assert(ref_thrust != nullptr); +// assert(initialized_parameters_ == true); +// ros::WallTime starting_time = ros::WallTime::now(); +// +// //Eigen::VectorXd KF_estimated_state; +// //Eigen::Vector3d estimated_disturbances; +// Eigen::Matrix x_0; +// +// // Eigen::Vector3d current_rpy; +// // odometry_.getEulerAngles(¤t_rpy); +// +// // mpc_queue_.updateQueue(); +// // mpc_queue_.getQueue(position_ref_, velocity_ref_, acceleration_ref_, yaw_ref_, yaw_rate_ref_); +// +// /*disturbance_observer_.feedAttitudeCommand(command_roll_pitch_yaw_thrust_); +// disturbance_observer_.feedPositionMeasurement(odometry_.position_W); +// disturbance_observer_.feedVelocityMeasurement(odometry_.getVelocityWorld()); +// disturbance_observer_.feedRotationMatrix(odometry_.orientation_W_B.toRotationMatrix()); +// +// bool observer_update_successful = disturbance_observer_.updateEstimator(); +// if (!observer_update_successful) { +// disturbance_observer_.reset(odometry_.position_W, odometry_.getVelocityWorld(), current_rpy, +// Eigen::Vector3d::Zero(), Eigen::Vector3d::Zero(), +// Eigen::Vector3d::Zero()); +// } +// +// disturbance_observer_.getEstimatedState(&KF_estimated_state); +// +// if (enable_offset_free_ == true) { +// estimated_disturbances = KF_estimated_state.segment(12, kDisturbanceSize); +// } else { +// estimated_disturbances.setZero(kDisturbanceSize); +// } +// +// if (enable_integrator_) { +// Eigen::Vector3d position_error = position_ref_.front() - odometry_.position_W; +// if (position_error.norm() < antiwindup_ball_) { +// position_error_integration_ += position_error * sampling_time_; +// } else { +// position_error_integration_.setZero(); +// } +// +// position_error_integration_ = position_error_integration_.cwiseMax( +// Eigen::Vector3d(-position_error_integration_limit_, -position_error_integration_limit_, +// -position_error_integration_limit_)); +// +// position_error_integration_ = position_error_integration_.cwiseMin( +// Eigen::Vector3d(position_error_integration_limit_, position_error_integration_limit_, +// position_error_integration_limit_)); +// +// estimated_disturbances -= Eigen::Vector3d(Ki_xy_, Ki_xy_, Ki_altitude_).asDiagonal() +// * position_error_integration_; +// } +// +// double current_yaw = odometry_.getYaw(); +// +// Eigen::Vector3d estimated_disturbances_B = +// odometry_.orientation_W_B.toRotationMatrix().transpose() * estimated_disturbances;*/ +// +// double u_ref = mass_*kGravity / 4; +// for (size_t i = 0; i < ACADO_N; i++) { +// /* Eigen::Vector3d acceleration_ref_B = odometry_.orientation_W_B.toRotationMatrix().transpose() +// * acceleration_ref_[i]; +// +// Eigen::Vector2d feed_forward( +// (-(acceleration_ref_B(1) - estimated_disturbances_B(1)) / kGravity), +// ((acceleration_ref_B(0) - estimated_disturbances_B(0)) / kGravity)); +// +// reference_.block(i, 0, 1, ACADO_NY) << position_ref_[i].transpose(), velocity_ref_[i].transpose(), feed_forward +// .transpose(), feed_forward.transpose(), acceleration_ref_[i].z() - estimated_disturbances(2); */ +// +// reference_.block(i, 0, 1, ACADO_NY) << 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, u_ref, u_ref, u_ref, u_ref; +// // acado_online_data_.block(i, ACADO_NOD - 3, 1, 3) << estimated_disturbances.transpose(); +// } +// +// //referenceN_ << position_ref_[ACADO_N].transpose(), velocity_ref_[ACADO_N].transpose(); +// //acado_online_data_.block(ACADO_N, ACADO_NOD - 3, 1, 3) << estimated_disturbances.transpose(); +// +// referenceN_ << 0, 0, 0, 0, 0, 0; +// //x_0 << odometry_.getVelocityWorld(), current_rpy, odometry_.position_W; +// x_0 << position_error_, velocity_error_, attitude_error_, angVel_error_; // should I insert attitude_error.w(), attitude_error.vec() +// +// Eigen::Map>(const_cast(acadoVariables.x0)) = x_0; +// Eigen::Map>(const_cast(acadoVariables.y)) = +// reference_.transpose(); +// Eigen::Map>(const_cast(acadoVariables.yN)) = +// referenceN_.transpose(); +// Eigen::Map>(const_cast(acadoVariables.od)) = +// acado_online_data_.transpose(); +// +// ros::WallTime time_before_solving = ros::WallTime::now(); +// +// acado_preparationStep(); +// +// int acado_status = acado_feedbackStep(); +// +// solve_time_average_ += (ros::WallTime::now() - time_before_solving).toSec() * 1000.0; +// +// //double roll_ref = acadoVariables.u[0]; +// //double pitch_ref = acadoVariables.u[1]; +// //double thrust_ref = acadoVariables.u[2]; +// +// double f1 = acadoVariables.u[0]; +// double f2 = acadoVariables.u[1]; +// double f3 = acadoVariables.u[2]; +// double f4 = acadoVariables.u[3]; +// +// if (std::isnan(f1) || std::isnan(f2) || std::isnan(f3) || std::isnan(f4) +// || acado_status != 0) { +// ROS_WARN_STREAM("Nonlinear MPC: Solver failed with status: " << acado_status); +// ROS_WARN("reinitializing..."); +// initializeAcadoSolver(x_0); +// *ref_thrust << 0, 0, 4*u_ref; +// *ref_torque << 0, 0, 0; +// +// return; +// } +// +// double armlength = 0.5; +// double total_thrust = f1 + f2 + f3 + f4; +// double roll_moment = (f4 - f2)*armlength; +// double pitch_moment = (f3 - f1)*armlength; +// double yaw_moment = drag_coefficient_*(-f1 + f2 - f3 + f4); +// +// +// command_f1_f2_f3_f4_ << f1, f2, f3, f4; +// command_thrust_ << 0, 0, total_thrust; +// command_torque_ << roll_moment, pitch_moment, yaw_moment; +// +// state_ = Eigen::Map>( +// acadoVariables.x); +// +// /* // yaw controller +// double yaw_error = yaw_ref_.front() - current_yaw; +// +// if (std::abs(yaw_error) > M_PI) { +// if (yaw_error > 0.0) { +// yaw_error = yaw_error - 2.0 * M_PI; +// } else { +// yaw_error = yaw_error + 2.0 * M_PI; +// } +// } +// +// double yaw_rate_cmd = K_yaw_ * yaw_error + yaw_rate_ref_.front(); // feed-forward yaw_rate cmd +// +// if (yaw_rate_cmd > yaw_rate_limit_) { +// yaw_rate_cmd = yaw_rate_limit_; +// } +// +// if (yaw_rate_cmd < -yaw_rate_limit_) { +// yaw_rate_cmd = -yaw_rate_limit_; +// } +// +// *ref_attitude_thrust = Eigen::Vector4d(roll_ref, pitch_ref, yaw_rate_cmd, mass_ * thrust_ref);*/ +// +// *ref_thrust = Eigen::Vector3d(0, 0, total_thrust); // what is this for? +// *ref_torque = Eigen::Vector3d(roll_moment, pitch_moment, yaw_moment); // what is this for +// +// double diff_time = (ros::WallTime::now() - starting_time).toSec(); +// +// if (verbose_) { +// static int counter = 0; +// if (counter > 100) { +// ROS_INFO_STREAM("average solve time: " << solve_time_average_ / counter << " ms"); +// solve_time_average_ = 0.0; +// +// ROS_INFO_STREAM("Controller loop time : " << diff_time*1000.0 << " ms"); +// +// ROS_INFO_STREAM( +// "f1: " << command_f1_f2_f3_f4_(0) << "\t" << "f2 : \t" << command_f1_f2_f3_f4_(1) << "\t" << "f3 : \t" << command_f1_f2_f3_f4_(2) << "\t" << "f4 : \t" << command_f1_f2_f3_f4_(3); +// counter = 0; +// } +// counter++; +// } +// +//} + +/*Eigen::MatrixXd NonlinearModelPredictiveControl::solveCARE(Eigen::MatrixXd Q, Eigen::MatrixXd R) +{ + // Define system matrices + Eigen::MatrixXd A; + A.resize(6, 6); + A.setZero(); + + A.block(0, 3, 3, 3) = Eigen::Matrix3d::Identity(); + A.block(3, 3, 3, 3) = -1.0 * drag_coefficients_.asDiagonal(); + + Eigen::MatrixXd B; + B.resize(6, 3); + B.setZero(); + + B(3, 1) = kGravity; + B(4, 0) = -1.0 * kGravity; + B(5, 2) = 1.0; + + Eigen::MatrixXd G = B * R.inverse() * B.transpose(); + + Eigen::MatrixXd z11 = A; + Eigen::MatrixXd z12 = -1.0 * G; + Eigen::MatrixXd z21 = -1.0 * Q; + Eigen::MatrixXd z22 = -1.0 * A.transpose(); + + Eigen::MatrixXd Z; + Z.resize(z11.rows() + z21.rows(), z11.cols() + z12.cols()); + Z << z11, z12, z21, z22; + + int n = A.cols(); + Eigen::MatrixXd U(2 * n, 2 * n); // Orthogonal matrix from Schur decomposition + Eigen::VectorXd WR(2 * n); + Eigen::VectorXd WI(2 * n); + lapack_int sdim = 0; // Number of eigenvalues for which sort is true + lapack_int info; + info = LAPACKE_dgees(LAPACK_COL_MAJOR, // Eigen default storage order + 'V', // Schur vectors are computed + 'S', // Eigenvalues are sorted + select_lhp, // Ordering callback + Z.rows(), // Dimension of test matrix + Z.data(), // Pointer to first element + Z.rows(), // Leading dimension (column stride) + &sdim, // Number of eigenvalues sort is true + WR.data(), // Real portion of eigenvalues + WI.data(), // Complex portion of eigenvalues + U.data(), // Orthogonal transformation matrix + Z.rows()); // Dimension of Z + + Eigen::MatrixXd U11 = U.block(0, 0, n, n).transpose(); + Eigen::MatrixXd U21 = U.block(n, 0, n, n).transpose(); + + return U11.jacobiSvd(Eigen::ComputeThinU | Eigen::ComputeThinV).solve(U21).transpose(); +}*/ + + +bool NonlinearModelPredictiveControl::getCurrentReference( + mav_msgs::EigenTrajectoryPoint* reference) const +{ + assert(reference != nullptr); + + (*reference).position_W = position_ref_.front(); + (*reference).velocity_W = velocity_ref_.front(); + (*reference).acceleration_W = acceleration_ref_.front(); + // (*reference).angular_velocity_W = angVel_ref_.front(); //shouldnt reference have angular_velocity_B? odometry_.orientation_W_B.toRotationMatrix() * angVel_ref_.front() + (*reference).setFromYaw(yaw_ref_.front()); + // (*reference).setFromYaw(yaw_ref_); + + return true; +} + +bool NonlinearModelPredictiveControl::getCurrentReference( + mav_msgs::EigenTrajectoryPointDeque* reference) const +{ + assert(reference != nullptr); + + (*reference).clear(); + + for (size_t i = 0; i < position_ref_.size(); i++) { + mav_msgs::EigenTrajectoryPoint pnt; + pnt.position_W = position_ref_.at(i); + pnt.velocity_W = velocity_ref_.at(i); + pnt.acceleration_W = acceleration_ref_.at(i); +// pnt.angular_velocity_W = angVel_ref_.at(i); + pnt.setFromYaw(yaw_ref_.at(i)); + (*reference).push_back(pnt); + } + return true; +} + +bool NonlinearModelPredictiveControl::getPredictedState( + mav_msgs::EigenTrajectoryPointDeque* predicted_state) const +{ + assert(predicted_state != nullptr); + + for (size_t i = 0; i < ACADO_N + 1; i++) { + mav_msgs::EigenTrajectoryPoint pnt; + pnt.position_W = state_.block(i, 0, 1, 3).transpose(); + (*predicted_state).push_back(pnt); + } + + return true; +} + + + +/*Eigen::Quaterniond NonlinearModelPredictiveControl::quatMult(Eigen::Quaterniond q1, Eigen::Quaterniond q2) { + Eigen::Quaterniond resultQ; + resultQ.setIdentity(); + + resultQ.w() = q1.w() * q2.w() - q1.vec().dot(q2.vec()); + resultQ.vec() = q1.w() * q2.vec() + q2.w() * q1.vec() + q1.vec().cross(q2.vec()); + + return resultQ; +}*/ + + +} diff --git a/mav_modified_rodrigues_nmpc/src/variable_pitch_nmpc_node.cc~ b/mav_modified_rodrigues_nmpc/src/variable_pitch_nmpc_node.cc~ new file mode 100644 index 0000000..724ef67 --- /dev/null +++ b/mav_modified_rodrigues_nmpc/src/variable_pitch_nmpc_node.cc~ @@ -0,0 +1,206 @@ +/* +Copyright (c) 2015, Mina Kamel, ASL, ETH Zurich, Switzerland + +You can contact the author at + +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: +* Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. +* Redistributions in binary form must reproduce the above copyright +notice, this list of conditions and the following disclaimer in the +documentation and/or other materials provided with the distribution. +* Neither the name of ETHZ-ASL nor the +names of its contributors may be used to endorse or promote products +derived from this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND +ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. IN NO EVENT SHALL ETHZ-ASL BE LIABLE FOR ANY +DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES +(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND +ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +*/ + +#include +#include +#include +#include +#include + +namespace mav_control { + + NonLinearModelPredictiveControllerNode::NonLinearModelPredictiveControllerNode( + const ros::NodeHandle& nh, const ros::NodeHandle& private_nh) + : //nh_(nh), + //private_nh_(private_nh), + nonlinear_mpc_(nh, private_nh), + controller_dyn_config_server_(private_nh) + { +// nonlinear_mpc_.applyParameters(); + //motor_velocity_reference_pub_ = nh_.advertise( +// mav_msgs::default_topics::COMMAND_ACTUATORS, 1); + + dynamic_reconfigure::Server::CallbackType f_controller; + f_controller = boost::bind(&NonLinearModelPredictiveControllerNode::ControllerDynConfigCallback, + this, _1, _2); + controller_dyn_config_server_.setCallback(f_controller); + } + + NonLinearModelPredictiveControllerNode::~NonLinearModelPredictiveControllerNode() + { + + } + + bool NonLinearModelPredictiveControllerNode::setReferenceArray( + const mav_msgs::EigenTrajectoryPointDeque& reference_array) + { + nonlinear_mpc_.setCommandTrajectory(reference_array); + return true; + } + + bool NonLinearModelPredictiveControllerNode::setReference( + const mav_msgs::EigenTrajectoryPoint& reference) + { + nonlinear_mpc_.setCommandTrajectoryPoint(reference); + return true; + } + + void NonLinearModelPredictiveControllerNode::ControllerDynConfigCallback( + mav_variable_pitch_nmpc::NonLinearMPCConfig &config, uint32_t level) + { + Eigen::Vector3d q_position; + Eigen::Vector3d q_velocity; + Eigen::Vector3d q_attitude; + Eigen::Vector3d q_angVel; + + Eigen::Vector4d r_command; + Eigen::VectorXd control_limits(2); + + q_position << config.q_x, config.q_y, config.q_z; + q_velocity << config.q_vx, config.q_vy, config.q_vz; + q_attitude << config.q_q1, config.q_q2, config.q_q3; + q_angVel << config.q_wx, config.q_wy, config.q_wz; + + r_command << config.r_f1, config.r_f2, config.r_f3, config.r_f4; + + control_limits << config.force_min, config.force_max; + + nonlinear_mpc_.setPositionPenality(q_position); + nonlinear_mpc_.setVelocityPenality(q_velocity); + nonlinear_mpc_.setAttitudePenality(q_attitude); + nonlinear_mpc_.setAngVelPenality(q_angVel); + nonlinear_mpc_.setCommandPenality(r_command); + // nonlinear_mpc_.setYawGain(config.K_yaw); + nonlinear_mpc_.setControlLimits(control_limits); + + nonlinear_mpc_.setAltitudeIntratorGain(config.Ki_altitude); + nonlinear_mpc_.setXYIntratorGain(config.Ki_xy); + + nonlinear_mpc_.setEnableIntegrator(config.enable_integrator); + nonlinear_mpc_.setEnableOffsetFree(config.enable_offset_free); + + nonlinear_mpc_.applyParameters(); + + } + + + + bool NonLinearModelPredictiveControllerNode::setOdometry(const mav_msgs::EigenOdometry& odometry) + { + nonlinear_mpc_.setOdometry(odometry); + return true; + } + + bool NonLinearModelPredictiveControllerNode::calculateAttitudeThrustCommand( //Is this needed? + mav_msgs::EigenAttitudeThrust* attitude_thrust_command) + { + ROS_WARN("calculateAttitudeThrustCommand not implemented"); + return false; + } + + bool NonLinearModelPredictiveControllerNode::calculateForcesCommand(mav_msgs::EigenActuators* forces_command) { //edit mav msgs to include struct for EigenForces + Eigen::VectorXd forces; //should it be Eigen::VectorXd? + nonlinear_mpc_.calculateForcesCommand(&forces); + double force_const=8.54858e-06; + + //Eigen::VectorXd angular_vel; + + for (int i = 0; i < forces.size(); i++) + { if (forces[i] >=0) + {forces_command->angular_velocities(i)= sqrt(forces[i]/force_const);} + else {forces_command->angular_velocities(i)= -sqrt(-forces[i]/force_const);} + } + + //forces_command->angular_velocities.push_back(sqrt(forces[i]/force_const);} + + + forces_command->normalized = forces; + + /*mav_msgs::Actuators turning_velocities_msg; + + turning_velocities_msg.normalized.clear(); + for (int i = 0; i < forces.size(); i++) + turning_velocities_msg.normalized.push_back(forces[i]); + turning_velocities_msg.header.stamp = ros::Time::now(); + motor_velocity_reference_pub_.publish(turning_velocities_msg);*/ + return true; + } + + //bool NonLinearModelPredictiveControllerNode::calculateTorqueThrustCommand(mav_msgs::EigenTorqueThrust* torquethrust_command) { //edit mav msgs to include struct for EigenForces + // Eigen::Vector3d torque; + // Eigen::Vector3d thrust; + // nonlinear_mpc_.calculateTorqueThrustCommand(&torque, &thrust); + // torquethrust_command->torque = torque; + // torquethrust_command->thrust = thrust; + // return true; + //} + + + bool NonLinearModelPredictiveControllerNode::getCurrentReference( + mav_msgs::EigenTrajectoryPoint* reference) const + { + assert(reference != nullptr); + return nonlinear_mpc_.getCurrentReference(reference); + } + + bool NonLinearModelPredictiveControllerNode::getCurrentReference( + mav_msgs::EigenTrajectoryPointDeque* reference) const + { + assert(reference != nullptr); + return nonlinear_mpc_.getCurrentReference(reference); + } + + bool NonLinearModelPredictiveControllerNode::getPredictedState( + mav_msgs::EigenTrajectoryPointDeque* predicted_state) const + { + assert(predicted_state != nullptr); + return nonlinear_mpc_.getPredictedState(predicted_state); + } + +}; + +int main(int argc, char** argv) +{ + ros::init(argc, argv, "NonLinearModelPredictiveControllerNode"); + + ros::NodeHandle nh, private_nh("~"); + + std::shared_ptr mpc( + new mav_control::NonLinearModelPredictiveControllerNode(nh, private_nh)); + + std::shared_ptr rc( //What is this for? + new mav_control_interface::RcInterfaceAci(nh)); + + mav_control_interface::MavControlInterface control_interface(nh, private_nh, mpc, rc); + + ros::spin(); + + return 0; +} From ff4b1b3ac381053c1472b82ab77142394475c2ec Mon Sep 17 00:00:00 2001 From: barzanisar Date: Fri, 15 Dec 2017 17:22:52 +0100 Subject: [PATCH 2/3] for testing --- .../solver/acado_common.h | 115 +- .../solver/acado_integrator.c | 396 +-- .../solver/acado_qpoases_interface.cpp | 6 +- .../solver/acado_qpoases_interface.hpp | 6 +- .../solver/acado_solver.c | 2582 +++++++++++------ .../solver/mav_modified_rodrigues_nmpc.cpp | 39 +- .../mav_modified_rodrigues_nmpc_RUN.mexa64 | Bin 8373252 -> 8422404 bytes ...ified_rodrigues_nmpc_data_acadodata_M1.txt | 34 +- 8 files changed, 2033 insertions(+), 1145 deletions(-) diff --git a/mav_modified_rodrigues_nmpc/solver/acado_common.h b/mav_modified_rodrigues_nmpc/solver/acado_common.h index de33877..8dc2038 100644 --- a/mav_modified_rodrigues_nmpc/solver/acado_common.h +++ b/mav_modified_rodrigues_nmpc/solver/acado_common.h @@ -68,7 +68,7 @@ extern "C" /** Number of path constraints. */ #define ACADO_NPAC 0 /** Number of control variables. */ -#define ACADO_NU 4 +#define ACADO_NU 6 /** Number of differential variables. */ #define ACADO_NX 12 /** Number of algebraic variables. */ @@ -76,11 +76,11 @@ extern "C" /** Number of differential derivative variables. */ #define ACADO_NXD 0 /** Number of references/measurements per node on the first N nodes. */ -#define ACADO_NY 16 +#define ACADO_NY 18 /** Number of references/measurements on the last (N + 1)st node. */ #define ACADO_NYN 6 /** Total number of QP optimization variables. */ -#define ACADO_QP_NV 80 +#define ACADO_QP_NV 120 /** Number of integration steps per shooting interval. */ #define ACADO_RK_NIS 1 /** Number of Runge-Kutta stages per integration step. */ @@ -110,11 +110,11 @@ int dummy; */ real_t x[ 252 ]; -/** Matrix of size: 20 x 4 (row major format) +/** Matrix of size: 20 x 6 (row major format) * * Matrix containing 20 control variable vectors. */ -real_t u[ 80 ]; +real_t u[ 120 ]; /** Matrix of size: 21 x 11 (row major format) * @@ -122,11 +122,11 @@ real_t u[ 80 ]; */ real_t od[ 231 ]; -/** Column vector of size: 320 +/** Column vector of size: 360 * - * Matrix containing 20 reference/measurement vectors of size 16 for first 20 nodes. + * Matrix containing 20 reference/measurement vectors of size 18 for first 20 nodes. */ -real_t y[ 320 ]; +real_t y[ 360 ]; /** Column vector of size: 6 * @@ -134,8 +134,8 @@ real_t y[ 320 ]; */ real_t yN[ 6 ]; -/** Matrix of size: 16 x 16 (row major format) */ -real_t W[ 256 ]; +/** Matrix of size: 18 x 18 (row major format) */ +real_t W[ 324 ]; /** Matrix of size: 6 x 6 (row major format) */ real_t WN[ 36 ]; @@ -146,17 +146,29 @@ real_t WN[ 36 ]; */ real_t x0[ 12 ]; -/** Column vector of size: 80 +/** Column vector of size: 120 * * Lower bounds values. */ -real_t lbValues[ 80 ]; +real_t lbValues[ 120 ]; -/** Column vector of size: 80 +/** Column vector of size: 120 * * Upper bounds values. */ -real_t ubValues[ 80 ]; +real_t ubValues[ 120 ]; + +/** Column vector of size: 60 + * + * Lower bounds values for affine constraints. + */ +real_t lbAValues[ 60 ]; + +/** Column vector of size: 60 + * + * Upper bounds values for affine constraints. + */ +real_t ubAValues[ 60 ]; } ACADOvariables; @@ -175,8 +187,8 @@ real_t rhs_aux[ 792 ]; /** Column vector of size: 240 */ real_t d[ 240 ]; -/** Column vector of size: 320 */ -real_t Dy[ 320 ]; +/** Column vector of size: 360 */ +real_t Dy[ 360 ]; /** Column vector of size: 6 */ real_t DyN[ 6 ]; @@ -184,26 +196,26 @@ real_t DyN[ 6 ]; /** Matrix of size: 240 x 12 (row major format) */ real_t evGx[ 2880 ]; -/** Matrix of size: 240 x 4 (row major format) */ -real_t evGu[ 960 ]; +/** Matrix of size: 240 x 6 (row major format) */ +real_t evGu[ 1440 ]; -/** Row vector of size: 27 */ -real_t objValueIn[ 27 ]; +/** Row vector of size: 29 */ +real_t objValueIn[ 29 ]; -/** Row vector of size: 16 */ -real_t objValueOut[ 16 ]; +/** Row vector of size: 18 */ +real_t objValueOut[ 18 ]; /** Matrix of size: 240 x 12 (row major format) */ real_t Q1[ 2880 ]; -/** Matrix of size: 240 x 16 (row major format) */ -real_t Q2[ 3840 ]; +/** Matrix of size: 240 x 18 (row major format) */ +real_t Q2[ 4320 ]; -/** Matrix of size: 80 x 4 (row major format) */ -real_t R1[ 320 ]; +/** Matrix of size: 120 x 6 (row major format) */ +real_t R1[ 720 ]; -/** Matrix of size: 80 x 16 (row major format) */ -real_t R2[ 1280 ]; +/** Matrix of size: 120 x 18 (row major format) */ +real_t R2[ 2160 ]; /** Matrix of size: 12 x 12 (row major format) */ real_t QN1[ 144 ]; @@ -217,14 +229,14 @@ real_t sbar[ 252 ]; /** Column vector of size: 12 */ real_t Dx0[ 12 ]; -/** Matrix of size: 12 x 4 (row major format) */ -real_t W1[ 48 ]; +/** Matrix of size: 12 x 6 (row major format) */ +real_t W1[ 72 ]; -/** Matrix of size: 12 x 4 (row major format) */ -real_t W2[ 48 ]; +/** Matrix of size: 12 x 6 (row major format) */ +real_t W2[ 72 ]; -/** Matrix of size: 2520 x 4 (row major format) */ -real_t E[ 10080 ]; +/** Matrix of size: 2520 x 6 (row major format) */ +real_t E[ 15120 ]; /** Column vector of size: 252 */ real_t QDy[ 252 ]; @@ -235,23 +247,32 @@ real_t w1[ 12 ]; /** Column vector of size: 12 */ real_t w2[ 12 ]; -/** Matrix of size: 80 x 80 (row major format) */ -real_t H[ 6400 ]; +/** Matrix of size: 120 x 120 (row major format) */ +real_t H[ 14400 ]; + +/** Matrix of size: 60 x 120 (row major format) */ +real_t A[ 7200 ]; + +/** Column vector of size: 120 */ +real_t g[ 120 ]; + +/** Column vector of size: 120 */ +real_t lb[ 120 ]; -/** Column vector of size: 80 */ -real_t g[ 80 ]; +/** Column vector of size: 120 */ +real_t ub[ 120 ]; -/** Column vector of size: 80 */ -real_t lb[ 80 ]; +/** Column vector of size: 60 */ +real_t lbA[ 60 ]; -/** Column vector of size: 80 */ -real_t ub[ 80 ]; +/** Column vector of size: 60 */ +real_t ubA[ 60 ]; -/** Column vector of size: 80 */ -real_t x[ 80 ]; +/** Column vector of size: 120 */ +real_t x[ 120 ]; -/** Column vector of size: 80 */ -real_t y[ 80 ]; +/** Column vector of size: 180 */ +real_t y[ 180 ]; } ACADOworkspace; @@ -263,7 +284,7 @@ real_t y[ 80 ]; /** Performs the integration and sensitivity propagation for one shooting interval. * - * \param rk_eta Working array of size 27 to pass the input values and return the results. + * \param rk_eta Working array of size 29 to pass the input values and return the results. * \param resetIntegrator The internal memory of the integrator can be reset. * * \return Status code of the integrator. diff --git a/mav_modified_rodrigues_nmpc/solver/acado_integrator.c b/mav_modified_rodrigues_nmpc/solver/acado_integrator.c index 82c28ff..3fbab6f 100644 --- a/mav_modified_rodrigues_nmpc/solver/acado_integrator.c +++ b/mav_modified_rodrigues_nmpc/solver/acado_integrator.c @@ -30,8 +30,8 @@ real_t auxVar[ 792 ]; real_t rk_ttt; -/** Row vector of size: 27 */ -real_t rk_xxx[ 27 ]; +/** Row vector of size: 29 */ +real_t rk_xxx[ 29 ]; /** Matrix of size: 12 x 2 (row major format) */ real_t rk_kkk[ 24 ]; @@ -48,14 +48,14 @@ int rk_dim24_perm[ 24 ]; /** Column vector of size: 12 */ real_t rk_rhsTemp[ 12 ]; -/** Matrix of size: 2 x 192 (row major format) */ -real_t rk_diffsTemp2[ 384 ]; +/** Matrix of size: 2 x 216 (row major format) */ +real_t rk_diffsTemp2[ 432 ]; /** Matrix of size: 12 x 2 (row major format) */ real_t rk_diffK[ 24 ]; -/** Matrix of size: 12 x 16 (row major format) */ -real_t rk_diffsNew2[ 192 ]; +/** Matrix of size: 12 x 18 (row major format) */ +real_t rk_diffsNew2[ 216 ]; #pragma omp threadprivate( auxVar, rk_ttt, rk_xxx, rk_kkk, rk_diffK, rk_rhsTemp, rk_dim24_perm, rk_A, rk_b, rk_diffsNew2, rk_diffsTemp2, rk_dim24_swap, rk_dim24_bPerm ) @@ -63,7 +63,7 @@ void acado_rhs(const real_t* in, real_t* out) { const real_t* xd = in; const real_t* u = in + 12; -const real_t* od = in + 16; +const real_t* od = in + 18; /* Vector of auxiliary variables; number of elements: 316. */ real_t* a = auxVar; @@ -389,15 +389,15 @@ a[315] = (cos(((real_t)(5.0000000000000000e-01)*od[7]))); out[0] = xd[3]; out[1] = xd[4]; out[2] = xd[5]; -out[3] = (((((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[0])+a[1])+a[2]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[3])+a[4])+a[5]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[9])+a[10])+a[11]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[12])+a[13])+a[14]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[15])+a[16])+a[17]))*((((real_t)(1.0000000000000000e+00)-a[18])-a[19])-a[20]))*(((u[0]+u[1])+u[2])+u[3])))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[21])+a[22])+a[23]))*((((real_t)(1.0000000000000000e+00)-a[24])-a[25])-a[26]))/((((real_t)(1.0000000000000000e+00)+a[27])+a[28])+a[29]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[30])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[31])+a[32])+a[33]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[34])+a[35])+a[36]))*((((real_t)(1.0000000000000000e+00)-a[37])-a[38])-a[39]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[40])+a[41])+a[42]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[43])+a[44])+a[45]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[46])+a[47])+a[48]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[49])+a[50])+a[51]))*((((real_t)(1.0000000000000000e+00)-a[52])-a[53])-a[54]))*(((u[0]+u[1])+u[2])+u[3])))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[55])+a[56])+a[57]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[61]))*a[62])+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[66])+a[67])+a[68]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[69])+a[70])+a[71]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[72])+a[73])+a[74]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[75])+a[76])+a[77]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[78])+a[79])+a[80]))*((((real_t)(1.0000000000000000e+00)-a[81])-a[82])-a[83]))*(((u[0]+u[1])+u[2])+u[3])))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[84])+a[85])+a[86]))*((((real_t)(1.0000000000000000e+00)-a[87])-a[88])-a[89]))/((((real_t)(1.0000000000000000e+00)+a[90])+a[91])+a[92]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[93])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[94])+a[95])+a[96]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[97])+a[98])+a[99]))*((((real_t)(1.0000000000000000e+00)-a[100])-a[101])-a[102]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[103])+a[104])+a[105]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[106])+a[107])+a[108]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[109])+a[110])+a[111]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[112])+a[113])+a[114]))*((((real_t)(1.0000000000000000e+00)-a[115])-a[116])-a[117]))*(((u[0]+u[1])+u[2])+u[3])))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[118])+a[119])+a[120]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[124]))*((real_t)(0.0000000000000000e+00)-a[125])))/od[0])+od[8]); -out[4] = ((((((real_t)(0.0000000000000000e+00)-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[126])+a[127])+a[128]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[129])+a[130])+a[131]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[132])+a[133])+a[134]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[135])+a[136])+a[137]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[138])+a[139])+a[140]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[141])+a[142])+a[143]))*((((real_t)(1.0000000000000000e+00)-a[144])-a[145])-a[146]))*(((u[0]+u[1])+u[2])+u[3])))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[147])+a[148])+a[149]))*((((real_t)(1.0000000000000000e+00)-a[150])-a[151])-a[152]))/((((real_t)(1.0000000000000000e+00)+a[153])+a[154])+a[155]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[156])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[157])+a[158])+a[159]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[160])+a[161])+a[162]))*((((real_t)(1.0000000000000000e+00)-a[163])-a[164])-a[165]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[166])+a[167])+a[168]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[169])+a[170])+a[171]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[172])+a[173])+a[174]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[175])+a[176])+a[177]))*((((real_t)(1.0000000000000000e+00)-a[178])-a[179])-a[180]))*(((u[0]+u[1])+u[2])+u[3])))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[181])+a[182])+a[183]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[184])+a[185])+a[186]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[187])))*((real_t)(0.0000000000000000e+00)-a[188]))+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[192])+a[193])+a[194]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[195])+a[196])+a[197]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[198])+a[199])+a[200]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[204])+a[205])+a[206]))*((((real_t)(1.0000000000000000e+00)-a[207])-a[208])-a[209]))*(((u[0]+u[1])+u[2])+u[3])))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[210])+a[211])+a[212]))*((((real_t)(1.0000000000000000e+00)-a[213])-a[214])-a[215]))/((((real_t)(1.0000000000000000e+00)+a[216])+a[217])+a[218]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[219])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[220])+a[221])+a[222]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[223])+a[224])+a[225]))*((((real_t)(1.0000000000000000e+00)-a[226])-a[227])-a[228]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[229])+a[230])+a[231]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[232])+a[233])+a[234]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[235])+a[236])+a[237]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[238])+a[239])+a[240]))*((((real_t)(1.0000000000000000e+00)-a[241])-a[242])-a[243]))*(((u[0]+u[1])+u[2])+u[3])))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[244])+a[245])+a[246]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[247])+a[248])+a[249]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[250]))*a[251]))/od[0])+od[9]); -out[5] = (((((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[252])+a[253])+a[254]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[255])+a[256])+a[257]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[258])+a[259])+a[260]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[261])+a[262])+a[263]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[264])+a[265])+a[266]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[267])+a[268])+a[269]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[270])+a[271])+a[272]))*((((real_t)(1.0000000000000000e+00)-a[273])-a[274])-a[275]))/((((real_t)(1.0000000000000000e+00)+a[276])+a[277])+a[278]))*((((real_t)(1.0000000000000000e+00)-a[279])-a[280])-a[281]))*(((u[0]+u[1])+u[2])+u[3])))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0])))*a[282])*((real_t)(0.0000000000000000e+00)-a[283]))+((((((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[284])+a[285])+a[286]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[287])+a[288])+a[289]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[290])+a[291])+a[292]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[293])+a[294])+a[295]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[296])+a[297])+a[298]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[299])+a[300])+a[301]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[302])+a[303])+a[304]))*((((real_t)(1.0000000000000000e+00)-a[305])-a[306])-a[307]))/((((real_t)(1.0000000000000000e+00)+a[308])+a[309])+a[310]))*((((real_t)(1.0000000000000000e+00)-a[311])-a[312])-a[313]))*(((u[0]+u[1])+u[2])+u[3])))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))-((real_t)(2.4516499999999999e+00)*od[0]))*a[314])*a[315]))/od[0])+od[10]); +out[3] = 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)*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[72])+a[73])+a[74]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[75])+a[76])+a[77]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[78])+a[79])+a[80]))*((((real_t)(1.0000000000000000e+00)-a[81])-a[82])-a[83]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5]))))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[84])+a[85])+a[86]))*((((real_t)(1.0000000000000000e+00)-a[87])-a[88])-a[89]))/((((real_t)(1.0000000000000000e+00)+a[90])+a[91])+a[92]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[93])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[94])+a[95])+a[96]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[97])+a[98])+a[99]))*((((real_t)(1.0000000000000000e+00)-a[100])-a[101])-a[102]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[103])+a[104])+a[105]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[106])+a[107])+a[108]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[109])+a[110])+a[111]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[112])+a[113])+a[114]))*((((real_t)(1.0000000000000000e+00)-a[115])-a[116])-a[117]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5]))))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[118])+a[119])+a[120]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[124]))*((real_t)(0.0000000000000000e+00)-a[125])))/od[0])+od[8]); +out[4] = ((((((real_t)(0.0000000000000000e+00)-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[126])+a[127])+a[128]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[129])+a[130])+a[131]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[132])+a[133])+a[134]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[135])+a[136])+a[137]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[138])+a[139])+a[140]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[141])+a[142])+a[143]))*((((real_t)(1.0000000000000000e+00)-a[144])-a[145])-a[146]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5]))))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[147])+a[148])+a[149]))*((((real_t)(1.0000000000000000e+00)-a[150])-a[151])-a[152]))/((((real_t)(1.0000000000000000e+00)+a[153])+a[154])+a[155]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[156])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[157])+a[158])+a[159]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[160])+a[161])+a[162]))*((((real_t)(1.0000000000000000e+00)-a[163])-a[164])-a[165]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[166])+a[167])+a[168]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[169])+a[170])+a[171]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[172])+a[173])+a[174]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[175])+a[176])+a[177]))*((((real_t)(1.0000000000000000e+00)-a[178])-a[179])-a[180]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5]))))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[181])+a[182])+a[183]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[184])+a[185])+a[186]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[187])))*((real_t)(0.0000000000000000e+00)-a[188]))+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[192])+a[193])+a[194]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[195])+a[196])+a[197]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[198])+a[199])+a[200]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[204])+a[205])+a[206]))*((((real_t)(1.0000000000000000e+00)-a[207])-a[208])-a[209]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5]))))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[210])+a[211])+a[212]))*((((real_t)(1.0000000000000000e+00)-a[213])-a[214])-a[215]))/((((real_t)(1.0000000000000000e+00)+a[216])+a[217])+a[218]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[219])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[220])+a[221])+a[222]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[223])+a[224])+a[225]))*((((real_t)(1.0000000000000000e+00)-a[226])-a[227])-a[228]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[229])+a[230])+a[231]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[232])+a[233])+a[234]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[235])+a[236])+a[237]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[238])+a[239])+a[240]))*((((real_t)(1.0000000000000000e+00)-a[241])-a[242])-a[243]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5]))))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[244])+a[245])+a[246]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[247])+a[248])+a[249]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[250]))*a[251]))/od[0])+od[9]); +out[5] = (((((((real_t)(0.0000000000000000e+00)-(((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[252])+a[253])+a[254]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[255])+a[256])+a[257]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[258])+a[259])+a[260]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[261])+a[262])+a[263]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[264])+a[265])+a[266]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[267])+a[268])+a[269]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[270])+a[271])+a[272]))*((((real_t)(1.0000000000000000e+00)-a[273])-a[274])-a[275]))/((((real_t)(1.0000000000000000e+00)+a[276])+a[277])+a[278]))*((((real_t)(1.0000000000000000e+00)-a[279])-a[280])-a[281]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5]))))-((real_t)(9.8065999999999995e+00)*od[0])))*a[282])*((real_t)(0.0000000000000000e+00)-a[283]))+(((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[284])+a[285])+a[286]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[287])+a[288])+a[289]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[290])+a[291])+a[292]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[293])+a[294])+a[295]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[296])+a[297])+a[298]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[299])+a[300])+a[301]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[302])+a[303])+a[304]))*((((real_t)(1.0000000000000000e+00)-a[305])-a[306])-a[307]))/((((real_t)(1.0000000000000000e+00)+a[308])+a[309])+a[310]))*((((real_t)(1.0000000000000000e+00)-a[311])-a[312])-a[313]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5]))))-((real_t)(9.8065999999999995e+00)*od[0]))*a[314])*a[315]))/od[0])+od[10]); out[6] = ((((((((real_t)(0.0000000000000000e+00)-xd[8])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[7]))*(real_t)(2.5000000000000000e-01))*xd[10])+(((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[6]))*(real_t)(2.5000000000000000e-01))*xd[9]))+((((((real_t)(2.0000000000000000e+00)*xd[6])*xd[8])+((real_t)(2.0000000000000000e+00)*xd[7]))*(real_t)(2.5000000000000000e-01))*xd[11])); out[7] = ((((((((real_t)(0.0000000000000000e+00)-xd[6])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[11])+(((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[7]))*(real_t)(2.5000000000000000e-01))*xd[10]))+((((((real_t)(2.0000000000000000e+00)*xd[6])*xd[7])+((real_t)(2.0000000000000000e+00)*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[9])); out[8] = ((((((((real_t)(0.0000000000000000e+00)-xd[7])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[9])+(((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[8])*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[11]))+(((((real_t)(2.0000000000000000e+00)*xd[6])+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01))*xd[10])); -out[9] = (((((u[1]-u[3])*od[5])-((xd[10]*xd[11])*od[3]))+((xd[10]*od[2])*xd[11]))/od[1]); -out[10] = ((((((((real_t)(0.0000000000000000e+00)-u[0])+u[2])*od[5])+(((od[6]+xd[9])*xd[11])*od[3]))-(((od[6]+xd[9])*od[1])*xd[11]))/od[2])+(od[6]*xd[11])); -out[11] = ((((((((real_t)(0.0000000000000000e+00)-(od[6]+xd[9]))*xd[10])*od[2])+(((od[6]+xd[9])*od[1])*xd[10]))+((((u[0]-u[1])+u[2])-u[3])*od[4]))/od[3])-(od[6]*xd[10])); +out[9] = ((((((((((real_t)(-1.4346907889178301e-01)*u[3])+((real_t)(-1.4346907889178301e-01)*u[5]))+((real_t)(-2.8693815778356602e-01)*u[4]))+((real_t)(1.4346907889178301e-01)*u[0]))+((real_t)(1.4346907889178301e-01)*u[2]))+((real_t)(2.8693815778356602e-01)*u[1]))-((xd[10]*xd[11])*od[3]))+((xd[10]*od[2])*xd[11]))/od[1]); +out[10] = (((((((((real_t)(-2.4849573395567601e-01)*u[0])+((real_t)(-2.4849573395567601e-01)*u[5]))+(((od[6]+xd[9])*xd[11])*od[3]))-(((od[6]+xd[9])*od[1])*xd[11]))+((real_t)(2.4849573395567601e-01)*u[2]))+((real_t)(2.4849573395567601e-01)*u[3]))/od[2])+(od[6]*xd[11])); +out[11] = (((((((((((real_t)(-4.1921833497276101e-02)*u[0])+((real_t)(-4.1921833497276101e-02)*u[2]))+((real_t)(-4.1921833497276101e-02)*u[4]))-(((od[6]+xd[9])*xd[10])*od[2]))+(((od[6]+xd[9])*od[1])*xd[10]))+((real_t)(4.1921833497276101e-02)*u[1]))+((real_t)(4.1921833497276101e-02)*u[3]))+((real_t)(4.1921833497276101e-02)*u[5]))/od[3])-(od[6]*xd[10])); } @@ -406,7 +406,7 @@ void acado_diffs(const real_t* in, real_t* out) { const real_t* xd = in; const real_t* u = in + 12; -const real_t* od = in + 16; +const real_t* od = in + 18; /* Vector of auxiliary variables; number of elements: 792. */ real_t* a = auxVar; @@ -1225,9 +1225,9 @@ out[16] = (real_t)(0.0000000000000000e+00); out[17] = (real_t)(0.0000000000000000e+00); out[18] = (real_t)(0.0000000000000000e+00); out[19] = (real_t)(0.0000000000000000e+00); -out[20] = (real_t)(1.0000000000000000e+00); +out[20] = (real_t)(0.0000000000000000e+00); out[21] = (real_t)(0.0000000000000000e+00); -out[22] = (real_t)(0.0000000000000000e+00); +out[22] = (real_t)(1.0000000000000000e+00); out[23] = (real_t)(0.0000000000000000e+00); out[24] = (real_t)(0.0000000000000000e+00); out[25] = (real_t)(0.0000000000000000e+00); @@ -1242,11 +1242,11 @@ out[33] = (real_t)(0.0000000000000000e+00); out[34] = (real_t)(0.0000000000000000e+00); out[35] = (real_t)(0.0000000000000000e+00); out[36] = (real_t)(0.0000000000000000e+00); -out[37] = (real_t)(1.0000000000000000e+00); +out[37] = (real_t)(0.0000000000000000e+00); out[38] = (real_t)(0.0000000000000000e+00); out[39] = (real_t)(0.0000000000000000e+00); out[40] = (real_t)(0.0000000000000000e+00); -out[41] = (real_t)(0.0000000000000000e+00); +out[41] = (real_t)(1.0000000000000000e+00); out[42] = (real_t)(0.0000000000000000e+00); out[43] = (real_t)(0.0000000000000000e+00); out[44] = (real_t)(0.0000000000000000e+00); @@ -1259,76 +1259,76 @@ out[50] = (real_t)(0.0000000000000000e+00); out[51] = (real_t)(0.0000000000000000e+00); out[52] = (real_t)(0.0000000000000000e+00); out[53] = (real_t)(0.0000000000000000e+00); -out[54] = ((((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[0])*a[5]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[9])*a[11]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[12])*a[17]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[21])*a[23]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[24])*a[29]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[33])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[34])*a[35]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((real_t)(0.0000000000000000e+00)-a[39])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[40]*a[45]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((real_t)(0.0000000000000000e+00)-a[49])))*a[53])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))*a[54])*a[55]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[57])*a[62]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*a[66])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[67])*a[68]))*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65]))*((real_t)(0.0000000000000000e+00)-a[72])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[73])*a[78]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[82])*a[84]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[85])*a[90]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00)))*a[94])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[95])*a[96]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((real_t)(0.0000000000000000e+00)-a[100])))*(((u[0]+u[1])+u[2])+u[3])))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[101])*a[106]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[110])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[111])*a[112]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[115])*a[120]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[124])*a[126]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[127])*a[132]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[136])*a[138]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[139])*a[144]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[148])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[149])*a[150]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((real_t)(0.0000000000000000e+00)-a[154])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[155]*a[160]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((real_t)(0.0000000000000000e+00)-a[164])))*a[168])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))*a[169])*a[170]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[172])*a[177]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*a[181])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[182])*a[183]))*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[178])+a[179])+a[180]))*((real_t)(0.0000000000000000e+00)-a[187])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[188])*a[193]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[197])*a[199]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[200])*a[205]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00)))*a[209])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[210])*a[211]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((real_t)(0.0000000000000000e+00)-a[215])))*(((u[0]+u[1])+u[2])+u[3])))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[216])*a[221]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[225])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[226])*a[227]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[230]); -out[55] = (((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[231])*a[5]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[232])*a[11]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[233])*a[17]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[234])*a[23]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[235])*a[29]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00)))*a[33])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[236])*a[35]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((real_t)(0.0000000000000000e+00)-a[237])))*(((u[0]+u[1])+u[2])+u[3])))+((((((((((real_t)(0.0000000000000000e+00)-(a[238]*a[45]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((real_t)(0.0000000000000000e+00)-a[239])))*a[53])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))*a[240])*a[55]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7])+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))*a[56])-(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[241])*a[62]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[66])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[242])*a[68]))*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65]))*((real_t)(0.0000000000000000e+00)-a[243])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[244])*a[78]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[245])*a[84]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[246])*a[90]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[94])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[247])*a[96]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((real_t)(0.0000000000000000e+00)-a[248])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[249])*a[106]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[110])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.00000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-out[56] = (((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[271])*a[5]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[272])*a[11]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00)))))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[273])*a[17]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[274])*a[23]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[275])*a[29]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[33])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[276])*a[35]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((real_t)(0.0000000000000000e+00)-a[277])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[278]*a[45]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((real_t)(0.0000000000000000e+00)-a[279])))*a[53])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))*a[280])*a[55]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[281])*a[62]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[66])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[282])*a[68]))*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[63])+a[64])+a[65]))*((real_t)(0.0000000000000000e+00)-a[283])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[284])*a[78]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[285])*a[84]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[286])*a[90]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[94])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[287])*a[96]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((real_t)(0.0000000000000000e+00)-a[288])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[289])*a[106]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00)))*a[110])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[290])*a[112]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[291])*a[120]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[292])*a[126]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00)))))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[293])*a[132]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[294])*a[138]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[295])*a[144]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[148])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[296])*a[150]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((real_t)(0.0000000000000000e+00)-a[297])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[298]*a[160]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((real_t)(0.0000000000000000e+00)-a[299])))*a[168])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))*a[300])*a[170]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[301])*a[177]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[181])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[302])*a[183]))*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[178])+a[179])+a[180]))*((real_t)(0.0000000000000000e+00)-a[303])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[304])*a[193]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[305])*a[199]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[306])*a[205]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[209])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[307])*a[211]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((real_t)(0.0000000000000000e+00)-a[308])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[309])*a[221]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00)))*a[225])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[310])*a[227]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[230]); +out[54] = (real_t)(0.0000000000000000e+00); +out[55] = (real_t)(0.0000000000000000e+00); +out[56] = (real_t)(0.0000000000000000e+00); out[57] = (real_t)(0.0000000000000000e+00); out[58] = (real_t)(0.0000000000000000e+00); out[59] = (real_t)(0.0000000000000000e+00); -out[60] = (((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); -out[61] = (((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); -out[62] = (((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); -out[63] = (((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[60] = 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+out[63] = (real_t)(0.0000000000000000e+00); out[64] = (real_t)(0.0000000000000000e+00); out[65] = (real_t)(0.0000000000000000e+00); -out[66] = (real_t)(0.0000000000000000e+00); -out[67] = (real_t)(0.0000000000000000e+00); -out[68] = (real_t)(0.0000000000000000e+00); -out[69] = (real_t)(0.0000000000000000e+00); -out[70] = 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5])*a[420]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[424])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[425])*a[426]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[429])*a[434]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[438])*a[440]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[441])*a[446]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[450])*a[452]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[453])*a[458]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[462])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[463])*a[464]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((real_t)(0.0000000000000000e+00)-a[468])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[469]*a[474]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((real_t)(0.0000000000000000e+00)-a[478])))*a[482])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))*a[483])*a[484]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[486])*a[491]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*a[495])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[496])*a[497]))*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[492])+a[493])+a[494]))*((real_t)(0.0000000000000000e+00)-a[501])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[502])*a[507]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[511])*a[513]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[514])*a[519]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00)))*a[523])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[524])*a[525]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((real_t)(0.0000000000000000e+00)-a[529])))*(((u[0]+u[1])+u[2])+u[3])))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[530])*a[535]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[539])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[540])*a[541]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[544]); -out[71] = (((((real_t)(0.0000000000000000e+00)-((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[545])*a[319]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[546])*a[325]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[547])*a[331]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[548])*a[337]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[549])*a[343]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00)))*a[347])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[550])*a[349]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((real_t)(0.0000000000000000e+00)-a[551])))*(((u[0]+u[1])+u[2])+u[3])))+((((((((((real_t)(0.0000000000000000e+00)-(a[552]*a[359]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((real_t)(0.0000000000000000e+00)-a[553])))*a[367])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))*a[554])*a[369]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7])+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))*a[370])-(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[555])*a[376]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[380])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[556])*a[382]))*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[377])+a[378])+a[379]))*((real_t)(0.0000000000000000e+00)-a[557])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[558])*a[392]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[559])*a[398]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[560])*a[404]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[408])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[561])*a[410]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((real_t)(0.0000000000000000e+00)-a[562])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[563])*a[420]))*(real_t)(2.0000000000000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-out[72] = (((((real_t)(0.0000000000000000e+00)-((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[585])*a[319]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[586])*a[325]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00)))))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[587])*a[331]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[588])*a[337]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[589])*a[343]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[347])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[590])*a[349]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((real_t)(0.0000000000000000e+00)-a[591])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[592]*a[359]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((real_t)(0.0000000000000000e+00)-a[593])))*a[367])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))*a[594])*a[369]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[595])*a[376]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[380])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[596])*a[382]))*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[377])+a[378])+a[379]))*((real_t)(0.0000000000000000e+00)-a[597])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[598])*a[392]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[599])*a[398]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[600])*a[404]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[408])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[601])*a[410]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((real_t)(0.0000000000000000e+00)-a[602])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[603])*a[420]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00)))*a[424])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[604])*a[426]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[605])*a[434]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[606])*a[440]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00)))))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[607])*a[446]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[608])*a[452]))*(real_t)(2.0000000000000000e+00))*xd[6]))))-(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[609])*a[458]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[462])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[610])*a[464]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((real_t)(0.0000000000000000e+00)-a[611])))*(((u[0]+u[1])+u[2])+u[3])))+(((((((((real_t)(0.0000000000000000e+00)-(a[612]*a[474]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((real_t)(0.0000000000000000e+00)-a[613])))*a[482])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))*a[614])*a[484]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+(((((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[615])*a[491]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[495])-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[616])*a[497]))*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[492])+a[493])+a[494]))*((real_t)(0.0000000000000000e+00)-a[617])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[618])*a[507]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[619])*a[513]))*(real_t)(2.0000000000000000e+00))*xd[7]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[620])*a[519]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[523])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[621])*a[525]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((real_t)(0.0000000000000000e+00)-a[622])))*(((u[0]+u[1])+u[2])+u[3])))-((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[623])*a[535]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00)))*a[539])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])*a[624])*a[541]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[544]); +out[66] = ((((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[67] = ((((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[68] = ((((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[69] = ((((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[70] = ((((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[71] = ((((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[1])+a[2])+a[3]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[6])+a[7])+a[8]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[13])+a[14])+a[15]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[18])+a[19])+a[20]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[25])+a[26])+a[27]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[30])+a[31])+a[32]))*((((real_t)(1.0000000000000000e+00)-a[36])-a[37])-a[38]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[41])+a[42])+a[43]))*((((real_t)(1.0000000000000000e+00)-a[46])-a[47])-a[48]))/((((real_t)(1.0000000000000000e+00)+a[50])+a[51])+a[52]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[56])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[58])+a[59])+a[60]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[311])*((((real_t)(1.0000000000000000e+00)-a[69])-a[70])-a[71]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[74])+a[75])+a[76]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[79])+a[80])+a[81]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[86])+a[87])+a[88]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[91])+a[92])+a[93]))*((((real_t)(1.0000000000000000e+00)-a[97])-a[98])-a[99]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[102])+a[103])+a[104]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[107])+a[108])+a[109]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[113]))*a[114])+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[116])+a[117])+a[118]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[121])+a[122])+a[123]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[128])+a[129])+a[130]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[133])+a[134])+a[135]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[140])+a[141])+a[142]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[145])+a[146])+a[147]))*((((real_t)(1.0000000000000000e+00)-a[151])-a[152])-a[153]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[156])+a[157])+a[158]))*((((real_t)(1.0000000000000000e+00)-a[161])-a[162])-a[163]))/((((real_t)(1.0000000000000000e+00)+a[165])+a[166])+a[167]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[171])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[173])+a[174])+a[175]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[312])*((((real_t)(1.0000000000000000e+00)-a[184])-a[185])-a[186]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[189])+a[190])+a[191]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[194])+a[195])+a[196]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[201])+a[202])+a[203]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[206])+a[207])+a[208]))*((((real_t)(1.0000000000000000e+00)-a[212])-a[213])-a[214]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[217])+a[218])+a[219]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[222])+a[223])+a[224]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[228]))*((real_t)(0.0000000000000000e+00)-a[229])))*a[313]); +out[72] = (real_t)(0.0000000000000000e+00); out[73] = (real_t)(0.0000000000000000e+00); out[74] = (real_t)(0.0000000000000000e+00); out[75] = (real_t)(0.0000000000000000e+00); -out[76] = (((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); -out[77] = (((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); -out[78] = (((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); -out[79] = (((((real_t)(0.0000000000000000e+00)-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467])))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); 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out[81] = (real_t)(0.0000000000000000e+00); out[82] = (real_t)(0.0000000000000000e+00); out[83] = (real_t)(0.0000000000000000e+00); -out[84] = (real_t)(0.0000000000000000e+00); -out[85] = (real_t)(0.0000000000000000e+00); -out[86] = 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0000000e+00)-a[731])))*a[735])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))*a[736])*a[737]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((real_t)(0.0000000000000000e+00)-a[741])))*(((u[0]+u[1])+u[2])+u[3])))*a[742])*a[743]))*a[744]); -out[87] = ((((((real_t)(0.0000000000000000e+00)-(((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[745])*a[633]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[746])*a[639]))*(real_t)(2.0000000000000000e+00))*xd[6])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[747])*a[645]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[748])*a[651]))*(real_t)(2.0000000000000000e+00))*xd[8]))))+(((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[749])*a[657]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00)))*a[661])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[750])*a[663]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))+(((((((((real_t)(0.0000000000000000e+00)-(a[751]*a[669]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((real_t)(0.0000000000000000e+00)-a[752])))*a[677])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))*a[753])*a[679]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((real_t)(0.0000000000000000e+00)-a[754])))*(((u[0]+u[1])+u[2])+u[3]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+(((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[755])*a[691]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[756])*a[697]))*(real_t)(2.0000000000000000e+00))*xd[6])))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[757])*a[703]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[758])*a[709]))*(real_t)(2.0000000000000000e+00))*xd[8]))))+(((((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[759])*a[715]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00)))*a[719])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[760])*a[721]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7])+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))))+(((((((((real_t)(0.0000000000000000e+00)-(a[761]*a[727]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((real_t)(0.0000000000000000e+00)-a[762])))*a[735])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))*a[763])*a[737]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((real_t)(0.0000000000000000e+00)-a[764])))*(((u[0]+u[1])+u[2])+u[3])))*a[742])*a[743]))*a[744]); -out[88] = ((((((real_t)(0.0000000000000000e+00)-(((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[765])*a[633]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[766])*a[639]))*(real_t)(2.0000000000000000e+00))*xd[6])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[767])*a[645]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[768])*a[651]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[769])*a[657]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[661])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[770])*a[663]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((((((real_t)(0.0000000000000000e+00)-(a[771]*a[669]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((real_t)(0.0000000000000000e+00)-a[772])))*a[677])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))*a[773])*a[679]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((real_t)(0.0000000000000000e+00)-a[774])))*(((u[0]+u[1])+u[2])+u[3]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+(((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[775])*a[691]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[776])*a[697]))*(real_t)(2.0000000000000000e+00))*xd[6])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[777])*a[703]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[778])*a[709]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[779])*a[715]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[719])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[780])*a[721]))*(((u[0]+u[1])+u[2])+u[3]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((((((real_t)(0.0000000000000000e+00)-(a[781]*a[727]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((real_t)(0.0000000000000000e+00)-a[782])))*a[735])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))*a[783])*a[737]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((real_t)(0.0000000000000000e+00)-a[784])))*(((u[0]+u[1])+u[2])+u[3])))*a[742])*a[743]))*a[744]); -out[89] = (real_t)(0.0000000000000000e+00); +out[84] = (((((real_t)(0.0000000000000000e+00)-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); +out[85] = (((((real_t)(0.0000000000000000e+00)-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); +out[86] = (((((real_t)(0.0000000000000000e+00)-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); +out[87] = (((((real_t)(0.0000000000000000e+00)-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); +out[88] = (((((real_t)(0.0000000000000000e+00)-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); +out[89] = (((((real_t)(0.0000000000000000e+00)-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[315])+a[316])+a[317]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[320])+a[321])+a[322]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[327])+a[328])+a[329]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[332])+a[333])+a[334]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[339])+a[340])+a[341]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[344])+a[345])+a[346]))*((((real_t)(1.0000000000000000e+00)-a[350])-a[351])-a[352]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[355])+a[356])+a[357]))*((((real_t)(1.0000000000000000e+00)-a[360])-a[361])-a[362]))/((((real_t)(1.0000000000000000e+00)+a[364])+a[365])+a[366]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[370])-(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[372])+a[373])+a[374]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[625])*((((real_t)(1.0000000000000000e+00)-a[383])-a[384])-a[385]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[388])+a[389])+a[390]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[393])+a[394])+a[395]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[400])+a[401])+a[402]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[405])+a[406])+a[407]))*((((real_t)(1.0000000000000000e+00)-a[411])-a[412])-a[413]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[416])+a[417])+a[418]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[421])+a[422])+a[423]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[427])))*((real_t)(0.0000000000000000e+00)-a[428]))+((((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[430])+a[431])+a[432]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[435])+a[436])+a[437]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[442])+a[443])+a[444]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[447])+a[448])+a[449]))*(real_t)(2.0000000000000000e+00))*xd[6])))-(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[454])+a[455])+a[456]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[459])+a[460])+a[461]))*((((real_t)(1.0000000000000000e+00)-a[465])-a[466])-a[467]))*(real_t)(9.9619469809174599e-01)))+(((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[470])+a[471])+a[472]))*((((real_t)(1.0000000000000000e+00)-a[475])-a[476])-a[477]))/((((real_t)(1.0000000000000000e+00)+a[479])+a[480])+a[481]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[485])+(((((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[487])+a[488])+a[489]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6])*a[626])*((((real_t)(1.0000000000000000e+00)-a[498])-a[499])-a[500]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[503])+a[504])+a[505]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[508])+a[509])+a[510]))*(real_t)(2.0000000000000000e+00))*xd[7])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[515])+a[516])+a[517]))*(real_t)(2.0000000000000000e+00))*xd[6])/((((real_t)(1.0000000000000000e+00)+a[520])+a[521])+a[522]))*((((real_t)(1.0000000000000000e+00)-a[526])-a[527])-a[528]))*(real_t)(9.9619469809174599e-01)))-((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[531])+a[532])+a[533]))*(real_t)(2.0000000000000000e+00))*xd[8])/((((real_t)(1.0000000000000000e+00)+a[536])+a[537])+a[538]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))*a[542]))*a[543]))*a[627]); out[90] = (real_t)(0.0000000000000000e+00); out[91] = (real_t)(0.0000000000000000e+00); -out[92] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740])))*a[742])*a[743]))*a[785]); -out[93] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740])))*a[742])*a[743]))*a[785]); -out[94] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740])))*a[742])*a[743]))*a[785]); -out[95] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+(((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740])))*a[742])*a[743]))*a[785]); -out[96] = (real_t)(0.0000000000000000e+00); -out[97] = (real_t)(0.0000000000000000e+00); -out[98] = (real_t)(0.0000000000000000e+00); +out[92] = (real_t)(0.0000000000000000e+00); +out[93] = (real_t)(0.0000000000000000e+00); +out[94] = (real_t)(0.0000000000000000e+00); +out[95] = (real_t)(0.0000000000000000e+00); +out[96] = ((((((real_t)(0.0000000000000000e+00)-(((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[628])*a[633]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6]))*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[637])*a[639]))*(real_t)(2.0000000000000000e+00))*xd[6])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00)))))+(((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[640])*a[645]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[649])*a[651]))*(real_t)(2.0000000000000000e+00))*xd[8]))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[652])*a[657]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[661])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[662])*a[663]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((((((real_t)(0.0000000000000000e+00)-(a[664]*a[669]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((real_t)(0.0000000000000000e+00)-a[673])))*a[677])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))*a[678])*a[679]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((real_t)(0.0000000000000000e+00)-a[683])))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+(((((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[686])*a[691]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+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+out[97] = 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+out[98] = ((((((real_t)(0.0000000000000000e+00)-(((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[765])*a[633]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[766])*a[639]))*(real_t)(2.0000000000000000e+00))*xd[6])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[767])*a[645]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[768])*a[651]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[769])*a[657]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[661])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[770])*a[663]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((((((real_t)(0.0000000000000000e+00)-(a[771]*a[669]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((real_t)(0.0000000000000000e+00)-a[772])))*a[677])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))*a[773])*a[679]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((real_t)(0.0000000000000000e+00)-a[774])))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+(((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[775])*a[691]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+(((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[776])*a[697]))*(real_t)(2.0000000000000000e+00))*xd[6])))+((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[777])*a[703]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])+((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00)))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[8])*(((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[778])*a[709]))*(real_t)(2.0000000000000000e+00))*xd[8])+(((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))))))+(((((((((real_t)(0.0000000000000000e+00)-(((real_t)(-1.0000000000000000e+00)*a[779])*a[715]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[719])-((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])*a[780])*a[721]))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5])))*(real_t)(2.0000000000000000e+00))*xd[7]))+(((((((((real_t)(0.0000000000000000e+00)-(a[781]*a[727]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))+(((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((real_t)(0.0000000000000000e+00)-a[782])))*a[735])-(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))*a[783])*a[737]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))+(((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((real_t)(0.0000000000000000e+00)-a[784])))*(((((((real_t)(9.9619469809174599e-01)*u[0])+((real_t)(9.9619469809174599e-01)*u[1]))+((real_t)(9.9619469809174599e-01)*u[2]))+((real_t)(9.9619469809174599e-01)*u[3]))+((real_t)(9.9619469809174599e-01)*u[4]))+((real_t)(9.9619469809174599e-01)*u[5]))))*a[742])*a[743]))*a[744]); out[99] = (real_t)(0.0000000000000000e+00); out[100] = (real_t)(0.0000000000000000e+00); out[101] = (real_t)(0.0000000000000000e+00); -out[102] = ((((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[10])+(((((real_t)(0.0000000000000000e+00)-(xd[6]+xd[6]))+(((real_t)(2.0000000000000000e+00)*xd[6])+((real_t)(2.0000000000000000e+00)*xd[6])))*(real_t)(2.5000000000000000e-01))*xd[9]))+((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[11])); -out[103] = ((((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[10])+((((real_t)(0.0000000000000000e+00)-(xd[7]+xd[7]))*(real_t)(2.5000000000000000e-01))*xd[9]))+(((real_t)(5.0000000000000000e-01))*xd[11])); -out[104] = (((((real_t)(-5.0000000000000000e-01))*xd[10])+((((real_t)(0.0000000000000000e+00)-(xd[8]+xd[8]))*(real_t)(2.5000000000000000e-01))*xd[9]))+((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[11])); -out[105] = ((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[6]))*(real_t)(2.5000000000000000e-01)); -out[106] = (((((real_t)(0.0000000000000000e+00)-xd[8])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[7]))*(real_t)(2.5000000000000000e-01)); -out[107] = (((((real_t)(2.0000000000000000e+00)*xd[6])*xd[8])+((real_t)(2.0000000000000000e+00)*xd[7]))*(real_t)(2.5000000000000000e-01)); +out[102] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))*(real_t)(9.9619469809174599e-01))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))*(real_t)(9.9619469809174599e-01)))*a[742])*a[743]))*a[785]); +out[103] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))*(real_t)(9.9619469809174599e-01))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))*(real_t)(9.9619469809174599e-01)))*a[742])*a[743]))*a[785]); +out[104] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))*(real_t)(9.9619469809174599e-01))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))*(real_t)(9.9619469809174599e-01)))*a[742])*a[743]))*a[785]); +out[105] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))*(real_t)(9.9619469809174599e-01))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))*(real_t)(9.9619469809174599e-01)))*a[742])*a[743]))*a[785]); +out[106] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))*(real_t)(9.9619469809174599e-01))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))*(real_t)(9.9619469809174599e-01)))*a[742])*a[743]))*a[785]); +out[107] = ((((((real_t)(0.0000000000000000e+00)-((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[629])+a[630])+a[631]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[634])+a[635])+a[636]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[641])+a[642])+a[643]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[646])+a[647])+a[648]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[653])+a[654])+a[655]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[658])+a[659])+a[660]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[665])+a[666])+a[667]))*((((real_t)(1.0000000000000000e+00)-a[670])-a[671])-a[672]))/((((real_t)(1.0000000000000000e+00)+a[674])+a[675])+a[676]))*((((real_t)(1.0000000000000000e+00)-a[680])-a[681])-a[682]))*(real_t)(9.9619469809174599e-01))))*a[684])*((real_t)(0.0000000000000000e+00)-a[685]))+((((((((real_t)(0.0000000000000000e+00)-(((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[687])+a[688])+a[689]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[6]))*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[692])+a[693])+a[694]))*(real_t)(2.0000000000000000e+00))*xd[6]))+((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[699])+a[700])+a[701]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[8])*((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[704])+a[705])+a[706]))*(real_t)(2.0000000000000000e+00))*xd[8])))+((((((((real_t)(-1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[711])+a[712])+a[713]))*(real_t)(2.0000000000000000e+00))*xd[7])/((((real_t)(1.0000000000000000e+00)+a[716])+a[717])+a[718]))*(real_t)(9.9619469809174599e-01))*(real_t)(2.0000000000000000e+00))*xd[7]))+((((((real_t)(1.0000000000000000e+00)/((((real_t)(1.0000000000000000e+00)+a[723])+a[724])+a[725]))*((((real_t)(1.0000000000000000e+00)-a[728])-a[729])-a[730]))/((((real_t)(1.0000000000000000e+00)+a[732])+a[733])+a[734]))*((((real_t)(1.0000000000000000e+00)-a[738])-a[739])-a[740]))*(real_t)(9.9619469809174599e-01)))*a[742])*a[743]))*a[785]); out[108] = (real_t)(0.0000000000000000e+00); out[109] = (real_t)(0.0000000000000000e+00); out[110] = (real_t)(0.0000000000000000e+00); out[111] = (real_t)(0.0000000000000000e+00); out[112] = (real_t)(0.0000000000000000e+00); out[113] = (real_t)(0.0000000000000000e+00); -out[114] = (real_t)(0.0000000000000000e+00); -out[115] = (real_t)(0.0000000000000000e+00); -out[116] = (real_t)(0.0000000000000000e+00); -out[117] = (real_t)(0.0000000000000000e+00); -out[118] = (((((real_t)(-5.0000000000000000e-01))*xd[11])+((((real_t)(0.0000000000000000e+00)-(xd[6]+xd[6]))*(real_t)(2.5000000000000000e-01))*xd[10]))+((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[9])); -out[119] = ((((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[11])+(((((real_t)(0.0000000000000000e+00)-(xd[7]+xd[7]))+(((real_t)(2.0000000000000000e+00)*xd[7])+((real_t)(2.0000000000000000e+00)*xd[7])))*(real_t)(2.5000000000000000e-01))*xd[10]))+((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[9])); -out[120] = ((((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[11])+((((real_t)(0.0000000000000000e+00)-(xd[8]+xd[8]))*(real_t)(2.5000000000000000e-01))*xd[10]))+(((real_t)(5.0000000000000000e-01))*xd[9])); -out[121] = (((((real_t)(2.0000000000000000e+00)*xd[6])*xd[7])+((real_t)(2.0000000000000000e+00)*xd[8]))*(real_t)(2.5000000000000000e-01)); -out[122] = ((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[7]))*(real_t)(2.5000000000000000e-01)); -out[123] = (((((real_t)(0.0000000000000000e+00)-xd[6])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[114] = ((((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[10])+(((((real_t)(0.0000000000000000e+00)-(xd[6]+xd[6]))+(((real_t)(2.0000000000000000e+00)*xd[6])+((real_t)(2.0000000000000000e+00)*xd[6])))*(real_t)(2.5000000000000000e-01))*xd[9]))+((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[11])); +out[115] = ((((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[10])+((((real_t)(0.0000000000000000e+00)-(xd[7]+xd[7]))*(real_t)(2.5000000000000000e-01))*xd[9]))+(((real_t)(5.0000000000000000e-01))*xd[11])); +out[116] = (((((real_t)(-5.0000000000000000e-01))*xd[10])+((((real_t)(0.0000000000000000e+00)-(xd[8]+xd[8]))*(real_t)(2.5000000000000000e-01))*xd[9]))+((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[11])); +out[117] = ((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[6]))*(real_t)(2.5000000000000000e-01)); +out[118] = (((((real_t)(0.0000000000000000e+00)-xd[8])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[7]))*(real_t)(2.5000000000000000e-01)); +out[119] = (((((real_t)(2.0000000000000000e+00)*xd[6])*xd[8])+((real_t)(2.0000000000000000e+00)*xd[7]))*(real_t)(2.5000000000000000e-01)); +out[120] = (real_t)(0.0000000000000000e+00); +out[121] = (real_t)(0.0000000000000000e+00); +out[122] = (real_t)(0.0000000000000000e+00); +out[123] = (real_t)(0.0000000000000000e+00); out[124] = (real_t)(0.0000000000000000e+00); out[125] = (real_t)(0.0000000000000000e+00); out[126] = (real_t)(0.0000000000000000e+00); @@ -1337,14 +1337,14 @@ out[128] = (real_t)(0.0000000000000000e+00); out[129] = (real_t)(0.0000000000000000e+00); out[130] = (real_t)(0.0000000000000000e+00); out[131] = (real_t)(0.0000000000000000e+00); -out[132] = (real_t)(0.0000000000000000e+00); -out[133] = (real_t)(0.0000000000000000e+00); -out[134] = ((((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[9])+((((real_t)(0.0000000000000000e+00)-(xd[6]+xd[6]))*(real_t)(2.5000000000000000e-01))*xd[11]))+(((real_t)(5.0000000000000000e-01))*xd[10])); -out[135] = (((((real_t)(-5.0000000000000000e-01))*xd[9])+((((real_t)(0.0000000000000000e+00)-(xd[7]+xd[7]))*(real_t)(2.5000000000000000e-01))*xd[11]))+((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[10])); -out[136] = ((((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[9])+(((((real_t)(0.0000000000000000e+00)-(xd[8]+xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[8])+((real_t)(2.0000000000000000e+00)*xd[8])))*(real_t)(2.5000000000000000e-01))*xd[11]))+((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[10])); -out[137] = (((((real_t)(0.0000000000000000e+00)-xd[7])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[8]))*(real_t)(2.5000000000000000e-01)); -out[138] = ((((real_t)(2.0000000000000000e+00)*xd[6])+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01)); -out[139] = ((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[8])*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[132] = (((((real_t)(-5.0000000000000000e-01))*xd[11])+((((real_t)(0.0000000000000000e+00)-(xd[6]+xd[6]))*(real_t)(2.5000000000000000e-01))*xd[10]))+((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[9])); +out[133] = ((((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[11])+(((((real_t)(0.0000000000000000e+00)-(xd[7]+xd[7]))+(((real_t)(2.0000000000000000e+00)*xd[7])+((real_t)(2.0000000000000000e+00)*xd[7])))*(real_t)(2.5000000000000000e-01))*xd[10]))+((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[9])); +out[134] = ((((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[11])+((((real_t)(0.0000000000000000e+00)-(xd[8]+xd[8]))*(real_t)(2.5000000000000000e-01))*xd[10]))+(((real_t)(5.0000000000000000e-01))*xd[9])); +out[135] = (((((real_t)(2.0000000000000000e+00)*xd[6])*xd[7])+((real_t)(2.0000000000000000e+00)*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[136] = ((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[7]))*(real_t)(2.5000000000000000e-01)); +out[137] = (((((real_t)(0.0000000000000000e+00)-xd[6])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[138] = (real_t)(0.0000000000000000e+00); +out[139] = (real_t)(0.0000000000000000e+00); out[140] = (real_t)(0.0000000000000000e+00); out[141] = (real_t)(0.0000000000000000e+00); out[142] = (real_t)(0.0000000000000000e+00); @@ -1355,16 +1355,16 @@ out[146] = (real_t)(0.0000000000000000e+00); out[147] = (real_t)(0.0000000000000000e+00); out[148] = (real_t)(0.0000000000000000e+00); out[149] = (real_t)(0.0000000000000000e+00); -out[150] = (real_t)(0.0000000000000000e+00); -out[151] = (real_t)(0.0000000000000000e+00); -out[152] = (real_t)(0.0000000000000000e+00); -out[153] = (real_t)(0.0000000000000000e+00); -out[154] = ((((real_t)(0.0000000000000000e+00)-(xd[11]*od[3]))+(od[2]*xd[11]))*a[786]); -out[155] = ((((real_t)(0.0000000000000000e+00)-(xd[10]*od[3]))+(xd[10]*od[2]))*a[786]); +out[150] = ((((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[9])+((((real_t)(0.0000000000000000e+00)-(xd[6]+xd[6]))*(real_t)(2.5000000000000000e-01))*xd[11]))+(((real_t)(5.0000000000000000e-01))*xd[10])); +out[151] = (((((real_t)(-5.0000000000000000e-01))*xd[9])+((((real_t)(0.0000000000000000e+00)-(xd[7]+xd[7]))*(real_t)(2.5000000000000000e-01))*xd[11]))+((((real_t)(2.0000000000000000e+00)*xd[8])*(real_t)(2.5000000000000000e-01))*xd[10])); +out[152] = ((((((real_t)(2.0000000000000000e+00)*xd[6])*(real_t)(2.5000000000000000e-01))*xd[9])+(((((real_t)(0.0000000000000000e+00)-(xd[8]+xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[8])+((real_t)(2.0000000000000000e+00)*xd[8])))*(real_t)(2.5000000000000000e-01))*xd[11]))+((((real_t)(2.0000000000000000e+00)*xd[7])*(real_t)(2.5000000000000000e-01))*xd[10])); +out[153] = (((((real_t)(0.0000000000000000e+00)-xd[7])*(real_t)(2.0000000000000000e+00))+(((real_t)(2.0000000000000000e+00)*xd[6])*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[154] = ((((real_t)(2.0000000000000000e+00)*xd[6])+(((real_t)(2.0000000000000000e+00)*xd[7])*xd[8]))*(real_t)(2.5000000000000000e-01)); +out[155] = ((((((real_t)(1.0000000000000000e+00)-(xd[6]*xd[6]))-(xd[7]*xd[7]))-(xd[8]*xd[8]))+(((real_t)(2.0000000000000000e+00)*xd[8])*xd[8]))*(real_t)(2.5000000000000000e-01)); out[156] = (real_t)(0.0000000000000000e+00); -out[157] = (od[5]*a[787]); +out[157] = (real_t)(0.0000000000000000e+00); out[158] = (real_t)(0.0000000000000000e+00); -out[159] = ((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*od[5])*a[787]); +out[159] = (real_t)(0.0000000000000000e+00); out[160] = (real_t)(0.0000000000000000e+00); out[161] = (real_t)(0.0000000000000000e+00); out[162] = (real_t)(0.0000000000000000e+00); @@ -1374,29 +1374,53 @@ out[165] = (real_t)(0.0000000000000000e+00); out[166] = (real_t)(0.0000000000000000e+00); out[167] = (real_t)(0.0000000000000000e+00); out[168] = (real_t)(0.0000000000000000e+00); -out[169] = (((xd[11]*od[3])-(od[1]*xd[11]))*a[788]); +out[169] = (real_t)(0.0000000000000000e+00); out[170] = (real_t)(0.0000000000000000e+00); -out[171] = (((((od[6]+xd[9])*od[3])-((od[6]+xd[9])*od[1]))*a[788])+od[6]); -out[172] = ((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*od[5])*a[789]); -out[173] = (real_t)(0.0000000000000000e+00); -out[174] = (od[5]*a[789]); -out[175] = (real_t)(0.0000000000000000e+00); -out[176] = (real_t)(0.0000000000000000e+00); -out[177] = (real_t)(0.0000000000000000e+00); -out[178] = (real_t)(0.0000000000000000e+00); -out[179] = (real_t)(0.0000000000000000e+00); +out[171] = (real_t)(0.0000000000000000e+00); +out[172] = ((((real_t)(0.0000000000000000e+00)-(xd[11]*od[3]))+(od[2]*xd[11]))*a[786]); +out[173] = ((((real_t)(0.0000000000000000e+00)-(xd[10]*od[3]))+(xd[10]*od[2]))*a[786]); +out[174] = ((real_t)(1.4346907889178301e-01)*a[787]); +out[175] = ((real_t)(2.8693815778356602e-01)*a[787]); +out[176] = ((real_t)(1.4346907889178301e-01)*a[787]); +out[177] = ((real_t)(-1.4346907889178301e-01)*a[787]); +out[178] = ((real_t)(-2.8693815778356602e-01)*a[787]); +out[179] = ((real_t)(-1.4346907889178301e-01)*a[787]); out[180] = (real_t)(0.0000000000000000e+00); out[181] = (real_t)(0.0000000000000000e+00); out[182] = (real_t)(0.0000000000000000e+00); out[183] = (real_t)(0.0000000000000000e+00); out[184] = (real_t)(0.0000000000000000e+00); -out[185] = ((((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*xd[10])*od[2])+(od[1]*xd[10]))*a[790]); -out[186] = ((((((real_t)(0.0000000000000000e+00)-(od[6]+xd[9]))*od[2])+((od[6]+xd[9])*od[1]))*a[790])-od[6]); +out[185] = (real_t)(0.0000000000000000e+00); +out[186] = (real_t)(0.0000000000000000e+00); out[187] = (real_t)(0.0000000000000000e+00); -out[188] = (od[4]*a[791]); -out[189] = ((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*od[4])*a[791]); -out[190] = (od[4]*a[791]); -out[191] = ((((real_t)(0.0000000000000000e+00)-(real_t)(1.0000000000000000e+00))*od[4])*a[791]); +out[188] = (real_t)(0.0000000000000000e+00); +out[189] = (((xd[11]*od[3])-(od[1]*xd[11]))*a[788]); +out[190] = (real_t)(0.0000000000000000e+00); +out[191] = (((((od[6]+xd[9])*od[3])-((od[6]+xd[9])*od[1]))*a[788])+od[6]); +out[192] = ((real_t)(-2.4849573395567601e-01)*a[789]); +out[193] = (real_t)(0.0000000000000000e+00); +out[194] = ((real_t)(2.4849573395567601e-01)*a[789]); +out[195] = ((real_t)(2.4849573395567601e-01)*a[789]); +out[196] = (real_t)(0.0000000000000000e+00); +out[197] = ((real_t)(-2.4849573395567601e-01)*a[789]); +out[198] = (real_t)(0.0000000000000000e+00); +out[199] = (real_t)(0.0000000000000000e+00); +out[200] = (real_t)(0.0000000000000000e+00); +out[201] = (real_t)(0.0000000000000000e+00); +out[202] = (real_t)(0.0000000000000000e+00); +out[203] = (real_t)(0.0000000000000000e+00); +out[204] = (real_t)(0.0000000000000000e+00); +out[205] = (real_t)(0.0000000000000000e+00); +out[206] = (real_t)(0.0000000000000000e+00); +out[207] = ((((real_t)(0.0000000000000000e+00)-(xd[10]*od[2]))+(od[1]*xd[10]))*a[790]); +out[208] = (((((real_t)(0.0000000000000000e+00)-((od[6]+xd[9])*od[2]))+((od[6]+xd[9])*od[1]))*a[790])-od[6]); +out[209] = (real_t)(0.0000000000000000e+00); +out[210] = ((real_t)(-4.1921833497276101e-02)*a[791]); +out[211] = ((real_t)(4.1921833497276101e-02)*a[791]); +out[212] = ((real_t)(-4.1921833497276101e-02)*a[791]); +out[213] = ((real_t)(4.1921833497276101e-02)*a[791]); +out[214] = ((real_t)(-4.1921833497276101e-02)*a[791]); +out[215] = ((real_t)(4.1921833497276101e-02)*a[791]); } @@ -2144,21 +2168,23 @@ int tmp_index2; real_t det; rk_ttt = 0.0000000000000000e+00; -rk_xxx[12] = rk_eta[204]; -rk_xxx[13] = rk_eta[205]; -rk_xxx[14] = rk_eta[206]; -rk_xxx[15] = rk_eta[207]; -rk_xxx[16] = rk_eta[208]; -rk_xxx[17] = rk_eta[209]; -rk_xxx[18] = rk_eta[210]; -rk_xxx[19] = rk_eta[211]; -rk_xxx[20] = rk_eta[212]; -rk_xxx[21] = rk_eta[213]; -rk_xxx[22] = rk_eta[214]; -rk_xxx[23] = rk_eta[215]; -rk_xxx[24] = rk_eta[216]; -rk_xxx[25] = rk_eta[217]; -rk_xxx[26] = rk_eta[218]; +rk_xxx[12] = rk_eta[228]; +rk_xxx[13] = rk_eta[229]; +rk_xxx[14] = rk_eta[230]; +rk_xxx[15] = rk_eta[231]; +rk_xxx[16] = rk_eta[232]; +rk_xxx[17] = rk_eta[233]; +rk_xxx[18] = rk_eta[234]; +rk_xxx[19] = rk_eta[235]; +rk_xxx[20] = rk_eta[236]; +rk_xxx[21] = rk_eta[237]; +rk_xxx[22] = rk_eta[238]; +rk_xxx[23] = rk_eta[239]; +rk_xxx[24] = rk_eta[240]; +rk_xxx[25] = rk_eta[241]; +rk_xxx[26] = rk_eta[242]; +rk_xxx[27] = rk_eta[243]; +rk_xxx[28] = rk_eta[244]; for (run = 0; run < 1; ++run) { @@ -2174,35 +2200,35 @@ tmp_index1 = j; rk_xxx[j] += + acado_Ah_mat[run1 * 2]*rk_kkk[tmp_index1 * 2]; rk_xxx[j] += + acado_Ah_mat[run1 * 2 + 1]*rk_kkk[tmp_index1 * 2 + 1]; } -acado_diffs( rk_xxx, &(rk_diffsTemp2[ run1 * 192 ]) ); +acado_diffs( rk_xxx, &(rk_diffsTemp2[ run1 * 216 ]) ); for (j = 0; j < 12; ++j) { tmp_index1 = (run1 * 12) + (j); -rk_A[tmp_index1 * 24] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16)]; -rk_A[tmp_index1 * 24 + 1] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 1)]; -rk_A[tmp_index1 * 24 + 2] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 2)]; -rk_A[tmp_index1 * 24 + 3] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 3)]; -rk_A[tmp_index1 * 24 + 4] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 4)]; -rk_A[tmp_index1 * 24 + 5] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 5)]; -rk_A[tmp_index1 * 24 + 6] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 6)]; -rk_A[tmp_index1 * 24 + 7] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 7)]; -rk_A[tmp_index1 * 24 + 8] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 8)]; -rk_A[tmp_index1 * 24 + 9] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 9)]; -rk_A[tmp_index1 * 24 + 10] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 10)]; -rk_A[tmp_index1 * 24 + 11] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 11)]; +rk_A[tmp_index1 * 24] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18)]; +rk_A[tmp_index1 * 24 + 1] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 1)]; +rk_A[tmp_index1 * 24 + 2] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 2)]; +rk_A[tmp_index1 * 24 + 3] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 3)]; +rk_A[tmp_index1 * 24 + 4] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 4)]; +rk_A[tmp_index1 * 24 + 5] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 5)]; +rk_A[tmp_index1 * 24 + 6] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 6)]; +rk_A[tmp_index1 * 24 + 7] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 7)]; +rk_A[tmp_index1 * 24 + 8] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 8)]; +rk_A[tmp_index1 * 24 + 9] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 9)]; +rk_A[tmp_index1 * 24 + 10] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 10)]; +rk_A[tmp_index1 * 24 + 11] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 11)]; if( 0 == run1 ) rk_A[(tmp_index1 * 24) + (j)] -= 1.0000000000000000e+00; -rk_A[tmp_index1 * 24 + 12] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16)]; -rk_A[tmp_index1 * 24 + 13] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 1)]; -rk_A[tmp_index1 * 24 + 14] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 2)]; -rk_A[tmp_index1 * 24 + 15] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 3)]; -rk_A[tmp_index1 * 24 + 16] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 4)]; -rk_A[tmp_index1 * 24 + 17] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 5)]; -rk_A[tmp_index1 * 24 + 18] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 6)]; -rk_A[tmp_index1 * 24 + 19] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 7)]; -rk_A[tmp_index1 * 24 + 20] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 8)]; -rk_A[tmp_index1 * 24 + 21] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 9)]; -rk_A[tmp_index1 * 24 + 22] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 10)]; -rk_A[tmp_index1 * 24 + 23] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 11)]; +rk_A[tmp_index1 * 24 + 12] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18)]; +rk_A[tmp_index1 * 24 + 13] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 1)]; +rk_A[tmp_index1 * 24 + 14] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 2)]; +rk_A[tmp_index1 * 24 + 15] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 3)]; +rk_A[tmp_index1 * 24 + 16] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 4)]; +rk_A[tmp_index1 * 24 + 17] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 5)]; +rk_A[tmp_index1 * 24 + 18] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 6)]; +rk_A[tmp_index1 * 24 + 19] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 7)]; +rk_A[tmp_index1 * 24 + 20] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 8)]; +rk_A[tmp_index1 * 24 + 21] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 9)]; +rk_A[tmp_index1 * 24 + 22] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 10)]; +rk_A[tmp_index1 * 24 + 23] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 11)]; if( 1 == run1 ) rk_A[(tmp_index1 * 24) + (j + 12)] -= 1.0000000000000000e+00; } acado_rhs( rk_xxx, rk_rhsTemp ); @@ -2288,35 +2314,35 @@ tmp_index1 = j; rk_xxx[j] += + acado_Ah_mat[run1 * 2]*rk_kkk[tmp_index1 * 2]; rk_xxx[j] += + acado_Ah_mat[run1 * 2 + 1]*rk_kkk[tmp_index1 * 2 + 1]; } -acado_diffs( rk_xxx, &(rk_diffsTemp2[ run1 * 192 ]) ); +acado_diffs( rk_xxx, &(rk_diffsTemp2[ run1 * 216 ]) ); for (j = 0; j < 12; ++j) { tmp_index1 = (run1 * 12) + (j); -rk_A[tmp_index1 * 24] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16)]; -rk_A[tmp_index1 * 24 + 1] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 1)]; -rk_A[tmp_index1 * 24 + 2] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 2)]; -rk_A[tmp_index1 * 24 + 3] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 3)]; -rk_A[tmp_index1 * 24 + 4] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 4)]; -rk_A[tmp_index1 * 24 + 5] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 5)]; -rk_A[tmp_index1 * 24 + 6] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 6)]; -rk_A[tmp_index1 * 24 + 7] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 7)]; -rk_A[tmp_index1 * 24 + 8] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 8)]; -rk_A[tmp_index1 * 24 + 9] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 9)]; -rk_A[tmp_index1 * 24 + 10] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 10)]; -rk_A[tmp_index1 * 24 + 11] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 11)]; +rk_A[tmp_index1 * 24] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18)]; +rk_A[tmp_index1 * 24 + 1] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 1)]; +rk_A[tmp_index1 * 24 + 2] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 2)]; +rk_A[tmp_index1 * 24 + 3] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 3)]; +rk_A[tmp_index1 * 24 + 4] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 4)]; +rk_A[tmp_index1 * 24 + 5] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 5)]; +rk_A[tmp_index1 * 24 + 6] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 6)]; +rk_A[tmp_index1 * 24 + 7] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 7)]; +rk_A[tmp_index1 * 24 + 8] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 8)]; +rk_A[tmp_index1 * 24 + 9] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 9)]; +rk_A[tmp_index1 * 24 + 10] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 10)]; +rk_A[tmp_index1 * 24 + 11] = + acado_Ah_mat[run1 * 2]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 11)]; if( 0 == run1 ) rk_A[(tmp_index1 * 24) + (j)] -= 1.0000000000000000e+00; -rk_A[tmp_index1 * 24 + 12] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16)]; -rk_A[tmp_index1 * 24 + 13] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 1)]; -rk_A[tmp_index1 * 24 + 14] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 2)]; -rk_A[tmp_index1 * 24 + 15] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 3)]; -rk_A[tmp_index1 * 24 + 16] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 4)]; -rk_A[tmp_index1 * 24 + 17] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 5)]; -rk_A[tmp_index1 * 24 + 18] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 6)]; -rk_A[tmp_index1 * 24 + 19] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 7)]; -rk_A[tmp_index1 * 24 + 20] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 8)]; -rk_A[tmp_index1 * 24 + 21] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 9)]; -rk_A[tmp_index1 * 24 + 22] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 10)]; -rk_A[tmp_index1 * 24 + 23] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 192) + (j * 16 + 11)]; +rk_A[tmp_index1 * 24 + 12] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18)]; +rk_A[tmp_index1 * 24 + 13] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 1)]; +rk_A[tmp_index1 * 24 + 14] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 2)]; +rk_A[tmp_index1 * 24 + 15] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 3)]; +rk_A[tmp_index1 * 24 + 16] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 4)]; +rk_A[tmp_index1 * 24 + 17] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 5)]; +rk_A[tmp_index1 * 24 + 18] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 6)]; +rk_A[tmp_index1 * 24 + 19] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 7)]; +rk_A[tmp_index1 * 24 + 20] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 8)]; +rk_A[tmp_index1 * 24 + 21] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 9)]; +rk_A[tmp_index1 * 24 + 22] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 10)]; +rk_A[tmp_index1 * 24 + 23] = + acado_Ah_mat[run1 * 2 + 1]*rk_diffsTemp2[(run1 * 216) + (j * 18 + 11)]; if( 1 == run1 ) rk_A[(tmp_index1 * 24) + (j + 12)] -= 1.0000000000000000e+00; } } @@ -2324,18 +2350,18 @@ for (run1 = 0; run1 < 12; ++run1) { for (i = 0; i < 2; ++i) { -rk_b[i * 12] = - rk_diffsTemp2[(i * 192) + (run1)]; -rk_b[i * 12 + 1] = - rk_diffsTemp2[(i * 192) + (run1 + 16)]; -rk_b[i * 12 + 2] = - rk_diffsTemp2[(i * 192) + (run1 + 32)]; -rk_b[i * 12 + 3] = - rk_diffsTemp2[(i * 192) + (run1 + 48)]; -rk_b[i * 12 + 4] = - rk_diffsTemp2[(i * 192) + (run1 + 64)]; -rk_b[i * 12 + 5] = - rk_diffsTemp2[(i * 192) + (run1 + 80)]; -rk_b[i * 12 + 6] = - rk_diffsTemp2[(i * 192) + (run1 + 96)]; -rk_b[i * 12 + 7] = - rk_diffsTemp2[(i * 192) + (run1 + 112)]; -rk_b[i * 12 + 8] = - rk_diffsTemp2[(i * 192) + (run1 + 128)]; -rk_b[i * 12 + 9] = - rk_diffsTemp2[(i * 192) + (run1 + 144)]; -rk_b[i * 12 + 10] = - rk_diffsTemp2[(i * 192) + (run1 + 160)]; -rk_b[i * 12 + 11] = - rk_diffsTemp2[(i * 192) + (run1 + 176)]; +rk_b[i * 12] = - rk_diffsTemp2[(i * 216) + (run1)]; +rk_b[i * 12 + 1] = - rk_diffsTemp2[(i * 216) + (run1 + 18)]; +rk_b[i * 12 + 2] = - rk_diffsTemp2[(i * 216) + (run1 + 36)]; +rk_b[i * 12 + 3] = - rk_diffsTemp2[(i * 216) + (run1 + 54)]; +rk_b[i * 12 + 4] = - rk_diffsTemp2[(i * 216) + (run1 + 72)]; +rk_b[i * 12 + 5] = - rk_diffsTemp2[(i * 216) + (run1 + 90)]; +rk_b[i * 12 + 6] = - rk_diffsTemp2[(i * 216) + (run1 + 108)]; +rk_b[i * 12 + 7] = - rk_diffsTemp2[(i * 216) + (run1 + 126)]; +rk_b[i * 12 + 8] = - rk_diffsTemp2[(i * 216) + (run1 + 144)]; +rk_b[i * 12 + 9] = - rk_diffsTemp2[(i * 216) + (run1 + 162)]; +rk_b[i * 12 + 10] = - rk_diffsTemp2[(i * 216) + (run1 + 180)]; +rk_b[i * 12 + 11] = - rk_diffsTemp2[(i * 216) + (run1 + 198)]; } if( 0 == run1 ) { det = acado_solve_dim24_system( rk_A, rk_b, rk_dim24_perm ); @@ -2360,19 +2386,19 @@ rk_diffK[i + 22] = rk_b[i * 12 + 11]; } for (i = 0; i < 12; ++i) { -rk_diffsNew2[(i * 16) + (run1)] = (i == run1-0); -rk_diffsNew2[(i * 16) + (run1)] += + rk_diffK[i * 2]*(real_t)5.0000000000000003e-02 + rk_diffK[i * 2 + 1]*(real_t)5.0000000000000003e-02; +rk_diffsNew2[(i * 18) + (run1)] = (i == run1-0); +rk_diffsNew2[(i * 18) + (run1)] += + rk_diffK[i * 2]*(real_t)5.0000000000000003e-02 + rk_diffK[i * 2 + 1]*(real_t)5.0000000000000003e-02; } } -for (run1 = 0; run1 < 4; ++run1) +for (run1 = 0; run1 < 6; ++run1) { for (i = 0; i < 2; ++i) { for (j = 0; j < 12; ++j) { tmp_index1 = (i * 12) + (j); -tmp_index2 = (run1) + (j * 16); -rk_b[tmp_index1] = - rk_diffsTemp2[(i * 192) + (tmp_index2 + 12)]; +tmp_index2 = (run1) + (j * 18); +rk_b[tmp_index1] = - rk_diffsTemp2[(i * 216) + (tmp_index2 + 12)]; } } acado_solve_dim24_system_reuse( rk_A, rk_b, rk_dim24_perm ); @@ -2393,7 +2419,7 @@ rk_diffK[i + 22] = rk_b[i * 12 + 11]; } for (i = 0; i < 12; ++i) { -rk_diffsNew2[(i * 16) + (run1 + 12)] = + rk_diffK[i * 2]*(real_t)5.0000000000000003e-02 + rk_diffK[i * 2 + 1]*(real_t)5.0000000000000003e-02; +rk_diffsNew2[(i * 18) + (run1 + 12)] = + rk_diffK[i * 2]*(real_t)5.0000000000000003e-02 + rk_diffK[i * 2 + 1]*(real_t)5.0000000000000003e-02; } } rk_eta[0] += + rk_kkk[0]*(real_t)5.0000000000000003e-02 + rk_kkk[1]*(real_t)5.0000000000000003e-02; @@ -2413,12 +2439,12 @@ for (i = 0; i < 12; ++i) for (j = 0; j < 12; ++j) { tmp_index2 = (j) + (i * 12); -rk_eta[tmp_index2 + 12] = rk_diffsNew2[(i * 16) + (j)]; +rk_eta[tmp_index2 + 12] = rk_diffsNew2[(i * 18) + (j)]; } -for (j = 0; j < 4; ++j) +for (j = 0; j < 6; ++j) { -tmp_index2 = (j) + (i * 4); -rk_eta[tmp_index2 + 156] = rk_diffsNew2[(i * 16) + (j + 12)]; +tmp_index2 = (j) + (i * 6); +rk_eta[tmp_index2 + 156] = rk_diffsNew2[(i * 18) + (j + 12)]; } } resetIntegrator = 0; diff --git a/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.cpp b/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.cpp index a645efd..f855d37 100644 --- a/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.cpp +++ b/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.cpp @@ -22,7 +22,7 @@ extern "C" #include "acado_common.h" } -#include "INCLUDE/QProblemB.hpp" +#include "INCLUDE/QProblem.hpp" #if ACADO_COMPUTE_COVARIANCE_MATRIX == 1 #include "INCLUDE/EXTRAS/SolutionAnalysis.hpp" @@ -40,9 +40,9 @@ int acado_solve( void ) { acado_nWSR = QPOASES_NWSRMAX; - QProblemB qp( 80 ); + QProblem qp(120, 60); - returnValue retVal = qp.init(acadoWorkspace.H, acadoWorkspace.g, acadoWorkspace.lb, acadoWorkspace.ub, acado_nWSR); + returnValue retVal = qp.init(acadoWorkspace.H, acadoWorkspace.g, acadoWorkspace.A, acadoWorkspace.lb, acadoWorkspace.ub, acadoWorkspace.lbA, acadoWorkspace.ubA, acado_nWSR); qp.getPrimalSolution( acadoWorkspace.x ); qp.getDualSolution( acadoWorkspace.y ); diff --git a/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.hpp b/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.hpp index 49870d8..105239b 100644 --- a/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.hpp +++ b/mav_modified_rodrigues_nmpc/solver/acado_qpoases_interface.hpp @@ -37,11 +37,11 @@ */ /** Maximum number of optimization variables. */ -#define QPOASES_NVMAX 80 +#define QPOASES_NVMAX 120 /** Maximum number of constraints. */ -#define QPOASES_NCMAX 0 +#define QPOASES_NCMAX 60 /** Maximum number of working set recalculations. */ -#define QPOASES_NWSRMAX 240 +#define QPOASES_NWSRMAX 540 /** Print level for qpOASES. */ #define QPOASES_PRINTLEVEL PL_NONE /** The value of EPS */ diff --git a/mav_modified_rodrigues_nmpc/solver/acado_solver.c b/mav_modified_rodrigues_nmpc/solver/acado_solver.c index 3ffbc5e..dda4d7a 100644 --- a/mav_modified_rodrigues_nmpc/solver/acado_solver.c +++ b/mav_modified_rodrigues_nmpc/solver/acado_solver.c @@ -29,8 +29,8 @@ /******************************************************************************/ -/** Row vector of size: 219 */ -real_t state[ 219 ]; +/** Row vector of size: 245 */ +real_t state[ 245 ]; int acado_modelSimulation( ) { @@ -55,21 +55,23 @@ state[9] = acadoVariables.x[lRun1 * 12 + 9]; state[10] = acadoVariables.x[lRun1 * 12 + 10]; state[11] = acadoVariables.x[lRun1 * 12 + 11]; -state[204] = acadoVariables.u[lRun1 * 4]; -state[205] = acadoVariables.u[lRun1 * 4 + 1]; -state[206] = acadoVariables.u[lRun1 * 4 + 2]; -state[207] = acadoVariables.u[lRun1 * 4 + 3]; -state[208] = acadoVariables.od[lRun1 * 11]; -state[209] = acadoVariables.od[lRun1 * 11 + 1]; -state[210] = acadoVariables.od[lRun1 * 11 + 2]; -state[211] = acadoVariables.od[lRun1 * 11 + 3]; -state[212] = acadoVariables.od[lRun1 * 11 + 4]; -state[213] = acadoVariables.od[lRun1 * 11 + 5]; -state[214] = acadoVariables.od[lRun1 * 11 + 6]; -state[215] = acadoVariables.od[lRun1 * 11 + 7]; -state[216] = acadoVariables.od[lRun1 * 11 + 8]; -state[217] = acadoVariables.od[lRun1 * 11 + 9]; -state[218] = acadoVariables.od[lRun1 * 11 + 10]; +state[228] = acadoVariables.u[lRun1 * 6]; +state[229] = acadoVariables.u[lRun1 * 6 + 1]; +state[230] = acadoVariables.u[lRun1 * 6 + 2]; +state[231] = acadoVariables.u[lRun1 * 6 + 3]; +state[232] = acadoVariables.u[lRun1 * 6 + 4]; +state[233] = acadoVariables.u[lRun1 * 6 + 5]; +state[234] = acadoVariables.od[lRun1 * 11]; +state[235] = acadoVariables.od[lRun1 * 11 + 1]; +state[236] = acadoVariables.od[lRun1 * 11 + 2]; +state[237] = acadoVariables.od[lRun1 * 11 + 3]; +state[238] = acadoVariables.od[lRun1 * 11 + 4]; +state[239] = acadoVariables.od[lRun1 * 11 + 5]; +state[240] = acadoVariables.od[lRun1 * 11 + 6]; +state[241] = acadoVariables.od[lRun1 * 11 + 7]; +state[242] = acadoVariables.od[lRun1 * 11 + 8]; +state[243] = acadoVariables.od[lRun1 * 11 + 9]; +state[244] = acadoVariables.od[lRun1 * 11 + 10]; ret = acado_integrate(state, 1); @@ -90,54 +92,78 @@ for (lRun2 = 0; lRun2 < 144; ++lRun2) acadoWorkspace.evGx[(0) + ((lRun2) + (lRun1 * 144))] = state[lRun2 + 12]; -acadoWorkspace.evGu[lRun1 * 48] = state[156]; -acadoWorkspace.evGu[lRun1 * 48 + 1] = state[157]; -acadoWorkspace.evGu[lRun1 * 48 + 2] = state[158]; -acadoWorkspace.evGu[lRun1 * 48 + 3] = state[159]; -acadoWorkspace.evGu[lRun1 * 48 + 4] = state[160]; -acadoWorkspace.evGu[lRun1 * 48 + 5] = state[161]; -acadoWorkspace.evGu[lRun1 * 48 + 6] = state[162]; -acadoWorkspace.evGu[lRun1 * 48 + 7] = state[163]; -acadoWorkspace.evGu[lRun1 * 48 + 8] = state[164]; -acadoWorkspace.evGu[lRun1 * 48 + 9] = state[165]; -acadoWorkspace.evGu[lRun1 * 48 + 10] = state[166]; -acadoWorkspace.evGu[lRun1 * 48 + 11] = state[167]; -acadoWorkspace.evGu[lRun1 * 48 + 12] = state[168]; -acadoWorkspace.evGu[lRun1 * 48 + 13] = state[169]; -acadoWorkspace.evGu[lRun1 * 48 + 14] = state[170]; -acadoWorkspace.evGu[lRun1 * 48 + 15] = state[171]; -acadoWorkspace.evGu[lRun1 * 48 + 16] = state[172]; -acadoWorkspace.evGu[lRun1 * 48 + 17] = state[173]; -acadoWorkspace.evGu[lRun1 * 48 + 18] = state[174]; -acadoWorkspace.evGu[lRun1 * 48 + 19] = state[175]; -acadoWorkspace.evGu[lRun1 * 48 + 20] = state[176]; -acadoWorkspace.evGu[lRun1 * 48 + 21] = state[177]; -acadoWorkspace.evGu[lRun1 * 48 + 22] = state[178]; -acadoWorkspace.evGu[lRun1 * 48 + 23] = state[179]; -acadoWorkspace.evGu[lRun1 * 48 + 24] = state[180]; -acadoWorkspace.evGu[lRun1 * 48 + 25] = state[181]; -acadoWorkspace.evGu[lRun1 * 48 + 26] = state[182]; -acadoWorkspace.evGu[lRun1 * 48 + 27] = state[183]; -acadoWorkspace.evGu[lRun1 * 48 + 28] = state[184]; -acadoWorkspace.evGu[lRun1 * 48 + 29] = state[185]; -acadoWorkspace.evGu[lRun1 * 48 + 30] = state[186]; -acadoWorkspace.evGu[lRun1 * 48 + 31] = state[187]; -acadoWorkspace.evGu[lRun1 * 48 + 32] = state[188]; -acadoWorkspace.evGu[lRun1 * 48 + 33] = state[189]; -acadoWorkspace.evGu[lRun1 * 48 + 34] = state[190]; -acadoWorkspace.evGu[lRun1 * 48 + 35] = state[191]; -acadoWorkspace.evGu[lRun1 * 48 + 36] = state[192]; -acadoWorkspace.evGu[lRun1 * 48 + 37] = state[193]; -acadoWorkspace.evGu[lRun1 * 48 + 38] = state[194]; -acadoWorkspace.evGu[lRun1 * 48 + 39] = state[195]; -acadoWorkspace.evGu[lRun1 * 48 + 40] = state[196]; -acadoWorkspace.evGu[lRun1 * 48 + 41] = state[197]; -acadoWorkspace.evGu[lRun1 * 48 + 42] = state[198]; -acadoWorkspace.evGu[lRun1 * 48 + 43] = state[199]; -acadoWorkspace.evGu[lRun1 * 48 + 44] = state[200]; -acadoWorkspace.evGu[lRun1 * 48 + 45] = state[201]; -acadoWorkspace.evGu[lRun1 * 48 + 46] = state[202]; -acadoWorkspace.evGu[lRun1 * 48 + 47] = state[203]; +acadoWorkspace.evGu[lRun1 * 72] = state[156]; +acadoWorkspace.evGu[lRun1 * 72 + 1] = state[157]; +acadoWorkspace.evGu[lRun1 * 72 + 2] = state[158]; +acadoWorkspace.evGu[lRun1 * 72 + 3] = state[159]; +acadoWorkspace.evGu[lRun1 * 72 + 4] = state[160]; +acadoWorkspace.evGu[lRun1 * 72 + 5] = state[161]; +acadoWorkspace.evGu[lRun1 * 72 + 6] = state[162]; +acadoWorkspace.evGu[lRun1 * 72 + 7] = state[163]; +acadoWorkspace.evGu[lRun1 * 72 + 8] = state[164]; +acadoWorkspace.evGu[lRun1 * 72 + 9] = state[165]; +acadoWorkspace.evGu[lRun1 * 72 + 10] = state[166]; +acadoWorkspace.evGu[lRun1 * 72 + 11] = state[167]; +acadoWorkspace.evGu[lRun1 * 72 + 12] = state[168]; +acadoWorkspace.evGu[lRun1 * 72 + 13] = state[169]; +acadoWorkspace.evGu[lRun1 * 72 + 14] = state[170]; +acadoWorkspace.evGu[lRun1 * 72 + 15] = state[171]; +acadoWorkspace.evGu[lRun1 * 72 + 16] = state[172]; +acadoWorkspace.evGu[lRun1 * 72 + 17] = state[173]; +acadoWorkspace.evGu[lRun1 * 72 + 18] = state[174]; +acadoWorkspace.evGu[lRun1 * 72 + 19] = state[175]; +acadoWorkspace.evGu[lRun1 * 72 + 20] = state[176]; +acadoWorkspace.evGu[lRun1 * 72 + 21] = state[177]; +acadoWorkspace.evGu[lRun1 * 72 + 22] = state[178]; +acadoWorkspace.evGu[lRun1 * 72 + 23] = state[179]; +acadoWorkspace.evGu[lRun1 * 72 + 24] = state[180]; +acadoWorkspace.evGu[lRun1 * 72 + 25] = state[181]; +acadoWorkspace.evGu[lRun1 * 72 + 26] = state[182]; +acadoWorkspace.evGu[lRun1 * 72 + 27] = state[183]; +acadoWorkspace.evGu[lRun1 * 72 + 28] = state[184]; +acadoWorkspace.evGu[lRun1 * 72 + 29] = state[185]; +acadoWorkspace.evGu[lRun1 * 72 + 30] = state[186]; +acadoWorkspace.evGu[lRun1 * 72 + 31] = state[187]; +acadoWorkspace.evGu[lRun1 * 72 + 32] = state[188]; +acadoWorkspace.evGu[lRun1 * 72 + 33] = state[189]; +acadoWorkspace.evGu[lRun1 * 72 + 34] = state[190]; +acadoWorkspace.evGu[lRun1 * 72 + 35] = state[191]; +acadoWorkspace.evGu[lRun1 * 72 + 36] = state[192]; +acadoWorkspace.evGu[lRun1 * 72 + 37] = state[193]; +acadoWorkspace.evGu[lRun1 * 72 + 38] = state[194]; +acadoWorkspace.evGu[lRun1 * 72 + 39] = state[195]; +acadoWorkspace.evGu[lRun1 * 72 + 40] = state[196]; +acadoWorkspace.evGu[lRun1 * 72 + 41] = state[197]; +acadoWorkspace.evGu[lRun1 * 72 + 42] = state[198]; +acadoWorkspace.evGu[lRun1 * 72 + 43] = state[199]; +acadoWorkspace.evGu[lRun1 * 72 + 44] = state[200]; +acadoWorkspace.evGu[lRun1 * 72 + 45] = state[201]; +acadoWorkspace.evGu[lRun1 * 72 + 46] = state[202]; +acadoWorkspace.evGu[lRun1 * 72 + 47] = state[203]; +acadoWorkspace.evGu[lRun1 * 72 + 48] = state[204]; +acadoWorkspace.evGu[lRun1 * 72 + 49] = state[205]; +acadoWorkspace.evGu[lRun1 * 72 + 50] = state[206]; +acadoWorkspace.evGu[lRun1 * 72 + 51] = state[207]; +acadoWorkspace.evGu[lRun1 * 72 + 52] = state[208]; +acadoWorkspace.evGu[lRun1 * 72 + 53] = state[209]; +acadoWorkspace.evGu[lRun1 * 72 + 54] = state[210]; +acadoWorkspace.evGu[lRun1 * 72 + 55] = state[211]; +acadoWorkspace.evGu[lRun1 * 72 + 56] = state[212]; +acadoWorkspace.evGu[lRun1 * 72 + 57] = state[213]; +acadoWorkspace.evGu[lRun1 * 72 + 58] = state[214]; +acadoWorkspace.evGu[lRun1 * 72 + 59] = state[215]; +acadoWorkspace.evGu[lRun1 * 72 + 60] = state[216]; +acadoWorkspace.evGu[lRun1 * 72 + 61] = state[217]; +acadoWorkspace.evGu[lRun1 * 72 + 62] = state[218]; +acadoWorkspace.evGu[lRun1 * 72 + 63] = state[219]; +acadoWorkspace.evGu[lRun1 * 72 + 64] = state[220]; +acadoWorkspace.evGu[lRun1 * 72 + 65] = state[221]; +acadoWorkspace.evGu[lRun1 * 72 + 66] = state[222]; +acadoWorkspace.evGu[lRun1 * 72 + 67] = state[223]; +acadoWorkspace.evGu[lRun1 * 72 + 68] = state[224]; +acadoWorkspace.evGu[lRun1 * 72 + 69] = state[225]; +acadoWorkspace.evGu[lRun1 * 72 + 70] = state[226]; +acadoWorkspace.evGu[lRun1 * 72 + 71] = state[227]; } return ret; } @@ -146,7 +172,7 @@ void acado_evaluateLSQ(const real_t* in, real_t* out) { const real_t* xd = in; const real_t* u = in + 12; -const real_t* od = in + 16; +const real_t* od = in + 18; /* Compute outputs: */ out[0] = xd[0]; @@ -161,10 +187,12 @@ out[8] = xd[8]; out[9] = xd[9]; out[10] = xd[10]; out[11] = xd[11]; -out[12] = (((real_t)(-2.4516499999999999e+00)*od[0])+u[0]); -out[13] = (((real_t)(-2.4516499999999999e+00)*od[0])+u[1]); -out[14] = (((real_t)(-2.4516499999999999e+00)*od[0])+u[2]); -out[15] = (((real_t)(-2.4516499999999999e+00)*od[0])+u[3]); +out[12] = (((real_t)(-1.6344333333333332e+00)*od[0])+u[0]); +out[13] = (((real_t)(-1.6344333333333332e+00)*od[0])+u[1]); +out[14] = (((real_t)(-1.6344333333333332e+00)*od[0])+u[2]); +out[15] = (((real_t)(-1.6344333333333332e+00)*od[0])+u[3]); +out[16] = (((real_t)(-1.6344333333333332e+00)*od[0])+u[4]); +out[17] = (((real_t)(-1.6344333333333332e+00)*od[0])+u[5]); } void acado_evaluateLSQEndTerm(const real_t* in, real_t* out) @@ -374,6 +402,30 @@ tmpQ2[188] = +tmpObjS[188]; tmpQ2[189] = +tmpObjS[189]; tmpQ2[190] = +tmpObjS[190]; tmpQ2[191] = +tmpObjS[191]; +tmpQ2[192] = +tmpObjS[192]; +tmpQ2[193] = +tmpObjS[193]; +tmpQ2[194] = +tmpObjS[194]; +tmpQ2[195] = +tmpObjS[195]; +tmpQ2[196] = +tmpObjS[196]; +tmpQ2[197] = +tmpObjS[197]; +tmpQ2[198] = +tmpObjS[198]; +tmpQ2[199] = +tmpObjS[199]; +tmpQ2[200] = +tmpObjS[200]; +tmpQ2[201] = +tmpObjS[201]; +tmpQ2[202] = +tmpObjS[202]; +tmpQ2[203] = +tmpObjS[203]; +tmpQ2[204] = +tmpObjS[204]; +tmpQ2[205] = +tmpObjS[205]; +tmpQ2[206] = +tmpObjS[206]; +tmpQ2[207] = +tmpObjS[207]; +tmpQ2[208] = +tmpObjS[208]; +tmpQ2[209] = +tmpObjS[209]; +tmpQ2[210] = +tmpObjS[210]; +tmpQ2[211] = +tmpObjS[211]; +tmpQ2[212] = +tmpObjS[212]; +tmpQ2[213] = +tmpObjS[213]; +tmpQ2[214] = +tmpObjS[214]; +tmpQ2[215] = +tmpObjS[215]; tmpQ1[0] = + tmpQ2[0]; tmpQ1[1] = + tmpQ2[1]; tmpQ1[2] = + tmpQ2[2]; @@ -386,222 +438,286 @@ tmpQ1[8] = + tmpQ2[8]; tmpQ1[9] = + tmpQ2[9]; tmpQ1[10] = + tmpQ2[10]; tmpQ1[11] = + tmpQ2[11]; -tmpQ1[12] = + tmpQ2[16]; -tmpQ1[13] = + tmpQ2[17]; -tmpQ1[14] = + tmpQ2[18]; -tmpQ1[15] = + tmpQ2[19]; -tmpQ1[16] = + tmpQ2[20]; -tmpQ1[17] = + tmpQ2[21]; -tmpQ1[18] = + tmpQ2[22]; -tmpQ1[19] = + tmpQ2[23]; -tmpQ1[20] = + tmpQ2[24]; -tmpQ1[21] = + tmpQ2[25]; -tmpQ1[22] = + tmpQ2[26]; -tmpQ1[23] = + tmpQ2[27]; -tmpQ1[24] = + tmpQ2[32]; -tmpQ1[25] = + tmpQ2[33]; -tmpQ1[26] = + tmpQ2[34]; -tmpQ1[27] = + tmpQ2[35]; -tmpQ1[28] = + tmpQ2[36]; -tmpQ1[29] = + tmpQ2[37]; -tmpQ1[30] = + tmpQ2[38]; -tmpQ1[31] = + tmpQ2[39]; -tmpQ1[32] = + tmpQ2[40]; -tmpQ1[33] = + tmpQ2[41]; -tmpQ1[34] = + tmpQ2[42]; -tmpQ1[35] = + tmpQ2[43]; -tmpQ1[36] = + tmpQ2[48]; -tmpQ1[37] = + tmpQ2[49]; -tmpQ1[38] = + tmpQ2[50]; -tmpQ1[39] = + tmpQ2[51]; -tmpQ1[40] = + tmpQ2[52]; -tmpQ1[41] = + tmpQ2[53]; -tmpQ1[42] = + tmpQ2[54]; -tmpQ1[43] = + tmpQ2[55]; -tmpQ1[44] = + tmpQ2[56]; -tmpQ1[45] = + tmpQ2[57]; -tmpQ1[46] = + tmpQ2[58]; -tmpQ1[47] = + tmpQ2[59]; -tmpQ1[48] = + tmpQ2[64]; -tmpQ1[49] = + tmpQ2[65]; -tmpQ1[50] = + tmpQ2[66]; -tmpQ1[51] = + tmpQ2[67]; -tmpQ1[52] = + tmpQ2[68]; -tmpQ1[53] = + tmpQ2[69]; -tmpQ1[54] = + tmpQ2[70]; -tmpQ1[55] = + tmpQ2[71]; -tmpQ1[56] = + tmpQ2[72]; -tmpQ1[57] = + tmpQ2[73]; -tmpQ1[58] = + tmpQ2[74]; -tmpQ1[59] = + tmpQ2[75]; -tmpQ1[60] = + tmpQ2[80]; -tmpQ1[61] = + tmpQ2[81]; -tmpQ1[62] = + tmpQ2[82]; -tmpQ1[63] = + tmpQ2[83]; -tmpQ1[64] = + tmpQ2[84]; -tmpQ1[65] = + tmpQ2[85]; -tmpQ1[66] = + tmpQ2[86]; -tmpQ1[67] = + tmpQ2[87]; -tmpQ1[68] = + tmpQ2[88]; -tmpQ1[69] = + tmpQ2[89]; -tmpQ1[70] = + tmpQ2[90]; -tmpQ1[71] = + tmpQ2[91]; -tmpQ1[72] = + tmpQ2[96]; -tmpQ1[73] = + tmpQ2[97]; -tmpQ1[74] = + tmpQ2[98]; -tmpQ1[75] = + tmpQ2[99]; -tmpQ1[76] = + tmpQ2[100]; -tmpQ1[77] = + tmpQ2[101]; -tmpQ1[78] = + tmpQ2[102]; -tmpQ1[79] = + tmpQ2[103]; -tmpQ1[80] = + tmpQ2[104]; -tmpQ1[81] = + tmpQ2[105]; -tmpQ1[82] = + tmpQ2[106]; -tmpQ1[83] = + tmpQ2[107]; -tmpQ1[84] = + tmpQ2[112]; -tmpQ1[85] = + tmpQ2[113]; -tmpQ1[86] = + tmpQ2[114]; -tmpQ1[87] = + tmpQ2[115]; -tmpQ1[88] = + tmpQ2[116]; -tmpQ1[89] = + tmpQ2[117]; -tmpQ1[90] = + tmpQ2[118]; -tmpQ1[91] = + tmpQ2[119]; -tmpQ1[92] = + tmpQ2[120]; -tmpQ1[93] = + tmpQ2[121]; -tmpQ1[94] = + tmpQ2[122]; -tmpQ1[95] = + tmpQ2[123]; -tmpQ1[96] = + tmpQ2[128]; -tmpQ1[97] = + tmpQ2[129]; -tmpQ1[98] = + tmpQ2[130]; -tmpQ1[99] = + tmpQ2[131]; -tmpQ1[100] = + tmpQ2[132]; -tmpQ1[101] = + tmpQ2[133]; -tmpQ1[102] = + tmpQ2[134]; -tmpQ1[103] = + tmpQ2[135]; -tmpQ1[104] = + tmpQ2[136]; -tmpQ1[105] = + tmpQ2[137]; -tmpQ1[106] = + tmpQ2[138]; -tmpQ1[107] = + tmpQ2[139]; -tmpQ1[108] = + tmpQ2[144]; -tmpQ1[109] = + tmpQ2[145]; -tmpQ1[110] = + tmpQ2[146]; -tmpQ1[111] = + tmpQ2[147]; -tmpQ1[112] = + tmpQ2[148]; -tmpQ1[113] = + tmpQ2[149]; -tmpQ1[114] = + tmpQ2[150]; -tmpQ1[115] = + tmpQ2[151]; -tmpQ1[116] = + tmpQ2[152]; -tmpQ1[117] = + tmpQ2[153]; -tmpQ1[118] = + tmpQ2[154]; -tmpQ1[119] = + tmpQ2[155]; -tmpQ1[120] = + tmpQ2[160]; -tmpQ1[121] = + tmpQ2[161]; -tmpQ1[122] = + tmpQ2[162]; -tmpQ1[123] = + tmpQ2[163]; -tmpQ1[124] = + tmpQ2[164]; -tmpQ1[125] = + tmpQ2[165]; -tmpQ1[126] = + tmpQ2[166]; -tmpQ1[127] = + tmpQ2[167]; -tmpQ1[128] = + tmpQ2[168]; -tmpQ1[129] = + tmpQ2[169]; -tmpQ1[130] = + tmpQ2[170]; -tmpQ1[131] = + tmpQ2[171]; -tmpQ1[132] = + tmpQ2[176]; -tmpQ1[133] = + tmpQ2[177]; -tmpQ1[134] = + tmpQ2[178]; -tmpQ1[135] = + tmpQ2[179]; -tmpQ1[136] = + tmpQ2[180]; -tmpQ1[137] = + tmpQ2[181]; -tmpQ1[138] = + tmpQ2[182]; -tmpQ1[139] = + tmpQ2[183]; -tmpQ1[140] = + tmpQ2[184]; -tmpQ1[141] = + tmpQ2[185]; -tmpQ1[142] = + tmpQ2[186]; -tmpQ1[143] = + tmpQ2[187]; +tmpQ1[12] = + tmpQ2[18]; +tmpQ1[13] = + tmpQ2[19]; +tmpQ1[14] = + tmpQ2[20]; +tmpQ1[15] = + tmpQ2[21]; +tmpQ1[16] = + tmpQ2[22]; +tmpQ1[17] = + tmpQ2[23]; +tmpQ1[18] = + tmpQ2[24]; +tmpQ1[19] = + tmpQ2[25]; +tmpQ1[20] = + tmpQ2[26]; +tmpQ1[21] = + tmpQ2[27]; +tmpQ1[22] = + tmpQ2[28]; +tmpQ1[23] = + tmpQ2[29]; +tmpQ1[24] = + tmpQ2[36]; +tmpQ1[25] = + tmpQ2[37]; +tmpQ1[26] = + tmpQ2[38]; +tmpQ1[27] = + tmpQ2[39]; +tmpQ1[28] = + tmpQ2[40]; +tmpQ1[29] = + tmpQ2[41]; +tmpQ1[30] = + tmpQ2[42]; +tmpQ1[31] = + tmpQ2[43]; +tmpQ1[32] = + tmpQ2[44]; +tmpQ1[33] = + tmpQ2[45]; +tmpQ1[34] = + tmpQ2[46]; +tmpQ1[35] = + tmpQ2[47]; +tmpQ1[36] = + tmpQ2[54]; +tmpQ1[37] = + tmpQ2[55]; +tmpQ1[38] = + tmpQ2[56]; +tmpQ1[39] = + tmpQ2[57]; +tmpQ1[40] = + tmpQ2[58]; +tmpQ1[41] = + tmpQ2[59]; +tmpQ1[42] = + tmpQ2[60]; +tmpQ1[43] = + tmpQ2[61]; +tmpQ1[44] = + tmpQ2[62]; +tmpQ1[45] = + tmpQ2[63]; +tmpQ1[46] = + tmpQ2[64]; +tmpQ1[47] = + tmpQ2[65]; +tmpQ1[48] = + tmpQ2[72]; +tmpQ1[49] = + tmpQ2[73]; +tmpQ1[50] = + tmpQ2[74]; +tmpQ1[51] = + tmpQ2[75]; +tmpQ1[52] = + tmpQ2[76]; +tmpQ1[53] = + tmpQ2[77]; +tmpQ1[54] = + tmpQ2[78]; +tmpQ1[55] = + tmpQ2[79]; +tmpQ1[56] = + tmpQ2[80]; +tmpQ1[57] = + tmpQ2[81]; +tmpQ1[58] = + tmpQ2[82]; +tmpQ1[59] = + tmpQ2[83]; +tmpQ1[60] = + tmpQ2[90]; +tmpQ1[61] = + tmpQ2[91]; +tmpQ1[62] = + tmpQ2[92]; +tmpQ1[63] = + tmpQ2[93]; +tmpQ1[64] = + tmpQ2[94]; +tmpQ1[65] = + tmpQ2[95]; +tmpQ1[66] = + tmpQ2[96]; +tmpQ1[67] = + tmpQ2[97]; +tmpQ1[68] = + tmpQ2[98]; +tmpQ1[69] = + tmpQ2[99]; +tmpQ1[70] = + tmpQ2[100]; +tmpQ1[71] = + tmpQ2[101]; +tmpQ1[72] = + tmpQ2[108]; +tmpQ1[73] = + tmpQ2[109]; +tmpQ1[74] = + tmpQ2[110]; +tmpQ1[75] = + tmpQ2[111]; +tmpQ1[76] = + tmpQ2[112]; +tmpQ1[77] = + tmpQ2[113]; +tmpQ1[78] = + tmpQ2[114]; +tmpQ1[79] = + tmpQ2[115]; +tmpQ1[80] = + tmpQ2[116]; +tmpQ1[81] = + tmpQ2[117]; +tmpQ1[82] = + tmpQ2[118]; +tmpQ1[83] = + tmpQ2[119]; +tmpQ1[84] = + tmpQ2[126]; +tmpQ1[85] = + tmpQ2[127]; +tmpQ1[86] = + tmpQ2[128]; +tmpQ1[87] = + tmpQ2[129]; +tmpQ1[88] = + tmpQ2[130]; +tmpQ1[89] = + tmpQ2[131]; +tmpQ1[90] = + tmpQ2[132]; +tmpQ1[91] = + tmpQ2[133]; +tmpQ1[92] = + tmpQ2[134]; +tmpQ1[93] = + tmpQ2[135]; +tmpQ1[94] = + tmpQ2[136]; +tmpQ1[95] = + tmpQ2[137]; +tmpQ1[96] = + tmpQ2[144]; +tmpQ1[97] = + tmpQ2[145]; +tmpQ1[98] = + tmpQ2[146]; +tmpQ1[99] = + tmpQ2[147]; +tmpQ1[100] = + tmpQ2[148]; +tmpQ1[101] = + tmpQ2[149]; +tmpQ1[102] = + tmpQ2[150]; +tmpQ1[103] = + tmpQ2[151]; +tmpQ1[104] = + tmpQ2[152]; +tmpQ1[105] = + tmpQ2[153]; +tmpQ1[106] = + tmpQ2[154]; +tmpQ1[107] = + tmpQ2[155]; +tmpQ1[108] = + tmpQ2[162]; +tmpQ1[109] = + tmpQ2[163]; +tmpQ1[110] = + tmpQ2[164]; +tmpQ1[111] = + tmpQ2[165]; +tmpQ1[112] = + tmpQ2[166]; +tmpQ1[113] = + tmpQ2[167]; +tmpQ1[114] = + tmpQ2[168]; +tmpQ1[115] = + tmpQ2[169]; +tmpQ1[116] = + tmpQ2[170]; +tmpQ1[117] = + tmpQ2[171]; +tmpQ1[118] = + tmpQ2[172]; +tmpQ1[119] = + tmpQ2[173]; +tmpQ1[120] = + tmpQ2[180]; +tmpQ1[121] = + tmpQ2[181]; +tmpQ1[122] = + tmpQ2[182]; +tmpQ1[123] = + tmpQ2[183]; +tmpQ1[124] = + tmpQ2[184]; +tmpQ1[125] = + tmpQ2[185]; +tmpQ1[126] = + tmpQ2[186]; +tmpQ1[127] = + tmpQ2[187]; +tmpQ1[128] = + tmpQ2[188]; +tmpQ1[129] = + tmpQ2[189]; +tmpQ1[130] = + tmpQ2[190]; +tmpQ1[131] = + tmpQ2[191]; +tmpQ1[132] = + tmpQ2[198]; +tmpQ1[133] = + tmpQ2[199]; +tmpQ1[134] = + tmpQ2[200]; +tmpQ1[135] = + tmpQ2[201]; +tmpQ1[136] = + tmpQ2[202]; +tmpQ1[137] = + tmpQ2[203]; +tmpQ1[138] = + tmpQ2[204]; +tmpQ1[139] = + tmpQ2[205]; +tmpQ1[140] = + tmpQ2[206]; +tmpQ1[141] = + tmpQ2[207]; +tmpQ1[142] = + tmpQ2[208]; +tmpQ1[143] = + tmpQ2[209]; } void acado_setObjR1R2( real_t* const tmpObjS, real_t* const tmpR1, real_t* const tmpR2 ) { -tmpR2[0] = +tmpObjS[192]; -tmpR2[1] = +tmpObjS[193]; -tmpR2[2] = +tmpObjS[194]; -tmpR2[3] = +tmpObjS[195]; -tmpR2[4] = +tmpObjS[196]; -tmpR2[5] = +tmpObjS[197]; -tmpR2[6] = +tmpObjS[198]; -tmpR2[7] = +tmpObjS[199]; -tmpR2[8] = +tmpObjS[200]; -tmpR2[9] = +tmpObjS[201]; -tmpR2[10] = +tmpObjS[202]; -tmpR2[11] = +tmpObjS[203]; -tmpR2[12] = +tmpObjS[204]; -tmpR2[13] = +tmpObjS[205]; -tmpR2[14] = +tmpObjS[206]; -tmpR2[15] = +tmpObjS[207]; -tmpR2[16] = +tmpObjS[208]; -tmpR2[17] = +tmpObjS[209]; -tmpR2[18] = +tmpObjS[210]; -tmpR2[19] = +tmpObjS[211]; -tmpR2[20] = +tmpObjS[212]; -tmpR2[21] = +tmpObjS[213]; -tmpR2[22] = +tmpObjS[214]; -tmpR2[23] = +tmpObjS[215]; -tmpR2[24] = +tmpObjS[216]; -tmpR2[25] = +tmpObjS[217]; -tmpR2[26] = +tmpObjS[218]; -tmpR2[27] = +tmpObjS[219]; -tmpR2[28] = +tmpObjS[220]; -tmpR2[29] = +tmpObjS[221]; -tmpR2[30] = +tmpObjS[222]; -tmpR2[31] = +tmpObjS[223]; -tmpR2[32] = +tmpObjS[224]; -tmpR2[33] = +tmpObjS[225]; -tmpR2[34] = +tmpObjS[226]; -tmpR2[35] = +tmpObjS[227]; -tmpR2[36] = +tmpObjS[228]; -tmpR2[37] = +tmpObjS[229]; -tmpR2[38] = +tmpObjS[230]; -tmpR2[39] = +tmpObjS[231]; -tmpR2[40] = +tmpObjS[232]; -tmpR2[41] = +tmpObjS[233]; -tmpR2[42] = +tmpObjS[234]; -tmpR2[43] = +tmpObjS[235]; -tmpR2[44] = +tmpObjS[236]; -tmpR2[45] = +tmpObjS[237]; -tmpR2[46] = +tmpObjS[238]; -tmpR2[47] = +tmpObjS[239]; -tmpR2[48] = +tmpObjS[240]; -tmpR2[49] = +tmpObjS[241]; -tmpR2[50] = +tmpObjS[242]; -tmpR2[51] = +tmpObjS[243]; -tmpR2[52] = +tmpObjS[244]; -tmpR2[53] = +tmpObjS[245]; -tmpR2[54] = +tmpObjS[246]; -tmpR2[55] = +tmpObjS[247]; -tmpR2[56] = +tmpObjS[248]; -tmpR2[57] = +tmpObjS[249]; -tmpR2[58] = +tmpObjS[250]; -tmpR2[59] = +tmpObjS[251]; -tmpR2[60] = +tmpObjS[252]; -tmpR2[61] = +tmpObjS[253]; -tmpR2[62] = +tmpObjS[254]; -tmpR2[63] = +tmpObjS[255]; +tmpR2[0] = +tmpObjS[216]; +tmpR2[1] = +tmpObjS[217]; +tmpR2[2] = +tmpObjS[218]; +tmpR2[3] = +tmpObjS[219]; +tmpR2[4] = +tmpObjS[220]; +tmpR2[5] = +tmpObjS[221]; +tmpR2[6] = +tmpObjS[222]; +tmpR2[7] = +tmpObjS[223]; +tmpR2[8] = +tmpObjS[224]; +tmpR2[9] = +tmpObjS[225]; +tmpR2[10] = +tmpObjS[226]; +tmpR2[11] = +tmpObjS[227]; +tmpR2[12] = +tmpObjS[228]; +tmpR2[13] = +tmpObjS[229]; +tmpR2[14] = +tmpObjS[230]; +tmpR2[15] = +tmpObjS[231]; +tmpR2[16] = +tmpObjS[232]; +tmpR2[17] = +tmpObjS[233]; +tmpR2[18] = +tmpObjS[234]; +tmpR2[19] = +tmpObjS[235]; +tmpR2[20] = +tmpObjS[236]; +tmpR2[21] = +tmpObjS[237]; +tmpR2[22] = +tmpObjS[238]; +tmpR2[23] = +tmpObjS[239]; +tmpR2[24] = +tmpObjS[240]; +tmpR2[25] = +tmpObjS[241]; +tmpR2[26] = +tmpObjS[242]; +tmpR2[27] = +tmpObjS[243]; +tmpR2[28] = +tmpObjS[244]; +tmpR2[29] = +tmpObjS[245]; +tmpR2[30] = +tmpObjS[246]; +tmpR2[31] = +tmpObjS[247]; +tmpR2[32] = +tmpObjS[248]; +tmpR2[33] = +tmpObjS[249]; +tmpR2[34] = +tmpObjS[250]; +tmpR2[35] = +tmpObjS[251]; +tmpR2[36] = +tmpObjS[252]; +tmpR2[37] = +tmpObjS[253]; +tmpR2[38] = +tmpObjS[254]; +tmpR2[39] = +tmpObjS[255]; +tmpR2[40] = +tmpObjS[256]; +tmpR2[41] = +tmpObjS[257]; +tmpR2[42] = +tmpObjS[258]; +tmpR2[43] = +tmpObjS[259]; +tmpR2[44] = +tmpObjS[260]; +tmpR2[45] = +tmpObjS[261]; +tmpR2[46] = +tmpObjS[262]; +tmpR2[47] = +tmpObjS[263]; +tmpR2[48] = +tmpObjS[264]; +tmpR2[49] = +tmpObjS[265]; +tmpR2[50] = +tmpObjS[266]; +tmpR2[51] = +tmpObjS[267]; +tmpR2[52] = +tmpObjS[268]; +tmpR2[53] = +tmpObjS[269]; +tmpR2[54] = +tmpObjS[270]; +tmpR2[55] = +tmpObjS[271]; +tmpR2[56] = +tmpObjS[272]; +tmpR2[57] = +tmpObjS[273]; +tmpR2[58] = +tmpObjS[274]; +tmpR2[59] = +tmpObjS[275]; +tmpR2[60] = +tmpObjS[276]; +tmpR2[61] = +tmpObjS[277]; +tmpR2[62] = +tmpObjS[278]; +tmpR2[63] = +tmpObjS[279]; +tmpR2[64] = +tmpObjS[280]; +tmpR2[65] = +tmpObjS[281]; +tmpR2[66] = +tmpObjS[282]; +tmpR2[67] = +tmpObjS[283]; +tmpR2[68] = +tmpObjS[284]; +tmpR2[69] = +tmpObjS[285]; +tmpR2[70] = +tmpObjS[286]; +tmpR2[71] = +tmpObjS[287]; +tmpR2[72] = +tmpObjS[288]; +tmpR2[73] = +tmpObjS[289]; +tmpR2[74] = +tmpObjS[290]; +tmpR2[75] = +tmpObjS[291]; +tmpR2[76] = +tmpObjS[292]; +tmpR2[77] = +tmpObjS[293]; +tmpR2[78] = +tmpObjS[294]; +tmpR2[79] = +tmpObjS[295]; +tmpR2[80] = +tmpObjS[296]; +tmpR2[81] = +tmpObjS[297]; +tmpR2[82] = +tmpObjS[298]; +tmpR2[83] = +tmpObjS[299]; +tmpR2[84] = +tmpObjS[300]; +tmpR2[85] = +tmpObjS[301]; +tmpR2[86] = +tmpObjS[302]; +tmpR2[87] = +tmpObjS[303]; +tmpR2[88] = +tmpObjS[304]; +tmpR2[89] = +tmpObjS[305]; +tmpR2[90] = +tmpObjS[306]; +tmpR2[91] = +tmpObjS[307]; +tmpR2[92] = +tmpObjS[308]; +tmpR2[93] = +tmpObjS[309]; +tmpR2[94] = +tmpObjS[310]; +tmpR2[95] = +tmpObjS[311]; +tmpR2[96] = +tmpObjS[312]; +tmpR2[97] = +tmpObjS[313]; +tmpR2[98] = +tmpObjS[314]; +tmpR2[99] = +tmpObjS[315]; +tmpR2[100] = +tmpObjS[316]; +tmpR2[101] = +tmpObjS[317]; +tmpR2[102] = +tmpObjS[318]; +tmpR2[103] = +tmpObjS[319]; +tmpR2[104] = +tmpObjS[320]; +tmpR2[105] = +tmpObjS[321]; +tmpR2[106] = +tmpObjS[322]; +tmpR2[107] = +tmpObjS[323]; tmpR1[0] = + tmpR2[12]; tmpR1[1] = + tmpR2[13]; tmpR1[2] = + tmpR2[14]; tmpR1[3] = + tmpR2[15]; -tmpR1[4] = + tmpR2[28]; -tmpR1[5] = + tmpR2[29]; +tmpR1[4] = + tmpR2[16]; +tmpR1[5] = + tmpR2[17]; tmpR1[6] = + tmpR2[30]; tmpR1[7] = + tmpR2[31]; -tmpR1[8] = + tmpR2[44]; -tmpR1[9] = + tmpR2[45]; -tmpR1[10] = + tmpR2[46]; -tmpR1[11] = + tmpR2[47]; -tmpR1[12] = + tmpR2[60]; -tmpR1[13] = + tmpR2[61]; -tmpR1[14] = + tmpR2[62]; -tmpR1[15] = + tmpR2[63]; +tmpR1[8] = + tmpR2[32]; +tmpR1[9] = + tmpR2[33]; +tmpR1[10] = + tmpR2[34]; +tmpR1[11] = + tmpR2[35]; +tmpR1[12] = + tmpR2[48]; +tmpR1[13] = + tmpR2[49]; +tmpR1[14] = + tmpR2[50]; +tmpR1[15] = + tmpR2[51]; +tmpR1[16] = + tmpR2[52]; +tmpR1[17] = + tmpR2[53]; +tmpR1[18] = + tmpR2[66]; +tmpR1[19] = + tmpR2[67]; +tmpR1[20] = + tmpR2[68]; +tmpR1[21] = + tmpR2[69]; +tmpR1[22] = + tmpR2[70]; +tmpR1[23] = + tmpR2[71]; +tmpR1[24] = + tmpR2[84]; +tmpR1[25] = + tmpR2[85]; +tmpR1[26] = + tmpR2[86]; +tmpR1[27] = + tmpR2[87]; +tmpR1[28] = + tmpR2[88]; +tmpR1[29] = + tmpR2[89]; +tmpR1[30] = + tmpR2[102]; +tmpR1[31] = + tmpR2[103]; +tmpR1[32] = + tmpR2[104]; +tmpR1[33] = + tmpR2[105]; +tmpR1[34] = + tmpR2[106]; +tmpR1[35] = + tmpR2[107]; } void acado_setObjQN1QN2( real_t* const tmpObjSEndTerm, real_t* const tmpQN1, real_t* const tmpQN2 ) @@ -949,43 +1065,47 @@ acadoWorkspace.objValueIn[8] = acadoVariables.x[runObj * 12 + 8]; acadoWorkspace.objValueIn[9] = acadoVariables.x[runObj * 12 + 9]; acadoWorkspace.objValueIn[10] = acadoVariables.x[runObj * 12 + 10]; acadoWorkspace.objValueIn[11] = acadoVariables.x[runObj * 12 + 11]; -acadoWorkspace.objValueIn[12] = acadoVariables.u[runObj * 4]; -acadoWorkspace.objValueIn[13] = acadoVariables.u[runObj * 4 + 1]; -acadoWorkspace.objValueIn[14] = acadoVariables.u[runObj * 4 + 2]; -acadoWorkspace.objValueIn[15] = acadoVariables.u[runObj * 4 + 3]; -acadoWorkspace.objValueIn[16] = acadoVariables.od[runObj * 11]; -acadoWorkspace.objValueIn[17] = acadoVariables.od[runObj * 11 + 1]; -acadoWorkspace.objValueIn[18] = acadoVariables.od[runObj * 11 + 2]; -acadoWorkspace.objValueIn[19] = acadoVariables.od[runObj * 11 + 3]; -acadoWorkspace.objValueIn[20] = acadoVariables.od[runObj * 11 + 4]; -acadoWorkspace.objValueIn[21] = acadoVariables.od[runObj * 11 + 5]; -acadoWorkspace.objValueIn[22] = acadoVariables.od[runObj * 11 + 6]; -acadoWorkspace.objValueIn[23] = acadoVariables.od[runObj * 11 + 7]; -acadoWorkspace.objValueIn[24] = acadoVariables.od[runObj * 11 + 8]; -acadoWorkspace.objValueIn[25] = acadoVariables.od[runObj * 11 + 9]; -acadoWorkspace.objValueIn[26] = acadoVariables.od[runObj * 11 + 10]; +acadoWorkspace.objValueIn[12] = acadoVariables.u[runObj * 6]; +acadoWorkspace.objValueIn[13] = acadoVariables.u[runObj * 6 + 1]; +acadoWorkspace.objValueIn[14] = acadoVariables.u[runObj * 6 + 2]; +acadoWorkspace.objValueIn[15] = acadoVariables.u[runObj * 6 + 3]; +acadoWorkspace.objValueIn[16] = acadoVariables.u[runObj * 6 + 4]; +acadoWorkspace.objValueIn[17] = acadoVariables.u[runObj * 6 + 5]; +acadoWorkspace.objValueIn[18] = acadoVariables.od[runObj * 11]; +acadoWorkspace.objValueIn[19] = acadoVariables.od[runObj * 11 + 1]; +acadoWorkspace.objValueIn[20] = acadoVariables.od[runObj * 11 + 2]; +acadoWorkspace.objValueIn[21] = acadoVariables.od[runObj * 11 + 3]; +acadoWorkspace.objValueIn[22] = acadoVariables.od[runObj * 11 + 4]; +acadoWorkspace.objValueIn[23] = acadoVariables.od[runObj * 11 + 5]; +acadoWorkspace.objValueIn[24] = acadoVariables.od[runObj * 11 + 6]; +acadoWorkspace.objValueIn[25] = acadoVariables.od[runObj * 11 + 7]; +acadoWorkspace.objValueIn[26] = acadoVariables.od[runObj * 11 + 8]; +acadoWorkspace.objValueIn[27] = acadoVariables.od[runObj * 11 + 9]; +acadoWorkspace.objValueIn[28] = acadoVariables.od[runObj * 11 + 10]; acado_evaluateLSQ( acadoWorkspace.objValueIn, acadoWorkspace.objValueOut ); -acadoWorkspace.Dy[runObj * 16] = acadoWorkspace.objValueOut[0]; -acadoWorkspace.Dy[runObj * 16 + 1] = acadoWorkspace.objValueOut[1]; -acadoWorkspace.Dy[runObj * 16 + 2] = acadoWorkspace.objValueOut[2]; -acadoWorkspace.Dy[runObj * 16 + 3] = acadoWorkspace.objValueOut[3]; -acadoWorkspace.Dy[runObj * 16 + 4] = acadoWorkspace.objValueOut[4]; -acadoWorkspace.Dy[runObj * 16 + 5] = acadoWorkspace.objValueOut[5]; -acadoWorkspace.Dy[runObj * 16 + 6] = acadoWorkspace.objValueOut[6]; -acadoWorkspace.Dy[runObj * 16 + 7] = acadoWorkspace.objValueOut[7]; -acadoWorkspace.Dy[runObj * 16 + 8] = acadoWorkspace.objValueOut[8]; -acadoWorkspace.Dy[runObj * 16 + 9] = acadoWorkspace.objValueOut[9]; -acadoWorkspace.Dy[runObj * 16 + 10] = acadoWorkspace.objValueOut[10]; -acadoWorkspace.Dy[runObj * 16 + 11] = acadoWorkspace.objValueOut[11]; -acadoWorkspace.Dy[runObj * 16 + 12] = acadoWorkspace.objValueOut[12]; -acadoWorkspace.Dy[runObj * 16 + 13] = acadoWorkspace.objValueOut[13]; -acadoWorkspace.Dy[runObj * 16 + 14] = acadoWorkspace.objValueOut[14]; -acadoWorkspace.Dy[runObj * 16 + 15] = acadoWorkspace.objValueOut[15]; - -acado_setObjQ1Q2( acadoVariables.W, &(acadoWorkspace.Q1[ runObj * 144 ]), &(acadoWorkspace.Q2[ runObj * 192 ]) ); - -acado_setObjR1R2( acadoVariables.W, &(acadoWorkspace.R1[ runObj * 16 ]), &(acadoWorkspace.R2[ runObj * 64 ]) ); +acadoWorkspace.Dy[runObj * 18] = acadoWorkspace.objValueOut[0]; +acadoWorkspace.Dy[runObj * 18 + 1] = acadoWorkspace.objValueOut[1]; +acadoWorkspace.Dy[runObj * 18 + 2] = acadoWorkspace.objValueOut[2]; +acadoWorkspace.Dy[runObj * 18 + 3] = acadoWorkspace.objValueOut[3]; +acadoWorkspace.Dy[runObj * 18 + 4] = acadoWorkspace.objValueOut[4]; +acadoWorkspace.Dy[runObj * 18 + 5] = acadoWorkspace.objValueOut[5]; +acadoWorkspace.Dy[runObj * 18 + 6] = acadoWorkspace.objValueOut[6]; +acadoWorkspace.Dy[runObj * 18 + 7] = acadoWorkspace.objValueOut[7]; +acadoWorkspace.Dy[runObj * 18 + 8] = acadoWorkspace.objValueOut[8]; +acadoWorkspace.Dy[runObj * 18 + 9] = acadoWorkspace.objValueOut[9]; +acadoWorkspace.Dy[runObj * 18 + 10] = acadoWorkspace.objValueOut[10]; +acadoWorkspace.Dy[runObj * 18 + 11] = acadoWorkspace.objValueOut[11]; +acadoWorkspace.Dy[runObj * 18 + 12] = acadoWorkspace.objValueOut[12]; +acadoWorkspace.Dy[runObj * 18 + 13] = acadoWorkspace.objValueOut[13]; +acadoWorkspace.Dy[runObj * 18 + 14] = acadoWorkspace.objValueOut[14]; +acadoWorkspace.Dy[runObj * 18 + 15] = acadoWorkspace.objValueOut[15]; +acadoWorkspace.Dy[runObj * 18 + 16] = acadoWorkspace.objValueOut[16]; +acadoWorkspace.Dy[runObj * 18 + 17] = acadoWorkspace.objValueOut[17]; + +acado_setObjQ1Q2( acadoVariables.W, &(acadoWorkspace.Q1[ runObj * 144 ]), &(acadoWorkspace.Q2[ runObj * 216 ]) ); + +acado_setObjR1R2( acadoVariables.W, &(acadoWorkspace.R1[ runObj * 36 ]), &(acadoWorkspace.R2[ runObj * 108 ]) ); } acadoWorkspace.objValueIn[0] = acadoVariables.x[240]; @@ -1026,54 +1146,78 @@ acado_setObjQN1QN2( acadoVariables.WN, acadoWorkspace.QN1, acadoWorkspace.QN2 ); void acado_multGxGu( real_t* const Gx1, real_t* const Gu1, real_t* const Gu2 ) { -Gu2[0] = + Gx1[0]*Gu1[0] + Gx1[1]*Gu1[4] + Gx1[2]*Gu1[8] + Gx1[3]*Gu1[12] + Gx1[4]*Gu1[16] + Gx1[5]*Gu1[20] + Gx1[6]*Gu1[24] + Gx1[7]*Gu1[28] + Gx1[8]*Gu1[32] + Gx1[9]*Gu1[36] + Gx1[10]*Gu1[40] + Gx1[11]*Gu1[44]; -Gu2[1] = + Gx1[0]*Gu1[1] + Gx1[1]*Gu1[5] + Gx1[2]*Gu1[9] + Gx1[3]*Gu1[13] + Gx1[4]*Gu1[17] + Gx1[5]*Gu1[21] + Gx1[6]*Gu1[25] + Gx1[7]*Gu1[29] + Gx1[8]*Gu1[33] + Gx1[9]*Gu1[37] + Gx1[10]*Gu1[41] + Gx1[11]*Gu1[45]; -Gu2[2] = + Gx1[0]*Gu1[2] + Gx1[1]*Gu1[6] + Gx1[2]*Gu1[10] + Gx1[3]*Gu1[14] + Gx1[4]*Gu1[18] + Gx1[5]*Gu1[22] + Gx1[6]*Gu1[26] + Gx1[7]*Gu1[30] + Gx1[8]*Gu1[34] + Gx1[9]*Gu1[38] + Gx1[10]*Gu1[42] + Gx1[11]*Gu1[46]; -Gu2[3] = + Gx1[0]*Gu1[3] + Gx1[1]*Gu1[7] + Gx1[2]*Gu1[11] + Gx1[3]*Gu1[15] + Gx1[4]*Gu1[19] + Gx1[5]*Gu1[23] + Gx1[6]*Gu1[27] + Gx1[7]*Gu1[31] + Gx1[8]*Gu1[35] + Gx1[9]*Gu1[39] + Gx1[10]*Gu1[43] + Gx1[11]*Gu1[47]; -Gu2[4] = + Gx1[12]*Gu1[0] + Gx1[13]*Gu1[4] + Gx1[14]*Gu1[8] + Gx1[15]*Gu1[12] + Gx1[16]*Gu1[16] + Gx1[17]*Gu1[20] + Gx1[18]*Gu1[24] + Gx1[19]*Gu1[28] + Gx1[20]*Gu1[32] + Gx1[21]*Gu1[36] + Gx1[22]*Gu1[40] + Gx1[23]*Gu1[44]; -Gu2[5] = + Gx1[12]*Gu1[1] + Gx1[13]*Gu1[5] + Gx1[14]*Gu1[9] + Gx1[15]*Gu1[13] + Gx1[16]*Gu1[17] + Gx1[17]*Gu1[21] + Gx1[18]*Gu1[25] + Gx1[19]*Gu1[29] + Gx1[20]*Gu1[33] + Gx1[21]*Gu1[37] + Gx1[22]*Gu1[41] + Gx1[23]*Gu1[45]; -Gu2[6] = + Gx1[12]*Gu1[2] + Gx1[13]*Gu1[6] + Gx1[14]*Gu1[10] + Gx1[15]*Gu1[14] + Gx1[16]*Gu1[18] + Gx1[17]*Gu1[22] + Gx1[18]*Gu1[26] + Gx1[19]*Gu1[30] + Gx1[20]*Gu1[34] + Gx1[21]*Gu1[38] + Gx1[22]*Gu1[42] + Gx1[23]*Gu1[46]; -Gu2[7] = + Gx1[12]*Gu1[3] + Gx1[13]*Gu1[7] + Gx1[14]*Gu1[11] + Gx1[15]*Gu1[15] + Gx1[16]*Gu1[19] + Gx1[17]*Gu1[23] + Gx1[18]*Gu1[27] + Gx1[19]*Gu1[31] + Gx1[20]*Gu1[35] + Gx1[21]*Gu1[39] + Gx1[22]*Gu1[43] + Gx1[23]*Gu1[47]; -Gu2[8] = + Gx1[24]*Gu1[0] + Gx1[25]*Gu1[4] + Gx1[26]*Gu1[8] + Gx1[27]*Gu1[12] + Gx1[28]*Gu1[16] + Gx1[29]*Gu1[20] + Gx1[30]*Gu1[24] + Gx1[31]*Gu1[28] + Gx1[32]*Gu1[32] + Gx1[33]*Gu1[36] + Gx1[34]*Gu1[40] + Gx1[35]*Gu1[44]; -Gu2[9] = + Gx1[24]*Gu1[1] + Gx1[25]*Gu1[5] + Gx1[26]*Gu1[9] + Gx1[27]*Gu1[13] + Gx1[28]*Gu1[17] + Gx1[29]*Gu1[21] + Gx1[30]*Gu1[25] + Gx1[31]*Gu1[29] + Gx1[32]*Gu1[33] + Gx1[33]*Gu1[37] + Gx1[34]*Gu1[41] + Gx1[35]*Gu1[45]; -Gu2[10] = + Gx1[24]*Gu1[2] + Gx1[25]*Gu1[6] + Gx1[26]*Gu1[10] + Gx1[27]*Gu1[14] + Gx1[28]*Gu1[18] + Gx1[29]*Gu1[22] + Gx1[30]*Gu1[26] + Gx1[31]*Gu1[30] + Gx1[32]*Gu1[34] + Gx1[33]*Gu1[38] + Gx1[34]*Gu1[42] + Gx1[35]*Gu1[46]; -Gu2[11] = + Gx1[24]*Gu1[3] + Gx1[25]*Gu1[7] + Gx1[26]*Gu1[11] + Gx1[27]*Gu1[15] + Gx1[28]*Gu1[19] + Gx1[29]*Gu1[23] + Gx1[30]*Gu1[27] + Gx1[31]*Gu1[31] + Gx1[32]*Gu1[35] + Gx1[33]*Gu1[39] + Gx1[34]*Gu1[43] + Gx1[35]*Gu1[47]; -Gu2[12] = + Gx1[36]*Gu1[0] + Gx1[37]*Gu1[4] + Gx1[38]*Gu1[8] + Gx1[39]*Gu1[12] + Gx1[40]*Gu1[16] + Gx1[41]*Gu1[20] + Gx1[42]*Gu1[24] + Gx1[43]*Gu1[28] + Gx1[44]*Gu1[32] + Gx1[45]*Gu1[36] + Gx1[46]*Gu1[40] + Gx1[47]*Gu1[44]; -Gu2[13] = + Gx1[36]*Gu1[1] + Gx1[37]*Gu1[5] + Gx1[38]*Gu1[9] + Gx1[39]*Gu1[13] + Gx1[40]*Gu1[17] + Gx1[41]*Gu1[21] + Gx1[42]*Gu1[25] + Gx1[43]*Gu1[29] + Gx1[44]*Gu1[33] + Gx1[45]*Gu1[37] + Gx1[46]*Gu1[41] + Gx1[47]*Gu1[45]; -Gu2[14] = + Gx1[36]*Gu1[2] + Gx1[37]*Gu1[6] + Gx1[38]*Gu1[10] + Gx1[39]*Gu1[14] + Gx1[40]*Gu1[18] + Gx1[41]*Gu1[22] + Gx1[42]*Gu1[26] + Gx1[43]*Gu1[30] + Gx1[44]*Gu1[34] + Gx1[45]*Gu1[38] + Gx1[46]*Gu1[42] + Gx1[47]*Gu1[46]; -Gu2[15] = + Gx1[36]*Gu1[3] + Gx1[37]*Gu1[7] + Gx1[38]*Gu1[11] + Gx1[39]*Gu1[15] + Gx1[40]*Gu1[19] + Gx1[41]*Gu1[23] + Gx1[42]*Gu1[27] + Gx1[43]*Gu1[31] + Gx1[44]*Gu1[35] + Gx1[45]*Gu1[39] + Gx1[46]*Gu1[43] + Gx1[47]*Gu1[47]; -Gu2[16] = + Gx1[48]*Gu1[0] + Gx1[49]*Gu1[4] + Gx1[50]*Gu1[8] + Gx1[51]*Gu1[12] + Gx1[52]*Gu1[16] + Gx1[53]*Gu1[20] + Gx1[54]*Gu1[24] + Gx1[55]*Gu1[28] + Gx1[56]*Gu1[32] + Gx1[57]*Gu1[36] + Gx1[58]*Gu1[40] + Gx1[59]*Gu1[44]; -Gu2[17] = + Gx1[48]*Gu1[1] + Gx1[49]*Gu1[5] + Gx1[50]*Gu1[9] + Gx1[51]*Gu1[13] + Gx1[52]*Gu1[17] + Gx1[53]*Gu1[21] + Gx1[54]*Gu1[25] + Gx1[55]*Gu1[29] + Gx1[56]*Gu1[33] + Gx1[57]*Gu1[37] + Gx1[58]*Gu1[41] + Gx1[59]*Gu1[45]; -Gu2[18] = + Gx1[48]*Gu1[2] + Gx1[49]*Gu1[6] + Gx1[50]*Gu1[10] + Gx1[51]*Gu1[14] + Gx1[52]*Gu1[18] + Gx1[53]*Gu1[22] + Gx1[54]*Gu1[26] + Gx1[55]*Gu1[30] + Gx1[56]*Gu1[34] + Gx1[57]*Gu1[38] + Gx1[58]*Gu1[42] + Gx1[59]*Gu1[46]; -Gu2[19] = + Gx1[48]*Gu1[3] + Gx1[49]*Gu1[7] + Gx1[50]*Gu1[11] + Gx1[51]*Gu1[15] + Gx1[52]*Gu1[19] + Gx1[53]*Gu1[23] + Gx1[54]*Gu1[27] + Gx1[55]*Gu1[31] + Gx1[56]*Gu1[35] + Gx1[57]*Gu1[39] + Gx1[58]*Gu1[43] + Gx1[59]*Gu1[47]; -Gu2[20] = + Gx1[60]*Gu1[0] + Gx1[61]*Gu1[4] + Gx1[62]*Gu1[8] + Gx1[63]*Gu1[12] + Gx1[64]*Gu1[16] + Gx1[65]*Gu1[20] + Gx1[66]*Gu1[24] + Gx1[67]*Gu1[28] + Gx1[68]*Gu1[32] + Gx1[69]*Gu1[36] + Gx1[70]*Gu1[40] + Gx1[71]*Gu1[44]; -Gu2[21] = + Gx1[60]*Gu1[1] + Gx1[61]*Gu1[5] + Gx1[62]*Gu1[9] + Gx1[63]*Gu1[13] + Gx1[64]*Gu1[17] + Gx1[65]*Gu1[21] + Gx1[66]*Gu1[25] + Gx1[67]*Gu1[29] + Gx1[68]*Gu1[33] + Gx1[69]*Gu1[37] + Gx1[70]*Gu1[41] + Gx1[71]*Gu1[45]; -Gu2[22] = + Gx1[60]*Gu1[2] + Gx1[61]*Gu1[6] + Gx1[62]*Gu1[10] + Gx1[63]*Gu1[14] + Gx1[64]*Gu1[18] + Gx1[65]*Gu1[22] + Gx1[66]*Gu1[26] + Gx1[67]*Gu1[30] + Gx1[68]*Gu1[34] + Gx1[69]*Gu1[38] + Gx1[70]*Gu1[42] + Gx1[71]*Gu1[46]; -Gu2[23] = + Gx1[60]*Gu1[3] + Gx1[61]*Gu1[7] + Gx1[62]*Gu1[11] + Gx1[63]*Gu1[15] + Gx1[64]*Gu1[19] + Gx1[65]*Gu1[23] + Gx1[66]*Gu1[27] + Gx1[67]*Gu1[31] + Gx1[68]*Gu1[35] + Gx1[69]*Gu1[39] + Gx1[70]*Gu1[43] + Gx1[71]*Gu1[47]; -Gu2[24] = + Gx1[72]*Gu1[0] + Gx1[73]*Gu1[4] + Gx1[74]*Gu1[8] + Gx1[75]*Gu1[12] + Gx1[76]*Gu1[16] + Gx1[77]*Gu1[20] + Gx1[78]*Gu1[24] + Gx1[79]*Gu1[28] + Gx1[80]*Gu1[32] + Gx1[81]*Gu1[36] + Gx1[82]*Gu1[40] + Gx1[83]*Gu1[44]; -Gu2[25] = + Gx1[72]*Gu1[1] + Gx1[73]*Gu1[5] + Gx1[74]*Gu1[9] + Gx1[75]*Gu1[13] + Gx1[76]*Gu1[17] + Gx1[77]*Gu1[21] + Gx1[78]*Gu1[25] + Gx1[79]*Gu1[29] + Gx1[80]*Gu1[33] + Gx1[81]*Gu1[37] + Gx1[82]*Gu1[41] + Gx1[83]*Gu1[45]; -Gu2[26] = + Gx1[72]*Gu1[2] + Gx1[73]*Gu1[6] + Gx1[74]*Gu1[10] + Gx1[75]*Gu1[14] + Gx1[76]*Gu1[18] + Gx1[77]*Gu1[22] + Gx1[78]*Gu1[26] + Gx1[79]*Gu1[30] + Gx1[80]*Gu1[34] + Gx1[81]*Gu1[38] + Gx1[82]*Gu1[42] + Gx1[83]*Gu1[46]; -Gu2[27] = + Gx1[72]*Gu1[3] + Gx1[73]*Gu1[7] + Gx1[74]*Gu1[11] + Gx1[75]*Gu1[15] + Gx1[76]*Gu1[19] + Gx1[77]*Gu1[23] + Gx1[78]*Gu1[27] + Gx1[79]*Gu1[31] + Gx1[80]*Gu1[35] + Gx1[81]*Gu1[39] + Gx1[82]*Gu1[43] + Gx1[83]*Gu1[47]; -Gu2[28] = + Gx1[84]*Gu1[0] + Gx1[85]*Gu1[4] + Gx1[86]*Gu1[8] + Gx1[87]*Gu1[12] + Gx1[88]*Gu1[16] + Gx1[89]*Gu1[20] + Gx1[90]*Gu1[24] + Gx1[91]*Gu1[28] + Gx1[92]*Gu1[32] + Gx1[93]*Gu1[36] + Gx1[94]*Gu1[40] + Gx1[95]*Gu1[44]; -Gu2[29] = + Gx1[84]*Gu1[1] + Gx1[85]*Gu1[5] + Gx1[86]*Gu1[9] + Gx1[87]*Gu1[13] + Gx1[88]*Gu1[17] + Gx1[89]*Gu1[21] + Gx1[90]*Gu1[25] + Gx1[91]*Gu1[29] + Gx1[92]*Gu1[33] + Gx1[93]*Gu1[37] + Gx1[94]*Gu1[41] + Gx1[95]*Gu1[45]; -Gu2[30] = + Gx1[84]*Gu1[2] + Gx1[85]*Gu1[6] + Gx1[86]*Gu1[10] + Gx1[87]*Gu1[14] + Gx1[88]*Gu1[18] + Gx1[89]*Gu1[22] + Gx1[90]*Gu1[26] + Gx1[91]*Gu1[30] + Gx1[92]*Gu1[34] + Gx1[93]*Gu1[38] + Gx1[94]*Gu1[42] + Gx1[95]*Gu1[46]; -Gu2[31] = + Gx1[84]*Gu1[3] + Gx1[85]*Gu1[7] + Gx1[86]*Gu1[11] + Gx1[87]*Gu1[15] + Gx1[88]*Gu1[19] + Gx1[89]*Gu1[23] + Gx1[90]*Gu1[27] + Gx1[91]*Gu1[31] + Gx1[92]*Gu1[35] + Gx1[93]*Gu1[39] + Gx1[94]*Gu1[43] + Gx1[95]*Gu1[47]; -Gu2[32] = + Gx1[96]*Gu1[0] + Gx1[97]*Gu1[4] + Gx1[98]*Gu1[8] + Gx1[99]*Gu1[12] + Gx1[100]*Gu1[16] + Gx1[101]*Gu1[20] + Gx1[102]*Gu1[24] + Gx1[103]*Gu1[28] + Gx1[104]*Gu1[32] + Gx1[105]*Gu1[36] + Gx1[106]*Gu1[40] + Gx1[107]*Gu1[44]; -Gu2[33] = + Gx1[96]*Gu1[1] + Gx1[97]*Gu1[5] + Gx1[98]*Gu1[9] + Gx1[99]*Gu1[13] + Gx1[100]*Gu1[17] + Gx1[101]*Gu1[21] + Gx1[102]*Gu1[25] + Gx1[103]*Gu1[29] + Gx1[104]*Gu1[33] + Gx1[105]*Gu1[37] + Gx1[106]*Gu1[41] + Gx1[107]*Gu1[45]; -Gu2[34] = + Gx1[96]*Gu1[2] + Gx1[97]*Gu1[6] + Gx1[98]*Gu1[10] + Gx1[99]*Gu1[14] + Gx1[100]*Gu1[18] + Gx1[101]*Gu1[22] + Gx1[102]*Gu1[26] + Gx1[103]*Gu1[30] + Gx1[104]*Gu1[34] + Gx1[105]*Gu1[38] + Gx1[106]*Gu1[42] + Gx1[107]*Gu1[46]; -Gu2[35] = + Gx1[96]*Gu1[3] + Gx1[97]*Gu1[7] + Gx1[98]*Gu1[11] + Gx1[99]*Gu1[15] + Gx1[100]*Gu1[19] + Gx1[101]*Gu1[23] + Gx1[102]*Gu1[27] + Gx1[103]*Gu1[31] + Gx1[104]*Gu1[35] + Gx1[105]*Gu1[39] + Gx1[106]*Gu1[43] + Gx1[107]*Gu1[47]; -Gu2[36] = + Gx1[108]*Gu1[0] + Gx1[109]*Gu1[4] + Gx1[110]*Gu1[8] + Gx1[111]*Gu1[12] + Gx1[112]*Gu1[16] + Gx1[113]*Gu1[20] + Gx1[114]*Gu1[24] + Gx1[115]*Gu1[28] + Gx1[116]*Gu1[32] + Gx1[117]*Gu1[36] + Gx1[118]*Gu1[40] + Gx1[119]*Gu1[44]; -Gu2[37] = + Gx1[108]*Gu1[1] + Gx1[109]*Gu1[5] + Gx1[110]*Gu1[9] + Gx1[111]*Gu1[13] + Gx1[112]*Gu1[17] + Gx1[113]*Gu1[21] + Gx1[114]*Gu1[25] + Gx1[115]*Gu1[29] + Gx1[116]*Gu1[33] + Gx1[117]*Gu1[37] + Gx1[118]*Gu1[41] + Gx1[119]*Gu1[45]; -Gu2[38] = + Gx1[108]*Gu1[2] + Gx1[109]*Gu1[6] + Gx1[110]*Gu1[10] + Gx1[111]*Gu1[14] + Gx1[112]*Gu1[18] + Gx1[113]*Gu1[22] + Gx1[114]*Gu1[26] + Gx1[115]*Gu1[30] + Gx1[116]*Gu1[34] + Gx1[117]*Gu1[38] + Gx1[118]*Gu1[42] + Gx1[119]*Gu1[46]; -Gu2[39] = + Gx1[108]*Gu1[3] + Gx1[109]*Gu1[7] + Gx1[110]*Gu1[11] + Gx1[111]*Gu1[15] + Gx1[112]*Gu1[19] + Gx1[113]*Gu1[23] + Gx1[114]*Gu1[27] + Gx1[115]*Gu1[31] + Gx1[116]*Gu1[35] + Gx1[117]*Gu1[39] + Gx1[118]*Gu1[43] + Gx1[119]*Gu1[47]; -Gu2[40] = + Gx1[120]*Gu1[0] + Gx1[121]*Gu1[4] + Gx1[122]*Gu1[8] + Gx1[123]*Gu1[12] + Gx1[124]*Gu1[16] + Gx1[125]*Gu1[20] + Gx1[126]*Gu1[24] + Gx1[127]*Gu1[28] + Gx1[128]*Gu1[32] + Gx1[129]*Gu1[36] + Gx1[130]*Gu1[40] + Gx1[131]*Gu1[44]; -Gu2[41] = + Gx1[120]*Gu1[1] + Gx1[121]*Gu1[5] + Gx1[122]*Gu1[9] + Gx1[123]*Gu1[13] + Gx1[124]*Gu1[17] + Gx1[125]*Gu1[21] + Gx1[126]*Gu1[25] + Gx1[127]*Gu1[29] + Gx1[128]*Gu1[33] + Gx1[129]*Gu1[37] + Gx1[130]*Gu1[41] + Gx1[131]*Gu1[45]; -Gu2[42] = + Gx1[120]*Gu1[2] + Gx1[121]*Gu1[6] + Gx1[122]*Gu1[10] + Gx1[123]*Gu1[14] + Gx1[124]*Gu1[18] + Gx1[125]*Gu1[22] + Gx1[126]*Gu1[26] + Gx1[127]*Gu1[30] + Gx1[128]*Gu1[34] + Gx1[129]*Gu1[38] + Gx1[130]*Gu1[42] + Gx1[131]*Gu1[46]; -Gu2[43] = + Gx1[120]*Gu1[3] + Gx1[121]*Gu1[7] + Gx1[122]*Gu1[11] + Gx1[123]*Gu1[15] + Gx1[124]*Gu1[19] + Gx1[125]*Gu1[23] + Gx1[126]*Gu1[27] + Gx1[127]*Gu1[31] + Gx1[128]*Gu1[35] + Gx1[129]*Gu1[39] + Gx1[130]*Gu1[43] + Gx1[131]*Gu1[47]; -Gu2[44] = + Gx1[132]*Gu1[0] + Gx1[133]*Gu1[4] + Gx1[134]*Gu1[8] + Gx1[135]*Gu1[12] + Gx1[136]*Gu1[16] + Gx1[137]*Gu1[20] + Gx1[138]*Gu1[24] + Gx1[139]*Gu1[28] + Gx1[140]*Gu1[32] + Gx1[141]*Gu1[36] + Gx1[142]*Gu1[40] + Gx1[143]*Gu1[44]; -Gu2[45] = + Gx1[132]*Gu1[1] + Gx1[133]*Gu1[5] + Gx1[134]*Gu1[9] + Gx1[135]*Gu1[13] + Gx1[136]*Gu1[17] + Gx1[137]*Gu1[21] + Gx1[138]*Gu1[25] + Gx1[139]*Gu1[29] + Gx1[140]*Gu1[33] + Gx1[141]*Gu1[37] + Gx1[142]*Gu1[41] + Gx1[143]*Gu1[45]; -Gu2[46] = + Gx1[132]*Gu1[2] + Gx1[133]*Gu1[6] + Gx1[134]*Gu1[10] + Gx1[135]*Gu1[14] + Gx1[136]*Gu1[18] + Gx1[137]*Gu1[22] + Gx1[138]*Gu1[26] + Gx1[139]*Gu1[30] + Gx1[140]*Gu1[34] + Gx1[141]*Gu1[38] + Gx1[142]*Gu1[42] + Gx1[143]*Gu1[46]; -Gu2[47] = + Gx1[132]*Gu1[3] + Gx1[133]*Gu1[7] + Gx1[134]*Gu1[11] + Gx1[135]*Gu1[15] + Gx1[136]*Gu1[19] + Gx1[137]*Gu1[23] + Gx1[138]*Gu1[27] + Gx1[139]*Gu1[31] + Gx1[140]*Gu1[35] + Gx1[141]*Gu1[39] + Gx1[142]*Gu1[43] + Gx1[143]*Gu1[47]; +Gu2[0] = + Gx1[0]*Gu1[0] + Gx1[1]*Gu1[6] + Gx1[2]*Gu1[12] + Gx1[3]*Gu1[18] + Gx1[4]*Gu1[24] + Gx1[5]*Gu1[30] + Gx1[6]*Gu1[36] + Gx1[7]*Gu1[42] + Gx1[8]*Gu1[48] + Gx1[9]*Gu1[54] + Gx1[10]*Gu1[60] + Gx1[11]*Gu1[66]; +Gu2[1] = + Gx1[0]*Gu1[1] + Gx1[1]*Gu1[7] + Gx1[2]*Gu1[13] + Gx1[3]*Gu1[19] + Gx1[4]*Gu1[25] + Gx1[5]*Gu1[31] + Gx1[6]*Gu1[37] + Gx1[7]*Gu1[43] + Gx1[8]*Gu1[49] + Gx1[9]*Gu1[55] + Gx1[10]*Gu1[61] + Gx1[11]*Gu1[67]; +Gu2[2] = + Gx1[0]*Gu1[2] + Gx1[1]*Gu1[8] + Gx1[2]*Gu1[14] + Gx1[3]*Gu1[20] + Gx1[4]*Gu1[26] + Gx1[5]*Gu1[32] + Gx1[6]*Gu1[38] + Gx1[7]*Gu1[44] + Gx1[8]*Gu1[50] + Gx1[9]*Gu1[56] + Gx1[10]*Gu1[62] + Gx1[11]*Gu1[68]; +Gu2[3] = + Gx1[0]*Gu1[3] + Gx1[1]*Gu1[9] + Gx1[2]*Gu1[15] + Gx1[3]*Gu1[21] + Gx1[4]*Gu1[27] + Gx1[5]*Gu1[33] + Gx1[6]*Gu1[39] + Gx1[7]*Gu1[45] + Gx1[8]*Gu1[51] + Gx1[9]*Gu1[57] + Gx1[10]*Gu1[63] + Gx1[11]*Gu1[69]; +Gu2[4] = + Gx1[0]*Gu1[4] + Gx1[1]*Gu1[10] + Gx1[2]*Gu1[16] + Gx1[3]*Gu1[22] + Gx1[4]*Gu1[28] + Gx1[5]*Gu1[34] + Gx1[6]*Gu1[40] + Gx1[7]*Gu1[46] + Gx1[8]*Gu1[52] + Gx1[9]*Gu1[58] + Gx1[10]*Gu1[64] + Gx1[11]*Gu1[70]; +Gu2[5] = + Gx1[0]*Gu1[5] + Gx1[1]*Gu1[11] + Gx1[2]*Gu1[17] + Gx1[3]*Gu1[23] + Gx1[4]*Gu1[29] + Gx1[5]*Gu1[35] + Gx1[6]*Gu1[41] + Gx1[7]*Gu1[47] + Gx1[8]*Gu1[53] + Gx1[9]*Gu1[59] + Gx1[10]*Gu1[65] + Gx1[11]*Gu1[71]; +Gu2[6] = + Gx1[12]*Gu1[0] + Gx1[13]*Gu1[6] + Gx1[14]*Gu1[12] + Gx1[15]*Gu1[18] + Gx1[16]*Gu1[24] + Gx1[17]*Gu1[30] + Gx1[18]*Gu1[36] + Gx1[19]*Gu1[42] + Gx1[20]*Gu1[48] + Gx1[21]*Gu1[54] + Gx1[22]*Gu1[60] + Gx1[23]*Gu1[66]; +Gu2[7] = + Gx1[12]*Gu1[1] + Gx1[13]*Gu1[7] + Gx1[14]*Gu1[13] + Gx1[15]*Gu1[19] + Gx1[16]*Gu1[25] + Gx1[17]*Gu1[31] + Gx1[18]*Gu1[37] + Gx1[19]*Gu1[43] + Gx1[20]*Gu1[49] + Gx1[21]*Gu1[55] + Gx1[22]*Gu1[61] + Gx1[23]*Gu1[67]; +Gu2[8] = + Gx1[12]*Gu1[2] + Gx1[13]*Gu1[8] + Gx1[14]*Gu1[14] + Gx1[15]*Gu1[20] + Gx1[16]*Gu1[26] + Gx1[17]*Gu1[32] + Gx1[18]*Gu1[38] + Gx1[19]*Gu1[44] + Gx1[20]*Gu1[50] + Gx1[21]*Gu1[56] + Gx1[22]*Gu1[62] + Gx1[23]*Gu1[68]; +Gu2[9] = + Gx1[12]*Gu1[3] + Gx1[13]*Gu1[9] + Gx1[14]*Gu1[15] + Gx1[15]*Gu1[21] + Gx1[16]*Gu1[27] + Gx1[17]*Gu1[33] + Gx1[18]*Gu1[39] + Gx1[19]*Gu1[45] + Gx1[20]*Gu1[51] + Gx1[21]*Gu1[57] + Gx1[22]*Gu1[63] + Gx1[23]*Gu1[69]; +Gu2[10] = + Gx1[12]*Gu1[4] + Gx1[13]*Gu1[10] + Gx1[14]*Gu1[16] + Gx1[15]*Gu1[22] + Gx1[16]*Gu1[28] + Gx1[17]*Gu1[34] + Gx1[18]*Gu1[40] + Gx1[19]*Gu1[46] + Gx1[20]*Gu1[52] + Gx1[21]*Gu1[58] + Gx1[22]*Gu1[64] + Gx1[23]*Gu1[70]; +Gu2[11] = + Gx1[12]*Gu1[5] + Gx1[13]*Gu1[11] + Gx1[14]*Gu1[17] + Gx1[15]*Gu1[23] + Gx1[16]*Gu1[29] + Gx1[17]*Gu1[35] + Gx1[18]*Gu1[41] + Gx1[19]*Gu1[47] + Gx1[20]*Gu1[53] + Gx1[21]*Gu1[59] + Gx1[22]*Gu1[65] + Gx1[23]*Gu1[71]; +Gu2[12] = + Gx1[24]*Gu1[0] + Gx1[25]*Gu1[6] + Gx1[26]*Gu1[12] + Gx1[27]*Gu1[18] + Gx1[28]*Gu1[24] + Gx1[29]*Gu1[30] + Gx1[30]*Gu1[36] + Gx1[31]*Gu1[42] + Gx1[32]*Gu1[48] + Gx1[33]*Gu1[54] + Gx1[34]*Gu1[60] + Gx1[35]*Gu1[66]; +Gu2[13] = + Gx1[24]*Gu1[1] + Gx1[25]*Gu1[7] + Gx1[26]*Gu1[13] + Gx1[27]*Gu1[19] + Gx1[28]*Gu1[25] + Gx1[29]*Gu1[31] + Gx1[30]*Gu1[37] + Gx1[31]*Gu1[43] + Gx1[32]*Gu1[49] + Gx1[33]*Gu1[55] + Gx1[34]*Gu1[61] + Gx1[35]*Gu1[67]; +Gu2[14] = + Gx1[24]*Gu1[2] + Gx1[25]*Gu1[8] + Gx1[26]*Gu1[14] + Gx1[27]*Gu1[20] + Gx1[28]*Gu1[26] + Gx1[29]*Gu1[32] + Gx1[30]*Gu1[38] + Gx1[31]*Gu1[44] + Gx1[32]*Gu1[50] + Gx1[33]*Gu1[56] + Gx1[34]*Gu1[62] + Gx1[35]*Gu1[68]; +Gu2[15] = + Gx1[24]*Gu1[3] + Gx1[25]*Gu1[9] + Gx1[26]*Gu1[15] + Gx1[27]*Gu1[21] + Gx1[28]*Gu1[27] + Gx1[29]*Gu1[33] + Gx1[30]*Gu1[39] + Gx1[31]*Gu1[45] + Gx1[32]*Gu1[51] + Gx1[33]*Gu1[57] + Gx1[34]*Gu1[63] + Gx1[35]*Gu1[69]; +Gu2[16] = + Gx1[24]*Gu1[4] + Gx1[25]*Gu1[10] + Gx1[26]*Gu1[16] + Gx1[27]*Gu1[22] + Gx1[28]*Gu1[28] + Gx1[29]*Gu1[34] + Gx1[30]*Gu1[40] + Gx1[31]*Gu1[46] + Gx1[32]*Gu1[52] + Gx1[33]*Gu1[58] + Gx1[34]*Gu1[64] + Gx1[35]*Gu1[70]; +Gu2[17] = + Gx1[24]*Gu1[5] + Gx1[25]*Gu1[11] + Gx1[26]*Gu1[17] + Gx1[27]*Gu1[23] + Gx1[28]*Gu1[29] + Gx1[29]*Gu1[35] + Gx1[30]*Gu1[41] + Gx1[31]*Gu1[47] + Gx1[32]*Gu1[53] + Gx1[33]*Gu1[59] + Gx1[34]*Gu1[65] + Gx1[35]*Gu1[71]; +Gu2[18] = + Gx1[36]*Gu1[0] + Gx1[37]*Gu1[6] + Gx1[38]*Gu1[12] + Gx1[39]*Gu1[18] + Gx1[40]*Gu1[24] + Gx1[41]*Gu1[30] + Gx1[42]*Gu1[36] + Gx1[43]*Gu1[42] + Gx1[44]*Gu1[48] + Gx1[45]*Gu1[54] + Gx1[46]*Gu1[60] + Gx1[47]*Gu1[66]; +Gu2[19] = + Gx1[36]*Gu1[1] + Gx1[37]*Gu1[7] + Gx1[38]*Gu1[13] + Gx1[39]*Gu1[19] + Gx1[40]*Gu1[25] + Gx1[41]*Gu1[31] + Gx1[42]*Gu1[37] + Gx1[43]*Gu1[43] + Gx1[44]*Gu1[49] + Gx1[45]*Gu1[55] + Gx1[46]*Gu1[61] + Gx1[47]*Gu1[67]; +Gu2[20] = + Gx1[36]*Gu1[2] + Gx1[37]*Gu1[8] + Gx1[38]*Gu1[14] + Gx1[39]*Gu1[20] + Gx1[40]*Gu1[26] + Gx1[41]*Gu1[32] + Gx1[42]*Gu1[38] + Gx1[43]*Gu1[44] + Gx1[44]*Gu1[50] + Gx1[45]*Gu1[56] + Gx1[46]*Gu1[62] + Gx1[47]*Gu1[68]; +Gu2[21] = + Gx1[36]*Gu1[3] + Gx1[37]*Gu1[9] + Gx1[38]*Gu1[15] + Gx1[39]*Gu1[21] + Gx1[40]*Gu1[27] + Gx1[41]*Gu1[33] + Gx1[42]*Gu1[39] + Gx1[43]*Gu1[45] + Gx1[44]*Gu1[51] + Gx1[45]*Gu1[57] + Gx1[46]*Gu1[63] + Gx1[47]*Gu1[69]; +Gu2[22] = + Gx1[36]*Gu1[4] + Gx1[37]*Gu1[10] + Gx1[38]*Gu1[16] + Gx1[39]*Gu1[22] + Gx1[40]*Gu1[28] + Gx1[41]*Gu1[34] + Gx1[42]*Gu1[40] + Gx1[43]*Gu1[46] + Gx1[44]*Gu1[52] + Gx1[45]*Gu1[58] + Gx1[46]*Gu1[64] + Gx1[47]*Gu1[70]; +Gu2[23] = + Gx1[36]*Gu1[5] + Gx1[37]*Gu1[11] + Gx1[38]*Gu1[17] + Gx1[39]*Gu1[23] + Gx1[40]*Gu1[29] + Gx1[41]*Gu1[35] + Gx1[42]*Gu1[41] + Gx1[43]*Gu1[47] + Gx1[44]*Gu1[53] + Gx1[45]*Gu1[59] + Gx1[46]*Gu1[65] + Gx1[47]*Gu1[71]; +Gu2[24] = + Gx1[48]*Gu1[0] + Gx1[49]*Gu1[6] + Gx1[50]*Gu1[12] + Gx1[51]*Gu1[18] + Gx1[52]*Gu1[24] + Gx1[53]*Gu1[30] + Gx1[54]*Gu1[36] + Gx1[55]*Gu1[42] + Gx1[56]*Gu1[48] + Gx1[57]*Gu1[54] + Gx1[58]*Gu1[60] + Gx1[59]*Gu1[66]; +Gu2[25] = + Gx1[48]*Gu1[1] + Gx1[49]*Gu1[7] + Gx1[50]*Gu1[13] + Gx1[51]*Gu1[19] + Gx1[52]*Gu1[25] + Gx1[53]*Gu1[31] + Gx1[54]*Gu1[37] + Gx1[55]*Gu1[43] + Gx1[56]*Gu1[49] + Gx1[57]*Gu1[55] + Gx1[58]*Gu1[61] + Gx1[59]*Gu1[67]; +Gu2[26] = + Gx1[48]*Gu1[2] + Gx1[49]*Gu1[8] + Gx1[50]*Gu1[14] + Gx1[51]*Gu1[20] + Gx1[52]*Gu1[26] + Gx1[53]*Gu1[32] + Gx1[54]*Gu1[38] + Gx1[55]*Gu1[44] + Gx1[56]*Gu1[50] + Gx1[57]*Gu1[56] + Gx1[58]*Gu1[62] + Gx1[59]*Gu1[68]; +Gu2[27] = + Gx1[48]*Gu1[3] + Gx1[49]*Gu1[9] + Gx1[50]*Gu1[15] + Gx1[51]*Gu1[21] + Gx1[52]*Gu1[27] + Gx1[53]*Gu1[33] + Gx1[54]*Gu1[39] + Gx1[55]*Gu1[45] + Gx1[56]*Gu1[51] + Gx1[57]*Gu1[57] + Gx1[58]*Gu1[63] + Gx1[59]*Gu1[69]; +Gu2[28] = + Gx1[48]*Gu1[4] + Gx1[49]*Gu1[10] + Gx1[50]*Gu1[16] + Gx1[51]*Gu1[22] + Gx1[52]*Gu1[28] + Gx1[53]*Gu1[34] + Gx1[54]*Gu1[40] + Gx1[55]*Gu1[46] + Gx1[56]*Gu1[52] + Gx1[57]*Gu1[58] + Gx1[58]*Gu1[64] + Gx1[59]*Gu1[70]; +Gu2[29] = + Gx1[48]*Gu1[5] + Gx1[49]*Gu1[11] + Gx1[50]*Gu1[17] + Gx1[51]*Gu1[23] + Gx1[52]*Gu1[29] + Gx1[53]*Gu1[35] + Gx1[54]*Gu1[41] + Gx1[55]*Gu1[47] + Gx1[56]*Gu1[53] + Gx1[57]*Gu1[59] + Gx1[58]*Gu1[65] + Gx1[59]*Gu1[71]; +Gu2[30] = + Gx1[60]*Gu1[0] + Gx1[61]*Gu1[6] + Gx1[62]*Gu1[12] + Gx1[63]*Gu1[18] + Gx1[64]*Gu1[24] + Gx1[65]*Gu1[30] + Gx1[66]*Gu1[36] + Gx1[67]*Gu1[42] + Gx1[68]*Gu1[48] + Gx1[69]*Gu1[54] + Gx1[70]*Gu1[60] + Gx1[71]*Gu1[66]; +Gu2[31] = + Gx1[60]*Gu1[1] + Gx1[61]*Gu1[7] + Gx1[62]*Gu1[13] + Gx1[63]*Gu1[19] + Gx1[64]*Gu1[25] + Gx1[65]*Gu1[31] + Gx1[66]*Gu1[37] + Gx1[67]*Gu1[43] + Gx1[68]*Gu1[49] + Gx1[69]*Gu1[55] + Gx1[70]*Gu1[61] + Gx1[71]*Gu1[67]; +Gu2[32] = + Gx1[60]*Gu1[2] + Gx1[61]*Gu1[8] + Gx1[62]*Gu1[14] + Gx1[63]*Gu1[20] + Gx1[64]*Gu1[26] + Gx1[65]*Gu1[32] + Gx1[66]*Gu1[38] + Gx1[67]*Gu1[44] + Gx1[68]*Gu1[50] + Gx1[69]*Gu1[56] + Gx1[70]*Gu1[62] + Gx1[71]*Gu1[68]; +Gu2[33] = + Gx1[60]*Gu1[3] + Gx1[61]*Gu1[9] + Gx1[62]*Gu1[15] + Gx1[63]*Gu1[21] + Gx1[64]*Gu1[27] + Gx1[65]*Gu1[33] + Gx1[66]*Gu1[39] + Gx1[67]*Gu1[45] + Gx1[68]*Gu1[51] + Gx1[69]*Gu1[57] + Gx1[70]*Gu1[63] + Gx1[71]*Gu1[69]; +Gu2[34] = + Gx1[60]*Gu1[4] + Gx1[61]*Gu1[10] + Gx1[62]*Gu1[16] + Gx1[63]*Gu1[22] + Gx1[64]*Gu1[28] + Gx1[65]*Gu1[34] + Gx1[66]*Gu1[40] + Gx1[67]*Gu1[46] + Gx1[68]*Gu1[52] + Gx1[69]*Gu1[58] + Gx1[70]*Gu1[64] + Gx1[71]*Gu1[70]; +Gu2[35] = + Gx1[60]*Gu1[5] + Gx1[61]*Gu1[11] + Gx1[62]*Gu1[17] + Gx1[63]*Gu1[23] + Gx1[64]*Gu1[29] + Gx1[65]*Gu1[35] + Gx1[66]*Gu1[41] + Gx1[67]*Gu1[47] + Gx1[68]*Gu1[53] + Gx1[69]*Gu1[59] + Gx1[70]*Gu1[65] + Gx1[71]*Gu1[71]; +Gu2[36] = + Gx1[72]*Gu1[0] + Gx1[73]*Gu1[6] + Gx1[74]*Gu1[12] + Gx1[75]*Gu1[18] + Gx1[76]*Gu1[24] + Gx1[77]*Gu1[30] + Gx1[78]*Gu1[36] + Gx1[79]*Gu1[42] + Gx1[80]*Gu1[48] + Gx1[81]*Gu1[54] + Gx1[82]*Gu1[60] + Gx1[83]*Gu1[66]; +Gu2[37] = + Gx1[72]*Gu1[1] + Gx1[73]*Gu1[7] + Gx1[74]*Gu1[13] + Gx1[75]*Gu1[19] + Gx1[76]*Gu1[25] + Gx1[77]*Gu1[31] + Gx1[78]*Gu1[37] + Gx1[79]*Gu1[43] + Gx1[80]*Gu1[49] + Gx1[81]*Gu1[55] + Gx1[82]*Gu1[61] + Gx1[83]*Gu1[67]; +Gu2[38] = + Gx1[72]*Gu1[2] + Gx1[73]*Gu1[8] + Gx1[74]*Gu1[14] + Gx1[75]*Gu1[20] + Gx1[76]*Gu1[26] + Gx1[77]*Gu1[32] + Gx1[78]*Gu1[38] + Gx1[79]*Gu1[44] + Gx1[80]*Gu1[50] + Gx1[81]*Gu1[56] + Gx1[82]*Gu1[62] + Gx1[83]*Gu1[68]; +Gu2[39] = + Gx1[72]*Gu1[3] + Gx1[73]*Gu1[9] + Gx1[74]*Gu1[15] + Gx1[75]*Gu1[21] + Gx1[76]*Gu1[27] + Gx1[77]*Gu1[33] + Gx1[78]*Gu1[39] + Gx1[79]*Gu1[45] + Gx1[80]*Gu1[51] + Gx1[81]*Gu1[57] + Gx1[82]*Gu1[63] + Gx1[83]*Gu1[69]; +Gu2[40] = + Gx1[72]*Gu1[4] + Gx1[73]*Gu1[10] + Gx1[74]*Gu1[16] + Gx1[75]*Gu1[22] + Gx1[76]*Gu1[28] + Gx1[77]*Gu1[34] + Gx1[78]*Gu1[40] + Gx1[79]*Gu1[46] + Gx1[80]*Gu1[52] + Gx1[81]*Gu1[58] + Gx1[82]*Gu1[64] + Gx1[83]*Gu1[70]; +Gu2[41] = + Gx1[72]*Gu1[5] + Gx1[73]*Gu1[11] + Gx1[74]*Gu1[17] + Gx1[75]*Gu1[23] + Gx1[76]*Gu1[29] + Gx1[77]*Gu1[35] + Gx1[78]*Gu1[41] + Gx1[79]*Gu1[47] + Gx1[80]*Gu1[53] + Gx1[81]*Gu1[59] + Gx1[82]*Gu1[65] + Gx1[83]*Gu1[71]; +Gu2[42] = + Gx1[84]*Gu1[0] + Gx1[85]*Gu1[6] + Gx1[86]*Gu1[12] + Gx1[87]*Gu1[18] + Gx1[88]*Gu1[24] + Gx1[89]*Gu1[30] + Gx1[90]*Gu1[36] + Gx1[91]*Gu1[42] + Gx1[92]*Gu1[48] + Gx1[93]*Gu1[54] + Gx1[94]*Gu1[60] + Gx1[95]*Gu1[66]; +Gu2[43] = + Gx1[84]*Gu1[1] + Gx1[85]*Gu1[7] + Gx1[86]*Gu1[13] + Gx1[87]*Gu1[19] + Gx1[88]*Gu1[25] + Gx1[89]*Gu1[31] + Gx1[90]*Gu1[37] + Gx1[91]*Gu1[43] + Gx1[92]*Gu1[49] + Gx1[93]*Gu1[55] + Gx1[94]*Gu1[61] + Gx1[95]*Gu1[67]; +Gu2[44] = + Gx1[84]*Gu1[2] + Gx1[85]*Gu1[8] + Gx1[86]*Gu1[14] + Gx1[87]*Gu1[20] + Gx1[88]*Gu1[26] + Gx1[89]*Gu1[32] + Gx1[90]*Gu1[38] + Gx1[91]*Gu1[44] + Gx1[92]*Gu1[50] + Gx1[93]*Gu1[56] + Gx1[94]*Gu1[62] + Gx1[95]*Gu1[68]; +Gu2[45] = + Gx1[84]*Gu1[3] + Gx1[85]*Gu1[9] + Gx1[86]*Gu1[15] + Gx1[87]*Gu1[21] + Gx1[88]*Gu1[27] + Gx1[89]*Gu1[33] + Gx1[90]*Gu1[39] + Gx1[91]*Gu1[45] + Gx1[92]*Gu1[51] + Gx1[93]*Gu1[57] + Gx1[94]*Gu1[63] + Gx1[95]*Gu1[69]; +Gu2[46] = + Gx1[84]*Gu1[4] + Gx1[85]*Gu1[10] + Gx1[86]*Gu1[16] + Gx1[87]*Gu1[22] + Gx1[88]*Gu1[28] + Gx1[89]*Gu1[34] + Gx1[90]*Gu1[40] + Gx1[91]*Gu1[46] + Gx1[92]*Gu1[52] + Gx1[93]*Gu1[58] + Gx1[94]*Gu1[64] + Gx1[95]*Gu1[70]; +Gu2[47] = + Gx1[84]*Gu1[5] + Gx1[85]*Gu1[11] + Gx1[86]*Gu1[17] + Gx1[87]*Gu1[23] + Gx1[88]*Gu1[29] + Gx1[89]*Gu1[35] + Gx1[90]*Gu1[41] + Gx1[91]*Gu1[47] + Gx1[92]*Gu1[53] + Gx1[93]*Gu1[59] + Gx1[94]*Gu1[65] + Gx1[95]*Gu1[71]; +Gu2[48] = + Gx1[96]*Gu1[0] + Gx1[97]*Gu1[6] + Gx1[98]*Gu1[12] + Gx1[99]*Gu1[18] + Gx1[100]*Gu1[24] + Gx1[101]*Gu1[30] + Gx1[102]*Gu1[36] + Gx1[103]*Gu1[42] + Gx1[104]*Gu1[48] + Gx1[105]*Gu1[54] + Gx1[106]*Gu1[60] + Gx1[107]*Gu1[66]; +Gu2[49] = + Gx1[96]*Gu1[1] + Gx1[97]*Gu1[7] + Gx1[98]*Gu1[13] + Gx1[99]*Gu1[19] + Gx1[100]*Gu1[25] + Gx1[101]*Gu1[31] + Gx1[102]*Gu1[37] + Gx1[103]*Gu1[43] + Gx1[104]*Gu1[49] + Gx1[105]*Gu1[55] + Gx1[106]*Gu1[61] + Gx1[107]*Gu1[67]; +Gu2[50] = + Gx1[96]*Gu1[2] + Gx1[97]*Gu1[8] + Gx1[98]*Gu1[14] + Gx1[99]*Gu1[20] + Gx1[100]*Gu1[26] + Gx1[101]*Gu1[32] + Gx1[102]*Gu1[38] + Gx1[103]*Gu1[44] + Gx1[104]*Gu1[50] + Gx1[105]*Gu1[56] + Gx1[106]*Gu1[62] + Gx1[107]*Gu1[68]; +Gu2[51] = + Gx1[96]*Gu1[3] + Gx1[97]*Gu1[9] + Gx1[98]*Gu1[15] + Gx1[99]*Gu1[21] + Gx1[100]*Gu1[27] + Gx1[101]*Gu1[33] + Gx1[102]*Gu1[39] + Gx1[103]*Gu1[45] + Gx1[104]*Gu1[51] + Gx1[105]*Gu1[57] + Gx1[106]*Gu1[63] + Gx1[107]*Gu1[69]; +Gu2[52] = + Gx1[96]*Gu1[4] + Gx1[97]*Gu1[10] + Gx1[98]*Gu1[16] + Gx1[99]*Gu1[22] + Gx1[100]*Gu1[28] + Gx1[101]*Gu1[34] + Gx1[102]*Gu1[40] + Gx1[103]*Gu1[46] + Gx1[104]*Gu1[52] + Gx1[105]*Gu1[58] + Gx1[106]*Gu1[64] + Gx1[107]*Gu1[70]; +Gu2[53] = + Gx1[96]*Gu1[5] + Gx1[97]*Gu1[11] + Gx1[98]*Gu1[17] + Gx1[99]*Gu1[23] + Gx1[100]*Gu1[29] + Gx1[101]*Gu1[35] + Gx1[102]*Gu1[41] + Gx1[103]*Gu1[47] + Gx1[104]*Gu1[53] + Gx1[105]*Gu1[59] + Gx1[106]*Gu1[65] + Gx1[107]*Gu1[71]; +Gu2[54] = + Gx1[108]*Gu1[0] + Gx1[109]*Gu1[6] + Gx1[110]*Gu1[12] + Gx1[111]*Gu1[18] + Gx1[112]*Gu1[24] + Gx1[113]*Gu1[30] + Gx1[114]*Gu1[36] + Gx1[115]*Gu1[42] + Gx1[116]*Gu1[48] + Gx1[117]*Gu1[54] + Gx1[118]*Gu1[60] + Gx1[119]*Gu1[66]; +Gu2[55] = + Gx1[108]*Gu1[1] + Gx1[109]*Gu1[7] + Gx1[110]*Gu1[13] + Gx1[111]*Gu1[19] + Gx1[112]*Gu1[25] + Gx1[113]*Gu1[31] + Gx1[114]*Gu1[37] + Gx1[115]*Gu1[43] + Gx1[116]*Gu1[49] + Gx1[117]*Gu1[55] + Gx1[118]*Gu1[61] + Gx1[119]*Gu1[67]; +Gu2[56] = + Gx1[108]*Gu1[2] + Gx1[109]*Gu1[8] + Gx1[110]*Gu1[14] + Gx1[111]*Gu1[20] + Gx1[112]*Gu1[26] + Gx1[113]*Gu1[32] + Gx1[114]*Gu1[38] + Gx1[115]*Gu1[44] + Gx1[116]*Gu1[50] + Gx1[117]*Gu1[56] + Gx1[118]*Gu1[62] + Gx1[119]*Gu1[68]; +Gu2[57] = + Gx1[108]*Gu1[3] + Gx1[109]*Gu1[9] + Gx1[110]*Gu1[15] + Gx1[111]*Gu1[21] + Gx1[112]*Gu1[27] + Gx1[113]*Gu1[33] + Gx1[114]*Gu1[39] + Gx1[115]*Gu1[45] + Gx1[116]*Gu1[51] + Gx1[117]*Gu1[57] + Gx1[118]*Gu1[63] + Gx1[119]*Gu1[69]; +Gu2[58] = + Gx1[108]*Gu1[4] + Gx1[109]*Gu1[10] + Gx1[110]*Gu1[16] + Gx1[111]*Gu1[22] + Gx1[112]*Gu1[28] + Gx1[113]*Gu1[34] + Gx1[114]*Gu1[40] + Gx1[115]*Gu1[46] + Gx1[116]*Gu1[52] + Gx1[117]*Gu1[58] + Gx1[118]*Gu1[64] + Gx1[119]*Gu1[70]; +Gu2[59] = + Gx1[108]*Gu1[5] + Gx1[109]*Gu1[11] + Gx1[110]*Gu1[17] + Gx1[111]*Gu1[23] + Gx1[112]*Gu1[29] + Gx1[113]*Gu1[35] + Gx1[114]*Gu1[41] + Gx1[115]*Gu1[47] + Gx1[116]*Gu1[53] + Gx1[117]*Gu1[59] + Gx1[118]*Gu1[65] + Gx1[119]*Gu1[71]; +Gu2[60] = + Gx1[120]*Gu1[0] + Gx1[121]*Gu1[6] + Gx1[122]*Gu1[12] + Gx1[123]*Gu1[18] + Gx1[124]*Gu1[24] + Gx1[125]*Gu1[30] + Gx1[126]*Gu1[36] + Gx1[127]*Gu1[42] + Gx1[128]*Gu1[48] + Gx1[129]*Gu1[54] + Gx1[130]*Gu1[60] + Gx1[131]*Gu1[66]; +Gu2[61] = + Gx1[120]*Gu1[1] + Gx1[121]*Gu1[7] + Gx1[122]*Gu1[13] + Gx1[123]*Gu1[19] + Gx1[124]*Gu1[25] + Gx1[125]*Gu1[31] + Gx1[126]*Gu1[37] + Gx1[127]*Gu1[43] + Gx1[128]*Gu1[49] + Gx1[129]*Gu1[55] + Gx1[130]*Gu1[61] + Gx1[131]*Gu1[67]; +Gu2[62] = + Gx1[120]*Gu1[2] + Gx1[121]*Gu1[8] + Gx1[122]*Gu1[14] + Gx1[123]*Gu1[20] + Gx1[124]*Gu1[26] + Gx1[125]*Gu1[32] + Gx1[126]*Gu1[38] + Gx1[127]*Gu1[44] + Gx1[128]*Gu1[50] + Gx1[129]*Gu1[56] + Gx1[130]*Gu1[62] + Gx1[131]*Gu1[68]; +Gu2[63] = + Gx1[120]*Gu1[3] + Gx1[121]*Gu1[9] + Gx1[122]*Gu1[15] + Gx1[123]*Gu1[21] + Gx1[124]*Gu1[27] + Gx1[125]*Gu1[33] + Gx1[126]*Gu1[39] + Gx1[127]*Gu1[45] + Gx1[128]*Gu1[51] + Gx1[129]*Gu1[57] + Gx1[130]*Gu1[63] + Gx1[131]*Gu1[69]; +Gu2[64] = + Gx1[120]*Gu1[4] + Gx1[121]*Gu1[10] + Gx1[122]*Gu1[16] + Gx1[123]*Gu1[22] + Gx1[124]*Gu1[28] + Gx1[125]*Gu1[34] + Gx1[126]*Gu1[40] + Gx1[127]*Gu1[46] + Gx1[128]*Gu1[52] + Gx1[129]*Gu1[58] + Gx1[130]*Gu1[64] + Gx1[131]*Gu1[70]; +Gu2[65] = + Gx1[120]*Gu1[5] + Gx1[121]*Gu1[11] + Gx1[122]*Gu1[17] + Gx1[123]*Gu1[23] + Gx1[124]*Gu1[29] + Gx1[125]*Gu1[35] + Gx1[126]*Gu1[41] + Gx1[127]*Gu1[47] + Gx1[128]*Gu1[53] + Gx1[129]*Gu1[59] + Gx1[130]*Gu1[65] + Gx1[131]*Gu1[71]; +Gu2[66] = + Gx1[132]*Gu1[0] + Gx1[133]*Gu1[6] + Gx1[134]*Gu1[12] + Gx1[135]*Gu1[18] + Gx1[136]*Gu1[24] + Gx1[137]*Gu1[30] + Gx1[138]*Gu1[36] + Gx1[139]*Gu1[42] + Gx1[140]*Gu1[48] + Gx1[141]*Gu1[54] + Gx1[142]*Gu1[60] + Gx1[143]*Gu1[66]; +Gu2[67] = + Gx1[132]*Gu1[1] + Gx1[133]*Gu1[7] + Gx1[134]*Gu1[13] + Gx1[135]*Gu1[19] + Gx1[136]*Gu1[25] + Gx1[137]*Gu1[31] + Gx1[138]*Gu1[37] + Gx1[139]*Gu1[43] + Gx1[140]*Gu1[49] + Gx1[141]*Gu1[55] + Gx1[142]*Gu1[61] + Gx1[143]*Gu1[67]; +Gu2[68] = + Gx1[132]*Gu1[2] + Gx1[133]*Gu1[8] + Gx1[134]*Gu1[14] + Gx1[135]*Gu1[20] + Gx1[136]*Gu1[26] + Gx1[137]*Gu1[32] + Gx1[138]*Gu1[38] + Gx1[139]*Gu1[44] + Gx1[140]*Gu1[50] + Gx1[141]*Gu1[56] + Gx1[142]*Gu1[62] + Gx1[143]*Gu1[68]; +Gu2[69] = + Gx1[132]*Gu1[3] + Gx1[133]*Gu1[9] + Gx1[134]*Gu1[15] + Gx1[135]*Gu1[21] + Gx1[136]*Gu1[27] + Gx1[137]*Gu1[33] + Gx1[138]*Gu1[39] + Gx1[139]*Gu1[45] + Gx1[140]*Gu1[51] + Gx1[141]*Gu1[57] + Gx1[142]*Gu1[63] + Gx1[143]*Gu1[69]; +Gu2[70] = + Gx1[132]*Gu1[4] + Gx1[133]*Gu1[10] + Gx1[134]*Gu1[16] + Gx1[135]*Gu1[22] + Gx1[136]*Gu1[28] + Gx1[137]*Gu1[34] + Gx1[138]*Gu1[40] + Gx1[139]*Gu1[46] + Gx1[140]*Gu1[52] + Gx1[141]*Gu1[58] + Gx1[142]*Gu1[64] + Gx1[143]*Gu1[70]; +Gu2[71] = + Gx1[132]*Gu1[5] + Gx1[133]*Gu1[11] + Gx1[134]*Gu1[17] + Gx1[135]*Gu1[23] + Gx1[136]*Gu1[29] + Gx1[137]*Gu1[35] + Gx1[138]*Gu1[41] + Gx1[139]*Gu1[47] + Gx1[140]*Gu1[53] + Gx1[141]*Gu1[59] + Gx1[142]*Gu1[65] + Gx1[143]*Gu1[71]; } void acado_moveGuE( real_t* const Gu1, real_t* const Gu2 ) @@ -1126,154 +1270,268 @@ Gu2[44] = Gu1[44]; Gu2[45] = Gu1[45]; Gu2[46] = Gu1[46]; Gu2[47] = Gu1[47]; +Gu2[48] = Gu1[48]; +Gu2[49] = Gu1[49]; +Gu2[50] = Gu1[50]; +Gu2[51] = Gu1[51]; +Gu2[52] = Gu1[52]; +Gu2[53] = Gu1[53]; +Gu2[54] = Gu1[54]; +Gu2[55] = Gu1[55]; +Gu2[56] = Gu1[56]; +Gu2[57] = Gu1[57]; +Gu2[58] = Gu1[58]; +Gu2[59] = Gu1[59]; +Gu2[60] = Gu1[60]; +Gu2[61] = Gu1[61]; +Gu2[62] = Gu1[62]; +Gu2[63] = Gu1[63]; +Gu2[64] = Gu1[64]; +Gu2[65] = Gu1[65]; +Gu2[66] = Gu1[66]; +Gu2[67] = Gu1[67]; +Gu2[68] = Gu1[68]; +Gu2[69] = Gu1[69]; +Gu2[70] = Gu1[70]; +Gu2[71] = Gu1[71]; } void acado_multBTW1( real_t* const Gu1, real_t* const Gu2, int iRow, int iCol ) { -acadoWorkspace.H[(iRow * 320) + (iCol * 4)] = + Gu1[0]*Gu2[0] + Gu1[4]*Gu2[4] + Gu1[8]*Gu2[8] + Gu1[12]*Gu2[12] + Gu1[16]*Gu2[16] + Gu1[20]*Gu2[20] + Gu1[24]*Gu2[24] + Gu1[28]*Gu2[28] + Gu1[32]*Gu2[32] + Gu1[36]*Gu2[36] + Gu1[40]*Gu2[40] + Gu1[44]*Gu2[44]; -acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 1)] = + Gu1[0]*Gu2[1] + Gu1[4]*Gu2[5] + Gu1[8]*Gu2[9] + Gu1[12]*Gu2[13] + Gu1[16]*Gu2[17] + Gu1[20]*Gu2[21] + Gu1[24]*Gu2[25] + Gu1[28]*Gu2[29] + Gu1[32]*Gu2[33] + Gu1[36]*Gu2[37] + Gu1[40]*Gu2[41] + Gu1[44]*Gu2[45]; -acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 2)] = + Gu1[0]*Gu2[2] + Gu1[4]*Gu2[6] + Gu1[8]*Gu2[10] + Gu1[12]*Gu2[14] + Gu1[16]*Gu2[18] + Gu1[20]*Gu2[22] + Gu1[24]*Gu2[26] + Gu1[28]*Gu2[30] + Gu1[32]*Gu2[34] + Gu1[36]*Gu2[38] + Gu1[40]*Gu2[42] + Gu1[44]*Gu2[46]; -acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 3)] = + Gu1[0]*Gu2[3] + Gu1[4]*Gu2[7] + Gu1[8]*Gu2[11] + Gu1[12]*Gu2[15] + Gu1[16]*Gu2[19] + Gu1[20]*Gu2[23] + Gu1[24]*Gu2[27] + Gu1[28]*Gu2[31] + Gu1[32]*Gu2[35] + Gu1[36]*Gu2[39] + Gu1[40]*Gu2[43] + Gu1[44]*Gu2[47]; -acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4)] = + Gu1[1]*Gu2[0] + Gu1[5]*Gu2[4] + Gu1[9]*Gu2[8] + Gu1[13]*Gu2[12] + Gu1[17]*Gu2[16] + Gu1[21]*Gu2[20] + Gu1[25]*Gu2[24] + Gu1[29]*Gu2[28] + Gu1[33]*Gu2[32] + Gu1[37]*Gu2[36] + Gu1[41]*Gu2[40] + Gu1[45]*Gu2[44]; -acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 1)] = + Gu1[1]*Gu2[1] + Gu1[5]*Gu2[5] + Gu1[9]*Gu2[9] + Gu1[13]*Gu2[13] + Gu1[17]*Gu2[17] + Gu1[21]*Gu2[21] + Gu1[25]*Gu2[25] + Gu1[29]*Gu2[29] + Gu1[33]*Gu2[33] + Gu1[37]*Gu2[37] + Gu1[41]*Gu2[41] + Gu1[45]*Gu2[45]; -acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 2)] = + Gu1[1]*Gu2[2] + Gu1[5]*Gu2[6] + Gu1[9]*Gu2[10] + Gu1[13]*Gu2[14] + Gu1[17]*Gu2[18] + Gu1[21]*Gu2[22] + Gu1[25]*Gu2[26] + Gu1[29]*Gu2[30] + Gu1[33]*Gu2[34] + Gu1[37]*Gu2[38] + Gu1[41]*Gu2[42] + Gu1[45]*Gu2[46]; -acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 3)] = + Gu1[1]*Gu2[3] + Gu1[5]*Gu2[7] + Gu1[9]*Gu2[11] + Gu1[13]*Gu2[15] + Gu1[17]*Gu2[19] + Gu1[21]*Gu2[23] + Gu1[25]*Gu2[27] + Gu1[29]*Gu2[31] + Gu1[33]*Gu2[35] + Gu1[37]*Gu2[39] + Gu1[41]*Gu2[43] + Gu1[45]*Gu2[47]; -acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4)] = + Gu1[2]*Gu2[0] + Gu1[6]*Gu2[4] + Gu1[10]*Gu2[8] + Gu1[14]*Gu2[12] + Gu1[18]*Gu2[16] + Gu1[22]*Gu2[20] + Gu1[26]*Gu2[24] + Gu1[30]*Gu2[28] + Gu1[34]*Gu2[32] + Gu1[38]*Gu2[36] + Gu1[42]*Gu2[40] + Gu1[46]*Gu2[44]; -acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 1)] = + Gu1[2]*Gu2[1] + Gu1[6]*Gu2[5] + Gu1[10]*Gu2[9] + Gu1[14]*Gu2[13] + Gu1[18]*Gu2[17] + Gu1[22]*Gu2[21] + Gu1[26]*Gu2[25] + Gu1[30]*Gu2[29] + Gu1[34]*Gu2[33] + Gu1[38]*Gu2[37] + Gu1[42]*Gu2[41] + Gu1[46]*Gu2[45]; -acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 2)] = + Gu1[2]*Gu2[2] + Gu1[6]*Gu2[6] + Gu1[10]*Gu2[10] + Gu1[14]*Gu2[14] + Gu1[18]*Gu2[18] + Gu1[22]*Gu2[22] + Gu1[26]*Gu2[26] + Gu1[30]*Gu2[30] + Gu1[34]*Gu2[34] + Gu1[38]*Gu2[38] + Gu1[42]*Gu2[42] + Gu1[46]*Gu2[46]; -acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 3)] = + Gu1[2]*Gu2[3] + Gu1[6]*Gu2[7] + Gu1[10]*Gu2[11] + Gu1[14]*Gu2[15] + Gu1[18]*Gu2[19] + Gu1[22]*Gu2[23] + Gu1[26]*Gu2[27] + Gu1[30]*Gu2[31] + Gu1[34]*Gu2[35] + Gu1[38]*Gu2[39] + Gu1[42]*Gu2[43] + Gu1[46]*Gu2[47]; -acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4)] = + Gu1[3]*Gu2[0] + Gu1[7]*Gu2[4] + Gu1[11]*Gu2[8] + Gu1[15]*Gu2[12] + Gu1[19]*Gu2[16] + Gu1[23]*Gu2[20] + Gu1[27]*Gu2[24] + Gu1[31]*Gu2[28] + Gu1[35]*Gu2[32] + Gu1[39]*Gu2[36] + Gu1[43]*Gu2[40] + Gu1[47]*Gu2[44]; -acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 1)] = + Gu1[3]*Gu2[1] + Gu1[7]*Gu2[5] + Gu1[11]*Gu2[9] + Gu1[15]*Gu2[13] + Gu1[19]*Gu2[17] + Gu1[23]*Gu2[21] + Gu1[27]*Gu2[25] + Gu1[31]*Gu2[29] + Gu1[35]*Gu2[33] + Gu1[39]*Gu2[37] + Gu1[43]*Gu2[41] + Gu1[47]*Gu2[45]; -acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 2)] = + Gu1[3]*Gu2[2] + Gu1[7]*Gu2[6] + Gu1[11]*Gu2[10] + Gu1[15]*Gu2[14] + Gu1[19]*Gu2[18] + Gu1[23]*Gu2[22] + Gu1[27]*Gu2[26] + Gu1[31]*Gu2[30] + Gu1[35]*Gu2[34] + Gu1[39]*Gu2[38] + Gu1[43]*Gu2[42] + Gu1[47]*Gu2[46]; -acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 3)] = + Gu1[3]*Gu2[3] + Gu1[7]*Gu2[7] + Gu1[11]*Gu2[11] + Gu1[15]*Gu2[15] + Gu1[19]*Gu2[19] + Gu1[23]*Gu2[23] + Gu1[27]*Gu2[27] + Gu1[31]*Gu2[31] + Gu1[35]*Gu2[35] + Gu1[39]*Gu2[39] + Gu1[43]*Gu2[43] + Gu1[47]*Gu2[47]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6)] = + Gu1[0]*Gu2[0] + Gu1[6]*Gu2[6] + Gu1[12]*Gu2[12] + Gu1[18]*Gu2[18] + Gu1[24]*Gu2[24] + Gu1[30]*Gu2[30] + Gu1[36]*Gu2[36] + Gu1[42]*Gu2[42] + Gu1[48]*Gu2[48] + Gu1[54]*Gu2[54] + Gu1[60]*Gu2[60] + Gu1[66]*Gu2[66]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 1)] = + Gu1[0]*Gu2[1] + Gu1[6]*Gu2[7] + Gu1[12]*Gu2[13] + Gu1[18]*Gu2[19] + Gu1[24]*Gu2[25] + Gu1[30]*Gu2[31] + Gu1[36]*Gu2[37] + Gu1[42]*Gu2[43] + Gu1[48]*Gu2[49] + Gu1[54]*Gu2[55] + Gu1[60]*Gu2[61] + Gu1[66]*Gu2[67]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 2)] = + Gu1[0]*Gu2[2] + Gu1[6]*Gu2[8] + Gu1[12]*Gu2[14] + Gu1[18]*Gu2[20] + Gu1[24]*Gu2[26] + Gu1[30]*Gu2[32] + Gu1[36]*Gu2[38] + Gu1[42]*Gu2[44] + Gu1[48]*Gu2[50] + Gu1[54]*Gu2[56] + Gu1[60]*Gu2[62] + Gu1[66]*Gu2[68]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 3)] = + Gu1[0]*Gu2[3] + Gu1[6]*Gu2[9] + Gu1[12]*Gu2[15] + Gu1[18]*Gu2[21] + Gu1[24]*Gu2[27] + Gu1[30]*Gu2[33] + Gu1[36]*Gu2[39] + Gu1[42]*Gu2[45] + Gu1[48]*Gu2[51] + Gu1[54]*Gu2[57] + Gu1[60]*Gu2[63] + Gu1[66]*Gu2[69]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 4)] = + Gu1[0]*Gu2[4] + Gu1[6]*Gu2[10] + Gu1[12]*Gu2[16] + Gu1[18]*Gu2[22] + Gu1[24]*Gu2[28] + Gu1[30]*Gu2[34] + Gu1[36]*Gu2[40] + Gu1[42]*Gu2[46] + Gu1[48]*Gu2[52] + Gu1[54]*Gu2[58] + Gu1[60]*Gu2[64] + Gu1[66]*Gu2[70]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 5)] = + Gu1[0]*Gu2[5] + Gu1[6]*Gu2[11] + Gu1[12]*Gu2[17] + Gu1[18]*Gu2[23] + Gu1[24]*Gu2[29] + Gu1[30]*Gu2[35] + Gu1[36]*Gu2[41] + Gu1[42]*Gu2[47] + Gu1[48]*Gu2[53] + Gu1[54]*Gu2[59] + Gu1[60]*Gu2[65] + Gu1[66]*Gu2[71]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6)] = + Gu1[1]*Gu2[0] + Gu1[7]*Gu2[6] + Gu1[13]*Gu2[12] + Gu1[19]*Gu2[18] + Gu1[25]*Gu2[24] + Gu1[31]*Gu2[30] + Gu1[37]*Gu2[36] + Gu1[43]*Gu2[42] + Gu1[49]*Gu2[48] + Gu1[55]*Gu2[54] + Gu1[61]*Gu2[60] + Gu1[67]*Gu2[66]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 1)] = + Gu1[1]*Gu2[1] + Gu1[7]*Gu2[7] + Gu1[13]*Gu2[13] + Gu1[19]*Gu2[19] + Gu1[25]*Gu2[25] + Gu1[31]*Gu2[31] + Gu1[37]*Gu2[37] + Gu1[43]*Gu2[43] + Gu1[49]*Gu2[49] + Gu1[55]*Gu2[55] + Gu1[61]*Gu2[61] + Gu1[67]*Gu2[67]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 2)] = + Gu1[1]*Gu2[2] + Gu1[7]*Gu2[8] + Gu1[13]*Gu2[14] + Gu1[19]*Gu2[20] + Gu1[25]*Gu2[26] + Gu1[31]*Gu2[32] + Gu1[37]*Gu2[38] + Gu1[43]*Gu2[44] + Gu1[49]*Gu2[50] + Gu1[55]*Gu2[56] + Gu1[61]*Gu2[62] + Gu1[67]*Gu2[68]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 3)] = + Gu1[1]*Gu2[3] + Gu1[7]*Gu2[9] + Gu1[13]*Gu2[15] + Gu1[19]*Gu2[21] + Gu1[25]*Gu2[27] + Gu1[31]*Gu2[33] + Gu1[37]*Gu2[39] + Gu1[43]*Gu2[45] + Gu1[49]*Gu2[51] + Gu1[55]*Gu2[57] + Gu1[61]*Gu2[63] + Gu1[67]*Gu2[69]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 4)] = + Gu1[1]*Gu2[4] + Gu1[7]*Gu2[10] + Gu1[13]*Gu2[16] + Gu1[19]*Gu2[22] + Gu1[25]*Gu2[28] + Gu1[31]*Gu2[34] + Gu1[37]*Gu2[40] + Gu1[43]*Gu2[46] + Gu1[49]*Gu2[52] + Gu1[55]*Gu2[58] + Gu1[61]*Gu2[64] + Gu1[67]*Gu2[70]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 5)] = + Gu1[1]*Gu2[5] + Gu1[7]*Gu2[11] + Gu1[13]*Gu2[17] + Gu1[19]*Gu2[23] + Gu1[25]*Gu2[29] + Gu1[31]*Gu2[35] + Gu1[37]*Gu2[41] + Gu1[43]*Gu2[47] + Gu1[49]*Gu2[53] + Gu1[55]*Gu2[59] + Gu1[61]*Gu2[65] + Gu1[67]*Gu2[71]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6)] = + Gu1[2]*Gu2[0] + Gu1[8]*Gu2[6] + Gu1[14]*Gu2[12] + Gu1[20]*Gu2[18] + Gu1[26]*Gu2[24] + Gu1[32]*Gu2[30] + Gu1[38]*Gu2[36] + Gu1[44]*Gu2[42] + Gu1[50]*Gu2[48] + Gu1[56]*Gu2[54] + Gu1[62]*Gu2[60] + Gu1[68]*Gu2[66]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 1)] = + Gu1[2]*Gu2[1] + Gu1[8]*Gu2[7] + Gu1[14]*Gu2[13] + Gu1[20]*Gu2[19] + Gu1[26]*Gu2[25] + Gu1[32]*Gu2[31] + Gu1[38]*Gu2[37] + Gu1[44]*Gu2[43] + Gu1[50]*Gu2[49] + Gu1[56]*Gu2[55] + Gu1[62]*Gu2[61] + Gu1[68]*Gu2[67]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 2)] = + Gu1[2]*Gu2[2] + Gu1[8]*Gu2[8] + Gu1[14]*Gu2[14] + Gu1[20]*Gu2[20] + Gu1[26]*Gu2[26] + Gu1[32]*Gu2[32] + Gu1[38]*Gu2[38] + Gu1[44]*Gu2[44] + Gu1[50]*Gu2[50] + Gu1[56]*Gu2[56] + Gu1[62]*Gu2[62] + Gu1[68]*Gu2[68]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 3)] = + Gu1[2]*Gu2[3] + Gu1[8]*Gu2[9] + Gu1[14]*Gu2[15] + Gu1[20]*Gu2[21] + Gu1[26]*Gu2[27] + Gu1[32]*Gu2[33] + Gu1[38]*Gu2[39] + Gu1[44]*Gu2[45] + Gu1[50]*Gu2[51] + Gu1[56]*Gu2[57] + Gu1[62]*Gu2[63] + Gu1[68]*Gu2[69]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 4)] = + Gu1[2]*Gu2[4] + Gu1[8]*Gu2[10] + Gu1[14]*Gu2[16] + Gu1[20]*Gu2[22] + Gu1[26]*Gu2[28] + Gu1[32]*Gu2[34] + Gu1[38]*Gu2[40] + Gu1[44]*Gu2[46] + Gu1[50]*Gu2[52] + Gu1[56]*Gu2[58] + Gu1[62]*Gu2[64] + Gu1[68]*Gu2[70]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 5)] = + Gu1[2]*Gu2[5] + Gu1[8]*Gu2[11] + Gu1[14]*Gu2[17] + Gu1[20]*Gu2[23] + Gu1[26]*Gu2[29] + Gu1[32]*Gu2[35] + Gu1[38]*Gu2[41] + Gu1[44]*Gu2[47] + Gu1[50]*Gu2[53] + Gu1[56]*Gu2[59] + Gu1[62]*Gu2[65] + Gu1[68]*Gu2[71]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6)] = + Gu1[3]*Gu2[0] + Gu1[9]*Gu2[6] + Gu1[15]*Gu2[12] + Gu1[21]*Gu2[18] + Gu1[27]*Gu2[24] + Gu1[33]*Gu2[30] + Gu1[39]*Gu2[36] + Gu1[45]*Gu2[42] + Gu1[51]*Gu2[48] + Gu1[57]*Gu2[54] + Gu1[63]*Gu2[60] + Gu1[69]*Gu2[66]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 1)] = + Gu1[3]*Gu2[1] + Gu1[9]*Gu2[7] + Gu1[15]*Gu2[13] + Gu1[21]*Gu2[19] + Gu1[27]*Gu2[25] + Gu1[33]*Gu2[31] + Gu1[39]*Gu2[37] + Gu1[45]*Gu2[43] + Gu1[51]*Gu2[49] + Gu1[57]*Gu2[55] + Gu1[63]*Gu2[61] + Gu1[69]*Gu2[67]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 2)] = + Gu1[3]*Gu2[2] + Gu1[9]*Gu2[8] + Gu1[15]*Gu2[14] + Gu1[21]*Gu2[20] + Gu1[27]*Gu2[26] + Gu1[33]*Gu2[32] + Gu1[39]*Gu2[38] + Gu1[45]*Gu2[44] + Gu1[51]*Gu2[50] + Gu1[57]*Gu2[56] + Gu1[63]*Gu2[62] + Gu1[69]*Gu2[68]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 3)] = + Gu1[3]*Gu2[3] + Gu1[9]*Gu2[9] + Gu1[15]*Gu2[15] + Gu1[21]*Gu2[21] + Gu1[27]*Gu2[27] + Gu1[33]*Gu2[33] + Gu1[39]*Gu2[39] + Gu1[45]*Gu2[45] + Gu1[51]*Gu2[51] + Gu1[57]*Gu2[57] + Gu1[63]*Gu2[63] + Gu1[69]*Gu2[69]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 4)] = + Gu1[3]*Gu2[4] + Gu1[9]*Gu2[10] + Gu1[15]*Gu2[16] + Gu1[21]*Gu2[22] + Gu1[27]*Gu2[28] + Gu1[33]*Gu2[34] + Gu1[39]*Gu2[40] + Gu1[45]*Gu2[46] + Gu1[51]*Gu2[52] + Gu1[57]*Gu2[58] + Gu1[63]*Gu2[64] + Gu1[69]*Gu2[70]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 5)] = + Gu1[3]*Gu2[5] + Gu1[9]*Gu2[11] + Gu1[15]*Gu2[17] + Gu1[21]*Gu2[23] + Gu1[27]*Gu2[29] + Gu1[33]*Gu2[35] + Gu1[39]*Gu2[41] + Gu1[45]*Gu2[47] + Gu1[51]*Gu2[53] + Gu1[57]*Gu2[59] + Gu1[63]*Gu2[65] + Gu1[69]*Gu2[71]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6)] = + Gu1[4]*Gu2[0] + Gu1[10]*Gu2[6] + Gu1[16]*Gu2[12] + Gu1[22]*Gu2[18] + Gu1[28]*Gu2[24] + Gu1[34]*Gu2[30] + Gu1[40]*Gu2[36] + Gu1[46]*Gu2[42] + Gu1[52]*Gu2[48] + Gu1[58]*Gu2[54] + Gu1[64]*Gu2[60] + Gu1[70]*Gu2[66]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 1)] = + Gu1[4]*Gu2[1] + Gu1[10]*Gu2[7] + Gu1[16]*Gu2[13] + Gu1[22]*Gu2[19] + Gu1[28]*Gu2[25] + Gu1[34]*Gu2[31] + Gu1[40]*Gu2[37] + Gu1[46]*Gu2[43] + Gu1[52]*Gu2[49] + Gu1[58]*Gu2[55] + Gu1[64]*Gu2[61] + Gu1[70]*Gu2[67]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 2)] = + Gu1[4]*Gu2[2] + Gu1[10]*Gu2[8] + Gu1[16]*Gu2[14] + Gu1[22]*Gu2[20] + Gu1[28]*Gu2[26] + Gu1[34]*Gu2[32] + Gu1[40]*Gu2[38] + Gu1[46]*Gu2[44] + Gu1[52]*Gu2[50] + Gu1[58]*Gu2[56] + Gu1[64]*Gu2[62] + Gu1[70]*Gu2[68]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 3)] = + Gu1[4]*Gu2[3] + Gu1[10]*Gu2[9] + Gu1[16]*Gu2[15] + Gu1[22]*Gu2[21] + Gu1[28]*Gu2[27] + Gu1[34]*Gu2[33] + Gu1[40]*Gu2[39] + Gu1[46]*Gu2[45] + Gu1[52]*Gu2[51] + Gu1[58]*Gu2[57] + Gu1[64]*Gu2[63] + Gu1[70]*Gu2[69]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 4)] = + Gu1[4]*Gu2[4] + Gu1[10]*Gu2[10] + Gu1[16]*Gu2[16] + Gu1[22]*Gu2[22] + Gu1[28]*Gu2[28] + Gu1[34]*Gu2[34] + Gu1[40]*Gu2[40] + Gu1[46]*Gu2[46] + Gu1[52]*Gu2[52] + Gu1[58]*Gu2[58] + Gu1[64]*Gu2[64] + Gu1[70]*Gu2[70]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 5)] = + Gu1[4]*Gu2[5] + Gu1[10]*Gu2[11] + Gu1[16]*Gu2[17] + Gu1[22]*Gu2[23] + Gu1[28]*Gu2[29] + Gu1[34]*Gu2[35] + Gu1[40]*Gu2[41] + Gu1[46]*Gu2[47] + Gu1[52]*Gu2[53] + Gu1[58]*Gu2[59] + Gu1[64]*Gu2[65] + Gu1[70]*Gu2[71]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6)] = + Gu1[5]*Gu2[0] + Gu1[11]*Gu2[6] + Gu1[17]*Gu2[12] + Gu1[23]*Gu2[18] + Gu1[29]*Gu2[24] + Gu1[35]*Gu2[30] + Gu1[41]*Gu2[36] + Gu1[47]*Gu2[42] + Gu1[53]*Gu2[48] + Gu1[59]*Gu2[54] + Gu1[65]*Gu2[60] + Gu1[71]*Gu2[66]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 1)] = + Gu1[5]*Gu2[1] + Gu1[11]*Gu2[7] + Gu1[17]*Gu2[13] + Gu1[23]*Gu2[19] + Gu1[29]*Gu2[25] + Gu1[35]*Gu2[31] + Gu1[41]*Gu2[37] + Gu1[47]*Gu2[43] + Gu1[53]*Gu2[49] + Gu1[59]*Gu2[55] + Gu1[65]*Gu2[61] + Gu1[71]*Gu2[67]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 2)] = + Gu1[5]*Gu2[2] + Gu1[11]*Gu2[8] + Gu1[17]*Gu2[14] + Gu1[23]*Gu2[20] + Gu1[29]*Gu2[26] + Gu1[35]*Gu2[32] + Gu1[41]*Gu2[38] + Gu1[47]*Gu2[44] + Gu1[53]*Gu2[50] + Gu1[59]*Gu2[56] + Gu1[65]*Gu2[62] + Gu1[71]*Gu2[68]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 3)] = + Gu1[5]*Gu2[3] + Gu1[11]*Gu2[9] + Gu1[17]*Gu2[15] + Gu1[23]*Gu2[21] + Gu1[29]*Gu2[27] + Gu1[35]*Gu2[33] + Gu1[41]*Gu2[39] + Gu1[47]*Gu2[45] + Gu1[53]*Gu2[51] + Gu1[59]*Gu2[57] + Gu1[65]*Gu2[63] + Gu1[71]*Gu2[69]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 4)] = + Gu1[5]*Gu2[4] + Gu1[11]*Gu2[10] + Gu1[17]*Gu2[16] + Gu1[23]*Gu2[22] + Gu1[29]*Gu2[28] + Gu1[35]*Gu2[34] + Gu1[41]*Gu2[40] + Gu1[47]*Gu2[46] + Gu1[53]*Gu2[52] + Gu1[59]*Gu2[58] + Gu1[65]*Gu2[64] + Gu1[71]*Gu2[70]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 5)] = + Gu1[5]*Gu2[5] + Gu1[11]*Gu2[11] + Gu1[17]*Gu2[17] + Gu1[23]*Gu2[23] + Gu1[29]*Gu2[29] + Gu1[35]*Gu2[35] + Gu1[41]*Gu2[41] + Gu1[47]*Gu2[47] + Gu1[53]*Gu2[53] + Gu1[59]*Gu2[59] + Gu1[65]*Gu2[65] + Gu1[71]*Gu2[71]; } void acado_multBTW1_R1( real_t* const R11, real_t* const Gu1, real_t* const Gu2, int iRow ) { -acadoWorkspace.H[iRow * 324] = + Gu1[0]*Gu2[0] + Gu1[4]*Gu2[4] + Gu1[8]*Gu2[8] + Gu1[12]*Gu2[12] + Gu1[16]*Gu2[16] + Gu1[20]*Gu2[20] + Gu1[24]*Gu2[24] + Gu1[28]*Gu2[28] + Gu1[32]*Gu2[32] + Gu1[36]*Gu2[36] + Gu1[40]*Gu2[40] + Gu1[44]*Gu2[44] + R11[0]; -acadoWorkspace.H[iRow * 324 + 1] = + Gu1[0]*Gu2[1] + Gu1[4]*Gu2[5] + Gu1[8]*Gu2[9] + Gu1[12]*Gu2[13] + Gu1[16]*Gu2[17] + Gu1[20]*Gu2[21] + Gu1[24]*Gu2[25] + Gu1[28]*Gu2[29] + Gu1[32]*Gu2[33] + Gu1[36]*Gu2[37] + Gu1[40]*Gu2[41] + Gu1[44]*Gu2[45] + R11[1]; -acadoWorkspace.H[iRow * 324 + 2] = + Gu1[0]*Gu2[2] + Gu1[4]*Gu2[6] + Gu1[8]*Gu2[10] + Gu1[12]*Gu2[14] + Gu1[16]*Gu2[18] + Gu1[20]*Gu2[22] + Gu1[24]*Gu2[26] + Gu1[28]*Gu2[30] + Gu1[32]*Gu2[34] + Gu1[36]*Gu2[38] + Gu1[40]*Gu2[42] + Gu1[44]*Gu2[46] + R11[2]; -acadoWorkspace.H[iRow * 324 + 3] = + Gu1[0]*Gu2[3] + Gu1[4]*Gu2[7] + Gu1[8]*Gu2[11] + Gu1[12]*Gu2[15] + Gu1[16]*Gu2[19] + Gu1[20]*Gu2[23] + Gu1[24]*Gu2[27] + Gu1[28]*Gu2[31] + Gu1[32]*Gu2[35] + Gu1[36]*Gu2[39] + Gu1[40]*Gu2[43] + Gu1[44]*Gu2[47] + R11[3]; -acadoWorkspace.H[iRow * 324 + 80] = + Gu1[1]*Gu2[0] + Gu1[5]*Gu2[4] + Gu1[9]*Gu2[8] + Gu1[13]*Gu2[12] + Gu1[17]*Gu2[16] + Gu1[21]*Gu2[20] + Gu1[25]*Gu2[24] + Gu1[29]*Gu2[28] + Gu1[33]*Gu2[32] + Gu1[37]*Gu2[36] + Gu1[41]*Gu2[40] + Gu1[45]*Gu2[44] + R11[4]; -acadoWorkspace.H[iRow * 324 + 81] = + Gu1[1]*Gu2[1] + Gu1[5]*Gu2[5] + Gu1[9]*Gu2[9] + Gu1[13]*Gu2[13] + Gu1[17]*Gu2[17] + Gu1[21]*Gu2[21] + Gu1[25]*Gu2[25] + Gu1[29]*Gu2[29] + Gu1[33]*Gu2[33] + Gu1[37]*Gu2[37] + Gu1[41]*Gu2[41] + Gu1[45]*Gu2[45] + R11[5]; -acadoWorkspace.H[iRow * 324 + 82] = + Gu1[1]*Gu2[2] + Gu1[5]*Gu2[6] + Gu1[9]*Gu2[10] + Gu1[13]*Gu2[14] + Gu1[17]*Gu2[18] + Gu1[21]*Gu2[22] + Gu1[25]*Gu2[26] + Gu1[29]*Gu2[30] + Gu1[33]*Gu2[34] + Gu1[37]*Gu2[38] + Gu1[41]*Gu2[42] + Gu1[45]*Gu2[46] + R11[6]; -acadoWorkspace.H[iRow * 324 + 83] = + Gu1[1]*Gu2[3] + Gu1[5]*Gu2[7] + Gu1[9]*Gu2[11] + Gu1[13]*Gu2[15] + Gu1[17]*Gu2[19] + Gu1[21]*Gu2[23] + Gu1[25]*Gu2[27] + Gu1[29]*Gu2[31] + Gu1[33]*Gu2[35] + Gu1[37]*Gu2[39] + Gu1[41]*Gu2[43] + Gu1[45]*Gu2[47] + R11[7]; -acadoWorkspace.H[iRow * 324 + 160] = + Gu1[2]*Gu2[0] + Gu1[6]*Gu2[4] + Gu1[10]*Gu2[8] + Gu1[14]*Gu2[12] + Gu1[18]*Gu2[16] + Gu1[22]*Gu2[20] + Gu1[26]*Gu2[24] + Gu1[30]*Gu2[28] + Gu1[34]*Gu2[32] + Gu1[38]*Gu2[36] + Gu1[42]*Gu2[40] + Gu1[46]*Gu2[44] + R11[8]; -acadoWorkspace.H[iRow * 324 + 161] = + Gu1[2]*Gu2[1] + Gu1[6]*Gu2[5] + Gu1[10]*Gu2[9] + Gu1[14]*Gu2[13] + Gu1[18]*Gu2[17] + Gu1[22]*Gu2[21] + Gu1[26]*Gu2[25] + Gu1[30]*Gu2[29] + Gu1[34]*Gu2[33] + Gu1[38]*Gu2[37] + Gu1[42]*Gu2[41] + Gu1[46]*Gu2[45] + R11[9]; -acadoWorkspace.H[iRow * 324 + 162] = + Gu1[2]*Gu2[2] + Gu1[6]*Gu2[6] + Gu1[10]*Gu2[10] + Gu1[14]*Gu2[14] + Gu1[18]*Gu2[18] + Gu1[22]*Gu2[22] + Gu1[26]*Gu2[26] + Gu1[30]*Gu2[30] + Gu1[34]*Gu2[34] + Gu1[38]*Gu2[38] + Gu1[42]*Gu2[42] + Gu1[46]*Gu2[46] + R11[10]; -acadoWorkspace.H[iRow * 324 + 163] = + Gu1[2]*Gu2[3] + Gu1[6]*Gu2[7] + Gu1[10]*Gu2[11] + Gu1[14]*Gu2[15] + Gu1[18]*Gu2[19] + Gu1[22]*Gu2[23] + Gu1[26]*Gu2[27] + Gu1[30]*Gu2[31] + Gu1[34]*Gu2[35] + Gu1[38]*Gu2[39] + Gu1[42]*Gu2[43] + Gu1[46]*Gu2[47] + R11[11]; -acadoWorkspace.H[iRow * 324 + 240] = + Gu1[3]*Gu2[0] + Gu1[7]*Gu2[4] + Gu1[11]*Gu2[8] + Gu1[15]*Gu2[12] + Gu1[19]*Gu2[16] + Gu1[23]*Gu2[20] + Gu1[27]*Gu2[24] + Gu1[31]*Gu2[28] + Gu1[35]*Gu2[32] + Gu1[39]*Gu2[36] + Gu1[43]*Gu2[40] + Gu1[47]*Gu2[44] + R11[12]; -acadoWorkspace.H[iRow * 324 + 241] = + Gu1[3]*Gu2[1] + Gu1[7]*Gu2[5] + Gu1[11]*Gu2[9] + Gu1[15]*Gu2[13] + Gu1[19]*Gu2[17] + Gu1[23]*Gu2[21] + Gu1[27]*Gu2[25] + Gu1[31]*Gu2[29] + Gu1[35]*Gu2[33] + Gu1[39]*Gu2[37] + Gu1[43]*Gu2[41] + Gu1[47]*Gu2[45] + R11[13]; -acadoWorkspace.H[iRow * 324 + 242] = + Gu1[3]*Gu2[2] + Gu1[7]*Gu2[6] + Gu1[11]*Gu2[10] + Gu1[15]*Gu2[14] + Gu1[19]*Gu2[18] + Gu1[23]*Gu2[22] + Gu1[27]*Gu2[26] + Gu1[31]*Gu2[30] + Gu1[35]*Gu2[34] + Gu1[39]*Gu2[38] + Gu1[43]*Gu2[42] + Gu1[47]*Gu2[46] + R11[14]; -acadoWorkspace.H[iRow * 324 + 243] = + Gu1[3]*Gu2[3] + Gu1[7]*Gu2[7] + Gu1[11]*Gu2[11] + Gu1[15]*Gu2[15] + Gu1[19]*Gu2[19] + Gu1[23]*Gu2[23] + Gu1[27]*Gu2[27] + Gu1[31]*Gu2[31] + Gu1[35]*Gu2[35] + Gu1[39]*Gu2[39] + Gu1[43]*Gu2[43] + Gu1[47]*Gu2[47] + R11[15]; -acadoWorkspace.H[iRow * 324] += 1.0000000000000000e-10; -acadoWorkspace.H[iRow * 324 + 81] += 1.0000000000000000e-10; -acadoWorkspace.H[iRow * 324 + 162] += 1.0000000000000000e-10; -acadoWorkspace.H[iRow * 324 + 243] += 1.0000000000000000e-10; +acadoWorkspace.H[iRow * 726] = + Gu1[0]*Gu2[0] + Gu1[6]*Gu2[6] + Gu1[12]*Gu2[12] + Gu1[18]*Gu2[18] + Gu1[24]*Gu2[24] + Gu1[30]*Gu2[30] + Gu1[36]*Gu2[36] + Gu1[42]*Gu2[42] + Gu1[48]*Gu2[48] + Gu1[54]*Gu2[54] + Gu1[60]*Gu2[60] + Gu1[66]*Gu2[66] + R11[0]; +acadoWorkspace.H[iRow * 726 + 1] = + Gu1[0]*Gu2[1] + Gu1[6]*Gu2[7] + Gu1[12]*Gu2[13] + Gu1[18]*Gu2[19] + Gu1[24]*Gu2[25] + Gu1[30]*Gu2[31] + Gu1[36]*Gu2[37] + Gu1[42]*Gu2[43] + Gu1[48]*Gu2[49] + Gu1[54]*Gu2[55] + Gu1[60]*Gu2[61] + Gu1[66]*Gu2[67] + R11[1]; +acadoWorkspace.H[iRow * 726 + 2] = + Gu1[0]*Gu2[2] + Gu1[6]*Gu2[8] + Gu1[12]*Gu2[14] + Gu1[18]*Gu2[20] + Gu1[24]*Gu2[26] + Gu1[30]*Gu2[32] + Gu1[36]*Gu2[38] + Gu1[42]*Gu2[44] + Gu1[48]*Gu2[50] + Gu1[54]*Gu2[56] + Gu1[60]*Gu2[62] + Gu1[66]*Gu2[68] + R11[2]; +acadoWorkspace.H[iRow * 726 + 3] = + Gu1[0]*Gu2[3] + Gu1[6]*Gu2[9] + Gu1[12]*Gu2[15] + Gu1[18]*Gu2[21] + Gu1[24]*Gu2[27] + Gu1[30]*Gu2[33] + Gu1[36]*Gu2[39] + Gu1[42]*Gu2[45] + Gu1[48]*Gu2[51] + Gu1[54]*Gu2[57] + Gu1[60]*Gu2[63] + Gu1[66]*Gu2[69] + R11[3]; +acadoWorkspace.H[iRow * 726 + 4] = + Gu1[0]*Gu2[4] + Gu1[6]*Gu2[10] + Gu1[12]*Gu2[16] + Gu1[18]*Gu2[22] + Gu1[24]*Gu2[28] + Gu1[30]*Gu2[34] + Gu1[36]*Gu2[40] + Gu1[42]*Gu2[46] + Gu1[48]*Gu2[52] + Gu1[54]*Gu2[58] + Gu1[60]*Gu2[64] + Gu1[66]*Gu2[70] + R11[4]; +acadoWorkspace.H[iRow * 726 + 5] = + Gu1[0]*Gu2[5] + Gu1[6]*Gu2[11] + Gu1[12]*Gu2[17] + Gu1[18]*Gu2[23] + Gu1[24]*Gu2[29] + Gu1[30]*Gu2[35] + Gu1[36]*Gu2[41] + Gu1[42]*Gu2[47] + Gu1[48]*Gu2[53] + Gu1[54]*Gu2[59] + Gu1[60]*Gu2[65] + Gu1[66]*Gu2[71] + R11[5]; +acadoWorkspace.H[iRow * 726 + 120] = + Gu1[1]*Gu2[0] + Gu1[7]*Gu2[6] + Gu1[13]*Gu2[12] + Gu1[19]*Gu2[18] + Gu1[25]*Gu2[24] + Gu1[31]*Gu2[30] + Gu1[37]*Gu2[36] + Gu1[43]*Gu2[42] + Gu1[49]*Gu2[48] + Gu1[55]*Gu2[54] + Gu1[61]*Gu2[60] + Gu1[67]*Gu2[66] + R11[6]; +acadoWorkspace.H[iRow * 726 + 121] = + Gu1[1]*Gu2[1] + Gu1[7]*Gu2[7] + Gu1[13]*Gu2[13] + Gu1[19]*Gu2[19] + Gu1[25]*Gu2[25] + Gu1[31]*Gu2[31] + Gu1[37]*Gu2[37] + Gu1[43]*Gu2[43] + Gu1[49]*Gu2[49] + Gu1[55]*Gu2[55] + Gu1[61]*Gu2[61] + Gu1[67]*Gu2[67] + R11[7]; +acadoWorkspace.H[iRow * 726 + 122] = + Gu1[1]*Gu2[2] + Gu1[7]*Gu2[8] + Gu1[13]*Gu2[14] + Gu1[19]*Gu2[20] + Gu1[25]*Gu2[26] + Gu1[31]*Gu2[32] + Gu1[37]*Gu2[38] + Gu1[43]*Gu2[44] + Gu1[49]*Gu2[50] + Gu1[55]*Gu2[56] + Gu1[61]*Gu2[62] + Gu1[67]*Gu2[68] + R11[8]; +acadoWorkspace.H[iRow * 726 + 123] = + Gu1[1]*Gu2[3] + Gu1[7]*Gu2[9] + Gu1[13]*Gu2[15] + Gu1[19]*Gu2[21] + Gu1[25]*Gu2[27] + Gu1[31]*Gu2[33] + Gu1[37]*Gu2[39] + Gu1[43]*Gu2[45] + Gu1[49]*Gu2[51] + Gu1[55]*Gu2[57] + Gu1[61]*Gu2[63] + Gu1[67]*Gu2[69] + R11[9]; +acadoWorkspace.H[iRow * 726 + 124] = + Gu1[1]*Gu2[4] + Gu1[7]*Gu2[10] + Gu1[13]*Gu2[16] + Gu1[19]*Gu2[22] + Gu1[25]*Gu2[28] + Gu1[31]*Gu2[34] + Gu1[37]*Gu2[40] + Gu1[43]*Gu2[46] + Gu1[49]*Gu2[52] + Gu1[55]*Gu2[58] + Gu1[61]*Gu2[64] + Gu1[67]*Gu2[70] + R11[10]; +acadoWorkspace.H[iRow * 726 + 125] = + Gu1[1]*Gu2[5] + Gu1[7]*Gu2[11] + Gu1[13]*Gu2[17] + Gu1[19]*Gu2[23] + Gu1[25]*Gu2[29] + Gu1[31]*Gu2[35] + Gu1[37]*Gu2[41] + Gu1[43]*Gu2[47] + Gu1[49]*Gu2[53] + Gu1[55]*Gu2[59] + Gu1[61]*Gu2[65] + Gu1[67]*Gu2[71] + R11[11]; +acadoWorkspace.H[iRow * 726 + 240] = + Gu1[2]*Gu2[0] + Gu1[8]*Gu2[6] + Gu1[14]*Gu2[12] + Gu1[20]*Gu2[18] + Gu1[26]*Gu2[24] + Gu1[32]*Gu2[30] + Gu1[38]*Gu2[36] + Gu1[44]*Gu2[42] + Gu1[50]*Gu2[48] + Gu1[56]*Gu2[54] + Gu1[62]*Gu2[60] + Gu1[68]*Gu2[66] + R11[12]; +acadoWorkspace.H[iRow * 726 + 241] = + Gu1[2]*Gu2[1] + Gu1[8]*Gu2[7] + Gu1[14]*Gu2[13] + Gu1[20]*Gu2[19] + Gu1[26]*Gu2[25] + Gu1[32]*Gu2[31] + Gu1[38]*Gu2[37] + Gu1[44]*Gu2[43] + Gu1[50]*Gu2[49] + Gu1[56]*Gu2[55] + Gu1[62]*Gu2[61] + Gu1[68]*Gu2[67] + R11[13]; +acadoWorkspace.H[iRow * 726 + 242] = + Gu1[2]*Gu2[2] + Gu1[8]*Gu2[8] + Gu1[14]*Gu2[14] + Gu1[20]*Gu2[20] + Gu1[26]*Gu2[26] + Gu1[32]*Gu2[32] + Gu1[38]*Gu2[38] + Gu1[44]*Gu2[44] + Gu1[50]*Gu2[50] + Gu1[56]*Gu2[56] + Gu1[62]*Gu2[62] + Gu1[68]*Gu2[68] + R11[14]; +acadoWorkspace.H[iRow * 726 + 243] = + Gu1[2]*Gu2[3] + Gu1[8]*Gu2[9] + Gu1[14]*Gu2[15] + Gu1[20]*Gu2[21] + Gu1[26]*Gu2[27] + Gu1[32]*Gu2[33] + Gu1[38]*Gu2[39] + Gu1[44]*Gu2[45] + Gu1[50]*Gu2[51] + Gu1[56]*Gu2[57] + Gu1[62]*Gu2[63] + Gu1[68]*Gu2[69] + R11[15]; +acadoWorkspace.H[iRow * 726 + 244] = + Gu1[2]*Gu2[4] + Gu1[8]*Gu2[10] + Gu1[14]*Gu2[16] + Gu1[20]*Gu2[22] + Gu1[26]*Gu2[28] + Gu1[32]*Gu2[34] + Gu1[38]*Gu2[40] + Gu1[44]*Gu2[46] + Gu1[50]*Gu2[52] + Gu1[56]*Gu2[58] + Gu1[62]*Gu2[64] + Gu1[68]*Gu2[70] + R11[16]; +acadoWorkspace.H[iRow * 726 + 245] = + Gu1[2]*Gu2[5] + Gu1[8]*Gu2[11] + Gu1[14]*Gu2[17] + Gu1[20]*Gu2[23] + Gu1[26]*Gu2[29] + Gu1[32]*Gu2[35] + Gu1[38]*Gu2[41] + Gu1[44]*Gu2[47] + Gu1[50]*Gu2[53] + Gu1[56]*Gu2[59] + Gu1[62]*Gu2[65] + Gu1[68]*Gu2[71] + R11[17]; +acadoWorkspace.H[iRow * 726 + 360] = + Gu1[3]*Gu2[0] + Gu1[9]*Gu2[6] + Gu1[15]*Gu2[12] + Gu1[21]*Gu2[18] + Gu1[27]*Gu2[24] + Gu1[33]*Gu2[30] + Gu1[39]*Gu2[36] + Gu1[45]*Gu2[42] + Gu1[51]*Gu2[48] + Gu1[57]*Gu2[54] + Gu1[63]*Gu2[60] + Gu1[69]*Gu2[66] + R11[18]; +acadoWorkspace.H[iRow * 726 + 361] = + Gu1[3]*Gu2[1] + Gu1[9]*Gu2[7] + Gu1[15]*Gu2[13] + Gu1[21]*Gu2[19] + Gu1[27]*Gu2[25] + Gu1[33]*Gu2[31] + Gu1[39]*Gu2[37] + Gu1[45]*Gu2[43] + Gu1[51]*Gu2[49] + Gu1[57]*Gu2[55] + Gu1[63]*Gu2[61] + Gu1[69]*Gu2[67] + R11[19]; +acadoWorkspace.H[iRow * 726 + 362] = + Gu1[3]*Gu2[2] + Gu1[9]*Gu2[8] + Gu1[15]*Gu2[14] + Gu1[21]*Gu2[20] + Gu1[27]*Gu2[26] + Gu1[33]*Gu2[32] + Gu1[39]*Gu2[38] + Gu1[45]*Gu2[44] + Gu1[51]*Gu2[50] + Gu1[57]*Gu2[56] + Gu1[63]*Gu2[62] + Gu1[69]*Gu2[68] + R11[20]; +acadoWorkspace.H[iRow * 726 + 363] = + Gu1[3]*Gu2[3] + Gu1[9]*Gu2[9] + Gu1[15]*Gu2[15] + Gu1[21]*Gu2[21] + Gu1[27]*Gu2[27] + Gu1[33]*Gu2[33] + Gu1[39]*Gu2[39] + Gu1[45]*Gu2[45] + Gu1[51]*Gu2[51] + Gu1[57]*Gu2[57] + Gu1[63]*Gu2[63] + Gu1[69]*Gu2[69] + R11[21]; +acadoWorkspace.H[iRow * 726 + 364] = + Gu1[3]*Gu2[4] + Gu1[9]*Gu2[10] + Gu1[15]*Gu2[16] + Gu1[21]*Gu2[22] + Gu1[27]*Gu2[28] + Gu1[33]*Gu2[34] + Gu1[39]*Gu2[40] + Gu1[45]*Gu2[46] + Gu1[51]*Gu2[52] + Gu1[57]*Gu2[58] + Gu1[63]*Gu2[64] + Gu1[69]*Gu2[70] + R11[22]; +acadoWorkspace.H[iRow * 726 + 365] = + Gu1[3]*Gu2[5] + Gu1[9]*Gu2[11] + Gu1[15]*Gu2[17] + Gu1[21]*Gu2[23] + Gu1[27]*Gu2[29] + Gu1[33]*Gu2[35] + Gu1[39]*Gu2[41] + Gu1[45]*Gu2[47] + Gu1[51]*Gu2[53] + Gu1[57]*Gu2[59] + Gu1[63]*Gu2[65] + Gu1[69]*Gu2[71] + R11[23]; +acadoWorkspace.H[iRow * 726 + 480] = + Gu1[4]*Gu2[0] + Gu1[10]*Gu2[6] + Gu1[16]*Gu2[12] + Gu1[22]*Gu2[18] + Gu1[28]*Gu2[24] + Gu1[34]*Gu2[30] + Gu1[40]*Gu2[36] + Gu1[46]*Gu2[42] + Gu1[52]*Gu2[48] + Gu1[58]*Gu2[54] + Gu1[64]*Gu2[60] + Gu1[70]*Gu2[66] + R11[24]; +acadoWorkspace.H[iRow * 726 + 481] = + Gu1[4]*Gu2[1] + Gu1[10]*Gu2[7] + Gu1[16]*Gu2[13] + Gu1[22]*Gu2[19] + Gu1[28]*Gu2[25] + Gu1[34]*Gu2[31] + Gu1[40]*Gu2[37] + Gu1[46]*Gu2[43] + Gu1[52]*Gu2[49] + Gu1[58]*Gu2[55] + Gu1[64]*Gu2[61] + Gu1[70]*Gu2[67] + R11[25]; +acadoWorkspace.H[iRow * 726 + 482] = + Gu1[4]*Gu2[2] + Gu1[10]*Gu2[8] + Gu1[16]*Gu2[14] + Gu1[22]*Gu2[20] + Gu1[28]*Gu2[26] + Gu1[34]*Gu2[32] + Gu1[40]*Gu2[38] + Gu1[46]*Gu2[44] + Gu1[52]*Gu2[50] + Gu1[58]*Gu2[56] + Gu1[64]*Gu2[62] + Gu1[70]*Gu2[68] + R11[26]; +acadoWorkspace.H[iRow * 726 + 483] = + Gu1[4]*Gu2[3] + Gu1[10]*Gu2[9] + Gu1[16]*Gu2[15] + Gu1[22]*Gu2[21] + Gu1[28]*Gu2[27] + Gu1[34]*Gu2[33] + Gu1[40]*Gu2[39] + Gu1[46]*Gu2[45] + Gu1[52]*Gu2[51] + Gu1[58]*Gu2[57] + Gu1[64]*Gu2[63] + Gu1[70]*Gu2[69] + R11[27]; +acadoWorkspace.H[iRow * 726 + 484] = + Gu1[4]*Gu2[4] + Gu1[10]*Gu2[10] + Gu1[16]*Gu2[16] + Gu1[22]*Gu2[22] + Gu1[28]*Gu2[28] + Gu1[34]*Gu2[34] + Gu1[40]*Gu2[40] + Gu1[46]*Gu2[46] + Gu1[52]*Gu2[52] + Gu1[58]*Gu2[58] + Gu1[64]*Gu2[64] + Gu1[70]*Gu2[70] + R11[28]; +acadoWorkspace.H[iRow * 726 + 485] = + Gu1[4]*Gu2[5] + Gu1[10]*Gu2[11] + Gu1[16]*Gu2[17] + Gu1[22]*Gu2[23] + Gu1[28]*Gu2[29] + Gu1[34]*Gu2[35] + Gu1[40]*Gu2[41] + Gu1[46]*Gu2[47] + Gu1[52]*Gu2[53] + Gu1[58]*Gu2[59] + Gu1[64]*Gu2[65] + Gu1[70]*Gu2[71] + R11[29]; +acadoWorkspace.H[iRow * 726 + 600] = + Gu1[5]*Gu2[0] + Gu1[11]*Gu2[6] + Gu1[17]*Gu2[12] + Gu1[23]*Gu2[18] + Gu1[29]*Gu2[24] + Gu1[35]*Gu2[30] + Gu1[41]*Gu2[36] + Gu1[47]*Gu2[42] + Gu1[53]*Gu2[48] + Gu1[59]*Gu2[54] + Gu1[65]*Gu2[60] + Gu1[71]*Gu2[66] + R11[30]; +acadoWorkspace.H[iRow * 726 + 601] = + Gu1[5]*Gu2[1] + Gu1[11]*Gu2[7] + Gu1[17]*Gu2[13] + Gu1[23]*Gu2[19] + Gu1[29]*Gu2[25] + Gu1[35]*Gu2[31] + Gu1[41]*Gu2[37] + Gu1[47]*Gu2[43] + Gu1[53]*Gu2[49] + Gu1[59]*Gu2[55] + Gu1[65]*Gu2[61] + Gu1[71]*Gu2[67] + R11[31]; +acadoWorkspace.H[iRow * 726 + 602] = + Gu1[5]*Gu2[2] + Gu1[11]*Gu2[8] + Gu1[17]*Gu2[14] + Gu1[23]*Gu2[20] + Gu1[29]*Gu2[26] + Gu1[35]*Gu2[32] + Gu1[41]*Gu2[38] + Gu1[47]*Gu2[44] + Gu1[53]*Gu2[50] + Gu1[59]*Gu2[56] + Gu1[65]*Gu2[62] + Gu1[71]*Gu2[68] + R11[32]; +acadoWorkspace.H[iRow * 726 + 603] = + Gu1[5]*Gu2[3] + Gu1[11]*Gu2[9] + Gu1[17]*Gu2[15] + Gu1[23]*Gu2[21] + Gu1[29]*Gu2[27] + Gu1[35]*Gu2[33] + Gu1[41]*Gu2[39] + Gu1[47]*Gu2[45] + Gu1[53]*Gu2[51] + Gu1[59]*Gu2[57] + Gu1[65]*Gu2[63] + Gu1[71]*Gu2[69] + R11[33]; +acadoWorkspace.H[iRow * 726 + 604] = + Gu1[5]*Gu2[4] + Gu1[11]*Gu2[10] + Gu1[17]*Gu2[16] + Gu1[23]*Gu2[22] + Gu1[29]*Gu2[28] + Gu1[35]*Gu2[34] + Gu1[41]*Gu2[40] + Gu1[47]*Gu2[46] + Gu1[53]*Gu2[52] + Gu1[59]*Gu2[58] + Gu1[65]*Gu2[64] + Gu1[71]*Gu2[70] + R11[34]; +acadoWorkspace.H[iRow * 726 + 605] = + Gu1[5]*Gu2[5] + Gu1[11]*Gu2[11] + Gu1[17]*Gu2[17] + Gu1[23]*Gu2[23] + Gu1[29]*Gu2[29] + Gu1[35]*Gu2[35] + Gu1[41]*Gu2[41] + Gu1[47]*Gu2[47] + Gu1[53]*Gu2[53] + Gu1[59]*Gu2[59] + Gu1[65]*Gu2[65] + Gu1[71]*Gu2[71] + R11[35]; +acadoWorkspace.H[iRow * 726] += 1.0000000000000000e-10; +acadoWorkspace.H[iRow * 726 + 121] += 1.0000000000000000e-10; +acadoWorkspace.H[iRow * 726 + 242] += 1.0000000000000000e-10; +acadoWorkspace.H[iRow * 726 + 363] += 1.0000000000000000e-10; +acadoWorkspace.H[iRow * 726 + 484] += 1.0000000000000000e-10; +acadoWorkspace.H[iRow * 726 + 605] += 1.0000000000000000e-10; } void acado_multGxTGu( real_t* const Gx1, real_t* const Gu1, real_t* const Gu2 ) { -Gu2[0] = + Gx1[0]*Gu1[0] + Gx1[12]*Gu1[4] + Gx1[24]*Gu1[8] + Gx1[36]*Gu1[12] + Gx1[48]*Gu1[16] + Gx1[60]*Gu1[20] + Gx1[72]*Gu1[24] + Gx1[84]*Gu1[28] + Gx1[96]*Gu1[32] + Gx1[108]*Gu1[36] + Gx1[120]*Gu1[40] + Gx1[132]*Gu1[44]; -Gu2[1] = + Gx1[0]*Gu1[1] + Gx1[12]*Gu1[5] + Gx1[24]*Gu1[9] + Gx1[36]*Gu1[13] + Gx1[48]*Gu1[17] + Gx1[60]*Gu1[21] + Gx1[72]*Gu1[25] + Gx1[84]*Gu1[29] + Gx1[96]*Gu1[33] + Gx1[108]*Gu1[37] + Gx1[120]*Gu1[41] + Gx1[132]*Gu1[45]; -Gu2[2] = + Gx1[0]*Gu1[2] + Gx1[12]*Gu1[6] + Gx1[24]*Gu1[10] + Gx1[36]*Gu1[14] + Gx1[48]*Gu1[18] + Gx1[60]*Gu1[22] + Gx1[72]*Gu1[26] + Gx1[84]*Gu1[30] + Gx1[96]*Gu1[34] + Gx1[108]*Gu1[38] + Gx1[120]*Gu1[42] + Gx1[132]*Gu1[46]; -Gu2[3] = + Gx1[0]*Gu1[3] + Gx1[12]*Gu1[7] + Gx1[24]*Gu1[11] + Gx1[36]*Gu1[15] + Gx1[48]*Gu1[19] + Gx1[60]*Gu1[23] + Gx1[72]*Gu1[27] + Gx1[84]*Gu1[31] + Gx1[96]*Gu1[35] + Gx1[108]*Gu1[39] + Gx1[120]*Gu1[43] + Gx1[132]*Gu1[47]; -Gu2[4] = + Gx1[1]*Gu1[0] + Gx1[13]*Gu1[4] + Gx1[25]*Gu1[8] + Gx1[37]*Gu1[12] + Gx1[49]*Gu1[16] + Gx1[61]*Gu1[20] + Gx1[73]*Gu1[24] + Gx1[85]*Gu1[28] + Gx1[97]*Gu1[32] + Gx1[109]*Gu1[36] + Gx1[121]*Gu1[40] + Gx1[133]*Gu1[44]; -Gu2[5] = + Gx1[1]*Gu1[1] + Gx1[13]*Gu1[5] + Gx1[25]*Gu1[9] + Gx1[37]*Gu1[13] + Gx1[49]*Gu1[17] + Gx1[61]*Gu1[21] + Gx1[73]*Gu1[25] + Gx1[85]*Gu1[29] + Gx1[97]*Gu1[33] + Gx1[109]*Gu1[37] + Gx1[121]*Gu1[41] + Gx1[133]*Gu1[45]; -Gu2[6] = + Gx1[1]*Gu1[2] + Gx1[13]*Gu1[6] + Gx1[25]*Gu1[10] + Gx1[37]*Gu1[14] + Gx1[49]*Gu1[18] + Gx1[61]*Gu1[22] + Gx1[73]*Gu1[26] + Gx1[85]*Gu1[30] + Gx1[97]*Gu1[34] + Gx1[109]*Gu1[38] + Gx1[121]*Gu1[42] + Gx1[133]*Gu1[46]; -Gu2[7] = + Gx1[1]*Gu1[3] + Gx1[13]*Gu1[7] + Gx1[25]*Gu1[11] + Gx1[37]*Gu1[15] + Gx1[49]*Gu1[19] + Gx1[61]*Gu1[23] + Gx1[73]*Gu1[27] + Gx1[85]*Gu1[31] + Gx1[97]*Gu1[35] + Gx1[109]*Gu1[39] + Gx1[121]*Gu1[43] + Gx1[133]*Gu1[47]; -Gu2[8] = + Gx1[2]*Gu1[0] + Gx1[14]*Gu1[4] + Gx1[26]*Gu1[8] + Gx1[38]*Gu1[12] + Gx1[50]*Gu1[16] + Gx1[62]*Gu1[20] + Gx1[74]*Gu1[24] + Gx1[86]*Gu1[28] + Gx1[98]*Gu1[32] + Gx1[110]*Gu1[36] + Gx1[122]*Gu1[40] + Gx1[134]*Gu1[44]; -Gu2[9] = + Gx1[2]*Gu1[1] + Gx1[14]*Gu1[5] + Gx1[26]*Gu1[9] + Gx1[38]*Gu1[13] + Gx1[50]*Gu1[17] + Gx1[62]*Gu1[21] + Gx1[74]*Gu1[25] + Gx1[86]*Gu1[29] + Gx1[98]*Gu1[33] + Gx1[110]*Gu1[37] + Gx1[122]*Gu1[41] + Gx1[134]*Gu1[45]; -Gu2[10] = + Gx1[2]*Gu1[2] + Gx1[14]*Gu1[6] + Gx1[26]*Gu1[10] + Gx1[38]*Gu1[14] + Gx1[50]*Gu1[18] + Gx1[62]*Gu1[22] + Gx1[74]*Gu1[26] + Gx1[86]*Gu1[30] + Gx1[98]*Gu1[34] + Gx1[110]*Gu1[38] + Gx1[122]*Gu1[42] + Gx1[134]*Gu1[46]; -Gu2[11] = + Gx1[2]*Gu1[3] + Gx1[14]*Gu1[7] + Gx1[26]*Gu1[11] + Gx1[38]*Gu1[15] + Gx1[50]*Gu1[19] + Gx1[62]*Gu1[23] + Gx1[74]*Gu1[27] + Gx1[86]*Gu1[31] + Gx1[98]*Gu1[35] + Gx1[110]*Gu1[39] + Gx1[122]*Gu1[43] + Gx1[134]*Gu1[47]; -Gu2[12] = + Gx1[3]*Gu1[0] + Gx1[15]*Gu1[4] + Gx1[27]*Gu1[8] + Gx1[39]*Gu1[12] + Gx1[51]*Gu1[16] + Gx1[63]*Gu1[20] + Gx1[75]*Gu1[24] + Gx1[87]*Gu1[28] + Gx1[99]*Gu1[32] + Gx1[111]*Gu1[36] + Gx1[123]*Gu1[40] + Gx1[135]*Gu1[44]; -Gu2[13] = + Gx1[3]*Gu1[1] + Gx1[15]*Gu1[5] + Gx1[27]*Gu1[9] + Gx1[39]*Gu1[13] + Gx1[51]*Gu1[17] + Gx1[63]*Gu1[21] + Gx1[75]*Gu1[25] + Gx1[87]*Gu1[29] + Gx1[99]*Gu1[33] + Gx1[111]*Gu1[37] + Gx1[123]*Gu1[41] + Gx1[135]*Gu1[45]; -Gu2[14] = + Gx1[3]*Gu1[2] + Gx1[15]*Gu1[6] + Gx1[27]*Gu1[10] + Gx1[39]*Gu1[14] + Gx1[51]*Gu1[18] + Gx1[63]*Gu1[22] + Gx1[75]*Gu1[26] + Gx1[87]*Gu1[30] + Gx1[99]*Gu1[34] + Gx1[111]*Gu1[38] + Gx1[123]*Gu1[42] + Gx1[135]*Gu1[46]; -Gu2[15] = + Gx1[3]*Gu1[3] + Gx1[15]*Gu1[7] + Gx1[27]*Gu1[11] + Gx1[39]*Gu1[15] + Gx1[51]*Gu1[19] + Gx1[63]*Gu1[23] + Gx1[75]*Gu1[27] + Gx1[87]*Gu1[31] + Gx1[99]*Gu1[35] + Gx1[111]*Gu1[39] + Gx1[123]*Gu1[43] + Gx1[135]*Gu1[47]; -Gu2[16] = + Gx1[4]*Gu1[0] + Gx1[16]*Gu1[4] + Gx1[28]*Gu1[8] + Gx1[40]*Gu1[12] + Gx1[52]*Gu1[16] + Gx1[64]*Gu1[20] + Gx1[76]*Gu1[24] + Gx1[88]*Gu1[28] + Gx1[100]*Gu1[32] + Gx1[112]*Gu1[36] + Gx1[124]*Gu1[40] + Gx1[136]*Gu1[44]; -Gu2[17] = + Gx1[4]*Gu1[1] + Gx1[16]*Gu1[5] + Gx1[28]*Gu1[9] + Gx1[40]*Gu1[13] + Gx1[52]*Gu1[17] + Gx1[64]*Gu1[21] + Gx1[76]*Gu1[25] + Gx1[88]*Gu1[29] + Gx1[100]*Gu1[33] + Gx1[112]*Gu1[37] + Gx1[124]*Gu1[41] + Gx1[136]*Gu1[45]; -Gu2[18] = + Gx1[4]*Gu1[2] + Gx1[16]*Gu1[6] + Gx1[28]*Gu1[10] + Gx1[40]*Gu1[14] + Gx1[52]*Gu1[18] + Gx1[64]*Gu1[22] + Gx1[76]*Gu1[26] + Gx1[88]*Gu1[30] + Gx1[100]*Gu1[34] + Gx1[112]*Gu1[38] + Gx1[124]*Gu1[42] + Gx1[136]*Gu1[46]; -Gu2[19] = + Gx1[4]*Gu1[3] + Gx1[16]*Gu1[7] + Gx1[28]*Gu1[11] + Gx1[40]*Gu1[15] + Gx1[52]*Gu1[19] + Gx1[64]*Gu1[23] + Gx1[76]*Gu1[27] + Gx1[88]*Gu1[31] + Gx1[100]*Gu1[35] + Gx1[112]*Gu1[39] + Gx1[124]*Gu1[43] + Gx1[136]*Gu1[47]; -Gu2[20] = + Gx1[5]*Gu1[0] + Gx1[17]*Gu1[4] + Gx1[29]*Gu1[8] + Gx1[41]*Gu1[12] + Gx1[53]*Gu1[16] + Gx1[65]*Gu1[20] + Gx1[77]*Gu1[24] + Gx1[89]*Gu1[28] + Gx1[101]*Gu1[32] + Gx1[113]*Gu1[36] + Gx1[125]*Gu1[40] + Gx1[137]*Gu1[44]; -Gu2[21] = + Gx1[5]*Gu1[1] + Gx1[17]*Gu1[5] + Gx1[29]*Gu1[9] + Gx1[41]*Gu1[13] + Gx1[53]*Gu1[17] + Gx1[65]*Gu1[21] + Gx1[77]*Gu1[25] + Gx1[89]*Gu1[29] + Gx1[101]*Gu1[33] + Gx1[113]*Gu1[37] + Gx1[125]*Gu1[41] + Gx1[137]*Gu1[45]; -Gu2[22] = + Gx1[5]*Gu1[2] + Gx1[17]*Gu1[6] + Gx1[29]*Gu1[10] + Gx1[41]*Gu1[14] + Gx1[53]*Gu1[18] + Gx1[65]*Gu1[22] + Gx1[77]*Gu1[26] + Gx1[89]*Gu1[30] + Gx1[101]*Gu1[34] + Gx1[113]*Gu1[38] + Gx1[125]*Gu1[42] + Gx1[137]*Gu1[46]; -Gu2[23] = + Gx1[5]*Gu1[3] + Gx1[17]*Gu1[7] + Gx1[29]*Gu1[11] + Gx1[41]*Gu1[15] + Gx1[53]*Gu1[19] + Gx1[65]*Gu1[23] + Gx1[77]*Gu1[27] + Gx1[89]*Gu1[31] + Gx1[101]*Gu1[35] + Gx1[113]*Gu1[39] + Gx1[125]*Gu1[43] + Gx1[137]*Gu1[47]; -Gu2[24] = + Gx1[6]*Gu1[0] + Gx1[18]*Gu1[4] + Gx1[30]*Gu1[8] + Gx1[42]*Gu1[12] + Gx1[54]*Gu1[16] + Gx1[66]*Gu1[20] + Gx1[78]*Gu1[24] + Gx1[90]*Gu1[28] + Gx1[102]*Gu1[32] + Gx1[114]*Gu1[36] + Gx1[126]*Gu1[40] + Gx1[138]*Gu1[44]; -Gu2[25] = + Gx1[6]*Gu1[1] + Gx1[18]*Gu1[5] + Gx1[30]*Gu1[9] + Gx1[42]*Gu1[13] + Gx1[54]*Gu1[17] + Gx1[66]*Gu1[21] + Gx1[78]*Gu1[25] + Gx1[90]*Gu1[29] + Gx1[102]*Gu1[33] + Gx1[114]*Gu1[37] + Gx1[126]*Gu1[41] + Gx1[138]*Gu1[45]; -Gu2[26] = + Gx1[6]*Gu1[2] + Gx1[18]*Gu1[6] + Gx1[30]*Gu1[10] + Gx1[42]*Gu1[14] + Gx1[54]*Gu1[18] + Gx1[66]*Gu1[22] + Gx1[78]*Gu1[26] + Gx1[90]*Gu1[30] + Gx1[102]*Gu1[34] + Gx1[114]*Gu1[38] + Gx1[126]*Gu1[42] + Gx1[138]*Gu1[46]; -Gu2[27] = + Gx1[6]*Gu1[3] + Gx1[18]*Gu1[7] + Gx1[30]*Gu1[11] + Gx1[42]*Gu1[15] + Gx1[54]*Gu1[19] + Gx1[66]*Gu1[23] + Gx1[78]*Gu1[27] + Gx1[90]*Gu1[31] + Gx1[102]*Gu1[35] + Gx1[114]*Gu1[39] + Gx1[126]*Gu1[43] + Gx1[138]*Gu1[47]; -Gu2[28] = + Gx1[7]*Gu1[0] + Gx1[19]*Gu1[4] + Gx1[31]*Gu1[8] + Gx1[43]*Gu1[12] + Gx1[55]*Gu1[16] + Gx1[67]*Gu1[20] + Gx1[79]*Gu1[24] + Gx1[91]*Gu1[28] + Gx1[103]*Gu1[32] + Gx1[115]*Gu1[36] + Gx1[127]*Gu1[40] + Gx1[139]*Gu1[44]; -Gu2[29] = + Gx1[7]*Gu1[1] + Gx1[19]*Gu1[5] + Gx1[31]*Gu1[9] + Gx1[43]*Gu1[13] + Gx1[55]*Gu1[17] + Gx1[67]*Gu1[21] + Gx1[79]*Gu1[25] + Gx1[91]*Gu1[29] + Gx1[103]*Gu1[33] + Gx1[115]*Gu1[37] + Gx1[127]*Gu1[41] + Gx1[139]*Gu1[45]; -Gu2[30] = + Gx1[7]*Gu1[2] + Gx1[19]*Gu1[6] + Gx1[31]*Gu1[10] + Gx1[43]*Gu1[14] + Gx1[55]*Gu1[18] + Gx1[67]*Gu1[22] + Gx1[79]*Gu1[26] + Gx1[91]*Gu1[30] + Gx1[103]*Gu1[34] + Gx1[115]*Gu1[38] + Gx1[127]*Gu1[42] + Gx1[139]*Gu1[46]; -Gu2[31] = + Gx1[7]*Gu1[3] + Gx1[19]*Gu1[7] + Gx1[31]*Gu1[11] + Gx1[43]*Gu1[15] + Gx1[55]*Gu1[19] + Gx1[67]*Gu1[23] + Gx1[79]*Gu1[27] + Gx1[91]*Gu1[31] + Gx1[103]*Gu1[35] + Gx1[115]*Gu1[39] + Gx1[127]*Gu1[43] + Gx1[139]*Gu1[47]; -Gu2[32] = + Gx1[8]*Gu1[0] + Gx1[20]*Gu1[4] + Gx1[32]*Gu1[8] + Gx1[44]*Gu1[12] + Gx1[56]*Gu1[16] + Gx1[68]*Gu1[20] + Gx1[80]*Gu1[24] + Gx1[92]*Gu1[28] + Gx1[104]*Gu1[32] + Gx1[116]*Gu1[36] + Gx1[128]*Gu1[40] + Gx1[140]*Gu1[44]; -Gu2[33] = + Gx1[8]*Gu1[1] + Gx1[20]*Gu1[5] + Gx1[32]*Gu1[9] + Gx1[44]*Gu1[13] + Gx1[56]*Gu1[17] + Gx1[68]*Gu1[21] + Gx1[80]*Gu1[25] + Gx1[92]*Gu1[29] + Gx1[104]*Gu1[33] + Gx1[116]*Gu1[37] + Gx1[128]*Gu1[41] + Gx1[140]*Gu1[45]; -Gu2[34] = + Gx1[8]*Gu1[2] + Gx1[20]*Gu1[6] + Gx1[32]*Gu1[10] + Gx1[44]*Gu1[14] + Gx1[56]*Gu1[18] + Gx1[68]*Gu1[22] + Gx1[80]*Gu1[26] + Gx1[92]*Gu1[30] + Gx1[104]*Gu1[34] + Gx1[116]*Gu1[38] + Gx1[128]*Gu1[42] + Gx1[140]*Gu1[46]; -Gu2[35] = + Gx1[8]*Gu1[3] + Gx1[20]*Gu1[7] + Gx1[32]*Gu1[11] + Gx1[44]*Gu1[15] + Gx1[56]*Gu1[19] + Gx1[68]*Gu1[23] + Gx1[80]*Gu1[27] + Gx1[92]*Gu1[31] + Gx1[104]*Gu1[35] + Gx1[116]*Gu1[39] + Gx1[128]*Gu1[43] + Gx1[140]*Gu1[47]; -Gu2[36] = + Gx1[9]*Gu1[0] + Gx1[21]*Gu1[4] + Gx1[33]*Gu1[8] + Gx1[45]*Gu1[12] + Gx1[57]*Gu1[16] + Gx1[69]*Gu1[20] + Gx1[81]*Gu1[24] + Gx1[93]*Gu1[28] + Gx1[105]*Gu1[32] + Gx1[117]*Gu1[36] + Gx1[129]*Gu1[40] + Gx1[141]*Gu1[44]; -Gu2[37] = + Gx1[9]*Gu1[1] + Gx1[21]*Gu1[5] + Gx1[33]*Gu1[9] + Gx1[45]*Gu1[13] + Gx1[57]*Gu1[17] + Gx1[69]*Gu1[21] + Gx1[81]*Gu1[25] + Gx1[93]*Gu1[29] + Gx1[105]*Gu1[33] + Gx1[117]*Gu1[37] + Gx1[129]*Gu1[41] + Gx1[141]*Gu1[45]; -Gu2[38] = + Gx1[9]*Gu1[2] + Gx1[21]*Gu1[6] + Gx1[33]*Gu1[10] + Gx1[45]*Gu1[14] + Gx1[57]*Gu1[18] + Gx1[69]*Gu1[22] + Gx1[81]*Gu1[26] + Gx1[93]*Gu1[30] + Gx1[105]*Gu1[34] + Gx1[117]*Gu1[38] + Gx1[129]*Gu1[42] + Gx1[141]*Gu1[46]; -Gu2[39] = + Gx1[9]*Gu1[3] + Gx1[21]*Gu1[7] + Gx1[33]*Gu1[11] + Gx1[45]*Gu1[15] + Gx1[57]*Gu1[19] + Gx1[69]*Gu1[23] + Gx1[81]*Gu1[27] + Gx1[93]*Gu1[31] + Gx1[105]*Gu1[35] + Gx1[117]*Gu1[39] + Gx1[129]*Gu1[43] + Gx1[141]*Gu1[47]; -Gu2[40] = + Gx1[10]*Gu1[0] + Gx1[22]*Gu1[4] + Gx1[34]*Gu1[8] + Gx1[46]*Gu1[12] + Gx1[58]*Gu1[16] + Gx1[70]*Gu1[20] + Gx1[82]*Gu1[24] + Gx1[94]*Gu1[28] + Gx1[106]*Gu1[32] + Gx1[118]*Gu1[36] + Gx1[130]*Gu1[40] + Gx1[142]*Gu1[44]; -Gu2[41] = + Gx1[10]*Gu1[1] + Gx1[22]*Gu1[5] + Gx1[34]*Gu1[9] + Gx1[46]*Gu1[13] + Gx1[58]*Gu1[17] + Gx1[70]*Gu1[21] + Gx1[82]*Gu1[25] + Gx1[94]*Gu1[29] + Gx1[106]*Gu1[33] + Gx1[118]*Gu1[37] + Gx1[130]*Gu1[41] + Gx1[142]*Gu1[45]; -Gu2[42] = + Gx1[10]*Gu1[2] + Gx1[22]*Gu1[6] + Gx1[34]*Gu1[10] + Gx1[46]*Gu1[14] + Gx1[58]*Gu1[18] + Gx1[70]*Gu1[22] + Gx1[82]*Gu1[26] + Gx1[94]*Gu1[30] + Gx1[106]*Gu1[34] + Gx1[118]*Gu1[38] + Gx1[130]*Gu1[42] + Gx1[142]*Gu1[46]; -Gu2[43] = + Gx1[10]*Gu1[3] + Gx1[22]*Gu1[7] + Gx1[34]*Gu1[11] + Gx1[46]*Gu1[15] + Gx1[58]*Gu1[19] + Gx1[70]*Gu1[23] + Gx1[82]*Gu1[27] + Gx1[94]*Gu1[31] + Gx1[106]*Gu1[35] + Gx1[118]*Gu1[39] + Gx1[130]*Gu1[43] + Gx1[142]*Gu1[47]; -Gu2[44] = + Gx1[11]*Gu1[0] + Gx1[23]*Gu1[4] + Gx1[35]*Gu1[8] + Gx1[47]*Gu1[12] + Gx1[59]*Gu1[16] + Gx1[71]*Gu1[20] + Gx1[83]*Gu1[24] + Gx1[95]*Gu1[28] + Gx1[107]*Gu1[32] + Gx1[119]*Gu1[36] + Gx1[131]*Gu1[40] + Gx1[143]*Gu1[44]; -Gu2[45] = + Gx1[11]*Gu1[1] + Gx1[23]*Gu1[5] + Gx1[35]*Gu1[9] + Gx1[47]*Gu1[13] + Gx1[59]*Gu1[17] + Gx1[71]*Gu1[21] + Gx1[83]*Gu1[25] + Gx1[95]*Gu1[29] + Gx1[107]*Gu1[33] + Gx1[119]*Gu1[37] + Gx1[131]*Gu1[41] + Gx1[143]*Gu1[45]; -Gu2[46] = + Gx1[11]*Gu1[2] + Gx1[23]*Gu1[6] + Gx1[35]*Gu1[10] + Gx1[47]*Gu1[14] + Gx1[59]*Gu1[18] + Gx1[71]*Gu1[22] + Gx1[83]*Gu1[26] + Gx1[95]*Gu1[30] + Gx1[107]*Gu1[34] + Gx1[119]*Gu1[38] + Gx1[131]*Gu1[42] + Gx1[143]*Gu1[46]; -Gu2[47] = + Gx1[11]*Gu1[3] + Gx1[23]*Gu1[7] + Gx1[35]*Gu1[11] + Gx1[47]*Gu1[15] + Gx1[59]*Gu1[19] + Gx1[71]*Gu1[23] + Gx1[83]*Gu1[27] + Gx1[95]*Gu1[31] + Gx1[107]*Gu1[35] + Gx1[119]*Gu1[39] + Gx1[131]*Gu1[43] + Gx1[143]*Gu1[47]; +Gu2[0] = + Gx1[0]*Gu1[0] + Gx1[12]*Gu1[6] + Gx1[24]*Gu1[12] + Gx1[36]*Gu1[18] + Gx1[48]*Gu1[24] + Gx1[60]*Gu1[30] + Gx1[72]*Gu1[36] + Gx1[84]*Gu1[42] + Gx1[96]*Gu1[48] + Gx1[108]*Gu1[54] + Gx1[120]*Gu1[60] + Gx1[132]*Gu1[66]; +Gu2[1] = + Gx1[0]*Gu1[1] + Gx1[12]*Gu1[7] + Gx1[24]*Gu1[13] + Gx1[36]*Gu1[19] + Gx1[48]*Gu1[25] + Gx1[60]*Gu1[31] + Gx1[72]*Gu1[37] + Gx1[84]*Gu1[43] + Gx1[96]*Gu1[49] + Gx1[108]*Gu1[55] + Gx1[120]*Gu1[61] + Gx1[132]*Gu1[67]; +Gu2[2] = + Gx1[0]*Gu1[2] + Gx1[12]*Gu1[8] + Gx1[24]*Gu1[14] + Gx1[36]*Gu1[20] + Gx1[48]*Gu1[26] + Gx1[60]*Gu1[32] + Gx1[72]*Gu1[38] + Gx1[84]*Gu1[44] + Gx1[96]*Gu1[50] + Gx1[108]*Gu1[56] + Gx1[120]*Gu1[62] + Gx1[132]*Gu1[68]; +Gu2[3] = + Gx1[0]*Gu1[3] + Gx1[12]*Gu1[9] + Gx1[24]*Gu1[15] + Gx1[36]*Gu1[21] + Gx1[48]*Gu1[27] + Gx1[60]*Gu1[33] + Gx1[72]*Gu1[39] + Gx1[84]*Gu1[45] + Gx1[96]*Gu1[51] + Gx1[108]*Gu1[57] + Gx1[120]*Gu1[63] + Gx1[132]*Gu1[69]; +Gu2[4] = + Gx1[0]*Gu1[4] + Gx1[12]*Gu1[10] + Gx1[24]*Gu1[16] + Gx1[36]*Gu1[22] + Gx1[48]*Gu1[28] + Gx1[60]*Gu1[34] + Gx1[72]*Gu1[40] + Gx1[84]*Gu1[46] + Gx1[96]*Gu1[52] + Gx1[108]*Gu1[58] + Gx1[120]*Gu1[64] + Gx1[132]*Gu1[70]; +Gu2[5] = + Gx1[0]*Gu1[5] + Gx1[12]*Gu1[11] + Gx1[24]*Gu1[17] + Gx1[36]*Gu1[23] + Gx1[48]*Gu1[29] + Gx1[60]*Gu1[35] + Gx1[72]*Gu1[41] + Gx1[84]*Gu1[47] + Gx1[96]*Gu1[53] + Gx1[108]*Gu1[59] + Gx1[120]*Gu1[65] + Gx1[132]*Gu1[71]; +Gu2[6] = + Gx1[1]*Gu1[0] + Gx1[13]*Gu1[6] + Gx1[25]*Gu1[12] + Gx1[37]*Gu1[18] + Gx1[49]*Gu1[24] + Gx1[61]*Gu1[30] + Gx1[73]*Gu1[36] + Gx1[85]*Gu1[42] + Gx1[97]*Gu1[48] + Gx1[109]*Gu1[54] + Gx1[121]*Gu1[60] + Gx1[133]*Gu1[66]; +Gu2[7] = + Gx1[1]*Gu1[1] + Gx1[13]*Gu1[7] + Gx1[25]*Gu1[13] + Gx1[37]*Gu1[19] + Gx1[49]*Gu1[25] + Gx1[61]*Gu1[31] + Gx1[73]*Gu1[37] + Gx1[85]*Gu1[43] + Gx1[97]*Gu1[49] + Gx1[109]*Gu1[55] + Gx1[121]*Gu1[61] + Gx1[133]*Gu1[67]; +Gu2[8] = + Gx1[1]*Gu1[2] + Gx1[13]*Gu1[8] + Gx1[25]*Gu1[14] + Gx1[37]*Gu1[20] + Gx1[49]*Gu1[26] + Gx1[61]*Gu1[32] + Gx1[73]*Gu1[38] + Gx1[85]*Gu1[44] + Gx1[97]*Gu1[50] + Gx1[109]*Gu1[56] + Gx1[121]*Gu1[62] + Gx1[133]*Gu1[68]; +Gu2[9] = + Gx1[1]*Gu1[3] + Gx1[13]*Gu1[9] + Gx1[25]*Gu1[15] + Gx1[37]*Gu1[21] + Gx1[49]*Gu1[27] + Gx1[61]*Gu1[33] + Gx1[73]*Gu1[39] + Gx1[85]*Gu1[45] + Gx1[97]*Gu1[51] + Gx1[109]*Gu1[57] + Gx1[121]*Gu1[63] + Gx1[133]*Gu1[69]; +Gu2[10] = + Gx1[1]*Gu1[4] + Gx1[13]*Gu1[10] + Gx1[25]*Gu1[16] + Gx1[37]*Gu1[22] + Gx1[49]*Gu1[28] + Gx1[61]*Gu1[34] + Gx1[73]*Gu1[40] + Gx1[85]*Gu1[46] + Gx1[97]*Gu1[52] + Gx1[109]*Gu1[58] + Gx1[121]*Gu1[64] + Gx1[133]*Gu1[70]; +Gu2[11] = + Gx1[1]*Gu1[5] + Gx1[13]*Gu1[11] + Gx1[25]*Gu1[17] + Gx1[37]*Gu1[23] + Gx1[49]*Gu1[29] + Gx1[61]*Gu1[35] + Gx1[73]*Gu1[41] + Gx1[85]*Gu1[47] + Gx1[97]*Gu1[53] + Gx1[109]*Gu1[59] + Gx1[121]*Gu1[65] + Gx1[133]*Gu1[71]; +Gu2[12] = + Gx1[2]*Gu1[0] + Gx1[14]*Gu1[6] + Gx1[26]*Gu1[12] + Gx1[38]*Gu1[18] + Gx1[50]*Gu1[24] + Gx1[62]*Gu1[30] + Gx1[74]*Gu1[36] + Gx1[86]*Gu1[42] + Gx1[98]*Gu1[48] + Gx1[110]*Gu1[54] + Gx1[122]*Gu1[60] + Gx1[134]*Gu1[66]; +Gu2[13] = + Gx1[2]*Gu1[1] + Gx1[14]*Gu1[7] + Gx1[26]*Gu1[13] + Gx1[38]*Gu1[19] + Gx1[50]*Gu1[25] + Gx1[62]*Gu1[31] + Gx1[74]*Gu1[37] + Gx1[86]*Gu1[43] + Gx1[98]*Gu1[49] + Gx1[110]*Gu1[55] + Gx1[122]*Gu1[61] + Gx1[134]*Gu1[67]; +Gu2[14] = + Gx1[2]*Gu1[2] + Gx1[14]*Gu1[8] + Gx1[26]*Gu1[14] + Gx1[38]*Gu1[20] + Gx1[50]*Gu1[26] + Gx1[62]*Gu1[32] + Gx1[74]*Gu1[38] + Gx1[86]*Gu1[44] + Gx1[98]*Gu1[50] + Gx1[110]*Gu1[56] + Gx1[122]*Gu1[62] + Gx1[134]*Gu1[68]; +Gu2[15] = + Gx1[2]*Gu1[3] + Gx1[14]*Gu1[9] + Gx1[26]*Gu1[15] + Gx1[38]*Gu1[21] + Gx1[50]*Gu1[27] + Gx1[62]*Gu1[33] + Gx1[74]*Gu1[39] + Gx1[86]*Gu1[45] + Gx1[98]*Gu1[51] + Gx1[110]*Gu1[57] + Gx1[122]*Gu1[63] + Gx1[134]*Gu1[69]; +Gu2[16] = + Gx1[2]*Gu1[4] + Gx1[14]*Gu1[10] + Gx1[26]*Gu1[16] + Gx1[38]*Gu1[22] + Gx1[50]*Gu1[28] + Gx1[62]*Gu1[34] + Gx1[74]*Gu1[40] + Gx1[86]*Gu1[46] + Gx1[98]*Gu1[52] + Gx1[110]*Gu1[58] + Gx1[122]*Gu1[64] + Gx1[134]*Gu1[70]; +Gu2[17] = + Gx1[2]*Gu1[5] + Gx1[14]*Gu1[11] + Gx1[26]*Gu1[17] + Gx1[38]*Gu1[23] + Gx1[50]*Gu1[29] + Gx1[62]*Gu1[35] + Gx1[74]*Gu1[41] + Gx1[86]*Gu1[47] + Gx1[98]*Gu1[53] + Gx1[110]*Gu1[59] + Gx1[122]*Gu1[65] + Gx1[134]*Gu1[71]; +Gu2[18] = + Gx1[3]*Gu1[0] + Gx1[15]*Gu1[6] + Gx1[27]*Gu1[12] + Gx1[39]*Gu1[18] + Gx1[51]*Gu1[24] + Gx1[63]*Gu1[30] + Gx1[75]*Gu1[36] + Gx1[87]*Gu1[42] + Gx1[99]*Gu1[48] + Gx1[111]*Gu1[54] + Gx1[123]*Gu1[60] + Gx1[135]*Gu1[66]; +Gu2[19] = + Gx1[3]*Gu1[1] + Gx1[15]*Gu1[7] + Gx1[27]*Gu1[13] + Gx1[39]*Gu1[19] + Gx1[51]*Gu1[25] + Gx1[63]*Gu1[31] + Gx1[75]*Gu1[37] + Gx1[87]*Gu1[43] + Gx1[99]*Gu1[49] + Gx1[111]*Gu1[55] + Gx1[123]*Gu1[61] + Gx1[135]*Gu1[67]; +Gu2[20] = + Gx1[3]*Gu1[2] + Gx1[15]*Gu1[8] + Gx1[27]*Gu1[14] + Gx1[39]*Gu1[20] + Gx1[51]*Gu1[26] + Gx1[63]*Gu1[32] + Gx1[75]*Gu1[38] + Gx1[87]*Gu1[44] + Gx1[99]*Gu1[50] + Gx1[111]*Gu1[56] + Gx1[123]*Gu1[62] + Gx1[135]*Gu1[68]; +Gu2[21] = + Gx1[3]*Gu1[3] + Gx1[15]*Gu1[9] + Gx1[27]*Gu1[15] + Gx1[39]*Gu1[21] + Gx1[51]*Gu1[27] + Gx1[63]*Gu1[33] + Gx1[75]*Gu1[39] + Gx1[87]*Gu1[45] + Gx1[99]*Gu1[51] + Gx1[111]*Gu1[57] + Gx1[123]*Gu1[63] + Gx1[135]*Gu1[69]; +Gu2[22] = + Gx1[3]*Gu1[4] + Gx1[15]*Gu1[10] + Gx1[27]*Gu1[16] + Gx1[39]*Gu1[22] + Gx1[51]*Gu1[28] + Gx1[63]*Gu1[34] + Gx1[75]*Gu1[40] + Gx1[87]*Gu1[46] + Gx1[99]*Gu1[52] + Gx1[111]*Gu1[58] + Gx1[123]*Gu1[64] + Gx1[135]*Gu1[70]; +Gu2[23] = + Gx1[3]*Gu1[5] + Gx1[15]*Gu1[11] + Gx1[27]*Gu1[17] + Gx1[39]*Gu1[23] + Gx1[51]*Gu1[29] + Gx1[63]*Gu1[35] + Gx1[75]*Gu1[41] + Gx1[87]*Gu1[47] + Gx1[99]*Gu1[53] + Gx1[111]*Gu1[59] + Gx1[123]*Gu1[65] + Gx1[135]*Gu1[71]; +Gu2[24] = + Gx1[4]*Gu1[0] + Gx1[16]*Gu1[6] + Gx1[28]*Gu1[12] + Gx1[40]*Gu1[18] + Gx1[52]*Gu1[24] + Gx1[64]*Gu1[30] + Gx1[76]*Gu1[36] + Gx1[88]*Gu1[42] + Gx1[100]*Gu1[48] + Gx1[112]*Gu1[54] + Gx1[124]*Gu1[60] + Gx1[136]*Gu1[66]; +Gu2[25] = + Gx1[4]*Gu1[1] + Gx1[16]*Gu1[7] + Gx1[28]*Gu1[13] + Gx1[40]*Gu1[19] + Gx1[52]*Gu1[25] + Gx1[64]*Gu1[31] + Gx1[76]*Gu1[37] + Gx1[88]*Gu1[43] + Gx1[100]*Gu1[49] + Gx1[112]*Gu1[55] + Gx1[124]*Gu1[61] + Gx1[136]*Gu1[67]; +Gu2[26] = + Gx1[4]*Gu1[2] + Gx1[16]*Gu1[8] + Gx1[28]*Gu1[14] + Gx1[40]*Gu1[20] + Gx1[52]*Gu1[26] + Gx1[64]*Gu1[32] + Gx1[76]*Gu1[38] + Gx1[88]*Gu1[44] + Gx1[100]*Gu1[50] + Gx1[112]*Gu1[56] + Gx1[124]*Gu1[62] + Gx1[136]*Gu1[68]; +Gu2[27] = + Gx1[4]*Gu1[3] + Gx1[16]*Gu1[9] + Gx1[28]*Gu1[15] + Gx1[40]*Gu1[21] + Gx1[52]*Gu1[27] + Gx1[64]*Gu1[33] + Gx1[76]*Gu1[39] + Gx1[88]*Gu1[45] + Gx1[100]*Gu1[51] + Gx1[112]*Gu1[57] + Gx1[124]*Gu1[63] + Gx1[136]*Gu1[69]; +Gu2[28] = + Gx1[4]*Gu1[4] + Gx1[16]*Gu1[10] + Gx1[28]*Gu1[16] + Gx1[40]*Gu1[22] + Gx1[52]*Gu1[28] + Gx1[64]*Gu1[34] + Gx1[76]*Gu1[40] + Gx1[88]*Gu1[46] + Gx1[100]*Gu1[52] + Gx1[112]*Gu1[58] + Gx1[124]*Gu1[64] + Gx1[136]*Gu1[70]; +Gu2[29] = + Gx1[4]*Gu1[5] + Gx1[16]*Gu1[11] + Gx1[28]*Gu1[17] + Gx1[40]*Gu1[23] + Gx1[52]*Gu1[29] + Gx1[64]*Gu1[35] + Gx1[76]*Gu1[41] + Gx1[88]*Gu1[47] + Gx1[100]*Gu1[53] + Gx1[112]*Gu1[59] + Gx1[124]*Gu1[65] + Gx1[136]*Gu1[71]; +Gu2[30] = + Gx1[5]*Gu1[0] + Gx1[17]*Gu1[6] + Gx1[29]*Gu1[12] + Gx1[41]*Gu1[18] + Gx1[53]*Gu1[24] + Gx1[65]*Gu1[30] + Gx1[77]*Gu1[36] + Gx1[89]*Gu1[42] + Gx1[101]*Gu1[48] + Gx1[113]*Gu1[54] + Gx1[125]*Gu1[60] + Gx1[137]*Gu1[66]; +Gu2[31] = + Gx1[5]*Gu1[1] + Gx1[17]*Gu1[7] + Gx1[29]*Gu1[13] + Gx1[41]*Gu1[19] + Gx1[53]*Gu1[25] + Gx1[65]*Gu1[31] + Gx1[77]*Gu1[37] + Gx1[89]*Gu1[43] + Gx1[101]*Gu1[49] + Gx1[113]*Gu1[55] + Gx1[125]*Gu1[61] + Gx1[137]*Gu1[67]; +Gu2[32] = + Gx1[5]*Gu1[2] + Gx1[17]*Gu1[8] + Gx1[29]*Gu1[14] + Gx1[41]*Gu1[20] + Gx1[53]*Gu1[26] + Gx1[65]*Gu1[32] + Gx1[77]*Gu1[38] + Gx1[89]*Gu1[44] + Gx1[101]*Gu1[50] + Gx1[113]*Gu1[56] + Gx1[125]*Gu1[62] + Gx1[137]*Gu1[68]; +Gu2[33] = + Gx1[5]*Gu1[3] + Gx1[17]*Gu1[9] + Gx1[29]*Gu1[15] + Gx1[41]*Gu1[21] + Gx1[53]*Gu1[27] + Gx1[65]*Gu1[33] + Gx1[77]*Gu1[39] + Gx1[89]*Gu1[45] + Gx1[101]*Gu1[51] + Gx1[113]*Gu1[57] + Gx1[125]*Gu1[63] + Gx1[137]*Gu1[69]; +Gu2[34] = + Gx1[5]*Gu1[4] + Gx1[17]*Gu1[10] + Gx1[29]*Gu1[16] + Gx1[41]*Gu1[22] + Gx1[53]*Gu1[28] + Gx1[65]*Gu1[34] + Gx1[77]*Gu1[40] + Gx1[89]*Gu1[46] + Gx1[101]*Gu1[52] + Gx1[113]*Gu1[58] + Gx1[125]*Gu1[64] + Gx1[137]*Gu1[70]; +Gu2[35] = + Gx1[5]*Gu1[5] + Gx1[17]*Gu1[11] + Gx1[29]*Gu1[17] + Gx1[41]*Gu1[23] + Gx1[53]*Gu1[29] + Gx1[65]*Gu1[35] + Gx1[77]*Gu1[41] + Gx1[89]*Gu1[47] + Gx1[101]*Gu1[53] + Gx1[113]*Gu1[59] + Gx1[125]*Gu1[65] + Gx1[137]*Gu1[71]; +Gu2[36] = + Gx1[6]*Gu1[0] + Gx1[18]*Gu1[6] + Gx1[30]*Gu1[12] + Gx1[42]*Gu1[18] + Gx1[54]*Gu1[24] + Gx1[66]*Gu1[30] + Gx1[78]*Gu1[36] + Gx1[90]*Gu1[42] + Gx1[102]*Gu1[48] + Gx1[114]*Gu1[54] + Gx1[126]*Gu1[60] + Gx1[138]*Gu1[66]; +Gu2[37] = + Gx1[6]*Gu1[1] + Gx1[18]*Gu1[7] + Gx1[30]*Gu1[13] + Gx1[42]*Gu1[19] + Gx1[54]*Gu1[25] + Gx1[66]*Gu1[31] + Gx1[78]*Gu1[37] + Gx1[90]*Gu1[43] + Gx1[102]*Gu1[49] + Gx1[114]*Gu1[55] + Gx1[126]*Gu1[61] + Gx1[138]*Gu1[67]; +Gu2[38] = + Gx1[6]*Gu1[2] + Gx1[18]*Gu1[8] + Gx1[30]*Gu1[14] + Gx1[42]*Gu1[20] + Gx1[54]*Gu1[26] + Gx1[66]*Gu1[32] + Gx1[78]*Gu1[38] + Gx1[90]*Gu1[44] + Gx1[102]*Gu1[50] + Gx1[114]*Gu1[56] + Gx1[126]*Gu1[62] + Gx1[138]*Gu1[68]; +Gu2[39] = + Gx1[6]*Gu1[3] + Gx1[18]*Gu1[9] + Gx1[30]*Gu1[15] + Gx1[42]*Gu1[21] + Gx1[54]*Gu1[27] + Gx1[66]*Gu1[33] + Gx1[78]*Gu1[39] + Gx1[90]*Gu1[45] + Gx1[102]*Gu1[51] + Gx1[114]*Gu1[57] + Gx1[126]*Gu1[63] + Gx1[138]*Gu1[69]; +Gu2[40] = + Gx1[6]*Gu1[4] + Gx1[18]*Gu1[10] + Gx1[30]*Gu1[16] + Gx1[42]*Gu1[22] + Gx1[54]*Gu1[28] + Gx1[66]*Gu1[34] + Gx1[78]*Gu1[40] + Gx1[90]*Gu1[46] + Gx1[102]*Gu1[52] + Gx1[114]*Gu1[58] + Gx1[126]*Gu1[64] + Gx1[138]*Gu1[70]; +Gu2[41] = + Gx1[6]*Gu1[5] + Gx1[18]*Gu1[11] + Gx1[30]*Gu1[17] + Gx1[42]*Gu1[23] + Gx1[54]*Gu1[29] + Gx1[66]*Gu1[35] + Gx1[78]*Gu1[41] + Gx1[90]*Gu1[47] + Gx1[102]*Gu1[53] + Gx1[114]*Gu1[59] + Gx1[126]*Gu1[65] + Gx1[138]*Gu1[71]; +Gu2[42] = + Gx1[7]*Gu1[0] + Gx1[19]*Gu1[6] + Gx1[31]*Gu1[12] + Gx1[43]*Gu1[18] + Gx1[55]*Gu1[24] + Gx1[67]*Gu1[30] + Gx1[79]*Gu1[36] + Gx1[91]*Gu1[42] + Gx1[103]*Gu1[48] + Gx1[115]*Gu1[54] + Gx1[127]*Gu1[60] + Gx1[139]*Gu1[66]; +Gu2[43] = + Gx1[7]*Gu1[1] + Gx1[19]*Gu1[7] + Gx1[31]*Gu1[13] + Gx1[43]*Gu1[19] + Gx1[55]*Gu1[25] + Gx1[67]*Gu1[31] + Gx1[79]*Gu1[37] + Gx1[91]*Gu1[43] + Gx1[103]*Gu1[49] + Gx1[115]*Gu1[55] + Gx1[127]*Gu1[61] + Gx1[139]*Gu1[67]; +Gu2[44] = + Gx1[7]*Gu1[2] + Gx1[19]*Gu1[8] + Gx1[31]*Gu1[14] + Gx1[43]*Gu1[20] + Gx1[55]*Gu1[26] + Gx1[67]*Gu1[32] + Gx1[79]*Gu1[38] + Gx1[91]*Gu1[44] + Gx1[103]*Gu1[50] + Gx1[115]*Gu1[56] + Gx1[127]*Gu1[62] + Gx1[139]*Gu1[68]; +Gu2[45] = + Gx1[7]*Gu1[3] + Gx1[19]*Gu1[9] + Gx1[31]*Gu1[15] + Gx1[43]*Gu1[21] + Gx1[55]*Gu1[27] + Gx1[67]*Gu1[33] + Gx1[79]*Gu1[39] + Gx1[91]*Gu1[45] + Gx1[103]*Gu1[51] + Gx1[115]*Gu1[57] + Gx1[127]*Gu1[63] + Gx1[139]*Gu1[69]; +Gu2[46] = + Gx1[7]*Gu1[4] + Gx1[19]*Gu1[10] + Gx1[31]*Gu1[16] + Gx1[43]*Gu1[22] + Gx1[55]*Gu1[28] + Gx1[67]*Gu1[34] + Gx1[79]*Gu1[40] + Gx1[91]*Gu1[46] + Gx1[103]*Gu1[52] + Gx1[115]*Gu1[58] + Gx1[127]*Gu1[64] + Gx1[139]*Gu1[70]; +Gu2[47] = + Gx1[7]*Gu1[5] + Gx1[19]*Gu1[11] + Gx1[31]*Gu1[17] + Gx1[43]*Gu1[23] + Gx1[55]*Gu1[29] + Gx1[67]*Gu1[35] + Gx1[79]*Gu1[41] + Gx1[91]*Gu1[47] + Gx1[103]*Gu1[53] + Gx1[115]*Gu1[59] + Gx1[127]*Gu1[65] + Gx1[139]*Gu1[71]; +Gu2[48] = + Gx1[8]*Gu1[0] + Gx1[20]*Gu1[6] + Gx1[32]*Gu1[12] + Gx1[44]*Gu1[18] + Gx1[56]*Gu1[24] + Gx1[68]*Gu1[30] + Gx1[80]*Gu1[36] + Gx1[92]*Gu1[42] + Gx1[104]*Gu1[48] + Gx1[116]*Gu1[54] + Gx1[128]*Gu1[60] + Gx1[140]*Gu1[66]; +Gu2[49] = + Gx1[8]*Gu1[1] + Gx1[20]*Gu1[7] + Gx1[32]*Gu1[13] + Gx1[44]*Gu1[19] + Gx1[56]*Gu1[25] + Gx1[68]*Gu1[31] + Gx1[80]*Gu1[37] + Gx1[92]*Gu1[43] + Gx1[104]*Gu1[49] + Gx1[116]*Gu1[55] + Gx1[128]*Gu1[61] + Gx1[140]*Gu1[67]; +Gu2[50] = + Gx1[8]*Gu1[2] + Gx1[20]*Gu1[8] + Gx1[32]*Gu1[14] + Gx1[44]*Gu1[20] + Gx1[56]*Gu1[26] + Gx1[68]*Gu1[32] + Gx1[80]*Gu1[38] + Gx1[92]*Gu1[44] + Gx1[104]*Gu1[50] + Gx1[116]*Gu1[56] + Gx1[128]*Gu1[62] + Gx1[140]*Gu1[68]; +Gu2[51] = + Gx1[8]*Gu1[3] + Gx1[20]*Gu1[9] + Gx1[32]*Gu1[15] + Gx1[44]*Gu1[21] + Gx1[56]*Gu1[27] + Gx1[68]*Gu1[33] + Gx1[80]*Gu1[39] + Gx1[92]*Gu1[45] + Gx1[104]*Gu1[51] + Gx1[116]*Gu1[57] + Gx1[128]*Gu1[63] + Gx1[140]*Gu1[69]; +Gu2[52] = + Gx1[8]*Gu1[4] + Gx1[20]*Gu1[10] + Gx1[32]*Gu1[16] + Gx1[44]*Gu1[22] + Gx1[56]*Gu1[28] + Gx1[68]*Gu1[34] + Gx1[80]*Gu1[40] + Gx1[92]*Gu1[46] + Gx1[104]*Gu1[52] + Gx1[116]*Gu1[58] + Gx1[128]*Gu1[64] + Gx1[140]*Gu1[70]; +Gu2[53] = + Gx1[8]*Gu1[5] + Gx1[20]*Gu1[11] + Gx1[32]*Gu1[17] + Gx1[44]*Gu1[23] + Gx1[56]*Gu1[29] + Gx1[68]*Gu1[35] + Gx1[80]*Gu1[41] + Gx1[92]*Gu1[47] + Gx1[104]*Gu1[53] + Gx1[116]*Gu1[59] + Gx1[128]*Gu1[65] + Gx1[140]*Gu1[71]; +Gu2[54] = + Gx1[9]*Gu1[0] + Gx1[21]*Gu1[6] + Gx1[33]*Gu1[12] + Gx1[45]*Gu1[18] + Gx1[57]*Gu1[24] + Gx1[69]*Gu1[30] + Gx1[81]*Gu1[36] + Gx1[93]*Gu1[42] + Gx1[105]*Gu1[48] + Gx1[117]*Gu1[54] + Gx1[129]*Gu1[60] + Gx1[141]*Gu1[66]; +Gu2[55] = + Gx1[9]*Gu1[1] + Gx1[21]*Gu1[7] + Gx1[33]*Gu1[13] + Gx1[45]*Gu1[19] + Gx1[57]*Gu1[25] + Gx1[69]*Gu1[31] + Gx1[81]*Gu1[37] + Gx1[93]*Gu1[43] + Gx1[105]*Gu1[49] + Gx1[117]*Gu1[55] + Gx1[129]*Gu1[61] + Gx1[141]*Gu1[67]; +Gu2[56] = + Gx1[9]*Gu1[2] + Gx1[21]*Gu1[8] + Gx1[33]*Gu1[14] + Gx1[45]*Gu1[20] + Gx1[57]*Gu1[26] + Gx1[69]*Gu1[32] + Gx1[81]*Gu1[38] + Gx1[93]*Gu1[44] + Gx1[105]*Gu1[50] + Gx1[117]*Gu1[56] + Gx1[129]*Gu1[62] + Gx1[141]*Gu1[68]; +Gu2[57] = + Gx1[9]*Gu1[3] + Gx1[21]*Gu1[9] + Gx1[33]*Gu1[15] + Gx1[45]*Gu1[21] + Gx1[57]*Gu1[27] + Gx1[69]*Gu1[33] + Gx1[81]*Gu1[39] + Gx1[93]*Gu1[45] + Gx1[105]*Gu1[51] + Gx1[117]*Gu1[57] + Gx1[129]*Gu1[63] + Gx1[141]*Gu1[69]; +Gu2[58] = + Gx1[9]*Gu1[4] + Gx1[21]*Gu1[10] + Gx1[33]*Gu1[16] + Gx1[45]*Gu1[22] + Gx1[57]*Gu1[28] + Gx1[69]*Gu1[34] + Gx1[81]*Gu1[40] + Gx1[93]*Gu1[46] + Gx1[105]*Gu1[52] + Gx1[117]*Gu1[58] + Gx1[129]*Gu1[64] + Gx1[141]*Gu1[70]; +Gu2[59] = + Gx1[9]*Gu1[5] + Gx1[21]*Gu1[11] + Gx1[33]*Gu1[17] + Gx1[45]*Gu1[23] + Gx1[57]*Gu1[29] + Gx1[69]*Gu1[35] + Gx1[81]*Gu1[41] + Gx1[93]*Gu1[47] + Gx1[105]*Gu1[53] + Gx1[117]*Gu1[59] + Gx1[129]*Gu1[65] + Gx1[141]*Gu1[71]; +Gu2[60] = + Gx1[10]*Gu1[0] + Gx1[22]*Gu1[6] + Gx1[34]*Gu1[12] + Gx1[46]*Gu1[18] + Gx1[58]*Gu1[24] + Gx1[70]*Gu1[30] + Gx1[82]*Gu1[36] + Gx1[94]*Gu1[42] + Gx1[106]*Gu1[48] + Gx1[118]*Gu1[54] + Gx1[130]*Gu1[60] + Gx1[142]*Gu1[66]; +Gu2[61] = + Gx1[10]*Gu1[1] + Gx1[22]*Gu1[7] + Gx1[34]*Gu1[13] + Gx1[46]*Gu1[19] + Gx1[58]*Gu1[25] + Gx1[70]*Gu1[31] + Gx1[82]*Gu1[37] + Gx1[94]*Gu1[43] + Gx1[106]*Gu1[49] + Gx1[118]*Gu1[55] + Gx1[130]*Gu1[61] + Gx1[142]*Gu1[67]; +Gu2[62] = + Gx1[10]*Gu1[2] + Gx1[22]*Gu1[8] + Gx1[34]*Gu1[14] + Gx1[46]*Gu1[20] + Gx1[58]*Gu1[26] + Gx1[70]*Gu1[32] + Gx1[82]*Gu1[38] + Gx1[94]*Gu1[44] + Gx1[106]*Gu1[50] + Gx1[118]*Gu1[56] + Gx1[130]*Gu1[62] + Gx1[142]*Gu1[68]; +Gu2[63] = + Gx1[10]*Gu1[3] + Gx1[22]*Gu1[9] + Gx1[34]*Gu1[15] + Gx1[46]*Gu1[21] + Gx1[58]*Gu1[27] + Gx1[70]*Gu1[33] + Gx1[82]*Gu1[39] + Gx1[94]*Gu1[45] + Gx1[106]*Gu1[51] + Gx1[118]*Gu1[57] + Gx1[130]*Gu1[63] + Gx1[142]*Gu1[69]; +Gu2[64] = + Gx1[10]*Gu1[4] + Gx1[22]*Gu1[10] + Gx1[34]*Gu1[16] + Gx1[46]*Gu1[22] + Gx1[58]*Gu1[28] + Gx1[70]*Gu1[34] + Gx1[82]*Gu1[40] + Gx1[94]*Gu1[46] + Gx1[106]*Gu1[52] + Gx1[118]*Gu1[58] + Gx1[130]*Gu1[64] + Gx1[142]*Gu1[70]; +Gu2[65] = + Gx1[10]*Gu1[5] + Gx1[22]*Gu1[11] + Gx1[34]*Gu1[17] + Gx1[46]*Gu1[23] + Gx1[58]*Gu1[29] + Gx1[70]*Gu1[35] + Gx1[82]*Gu1[41] + Gx1[94]*Gu1[47] + Gx1[106]*Gu1[53] + Gx1[118]*Gu1[59] + Gx1[130]*Gu1[65] + Gx1[142]*Gu1[71]; +Gu2[66] = + Gx1[11]*Gu1[0] + Gx1[23]*Gu1[6] + Gx1[35]*Gu1[12] + Gx1[47]*Gu1[18] + Gx1[59]*Gu1[24] + Gx1[71]*Gu1[30] + Gx1[83]*Gu1[36] + Gx1[95]*Gu1[42] + Gx1[107]*Gu1[48] + Gx1[119]*Gu1[54] + Gx1[131]*Gu1[60] + Gx1[143]*Gu1[66]; +Gu2[67] = + Gx1[11]*Gu1[1] + Gx1[23]*Gu1[7] + Gx1[35]*Gu1[13] + Gx1[47]*Gu1[19] + Gx1[59]*Gu1[25] + Gx1[71]*Gu1[31] + Gx1[83]*Gu1[37] + Gx1[95]*Gu1[43] + Gx1[107]*Gu1[49] + Gx1[119]*Gu1[55] + Gx1[131]*Gu1[61] + Gx1[143]*Gu1[67]; +Gu2[68] = + Gx1[11]*Gu1[2] + Gx1[23]*Gu1[8] + Gx1[35]*Gu1[14] + Gx1[47]*Gu1[20] + Gx1[59]*Gu1[26] + Gx1[71]*Gu1[32] + Gx1[83]*Gu1[38] + Gx1[95]*Gu1[44] + Gx1[107]*Gu1[50] + Gx1[119]*Gu1[56] + Gx1[131]*Gu1[62] + Gx1[143]*Gu1[68]; +Gu2[69] = + Gx1[11]*Gu1[3] + Gx1[23]*Gu1[9] + Gx1[35]*Gu1[15] + Gx1[47]*Gu1[21] + Gx1[59]*Gu1[27] + Gx1[71]*Gu1[33] + Gx1[83]*Gu1[39] + Gx1[95]*Gu1[45] + Gx1[107]*Gu1[51] + Gx1[119]*Gu1[57] + Gx1[131]*Gu1[63] + Gx1[143]*Gu1[69]; +Gu2[70] = + Gx1[11]*Gu1[4] + Gx1[23]*Gu1[10] + Gx1[35]*Gu1[16] + Gx1[47]*Gu1[22] + Gx1[59]*Gu1[28] + Gx1[71]*Gu1[34] + Gx1[83]*Gu1[40] + Gx1[95]*Gu1[46] + Gx1[107]*Gu1[52] + Gx1[119]*Gu1[58] + Gx1[131]*Gu1[64] + Gx1[143]*Gu1[70]; +Gu2[71] = + Gx1[11]*Gu1[5] + Gx1[23]*Gu1[11] + Gx1[35]*Gu1[17] + Gx1[47]*Gu1[23] + Gx1[59]*Gu1[29] + Gx1[71]*Gu1[35] + Gx1[83]*Gu1[41] + Gx1[95]*Gu1[47] + Gx1[107]*Gu1[53] + Gx1[119]*Gu1[59] + Gx1[131]*Gu1[65] + Gx1[143]*Gu1[71]; } void acado_multQEW2( real_t* const Q11, real_t* const Gu1, real_t* const Gu2, real_t* const Gu3 ) { -Gu3[0] = + Q11[0]*Gu1[0] + Q11[1]*Gu1[4] + Q11[2]*Gu1[8] + Q11[3]*Gu1[12] + Q11[4]*Gu1[16] + Q11[5]*Gu1[20] + Q11[6]*Gu1[24] + Q11[7]*Gu1[28] + Q11[8]*Gu1[32] + Q11[9]*Gu1[36] + Q11[10]*Gu1[40] + Q11[11]*Gu1[44] + Gu2[0]; -Gu3[1] = + Q11[0]*Gu1[1] + Q11[1]*Gu1[5] + Q11[2]*Gu1[9] + Q11[3]*Gu1[13] + Q11[4]*Gu1[17] + Q11[5]*Gu1[21] + Q11[6]*Gu1[25] + Q11[7]*Gu1[29] + Q11[8]*Gu1[33] + Q11[9]*Gu1[37] + Q11[10]*Gu1[41] + Q11[11]*Gu1[45] + Gu2[1]; -Gu3[2] = + Q11[0]*Gu1[2] + Q11[1]*Gu1[6] + Q11[2]*Gu1[10] + Q11[3]*Gu1[14] + Q11[4]*Gu1[18] + Q11[5]*Gu1[22] + Q11[6]*Gu1[26] + Q11[7]*Gu1[30] + Q11[8]*Gu1[34] + Q11[9]*Gu1[38] + Q11[10]*Gu1[42] + Q11[11]*Gu1[46] + Gu2[2]; -Gu3[3] = + Q11[0]*Gu1[3] + Q11[1]*Gu1[7] + Q11[2]*Gu1[11] + Q11[3]*Gu1[15] + Q11[4]*Gu1[19] + Q11[5]*Gu1[23] + Q11[6]*Gu1[27] + Q11[7]*Gu1[31] + Q11[8]*Gu1[35] + Q11[9]*Gu1[39] + Q11[10]*Gu1[43] + Q11[11]*Gu1[47] + Gu2[3]; -Gu3[4] = + Q11[12]*Gu1[0] + Q11[13]*Gu1[4] + Q11[14]*Gu1[8] + Q11[15]*Gu1[12] + Q11[16]*Gu1[16] + Q11[17]*Gu1[20] + Q11[18]*Gu1[24] + Q11[19]*Gu1[28] + Q11[20]*Gu1[32] + Q11[21]*Gu1[36] + Q11[22]*Gu1[40] + Q11[23]*Gu1[44] + Gu2[4]; -Gu3[5] = + Q11[12]*Gu1[1] + Q11[13]*Gu1[5] + Q11[14]*Gu1[9] + Q11[15]*Gu1[13] + Q11[16]*Gu1[17] + Q11[17]*Gu1[21] + Q11[18]*Gu1[25] + Q11[19]*Gu1[29] + Q11[20]*Gu1[33] + Q11[21]*Gu1[37] + Q11[22]*Gu1[41] + Q11[23]*Gu1[45] + Gu2[5]; -Gu3[6] = + Q11[12]*Gu1[2] + Q11[13]*Gu1[6] + Q11[14]*Gu1[10] + Q11[15]*Gu1[14] + Q11[16]*Gu1[18] + Q11[17]*Gu1[22] + Q11[18]*Gu1[26] + Q11[19]*Gu1[30] + Q11[20]*Gu1[34] + Q11[21]*Gu1[38] + Q11[22]*Gu1[42] + Q11[23]*Gu1[46] + Gu2[6]; -Gu3[7] = + Q11[12]*Gu1[3] + Q11[13]*Gu1[7] + Q11[14]*Gu1[11] + Q11[15]*Gu1[15] + Q11[16]*Gu1[19] + Q11[17]*Gu1[23] + Q11[18]*Gu1[27] + Q11[19]*Gu1[31] + Q11[20]*Gu1[35] + Q11[21]*Gu1[39] + Q11[22]*Gu1[43] + Q11[23]*Gu1[47] + Gu2[7]; -Gu3[8] = + Q11[24]*Gu1[0] + Q11[25]*Gu1[4] + Q11[26]*Gu1[8] + Q11[27]*Gu1[12] + Q11[28]*Gu1[16] + Q11[29]*Gu1[20] + Q11[30]*Gu1[24] + Q11[31]*Gu1[28] + Q11[32]*Gu1[32] + Q11[33]*Gu1[36] + Q11[34]*Gu1[40] + Q11[35]*Gu1[44] + Gu2[8]; -Gu3[9] = + Q11[24]*Gu1[1] + Q11[25]*Gu1[5] + Q11[26]*Gu1[9] + Q11[27]*Gu1[13] + Q11[28]*Gu1[17] + Q11[29]*Gu1[21] + Q11[30]*Gu1[25] + Q11[31]*Gu1[29] + Q11[32]*Gu1[33] + Q11[33]*Gu1[37] + Q11[34]*Gu1[41] + Q11[35]*Gu1[45] + Gu2[9]; -Gu3[10] = + Q11[24]*Gu1[2] + Q11[25]*Gu1[6] + Q11[26]*Gu1[10] + Q11[27]*Gu1[14] + Q11[28]*Gu1[18] + Q11[29]*Gu1[22] + Q11[30]*Gu1[26] + Q11[31]*Gu1[30] + Q11[32]*Gu1[34] + Q11[33]*Gu1[38] + Q11[34]*Gu1[42] + Q11[35]*Gu1[46] + Gu2[10]; -Gu3[11] = + Q11[24]*Gu1[3] + Q11[25]*Gu1[7] + Q11[26]*Gu1[11] + Q11[27]*Gu1[15] + Q11[28]*Gu1[19] + Q11[29]*Gu1[23] + Q11[30]*Gu1[27] + Q11[31]*Gu1[31] + Q11[32]*Gu1[35] + Q11[33]*Gu1[39] + Q11[34]*Gu1[43] + Q11[35]*Gu1[47] + Gu2[11]; -Gu3[12] = + Q11[36]*Gu1[0] + Q11[37]*Gu1[4] + Q11[38]*Gu1[8] + Q11[39]*Gu1[12] + Q11[40]*Gu1[16] + Q11[41]*Gu1[20] + Q11[42]*Gu1[24] + Q11[43]*Gu1[28] + Q11[44]*Gu1[32] + Q11[45]*Gu1[36] + Q11[46]*Gu1[40] + Q11[47]*Gu1[44] + Gu2[12]; -Gu3[13] = + Q11[36]*Gu1[1] + Q11[37]*Gu1[5] + Q11[38]*Gu1[9] + Q11[39]*Gu1[13] + Q11[40]*Gu1[17] + Q11[41]*Gu1[21] + Q11[42]*Gu1[25] + Q11[43]*Gu1[29] + Q11[44]*Gu1[33] + Q11[45]*Gu1[37] + Q11[46]*Gu1[41] + Q11[47]*Gu1[45] + Gu2[13]; -Gu3[14] = + Q11[36]*Gu1[2] + Q11[37]*Gu1[6] + Q11[38]*Gu1[10] + Q11[39]*Gu1[14] + Q11[40]*Gu1[18] + Q11[41]*Gu1[22] + Q11[42]*Gu1[26] + Q11[43]*Gu1[30] + Q11[44]*Gu1[34] + Q11[45]*Gu1[38] + Q11[46]*Gu1[42] + Q11[47]*Gu1[46] + Gu2[14]; -Gu3[15] = + Q11[36]*Gu1[3] + Q11[37]*Gu1[7] + Q11[38]*Gu1[11] + Q11[39]*Gu1[15] + Q11[40]*Gu1[19] + Q11[41]*Gu1[23] + Q11[42]*Gu1[27] + Q11[43]*Gu1[31] + Q11[44]*Gu1[35] + Q11[45]*Gu1[39] + Q11[46]*Gu1[43] + Q11[47]*Gu1[47] + Gu2[15]; -Gu3[16] = + Q11[48]*Gu1[0] + Q11[49]*Gu1[4] + Q11[50]*Gu1[8] + Q11[51]*Gu1[12] + Q11[52]*Gu1[16] + Q11[53]*Gu1[20] + Q11[54]*Gu1[24] + Q11[55]*Gu1[28] + Q11[56]*Gu1[32] + Q11[57]*Gu1[36] + Q11[58]*Gu1[40] + Q11[59]*Gu1[44] + Gu2[16]; -Gu3[17] = + Q11[48]*Gu1[1] + Q11[49]*Gu1[5] + Q11[50]*Gu1[9] + Q11[51]*Gu1[13] + Q11[52]*Gu1[17] + Q11[53]*Gu1[21] + Q11[54]*Gu1[25] + Q11[55]*Gu1[29] + Q11[56]*Gu1[33] + Q11[57]*Gu1[37] + Q11[58]*Gu1[41] + Q11[59]*Gu1[45] + Gu2[17]; -Gu3[18] = + Q11[48]*Gu1[2] + Q11[49]*Gu1[6] + Q11[50]*Gu1[10] + Q11[51]*Gu1[14] + Q11[52]*Gu1[18] + Q11[53]*Gu1[22] + Q11[54]*Gu1[26] + Q11[55]*Gu1[30] + Q11[56]*Gu1[34] + Q11[57]*Gu1[38] + Q11[58]*Gu1[42] + Q11[59]*Gu1[46] + Gu2[18]; -Gu3[19] = + Q11[48]*Gu1[3] + Q11[49]*Gu1[7] + Q11[50]*Gu1[11] + Q11[51]*Gu1[15] + Q11[52]*Gu1[19] + Q11[53]*Gu1[23] + Q11[54]*Gu1[27] + Q11[55]*Gu1[31] + Q11[56]*Gu1[35] + Q11[57]*Gu1[39] + Q11[58]*Gu1[43] + Q11[59]*Gu1[47] + Gu2[19]; -Gu3[20] = + Q11[60]*Gu1[0] + Q11[61]*Gu1[4] + Q11[62]*Gu1[8] + Q11[63]*Gu1[12] + Q11[64]*Gu1[16] + Q11[65]*Gu1[20] + Q11[66]*Gu1[24] + Q11[67]*Gu1[28] + Q11[68]*Gu1[32] + Q11[69]*Gu1[36] + Q11[70]*Gu1[40] + Q11[71]*Gu1[44] + Gu2[20]; -Gu3[21] = + Q11[60]*Gu1[1] + Q11[61]*Gu1[5] + Q11[62]*Gu1[9] + Q11[63]*Gu1[13] + Q11[64]*Gu1[17] + Q11[65]*Gu1[21] + Q11[66]*Gu1[25] + Q11[67]*Gu1[29] + Q11[68]*Gu1[33] + Q11[69]*Gu1[37] + Q11[70]*Gu1[41] + Q11[71]*Gu1[45] + Gu2[21]; -Gu3[22] = + Q11[60]*Gu1[2] + Q11[61]*Gu1[6] + Q11[62]*Gu1[10] + Q11[63]*Gu1[14] + Q11[64]*Gu1[18] + Q11[65]*Gu1[22] + Q11[66]*Gu1[26] + Q11[67]*Gu1[30] + Q11[68]*Gu1[34] + Q11[69]*Gu1[38] + Q11[70]*Gu1[42] + Q11[71]*Gu1[46] + Gu2[22]; -Gu3[23] = + Q11[60]*Gu1[3] + Q11[61]*Gu1[7] + Q11[62]*Gu1[11] + Q11[63]*Gu1[15] + Q11[64]*Gu1[19] + Q11[65]*Gu1[23] + Q11[66]*Gu1[27] + Q11[67]*Gu1[31] + Q11[68]*Gu1[35] + Q11[69]*Gu1[39] + Q11[70]*Gu1[43] + Q11[71]*Gu1[47] + Gu2[23]; -Gu3[24] = + Q11[72]*Gu1[0] + Q11[73]*Gu1[4] + Q11[74]*Gu1[8] + Q11[75]*Gu1[12] + Q11[76]*Gu1[16] + Q11[77]*Gu1[20] + Q11[78]*Gu1[24] + Q11[79]*Gu1[28] + Q11[80]*Gu1[32] + Q11[81]*Gu1[36] + Q11[82]*Gu1[40] + Q11[83]*Gu1[44] + Gu2[24]; -Gu3[25] = + Q11[72]*Gu1[1] + Q11[73]*Gu1[5] + Q11[74]*Gu1[9] + Q11[75]*Gu1[13] + Q11[76]*Gu1[17] + Q11[77]*Gu1[21] + Q11[78]*Gu1[25] + Q11[79]*Gu1[29] + Q11[80]*Gu1[33] + Q11[81]*Gu1[37] + Q11[82]*Gu1[41] + Q11[83]*Gu1[45] + Gu2[25]; -Gu3[26] = + Q11[72]*Gu1[2] + Q11[73]*Gu1[6] + Q11[74]*Gu1[10] + Q11[75]*Gu1[14] + Q11[76]*Gu1[18] + Q11[77]*Gu1[22] + Q11[78]*Gu1[26] + Q11[79]*Gu1[30] + Q11[80]*Gu1[34] + Q11[81]*Gu1[38] + Q11[82]*Gu1[42] + Q11[83]*Gu1[46] + Gu2[26]; -Gu3[27] = + Q11[72]*Gu1[3] + Q11[73]*Gu1[7] + Q11[74]*Gu1[11] + Q11[75]*Gu1[15] + Q11[76]*Gu1[19] + Q11[77]*Gu1[23] + Q11[78]*Gu1[27] + Q11[79]*Gu1[31] + Q11[80]*Gu1[35] + Q11[81]*Gu1[39] + Q11[82]*Gu1[43] + Q11[83]*Gu1[47] + Gu2[27]; -Gu3[28] = + Q11[84]*Gu1[0] + Q11[85]*Gu1[4] + Q11[86]*Gu1[8] + Q11[87]*Gu1[12] + Q11[88]*Gu1[16] + Q11[89]*Gu1[20] + Q11[90]*Gu1[24] + Q11[91]*Gu1[28] + Q11[92]*Gu1[32] + Q11[93]*Gu1[36] + Q11[94]*Gu1[40] + Q11[95]*Gu1[44] + Gu2[28]; -Gu3[29] = + Q11[84]*Gu1[1] + Q11[85]*Gu1[5] + Q11[86]*Gu1[9] + Q11[87]*Gu1[13] + Q11[88]*Gu1[17] + Q11[89]*Gu1[21] + Q11[90]*Gu1[25] + Q11[91]*Gu1[29] + Q11[92]*Gu1[33] + Q11[93]*Gu1[37] + Q11[94]*Gu1[41] + Q11[95]*Gu1[45] + Gu2[29]; -Gu3[30] = + Q11[84]*Gu1[2] + Q11[85]*Gu1[6] + Q11[86]*Gu1[10] + Q11[87]*Gu1[14] + Q11[88]*Gu1[18] + Q11[89]*Gu1[22] + Q11[90]*Gu1[26] + Q11[91]*Gu1[30] + Q11[92]*Gu1[34] + Q11[93]*Gu1[38] + Q11[94]*Gu1[42] + Q11[95]*Gu1[46] + Gu2[30]; -Gu3[31] = + Q11[84]*Gu1[3] + Q11[85]*Gu1[7] + Q11[86]*Gu1[11] + Q11[87]*Gu1[15] + Q11[88]*Gu1[19] + Q11[89]*Gu1[23] + Q11[90]*Gu1[27] + Q11[91]*Gu1[31] + Q11[92]*Gu1[35] + Q11[93]*Gu1[39] + Q11[94]*Gu1[43] + Q11[95]*Gu1[47] + Gu2[31]; -Gu3[32] = + Q11[96]*Gu1[0] + Q11[97]*Gu1[4] + Q11[98]*Gu1[8] + Q11[99]*Gu1[12] + Q11[100]*Gu1[16] + Q11[101]*Gu1[20] + Q11[102]*Gu1[24] + Q11[103]*Gu1[28] + Q11[104]*Gu1[32] + Q11[105]*Gu1[36] + Q11[106]*Gu1[40] + Q11[107]*Gu1[44] + Gu2[32]; -Gu3[33] = + Q11[96]*Gu1[1] + Q11[97]*Gu1[5] + Q11[98]*Gu1[9] + Q11[99]*Gu1[13] + Q11[100]*Gu1[17] + Q11[101]*Gu1[21] + Q11[102]*Gu1[25] + Q11[103]*Gu1[29] + Q11[104]*Gu1[33] + Q11[105]*Gu1[37] + Q11[106]*Gu1[41] + Q11[107]*Gu1[45] + Gu2[33]; -Gu3[34] = + Q11[96]*Gu1[2] + Q11[97]*Gu1[6] + Q11[98]*Gu1[10] + Q11[99]*Gu1[14] + Q11[100]*Gu1[18] + Q11[101]*Gu1[22] + Q11[102]*Gu1[26] + Q11[103]*Gu1[30] + Q11[104]*Gu1[34] + Q11[105]*Gu1[38] + Q11[106]*Gu1[42] + Q11[107]*Gu1[46] + Gu2[34]; -Gu3[35] = + Q11[96]*Gu1[3] + Q11[97]*Gu1[7] + Q11[98]*Gu1[11] + Q11[99]*Gu1[15] + Q11[100]*Gu1[19] + Q11[101]*Gu1[23] + Q11[102]*Gu1[27] + Q11[103]*Gu1[31] + Q11[104]*Gu1[35] + Q11[105]*Gu1[39] + Q11[106]*Gu1[43] + Q11[107]*Gu1[47] + Gu2[35]; -Gu3[36] = + Q11[108]*Gu1[0] + Q11[109]*Gu1[4] + Q11[110]*Gu1[8] + Q11[111]*Gu1[12] + Q11[112]*Gu1[16] + Q11[113]*Gu1[20] + Q11[114]*Gu1[24] + Q11[115]*Gu1[28] + Q11[116]*Gu1[32] + Q11[117]*Gu1[36] + Q11[118]*Gu1[40] + Q11[119]*Gu1[44] + Gu2[36]; -Gu3[37] = + Q11[108]*Gu1[1] + Q11[109]*Gu1[5] + Q11[110]*Gu1[9] + Q11[111]*Gu1[13] + Q11[112]*Gu1[17] + Q11[113]*Gu1[21] + Q11[114]*Gu1[25] + Q11[115]*Gu1[29] + Q11[116]*Gu1[33] + Q11[117]*Gu1[37] + Q11[118]*Gu1[41] + Q11[119]*Gu1[45] + Gu2[37]; -Gu3[38] = + Q11[108]*Gu1[2] + Q11[109]*Gu1[6] + Q11[110]*Gu1[10] + Q11[111]*Gu1[14] + Q11[112]*Gu1[18] + Q11[113]*Gu1[22] + Q11[114]*Gu1[26] + Q11[115]*Gu1[30] + Q11[116]*Gu1[34] + Q11[117]*Gu1[38] + Q11[118]*Gu1[42] + Q11[119]*Gu1[46] + Gu2[38]; -Gu3[39] = + Q11[108]*Gu1[3] + Q11[109]*Gu1[7] + Q11[110]*Gu1[11] + Q11[111]*Gu1[15] + Q11[112]*Gu1[19] + Q11[113]*Gu1[23] + Q11[114]*Gu1[27] + Q11[115]*Gu1[31] + Q11[116]*Gu1[35] + Q11[117]*Gu1[39] + Q11[118]*Gu1[43] + Q11[119]*Gu1[47] + Gu2[39]; -Gu3[40] = + Q11[120]*Gu1[0] + Q11[121]*Gu1[4] + Q11[122]*Gu1[8] + Q11[123]*Gu1[12] + Q11[124]*Gu1[16] + Q11[125]*Gu1[20] + Q11[126]*Gu1[24] + Q11[127]*Gu1[28] + Q11[128]*Gu1[32] + Q11[129]*Gu1[36] + Q11[130]*Gu1[40] + Q11[131]*Gu1[44] + Gu2[40]; -Gu3[41] = + Q11[120]*Gu1[1] + Q11[121]*Gu1[5] + Q11[122]*Gu1[9] + Q11[123]*Gu1[13] + Q11[124]*Gu1[17] + Q11[125]*Gu1[21] + Q11[126]*Gu1[25] + Q11[127]*Gu1[29] + Q11[128]*Gu1[33] + Q11[129]*Gu1[37] + Q11[130]*Gu1[41] + Q11[131]*Gu1[45] + Gu2[41]; -Gu3[42] = + Q11[120]*Gu1[2] + Q11[121]*Gu1[6] + Q11[122]*Gu1[10] + Q11[123]*Gu1[14] + Q11[124]*Gu1[18] + Q11[125]*Gu1[22] + Q11[126]*Gu1[26] + Q11[127]*Gu1[30] + Q11[128]*Gu1[34] + Q11[129]*Gu1[38] + Q11[130]*Gu1[42] + Q11[131]*Gu1[46] + Gu2[42]; -Gu3[43] = + Q11[120]*Gu1[3] + Q11[121]*Gu1[7] + Q11[122]*Gu1[11] + Q11[123]*Gu1[15] + Q11[124]*Gu1[19] + Q11[125]*Gu1[23] + Q11[126]*Gu1[27] + Q11[127]*Gu1[31] + Q11[128]*Gu1[35] + Q11[129]*Gu1[39] + Q11[130]*Gu1[43] + Q11[131]*Gu1[47] + Gu2[43]; -Gu3[44] = + Q11[132]*Gu1[0] + Q11[133]*Gu1[4] + Q11[134]*Gu1[8] + Q11[135]*Gu1[12] + Q11[136]*Gu1[16] + Q11[137]*Gu1[20] + Q11[138]*Gu1[24] + Q11[139]*Gu1[28] + Q11[140]*Gu1[32] + Q11[141]*Gu1[36] + Q11[142]*Gu1[40] + Q11[143]*Gu1[44] + Gu2[44]; -Gu3[45] = + Q11[132]*Gu1[1] + Q11[133]*Gu1[5] + Q11[134]*Gu1[9] + Q11[135]*Gu1[13] + Q11[136]*Gu1[17] + Q11[137]*Gu1[21] + Q11[138]*Gu1[25] + Q11[139]*Gu1[29] + Q11[140]*Gu1[33] + Q11[141]*Gu1[37] + Q11[142]*Gu1[41] + Q11[143]*Gu1[45] + Gu2[45]; -Gu3[46] = + Q11[132]*Gu1[2] + Q11[133]*Gu1[6] + Q11[134]*Gu1[10] + Q11[135]*Gu1[14] + Q11[136]*Gu1[18] + Q11[137]*Gu1[22] + Q11[138]*Gu1[26] + Q11[139]*Gu1[30] + Q11[140]*Gu1[34] + Q11[141]*Gu1[38] + Q11[142]*Gu1[42] + Q11[143]*Gu1[46] + Gu2[46]; -Gu3[47] = + Q11[132]*Gu1[3] + Q11[133]*Gu1[7] + Q11[134]*Gu1[11] + Q11[135]*Gu1[15] + Q11[136]*Gu1[19] + Q11[137]*Gu1[23] + Q11[138]*Gu1[27] + Q11[139]*Gu1[31] + Q11[140]*Gu1[35] + Q11[141]*Gu1[39] + Q11[142]*Gu1[43] + Q11[143]*Gu1[47] + Gu2[47]; +Gu3[0] = + Q11[0]*Gu1[0] + Q11[1]*Gu1[6] + Q11[2]*Gu1[12] + Q11[3]*Gu1[18] + Q11[4]*Gu1[24] + Q11[5]*Gu1[30] + Q11[6]*Gu1[36] + Q11[7]*Gu1[42] + Q11[8]*Gu1[48] + Q11[9]*Gu1[54] + Q11[10]*Gu1[60] + Q11[11]*Gu1[66] + Gu2[0]; +Gu3[1] = + Q11[0]*Gu1[1] + Q11[1]*Gu1[7] + Q11[2]*Gu1[13] + Q11[3]*Gu1[19] + Q11[4]*Gu1[25] + Q11[5]*Gu1[31] + Q11[6]*Gu1[37] + Q11[7]*Gu1[43] + Q11[8]*Gu1[49] + Q11[9]*Gu1[55] + Q11[10]*Gu1[61] + Q11[11]*Gu1[67] + Gu2[1]; +Gu3[2] = + Q11[0]*Gu1[2] + Q11[1]*Gu1[8] + Q11[2]*Gu1[14] + Q11[3]*Gu1[20] + Q11[4]*Gu1[26] + Q11[5]*Gu1[32] + Q11[6]*Gu1[38] + Q11[7]*Gu1[44] + Q11[8]*Gu1[50] + Q11[9]*Gu1[56] + Q11[10]*Gu1[62] + Q11[11]*Gu1[68] + Gu2[2]; +Gu3[3] = + Q11[0]*Gu1[3] + Q11[1]*Gu1[9] + Q11[2]*Gu1[15] + Q11[3]*Gu1[21] + Q11[4]*Gu1[27] + Q11[5]*Gu1[33] + Q11[6]*Gu1[39] + Q11[7]*Gu1[45] + Q11[8]*Gu1[51] + Q11[9]*Gu1[57] + Q11[10]*Gu1[63] + Q11[11]*Gu1[69] + Gu2[3]; +Gu3[4] = + Q11[0]*Gu1[4] + Q11[1]*Gu1[10] + Q11[2]*Gu1[16] + Q11[3]*Gu1[22] + Q11[4]*Gu1[28] + Q11[5]*Gu1[34] + Q11[6]*Gu1[40] + Q11[7]*Gu1[46] + Q11[8]*Gu1[52] + Q11[9]*Gu1[58] + Q11[10]*Gu1[64] + Q11[11]*Gu1[70] + Gu2[4]; +Gu3[5] = + Q11[0]*Gu1[5] + Q11[1]*Gu1[11] + Q11[2]*Gu1[17] + Q11[3]*Gu1[23] + Q11[4]*Gu1[29] + Q11[5]*Gu1[35] + Q11[6]*Gu1[41] + Q11[7]*Gu1[47] + Q11[8]*Gu1[53] + Q11[9]*Gu1[59] + Q11[10]*Gu1[65] + Q11[11]*Gu1[71] + Gu2[5]; +Gu3[6] = + Q11[12]*Gu1[0] + Q11[13]*Gu1[6] + Q11[14]*Gu1[12] + Q11[15]*Gu1[18] + Q11[16]*Gu1[24] + Q11[17]*Gu1[30] + Q11[18]*Gu1[36] + Q11[19]*Gu1[42] + Q11[20]*Gu1[48] + Q11[21]*Gu1[54] + Q11[22]*Gu1[60] + Q11[23]*Gu1[66] + Gu2[6]; +Gu3[7] = + Q11[12]*Gu1[1] + Q11[13]*Gu1[7] + Q11[14]*Gu1[13] + Q11[15]*Gu1[19] + Q11[16]*Gu1[25] + Q11[17]*Gu1[31] + Q11[18]*Gu1[37] + Q11[19]*Gu1[43] + Q11[20]*Gu1[49] + Q11[21]*Gu1[55] + Q11[22]*Gu1[61] + Q11[23]*Gu1[67] + Gu2[7]; +Gu3[8] = + Q11[12]*Gu1[2] + Q11[13]*Gu1[8] + Q11[14]*Gu1[14] + Q11[15]*Gu1[20] + Q11[16]*Gu1[26] + Q11[17]*Gu1[32] + Q11[18]*Gu1[38] + Q11[19]*Gu1[44] + Q11[20]*Gu1[50] + Q11[21]*Gu1[56] + Q11[22]*Gu1[62] + Q11[23]*Gu1[68] + Gu2[8]; +Gu3[9] = + Q11[12]*Gu1[3] + Q11[13]*Gu1[9] + Q11[14]*Gu1[15] + Q11[15]*Gu1[21] + Q11[16]*Gu1[27] + Q11[17]*Gu1[33] + Q11[18]*Gu1[39] + Q11[19]*Gu1[45] + Q11[20]*Gu1[51] + Q11[21]*Gu1[57] + Q11[22]*Gu1[63] + Q11[23]*Gu1[69] + Gu2[9]; +Gu3[10] = + Q11[12]*Gu1[4] + Q11[13]*Gu1[10] + Q11[14]*Gu1[16] + Q11[15]*Gu1[22] + Q11[16]*Gu1[28] + Q11[17]*Gu1[34] + Q11[18]*Gu1[40] + Q11[19]*Gu1[46] + Q11[20]*Gu1[52] + Q11[21]*Gu1[58] + Q11[22]*Gu1[64] + Q11[23]*Gu1[70] + Gu2[10]; +Gu3[11] = + Q11[12]*Gu1[5] + Q11[13]*Gu1[11] + Q11[14]*Gu1[17] + Q11[15]*Gu1[23] + Q11[16]*Gu1[29] + Q11[17]*Gu1[35] + Q11[18]*Gu1[41] + Q11[19]*Gu1[47] + Q11[20]*Gu1[53] + Q11[21]*Gu1[59] + Q11[22]*Gu1[65] + Q11[23]*Gu1[71] + Gu2[11]; +Gu3[12] = + Q11[24]*Gu1[0] + Q11[25]*Gu1[6] + Q11[26]*Gu1[12] + Q11[27]*Gu1[18] + Q11[28]*Gu1[24] + Q11[29]*Gu1[30] + Q11[30]*Gu1[36] + Q11[31]*Gu1[42] + Q11[32]*Gu1[48] + Q11[33]*Gu1[54] + Q11[34]*Gu1[60] + Q11[35]*Gu1[66] + Gu2[12]; +Gu3[13] = + Q11[24]*Gu1[1] + Q11[25]*Gu1[7] + Q11[26]*Gu1[13] + Q11[27]*Gu1[19] + Q11[28]*Gu1[25] + Q11[29]*Gu1[31] + Q11[30]*Gu1[37] + Q11[31]*Gu1[43] + Q11[32]*Gu1[49] + Q11[33]*Gu1[55] + Q11[34]*Gu1[61] + Q11[35]*Gu1[67] + Gu2[13]; +Gu3[14] = + Q11[24]*Gu1[2] + Q11[25]*Gu1[8] + Q11[26]*Gu1[14] + Q11[27]*Gu1[20] + Q11[28]*Gu1[26] + Q11[29]*Gu1[32] + Q11[30]*Gu1[38] + Q11[31]*Gu1[44] + Q11[32]*Gu1[50] + Q11[33]*Gu1[56] + Q11[34]*Gu1[62] + Q11[35]*Gu1[68] + Gu2[14]; +Gu3[15] = + Q11[24]*Gu1[3] + Q11[25]*Gu1[9] + Q11[26]*Gu1[15] + Q11[27]*Gu1[21] + Q11[28]*Gu1[27] + Q11[29]*Gu1[33] + Q11[30]*Gu1[39] + Q11[31]*Gu1[45] + Q11[32]*Gu1[51] + Q11[33]*Gu1[57] + Q11[34]*Gu1[63] + Q11[35]*Gu1[69] + Gu2[15]; +Gu3[16] = + Q11[24]*Gu1[4] + Q11[25]*Gu1[10] + Q11[26]*Gu1[16] + Q11[27]*Gu1[22] + Q11[28]*Gu1[28] + Q11[29]*Gu1[34] + Q11[30]*Gu1[40] + Q11[31]*Gu1[46] + Q11[32]*Gu1[52] + Q11[33]*Gu1[58] + Q11[34]*Gu1[64] + Q11[35]*Gu1[70] + Gu2[16]; +Gu3[17] = + Q11[24]*Gu1[5] + Q11[25]*Gu1[11] + Q11[26]*Gu1[17] + Q11[27]*Gu1[23] + Q11[28]*Gu1[29] + Q11[29]*Gu1[35] + Q11[30]*Gu1[41] + Q11[31]*Gu1[47] + Q11[32]*Gu1[53] + Q11[33]*Gu1[59] + Q11[34]*Gu1[65] + Q11[35]*Gu1[71] + Gu2[17]; +Gu3[18] = + Q11[36]*Gu1[0] + Q11[37]*Gu1[6] + Q11[38]*Gu1[12] + Q11[39]*Gu1[18] + Q11[40]*Gu1[24] + Q11[41]*Gu1[30] + Q11[42]*Gu1[36] + Q11[43]*Gu1[42] + Q11[44]*Gu1[48] + Q11[45]*Gu1[54] + Q11[46]*Gu1[60] + Q11[47]*Gu1[66] + Gu2[18]; +Gu3[19] = + Q11[36]*Gu1[1] + Q11[37]*Gu1[7] + Q11[38]*Gu1[13] + Q11[39]*Gu1[19] + Q11[40]*Gu1[25] + Q11[41]*Gu1[31] + Q11[42]*Gu1[37] + Q11[43]*Gu1[43] + Q11[44]*Gu1[49] + Q11[45]*Gu1[55] + Q11[46]*Gu1[61] + Q11[47]*Gu1[67] + Gu2[19]; +Gu3[20] = + Q11[36]*Gu1[2] + Q11[37]*Gu1[8] + Q11[38]*Gu1[14] + Q11[39]*Gu1[20] + Q11[40]*Gu1[26] + Q11[41]*Gu1[32] + Q11[42]*Gu1[38] + Q11[43]*Gu1[44] + Q11[44]*Gu1[50] + Q11[45]*Gu1[56] + Q11[46]*Gu1[62] + Q11[47]*Gu1[68] + Gu2[20]; +Gu3[21] = + Q11[36]*Gu1[3] + Q11[37]*Gu1[9] + Q11[38]*Gu1[15] + Q11[39]*Gu1[21] + Q11[40]*Gu1[27] + Q11[41]*Gu1[33] + Q11[42]*Gu1[39] + Q11[43]*Gu1[45] + Q11[44]*Gu1[51] + Q11[45]*Gu1[57] + Q11[46]*Gu1[63] + Q11[47]*Gu1[69] + Gu2[21]; +Gu3[22] = + Q11[36]*Gu1[4] + Q11[37]*Gu1[10] + Q11[38]*Gu1[16] + Q11[39]*Gu1[22] + Q11[40]*Gu1[28] + Q11[41]*Gu1[34] + Q11[42]*Gu1[40] + Q11[43]*Gu1[46] + Q11[44]*Gu1[52] + Q11[45]*Gu1[58] + Q11[46]*Gu1[64] + Q11[47]*Gu1[70] + Gu2[22]; +Gu3[23] = + Q11[36]*Gu1[5] + Q11[37]*Gu1[11] + Q11[38]*Gu1[17] + Q11[39]*Gu1[23] + Q11[40]*Gu1[29] + Q11[41]*Gu1[35] + Q11[42]*Gu1[41] + Q11[43]*Gu1[47] + Q11[44]*Gu1[53] + Q11[45]*Gu1[59] + Q11[46]*Gu1[65] + Q11[47]*Gu1[71] + Gu2[23]; +Gu3[24] = + Q11[48]*Gu1[0] + Q11[49]*Gu1[6] + Q11[50]*Gu1[12] + Q11[51]*Gu1[18] + Q11[52]*Gu1[24] + Q11[53]*Gu1[30] + Q11[54]*Gu1[36] + Q11[55]*Gu1[42] + Q11[56]*Gu1[48] + Q11[57]*Gu1[54] + Q11[58]*Gu1[60] + Q11[59]*Gu1[66] + Gu2[24]; +Gu3[25] = + Q11[48]*Gu1[1] + Q11[49]*Gu1[7] + Q11[50]*Gu1[13] + Q11[51]*Gu1[19] + Q11[52]*Gu1[25] + Q11[53]*Gu1[31] + Q11[54]*Gu1[37] + Q11[55]*Gu1[43] + Q11[56]*Gu1[49] + Q11[57]*Gu1[55] + Q11[58]*Gu1[61] + Q11[59]*Gu1[67] + Gu2[25]; +Gu3[26] = + Q11[48]*Gu1[2] + Q11[49]*Gu1[8] + Q11[50]*Gu1[14] + Q11[51]*Gu1[20] + Q11[52]*Gu1[26] + Q11[53]*Gu1[32] + Q11[54]*Gu1[38] + Q11[55]*Gu1[44] + Q11[56]*Gu1[50] + Q11[57]*Gu1[56] + Q11[58]*Gu1[62] + Q11[59]*Gu1[68] + Gu2[26]; +Gu3[27] = + Q11[48]*Gu1[3] + Q11[49]*Gu1[9] + Q11[50]*Gu1[15] + Q11[51]*Gu1[21] + Q11[52]*Gu1[27] + Q11[53]*Gu1[33] + Q11[54]*Gu1[39] + Q11[55]*Gu1[45] + Q11[56]*Gu1[51] + Q11[57]*Gu1[57] + Q11[58]*Gu1[63] + Q11[59]*Gu1[69] + Gu2[27]; +Gu3[28] = + Q11[48]*Gu1[4] + Q11[49]*Gu1[10] + Q11[50]*Gu1[16] + Q11[51]*Gu1[22] + Q11[52]*Gu1[28] + Q11[53]*Gu1[34] + Q11[54]*Gu1[40] + Q11[55]*Gu1[46] + Q11[56]*Gu1[52] + Q11[57]*Gu1[58] + Q11[58]*Gu1[64] + Q11[59]*Gu1[70] + Gu2[28]; +Gu3[29] = + Q11[48]*Gu1[5] + Q11[49]*Gu1[11] + Q11[50]*Gu1[17] + Q11[51]*Gu1[23] + Q11[52]*Gu1[29] + Q11[53]*Gu1[35] + Q11[54]*Gu1[41] + Q11[55]*Gu1[47] + Q11[56]*Gu1[53] + Q11[57]*Gu1[59] + Q11[58]*Gu1[65] + Q11[59]*Gu1[71] + Gu2[29]; +Gu3[30] = + Q11[60]*Gu1[0] + Q11[61]*Gu1[6] + Q11[62]*Gu1[12] + Q11[63]*Gu1[18] + Q11[64]*Gu1[24] + Q11[65]*Gu1[30] + Q11[66]*Gu1[36] + Q11[67]*Gu1[42] + Q11[68]*Gu1[48] + Q11[69]*Gu1[54] + Q11[70]*Gu1[60] + Q11[71]*Gu1[66] + Gu2[30]; +Gu3[31] = + Q11[60]*Gu1[1] + Q11[61]*Gu1[7] + Q11[62]*Gu1[13] + Q11[63]*Gu1[19] + Q11[64]*Gu1[25] + Q11[65]*Gu1[31] + Q11[66]*Gu1[37] + Q11[67]*Gu1[43] + Q11[68]*Gu1[49] + Q11[69]*Gu1[55] + Q11[70]*Gu1[61] + Q11[71]*Gu1[67] + Gu2[31]; +Gu3[32] = + Q11[60]*Gu1[2] + Q11[61]*Gu1[8] + Q11[62]*Gu1[14] + Q11[63]*Gu1[20] + Q11[64]*Gu1[26] + Q11[65]*Gu1[32] + Q11[66]*Gu1[38] + Q11[67]*Gu1[44] + Q11[68]*Gu1[50] + Q11[69]*Gu1[56] + Q11[70]*Gu1[62] + Q11[71]*Gu1[68] + Gu2[32]; +Gu3[33] = + Q11[60]*Gu1[3] + Q11[61]*Gu1[9] + Q11[62]*Gu1[15] + Q11[63]*Gu1[21] + Q11[64]*Gu1[27] + Q11[65]*Gu1[33] + Q11[66]*Gu1[39] + Q11[67]*Gu1[45] + Q11[68]*Gu1[51] + Q11[69]*Gu1[57] + Q11[70]*Gu1[63] + Q11[71]*Gu1[69] + Gu2[33]; +Gu3[34] = + Q11[60]*Gu1[4] + Q11[61]*Gu1[10] + Q11[62]*Gu1[16] + Q11[63]*Gu1[22] + Q11[64]*Gu1[28] + Q11[65]*Gu1[34] + Q11[66]*Gu1[40] + Q11[67]*Gu1[46] + Q11[68]*Gu1[52] + Q11[69]*Gu1[58] + Q11[70]*Gu1[64] + Q11[71]*Gu1[70] + Gu2[34]; +Gu3[35] = + Q11[60]*Gu1[5] + Q11[61]*Gu1[11] + Q11[62]*Gu1[17] + Q11[63]*Gu1[23] + Q11[64]*Gu1[29] + Q11[65]*Gu1[35] + Q11[66]*Gu1[41] + Q11[67]*Gu1[47] + Q11[68]*Gu1[53] + Q11[69]*Gu1[59] + Q11[70]*Gu1[65] + Q11[71]*Gu1[71] + Gu2[35]; +Gu3[36] = + Q11[72]*Gu1[0] + Q11[73]*Gu1[6] + Q11[74]*Gu1[12] + Q11[75]*Gu1[18] + Q11[76]*Gu1[24] + Q11[77]*Gu1[30] + Q11[78]*Gu1[36] + Q11[79]*Gu1[42] + Q11[80]*Gu1[48] + Q11[81]*Gu1[54] + Q11[82]*Gu1[60] + Q11[83]*Gu1[66] + Gu2[36]; +Gu3[37] = + Q11[72]*Gu1[1] + Q11[73]*Gu1[7] + Q11[74]*Gu1[13] + Q11[75]*Gu1[19] + Q11[76]*Gu1[25] + Q11[77]*Gu1[31] + Q11[78]*Gu1[37] + Q11[79]*Gu1[43] + Q11[80]*Gu1[49] + Q11[81]*Gu1[55] + Q11[82]*Gu1[61] + Q11[83]*Gu1[67] + Gu2[37]; +Gu3[38] = + Q11[72]*Gu1[2] + Q11[73]*Gu1[8] + Q11[74]*Gu1[14] + Q11[75]*Gu1[20] + Q11[76]*Gu1[26] + Q11[77]*Gu1[32] + Q11[78]*Gu1[38] + Q11[79]*Gu1[44] + Q11[80]*Gu1[50] + Q11[81]*Gu1[56] + Q11[82]*Gu1[62] + Q11[83]*Gu1[68] + Gu2[38]; +Gu3[39] = + Q11[72]*Gu1[3] + Q11[73]*Gu1[9] + Q11[74]*Gu1[15] + Q11[75]*Gu1[21] + Q11[76]*Gu1[27] + Q11[77]*Gu1[33] + Q11[78]*Gu1[39] + Q11[79]*Gu1[45] + Q11[80]*Gu1[51] + Q11[81]*Gu1[57] + Q11[82]*Gu1[63] + Q11[83]*Gu1[69] + Gu2[39]; +Gu3[40] = + Q11[72]*Gu1[4] + Q11[73]*Gu1[10] + Q11[74]*Gu1[16] + Q11[75]*Gu1[22] + Q11[76]*Gu1[28] + Q11[77]*Gu1[34] + Q11[78]*Gu1[40] + Q11[79]*Gu1[46] + Q11[80]*Gu1[52] + Q11[81]*Gu1[58] + Q11[82]*Gu1[64] + Q11[83]*Gu1[70] + Gu2[40]; +Gu3[41] = + Q11[72]*Gu1[5] + Q11[73]*Gu1[11] + Q11[74]*Gu1[17] + Q11[75]*Gu1[23] + Q11[76]*Gu1[29] + Q11[77]*Gu1[35] + Q11[78]*Gu1[41] + Q11[79]*Gu1[47] + Q11[80]*Gu1[53] + Q11[81]*Gu1[59] + Q11[82]*Gu1[65] + Q11[83]*Gu1[71] + Gu2[41]; +Gu3[42] = + Q11[84]*Gu1[0] + Q11[85]*Gu1[6] + Q11[86]*Gu1[12] + Q11[87]*Gu1[18] + Q11[88]*Gu1[24] + Q11[89]*Gu1[30] + Q11[90]*Gu1[36] + Q11[91]*Gu1[42] + Q11[92]*Gu1[48] + Q11[93]*Gu1[54] + Q11[94]*Gu1[60] + Q11[95]*Gu1[66] + Gu2[42]; +Gu3[43] = + Q11[84]*Gu1[1] + Q11[85]*Gu1[7] + Q11[86]*Gu1[13] + Q11[87]*Gu1[19] + Q11[88]*Gu1[25] + Q11[89]*Gu1[31] + Q11[90]*Gu1[37] + Q11[91]*Gu1[43] + Q11[92]*Gu1[49] + Q11[93]*Gu1[55] + Q11[94]*Gu1[61] + Q11[95]*Gu1[67] + Gu2[43]; +Gu3[44] = + Q11[84]*Gu1[2] + Q11[85]*Gu1[8] + Q11[86]*Gu1[14] + Q11[87]*Gu1[20] + Q11[88]*Gu1[26] + Q11[89]*Gu1[32] + Q11[90]*Gu1[38] + Q11[91]*Gu1[44] + Q11[92]*Gu1[50] + Q11[93]*Gu1[56] + Q11[94]*Gu1[62] + Q11[95]*Gu1[68] + Gu2[44]; +Gu3[45] = + Q11[84]*Gu1[3] + Q11[85]*Gu1[9] + Q11[86]*Gu1[15] + Q11[87]*Gu1[21] + Q11[88]*Gu1[27] + Q11[89]*Gu1[33] + Q11[90]*Gu1[39] + Q11[91]*Gu1[45] + Q11[92]*Gu1[51] + Q11[93]*Gu1[57] + Q11[94]*Gu1[63] + Q11[95]*Gu1[69] + Gu2[45]; +Gu3[46] = + Q11[84]*Gu1[4] + Q11[85]*Gu1[10] + Q11[86]*Gu1[16] + Q11[87]*Gu1[22] + Q11[88]*Gu1[28] + Q11[89]*Gu1[34] + Q11[90]*Gu1[40] + Q11[91]*Gu1[46] + Q11[92]*Gu1[52] + Q11[93]*Gu1[58] + Q11[94]*Gu1[64] + Q11[95]*Gu1[70] + Gu2[46]; +Gu3[47] = + Q11[84]*Gu1[5] + Q11[85]*Gu1[11] + Q11[86]*Gu1[17] + Q11[87]*Gu1[23] + Q11[88]*Gu1[29] + Q11[89]*Gu1[35] + Q11[90]*Gu1[41] + Q11[91]*Gu1[47] + Q11[92]*Gu1[53] + Q11[93]*Gu1[59] + Q11[94]*Gu1[65] + Q11[95]*Gu1[71] + Gu2[47]; +Gu3[48] = + Q11[96]*Gu1[0] + Q11[97]*Gu1[6] + Q11[98]*Gu1[12] + Q11[99]*Gu1[18] + Q11[100]*Gu1[24] + Q11[101]*Gu1[30] + Q11[102]*Gu1[36] + Q11[103]*Gu1[42] + Q11[104]*Gu1[48] + Q11[105]*Gu1[54] + Q11[106]*Gu1[60] + Q11[107]*Gu1[66] + Gu2[48]; +Gu3[49] = + Q11[96]*Gu1[1] + Q11[97]*Gu1[7] + Q11[98]*Gu1[13] + Q11[99]*Gu1[19] + Q11[100]*Gu1[25] + Q11[101]*Gu1[31] + Q11[102]*Gu1[37] + Q11[103]*Gu1[43] + Q11[104]*Gu1[49] + Q11[105]*Gu1[55] + Q11[106]*Gu1[61] + Q11[107]*Gu1[67] + Gu2[49]; +Gu3[50] = + Q11[96]*Gu1[2] + Q11[97]*Gu1[8] + Q11[98]*Gu1[14] + Q11[99]*Gu1[20] + Q11[100]*Gu1[26] + Q11[101]*Gu1[32] + Q11[102]*Gu1[38] + Q11[103]*Gu1[44] + Q11[104]*Gu1[50] + Q11[105]*Gu1[56] + Q11[106]*Gu1[62] + Q11[107]*Gu1[68] + Gu2[50]; +Gu3[51] = + Q11[96]*Gu1[3] + Q11[97]*Gu1[9] + Q11[98]*Gu1[15] + Q11[99]*Gu1[21] + Q11[100]*Gu1[27] + Q11[101]*Gu1[33] + Q11[102]*Gu1[39] + Q11[103]*Gu1[45] + Q11[104]*Gu1[51] + Q11[105]*Gu1[57] + Q11[106]*Gu1[63] + Q11[107]*Gu1[69] + Gu2[51]; +Gu3[52] = + Q11[96]*Gu1[4] + Q11[97]*Gu1[10] + Q11[98]*Gu1[16] + Q11[99]*Gu1[22] + Q11[100]*Gu1[28] + Q11[101]*Gu1[34] + Q11[102]*Gu1[40] + Q11[103]*Gu1[46] + Q11[104]*Gu1[52] + Q11[105]*Gu1[58] + Q11[106]*Gu1[64] + Q11[107]*Gu1[70] + Gu2[52]; +Gu3[53] = + Q11[96]*Gu1[5] + Q11[97]*Gu1[11] + Q11[98]*Gu1[17] + Q11[99]*Gu1[23] + Q11[100]*Gu1[29] + Q11[101]*Gu1[35] + Q11[102]*Gu1[41] + Q11[103]*Gu1[47] + Q11[104]*Gu1[53] + Q11[105]*Gu1[59] + Q11[106]*Gu1[65] + Q11[107]*Gu1[71] + Gu2[53]; +Gu3[54] = + Q11[108]*Gu1[0] + Q11[109]*Gu1[6] + Q11[110]*Gu1[12] + Q11[111]*Gu1[18] + Q11[112]*Gu1[24] + Q11[113]*Gu1[30] + Q11[114]*Gu1[36] + Q11[115]*Gu1[42] + Q11[116]*Gu1[48] + Q11[117]*Gu1[54] + Q11[118]*Gu1[60] + Q11[119]*Gu1[66] + Gu2[54]; +Gu3[55] = + Q11[108]*Gu1[1] + Q11[109]*Gu1[7] + Q11[110]*Gu1[13] + Q11[111]*Gu1[19] + Q11[112]*Gu1[25] + Q11[113]*Gu1[31] + Q11[114]*Gu1[37] + Q11[115]*Gu1[43] + Q11[116]*Gu1[49] + Q11[117]*Gu1[55] + Q11[118]*Gu1[61] + Q11[119]*Gu1[67] + Gu2[55]; +Gu3[56] = + Q11[108]*Gu1[2] + Q11[109]*Gu1[8] + Q11[110]*Gu1[14] + Q11[111]*Gu1[20] + Q11[112]*Gu1[26] + Q11[113]*Gu1[32] + Q11[114]*Gu1[38] + Q11[115]*Gu1[44] + Q11[116]*Gu1[50] + Q11[117]*Gu1[56] + Q11[118]*Gu1[62] + Q11[119]*Gu1[68] + Gu2[56]; +Gu3[57] = + Q11[108]*Gu1[3] + Q11[109]*Gu1[9] + Q11[110]*Gu1[15] + Q11[111]*Gu1[21] + Q11[112]*Gu1[27] + Q11[113]*Gu1[33] + Q11[114]*Gu1[39] + Q11[115]*Gu1[45] + Q11[116]*Gu1[51] + Q11[117]*Gu1[57] + Q11[118]*Gu1[63] + Q11[119]*Gu1[69] + Gu2[57]; +Gu3[58] = + Q11[108]*Gu1[4] + Q11[109]*Gu1[10] + Q11[110]*Gu1[16] + Q11[111]*Gu1[22] + Q11[112]*Gu1[28] + Q11[113]*Gu1[34] + Q11[114]*Gu1[40] + Q11[115]*Gu1[46] + Q11[116]*Gu1[52] + Q11[117]*Gu1[58] + Q11[118]*Gu1[64] + Q11[119]*Gu1[70] + Gu2[58]; +Gu3[59] = + Q11[108]*Gu1[5] + Q11[109]*Gu1[11] + Q11[110]*Gu1[17] + Q11[111]*Gu1[23] + Q11[112]*Gu1[29] + Q11[113]*Gu1[35] + Q11[114]*Gu1[41] + Q11[115]*Gu1[47] + Q11[116]*Gu1[53] + Q11[117]*Gu1[59] + Q11[118]*Gu1[65] + Q11[119]*Gu1[71] + Gu2[59]; +Gu3[60] = + Q11[120]*Gu1[0] + Q11[121]*Gu1[6] + Q11[122]*Gu1[12] + Q11[123]*Gu1[18] + Q11[124]*Gu1[24] + Q11[125]*Gu1[30] + Q11[126]*Gu1[36] + Q11[127]*Gu1[42] + Q11[128]*Gu1[48] + Q11[129]*Gu1[54] + Q11[130]*Gu1[60] + Q11[131]*Gu1[66] + Gu2[60]; +Gu3[61] = + Q11[120]*Gu1[1] + Q11[121]*Gu1[7] + Q11[122]*Gu1[13] + Q11[123]*Gu1[19] + Q11[124]*Gu1[25] + Q11[125]*Gu1[31] + Q11[126]*Gu1[37] + Q11[127]*Gu1[43] + Q11[128]*Gu1[49] + Q11[129]*Gu1[55] + Q11[130]*Gu1[61] + Q11[131]*Gu1[67] + Gu2[61]; +Gu3[62] = + Q11[120]*Gu1[2] + Q11[121]*Gu1[8] + Q11[122]*Gu1[14] + Q11[123]*Gu1[20] + Q11[124]*Gu1[26] + Q11[125]*Gu1[32] + Q11[126]*Gu1[38] + Q11[127]*Gu1[44] + Q11[128]*Gu1[50] + Q11[129]*Gu1[56] + Q11[130]*Gu1[62] + Q11[131]*Gu1[68] + Gu2[62]; +Gu3[63] = + Q11[120]*Gu1[3] + Q11[121]*Gu1[9] + Q11[122]*Gu1[15] + Q11[123]*Gu1[21] + Q11[124]*Gu1[27] + Q11[125]*Gu1[33] + Q11[126]*Gu1[39] + Q11[127]*Gu1[45] + Q11[128]*Gu1[51] + Q11[129]*Gu1[57] + Q11[130]*Gu1[63] + Q11[131]*Gu1[69] + Gu2[63]; +Gu3[64] = + Q11[120]*Gu1[4] + Q11[121]*Gu1[10] + Q11[122]*Gu1[16] + Q11[123]*Gu1[22] + Q11[124]*Gu1[28] + Q11[125]*Gu1[34] + Q11[126]*Gu1[40] + Q11[127]*Gu1[46] + Q11[128]*Gu1[52] + Q11[129]*Gu1[58] + Q11[130]*Gu1[64] + Q11[131]*Gu1[70] + Gu2[64]; +Gu3[65] = + Q11[120]*Gu1[5] + Q11[121]*Gu1[11] + Q11[122]*Gu1[17] + Q11[123]*Gu1[23] + Q11[124]*Gu1[29] + Q11[125]*Gu1[35] + Q11[126]*Gu1[41] + Q11[127]*Gu1[47] + Q11[128]*Gu1[53] + Q11[129]*Gu1[59] + Q11[130]*Gu1[65] + Q11[131]*Gu1[71] + Gu2[65]; +Gu3[66] = + Q11[132]*Gu1[0] + Q11[133]*Gu1[6] + Q11[134]*Gu1[12] + Q11[135]*Gu1[18] + Q11[136]*Gu1[24] + Q11[137]*Gu1[30] + Q11[138]*Gu1[36] + Q11[139]*Gu1[42] + Q11[140]*Gu1[48] + Q11[141]*Gu1[54] + Q11[142]*Gu1[60] + Q11[143]*Gu1[66] + Gu2[66]; +Gu3[67] = + Q11[132]*Gu1[1] + Q11[133]*Gu1[7] + Q11[134]*Gu1[13] + Q11[135]*Gu1[19] + Q11[136]*Gu1[25] + Q11[137]*Gu1[31] + Q11[138]*Gu1[37] + Q11[139]*Gu1[43] + Q11[140]*Gu1[49] + Q11[141]*Gu1[55] + Q11[142]*Gu1[61] + Q11[143]*Gu1[67] + Gu2[67]; +Gu3[68] = + Q11[132]*Gu1[2] + Q11[133]*Gu1[8] + Q11[134]*Gu1[14] + Q11[135]*Gu1[20] + Q11[136]*Gu1[26] + Q11[137]*Gu1[32] + Q11[138]*Gu1[38] + Q11[139]*Gu1[44] + Q11[140]*Gu1[50] + Q11[141]*Gu1[56] + Q11[142]*Gu1[62] + Q11[143]*Gu1[68] + Gu2[68]; +Gu3[69] = + Q11[132]*Gu1[3] + Q11[133]*Gu1[9] + Q11[134]*Gu1[15] + Q11[135]*Gu1[21] + Q11[136]*Gu1[27] + Q11[137]*Gu1[33] + Q11[138]*Gu1[39] + Q11[139]*Gu1[45] + Q11[140]*Gu1[51] + Q11[141]*Gu1[57] + Q11[142]*Gu1[63] + Q11[143]*Gu1[69] + Gu2[69]; +Gu3[70] = + Q11[132]*Gu1[4] + Q11[133]*Gu1[10] + Q11[134]*Gu1[16] + Q11[135]*Gu1[22] + Q11[136]*Gu1[28] + Q11[137]*Gu1[34] + Q11[138]*Gu1[40] + Q11[139]*Gu1[46] + Q11[140]*Gu1[52] + Q11[141]*Gu1[58] + Q11[142]*Gu1[64] + Q11[143]*Gu1[70] + Gu2[70]; +Gu3[71] = + Q11[132]*Gu1[5] + Q11[133]*Gu1[11] + Q11[134]*Gu1[17] + Q11[135]*Gu1[23] + Q11[136]*Gu1[29] + Q11[137]*Gu1[35] + Q11[138]*Gu1[41] + Q11[139]*Gu1[47] + Q11[140]*Gu1[53] + Q11[141]*Gu1[59] + Q11[142]*Gu1[65] + Q11[143]*Gu1[71] + Gu2[71]; } void acado_macATw1QDy( real_t* const Gx1, real_t* const w11, real_t* const w12, real_t* const w13 ) @@ -1294,10 +1552,12 @@ w13[11] = + Gx1[11]*w11[0] + Gx1[23]*w11[1] + Gx1[35]*w11[2] + Gx1[47]*w11[3] + void acado_macBTw1( real_t* const Gu1, real_t* const w11, real_t* const U1 ) { -U1[0] += + Gu1[0]*w11[0] + Gu1[4]*w11[1] + Gu1[8]*w11[2] + Gu1[12]*w11[3] + Gu1[16]*w11[4] + Gu1[20]*w11[5] + Gu1[24]*w11[6] + Gu1[28]*w11[7] + Gu1[32]*w11[8] + Gu1[36]*w11[9] + Gu1[40]*w11[10] + Gu1[44]*w11[11]; -U1[1] += + Gu1[1]*w11[0] + Gu1[5]*w11[1] + Gu1[9]*w11[2] + Gu1[13]*w11[3] + Gu1[17]*w11[4] + Gu1[21]*w11[5] + Gu1[25]*w11[6] + Gu1[29]*w11[7] + Gu1[33]*w11[8] + Gu1[37]*w11[9] + Gu1[41]*w11[10] + Gu1[45]*w11[11]; -U1[2] += + Gu1[2]*w11[0] + Gu1[6]*w11[1] + Gu1[10]*w11[2] + Gu1[14]*w11[3] + Gu1[18]*w11[4] + Gu1[22]*w11[5] + Gu1[26]*w11[6] + Gu1[30]*w11[7] + Gu1[34]*w11[8] + Gu1[38]*w11[9] + Gu1[42]*w11[10] + Gu1[46]*w11[11]; -U1[3] += + Gu1[3]*w11[0] + Gu1[7]*w11[1] + Gu1[11]*w11[2] + Gu1[15]*w11[3] + Gu1[19]*w11[4] + Gu1[23]*w11[5] + Gu1[27]*w11[6] + Gu1[31]*w11[7] + Gu1[35]*w11[8] + Gu1[39]*w11[9] + Gu1[43]*w11[10] + Gu1[47]*w11[11]; +U1[0] += + Gu1[0]*w11[0] + Gu1[6]*w11[1] + Gu1[12]*w11[2] + Gu1[18]*w11[3] + Gu1[24]*w11[4] + Gu1[30]*w11[5] + Gu1[36]*w11[6] + Gu1[42]*w11[7] + Gu1[48]*w11[8] + Gu1[54]*w11[9] + Gu1[60]*w11[10] + Gu1[66]*w11[11]; +U1[1] += + Gu1[1]*w11[0] + Gu1[7]*w11[1] + Gu1[13]*w11[2] + Gu1[19]*w11[3] + Gu1[25]*w11[4] + Gu1[31]*w11[5] + Gu1[37]*w11[6] + Gu1[43]*w11[7] + Gu1[49]*w11[8] + Gu1[55]*w11[9] + Gu1[61]*w11[10] + Gu1[67]*w11[11]; +U1[2] += + Gu1[2]*w11[0] + Gu1[8]*w11[1] + Gu1[14]*w11[2] + Gu1[20]*w11[3] + Gu1[26]*w11[4] + Gu1[32]*w11[5] + Gu1[38]*w11[6] + Gu1[44]*w11[7] + Gu1[50]*w11[8] + Gu1[56]*w11[9] + Gu1[62]*w11[10] + Gu1[68]*w11[11]; +U1[3] += + Gu1[3]*w11[0] + Gu1[9]*w11[1] + Gu1[15]*w11[2] + Gu1[21]*w11[3] + Gu1[27]*w11[4] + Gu1[33]*w11[5] + Gu1[39]*w11[6] + Gu1[45]*w11[7] + Gu1[51]*w11[8] + Gu1[57]*w11[9] + Gu1[63]*w11[10] + Gu1[69]*w11[11]; +U1[4] += + Gu1[4]*w11[0] + Gu1[10]*w11[1] + Gu1[16]*w11[2] + Gu1[22]*w11[3] + Gu1[28]*w11[4] + Gu1[34]*w11[5] + Gu1[40]*w11[6] + Gu1[46]*w11[7] + Gu1[52]*w11[8] + Gu1[58]*w11[9] + Gu1[64]*w11[10] + Gu1[70]*w11[11]; +U1[5] += + Gu1[5]*w11[0] + Gu1[11]*w11[1] + Gu1[17]*w11[2] + Gu1[23]*w11[3] + Gu1[29]*w11[4] + Gu1[35]*w11[5] + Gu1[41]*w11[6] + Gu1[47]*w11[7] + Gu1[53]*w11[8] + Gu1[59]*w11[9] + Gu1[65]*w11[10] + Gu1[71]*w11[11]; } void acado_macQSbarW2( real_t* const Q11, real_t* const w11, real_t* const w12, real_t* const w13 ) @@ -1346,62 +1606,84 @@ w12[8] += + Gx1[96]*w11[0] + Gx1[97]*w11[1] + Gx1[98]*w11[2] + Gx1[99]*w11[3] + w12[9] += + Gx1[108]*w11[0] + Gx1[109]*w11[1] + Gx1[110]*w11[2] + Gx1[111]*w11[3] + Gx1[112]*w11[4] + Gx1[113]*w11[5] + Gx1[114]*w11[6] + Gx1[115]*w11[7] + Gx1[116]*w11[8] + Gx1[117]*w11[9] + Gx1[118]*w11[10] + Gx1[119]*w11[11]; w12[10] += + Gx1[120]*w11[0] + Gx1[121]*w11[1] + Gx1[122]*w11[2] + Gx1[123]*w11[3] + Gx1[124]*w11[4] + Gx1[125]*w11[5] + Gx1[126]*w11[6] + Gx1[127]*w11[7] + Gx1[128]*w11[8] + Gx1[129]*w11[9] + Gx1[130]*w11[10] + Gx1[131]*w11[11]; w12[11] += + Gx1[132]*w11[0] + Gx1[133]*w11[1] + Gx1[134]*w11[2] + Gx1[135]*w11[3] + Gx1[136]*w11[4] + Gx1[137]*w11[5] + Gx1[138]*w11[6] + Gx1[139]*w11[7] + Gx1[140]*w11[8] + Gx1[141]*w11[9] + Gx1[142]*w11[10] + Gx1[143]*w11[11]; -w12[0] += + Gu1[0]*U1[0] + Gu1[1]*U1[1] + Gu1[2]*U1[2] + Gu1[3]*U1[3]; -w12[1] += + Gu1[4]*U1[0] + Gu1[5]*U1[1] + Gu1[6]*U1[2] + Gu1[7]*U1[3]; -w12[2] += + Gu1[8]*U1[0] + Gu1[9]*U1[1] + Gu1[10]*U1[2] + Gu1[11]*U1[3]; -w12[3] += + Gu1[12]*U1[0] + Gu1[13]*U1[1] + Gu1[14]*U1[2] + Gu1[15]*U1[3]; -w12[4] += + Gu1[16]*U1[0] + Gu1[17]*U1[1] + Gu1[18]*U1[2] + Gu1[19]*U1[3]; -w12[5] += + Gu1[20]*U1[0] + Gu1[21]*U1[1] + Gu1[22]*U1[2] + Gu1[23]*U1[3]; -w12[6] += + Gu1[24]*U1[0] + Gu1[25]*U1[1] + Gu1[26]*U1[2] + Gu1[27]*U1[3]; -w12[7] += + Gu1[28]*U1[0] + Gu1[29]*U1[1] + Gu1[30]*U1[2] + Gu1[31]*U1[3]; -w12[8] += + Gu1[32]*U1[0] + Gu1[33]*U1[1] + Gu1[34]*U1[2] + Gu1[35]*U1[3]; -w12[9] += + Gu1[36]*U1[0] + Gu1[37]*U1[1] + Gu1[38]*U1[2] + Gu1[39]*U1[3]; -w12[10] += + Gu1[40]*U1[0] + Gu1[41]*U1[1] + Gu1[42]*U1[2] + Gu1[43]*U1[3]; -w12[11] += + Gu1[44]*U1[0] + Gu1[45]*U1[1] + Gu1[46]*U1[2] + Gu1[47]*U1[3]; +w12[0] += + Gu1[0]*U1[0] + Gu1[1]*U1[1] + Gu1[2]*U1[2] + Gu1[3]*U1[3] + Gu1[4]*U1[4] + Gu1[5]*U1[5]; +w12[1] += + Gu1[6]*U1[0] + Gu1[7]*U1[1] + Gu1[8]*U1[2] + Gu1[9]*U1[3] + Gu1[10]*U1[4] + Gu1[11]*U1[5]; +w12[2] += + Gu1[12]*U1[0] + Gu1[13]*U1[1] + Gu1[14]*U1[2] + Gu1[15]*U1[3] + Gu1[16]*U1[4] + Gu1[17]*U1[5]; +w12[3] += + Gu1[18]*U1[0] + Gu1[19]*U1[1] + Gu1[20]*U1[2] + Gu1[21]*U1[3] + Gu1[22]*U1[4] + Gu1[23]*U1[5]; +w12[4] += + Gu1[24]*U1[0] + Gu1[25]*U1[1] + Gu1[26]*U1[2] + Gu1[27]*U1[3] + Gu1[28]*U1[4] + Gu1[29]*U1[5]; +w12[5] += + Gu1[30]*U1[0] + Gu1[31]*U1[1] + Gu1[32]*U1[2] + Gu1[33]*U1[3] + Gu1[34]*U1[4] + Gu1[35]*U1[5]; +w12[6] += + Gu1[36]*U1[0] + Gu1[37]*U1[1] + Gu1[38]*U1[2] + Gu1[39]*U1[3] + Gu1[40]*U1[4] + Gu1[41]*U1[5]; +w12[7] += + Gu1[42]*U1[0] + Gu1[43]*U1[1] + Gu1[44]*U1[2] + Gu1[45]*U1[3] + Gu1[46]*U1[4] + Gu1[47]*U1[5]; +w12[8] += + Gu1[48]*U1[0] + Gu1[49]*U1[1] + Gu1[50]*U1[2] + Gu1[51]*U1[3] + Gu1[52]*U1[4] + Gu1[53]*U1[5]; +w12[9] += + Gu1[54]*U1[0] + Gu1[55]*U1[1] + Gu1[56]*U1[2] + Gu1[57]*U1[3] + Gu1[58]*U1[4] + Gu1[59]*U1[5]; +w12[10] += + Gu1[60]*U1[0] + Gu1[61]*U1[1] + Gu1[62]*U1[2] + Gu1[63]*U1[3] + Gu1[64]*U1[4] + Gu1[65]*U1[5]; +w12[11] += + Gu1[66]*U1[0] + Gu1[67]*U1[1] + Gu1[68]*U1[2] + Gu1[69]*U1[3] + Gu1[70]*U1[4] + Gu1[71]*U1[5]; } void acado_copyHTH( int iRow, int iCol ) { -acadoWorkspace.H[(iRow * 320) + (iCol * 4)] = acadoWorkspace.H[(iCol * 320) + (iRow * 4)]; -acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 1)] = acadoWorkspace.H[(iCol * 320 + 80) + (iRow * 4)]; -acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 2)] = acadoWorkspace.H[(iCol * 320 + 160) + (iRow * 4)]; -acadoWorkspace.H[(iRow * 320) + (iCol * 4 + 3)] = acadoWorkspace.H[(iCol * 320 + 240) + (iRow * 4)]; -acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4)] = acadoWorkspace.H[(iCol * 320) + (iRow * 4 + 1)]; -acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 1)] = acadoWorkspace.H[(iCol * 320 + 80) + (iRow * 4 + 1)]; -acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 2)] = acadoWorkspace.H[(iCol * 320 + 160) + (iRow * 4 + 1)]; -acadoWorkspace.H[(iRow * 320 + 80) + (iCol * 4 + 3)] = acadoWorkspace.H[(iCol * 320 + 240) + (iRow * 4 + 1)]; -acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4)] = acadoWorkspace.H[(iCol * 320) + (iRow * 4 + 2)]; -acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 1)] = acadoWorkspace.H[(iCol * 320 + 80) + (iRow * 4 + 2)]; -acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 2)] = acadoWorkspace.H[(iCol * 320 + 160) + (iRow * 4 + 2)]; -acadoWorkspace.H[(iRow * 320 + 160) + (iCol * 4 + 3)] = acadoWorkspace.H[(iCol * 320 + 240) + (iRow * 4 + 2)]; -acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4)] = acadoWorkspace.H[(iCol * 320) + (iRow * 4 + 3)]; -acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 1)] = acadoWorkspace.H[(iCol * 320 + 80) + (iRow * 4 + 3)]; -acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 2)] = acadoWorkspace.H[(iCol * 320 + 160) + (iRow * 4 + 3)]; -acadoWorkspace.H[(iRow * 320 + 240) + (iCol * 4 + 3)] = acadoWorkspace.H[(iCol * 320 + 240) + (iRow * 4 + 3)]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6)] = acadoWorkspace.H[(iCol * 720) + (iRow * 6)]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 1)] = acadoWorkspace.H[(iCol * 720 + 120) + (iRow * 6)]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 2)] = acadoWorkspace.H[(iCol * 720 + 240) + (iRow * 6)]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 3)] = acadoWorkspace.H[(iCol * 720 + 360) + (iRow * 6)]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 4)] = acadoWorkspace.H[(iCol * 720 + 480) + (iRow * 6)]; +acadoWorkspace.H[(iRow * 720) + (iCol * 6 + 5)] = acadoWorkspace.H[(iCol * 720 + 600) + (iRow * 6)]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6)] = acadoWorkspace.H[(iCol * 720) + (iRow * 6 + 1)]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 1)] = acadoWorkspace.H[(iCol * 720 + 120) + (iRow * 6 + 1)]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 2)] = acadoWorkspace.H[(iCol * 720 + 240) + (iRow * 6 + 1)]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 3)] = acadoWorkspace.H[(iCol * 720 + 360) + (iRow * 6 + 1)]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 4)] = acadoWorkspace.H[(iCol * 720 + 480) + (iRow * 6 + 1)]; +acadoWorkspace.H[(iRow * 720 + 120) + (iCol * 6 + 5)] = acadoWorkspace.H[(iCol * 720 + 600) + (iRow * 6 + 1)]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6)] = acadoWorkspace.H[(iCol * 720) + (iRow * 6 + 2)]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 1)] = acadoWorkspace.H[(iCol * 720 + 120) + (iRow * 6 + 2)]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 2)] = acadoWorkspace.H[(iCol * 720 + 240) + (iRow * 6 + 2)]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 3)] = acadoWorkspace.H[(iCol * 720 + 360) + (iRow * 6 + 2)]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 4)] = acadoWorkspace.H[(iCol * 720 + 480) + (iRow * 6 + 2)]; +acadoWorkspace.H[(iRow * 720 + 240) + (iCol * 6 + 5)] = acadoWorkspace.H[(iCol * 720 + 600) + (iRow * 6 + 2)]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6)] = acadoWorkspace.H[(iCol * 720) + (iRow * 6 + 3)]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 1)] = acadoWorkspace.H[(iCol * 720 + 120) + (iRow * 6 + 3)]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 2)] = acadoWorkspace.H[(iCol * 720 + 240) + (iRow * 6 + 3)]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 3)] = acadoWorkspace.H[(iCol * 720 + 360) + (iRow * 6 + 3)]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 4)] = acadoWorkspace.H[(iCol * 720 + 480) + (iRow * 6 + 3)]; +acadoWorkspace.H[(iRow * 720 + 360) + (iCol * 6 + 5)] = acadoWorkspace.H[(iCol * 720 + 600) + (iRow * 6 + 3)]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6)] = acadoWorkspace.H[(iCol * 720) + (iRow * 6 + 4)]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 1)] = acadoWorkspace.H[(iCol * 720 + 120) + (iRow * 6 + 4)]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 2)] = acadoWorkspace.H[(iCol * 720 + 240) + (iRow * 6 + 4)]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 3)] = acadoWorkspace.H[(iCol * 720 + 360) + (iRow * 6 + 4)]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 4)] = acadoWorkspace.H[(iCol * 720 + 480) + (iRow * 6 + 4)]; +acadoWorkspace.H[(iRow * 720 + 480) + (iCol * 6 + 5)] = acadoWorkspace.H[(iCol * 720 + 600) + (iRow * 6 + 4)]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6)] = acadoWorkspace.H[(iCol * 720) + (iRow * 6 + 5)]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 1)] = acadoWorkspace.H[(iCol * 720 + 120) + (iRow * 6 + 5)]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 2)] = acadoWorkspace.H[(iCol * 720 + 240) + (iRow * 6 + 5)]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 3)] = acadoWorkspace.H[(iCol * 720 + 360) + (iRow * 6 + 5)]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 4)] = acadoWorkspace.H[(iCol * 720 + 480) + (iRow * 6 + 5)]; +acadoWorkspace.H[(iRow * 720 + 600) + (iCol * 6 + 5)] = acadoWorkspace.H[(iCol * 720 + 600) + (iRow * 6 + 5)]; } void acado_multRDy( real_t* const R2, real_t* const Dy1, real_t* const RDy1 ) { -RDy1[0] = + R2[0]*Dy1[0] + R2[1]*Dy1[1] + R2[2]*Dy1[2] + R2[3]*Dy1[3] + R2[4]*Dy1[4] + R2[5]*Dy1[5] + R2[6]*Dy1[6] + R2[7]*Dy1[7] + R2[8]*Dy1[8] + R2[9]*Dy1[9] + R2[10]*Dy1[10] + R2[11]*Dy1[11] + R2[12]*Dy1[12] + R2[13]*Dy1[13] + R2[14]*Dy1[14] + R2[15]*Dy1[15]; -RDy1[1] = + R2[16]*Dy1[0] + R2[17]*Dy1[1] + R2[18]*Dy1[2] + R2[19]*Dy1[3] + R2[20]*Dy1[4] + R2[21]*Dy1[5] + R2[22]*Dy1[6] + R2[23]*Dy1[7] + R2[24]*Dy1[8] + R2[25]*Dy1[9] + R2[26]*Dy1[10] + R2[27]*Dy1[11] + R2[28]*Dy1[12] + R2[29]*Dy1[13] + R2[30]*Dy1[14] + R2[31]*Dy1[15]; -RDy1[2] = + R2[32]*Dy1[0] + R2[33]*Dy1[1] + R2[34]*Dy1[2] + R2[35]*Dy1[3] + R2[36]*Dy1[4] + R2[37]*Dy1[5] + R2[38]*Dy1[6] + R2[39]*Dy1[7] + R2[40]*Dy1[8] + R2[41]*Dy1[9] + R2[42]*Dy1[10] + R2[43]*Dy1[11] + R2[44]*Dy1[12] + R2[45]*Dy1[13] + R2[46]*Dy1[14] + R2[47]*Dy1[15]; -RDy1[3] = + R2[48]*Dy1[0] + R2[49]*Dy1[1] + R2[50]*Dy1[2] + R2[51]*Dy1[3] + R2[52]*Dy1[4] + R2[53]*Dy1[5] + R2[54]*Dy1[6] + R2[55]*Dy1[7] + R2[56]*Dy1[8] + R2[57]*Dy1[9] + R2[58]*Dy1[10] + R2[59]*Dy1[11] + R2[60]*Dy1[12] + R2[61]*Dy1[13] + R2[62]*Dy1[14] + R2[63]*Dy1[15]; +RDy1[0] = + R2[0]*Dy1[0] + R2[1]*Dy1[1] + R2[2]*Dy1[2] + R2[3]*Dy1[3] + R2[4]*Dy1[4] + R2[5]*Dy1[5] + R2[6]*Dy1[6] + R2[7]*Dy1[7] + R2[8]*Dy1[8] + R2[9]*Dy1[9] + R2[10]*Dy1[10] + R2[11]*Dy1[11] + R2[12]*Dy1[12] + R2[13]*Dy1[13] + R2[14]*Dy1[14] + R2[15]*Dy1[15] + R2[16]*Dy1[16] + R2[17]*Dy1[17]; +RDy1[1] = + R2[18]*Dy1[0] + R2[19]*Dy1[1] + R2[20]*Dy1[2] + R2[21]*Dy1[3] + R2[22]*Dy1[4] + R2[23]*Dy1[5] + R2[24]*Dy1[6] + R2[25]*Dy1[7] + R2[26]*Dy1[8] + R2[27]*Dy1[9] + R2[28]*Dy1[10] + R2[29]*Dy1[11] + R2[30]*Dy1[12] + R2[31]*Dy1[13] + R2[32]*Dy1[14] + R2[33]*Dy1[15] + R2[34]*Dy1[16] + R2[35]*Dy1[17]; +RDy1[2] = + R2[36]*Dy1[0] + R2[37]*Dy1[1] + R2[38]*Dy1[2] + R2[39]*Dy1[3] + R2[40]*Dy1[4] + R2[41]*Dy1[5] + R2[42]*Dy1[6] + R2[43]*Dy1[7] + R2[44]*Dy1[8] + R2[45]*Dy1[9] + R2[46]*Dy1[10] + R2[47]*Dy1[11] + R2[48]*Dy1[12] + R2[49]*Dy1[13] + R2[50]*Dy1[14] + R2[51]*Dy1[15] + R2[52]*Dy1[16] + R2[53]*Dy1[17]; +RDy1[3] = + R2[54]*Dy1[0] + R2[55]*Dy1[1] + R2[56]*Dy1[2] + R2[57]*Dy1[3] + R2[58]*Dy1[4] + R2[59]*Dy1[5] + R2[60]*Dy1[6] + R2[61]*Dy1[7] + R2[62]*Dy1[8] + R2[63]*Dy1[9] + R2[64]*Dy1[10] + R2[65]*Dy1[11] + R2[66]*Dy1[12] + R2[67]*Dy1[13] + R2[68]*Dy1[14] + R2[69]*Dy1[15] + R2[70]*Dy1[16] + R2[71]*Dy1[17]; +RDy1[4] = + R2[72]*Dy1[0] + R2[73]*Dy1[1] + R2[74]*Dy1[2] + R2[75]*Dy1[3] + R2[76]*Dy1[4] + R2[77]*Dy1[5] + R2[78]*Dy1[6] + R2[79]*Dy1[7] + R2[80]*Dy1[8] + R2[81]*Dy1[9] + R2[82]*Dy1[10] + R2[83]*Dy1[11] + R2[84]*Dy1[12] + R2[85]*Dy1[13] + R2[86]*Dy1[14] + R2[87]*Dy1[15] + R2[88]*Dy1[16] + R2[89]*Dy1[17]; +RDy1[5] = + R2[90]*Dy1[0] + R2[91]*Dy1[1] + R2[92]*Dy1[2] + R2[93]*Dy1[3] + R2[94]*Dy1[4] + R2[95]*Dy1[5] + R2[96]*Dy1[6] + R2[97]*Dy1[7] + R2[98]*Dy1[8] + R2[99]*Dy1[9] + R2[100]*Dy1[10] + R2[101]*Dy1[11] + R2[102]*Dy1[12] + R2[103]*Dy1[13] + R2[104]*Dy1[14] + R2[105]*Dy1[15] + R2[106]*Dy1[16] + R2[107]*Dy1[17]; } void acado_multQDy( real_t* const Q2, real_t* const Dy1, real_t* const QDy1 ) { -QDy1[0] = + Q2[0]*Dy1[0] + Q2[1]*Dy1[1] + Q2[2]*Dy1[2] + Q2[3]*Dy1[3] + Q2[4]*Dy1[4] + Q2[5]*Dy1[5] + Q2[6]*Dy1[6] + Q2[7]*Dy1[7] + Q2[8]*Dy1[8] + Q2[9]*Dy1[9] + Q2[10]*Dy1[10] + Q2[11]*Dy1[11] + Q2[12]*Dy1[12] + Q2[13]*Dy1[13] + Q2[14]*Dy1[14] + Q2[15]*Dy1[15]; -QDy1[1] = + Q2[16]*Dy1[0] + Q2[17]*Dy1[1] + Q2[18]*Dy1[2] + Q2[19]*Dy1[3] + Q2[20]*Dy1[4] + Q2[21]*Dy1[5] + Q2[22]*Dy1[6] + Q2[23]*Dy1[7] + Q2[24]*Dy1[8] + Q2[25]*Dy1[9] + Q2[26]*Dy1[10] + Q2[27]*Dy1[11] + Q2[28]*Dy1[12] + Q2[29]*Dy1[13] + Q2[30]*Dy1[14] + Q2[31]*Dy1[15]; -QDy1[2] = + Q2[32]*Dy1[0] + Q2[33]*Dy1[1] + Q2[34]*Dy1[2] + Q2[35]*Dy1[3] + Q2[36]*Dy1[4] + Q2[37]*Dy1[5] + Q2[38]*Dy1[6] + Q2[39]*Dy1[7] + Q2[40]*Dy1[8] + Q2[41]*Dy1[9] + Q2[42]*Dy1[10] + Q2[43]*Dy1[11] + Q2[44]*Dy1[12] + Q2[45]*Dy1[13] + Q2[46]*Dy1[14] + Q2[47]*Dy1[15]; -QDy1[3] = + Q2[48]*Dy1[0] + Q2[49]*Dy1[1] + Q2[50]*Dy1[2] + Q2[51]*Dy1[3] + Q2[52]*Dy1[4] + Q2[53]*Dy1[5] + Q2[54]*Dy1[6] + Q2[55]*Dy1[7] + Q2[56]*Dy1[8] + Q2[57]*Dy1[9] + Q2[58]*Dy1[10] + Q2[59]*Dy1[11] + Q2[60]*Dy1[12] + Q2[61]*Dy1[13] + Q2[62]*Dy1[14] + Q2[63]*Dy1[15]; -QDy1[4] = + Q2[64]*Dy1[0] + Q2[65]*Dy1[1] + Q2[66]*Dy1[2] + Q2[67]*Dy1[3] + Q2[68]*Dy1[4] + Q2[69]*Dy1[5] + Q2[70]*Dy1[6] + Q2[71]*Dy1[7] + Q2[72]*Dy1[8] + Q2[73]*Dy1[9] + Q2[74]*Dy1[10] + Q2[75]*Dy1[11] + Q2[76]*Dy1[12] + Q2[77]*Dy1[13] + Q2[78]*Dy1[14] + Q2[79]*Dy1[15]; -QDy1[5] = + Q2[80]*Dy1[0] + Q2[81]*Dy1[1] + Q2[82]*Dy1[2] + Q2[83]*Dy1[3] + Q2[84]*Dy1[4] + Q2[85]*Dy1[5] + Q2[86]*Dy1[6] + Q2[87]*Dy1[7] + Q2[88]*Dy1[8] + Q2[89]*Dy1[9] + Q2[90]*Dy1[10] + Q2[91]*Dy1[11] + Q2[92]*Dy1[12] + Q2[93]*Dy1[13] + Q2[94]*Dy1[14] + Q2[95]*Dy1[15]; -QDy1[6] = + Q2[96]*Dy1[0] + Q2[97]*Dy1[1] + Q2[98]*Dy1[2] + Q2[99]*Dy1[3] + Q2[100]*Dy1[4] + Q2[101]*Dy1[5] + Q2[102]*Dy1[6] + Q2[103]*Dy1[7] + Q2[104]*Dy1[8] + Q2[105]*Dy1[9] + Q2[106]*Dy1[10] + Q2[107]*Dy1[11] + Q2[108]*Dy1[12] + Q2[109]*Dy1[13] + Q2[110]*Dy1[14] + Q2[111]*Dy1[15]; -QDy1[7] = + Q2[112]*Dy1[0] + Q2[113]*Dy1[1] + Q2[114]*Dy1[2] + Q2[115]*Dy1[3] + Q2[116]*Dy1[4] + Q2[117]*Dy1[5] + Q2[118]*Dy1[6] + Q2[119]*Dy1[7] + Q2[120]*Dy1[8] + Q2[121]*Dy1[9] + Q2[122]*Dy1[10] + Q2[123]*Dy1[11] + Q2[124]*Dy1[12] + Q2[125]*Dy1[13] + Q2[126]*Dy1[14] + Q2[127]*Dy1[15]; -QDy1[8] = + Q2[128]*Dy1[0] + Q2[129]*Dy1[1] + Q2[130]*Dy1[2] + Q2[131]*Dy1[3] + Q2[132]*Dy1[4] + Q2[133]*Dy1[5] + Q2[134]*Dy1[6] + Q2[135]*Dy1[7] + Q2[136]*Dy1[8] + Q2[137]*Dy1[9] + Q2[138]*Dy1[10] + Q2[139]*Dy1[11] + Q2[140]*Dy1[12] + Q2[141]*Dy1[13] + Q2[142]*Dy1[14] + Q2[143]*Dy1[15]; -QDy1[9] = + Q2[144]*Dy1[0] + Q2[145]*Dy1[1] + Q2[146]*Dy1[2] + Q2[147]*Dy1[3] + Q2[148]*Dy1[4] + Q2[149]*Dy1[5] + Q2[150]*Dy1[6] + Q2[151]*Dy1[7] + Q2[152]*Dy1[8] + Q2[153]*Dy1[9] + Q2[154]*Dy1[10] + Q2[155]*Dy1[11] + Q2[156]*Dy1[12] + Q2[157]*Dy1[13] + Q2[158]*Dy1[14] + Q2[159]*Dy1[15]; -QDy1[10] = + Q2[160]*Dy1[0] + Q2[161]*Dy1[1] + Q2[162]*Dy1[2] + Q2[163]*Dy1[3] + Q2[164]*Dy1[4] + Q2[165]*Dy1[5] + Q2[166]*Dy1[6] + Q2[167]*Dy1[7] + Q2[168]*Dy1[8] + Q2[169]*Dy1[9] + Q2[170]*Dy1[10] + Q2[171]*Dy1[11] + Q2[172]*Dy1[12] + Q2[173]*Dy1[13] + Q2[174]*Dy1[14] + Q2[175]*Dy1[15]; -QDy1[11] = + Q2[176]*Dy1[0] + Q2[177]*Dy1[1] + Q2[178]*Dy1[2] + Q2[179]*Dy1[3] + Q2[180]*Dy1[4] + Q2[181]*Dy1[5] + Q2[182]*Dy1[6] + Q2[183]*Dy1[7] + Q2[184]*Dy1[8] + Q2[185]*Dy1[9] + Q2[186]*Dy1[10] + Q2[187]*Dy1[11] + Q2[188]*Dy1[12] + Q2[189]*Dy1[13] + Q2[190]*Dy1[14] + Q2[191]*Dy1[15]; +QDy1[0] = + Q2[0]*Dy1[0] + Q2[1]*Dy1[1] + Q2[2]*Dy1[2] + Q2[3]*Dy1[3] + Q2[4]*Dy1[4] + Q2[5]*Dy1[5] + Q2[6]*Dy1[6] + Q2[7]*Dy1[7] + Q2[8]*Dy1[8] + Q2[9]*Dy1[9] + Q2[10]*Dy1[10] + Q2[11]*Dy1[11] + Q2[12]*Dy1[12] + Q2[13]*Dy1[13] + Q2[14]*Dy1[14] + Q2[15]*Dy1[15] + Q2[16]*Dy1[16] + Q2[17]*Dy1[17]; +QDy1[1] = + Q2[18]*Dy1[0] + Q2[19]*Dy1[1] + Q2[20]*Dy1[2] + Q2[21]*Dy1[3] + Q2[22]*Dy1[4] + Q2[23]*Dy1[5] + Q2[24]*Dy1[6] + Q2[25]*Dy1[7] + Q2[26]*Dy1[8] + Q2[27]*Dy1[9] + Q2[28]*Dy1[10] + Q2[29]*Dy1[11] + Q2[30]*Dy1[12] + Q2[31]*Dy1[13] + Q2[32]*Dy1[14] + Q2[33]*Dy1[15] + Q2[34]*Dy1[16] + Q2[35]*Dy1[17]; +QDy1[2] = + Q2[36]*Dy1[0] + Q2[37]*Dy1[1] + Q2[38]*Dy1[2] + Q2[39]*Dy1[3] + Q2[40]*Dy1[4] + Q2[41]*Dy1[5] + Q2[42]*Dy1[6] + Q2[43]*Dy1[7] + Q2[44]*Dy1[8] + Q2[45]*Dy1[9] + Q2[46]*Dy1[10] + Q2[47]*Dy1[11] + Q2[48]*Dy1[12] + Q2[49]*Dy1[13] + Q2[50]*Dy1[14] + Q2[51]*Dy1[15] + Q2[52]*Dy1[16] + Q2[53]*Dy1[17]; +QDy1[3] = + Q2[54]*Dy1[0] + Q2[55]*Dy1[1] + Q2[56]*Dy1[2] + Q2[57]*Dy1[3] + Q2[58]*Dy1[4] + Q2[59]*Dy1[5] + Q2[60]*Dy1[6] + Q2[61]*Dy1[7] + Q2[62]*Dy1[8] + Q2[63]*Dy1[9] + Q2[64]*Dy1[10] + Q2[65]*Dy1[11] + Q2[66]*Dy1[12] + Q2[67]*Dy1[13] + Q2[68]*Dy1[14] + Q2[69]*Dy1[15] + Q2[70]*Dy1[16] + Q2[71]*Dy1[17]; +QDy1[4] = + Q2[72]*Dy1[0] + Q2[73]*Dy1[1] + Q2[74]*Dy1[2] + Q2[75]*Dy1[3] + Q2[76]*Dy1[4] + Q2[77]*Dy1[5] + Q2[78]*Dy1[6] + Q2[79]*Dy1[7] + Q2[80]*Dy1[8] + Q2[81]*Dy1[9] + Q2[82]*Dy1[10] + Q2[83]*Dy1[11] + Q2[84]*Dy1[12] + Q2[85]*Dy1[13] + Q2[86]*Dy1[14] + Q2[87]*Dy1[15] + Q2[88]*Dy1[16] + Q2[89]*Dy1[17]; +QDy1[5] = + Q2[90]*Dy1[0] + Q2[91]*Dy1[1] + Q2[92]*Dy1[2] + Q2[93]*Dy1[3] + Q2[94]*Dy1[4] + Q2[95]*Dy1[5] + Q2[96]*Dy1[6] + Q2[97]*Dy1[7] + Q2[98]*Dy1[8] + Q2[99]*Dy1[9] + Q2[100]*Dy1[10] + Q2[101]*Dy1[11] + Q2[102]*Dy1[12] + Q2[103]*Dy1[13] + Q2[104]*Dy1[14] + Q2[105]*Dy1[15] + Q2[106]*Dy1[16] + Q2[107]*Dy1[17]; +QDy1[6] = + Q2[108]*Dy1[0] + Q2[109]*Dy1[1] + Q2[110]*Dy1[2] + Q2[111]*Dy1[3] + Q2[112]*Dy1[4] + Q2[113]*Dy1[5] + Q2[114]*Dy1[6] + Q2[115]*Dy1[7] + Q2[116]*Dy1[8] + Q2[117]*Dy1[9] + Q2[118]*Dy1[10] + Q2[119]*Dy1[11] + Q2[120]*Dy1[12] + Q2[121]*Dy1[13] + Q2[122]*Dy1[14] + Q2[123]*Dy1[15] + Q2[124]*Dy1[16] + Q2[125]*Dy1[17]; +QDy1[7] = + Q2[126]*Dy1[0] + Q2[127]*Dy1[1] + Q2[128]*Dy1[2] + Q2[129]*Dy1[3] + Q2[130]*Dy1[4] + Q2[131]*Dy1[5] + Q2[132]*Dy1[6] + Q2[133]*Dy1[7] + Q2[134]*Dy1[8] + Q2[135]*Dy1[9] + Q2[136]*Dy1[10] + Q2[137]*Dy1[11] + Q2[138]*Dy1[12] + Q2[139]*Dy1[13] + Q2[140]*Dy1[14] + Q2[141]*Dy1[15] + Q2[142]*Dy1[16] + Q2[143]*Dy1[17]; +QDy1[8] = + Q2[144]*Dy1[0] + Q2[145]*Dy1[1] + Q2[146]*Dy1[2] + Q2[147]*Dy1[3] + Q2[148]*Dy1[4] + Q2[149]*Dy1[5] + Q2[150]*Dy1[6] + Q2[151]*Dy1[7] + Q2[152]*Dy1[8] + Q2[153]*Dy1[9] + Q2[154]*Dy1[10] + Q2[155]*Dy1[11] + Q2[156]*Dy1[12] + Q2[157]*Dy1[13] + Q2[158]*Dy1[14] + Q2[159]*Dy1[15] + Q2[160]*Dy1[16] + Q2[161]*Dy1[17]; +QDy1[9] = + Q2[162]*Dy1[0] + Q2[163]*Dy1[1] + Q2[164]*Dy1[2] + Q2[165]*Dy1[3] + Q2[166]*Dy1[4] + Q2[167]*Dy1[5] + Q2[168]*Dy1[6] + Q2[169]*Dy1[7] + Q2[170]*Dy1[8] + Q2[171]*Dy1[9] + Q2[172]*Dy1[10] + Q2[173]*Dy1[11] + Q2[174]*Dy1[12] + Q2[175]*Dy1[13] + Q2[176]*Dy1[14] + Q2[177]*Dy1[15] + Q2[178]*Dy1[16] + Q2[179]*Dy1[17]; +QDy1[10] = + Q2[180]*Dy1[0] + Q2[181]*Dy1[1] + Q2[182]*Dy1[2] + Q2[183]*Dy1[3] + Q2[184]*Dy1[4] + Q2[185]*Dy1[5] + Q2[186]*Dy1[6] + Q2[187]*Dy1[7] + Q2[188]*Dy1[8] + Q2[189]*Dy1[9] + Q2[190]*Dy1[10] + Q2[191]*Dy1[11] + Q2[192]*Dy1[12] + Q2[193]*Dy1[13] + Q2[194]*Dy1[14] + Q2[195]*Dy1[15] + Q2[196]*Dy1[16] + Q2[197]*Dy1[17]; +QDy1[11] = + Q2[198]*Dy1[0] + Q2[199]*Dy1[1] + Q2[200]*Dy1[2] + Q2[201]*Dy1[3] + Q2[202]*Dy1[4] + Q2[203]*Dy1[5] + Q2[204]*Dy1[6] + Q2[205]*Dy1[7] + Q2[206]*Dy1[8] + Q2[207]*Dy1[9] + Q2[208]*Dy1[10] + Q2[209]*Dy1[11] + Q2[210]*Dy1[12] + Q2[211]*Dy1[13] + Q2[212]*Dy1[14] + Q2[213]*Dy1[15] + Q2[214]*Dy1[16] + Q2[215]*Dy1[17]; } void acado_condensePrep( ) @@ -1409,23 +1691,28 @@ void acado_condensePrep( ) int lRun1; int lRun2; int lRun3; +int lRun4; +int lRun5; +/** Row vector of size: 60 */ +static const int xBoundIndices[ 60 ] = +{ 18, 19, 20, 30, 31, 32, 42, 43, 44, 54, 55, 56, 66, 67, 68, 78, 79, 80, 90, 91, 92, 102, 103, 104, 114, 115, 116, 126, 127, 128, 138, 139, 140, 150, 151, 152, 162, 163, 164, 174, 175, 176, 186, 187, 188, 198, 199, 200, 210, 211, 212, 222, 223, 224, 234, 235, 236, 246, 247, 248 }; for (lRun2 = 0; lRun2 < 20; ++lRun2) { lRun3 = ((lRun2) * (lRun2 * -1 + 41)) / (2); -acado_moveGuE( &(acadoWorkspace.evGu[ lRun2 * 48 ]), &(acadoWorkspace.E[ lRun3 * 48 ]) ); +acado_moveGuE( &(acadoWorkspace.evGu[ lRun2 * 72 ]), &(acadoWorkspace.E[ lRun3 * 72 ]) ); for (lRun1 = 1; lRun1 < lRun2 * -1 + 20; ++lRun1) { -acado_multGxGu( &(acadoWorkspace.evGx[ ((((lRun2) + (lRun1)) * (12)) * (12)) + (0) ]), &(acadoWorkspace.E[ (((((lRun3) + (lRun1)) - (1)) * (12)) * (4)) + (0) ]), &(acadoWorkspace.E[ ((((lRun3) + (lRun1)) * (12)) * (4)) + (0) ]) ); +acado_multGxGu( &(acadoWorkspace.evGx[ ((((lRun2) + (lRun1)) * (12)) * (12)) + (0) ]), &(acadoWorkspace.E[ (((((lRun3) + (lRun1)) - (1)) * (12)) * (6)) + (0) ]), &(acadoWorkspace.E[ ((((lRun3) + (lRun1)) * (12)) * (6)) + (0) ]) ); } -acado_multGxGu( acadoWorkspace.QN1, &(acadoWorkspace.E[ ((((((lRun3) - (lRun2)) + (20)) - (1)) * (12)) * (4)) + (0) ]), acadoWorkspace.W1 ); +acado_multGxGu( acadoWorkspace.QN1, &(acadoWorkspace.E[ ((((((lRun3) - (lRun2)) + (20)) - (1)) * (12)) * (6)) + (0) ]), acadoWorkspace.W1 ); for (lRun1 = 19; lRun2 < lRun1; --lRun1) { -acado_multBTW1( &(acadoWorkspace.evGu[ lRun1 * 48 ]), acadoWorkspace.W1, lRun1, lRun2 ); +acado_multBTW1( &(acadoWorkspace.evGu[ lRun1 * 72 ]), acadoWorkspace.W1, lRun1, lRun2 ); acado_multGxTGu( &(acadoWorkspace.evGx[ lRun1 * 144 ]), acadoWorkspace.W1, acadoWorkspace.W2 ); -acado_multQEW2( &(acadoWorkspace.Q1[ lRun1 * 144 ]), &(acadoWorkspace.E[ ((((((lRun3) + (lRun1)) - (lRun2)) - (1)) * (12)) * (4)) + (0) ]), acadoWorkspace.W2, acadoWorkspace.W1 ); +acado_multQEW2( &(acadoWorkspace.Q1[ lRun1 * 144 ]), &(acadoWorkspace.E[ ((((((lRun3) + (lRun1)) - (lRun2)) - (1)) * (12)) * (6)) + (0) ]), acadoWorkspace.W2, acadoWorkspace.W1 ); } -acado_multBTW1_R1( &(acadoWorkspace.R1[ lRun2 * 16 ]), &(acadoWorkspace.evGu[ lRun2 * 48 ]), acadoWorkspace.W1, lRun2 ); +acado_multBTW1_R1( &(acadoWorkspace.R1[ lRun2 * 36 ]), &(acadoWorkspace.evGu[ lRun2 * 72 ]), acadoWorkspace.W1, lRun2 ); } acado_copyHTH( 0, 1 ); @@ -1623,11 +1910,29 @@ for (lRun1 = 0; lRun1 < 240; ++lRun1) acadoWorkspace.sbar[lRun1 + 12] = acadoWorkspace.d[lRun1]; +for (lRun1 = 0; lRun1 < 60; ++lRun1) +{ +lRun3 = xBoundIndices[ lRun1 ] - 12; +lRun4 = ((lRun3) / (12)) + (1); +for (lRun2 = 0; lRun2 < lRun4; ++lRun2) +{ +lRun5 = ((((((lRun2) * (lRun2 * -1 + 39)) / (2)) + (lRun4)) - (1)) * (12)) + ((lRun3) % (12)); +acadoWorkspace.A[(lRun1 * 120) + (lRun2 * 6)] = acadoWorkspace.E[lRun5 * 6]; +acadoWorkspace.A[(lRun1 * 120) + (lRun2 * 6 + 1)] = acadoWorkspace.E[lRun5 * 6 + 1]; +acadoWorkspace.A[(lRun1 * 120) + (lRun2 * 6 + 2)] = acadoWorkspace.E[lRun5 * 6 + 2]; +acadoWorkspace.A[(lRun1 * 120) + (lRun2 * 6 + 3)] = acadoWorkspace.E[lRun5 * 6 + 3]; +acadoWorkspace.A[(lRun1 * 120) + (lRun2 * 6 + 4)] = acadoWorkspace.E[lRun5 * 6 + 4]; +acadoWorkspace.A[(lRun1 * 120) + (lRun2 * 6 + 5)] = acadoWorkspace.E[lRun5 * 6 + 5]; +} +} + } void acado_condenseFdb( ) { int lRun1; +real_t tmp; + acadoWorkspace.Dx0[0] = acadoVariables.x0[0] - acadoVariables.x[0]; acadoWorkspace.Dx0[1] = acadoVariables.x0[1] - acadoVariables.x[1]; acadoWorkspace.Dx0[2] = acadoVariables.x0[2] - acadoVariables.x[2]; @@ -1640,7 +1945,7 @@ acadoWorkspace.Dx0[8] = acadoVariables.x0[8] - acadoVariables.x[8]; acadoWorkspace.Dx0[9] = acadoVariables.x0[9] - acadoVariables.x[9]; acadoWorkspace.Dx0[10] = acadoVariables.x0[10] - acadoVariables.x[10]; acadoWorkspace.Dx0[11] = acadoVariables.x0[11] - acadoVariables.x[11]; -for (lRun1 = 0; lRun1 < 320; ++lRun1) +for (lRun1 = 0; lRun1 < 360; ++lRun1) acadoWorkspace.Dy[lRun1] -= acadoVariables.y[lRun1]; acadoWorkspace.DyN[0] -= acadoVariables.yN[0]; @@ -1651,46 +1956,46 @@ acadoWorkspace.DyN[4] -= acadoVariables.yN[4]; acadoWorkspace.DyN[5] -= acadoVariables.yN[5]; acado_multRDy( acadoWorkspace.R2, acadoWorkspace.Dy, acadoWorkspace.g ); -acado_multRDy( &(acadoWorkspace.R2[ 64 ]), &(acadoWorkspace.Dy[ 16 ]), &(acadoWorkspace.g[ 4 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 128 ]), &(acadoWorkspace.Dy[ 32 ]), &(acadoWorkspace.g[ 8 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 192 ]), &(acadoWorkspace.Dy[ 48 ]), &(acadoWorkspace.g[ 12 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 256 ]), &(acadoWorkspace.Dy[ 64 ]), &(acadoWorkspace.g[ 16 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 320 ]), &(acadoWorkspace.Dy[ 80 ]), &(acadoWorkspace.g[ 20 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 384 ]), &(acadoWorkspace.Dy[ 96 ]), &(acadoWorkspace.g[ 24 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 448 ]), &(acadoWorkspace.Dy[ 112 ]), &(acadoWorkspace.g[ 28 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 512 ]), &(acadoWorkspace.Dy[ 128 ]), &(acadoWorkspace.g[ 32 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 576 ]), &(acadoWorkspace.Dy[ 144 ]), &(acadoWorkspace.g[ 36 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 640 ]), &(acadoWorkspace.Dy[ 160 ]), &(acadoWorkspace.g[ 40 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 704 ]), &(acadoWorkspace.Dy[ 176 ]), &(acadoWorkspace.g[ 44 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 768 ]), &(acadoWorkspace.Dy[ 192 ]), &(acadoWorkspace.g[ 48 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 832 ]), &(acadoWorkspace.Dy[ 208 ]), &(acadoWorkspace.g[ 52 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 896 ]), &(acadoWorkspace.Dy[ 224 ]), &(acadoWorkspace.g[ 56 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 960 ]), &(acadoWorkspace.Dy[ 240 ]), &(acadoWorkspace.g[ 60 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 1024 ]), &(acadoWorkspace.Dy[ 256 ]), &(acadoWorkspace.g[ 64 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 1088 ]), &(acadoWorkspace.Dy[ 272 ]), &(acadoWorkspace.g[ 68 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 1152 ]), &(acadoWorkspace.Dy[ 288 ]), &(acadoWorkspace.g[ 72 ]) ); -acado_multRDy( &(acadoWorkspace.R2[ 1216 ]), &(acadoWorkspace.Dy[ 304 ]), &(acadoWorkspace.g[ 76 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 108 ]), &(acadoWorkspace.Dy[ 18 ]), &(acadoWorkspace.g[ 6 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 216 ]), &(acadoWorkspace.Dy[ 36 ]), &(acadoWorkspace.g[ 12 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 324 ]), &(acadoWorkspace.Dy[ 54 ]), &(acadoWorkspace.g[ 18 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 432 ]), &(acadoWorkspace.Dy[ 72 ]), &(acadoWorkspace.g[ 24 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 540 ]), &(acadoWorkspace.Dy[ 90 ]), &(acadoWorkspace.g[ 30 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 648 ]), &(acadoWorkspace.Dy[ 108 ]), &(acadoWorkspace.g[ 36 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 756 ]), &(acadoWorkspace.Dy[ 126 ]), &(acadoWorkspace.g[ 42 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 864 ]), &(acadoWorkspace.Dy[ 144 ]), &(acadoWorkspace.g[ 48 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 972 ]), &(acadoWorkspace.Dy[ 162 ]), &(acadoWorkspace.g[ 54 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1080 ]), &(acadoWorkspace.Dy[ 180 ]), &(acadoWorkspace.g[ 60 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1188 ]), &(acadoWorkspace.Dy[ 198 ]), &(acadoWorkspace.g[ 66 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1296 ]), &(acadoWorkspace.Dy[ 216 ]), &(acadoWorkspace.g[ 72 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1404 ]), &(acadoWorkspace.Dy[ 234 ]), &(acadoWorkspace.g[ 78 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1512 ]), &(acadoWorkspace.Dy[ 252 ]), &(acadoWorkspace.g[ 84 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1620 ]), &(acadoWorkspace.Dy[ 270 ]), &(acadoWorkspace.g[ 90 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1728 ]), &(acadoWorkspace.Dy[ 288 ]), &(acadoWorkspace.g[ 96 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1836 ]), &(acadoWorkspace.Dy[ 306 ]), &(acadoWorkspace.g[ 102 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 1944 ]), &(acadoWorkspace.Dy[ 324 ]), &(acadoWorkspace.g[ 108 ]) ); +acado_multRDy( &(acadoWorkspace.R2[ 2052 ]), &(acadoWorkspace.Dy[ 342 ]), &(acadoWorkspace.g[ 114 ]) ); acado_multQDy( acadoWorkspace.Q2, acadoWorkspace.Dy, acadoWorkspace.QDy ); -acado_multQDy( &(acadoWorkspace.Q2[ 192 ]), &(acadoWorkspace.Dy[ 16 ]), &(acadoWorkspace.QDy[ 12 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 384 ]), &(acadoWorkspace.Dy[ 32 ]), &(acadoWorkspace.QDy[ 24 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 576 ]), &(acadoWorkspace.Dy[ 48 ]), &(acadoWorkspace.QDy[ 36 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 768 ]), &(acadoWorkspace.Dy[ 64 ]), &(acadoWorkspace.QDy[ 48 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 960 ]), &(acadoWorkspace.Dy[ 80 ]), &(acadoWorkspace.QDy[ 60 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 1152 ]), &(acadoWorkspace.Dy[ 96 ]), &(acadoWorkspace.QDy[ 72 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 1344 ]), &(acadoWorkspace.Dy[ 112 ]), &(acadoWorkspace.QDy[ 84 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 1536 ]), &(acadoWorkspace.Dy[ 128 ]), &(acadoWorkspace.QDy[ 96 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 1728 ]), &(acadoWorkspace.Dy[ 144 ]), &(acadoWorkspace.QDy[ 108 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 1920 ]), &(acadoWorkspace.Dy[ 160 ]), &(acadoWorkspace.QDy[ 120 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 2112 ]), &(acadoWorkspace.Dy[ 176 ]), &(acadoWorkspace.QDy[ 132 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 2304 ]), &(acadoWorkspace.Dy[ 192 ]), &(acadoWorkspace.QDy[ 144 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 2496 ]), &(acadoWorkspace.Dy[ 208 ]), &(acadoWorkspace.QDy[ 156 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 2688 ]), &(acadoWorkspace.Dy[ 224 ]), &(acadoWorkspace.QDy[ 168 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 2880 ]), &(acadoWorkspace.Dy[ 240 ]), &(acadoWorkspace.QDy[ 180 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 3072 ]), &(acadoWorkspace.Dy[ 256 ]), &(acadoWorkspace.QDy[ 192 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 3264 ]), &(acadoWorkspace.Dy[ 272 ]), &(acadoWorkspace.QDy[ 204 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 3456 ]), &(acadoWorkspace.Dy[ 288 ]), &(acadoWorkspace.QDy[ 216 ]) ); -acado_multQDy( &(acadoWorkspace.Q2[ 3648 ]), &(acadoWorkspace.Dy[ 304 ]), &(acadoWorkspace.QDy[ 228 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 216 ]), &(acadoWorkspace.Dy[ 18 ]), &(acadoWorkspace.QDy[ 12 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 432 ]), &(acadoWorkspace.Dy[ 36 ]), &(acadoWorkspace.QDy[ 24 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 648 ]), &(acadoWorkspace.Dy[ 54 ]), &(acadoWorkspace.QDy[ 36 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 864 ]), &(acadoWorkspace.Dy[ 72 ]), &(acadoWorkspace.QDy[ 48 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1080 ]), &(acadoWorkspace.Dy[ 90 ]), &(acadoWorkspace.QDy[ 60 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1296 ]), &(acadoWorkspace.Dy[ 108 ]), &(acadoWorkspace.QDy[ 72 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1512 ]), &(acadoWorkspace.Dy[ 126 ]), &(acadoWorkspace.QDy[ 84 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1728 ]), &(acadoWorkspace.Dy[ 144 ]), &(acadoWorkspace.QDy[ 96 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 1944 ]), &(acadoWorkspace.Dy[ 162 ]), &(acadoWorkspace.QDy[ 108 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 2160 ]), &(acadoWorkspace.Dy[ 180 ]), &(acadoWorkspace.QDy[ 120 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 2376 ]), &(acadoWorkspace.Dy[ 198 ]), &(acadoWorkspace.QDy[ 132 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 2592 ]), &(acadoWorkspace.Dy[ 216 ]), &(acadoWorkspace.QDy[ 144 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 2808 ]), &(acadoWorkspace.Dy[ 234 ]), &(acadoWorkspace.QDy[ 156 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 3024 ]), &(acadoWorkspace.Dy[ 252 ]), &(acadoWorkspace.QDy[ 168 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 3240 ]), &(acadoWorkspace.Dy[ 270 ]), &(acadoWorkspace.QDy[ 180 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 3456 ]), &(acadoWorkspace.Dy[ 288 ]), &(acadoWorkspace.QDy[ 192 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 3672 ]), &(acadoWorkspace.Dy[ 306 ]), &(acadoWorkspace.QDy[ 204 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 3888 ]), &(acadoWorkspace.Dy[ 324 ]), &(acadoWorkspace.QDy[ 216 ]) ); +acado_multQDy( &(acadoWorkspace.Q2[ 4104 ]), &(acadoWorkspace.Dy[ 342 ]), &(acadoWorkspace.QDy[ 228 ]) ); acadoWorkspace.QDy[240] = + acadoWorkspace.QN2[0]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[1]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[2]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[3]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[4]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[5]*acadoWorkspace.DyN[5]; acadoWorkspace.QDy[241] = + acadoWorkspace.QN2[6]*acadoWorkspace.DyN[0] + acadoWorkspace.QN2[7]*acadoWorkspace.DyN[1] + acadoWorkspace.QN2[8]*acadoWorkspace.DyN[2] + acadoWorkspace.QN2[9]*acadoWorkspace.DyN[3] + acadoWorkspace.QN2[10]*acadoWorkspace.DyN[4] + acadoWorkspace.QN2[11]*acadoWorkspace.DyN[5]; @@ -1750,61 +2055,61 @@ acadoWorkspace.w1[8] = + acadoWorkspace.QN1[96]*acadoWorkspace.sbar[240] + acado acadoWorkspace.w1[9] = + acadoWorkspace.QN1[108]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[109]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[110]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[111]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[112]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[113]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[114]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[115]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[116]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[117]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[118]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[119]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[249]; acadoWorkspace.w1[10] = + acadoWorkspace.QN1[120]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[121]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[122]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[123]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[124]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[125]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[126]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[127]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[128]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[129]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[130]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[131]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[250]; acadoWorkspace.w1[11] = + acadoWorkspace.QN1[132]*acadoWorkspace.sbar[240] + acadoWorkspace.QN1[133]*acadoWorkspace.sbar[241] + acadoWorkspace.QN1[134]*acadoWorkspace.sbar[242] + acadoWorkspace.QN1[135]*acadoWorkspace.sbar[243] + acadoWorkspace.QN1[136]*acadoWorkspace.sbar[244] + acadoWorkspace.QN1[137]*acadoWorkspace.sbar[245] + acadoWorkspace.QN1[138]*acadoWorkspace.sbar[246] + acadoWorkspace.QN1[139]*acadoWorkspace.sbar[247] + acadoWorkspace.QN1[140]*acadoWorkspace.sbar[248] + acadoWorkspace.QN1[141]*acadoWorkspace.sbar[249] + acadoWorkspace.QN1[142]*acadoWorkspace.sbar[250] + acadoWorkspace.QN1[143]*acadoWorkspace.sbar[251] + acadoWorkspace.QDy[251]; -acado_macBTw1( &(acadoWorkspace.evGu[ 912 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 76 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 1368 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 114 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 2736 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 228 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 2736 ]), &(acadoWorkspace.sbar[ 228 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 864 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 72 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 1296 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 108 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 2592 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 216 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 2592 ]), &(acadoWorkspace.sbar[ 216 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 816 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 68 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 1224 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 102 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 2448 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 204 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 2448 ]), &(acadoWorkspace.sbar[ 204 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 768 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 64 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 1152 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 96 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 2304 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 192 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 2304 ]), &(acadoWorkspace.sbar[ 192 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 720 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 60 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 1080 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 90 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 2160 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 180 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 2160 ]), &(acadoWorkspace.sbar[ 180 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 672 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 56 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 1008 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 84 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 2016 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 168 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 2016 ]), &(acadoWorkspace.sbar[ 168 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 624 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 52 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 936 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 78 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 1872 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 156 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 1872 ]), &(acadoWorkspace.sbar[ 156 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 576 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 48 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 864 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 72 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 1728 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 144 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 1728 ]), &(acadoWorkspace.sbar[ 144 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 528 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 44 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 792 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 66 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 1584 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 132 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 1584 ]), &(acadoWorkspace.sbar[ 132 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 480 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 40 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 720 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 60 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 1440 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 120 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 1440 ]), &(acadoWorkspace.sbar[ 120 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 432 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 36 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 648 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 54 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 1296 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 108 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 1296 ]), &(acadoWorkspace.sbar[ 108 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 384 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 32 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 576 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 48 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 1152 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 96 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 1152 ]), &(acadoWorkspace.sbar[ 96 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 336 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 28 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 504 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 42 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 1008 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 84 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 1008 ]), &(acadoWorkspace.sbar[ 84 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 288 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 24 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 432 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 36 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 864 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 72 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 864 ]), &(acadoWorkspace.sbar[ 72 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 240 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 20 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 360 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 30 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 720 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 60 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 720 ]), &(acadoWorkspace.sbar[ 60 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 192 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 16 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 288 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 24 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 576 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 48 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 576 ]), &(acadoWorkspace.sbar[ 48 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 144 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 12 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 216 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 18 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 432 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 36 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 432 ]), &(acadoWorkspace.sbar[ 36 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 96 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 8 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 144 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 12 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 288 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 24 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 288 ]), &(acadoWorkspace.sbar[ 24 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); -acado_macBTw1( &(acadoWorkspace.evGu[ 48 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 4 ]) ); +acado_macBTw1( &(acadoWorkspace.evGu[ 72 ]), acadoWorkspace.w1, &(acadoWorkspace.g[ 6 ]) ); acado_macATw1QDy( &(acadoWorkspace.evGx[ 144 ]), acadoWorkspace.w1, &(acadoWorkspace.QDy[ 12 ]), acadoWorkspace.w2 ); acado_macQSbarW2( &(acadoWorkspace.Q1[ 144 ]), &(acadoWorkspace.sbar[ 12 ]), acadoWorkspace.w2, acadoWorkspace.w1 ); acado_macBTw1( acadoWorkspace.evGu, acadoWorkspace.w1, acadoWorkspace.g ); @@ -1889,6 +2194,46 @@ acadoWorkspace.lb[76] = acadoVariables.lbValues[76] - acadoVariables.u[76]; acadoWorkspace.lb[77] = acadoVariables.lbValues[77] - acadoVariables.u[77]; acadoWorkspace.lb[78] = acadoVariables.lbValues[78] - acadoVariables.u[78]; acadoWorkspace.lb[79] = acadoVariables.lbValues[79] - acadoVariables.u[79]; +acadoWorkspace.lb[80] = acadoVariables.lbValues[80] - acadoVariables.u[80]; +acadoWorkspace.lb[81] = acadoVariables.lbValues[81] - acadoVariables.u[81]; +acadoWorkspace.lb[82] = acadoVariables.lbValues[82] - acadoVariables.u[82]; +acadoWorkspace.lb[83] = acadoVariables.lbValues[83] - acadoVariables.u[83]; +acadoWorkspace.lb[84] = acadoVariables.lbValues[84] - acadoVariables.u[84]; +acadoWorkspace.lb[85] = acadoVariables.lbValues[85] - acadoVariables.u[85]; +acadoWorkspace.lb[86] = acadoVariables.lbValues[86] - acadoVariables.u[86]; +acadoWorkspace.lb[87] = acadoVariables.lbValues[87] - acadoVariables.u[87]; +acadoWorkspace.lb[88] = acadoVariables.lbValues[88] - acadoVariables.u[88]; +acadoWorkspace.lb[89] = acadoVariables.lbValues[89] - acadoVariables.u[89]; +acadoWorkspace.lb[90] = acadoVariables.lbValues[90] - acadoVariables.u[90]; +acadoWorkspace.lb[91] = acadoVariables.lbValues[91] - acadoVariables.u[91]; +acadoWorkspace.lb[92] = acadoVariables.lbValues[92] - acadoVariables.u[92]; +acadoWorkspace.lb[93] = acadoVariables.lbValues[93] - acadoVariables.u[93]; +acadoWorkspace.lb[94] = acadoVariables.lbValues[94] - acadoVariables.u[94]; +acadoWorkspace.lb[95] = acadoVariables.lbValues[95] - acadoVariables.u[95]; +acadoWorkspace.lb[96] = acadoVariables.lbValues[96] - acadoVariables.u[96]; +acadoWorkspace.lb[97] = acadoVariables.lbValues[97] - acadoVariables.u[97]; +acadoWorkspace.lb[98] = acadoVariables.lbValues[98] - acadoVariables.u[98]; +acadoWorkspace.lb[99] = acadoVariables.lbValues[99] - acadoVariables.u[99]; +acadoWorkspace.lb[100] = acadoVariables.lbValues[100] - acadoVariables.u[100]; +acadoWorkspace.lb[101] = acadoVariables.lbValues[101] - acadoVariables.u[101]; +acadoWorkspace.lb[102] = acadoVariables.lbValues[102] - acadoVariables.u[102]; +acadoWorkspace.lb[103] = acadoVariables.lbValues[103] - acadoVariables.u[103]; +acadoWorkspace.lb[104] = acadoVariables.lbValues[104] - acadoVariables.u[104]; +acadoWorkspace.lb[105] = acadoVariables.lbValues[105] - acadoVariables.u[105]; +acadoWorkspace.lb[106] = acadoVariables.lbValues[106] - acadoVariables.u[106]; +acadoWorkspace.lb[107] = acadoVariables.lbValues[107] - acadoVariables.u[107]; +acadoWorkspace.lb[108] = acadoVariables.lbValues[108] - acadoVariables.u[108]; +acadoWorkspace.lb[109] = acadoVariables.lbValues[109] - acadoVariables.u[109]; +acadoWorkspace.lb[110] = acadoVariables.lbValues[110] - acadoVariables.u[110]; +acadoWorkspace.lb[111] = acadoVariables.lbValues[111] - acadoVariables.u[111]; +acadoWorkspace.lb[112] = acadoVariables.lbValues[112] - acadoVariables.u[112]; +acadoWorkspace.lb[113] = acadoVariables.lbValues[113] - acadoVariables.u[113]; +acadoWorkspace.lb[114] = acadoVariables.lbValues[114] - acadoVariables.u[114]; +acadoWorkspace.lb[115] = acadoVariables.lbValues[115] - acadoVariables.u[115]; +acadoWorkspace.lb[116] = acadoVariables.lbValues[116] - acadoVariables.u[116]; +acadoWorkspace.lb[117] = acadoVariables.lbValues[117] - acadoVariables.u[117]; +acadoWorkspace.lb[118] = acadoVariables.lbValues[118] - acadoVariables.u[118]; +acadoWorkspace.lb[119] = acadoVariables.lbValues[119] - acadoVariables.u[119]; acadoWorkspace.ub[0] = acadoVariables.ubValues[0] - acadoVariables.u[0]; acadoWorkspace.ub[1] = acadoVariables.ubValues[1] - acadoVariables.u[1]; acadoWorkspace.ub[2] = acadoVariables.ubValues[2] - acadoVariables.u[2]; @@ -1969,6 +2314,227 @@ acadoWorkspace.ub[76] = acadoVariables.ubValues[76] - acadoVariables.u[76]; acadoWorkspace.ub[77] = acadoVariables.ubValues[77] - acadoVariables.u[77]; acadoWorkspace.ub[78] = acadoVariables.ubValues[78] - acadoVariables.u[78]; acadoWorkspace.ub[79] = acadoVariables.ubValues[79] - acadoVariables.u[79]; +acadoWorkspace.ub[80] = acadoVariables.ubValues[80] - acadoVariables.u[80]; +acadoWorkspace.ub[81] = acadoVariables.ubValues[81] - acadoVariables.u[81]; +acadoWorkspace.ub[82] = acadoVariables.ubValues[82] - acadoVariables.u[82]; +acadoWorkspace.ub[83] = acadoVariables.ubValues[83] - acadoVariables.u[83]; +acadoWorkspace.ub[84] = acadoVariables.ubValues[84] - acadoVariables.u[84]; +acadoWorkspace.ub[85] = acadoVariables.ubValues[85] - acadoVariables.u[85]; +acadoWorkspace.ub[86] = acadoVariables.ubValues[86] - acadoVariables.u[86]; +acadoWorkspace.ub[87] = acadoVariables.ubValues[87] - acadoVariables.u[87]; +acadoWorkspace.ub[88] = acadoVariables.ubValues[88] - acadoVariables.u[88]; +acadoWorkspace.ub[89] = acadoVariables.ubValues[89] - acadoVariables.u[89]; +acadoWorkspace.ub[90] = acadoVariables.ubValues[90] - acadoVariables.u[90]; +acadoWorkspace.ub[91] = acadoVariables.ubValues[91] - acadoVariables.u[91]; +acadoWorkspace.ub[92] = acadoVariables.ubValues[92] - acadoVariables.u[92]; +acadoWorkspace.ub[93] = acadoVariables.ubValues[93] - acadoVariables.u[93]; +acadoWorkspace.ub[94] = acadoVariables.ubValues[94] - acadoVariables.u[94]; +acadoWorkspace.ub[95] = acadoVariables.ubValues[95] - acadoVariables.u[95]; +acadoWorkspace.ub[96] = acadoVariables.ubValues[96] - acadoVariables.u[96]; +acadoWorkspace.ub[97] = acadoVariables.ubValues[97] - acadoVariables.u[97]; +acadoWorkspace.ub[98] = acadoVariables.ubValues[98] - acadoVariables.u[98]; +acadoWorkspace.ub[99] = acadoVariables.ubValues[99] - acadoVariables.u[99]; +acadoWorkspace.ub[100] = acadoVariables.ubValues[100] - acadoVariables.u[100]; +acadoWorkspace.ub[101] = acadoVariables.ubValues[101] - acadoVariables.u[101]; +acadoWorkspace.ub[102] = acadoVariables.ubValues[102] - acadoVariables.u[102]; +acadoWorkspace.ub[103] = acadoVariables.ubValues[103] - acadoVariables.u[103]; +acadoWorkspace.ub[104] = acadoVariables.ubValues[104] - acadoVariables.u[104]; +acadoWorkspace.ub[105] = acadoVariables.ubValues[105] - acadoVariables.u[105]; +acadoWorkspace.ub[106] = acadoVariables.ubValues[106] - acadoVariables.u[106]; +acadoWorkspace.ub[107] = acadoVariables.ubValues[107] - acadoVariables.u[107]; +acadoWorkspace.ub[108] = acadoVariables.ubValues[108] - acadoVariables.u[108]; +acadoWorkspace.ub[109] = acadoVariables.ubValues[109] - acadoVariables.u[109]; +acadoWorkspace.ub[110] = acadoVariables.ubValues[110] - acadoVariables.u[110]; +acadoWorkspace.ub[111] = acadoVariables.ubValues[111] - acadoVariables.u[111]; +acadoWorkspace.ub[112] = acadoVariables.ubValues[112] - acadoVariables.u[112]; +acadoWorkspace.ub[113] = acadoVariables.ubValues[113] - acadoVariables.u[113]; +acadoWorkspace.ub[114] = acadoVariables.ubValues[114] - acadoVariables.u[114]; +acadoWorkspace.ub[115] = acadoVariables.ubValues[115] - acadoVariables.u[115]; +acadoWorkspace.ub[116] = acadoVariables.ubValues[116] - acadoVariables.u[116]; +acadoWorkspace.ub[117] = acadoVariables.ubValues[117] - acadoVariables.u[117]; +acadoWorkspace.ub[118] = acadoVariables.ubValues[118] - acadoVariables.u[118]; +acadoWorkspace.ub[119] = acadoVariables.ubValues[119] - acadoVariables.u[119]; + +tmp = acadoWorkspace.sbar[18] + acadoVariables.x[18]; +acadoWorkspace.lbA[0] = acadoVariables.lbAValues[0] - tmp; +acadoWorkspace.ubA[0] = acadoVariables.ubAValues[0] - tmp; +tmp = acadoWorkspace.sbar[19] + acadoVariables.x[19]; +acadoWorkspace.lbA[1] = acadoVariables.lbAValues[1] - tmp; +acadoWorkspace.ubA[1] = acadoVariables.ubAValues[1] - tmp; +tmp = acadoWorkspace.sbar[20] + acadoVariables.x[20]; +acadoWorkspace.lbA[2] = acadoVariables.lbAValues[2] - tmp; +acadoWorkspace.ubA[2] = acadoVariables.ubAValues[2] - tmp; +tmp = acadoWorkspace.sbar[30] + acadoVariables.x[30]; +acadoWorkspace.lbA[3] = acadoVariables.lbAValues[3] - tmp; +acadoWorkspace.ubA[3] = acadoVariables.ubAValues[3] - tmp; +tmp = acadoWorkspace.sbar[31] + acadoVariables.x[31]; +acadoWorkspace.lbA[4] = acadoVariables.lbAValues[4] - tmp; +acadoWorkspace.ubA[4] = acadoVariables.ubAValues[4] - tmp; +tmp = acadoWorkspace.sbar[32] + acadoVariables.x[32]; +acadoWorkspace.lbA[5] = acadoVariables.lbAValues[5] - tmp; +acadoWorkspace.ubA[5] = acadoVariables.ubAValues[5] - tmp; +tmp = acadoWorkspace.sbar[42] + acadoVariables.x[42]; +acadoWorkspace.lbA[6] = acadoVariables.lbAValues[6] - tmp; +acadoWorkspace.ubA[6] = acadoVariables.ubAValues[6] - tmp; +tmp = acadoWorkspace.sbar[43] + acadoVariables.x[43]; +acadoWorkspace.lbA[7] = acadoVariables.lbAValues[7] - tmp; +acadoWorkspace.ubA[7] = acadoVariables.ubAValues[7] - tmp; +tmp = acadoWorkspace.sbar[44] + acadoVariables.x[44]; +acadoWorkspace.lbA[8] = acadoVariables.lbAValues[8] - tmp; +acadoWorkspace.ubA[8] = acadoVariables.ubAValues[8] - tmp; +tmp = acadoWorkspace.sbar[54] + acadoVariables.x[54]; +acadoWorkspace.lbA[9] = acadoVariables.lbAValues[9] - tmp; +acadoWorkspace.ubA[9] = acadoVariables.ubAValues[9] - tmp; +tmp = acadoWorkspace.sbar[55] + acadoVariables.x[55]; +acadoWorkspace.lbA[10] = acadoVariables.lbAValues[10] - tmp; +acadoWorkspace.ubA[10] = acadoVariables.ubAValues[10] - tmp; +tmp = acadoWorkspace.sbar[56] + acadoVariables.x[56]; +acadoWorkspace.lbA[11] = acadoVariables.lbAValues[11] - tmp; +acadoWorkspace.ubA[11] = acadoVariables.ubAValues[11] - tmp; +tmp = acadoWorkspace.sbar[66] + acadoVariables.x[66]; +acadoWorkspace.lbA[12] = acadoVariables.lbAValues[12] - tmp; +acadoWorkspace.ubA[12] = acadoVariables.ubAValues[12] - tmp; +tmp = acadoWorkspace.sbar[67] + acadoVariables.x[67]; +acadoWorkspace.lbA[13] = acadoVariables.lbAValues[13] - tmp; +acadoWorkspace.ubA[13] = acadoVariables.ubAValues[13] - tmp; +tmp = acadoWorkspace.sbar[68] + acadoVariables.x[68]; +acadoWorkspace.lbA[14] = acadoVariables.lbAValues[14] - tmp; +acadoWorkspace.ubA[14] = acadoVariables.ubAValues[14] - tmp; +tmp = acadoWorkspace.sbar[78] + acadoVariables.x[78]; +acadoWorkspace.lbA[15] = acadoVariables.lbAValues[15] - tmp; +acadoWorkspace.ubA[15] = acadoVariables.ubAValues[15] - tmp; +tmp = acadoWorkspace.sbar[79] + acadoVariables.x[79]; +acadoWorkspace.lbA[16] = acadoVariables.lbAValues[16] - tmp; +acadoWorkspace.ubA[16] = acadoVariables.ubAValues[16] - tmp; +tmp = acadoWorkspace.sbar[80] + acadoVariables.x[80]; +acadoWorkspace.lbA[17] = acadoVariables.lbAValues[17] - tmp; +acadoWorkspace.ubA[17] = acadoVariables.ubAValues[17] - tmp; +tmp = acadoWorkspace.sbar[90] + acadoVariables.x[90]; +acadoWorkspace.lbA[18] = acadoVariables.lbAValues[18] - tmp; +acadoWorkspace.ubA[18] = acadoVariables.ubAValues[18] - tmp; +tmp = acadoWorkspace.sbar[91] + acadoVariables.x[91]; +acadoWorkspace.lbA[19] = acadoVariables.lbAValues[19] - tmp; +acadoWorkspace.ubA[19] = acadoVariables.ubAValues[19] - tmp; +tmp = acadoWorkspace.sbar[92] + acadoVariables.x[92]; +acadoWorkspace.lbA[20] = acadoVariables.lbAValues[20] - tmp; +acadoWorkspace.ubA[20] = acadoVariables.ubAValues[20] - tmp; +tmp = acadoWorkspace.sbar[102] + acadoVariables.x[102]; +acadoWorkspace.lbA[21] = acadoVariables.lbAValues[21] - tmp; +acadoWorkspace.ubA[21] = acadoVariables.ubAValues[21] - tmp; +tmp = acadoWorkspace.sbar[103] + acadoVariables.x[103]; +acadoWorkspace.lbA[22] = acadoVariables.lbAValues[22] - tmp; +acadoWorkspace.ubA[22] = acadoVariables.ubAValues[22] - tmp; +tmp = acadoWorkspace.sbar[104] + acadoVariables.x[104]; +acadoWorkspace.lbA[23] = acadoVariables.lbAValues[23] - tmp; +acadoWorkspace.ubA[23] = acadoVariables.ubAValues[23] - tmp; +tmp = acadoWorkspace.sbar[114] + acadoVariables.x[114]; +acadoWorkspace.lbA[24] = acadoVariables.lbAValues[24] - tmp; +acadoWorkspace.ubA[24] = acadoVariables.ubAValues[24] - tmp; +tmp = acadoWorkspace.sbar[115] + acadoVariables.x[115]; +acadoWorkspace.lbA[25] = acadoVariables.lbAValues[25] - tmp; +acadoWorkspace.ubA[25] = acadoVariables.ubAValues[25] - tmp; +tmp = acadoWorkspace.sbar[116] + acadoVariables.x[116]; +acadoWorkspace.lbA[26] = acadoVariables.lbAValues[26] - tmp; +acadoWorkspace.ubA[26] = acadoVariables.ubAValues[26] - tmp; +tmp = acadoWorkspace.sbar[126] + acadoVariables.x[126]; +acadoWorkspace.lbA[27] = acadoVariables.lbAValues[27] - tmp; +acadoWorkspace.ubA[27] = acadoVariables.ubAValues[27] - tmp; +tmp = acadoWorkspace.sbar[127] + acadoVariables.x[127]; +acadoWorkspace.lbA[28] = acadoVariables.lbAValues[28] - tmp; +acadoWorkspace.ubA[28] = acadoVariables.ubAValues[28] - tmp; +tmp = acadoWorkspace.sbar[128] + acadoVariables.x[128]; +acadoWorkspace.lbA[29] = acadoVariables.lbAValues[29] - tmp; +acadoWorkspace.ubA[29] = acadoVariables.ubAValues[29] - tmp; +tmp = acadoWorkspace.sbar[138] + acadoVariables.x[138]; +acadoWorkspace.lbA[30] = acadoVariables.lbAValues[30] - tmp; +acadoWorkspace.ubA[30] = acadoVariables.ubAValues[30] - tmp; +tmp = acadoWorkspace.sbar[139] + acadoVariables.x[139]; +acadoWorkspace.lbA[31] = acadoVariables.lbAValues[31] - tmp; +acadoWorkspace.ubA[31] = acadoVariables.ubAValues[31] - tmp; +tmp = acadoWorkspace.sbar[140] + acadoVariables.x[140]; +acadoWorkspace.lbA[32] = acadoVariables.lbAValues[32] - tmp; +acadoWorkspace.ubA[32] = acadoVariables.ubAValues[32] - tmp; +tmp = acadoWorkspace.sbar[150] + acadoVariables.x[150]; +acadoWorkspace.lbA[33] = acadoVariables.lbAValues[33] - tmp; +acadoWorkspace.ubA[33] = acadoVariables.ubAValues[33] - tmp; +tmp = acadoWorkspace.sbar[151] + acadoVariables.x[151]; +acadoWorkspace.lbA[34] = acadoVariables.lbAValues[34] - tmp; +acadoWorkspace.ubA[34] = acadoVariables.ubAValues[34] - tmp; +tmp = acadoWorkspace.sbar[152] + acadoVariables.x[152]; +acadoWorkspace.lbA[35] = acadoVariables.lbAValues[35] - tmp; +acadoWorkspace.ubA[35] = acadoVariables.ubAValues[35] - tmp; +tmp = acadoWorkspace.sbar[162] + acadoVariables.x[162]; +acadoWorkspace.lbA[36] = acadoVariables.lbAValues[36] - tmp; +acadoWorkspace.ubA[36] = acadoVariables.ubAValues[36] - tmp; +tmp = acadoWorkspace.sbar[163] + acadoVariables.x[163]; +acadoWorkspace.lbA[37] = acadoVariables.lbAValues[37] - tmp; +acadoWorkspace.ubA[37] = acadoVariables.ubAValues[37] - tmp; +tmp = acadoWorkspace.sbar[164] + acadoVariables.x[164]; +acadoWorkspace.lbA[38] = acadoVariables.lbAValues[38] - tmp; +acadoWorkspace.ubA[38] = acadoVariables.ubAValues[38] - tmp; +tmp = acadoWorkspace.sbar[174] + acadoVariables.x[174]; +acadoWorkspace.lbA[39] = acadoVariables.lbAValues[39] - tmp; +acadoWorkspace.ubA[39] = acadoVariables.ubAValues[39] - tmp; +tmp = acadoWorkspace.sbar[175] + acadoVariables.x[175]; +acadoWorkspace.lbA[40] = acadoVariables.lbAValues[40] - tmp; +acadoWorkspace.ubA[40] = acadoVariables.ubAValues[40] - tmp; +tmp = acadoWorkspace.sbar[176] + acadoVariables.x[176]; +acadoWorkspace.lbA[41] = acadoVariables.lbAValues[41] - tmp; +acadoWorkspace.ubA[41] = acadoVariables.ubAValues[41] - tmp; +tmp = acadoWorkspace.sbar[186] + acadoVariables.x[186]; +acadoWorkspace.lbA[42] = acadoVariables.lbAValues[42] - tmp; +acadoWorkspace.ubA[42] = acadoVariables.ubAValues[42] - tmp; +tmp = acadoWorkspace.sbar[187] + acadoVariables.x[187]; +acadoWorkspace.lbA[43] = acadoVariables.lbAValues[43] - tmp; +acadoWorkspace.ubA[43] = acadoVariables.ubAValues[43] - tmp; +tmp = acadoWorkspace.sbar[188] + acadoVariables.x[188]; +acadoWorkspace.lbA[44] = acadoVariables.lbAValues[44] - tmp; +acadoWorkspace.ubA[44] = acadoVariables.ubAValues[44] - tmp; +tmp = acadoWorkspace.sbar[198] + acadoVariables.x[198]; +acadoWorkspace.lbA[45] = acadoVariables.lbAValues[45] - tmp; +acadoWorkspace.ubA[45] = acadoVariables.ubAValues[45] - tmp; +tmp = acadoWorkspace.sbar[199] + acadoVariables.x[199]; +acadoWorkspace.lbA[46] = acadoVariables.lbAValues[46] - tmp; +acadoWorkspace.ubA[46] = acadoVariables.ubAValues[46] - tmp; +tmp = acadoWorkspace.sbar[200] + acadoVariables.x[200]; +acadoWorkspace.lbA[47] = acadoVariables.lbAValues[47] - tmp; +acadoWorkspace.ubA[47] = acadoVariables.ubAValues[47] - tmp; +tmp = acadoWorkspace.sbar[210] + acadoVariables.x[210]; +acadoWorkspace.lbA[48] = acadoVariables.lbAValues[48] - tmp; +acadoWorkspace.ubA[48] = acadoVariables.ubAValues[48] - tmp; +tmp = acadoWorkspace.sbar[211] + acadoVariables.x[211]; +acadoWorkspace.lbA[49] = acadoVariables.lbAValues[49] - tmp; +acadoWorkspace.ubA[49] = acadoVariables.ubAValues[49] - tmp; +tmp = acadoWorkspace.sbar[212] + acadoVariables.x[212]; +acadoWorkspace.lbA[50] = acadoVariables.lbAValues[50] - tmp; +acadoWorkspace.ubA[50] = acadoVariables.ubAValues[50] - tmp; +tmp = acadoWorkspace.sbar[222] + acadoVariables.x[222]; +acadoWorkspace.lbA[51] = acadoVariables.lbAValues[51] - tmp; +acadoWorkspace.ubA[51] = acadoVariables.ubAValues[51] - tmp; +tmp = acadoWorkspace.sbar[223] + acadoVariables.x[223]; +acadoWorkspace.lbA[52] = acadoVariables.lbAValues[52] - tmp; +acadoWorkspace.ubA[52] = acadoVariables.ubAValues[52] - tmp; +tmp = acadoWorkspace.sbar[224] + acadoVariables.x[224]; +acadoWorkspace.lbA[53] = acadoVariables.lbAValues[53] - tmp; +acadoWorkspace.ubA[53] = acadoVariables.ubAValues[53] - tmp; +tmp = acadoWorkspace.sbar[234] + acadoVariables.x[234]; +acadoWorkspace.lbA[54] = acadoVariables.lbAValues[54] - tmp; +acadoWorkspace.ubA[54] = acadoVariables.ubAValues[54] - tmp; +tmp = acadoWorkspace.sbar[235] + acadoVariables.x[235]; +acadoWorkspace.lbA[55] = acadoVariables.lbAValues[55] - tmp; +acadoWorkspace.ubA[55] = acadoVariables.ubAValues[55] - tmp; +tmp = acadoWorkspace.sbar[236] + acadoVariables.x[236]; +acadoWorkspace.lbA[56] = acadoVariables.lbAValues[56] - tmp; +acadoWorkspace.ubA[56] = acadoVariables.ubAValues[56] - tmp; +tmp = acadoWorkspace.sbar[246] + acadoVariables.x[246]; +acadoWorkspace.lbA[57] = acadoVariables.lbAValues[57] - tmp; +acadoWorkspace.ubA[57] = acadoVariables.ubAValues[57] - tmp; +tmp = acadoWorkspace.sbar[247] + acadoVariables.x[247]; +acadoWorkspace.lbA[58] = acadoVariables.lbAValues[58] - tmp; +acadoWorkspace.ubA[58] = acadoVariables.ubAValues[58] - tmp; +tmp = acadoWorkspace.sbar[248] + acadoVariables.x[248]; +acadoWorkspace.lbA[59] = acadoVariables.lbAValues[59] - tmp; +acadoWorkspace.ubA[59] = acadoVariables.ubAValues[59] - tmp; } @@ -2055,6 +2621,46 @@ acadoVariables.u[76] += acadoWorkspace.x[76]; acadoVariables.u[77] += acadoWorkspace.x[77]; acadoVariables.u[78] += acadoWorkspace.x[78]; acadoVariables.u[79] += acadoWorkspace.x[79]; +acadoVariables.u[80] += acadoWorkspace.x[80]; +acadoVariables.u[81] += acadoWorkspace.x[81]; +acadoVariables.u[82] += acadoWorkspace.x[82]; +acadoVariables.u[83] += acadoWorkspace.x[83]; +acadoVariables.u[84] += acadoWorkspace.x[84]; +acadoVariables.u[85] += acadoWorkspace.x[85]; +acadoVariables.u[86] += acadoWorkspace.x[86]; +acadoVariables.u[87] += acadoWorkspace.x[87]; +acadoVariables.u[88] += acadoWorkspace.x[88]; +acadoVariables.u[89] += acadoWorkspace.x[89]; +acadoVariables.u[90] += acadoWorkspace.x[90]; +acadoVariables.u[91] += acadoWorkspace.x[91]; +acadoVariables.u[92] += acadoWorkspace.x[92]; +acadoVariables.u[93] += acadoWorkspace.x[93]; +acadoVariables.u[94] += acadoWorkspace.x[94]; +acadoVariables.u[95] += acadoWorkspace.x[95]; +acadoVariables.u[96] += acadoWorkspace.x[96]; +acadoVariables.u[97] += acadoWorkspace.x[97]; +acadoVariables.u[98] += acadoWorkspace.x[98]; +acadoVariables.u[99] += acadoWorkspace.x[99]; +acadoVariables.u[100] += acadoWorkspace.x[100]; +acadoVariables.u[101] += acadoWorkspace.x[101]; +acadoVariables.u[102] += acadoWorkspace.x[102]; +acadoVariables.u[103] += acadoWorkspace.x[103]; +acadoVariables.u[104] += acadoWorkspace.x[104]; +acadoVariables.u[105] += acadoWorkspace.x[105]; +acadoVariables.u[106] += acadoWorkspace.x[106]; +acadoVariables.u[107] += acadoWorkspace.x[107]; +acadoVariables.u[108] += acadoWorkspace.x[108]; +acadoVariables.u[109] += acadoWorkspace.x[109]; +acadoVariables.u[110] += acadoWorkspace.x[110]; +acadoVariables.u[111] += acadoWorkspace.x[111]; +acadoVariables.u[112] += acadoWorkspace.x[112]; +acadoVariables.u[113] += acadoWorkspace.x[113]; +acadoVariables.u[114] += acadoWorkspace.x[114]; +acadoVariables.u[115] += acadoWorkspace.x[115]; +acadoVariables.u[116] += acadoWorkspace.x[116]; +acadoVariables.u[117] += acadoWorkspace.x[117]; +acadoVariables.u[118] += acadoWorkspace.x[118]; +acadoVariables.u[119] += acadoWorkspace.x[119]; acadoWorkspace.sbar[0] = acadoWorkspace.Dx0[0]; acadoWorkspace.sbar[1] = acadoWorkspace.Dx0[1]; acadoWorkspace.sbar[2] = acadoWorkspace.Dx0[2]; @@ -2071,25 +2677,25 @@ for (lRun1 = 0; lRun1 < 240; ++lRun1) acadoWorkspace.sbar[lRun1 + 12] = acadoWorkspace.d[lRun1]; acado_expansionStep( acadoWorkspace.evGx, acadoWorkspace.evGu, acadoWorkspace.x, acadoWorkspace.sbar, &(acadoWorkspace.sbar[ 12 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 144 ]), &(acadoWorkspace.evGu[ 48 ]), &(acadoWorkspace.x[ 4 ]), &(acadoWorkspace.sbar[ 12 ]), &(acadoWorkspace.sbar[ 24 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 288 ]), &(acadoWorkspace.evGu[ 96 ]), &(acadoWorkspace.x[ 8 ]), &(acadoWorkspace.sbar[ 24 ]), &(acadoWorkspace.sbar[ 36 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 432 ]), &(acadoWorkspace.evGu[ 144 ]), &(acadoWorkspace.x[ 12 ]), &(acadoWorkspace.sbar[ 36 ]), &(acadoWorkspace.sbar[ 48 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 576 ]), &(acadoWorkspace.evGu[ 192 ]), &(acadoWorkspace.x[ 16 ]), &(acadoWorkspace.sbar[ 48 ]), &(acadoWorkspace.sbar[ 60 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 720 ]), &(acadoWorkspace.evGu[ 240 ]), &(acadoWorkspace.x[ 20 ]), &(acadoWorkspace.sbar[ 60 ]), &(acadoWorkspace.sbar[ 72 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 864 ]), &(acadoWorkspace.evGu[ 288 ]), &(acadoWorkspace.x[ 24 ]), &(acadoWorkspace.sbar[ 72 ]), &(acadoWorkspace.sbar[ 84 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 1008 ]), &(acadoWorkspace.evGu[ 336 ]), &(acadoWorkspace.x[ 28 ]), &(acadoWorkspace.sbar[ 84 ]), &(acadoWorkspace.sbar[ 96 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 1152 ]), &(acadoWorkspace.evGu[ 384 ]), &(acadoWorkspace.x[ 32 ]), &(acadoWorkspace.sbar[ 96 ]), &(acadoWorkspace.sbar[ 108 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 1296 ]), &(acadoWorkspace.evGu[ 432 ]), &(acadoWorkspace.x[ 36 ]), &(acadoWorkspace.sbar[ 108 ]), &(acadoWorkspace.sbar[ 120 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 1440 ]), &(acadoWorkspace.evGu[ 480 ]), &(acadoWorkspace.x[ 40 ]), &(acadoWorkspace.sbar[ 120 ]), &(acadoWorkspace.sbar[ 132 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 1584 ]), &(acadoWorkspace.evGu[ 528 ]), &(acadoWorkspace.x[ 44 ]), &(acadoWorkspace.sbar[ 132 ]), &(acadoWorkspace.sbar[ 144 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 1728 ]), &(acadoWorkspace.evGu[ 576 ]), &(acadoWorkspace.x[ 48 ]), &(acadoWorkspace.sbar[ 144 ]), &(acadoWorkspace.sbar[ 156 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 1872 ]), &(acadoWorkspace.evGu[ 624 ]), &(acadoWorkspace.x[ 52 ]), &(acadoWorkspace.sbar[ 156 ]), &(acadoWorkspace.sbar[ 168 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 2016 ]), &(acadoWorkspace.evGu[ 672 ]), &(acadoWorkspace.x[ 56 ]), &(acadoWorkspace.sbar[ 168 ]), &(acadoWorkspace.sbar[ 180 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 2160 ]), &(acadoWorkspace.evGu[ 720 ]), &(acadoWorkspace.x[ 60 ]), &(acadoWorkspace.sbar[ 180 ]), &(acadoWorkspace.sbar[ 192 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 2304 ]), &(acadoWorkspace.evGu[ 768 ]), &(acadoWorkspace.x[ 64 ]), &(acadoWorkspace.sbar[ 192 ]), &(acadoWorkspace.sbar[ 204 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 2448 ]), &(acadoWorkspace.evGu[ 816 ]), &(acadoWorkspace.x[ 68 ]), &(acadoWorkspace.sbar[ 204 ]), &(acadoWorkspace.sbar[ 216 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 2592 ]), &(acadoWorkspace.evGu[ 864 ]), &(acadoWorkspace.x[ 72 ]), &(acadoWorkspace.sbar[ 216 ]), &(acadoWorkspace.sbar[ 228 ]) ); -acado_expansionStep( &(acadoWorkspace.evGx[ 2736 ]), &(acadoWorkspace.evGu[ 912 ]), &(acadoWorkspace.x[ 76 ]), &(acadoWorkspace.sbar[ 228 ]), &(acadoWorkspace.sbar[ 240 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 144 ]), &(acadoWorkspace.evGu[ 72 ]), &(acadoWorkspace.x[ 6 ]), &(acadoWorkspace.sbar[ 12 ]), &(acadoWorkspace.sbar[ 24 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 288 ]), &(acadoWorkspace.evGu[ 144 ]), &(acadoWorkspace.x[ 12 ]), &(acadoWorkspace.sbar[ 24 ]), &(acadoWorkspace.sbar[ 36 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 432 ]), &(acadoWorkspace.evGu[ 216 ]), &(acadoWorkspace.x[ 18 ]), &(acadoWorkspace.sbar[ 36 ]), &(acadoWorkspace.sbar[ 48 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 576 ]), &(acadoWorkspace.evGu[ 288 ]), &(acadoWorkspace.x[ 24 ]), &(acadoWorkspace.sbar[ 48 ]), &(acadoWorkspace.sbar[ 60 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 720 ]), &(acadoWorkspace.evGu[ 360 ]), &(acadoWorkspace.x[ 30 ]), &(acadoWorkspace.sbar[ 60 ]), &(acadoWorkspace.sbar[ 72 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 864 ]), &(acadoWorkspace.evGu[ 432 ]), &(acadoWorkspace.x[ 36 ]), &(acadoWorkspace.sbar[ 72 ]), &(acadoWorkspace.sbar[ 84 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1008 ]), &(acadoWorkspace.evGu[ 504 ]), &(acadoWorkspace.x[ 42 ]), &(acadoWorkspace.sbar[ 84 ]), &(acadoWorkspace.sbar[ 96 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1152 ]), &(acadoWorkspace.evGu[ 576 ]), &(acadoWorkspace.x[ 48 ]), &(acadoWorkspace.sbar[ 96 ]), &(acadoWorkspace.sbar[ 108 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1296 ]), &(acadoWorkspace.evGu[ 648 ]), &(acadoWorkspace.x[ 54 ]), &(acadoWorkspace.sbar[ 108 ]), &(acadoWorkspace.sbar[ 120 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1440 ]), &(acadoWorkspace.evGu[ 720 ]), &(acadoWorkspace.x[ 60 ]), &(acadoWorkspace.sbar[ 120 ]), &(acadoWorkspace.sbar[ 132 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1584 ]), &(acadoWorkspace.evGu[ 792 ]), &(acadoWorkspace.x[ 66 ]), &(acadoWorkspace.sbar[ 132 ]), &(acadoWorkspace.sbar[ 144 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1728 ]), &(acadoWorkspace.evGu[ 864 ]), &(acadoWorkspace.x[ 72 ]), &(acadoWorkspace.sbar[ 144 ]), &(acadoWorkspace.sbar[ 156 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 1872 ]), &(acadoWorkspace.evGu[ 936 ]), &(acadoWorkspace.x[ 78 ]), &(acadoWorkspace.sbar[ 156 ]), &(acadoWorkspace.sbar[ 168 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2016 ]), &(acadoWorkspace.evGu[ 1008 ]), &(acadoWorkspace.x[ 84 ]), &(acadoWorkspace.sbar[ 168 ]), &(acadoWorkspace.sbar[ 180 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2160 ]), &(acadoWorkspace.evGu[ 1080 ]), &(acadoWorkspace.x[ 90 ]), &(acadoWorkspace.sbar[ 180 ]), &(acadoWorkspace.sbar[ 192 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2304 ]), &(acadoWorkspace.evGu[ 1152 ]), &(acadoWorkspace.x[ 96 ]), &(acadoWorkspace.sbar[ 192 ]), &(acadoWorkspace.sbar[ 204 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2448 ]), &(acadoWorkspace.evGu[ 1224 ]), &(acadoWorkspace.x[ 102 ]), &(acadoWorkspace.sbar[ 204 ]), &(acadoWorkspace.sbar[ 216 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2592 ]), &(acadoWorkspace.evGu[ 1296 ]), &(acadoWorkspace.x[ 108 ]), &(acadoWorkspace.sbar[ 216 ]), &(acadoWorkspace.sbar[ 228 ]) ); +acado_expansionStep( &(acadoWorkspace.evGx[ 2736 ]), &(acadoWorkspace.evGu[ 1368 ]), &(acadoWorkspace.x[ 114 ]), &(acadoWorkspace.sbar[ 228 ]), &(acadoWorkspace.sbar[ 240 ]) ); for (lRun1 = 0; lRun1 < 252; ++lRun1) acadoVariables.x[lRun1] += acadoWorkspace.sbar[lRun1]; @@ -2127,166 +2733,366 @@ int ret; ret = 0; memset(&acadoWorkspace, 0, sizeof( acadoWorkspace )); -acadoVariables.lbValues[0] = -6.0000000000000000e+00; -acadoVariables.lbValues[1] = -6.0000000000000000e+00; -acadoVariables.lbValues[2] = -6.0000000000000000e+00; -acadoVariables.lbValues[3] = -6.0000000000000000e+00; -acadoVariables.lbValues[4] = -6.0000000000000000e+00; -acadoVariables.lbValues[5] = -6.0000000000000000e+00; -acadoVariables.lbValues[6] = -6.0000000000000000e+00; -acadoVariables.lbValues[7] = -6.0000000000000000e+00; -acadoVariables.lbValues[8] = -6.0000000000000000e+00; -acadoVariables.lbValues[9] = -6.0000000000000000e+00; -acadoVariables.lbValues[10] = -6.0000000000000000e+00; -acadoVariables.lbValues[11] = -6.0000000000000000e+00; -acadoVariables.lbValues[12] = -6.0000000000000000e+00; -acadoVariables.lbValues[13] = -6.0000000000000000e+00; -acadoVariables.lbValues[14] = -6.0000000000000000e+00; -acadoVariables.lbValues[15] = -6.0000000000000000e+00; -acadoVariables.lbValues[16] = -6.0000000000000000e+00; -acadoVariables.lbValues[17] = -6.0000000000000000e+00; -acadoVariables.lbValues[18] = -6.0000000000000000e+00; -acadoVariables.lbValues[19] = -6.0000000000000000e+00; -acadoVariables.lbValues[20] = -6.0000000000000000e+00; -acadoVariables.lbValues[21] = -6.0000000000000000e+00; -acadoVariables.lbValues[22] = -6.0000000000000000e+00; -acadoVariables.lbValues[23] = -6.0000000000000000e+00; -acadoVariables.lbValues[24] = -6.0000000000000000e+00; -acadoVariables.lbValues[25] = -6.0000000000000000e+00; -acadoVariables.lbValues[26] = -6.0000000000000000e+00; -acadoVariables.lbValues[27] = -6.0000000000000000e+00; -acadoVariables.lbValues[28] = -6.0000000000000000e+00; -acadoVariables.lbValues[29] = -6.0000000000000000e+00; -acadoVariables.lbValues[30] = -6.0000000000000000e+00; -acadoVariables.lbValues[31] = -6.0000000000000000e+00; -acadoVariables.lbValues[32] = -6.0000000000000000e+00; -acadoVariables.lbValues[33] = -6.0000000000000000e+00; -acadoVariables.lbValues[34] = -6.0000000000000000e+00; -acadoVariables.lbValues[35] = -6.0000000000000000e+00; -acadoVariables.lbValues[36] = -6.0000000000000000e+00; -acadoVariables.lbValues[37] = -6.0000000000000000e+00; -acadoVariables.lbValues[38] = -6.0000000000000000e+00; -acadoVariables.lbValues[39] = -6.0000000000000000e+00; -acadoVariables.lbValues[40] = -6.0000000000000000e+00; -acadoVariables.lbValues[41] = -6.0000000000000000e+00; -acadoVariables.lbValues[42] = -6.0000000000000000e+00; -acadoVariables.lbValues[43] = -6.0000000000000000e+00; -acadoVariables.lbValues[44] = -6.0000000000000000e+00; -acadoVariables.lbValues[45] = -6.0000000000000000e+00; -acadoVariables.lbValues[46] = -6.0000000000000000e+00; -acadoVariables.lbValues[47] = -6.0000000000000000e+00; -acadoVariables.lbValues[48] = -6.0000000000000000e+00; -acadoVariables.lbValues[49] = -6.0000000000000000e+00; -acadoVariables.lbValues[50] = -6.0000000000000000e+00; -acadoVariables.lbValues[51] = -6.0000000000000000e+00; -acadoVariables.lbValues[52] = -6.0000000000000000e+00; -acadoVariables.lbValues[53] = -6.0000000000000000e+00; -acadoVariables.lbValues[54] = -6.0000000000000000e+00; -acadoVariables.lbValues[55] = -6.0000000000000000e+00; -acadoVariables.lbValues[56] = -6.0000000000000000e+00; -acadoVariables.lbValues[57] = -6.0000000000000000e+00; -acadoVariables.lbValues[58] = -6.0000000000000000e+00; -acadoVariables.lbValues[59] = -6.0000000000000000e+00; -acadoVariables.lbValues[60] = -6.0000000000000000e+00; -acadoVariables.lbValues[61] = -6.0000000000000000e+00; -acadoVariables.lbValues[62] = -6.0000000000000000e+00; -acadoVariables.lbValues[63] = -6.0000000000000000e+00; -acadoVariables.lbValues[64] = -6.0000000000000000e+00; -acadoVariables.lbValues[65] = -6.0000000000000000e+00; -acadoVariables.lbValues[66] = -6.0000000000000000e+00; -acadoVariables.lbValues[67] = -6.0000000000000000e+00; -acadoVariables.lbValues[68] = -6.0000000000000000e+00; -acadoVariables.lbValues[69] = -6.0000000000000000e+00; -acadoVariables.lbValues[70] = -6.0000000000000000e+00; -acadoVariables.lbValues[71] = -6.0000000000000000e+00; -acadoVariables.lbValues[72] = -6.0000000000000000e+00; -acadoVariables.lbValues[73] = -6.0000000000000000e+00; -acadoVariables.lbValues[74] = -6.0000000000000000e+00; -acadoVariables.lbValues[75] = -6.0000000000000000e+00; -acadoVariables.lbValues[76] = -6.0000000000000000e+00; -acadoVariables.lbValues[77] = -6.0000000000000000e+00; -acadoVariables.lbValues[78] = -6.0000000000000000e+00; -acadoVariables.lbValues[79] = -6.0000000000000000e+00; -acadoVariables.ubValues[0] = 6.0000000000000000e+00; -acadoVariables.ubValues[1] = 6.0000000000000000e+00; -acadoVariables.ubValues[2] = 6.0000000000000000e+00; -acadoVariables.ubValues[3] = 6.0000000000000000e+00; -acadoVariables.ubValues[4] = 6.0000000000000000e+00; -acadoVariables.ubValues[5] = 6.0000000000000000e+00; -acadoVariables.ubValues[6] = 6.0000000000000000e+00; -acadoVariables.ubValues[7] = 6.0000000000000000e+00; -acadoVariables.ubValues[8] = 6.0000000000000000e+00; -acadoVariables.ubValues[9] = 6.0000000000000000e+00; -acadoVariables.ubValues[10] = 6.0000000000000000e+00; -acadoVariables.ubValues[11] = 6.0000000000000000e+00; -acadoVariables.ubValues[12] = 6.0000000000000000e+00; -acadoVariables.ubValues[13] = 6.0000000000000000e+00; -acadoVariables.ubValues[14] = 6.0000000000000000e+00; -acadoVariables.ubValues[15] = 6.0000000000000000e+00; -acadoVariables.ubValues[16] = 6.0000000000000000e+00; -acadoVariables.ubValues[17] = 6.0000000000000000e+00; -acadoVariables.ubValues[18] = 6.0000000000000000e+00; -acadoVariables.ubValues[19] = 6.0000000000000000e+00; -acadoVariables.ubValues[20] = 6.0000000000000000e+00; -acadoVariables.ubValues[21] = 6.0000000000000000e+00; -acadoVariables.ubValues[22] = 6.0000000000000000e+00; -acadoVariables.ubValues[23] = 6.0000000000000000e+00; -acadoVariables.ubValues[24] = 6.0000000000000000e+00; -acadoVariables.ubValues[25] = 6.0000000000000000e+00; -acadoVariables.ubValues[26] = 6.0000000000000000e+00; -acadoVariables.ubValues[27] = 6.0000000000000000e+00; -acadoVariables.ubValues[28] = 6.0000000000000000e+00; -acadoVariables.ubValues[29] = 6.0000000000000000e+00; -acadoVariables.ubValues[30] = 6.0000000000000000e+00; -acadoVariables.ubValues[31] = 6.0000000000000000e+00; -acadoVariables.ubValues[32] = 6.0000000000000000e+00; -acadoVariables.ubValues[33] = 6.0000000000000000e+00; -acadoVariables.ubValues[34] = 6.0000000000000000e+00; -acadoVariables.ubValues[35] = 6.0000000000000000e+00; -acadoVariables.ubValues[36] = 6.0000000000000000e+00; -acadoVariables.ubValues[37] = 6.0000000000000000e+00; -acadoVariables.ubValues[38] = 6.0000000000000000e+00; -acadoVariables.ubValues[39] = 6.0000000000000000e+00; -acadoVariables.ubValues[40] = 6.0000000000000000e+00; -acadoVariables.ubValues[41] = 6.0000000000000000e+00; -acadoVariables.ubValues[42] = 6.0000000000000000e+00; -acadoVariables.ubValues[43] = 6.0000000000000000e+00; -acadoVariables.ubValues[44] = 6.0000000000000000e+00; -acadoVariables.ubValues[45] = 6.0000000000000000e+00; -acadoVariables.ubValues[46] = 6.0000000000000000e+00; -acadoVariables.ubValues[47] = 6.0000000000000000e+00; -acadoVariables.ubValues[48] = 6.0000000000000000e+00; -acadoVariables.ubValues[49] = 6.0000000000000000e+00; -acadoVariables.ubValues[50] = 6.0000000000000000e+00; -acadoVariables.ubValues[51] = 6.0000000000000000e+00; -acadoVariables.ubValues[52] = 6.0000000000000000e+00; -acadoVariables.ubValues[53] = 6.0000000000000000e+00; -acadoVariables.ubValues[54] = 6.0000000000000000e+00; -acadoVariables.ubValues[55] = 6.0000000000000000e+00; -acadoVariables.ubValues[56] = 6.0000000000000000e+00; -acadoVariables.ubValues[57] = 6.0000000000000000e+00; -acadoVariables.ubValues[58] = 6.0000000000000000e+00; -acadoVariables.ubValues[59] = 6.0000000000000000e+00; -acadoVariables.ubValues[60] = 6.0000000000000000e+00; -acadoVariables.ubValues[61] = 6.0000000000000000e+00; -acadoVariables.ubValues[62] = 6.0000000000000000e+00; -acadoVariables.ubValues[63] = 6.0000000000000000e+00; -acadoVariables.ubValues[64] = 6.0000000000000000e+00; -acadoVariables.ubValues[65] = 6.0000000000000000e+00; -acadoVariables.ubValues[66] = 6.0000000000000000e+00; -acadoVariables.ubValues[67] = 6.0000000000000000e+00; -acadoVariables.ubValues[68] = 6.0000000000000000e+00; -acadoVariables.ubValues[69] = 6.0000000000000000e+00; -acadoVariables.ubValues[70] = 6.0000000000000000e+00; -acadoVariables.ubValues[71] = 6.0000000000000000e+00; -acadoVariables.ubValues[72] = 6.0000000000000000e+00; -acadoVariables.ubValues[73] = 6.0000000000000000e+00; -acadoVariables.ubValues[74] = 6.0000000000000000e+00; -acadoVariables.ubValues[75] = 6.0000000000000000e+00; -acadoVariables.ubValues[76] = 6.0000000000000000e+00; -acadoVariables.ubValues[77] = 6.0000000000000000e+00; -acadoVariables.ubValues[78] = 6.0000000000000000e+00; -acadoVariables.ubValues[79] = 6.0000000000000000e+00; +acadoVariables.lbValues[0] = -8.0000000000000000e+00; +acadoVariables.lbValues[1] = -8.0000000000000000e+00; +acadoVariables.lbValues[2] = -8.0000000000000000e+00; +acadoVariables.lbValues[3] = -8.0000000000000000e+00; +acadoVariables.lbValues[4] = -8.0000000000000000e+00; +acadoVariables.lbValues[5] = -8.0000000000000000e+00; +acadoVariables.lbValues[6] = -8.0000000000000000e+00; +acadoVariables.lbValues[7] = -8.0000000000000000e+00; +acadoVariables.lbValues[8] = -8.0000000000000000e+00; +acadoVariables.lbValues[9] = -8.0000000000000000e+00; +acadoVariables.lbValues[10] = -8.0000000000000000e+00; +acadoVariables.lbValues[11] = -8.0000000000000000e+00; +acadoVariables.lbValues[12] = -8.0000000000000000e+00; +acadoVariables.lbValues[13] = -8.0000000000000000e+00; +acadoVariables.lbValues[14] = -8.0000000000000000e+00; +acadoVariables.lbValues[15] = -8.0000000000000000e+00; +acadoVariables.lbValues[16] = -8.0000000000000000e+00; +acadoVariables.lbValues[17] = -8.0000000000000000e+00; +acadoVariables.lbValues[18] = -8.0000000000000000e+00; +acadoVariables.lbValues[19] = -8.0000000000000000e+00; +acadoVariables.lbValues[20] = -8.0000000000000000e+00; +acadoVariables.lbValues[21] = -8.0000000000000000e+00; +acadoVariables.lbValues[22] = -8.0000000000000000e+00; +acadoVariables.lbValues[23] = -8.0000000000000000e+00; +acadoVariables.lbValues[24] = -8.0000000000000000e+00; +acadoVariables.lbValues[25] = -8.0000000000000000e+00; +acadoVariables.lbValues[26] = -8.0000000000000000e+00; +acadoVariables.lbValues[27] = -8.0000000000000000e+00; +acadoVariables.lbValues[28] = -8.0000000000000000e+00; +acadoVariables.lbValues[29] = -8.0000000000000000e+00; +acadoVariables.lbValues[30] = -8.0000000000000000e+00; +acadoVariables.lbValues[31] = -8.0000000000000000e+00; +acadoVariables.lbValues[32] = -8.0000000000000000e+00; +acadoVariables.lbValues[33] = -8.0000000000000000e+00; +acadoVariables.lbValues[34] = -8.0000000000000000e+00; +acadoVariables.lbValues[35] = -8.0000000000000000e+00; +acadoVariables.lbValues[36] = -8.0000000000000000e+00; +acadoVariables.lbValues[37] = -8.0000000000000000e+00; +acadoVariables.lbValues[38] = -8.0000000000000000e+00; +acadoVariables.lbValues[39] = -8.0000000000000000e+00; +acadoVariables.lbValues[40] = -8.0000000000000000e+00; +acadoVariables.lbValues[41] = -8.0000000000000000e+00; +acadoVariables.lbValues[42] = -8.0000000000000000e+00; +acadoVariables.lbValues[43] = -8.0000000000000000e+00; +acadoVariables.lbValues[44] = -8.0000000000000000e+00; +acadoVariables.lbValues[45] = -8.0000000000000000e+00; +acadoVariables.lbValues[46] = -8.0000000000000000e+00; +acadoVariables.lbValues[47] = -8.0000000000000000e+00; +acadoVariables.lbValues[48] = -8.0000000000000000e+00; +acadoVariables.lbValues[49] = -8.0000000000000000e+00; +acadoVariables.lbValues[50] = -8.0000000000000000e+00; +acadoVariables.lbValues[51] = -8.0000000000000000e+00; +acadoVariables.lbValues[52] = -8.0000000000000000e+00; +acadoVariables.lbValues[53] = -8.0000000000000000e+00; +acadoVariables.lbValues[54] = -8.0000000000000000e+00; +acadoVariables.lbValues[55] = -8.0000000000000000e+00; +acadoVariables.lbValues[56] = -8.0000000000000000e+00; +acadoVariables.lbValues[57] = -8.0000000000000000e+00; +acadoVariables.lbValues[58] = -8.0000000000000000e+00; +acadoVariables.lbValues[59] = -8.0000000000000000e+00; +acadoVariables.lbValues[60] = -8.0000000000000000e+00; +acadoVariables.lbValues[61] = -8.0000000000000000e+00; +acadoVariables.lbValues[62] = -8.0000000000000000e+00; +acadoVariables.lbValues[63] = -8.0000000000000000e+00; +acadoVariables.lbValues[64] = -8.0000000000000000e+00; +acadoVariables.lbValues[65] = -8.0000000000000000e+00; +acadoVariables.lbValues[66] = -8.0000000000000000e+00; +acadoVariables.lbValues[67] = -8.0000000000000000e+00; +acadoVariables.lbValues[68] = -8.0000000000000000e+00; +acadoVariables.lbValues[69] = -8.0000000000000000e+00; +acadoVariables.lbValues[70] = -8.0000000000000000e+00; +acadoVariables.lbValues[71] = -8.0000000000000000e+00; +acadoVariables.lbValues[72] = -8.0000000000000000e+00; +acadoVariables.lbValues[73] = -8.0000000000000000e+00; +acadoVariables.lbValues[74] = -8.0000000000000000e+00; +acadoVariables.lbValues[75] = -8.0000000000000000e+00; +acadoVariables.lbValues[76] = -8.0000000000000000e+00; +acadoVariables.lbValues[77] = -8.0000000000000000e+00; +acadoVariables.lbValues[78] = -8.0000000000000000e+00; +acadoVariables.lbValues[79] = -8.0000000000000000e+00; +acadoVariables.lbValues[80] = -8.0000000000000000e+00; +acadoVariables.lbValues[81] = -8.0000000000000000e+00; +acadoVariables.lbValues[82] = -8.0000000000000000e+00; +acadoVariables.lbValues[83] = -8.0000000000000000e+00; +acadoVariables.lbValues[84] = -8.0000000000000000e+00; +acadoVariables.lbValues[85] = -8.0000000000000000e+00; +acadoVariables.lbValues[86] = -8.0000000000000000e+00; +acadoVariables.lbValues[87] = -8.0000000000000000e+00; +acadoVariables.lbValues[88] = -8.0000000000000000e+00; +acadoVariables.lbValues[89] = -8.0000000000000000e+00; +acadoVariables.lbValues[90] = -8.0000000000000000e+00; +acadoVariables.lbValues[91] = -8.0000000000000000e+00; +acadoVariables.lbValues[92] = -8.0000000000000000e+00; +acadoVariables.lbValues[93] = -8.0000000000000000e+00; +acadoVariables.lbValues[94] = -8.0000000000000000e+00; +acadoVariables.lbValues[95] = -8.0000000000000000e+00; +acadoVariables.lbValues[96] = -8.0000000000000000e+00; +acadoVariables.lbValues[97] = -8.0000000000000000e+00; +acadoVariables.lbValues[98] = -8.0000000000000000e+00; +acadoVariables.lbValues[99] = -8.0000000000000000e+00; +acadoVariables.lbValues[100] = -8.0000000000000000e+00; +acadoVariables.lbValues[101] = -8.0000000000000000e+00; +acadoVariables.lbValues[102] = -8.0000000000000000e+00; +acadoVariables.lbValues[103] = -8.0000000000000000e+00; +acadoVariables.lbValues[104] = -8.0000000000000000e+00; +acadoVariables.lbValues[105] = -8.0000000000000000e+00; +acadoVariables.lbValues[106] = -8.0000000000000000e+00; +acadoVariables.lbValues[107] = -8.0000000000000000e+00; +acadoVariables.lbValues[108] = -8.0000000000000000e+00; +acadoVariables.lbValues[109] = -8.0000000000000000e+00; +acadoVariables.lbValues[110] = -8.0000000000000000e+00; +acadoVariables.lbValues[111] = -8.0000000000000000e+00; +acadoVariables.lbValues[112] = -8.0000000000000000e+00; +acadoVariables.lbValues[113] = -8.0000000000000000e+00; +acadoVariables.lbValues[114] = -8.0000000000000000e+00; +acadoVariables.lbValues[115] = -8.0000000000000000e+00; +acadoVariables.lbValues[116] = -8.0000000000000000e+00; +acadoVariables.lbValues[117] = -8.0000000000000000e+00; +acadoVariables.lbValues[118] = -8.0000000000000000e+00; +acadoVariables.lbValues[119] = -8.0000000000000000e+00; +acadoVariables.ubValues[0] = 8.0000000000000000e+00; +acadoVariables.ubValues[1] = 8.0000000000000000e+00; +acadoVariables.ubValues[2] = 8.0000000000000000e+00; +acadoVariables.ubValues[3] = 8.0000000000000000e+00; +acadoVariables.ubValues[4] = 8.0000000000000000e+00; +acadoVariables.ubValues[5] = 8.0000000000000000e+00; +acadoVariables.ubValues[6] = 8.0000000000000000e+00; +acadoVariables.ubValues[7] = 8.0000000000000000e+00; +acadoVariables.ubValues[8] = 8.0000000000000000e+00; +acadoVariables.ubValues[9] = 8.0000000000000000e+00; +acadoVariables.ubValues[10] = 8.0000000000000000e+00; +acadoVariables.ubValues[11] = 8.0000000000000000e+00; +acadoVariables.ubValues[12] = 8.0000000000000000e+00; +acadoVariables.ubValues[13] = 8.0000000000000000e+00; +acadoVariables.ubValues[14] = 8.0000000000000000e+00; +acadoVariables.ubValues[15] = 8.0000000000000000e+00; +acadoVariables.ubValues[16] = 8.0000000000000000e+00; +acadoVariables.ubValues[17] = 8.0000000000000000e+00; +acadoVariables.ubValues[18] = 8.0000000000000000e+00; +acadoVariables.ubValues[19] = 8.0000000000000000e+00; +acadoVariables.ubValues[20] = 8.0000000000000000e+00; +acadoVariables.ubValues[21] = 8.0000000000000000e+00; +acadoVariables.ubValues[22] = 8.0000000000000000e+00; +acadoVariables.ubValues[23] = 8.0000000000000000e+00; +acadoVariables.ubValues[24] = 8.0000000000000000e+00; +acadoVariables.ubValues[25] = 8.0000000000000000e+00; +acadoVariables.ubValues[26] = 8.0000000000000000e+00; +acadoVariables.ubValues[27] = 8.0000000000000000e+00; +acadoVariables.ubValues[28] = 8.0000000000000000e+00; +acadoVariables.ubValues[29] = 8.0000000000000000e+00; +acadoVariables.ubValues[30] = 8.0000000000000000e+00; +acadoVariables.ubValues[31] = 8.0000000000000000e+00; +acadoVariables.ubValues[32] = 8.0000000000000000e+00; +acadoVariables.ubValues[33] = 8.0000000000000000e+00; +acadoVariables.ubValues[34] = 8.0000000000000000e+00; +acadoVariables.ubValues[35] = 8.0000000000000000e+00; +acadoVariables.ubValues[36] = 8.0000000000000000e+00; +acadoVariables.ubValues[37] = 8.0000000000000000e+00; +acadoVariables.ubValues[38] = 8.0000000000000000e+00; +acadoVariables.ubValues[39] = 8.0000000000000000e+00; +acadoVariables.ubValues[40] = 8.0000000000000000e+00; +acadoVariables.ubValues[41] = 8.0000000000000000e+00; +acadoVariables.ubValues[42] = 8.0000000000000000e+00; +acadoVariables.ubValues[43] = 8.0000000000000000e+00; +acadoVariables.ubValues[44] = 8.0000000000000000e+00; +acadoVariables.ubValues[45] = 8.0000000000000000e+00; +acadoVariables.ubValues[46] = 8.0000000000000000e+00; +acadoVariables.ubValues[47] = 8.0000000000000000e+00; +acadoVariables.ubValues[48] = 8.0000000000000000e+00; +acadoVariables.ubValues[49] = 8.0000000000000000e+00; +acadoVariables.ubValues[50] = 8.0000000000000000e+00; +acadoVariables.ubValues[51] = 8.0000000000000000e+00; +acadoVariables.ubValues[52] = 8.0000000000000000e+00; +acadoVariables.ubValues[53] = 8.0000000000000000e+00; +acadoVariables.ubValues[54] = 8.0000000000000000e+00; +acadoVariables.ubValues[55] = 8.0000000000000000e+00; +acadoVariables.ubValues[56] = 8.0000000000000000e+00; +acadoVariables.ubValues[57] = 8.0000000000000000e+00; +acadoVariables.ubValues[58] = 8.0000000000000000e+00; +acadoVariables.ubValues[59] = 8.0000000000000000e+00; +acadoVariables.ubValues[60] = 8.0000000000000000e+00; +acadoVariables.ubValues[61] = 8.0000000000000000e+00; +acadoVariables.ubValues[62] = 8.0000000000000000e+00; +acadoVariables.ubValues[63] = 8.0000000000000000e+00; +acadoVariables.ubValues[64] = 8.0000000000000000e+00; +acadoVariables.ubValues[65] = 8.0000000000000000e+00; +acadoVariables.ubValues[66] = 8.0000000000000000e+00; +acadoVariables.ubValues[67] = 8.0000000000000000e+00; +acadoVariables.ubValues[68] = 8.0000000000000000e+00; +acadoVariables.ubValues[69] = 8.0000000000000000e+00; +acadoVariables.ubValues[70] = 8.0000000000000000e+00; +acadoVariables.ubValues[71] = 8.0000000000000000e+00; +acadoVariables.ubValues[72] = 8.0000000000000000e+00; +acadoVariables.ubValues[73] = 8.0000000000000000e+00; +acadoVariables.ubValues[74] = 8.0000000000000000e+00; +acadoVariables.ubValues[75] = 8.0000000000000000e+00; +acadoVariables.ubValues[76] = 8.0000000000000000e+00; +acadoVariables.ubValues[77] = 8.0000000000000000e+00; +acadoVariables.ubValues[78] = 8.0000000000000000e+00; +acadoVariables.ubValues[79] = 8.0000000000000000e+00; +acadoVariables.ubValues[80] = 8.0000000000000000e+00; +acadoVariables.ubValues[81] = 8.0000000000000000e+00; +acadoVariables.ubValues[82] = 8.0000000000000000e+00; +acadoVariables.ubValues[83] = 8.0000000000000000e+00; +acadoVariables.ubValues[84] = 8.0000000000000000e+00; +acadoVariables.ubValues[85] = 8.0000000000000000e+00; +acadoVariables.ubValues[86] = 8.0000000000000000e+00; +acadoVariables.ubValues[87] = 8.0000000000000000e+00; +acadoVariables.ubValues[88] = 8.0000000000000000e+00; +acadoVariables.ubValues[89] = 8.0000000000000000e+00; +acadoVariables.ubValues[90] = 8.0000000000000000e+00; +acadoVariables.ubValues[91] = 8.0000000000000000e+00; +acadoVariables.ubValues[92] = 8.0000000000000000e+00; +acadoVariables.ubValues[93] = 8.0000000000000000e+00; +acadoVariables.ubValues[94] = 8.0000000000000000e+00; +acadoVariables.ubValues[95] = 8.0000000000000000e+00; +acadoVariables.ubValues[96] = 8.0000000000000000e+00; +acadoVariables.ubValues[97] = 8.0000000000000000e+00; +acadoVariables.ubValues[98] = 8.0000000000000000e+00; +acadoVariables.ubValues[99] = 8.0000000000000000e+00; +acadoVariables.ubValues[100] = 8.0000000000000000e+00; +acadoVariables.ubValues[101] = 8.0000000000000000e+00; +acadoVariables.ubValues[102] = 8.0000000000000000e+00; +acadoVariables.ubValues[103] = 8.0000000000000000e+00; +acadoVariables.ubValues[104] = 8.0000000000000000e+00; +acadoVariables.ubValues[105] = 8.0000000000000000e+00; +acadoVariables.ubValues[106] = 8.0000000000000000e+00; +acadoVariables.ubValues[107] = 8.0000000000000000e+00; +acadoVariables.ubValues[108] = 8.0000000000000000e+00; +acadoVariables.ubValues[109] = 8.0000000000000000e+00; +acadoVariables.ubValues[110] = 8.0000000000000000e+00; +acadoVariables.ubValues[111] = 8.0000000000000000e+00; +acadoVariables.ubValues[112] = 8.0000000000000000e+00; +acadoVariables.ubValues[113] = 8.0000000000000000e+00; +acadoVariables.ubValues[114] = 8.0000000000000000e+00; +acadoVariables.ubValues[115] = 8.0000000000000000e+00; +acadoVariables.ubValues[116] = 8.0000000000000000e+00; +acadoVariables.ubValues[117] = 8.0000000000000000e+00; +acadoVariables.ubValues[118] = 8.0000000000000000e+00; +acadoVariables.ubValues[119] = 8.0000000000000000e+00; +acadoVariables.lbAValues[0] = -2.5000000000000000e+00; +acadoVariables.lbAValues[1] = -2.5000000000000000e+00; +acadoVariables.lbAValues[2] = -2.5000000000000000e+00; +acadoVariables.lbAValues[3] = -2.5000000000000000e+00; +acadoVariables.lbAValues[4] = -2.5000000000000000e+00; +acadoVariables.lbAValues[5] = -2.5000000000000000e+00; +acadoVariables.lbAValues[6] = -2.5000000000000000e+00; +acadoVariables.lbAValues[7] = -2.5000000000000000e+00; +acadoVariables.lbAValues[8] = -2.5000000000000000e+00; +acadoVariables.lbAValues[9] = -2.5000000000000000e+00; +acadoVariables.lbAValues[10] = -2.5000000000000000e+00; +acadoVariables.lbAValues[11] = -2.5000000000000000e+00; +acadoVariables.lbAValues[12] = -2.5000000000000000e+00; +acadoVariables.lbAValues[13] = -2.5000000000000000e+00; +acadoVariables.lbAValues[14] = -2.5000000000000000e+00; +acadoVariables.lbAValues[15] = -2.5000000000000000e+00; +acadoVariables.lbAValues[16] = -2.5000000000000000e+00; +acadoVariables.lbAValues[17] = -2.5000000000000000e+00; +acadoVariables.lbAValues[18] = -2.5000000000000000e+00; +acadoVariables.lbAValues[19] = -2.5000000000000000e+00; +acadoVariables.lbAValues[20] = -2.5000000000000000e+00; +acadoVariables.lbAValues[21] = -2.5000000000000000e+00; +acadoVariables.lbAValues[22] = -2.5000000000000000e+00; +acadoVariables.lbAValues[23] = -2.5000000000000000e+00; +acadoVariables.lbAValues[24] = -2.5000000000000000e+00; +acadoVariables.lbAValues[25] = -2.5000000000000000e+00; +acadoVariables.lbAValues[26] = -2.5000000000000000e+00; +acadoVariables.lbAValues[27] = -2.5000000000000000e+00; +acadoVariables.lbAValues[28] = -2.5000000000000000e+00; +acadoVariables.lbAValues[29] = -2.5000000000000000e+00; +acadoVariables.lbAValues[30] = -2.5000000000000000e+00; +acadoVariables.lbAValues[31] = -2.5000000000000000e+00; +acadoVariables.lbAValues[32] = -2.5000000000000000e+00; +acadoVariables.lbAValues[33] = -2.5000000000000000e+00; +acadoVariables.lbAValues[34] = -2.5000000000000000e+00; +acadoVariables.lbAValues[35] = -2.5000000000000000e+00; +acadoVariables.lbAValues[36] = -2.5000000000000000e+00; +acadoVariables.lbAValues[37] = -2.5000000000000000e+00; +acadoVariables.lbAValues[38] = -2.5000000000000000e+00; +acadoVariables.lbAValues[39] = -2.5000000000000000e+00; +acadoVariables.lbAValues[40] = -2.5000000000000000e+00; +acadoVariables.lbAValues[41] = -2.5000000000000000e+00; +acadoVariables.lbAValues[42] = -2.5000000000000000e+00; +acadoVariables.lbAValues[43] = -2.5000000000000000e+00; +acadoVariables.lbAValues[44] = -2.5000000000000000e+00; +acadoVariables.lbAValues[45] = -2.5000000000000000e+00; +acadoVariables.lbAValues[46] = -2.5000000000000000e+00; +acadoVariables.lbAValues[47] = -2.5000000000000000e+00; +acadoVariables.lbAValues[48] = -2.5000000000000000e+00; +acadoVariables.lbAValues[49] = -2.5000000000000000e+00; +acadoVariables.lbAValues[50] = -2.5000000000000000e+00; +acadoVariables.lbAValues[51] = -2.5000000000000000e+00; +acadoVariables.lbAValues[52] = -2.5000000000000000e+00; +acadoVariables.lbAValues[53] = -2.5000000000000000e+00; +acadoVariables.lbAValues[54] = -2.5000000000000000e+00; +acadoVariables.lbAValues[55] = -2.5000000000000000e+00; +acadoVariables.lbAValues[56] = -2.5000000000000000e+00; +acadoVariables.lbAValues[57] = -2.5000000000000000e+00; +acadoVariables.lbAValues[58] = -2.5000000000000000e+00; +acadoVariables.lbAValues[59] = -2.5000000000000000e+00; +acadoVariables.ubAValues[0] = 2.5000000000000000e+00; +acadoVariables.ubAValues[1] = 2.5000000000000000e+00; +acadoVariables.ubAValues[2] = 2.5000000000000000e+00; +acadoVariables.ubAValues[3] = 2.5000000000000000e+00; +acadoVariables.ubAValues[4] = 2.5000000000000000e+00; +acadoVariables.ubAValues[5] = 2.5000000000000000e+00; +acadoVariables.ubAValues[6] = 2.5000000000000000e+00; +acadoVariables.ubAValues[7] = 2.5000000000000000e+00; +acadoVariables.ubAValues[8] = 2.5000000000000000e+00; +acadoVariables.ubAValues[9] = 2.5000000000000000e+00; +acadoVariables.ubAValues[10] = 2.5000000000000000e+00; +acadoVariables.ubAValues[11] = 2.5000000000000000e+00; +acadoVariables.ubAValues[12] = 2.5000000000000000e+00; +acadoVariables.ubAValues[13] = 2.5000000000000000e+00; +acadoVariables.ubAValues[14] = 2.5000000000000000e+00; +acadoVariables.ubAValues[15] = 2.5000000000000000e+00; +acadoVariables.ubAValues[16] = 2.5000000000000000e+00; +acadoVariables.ubAValues[17] = 2.5000000000000000e+00; +acadoVariables.ubAValues[18] = 2.5000000000000000e+00; +acadoVariables.ubAValues[19] = 2.5000000000000000e+00; +acadoVariables.ubAValues[20] = 2.5000000000000000e+00; +acadoVariables.ubAValues[21] = 2.5000000000000000e+00; +acadoVariables.ubAValues[22] = 2.5000000000000000e+00; +acadoVariables.ubAValues[23] = 2.5000000000000000e+00; +acadoVariables.ubAValues[24] = 2.5000000000000000e+00; +acadoVariables.ubAValues[25] = 2.5000000000000000e+00; +acadoVariables.ubAValues[26] = 2.5000000000000000e+00; +acadoVariables.ubAValues[27] = 2.5000000000000000e+00; +acadoVariables.ubAValues[28] = 2.5000000000000000e+00; +acadoVariables.ubAValues[29] = 2.5000000000000000e+00; +acadoVariables.ubAValues[30] = 2.5000000000000000e+00; +acadoVariables.ubAValues[31] = 2.5000000000000000e+00; +acadoVariables.ubAValues[32] = 2.5000000000000000e+00; +acadoVariables.ubAValues[33] = 2.5000000000000000e+00; +acadoVariables.ubAValues[34] = 2.5000000000000000e+00; +acadoVariables.ubAValues[35] = 2.5000000000000000e+00; +acadoVariables.ubAValues[36] = 2.5000000000000000e+00; +acadoVariables.ubAValues[37] = 2.5000000000000000e+00; +acadoVariables.ubAValues[38] = 2.5000000000000000e+00; +acadoVariables.ubAValues[39] = 2.5000000000000000e+00; +acadoVariables.ubAValues[40] = 2.5000000000000000e+00; +acadoVariables.ubAValues[41] = 2.5000000000000000e+00; +acadoVariables.ubAValues[42] = 2.5000000000000000e+00; +acadoVariables.ubAValues[43] = 2.5000000000000000e+00; +acadoVariables.ubAValues[44] = 2.5000000000000000e+00; +acadoVariables.ubAValues[45] = 2.5000000000000000e+00; +acadoVariables.ubAValues[46] = 2.5000000000000000e+00; +acadoVariables.ubAValues[47] = 2.5000000000000000e+00; +acadoVariables.ubAValues[48] = 2.5000000000000000e+00; +acadoVariables.ubAValues[49] = 2.5000000000000000e+00; +acadoVariables.ubAValues[50] = 2.5000000000000000e+00; +acadoVariables.ubAValues[51] = 2.5000000000000000e+00; +acadoVariables.ubAValues[52] = 2.5000000000000000e+00; +acadoVariables.ubAValues[53] = 2.5000000000000000e+00; +acadoVariables.ubAValues[54] = 2.5000000000000000e+00; +acadoVariables.ubAValues[55] = 2.5000000000000000e+00; +acadoVariables.ubAValues[56] = 2.5000000000000000e+00; +acadoVariables.ubAValues[57] = 2.5000000000000000e+00; +acadoVariables.ubAValues[58] = 2.5000000000000000e+00; +acadoVariables.ubAValues[59] = 2.5000000000000000e+00; return ret; } @@ -2307,21 +3113,23 @@ state[8] = acadoVariables.x[index * 12 + 8]; state[9] = acadoVariables.x[index * 12 + 9]; state[10] = acadoVariables.x[index * 12 + 10]; state[11] = acadoVariables.x[index * 12 + 11]; -state[204] = acadoVariables.u[index * 4]; -state[205] = acadoVariables.u[index * 4 + 1]; -state[206] = acadoVariables.u[index * 4 + 2]; -state[207] = acadoVariables.u[index * 4 + 3]; -state[208] = acadoVariables.od[index * 11]; -state[209] = acadoVariables.od[index * 11 + 1]; -state[210] = acadoVariables.od[index * 11 + 2]; -state[211] = acadoVariables.od[index * 11 + 3]; -state[212] = acadoVariables.od[index * 11 + 4]; -state[213] = acadoVariables.od[index * 11 + 5]; -state[214] = acadoVariables.od[index * 11 + 6]; -state[215] = acadoVariables.od[index * 11 + 7]; -state[216] = acadoVariables.od[index * 11 + 8]; -state[217] = acadoVariables.od[index * 11 + 9]; -state[218] = acadoVariables.od[index * 11 + 10]; +state[228] = acadoVariables.u[index * 6]; +state[229] = acadoVariables.u[index * 6 + 1]; +state[230] = acadoVariables.u[index * 6 + 2]; +state[231] = acadoVariables.u[index * 6 + 3]; +state[232] = acadoVariables.u[index * 6 + 4]; +state[233] = acadoVariables.u[index * 6 + 5]; +state[234] = acadoVariables.od[index * 11]; +state[235] = acadoVariables.od[index * 11 + 1]; +state[236] = acadoVariables.od[index * 11 + 2]; +state[237] = acadoVariables.od[index * 11 + 3]; +state[238] = acadoVariables.od[index * 11 + 4]; +state[239] = acadoVariables.od[index * 11 + 5]; +state[240] = acadoVariables.od[index * 11 + 6]; +state[241] = acadoVariables.od[index * 11 + 7]; +state[242] = acadoVariables.od[index * 11 + 8]; +state[243] = acadoVariables.od[index * 11 + 9]; +state[244] = acadoVariables.od[index * 11 + 10]; acado_integrate(state, index == 0); @@ -2390,29 +3198,33 @@ state[10] = acadoVariables.x[250]; state[11] = acadoVariables.x[251]; if (uEnd != 0) { -state[204] = uEnd[0]; -state[205] = uEnd[1]; -state[206] = uEnd[2]; -state[207] = uEnd[3]; +state[228] = uEnd[0]; +state[229] = uEnd[1]; +state[230] = uEnd[2]; +state[231] = uEnd[3]; +state[232] = uEnd[4]; +state[233] = uEnd[5]; } else { -state[204] = acadoVariables.u[76]; -state[205] = acadoVariables.u[77]; -state[206] = acadoVariables.u[78]; -state[207] = acadoVariables.u[79]; +state[228] = acadoVariables.u[114]; +state[229] = acadoVariables.u[115]; +state[230] = acadoVariables.u[116]; +state[231] = acadoVariables.u[117]; +state[232] = acadoVariables.u[118]; +state[233] = acadoVariables.u[119]; } -state[208] = acadoVariables.od[220]; -state[209] = acadoVariables.od[221]; -state[210] = acadoVariables.od[222]; -state[211] = acadoVariables.od[223]; -state[212] = acadoVariables.od[224]; -state[213] = acadoVariables.od[225]; -state[214] = acadoVariables.od[226]; -state[215] = acadoVariables.od[227]; -state[216] = acadoVariables.od[228]; -state[217] = acadoVariables.od[229]; -state[218] = acadoVariables.od[230]; +state[234] = acadoVariables.od[220]; +state[235] = acadoVariables.od[221]; +state[236] = acadoVariables.od[222]; +state[237] = acadoVariables.od[223]; +state[238] = acadoVariables.od[224]; +state[239] = acadoVariables.od[225]; +state[240] = acadoVariables.od[226]; +state[241] = acadoVariables.od[227]; +state[242] = acadoVariables.od[228]; +state[243] = acadoVariables.od[229]; +state[244] = acadoVariables.od[230]; acado_integrate(state, 1); @@ -2436,18 +3248,22 @@ void acado_shiftControls( real_t* const uEnd ) int index; for (index = 0; index < 19; ++index) { -acadoVariables.u[index * 4] = acadoVariables.u[index * 4 + 4]; -acadoVariables.u[index * 4 + 1] = acadoVariables.u[index * 4 + 5]; -acadoVariables.u[index * 4 + 2] = acadoVariables.u[index * 4 + 6]; -acadoVariables.u[index * 4 + 3] = acadoVariables.u[index * 4 + 7]; +acadoVariables.u[index * 6] = acadoVariables.u[index * 6 + 6]; +acadoVariables.u[index * 6 + 1] = acadoVariables.u[index * 6 + 7]; +acadoVariables.u[index * 6 + 2] = acadoVariables.u[index * 6 + 8]; +acadoVariables.u[index * 6 + 3] = acadoVariables.u[index * 6 + 9]; +acadoVariables.u[index * 6 + 4] = acadoVariables.u[index * 6 + 10]; +acadoVariables.u[index * 6 + 5] = acadoVariables.u[index * 6 + 11]; } if (uEnd != 0) { -acadoVariables.u[76] = uEnd[0]; -acadoVariables.u[77] = uEnd[1]; -acadoVariables.u[78] = uEnd[2]; -acadoVariables.u[79] = uEnd[3]; +acadoVariables.u[114] = uEnd[0]; +acadoVariables.u[115] = uEnd[1]; +acadoVariables.u[116] = uEnd[2]; +acadoVariables.u[117] = uEnd[3]; +acadoVariables.u[118] = uEnd[4]; +acadoVariables.u[119] = uEnd[5]; } } @@ -2458,9 +3274,9 @@ real_t kkt; int index; real_t prd; -kkt = + acadoWorkspace.g[0]*acadoWorkspace.x[0] + acadoWorkspace.g[1]*acadoWorkspace.x[1] + acadoWorkspace.g[2]*acadoWorkspace.x[2] + acadoWorkspace.g[3]*acadoWorkspace.x[3] + acadoWorkspace.g[4]*acadoWorkspace.x[4] + acadoWorkspace.g[5]*acadoWorkspace.x[5] + acadoWorkspace.g[6]*acadoWorkspace.x[6] + acadoWorkspace.g[7]*acadoWorkspace.x[7] + acadoWorkspace.g[8]*acadoWorkspace.x[8] + acadoWorkspace.g[9]*acadoWorkspace.x[9] + acadoWorkspace.g[10]*acadoWorkspace.x[10] + acadoWorkspace.g[11]*acadoWorkspace.x[11] + acadoWorkspace.g[12]*acadoWorkspace.x[12] + acadoWorkspace.g[13]*acadoWorkspace.x[13] + acadoWorkspace.g[14]*acadoWorkspace.x[14] + acadoWorkspace.g[15]*acadoWorkspace.x[15] + acadoWorkspace.g[16]*acadoWorkspace.x[16] + acadoWorkspace.g[17]*acadoWorkspace.x[17] + acadoWorkspace.g[18]*acadoWorkspace.x[18] + acadoWorkspace.g[19]*acadoWorkspace.x[19] + acadoWorkspace.g[20]*acadoWorkspace.x[20] + acadoWorkspace.g[21]*acadoWorkspace.x[21] + acadoWorkspace.g[22]*acadoWorkspace.x[22] + acadoWorkspace.g[23]*acadoWorkspace.x[23] + acadoWorkspace.g[24]*acadoWorkspace.x[24] + acadoWorkspace.g[25]*acadoWorkspace.x[25] + acadoWorkspace.g[26]*acadoWorkspace.x[26] + acadoWorkspace.g[27]*acadoWorkspace.x[27] + acadoWorkspace.g[28]*acadoWorkspace.x[28] + acadoWorkspace.g[29]*acadoWorkspace.x[29] + acadoWorkspace.g[30]*acadoWorkspace.x[30] + acadoWorkspace.g[31]*acadoWorkspace.x[31] + acadoWorkspace.g[32]*acadoWorkspace.x[32] + acadoWorkspace.g[33]*acadoWorkspace.x[33] + acadoWorkspace.g[34]*acadoWorkspace.x[34] + acadoWorkspace.g[35]*acadoWorkspace.x[35] + acadoWorkspace.g[36]*acadoWorkspace.x[36] + acadoWorkspace.g[37]*acadoWorkspace.x[37] + acadoWorkspace.g[38]*acadoWorkspace.x[38] + acadoWorkspace.g[39]*acadoWorkspace.x[39] + acadoWorkspace.g[40]*acadoWorkspace.x[40] + acadoWorkspace.g[41]*acadoWorkspace.x[41] + acadoWorkspace.g[42]*acadoWorkspace.x[42] + acadoWorkspace.g[43]*acadoWorkspace.x[43] + acadoWorkspace.g[44]*acadoWorkspace.x[44] + acadoWorkspace.g[45]*acadoWorkspace.x[45] + acadoWorkspace.g[46]*acadoWorkspace.x[46] + acadoWorkspace.g[47]*acadoWorkspace.x[47] + acadoWorkspace.g[48]*acadoWorkspace.x[48] + acadoWorkspace.g[49]*acadoWorkspace.x[49] + acadoWorkspace.g[50]*acadoWorkspace.x[50] + acadoWorkspace.g[51]*acadoWorkspace.x[51] + acadoWorkspace.g[52]*acadoWorkspace.x[52] + acadoWorkspace.g[53]*acadoWorkspace.x[53] + acadoWorkspace.g[54]*acadoWorkspace.x[54] + acadoWorkspace.g[55]*acadoWorkspace.x[55] + acadoWorkspace.g[56]*acadoWorkspace.x[56] + acadoWorkspace.g[57]*acadoWorkspace.x[57] + acadoWorkspace.g[58]*acadoWorkspace.x[58] + acadoWorkspace.g[59]*acadoWorkspace.x[59] + acadoWorkspace.g[60]*acadoWorkspace.x[60] + acadoWorkspace.g[61]*acadoWorkspace.x[61] + acadoWorkspace.g[62]*acadoWorkspace.x[62] + acadoWorkspace.g[63]*acadoWorkspace.x[63] + acadoWorkspace.g[64]*acadoWorkspace.x[64] + acadoWorkspace.g[65]*acadoWorkspace.x[65] + acadoWorkspace.g[66]*acadoWorkspace.x[66] + acadoWorkspace.g[67]*acadoWorkspace.x[67] + acadoWorkspace.g[68]*acadoWorkspace.x[68] + acadoWorkspace.g[69]*acadoWorkspace.x[69] + acadoWorkspace.g[70]*acadoWorkspace.x[70] + acadoWorkspace.g[71]*acadoWorkspace.x[71] + acadoWorkspace.g[72]*acadoWorkspace.x[72] + acadoWorkspace.g[73]*acadoWorkspace.x[73] + acadoWorkspace.g[74]*acadoWorkspace.x[74] + acadoWorkspace.g[75]*acadoWorkspace.x[75] + acadoWorkspace.g[76]*acadoWorkspace.x[76] + acadoWorkspace.g[77]*acadoWorkspace.x[77] + acadoWorkspace.g[78]*acadoWorkspace.x[78] + acadoWorkspace.g[79]*acadoWorkspace.x[79]; +kkt = + acadoWorkspace.g[0]*acadoWorkspace.x[0] + acadoWorkspace.g[1]*acadoWorkspace.x[1] + acadoWorkspace.g[2]*acadoWorkspace.x[2] + acadoWorkspace.g[3]*acadoWorkspace.x[3] + acadoWorkspace.g[4]*acadoWorkspace.x[4] + acadoWorkspace.g[5]*acadoWorkspace.x[5] + acadoWorkspace.g[6]*acadoWorkspace.x[6] + acadoWorkspace.g[7]*acadoWorkspace.x[7] + acadoWorkspace.g[8]*acadoWorkspace.x[8] + acadoWorkspace.g[9]*acadoWorkspace.x[9] + acadoWorkspace.g[10]*acadoWorkspace.x[10] + acadoWorkspace.g[11]*acadoWorkspace.x[11] + acadoWorkspace.g[12]*acadoWorkspace.x[12] + acadoWorkspace.g[13]*acadoWorkspace.x[13] + acadoWorkspace.g[14]*acadoWorkspace.x[14] + acadoWorkspace.g[15]*acadoWorkspace.x[15] + acadoWorkspace.g[16]*acadoWorkspace.x[16] + acadoWorkspace.g[17]*acadoWorkspace.x[17] + acadoWorkspace.g[18]*acadoWorkspace.x[18] + acadoWorkspace.g[19]*acadoWorkspace.x[19] + acadoWorkspace.g[20]*acadoWorkspace.x[20] + acadoWorkspace.g[21]*acadoWorkspace.x[21] + acadoWorkspace.g[22]*acadoWorkspace.x[22] + acadoWorkspace.g[23]*acadoWorkspace.x[23] + acadoWorkspace.g[24]*acadoWorkspace.x[24] + acadoWorkspace.g[25]*acadoWorkspace.x[25] + acadoWorkspace.g[26]*acadoWorkspace.x[26] + acadoWorkspace.g[27]*acadoWorkspace.x[27] + acadoWorkspace.g[28]*acadoWorkspace.x[28] + acadoWorkspace.g[29]*acadoWorkspace.x[29] + acadoWorkspace.g[30]*acadoWorkspace.x[30] + acadoWorkspace.g[31]*acadoWorkspace.x[31] + acadoWorkspace.g[32]*acadoWorkspace.x[32] + acadoWorkspace.g[33]*acadoWorkspace.x[33] + acadoWorkspace.g[34]*acadoWorkspace.x[34] + acadoWorkspace.g[35]*acadoWorkspace.x[35] + acadoWorkspace.g[36]*acadoWorkspace.x[36] + acadoWorkspace.g[37]*acadoWorkspace.x[37] + acadoWorkspace.g[38]*acadoWorkspace.x[38] + acadoWorkspace.g[39]*acadoWorkspace.x[39] + acadoWorkspace.g[40]*acadoWorkspace.x[40] + acadoWorkspace.g[41]*acadoWorkspace.x[41] + acadoWorkspace.g[42]*acadoWorkspace.x[42] + acadoWorkspace.g[43]*acadoWorkspace.x[43] + acadoWorkspace.g[44]*acadoWorkspace.x[44] + acadoWorkspace.g[45]*acadoWorkspace.x[45] + acadoWorkspace.g[46]*acadoWorkspace.x[46] + acadoWorkspace.g[47]*acadoWorkspace.x[47] + acadoWorkspace.g[48]*acadoWorkspace.x[48] + acadoWorkspace.g[49]*acadoWorkspace.x[49] + acadoWorkspace.g[50]*acadoWorkspace.x[50] + acadoWorkspace.g[51]*acadoWorkspace.x[51] + acadoWorkspace.g[52]*acadoWorkspace.x[52] + acadoWorkspace.g[53]*acadoWorkspace.x[53] + acadoWorkspace.g[54]*acadoWorkspace.x[54] + acadoWorkspace.g[55]*acadoWorkspace.x[55] + acadoWorkspace.g[56]*acadoWorkspace.x[56] + acadoWorkspace.g[57]*acadoWorkspace.x[57] + acadoWorkspace.g[58]*acadoWorkspace.x[58] + acadoWorkspace.g[59]*acadoWorkspace.x[59] + acadoWorkspace.g[60]*acadoWorkspace.x[60] + acadoWorkspace.g[61]*acadoWorkspace.x[61] + acadoWorkspace.g[62]*acadoWorkspace.x[62] + acadoWorkspace.g[63]*acadoWorkspace.x[63] + acadoWorkspace.g[64]*acadoWorkspace.x[64] + acadoWorkspace.g[65]*acadoWorkspace.x[65] + acadoWorkspace.g[66]*acadoWorkspace.x[66] + acadoWorkspace.g[67]*acadoWorkspace.x[67] + acadoWorkspace.g[68]*acadoWorkspace.x[68] + acadoWorkspace.g[69]*acadoWorkspace.x[69] + acadoWorkspace.g[70]*acadoWorkspace.x[70] + acadoWorkspace.g[71]*acadoWorkspace.x[71] + acadoWorkspace.g[72]*acadoWorkspace.x[72] + acadoWorkspace.g[73]*acadoWorkspace.x[73] + acadoWorkspace.g[74]*acadoWorkspace.x[74] + acadoWorkspace.g[75]*acadoWorkspace.x[75] + acadoWorkspace.g[76]*acadoWorkspace.x[76] + acadoWorkspace.g[77]*acadoWorkspace.x[77] + acadoWorkspace.g[78]*acadoWorkspace.x[78] + acadoWorkspace.g[79]*acadoWorkspace.x[79] + acadoWorkspace.g[80]*acadoWorkspace.x[80] + acadoWorkspace.g[81]*acadoWorkspace.x[81] + acadoWorkspace.g[82]*acadoWorkspace.x[82] + acadoWorkspace.g[83]*acadoWorkspace.x[83] + acadoWorkspace.g[84]*acadoWorkspace.x[84] + acadoWorkspace.g[85]*acadoWorkspace.x[85] + acadoWorkspace.g[86]*acadoWorkspace.x[86] + acadoWorkspace.g[87]*acadoWorkspace.x[87] + acadoWorkspace.g[88]*acadoWorkspace.x[88] + acadoWorkspace.g[89]*acadoWorkspace.x[89] + acadoWorkspace.g[90]*acadoWorkspace.x[90] + acadoWorkspace.g[91]*acadoWorkspace.x[91] + acadoWorkspace.g[92]*acadoWorkspace.x[92] + acadoWorkspace.g[93]*acadoWorkspace.x[93] + acadoWorkspace.g[94]*acadoWorkspace.x[94] + acadoWorkspace.g[95]*acadoWorkspace.x[95] + acadoWorkspace.g[96]*acadoWorkspace.x[96] + acadoWorkspace.g[97]*acadoWorkspace.x[97] + acadoWorkspace.g[98]*acadoWorkspace.x[98] + acadoWorkspace.g[99]*acadoWorkspace.x[99] + acadoWorkspace.g[100]*acadoWorkspace.x[100] + acadoWorkspace.g[101]*acadoWorkspace.x[101] + acadoWorkspace.g[102]*acadoWorkspace.x[102] + acadoWorkspace.g[103]*acadoWorkspace.x[103] + acadoWorkspace.g[104]*acadoWorkspace.x[104] + acadoWorkspace.g[105]*acadoWorkspace.x[105] + acadoWorkspace.g[106]*acadoWorkspace.x[106] + acadoWorkspace.g[107]*acadoWorkspace.x[107] + acadoWorkspace.g[108]*acadoWorkspace.x[108] + acadoWorkspace.g[109]*acadoWorkspace.x[109] + acadoWorkspace.g[110]*acadoWorkspace.x[110] + acadoWorkspace.g[111]*acadoWorkspace.x[111] + acadoWorkspace.g[112]*acadoWorkspace.x[112] + acadoWorkspace.g[113]*acadoWorkspace.x[113] + acadoWorkspace.g[114]*acadoWorkspace.x[114] + acadoWorkspace.g[115]*acadoWorkspace.x[115] + acadoWorkspace.g[116]*acadoWorkspace.x[116] + acadoWorkspace.g[117]*acadoWorkspace.x[117] + acadoWorkspace.g[118]*acadoWorkspace.x[118] + acadoWorkspace.g[119]*acadoWorkspace.x[119]; kkt = fabs( kkt ); -for (index = 0; index < 80; ++index) +for (index = 0; index < 120; ++index) { prd = acadoWorkspace.y[index]; if (prd > 1e-12) @@ -2468,6 +3284,14 @@ kkt += fabs(acadoWorkspace.lb[index] * prd); else if (prd < -1e-12) kkt += fabs(acadoWorkspace.ub[index] * prd); } +for (index = 0; index < 60; ++index) +{ +prd = acadoWorkspace.y[index + 120]; +if (prd > 1e-12) +kkt += fabs(acadoWorkspace.lbA[index] * prd); +else if (prd < -1e-12) +kkt += fabs(acadoWorkspace.ubA[index] * prd); +} return kkt; } @@ -2476,8 +3300,8 @@ real_t acado_getObjective( ) real_t objVal; int lRun1; -/** Row vector of size: 16 */ -real_t tmpDy[ 16 ]; +/** Row vector of size: 18 */ +real_t tmpDy[ 18 ]; /** Row vector of size: 6 */ real_t tmpDyN[ 6 ]; @@ -2496,39 +3320,43 @@ acadoWorkspace.objValueIn[8] = acadoVariables.x[lRun1 * 12 + 8]; acadoWorkspace.objValueIn[9] = acadoVariables.x[lRun1 * 12 + 9]; acadoWorkspace.objValueIn[10] = acadoVariables.x[lRun1 * 12 + 10]; acadoWorkspace.objValueIn[11] = acadoVariables.x[lRun1 * 12 + 11]; -acadoWorkspace.objValueIn[12] = acadoVariables.u[lRun1 * 4]; -acadoWorkspace.objValueIn[13] = acadoVariables.u[lRun1 * 4 + 1]; -acadoWorkspace.objValueIn[14] = acadoVariables.u[lRun1 * 4 + 2]; -acadoWorkspace.objValueIn[15] = acadoVariables.u[lRun1 * 4 + 3]; -acadoWorkspace.objValueIn[16] = acadoVariables.od[lRun1 * 11]; -acadoWorkspace.objValueIn[17] = acadoVariables.od[lRun1 * 11 + 1]; -acadoWorkspace.objValueIn[18] = acadoVariables.od[lRun1 * 11 + 2]; -acadoWorkspace.objValueIn[19] = acadoVariables.od[lRun1 * 11 + 3]; -acadoWorkspace.objValueIn[20] = acadoVariables.od[lRun1 * 11 + 4]; -acadoWorkspace.objValueIn[21] = acadoVariables.od[lRun1 * 11 + 5]; -acadoWorkspace.objValueIn[22] = acadoVariables.od[lRun1 * 11 + 6]; -acadoWorkspace.objValueIn[23] = acadoVariables.od[lRun1 * 11 + 7]; -acadoWorkspace.objValueIn[24] = acadoVariables.od[lRun1 * 11 + 8]; -acadoWorkspace.objValueIn[25] = acadoVariables.od[lRun1 * 11 + 9]; -acadoWorkspace.objValueIn[26] = acadoVariables.od[lRun1 * 11 + 10]; +acadoWorkspace.objValueIn[12] = acadoVariables.u[lRun1 * 6]; +acadoWorkspace.objValueIn[13] = acadoVariables.u[lRun1 * 6 + 1]; +acadoWorkspace.objValueIn[14] = acadoVariables.u[lRun1 * 6 + 2]; +acadoWorkspace.objValueIn[15] = acadoVariables.u[lRun1 * 6 + 3]; +acadoWorkspace.objValueIn[16] = acadoVariables.u[lRun1 * 6 + 4]; +acadoWorkspace.objValueIn[17] = acadoVariables.u[lRun1 * 6 + 5]; +acadoWorkspace.objValueIn[18] = acadoVariables.od[lRun1 * 11]; +acadoWorkspace.objValueIn[19] = acadoVariables.od[lRun1 * 11 + 1]; +acadoWorkspace.objValueIn[20] = acadoVariables.od[lRun1 * 11 + 2]; +acadoWorkspace.objValueIn[21] = acadoVariables.od[lRun1 * 11 + 3]; +acadoWorkspace.objValueIn[22] = acadoVariables.od[lRun1 * 11 + 4]; +acadoWorkspace.objValueIn[23] = acadoVariables.od[lRun1 * 11 + 5]; +acadoWorkspace.objValueIn[24] = acadoVariables.od[lRun1 * 11 + 6]; +acadoWorkspace.objValueIn[25] = acadoVariables.od[lRun1 * 11 + 7]; +acadoWorkspace.objValueIn[26] = acadoVariables.od[lRun1 * 11 + 8]; +acadoWorkspace.objValueIn[27] = acadoVariables.od[lRun1 * 11 + 9]; +acadoWorkspace.objValueIn[28] = acadoVariables.od[lRun1 * 11 + 10]; acado_evaluateLSQ( acadoWorkspace.objValueIn, acadoWorkspace.objValueOut ); -acadoWorkspace.Dy[lRun1 * 16] = acadoWorkspace.objValueOut[0] - acadoVariables.y[lRun1 * 16]; -acadoWorkspace.Dy[lRun1 * 16 + 1] = acadoWorkspace.objValueOut[1] - acadoVariables.y[lRun1 * 16 + 1]; -acadoWorkspace.Dy[lRun1 * 16 + 2] = acadoWorkspace.objValueOut[2] - acadoVariables.y[lRun1 * 16 + 2]; -acadoWorkspace.Dy[lRun1 * 16 + 3] = acadoWorkspace.objValueOut[3] - acadoVariables.y[lRun1 * 16 + 3]; -acadoWorkspace.Dy[lRun1 * 16 + 4] = acadoWorkspace.objValueOut[4] - acadoVariables.y[lRun1 * 16 + 4]; -acadoWorkspace.Dy[lRun1 * 16 + 5] = acadoWorkspace.objValueOut[5] - acadoVariables.y[lRun1 * 16 + 5]; -acadoWorkspace.Dy[lRun1 * 16 + 6] = acadoWorkspace.objValueOut[6] - acadoVariables.y[lRun1 * 16 + 6]; -acadoWorkspace.Dy[lRun1 * 16 + 7] = acadoWorkspace.objValueOut[7] - acadoVariables.y[lRun1 * 16 + 7]; -acadoWorkspace.Dy[lRun1 * 16 + 8] = acadoWorkspace.objValueOut[8] - acadoVariables.y[lRun1 * 16 + 8]; -acadoWorkspace.Dy[lRun1 * 16 + 9] = acadoWorkspace.objValueOut[9] - acadoVariables.y[lRun1 * 16 + 9]; -acadoWorkspace.Dy[lRun1 * 16 + 10] = acadoWorkspace.objValueOut[10] - acadoVariables.y[lRun1 * 16 + 10]; -acadoWorkspace.Dy[lRun1 * 16 + 11] = acadoWorkspace.objValueOut[11] - acadoVariables.y[lRun1 * 16 + 11]; -acadoWorkspace.Dy[lRun1 * 16 + 12] = acadoWorkspace.objValueOut[12] - acadoVariables.y[lRun1 * 16 + 12]; -acadoWorkspace.Dy[lRun1 * 16 + 13] = acadoWorkspace.objValueOut[13] - acadoVariables.y[lRun1 * 16 + 13]; -acadoWorkspace.Dy[lRun1 * 16 + 14] = acadoWorkspace.objValueOut[14] - acadoVariables.y[lRun1 * 16 + 14]; -acadoWorkspace.Dy[lRun1 * 16 + 15] = acadoWorkspace.objValueOut[15] - acadoVariables.y[lRun1 * 16 + 15]; +acadoWorkspace.Dy[lRun1 * 18] = acadoWorkspace.objValueOut[0] - acadoVariables.y[lRun1 * 18]; +acadoWorkspace.Dy[lRun1 * 18 + 1] = acadoWorkspace.objValueOut[1] - acadoVariables.y[lRun1 * 18 + 1]; +acadoWorkspace.Dy[lRun1 * 18 + 2] = acadoWorkspace.objValueOut[2] - acadoVariables.y[lRun1 * 18 + 2]; +acadoWorkspace.Dy[lRun1 * 18 + 3] = acadoWorkspace.objValueOut[3] - acadoVariables.y[lRun1 * 18 + 3]; +acadoWorkspace.Dy[lRun1 * 18 + 4] = acadoWorkspace.objValueOut[4] - acadoVariables.y[lRun1 * 18 + 4]; +acadoWorkspace.Dy[lRun1 * 18 + 5] = acadoWorkspace.objValueOut[5] - acadoVariables.y[lRun1 * 18 + 5]; +acadoWorkspace.Dy[lRun1 * 18 + 6] = acadoWorkspace.objValueOut[6] - acadoVariables.y[lRun1 * 18 + 6]; +acadoWorkspace.Dy[lRun1 * 18 + 7] = acadoWorkspace.objValueOut[7] - acadoVariables.y[lRun1 * 18 + 7]; +acadoWorkspace.Dy[lRun1 * 18 + 8] = acadoWorkspace.objValueOut[8] - acadoVariables.y[lRun1 * 18 + 8]; +acadoWorkspace.Dy[lRun1 * 18 + 9] = acadoWorkspace.objValueOut[9] - acadoVariables.y[lRun1 * 18 + 9]; +acadoWorkspace.Dy[lRun1 * 18 + 10] = acadoWorkspace.objValueOut[10] - acadoVariables.y[lRun1 * 18 + 10]; +acadoWorkspace.Dy[lRun1 * 18 + 11] = acadoWorkspace.objValueOut[11] - acadoVariables.y[lRun1 * 18 + 11]; +acadoWorkspace.Dy[lRun1 * 18 + 12] = acadoWorkspace.objValueOut[12] - acadoVariables.y[lRun1 * 18 + 12]; +acadoWorkspace.Dy[lRun1 * 18 + 13] = acadoWorkspace.objValueOut[13] - acadoVariables.y[lRun1 * 18 + 13]; +acadoWorkspace.Dy[lRun1 * 18 + 14] = acadoWorkspace.objValueOut[14] - acadoVariables.y[lRun1 * 18 + 14]; +acadoWorkspace.Dy[lRun1 * 18 + 15] = acadoWorkspace.objValueOut[15] - acadoVariables.y[lRun1 * 18 + 15]; +acadoWorkspace.Dy[lRun1 * 18 + 16] = acadoWorkspace.objValueOut[16] - acadoVariables.y[lRun1 * 18 + 16]; +acadoWorkspace.Dy[lRun1 * 18 + 17] = acadoWorkspace.objValueOut[17] - acadoVariables.y[lRun1 * 18 + 17]; } acadoWorkspace.objValueIn[0] = acadoVariables.x[240]; acadoWorkspace.objValueIn[1] = acadoVariables.x[241]; @@ -2563,23 +3391,25 @@ acadoWorkspace.DyN[5] = acadoWorkspace.objValueOut[5] - acadoVariables.yN[5]; objVal = 0.0000000000000000e+00; for (lRun1 = 0; lRun1 < 20; ++lRun1) { -tmpDy[0] = + acadoWorkspace.Dy[lRun1 * 16]*acadoVariables.W[0]; -tmpDy[1] = + acadoWorkspace.Dy[lRun1 * 16 + 1]*acadoVariables.W[17]; -tmpDy[2] = + acadoWorkspace.Dy[lRun1 * 16 + 2]*acadoVariables.W[34]; -tmpDy[3] = + acadoWorkspace.Dy[lRun1 * 16 + 3]*acadoVariables.W[51]; -tmpDy[4] = + acadoWorkspace.Dy[lRun1 * 16 + 4]*acadoVariables.W[68]; -tmpDy[5] = + acadoWorkspace.Dy[lRun1 * 16 + 5]*acadoVariables.W[85]; -tmpDy[6] = + acadoWorkspace.Dy[lRun1 * 16 + 6]*acadoVariables.W[102]; -tmpDy[7] = + acadoWorkspace.Dy[lRun1 * 16 + 7]*acadoVariables.W[119]; -tmpDy[8] = + acadoWorkspace.Dy[lRun1 * 16 + 8]*acadoVariables.W[136]; -tmpDy[9] = + acadoWorkspace.Dy[lRun1 * 16 + 9]*acadoVariables.W[153]; -tmpDy[10] = + acadoWorkspace.Dy[lRun1 * 16 + 10]*acadoVariables.W[170]; -tmpDy[11] = + acadoWorkspace.Dy[lRun1 * 16 + 11]*acadoVariables.W[187]; -tmpDy[12] = + acadoWorkspace.Dy[lRun1 * 16 + 12]*acadoVariables.W[204]; -tmpDy[13] = + acadoWorkspace.Dy[lRun1 * 16 + 13]*acadoVariables.W[221]; -tmpDy[14] = + acadoWorkspace.Dy[lRun1 * 16 + 14]*acadoVariables.W[238]; -tmpDy[15] = + acadoWorkspace.Dy[lRun1 * 16 + 15]*acadoVariables.W[255]; -objVal += + acadoWorkspace.Dy[lRun1 * 16]*tmpDy[0] + acadoWorkspace.Dy[lRun1 * 16 + 1]*tmpDy[1] + acadoWorkspace.Dy[lRun1 * 16 + 2]*tmpDy[2] + acadoWorkspace.Dy[lRun1 * 16 + 3]*tmpDy[3] + acadoWorkspace.Dy[lRun1 * 16 + 4]*tmpDy[4] + acadoWorkspace.Dy[lRun1 * 16 + 5]*tmpDy[5] + acadoWorkspace.Dy[lRun1 * 16 + 6]*tmpDy[6] + acadoWorkspace.Dy[lRun1 * 16 + 7]*tmpDy[7] + acadoWorkspace.Dy[lRun1 * 16 + 8]*tmpDy[8] + acadoWorkspace.Dy[lRun1 * 16 + 9]*tmpDy[9] + acadoWorkspace.Dy[lRun1 * 16 + 10]*tmpDy[10] + acadoWorkspace.Dy[lRun1 * 16 + 11]*tmpDy[11] + acadoWorkspace.Dy[lRun1 * 16 + 12]*tmpDy[12] + acadoWorkspace.Dy[lRun1 * 16 + 13]*tmpDy[13] + acadoWorkspace.Dy[lRun1 * 16 + 14]*tmpDy[14] + acadoWorkspace.Dy[lRun1 * 16 + 15]*tmpDy[15]; +tmpDy[0] = + acadoWorkspace.Dy[lRun1 * 18]*acadoVariables.W[0]; +tmpDy[1] = + acadoWorkspace.Dy[lRun1 * 18 + 1]*acadoVariables.W[19]; +tmpDy[2] = + acadoWorkspace.Dy[lRun1 * 18 + 2]*acadoVariables.W[38]; +tmpDy[3] = + acadoWorkspace.Dy[lRun1 * 18 + 3]*acadoVariables.W[57]; +tmpDy[4] = + acadoWorkspace.Dy[lRun1 * 18 + 4]*acadoVariables.W[76]; +tmpDy[5] = + acadoWorkspace.Dy[lRun1 * 18 + 5]*acadoVariables.W[95]; +tmpDy[6] = + acadoWorkspace.Dy[lRun1 * 18 + 6]*acadoVariables.W[114]; +tmpDy[7] = + acadoWorkspace.Dy[lRun1 * 18 + 7]*acadoVariables.W[133]; +tmpDy[8] = + acadoWorkspace.Dy[lRun1 * 18 + 8]*acadoVariables.W[152]; +tmpDy[9] = + acadoWorkspace.Dy[lRun1 * 18 + 9]*acadoVariables.W[171]; +tmpDy[10] = + acadoWorkspace.Dy[lRun1 * 18 + 10]*acadoVariables.W[190]; +tmpDy[11] = + acadoWorkspace.Dy[lRun1 * 18 + 11]*acadoVariables.W[209]; +tmpDy[12] = + acadoWorkspace.Dy[lRun1 * 18 + 12]*acadoVariables.W[228]; +tmpDy[13] = + acadoWorkspace.Dy[lRun1 * 18 + 13]*acadoVariables.W[247]; +tmpDy[14] = + acadoWorkspace.Dy[lRun1 * 18 + 14]*acadoVariables.W[266]; +tmpDy[15] = + acadoWorkspace.Dy[lRun1 * 18 + 15]*acadoVariables.W[285]; +tmpDy[16] = + acadoWorkspace.Dy[lRun1 * 18 + 16]*acadoVariables.W[304]; +tmpDy[17] = + acadoWorkspace.Dy[lRun1 * 18 + 17]*acadoVariables.W[323]; +objVal += + acadoWorkspace.Dy[lRun1 * 18]*tmpDy[0] + acadoWorkspace.Dy[lRun1 * 18 + 1]*tmpDy[1] + acadoWorkspace.Dy[lRun1 * 18 + 2]*tmpDy[2] + acadoWorkspace.Dy[lRun1 * 18 + 3]*tmpDy[3] + acadoWorkspace.Dy[lRun1 * 18 + 4]*tmpDy[4] + acadoWorkspace.Dy[lRun1 * 18 + 5]*tmpDy[5] + acadoWorkspace.Dy[lRun1 * 18 + 6]*tmpDy[6] + acadoWorkspace.Dy[lRun1 * 18 + 7]*tmpDy[7] + acadoWorkspace.Dy[lRun1 * 18 + 8]*tmpDy[8] + acadoWorkspace.Dy[lRun1 * 18 + 9]*tmpDy[9] + acadoWorkspace.Dy[lRun1 * 18 + 10]*tmpDy[10] + acadoWorkspace.Dy[lRun1 * 18 + 11]*tmpDy[11] + acadoWorkspace.Dy[lRun1 * 18 + 12]*tmpDy[12] + acadoWorkspace.Dy[lRun1 * 18 + 13]*tmpDy[13] + acadoWorkspace.Dy[lRun1 * 18 + 14]*tmpDy[14] + acadoWorkspace.Dy[lRun1 * 18 + 15]*tmpDy[15] + acadoWorkspace.Dy[lRun1 * 18 + 16]*tmpDy[16] + acadoWorkspace.Dy[lRun1 * 18 + 17]*tmpDy[17]; } tmpDyN[0] = + acadoWorkspace.DyN[0]*acadoVariables.WN[0]; diff --git a/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc.cpp b/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc.cpp index 2416cf5..1d105ff 100644 --- a/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc.cpp +++ b/mav_modified_rodrigues_nmpc/solver/mav_modified_rodrigues_nmpc.cpp @@ -69,6 +69,8 @@ void mexFunction( int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[] ) Control f2; Control f3; Control f4; + Control f5; + Control f6; OnlineData mass; OnlineData inertia1; OnlineData inertia2; @@ -97,10 +99,12 @@ void mexFunction( int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[] ) acadodata_f1 << e_w1; acadodata_f1 << e_w2; acadodata_f1 << e_w3; - acadodata_f1 << (-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass+f1); - acadodata_f1 << (-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass+f2); - acadodata_f1 << (-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass+f3); - acadodata_f1 << (-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass+f4); + acadodata_f1 << (-1/6.00000000000000000000e+00*9.80659999999999953957e+00*mass+f1); + acadodata_f1 << (-1/6.00000000000000000000e+00*9.80659999999999953957e+00*mass+f2); + acadodata_f1 << (-1/6.00000000000000000000e+00*9.80659999999999953957e+00*mass+f3); + acadodata_f1 << (-1/6.00000000000000000000e+00*9.80659999999999953957e+00*mass+f4); + acadodata_f1 << (-1/6.00000000000000000000e+00*9.80659999999999953957e+00*mass+f5); + acadodata_f1 << (-1/6.00000000000000000000e+00*9.80659999999999953957e+00*mass+f6); Function acadodata_f2; acadodata_f2 << e_p1; acadodata_f2 << e_p2; @@ -111,28 +115,33 @@ void mexFunction( int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[] ) OCP ocp1(0, 2, 20); ocp1.minimizeLSQ(acadodata_M1, acadodata_f1); ocp1.minimizeLSQEndTerm(acadodata_M2, acadodata_f2); - ocp1.subjectTo((-6.00000000000000000000e+00) <= f1 <= 6.00000000000000000000e+00); - ocp1.subjectTo((-6.00000000000000000000e+00) <= f2 <= 6.00000000000000000000e+00); - ocp1.subjectTo((-6.00000000000000000000e+00) <= f3 <= 6.00000000000000000000e+00); - ocp1.subjectTo((-6.00000000000000000000e+00) <= f4 <= 6.00000000000000000000e+00); + ocp1.subjectTo((-8.00000000000000000000e+00) <= f1 <= 8.00000000000000000000e+00); + ocp1.subjectTo((-8.00000000000000000000e+00) <= f2 <= 8.00000000000000000000e+00); + ocp1.subjectTo((-8.00000000000000000000e+00) <= f3 <= 8.00000000000000000000e+00); + ocp1.subjectTo((-8.00000000000000000000e+00) <= f4 <= 8.00000000000000000000e+00); + ocp1.subjectTo((-8.00000000000000000000e+00) <= f5 <= 8.00000000000000000000e+00); + ocp1.subjectTo((-8.00000000000000000000e+00) <= f6 <= 8.00000000000000000000e+00); + ocp1.subjectTo((-2.50000000000000000000e+00) <= e_mrp1 <= 2.50000000000000000000e+00); + ocp1.subjectTo((-2.50000000000000000000e+00) <= e_mrp2 <= 2.50000000000000000000e+00); + ocp1.subjectTo((-2.50000000000000000000e+00) <= e_mrp3 <= 2.50000000000000000000e+00); DifferentialEquation acadodata_f3; acadodata_f3 << dot(e_p1) == e_v1; acadodata_f3 << dot(e_p2) == e_v2; acadodata_f3 << dot(e_p3) == e_v3; - acadodata_f3 << dot(e_v1) == (((((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref)-((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref))*cos(1/2.00000000000000000000e+00*yaw_ref)+(((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref)+((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref))*(-sin(1/2.00000000000000000000e+00*yaw_ref)))/mass+external_forces1); - acadodata_f3 << dot(e_v2) == ((-(((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref)-((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref))*(-sin(1/2.00000000000000000000e+00*yaw_ref))+(((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref)+((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref))*cos(1/2.00000000000000000000e+00*yaw_ref))/mass+external_forces2); - acadodata_f3 << dot(e_v3) == (((-(-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass)*sin(1/2.00000000000000000000e+00*yaw_ref))*(-sin(1/2.00000000000000000000e+00*yaw_ref))+(-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)*2.00000000000000000000e+00*e_mrp2+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(f1+f2+f3+f4)-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass-1/4.00000000000000000000e+00*9.80659999999999953957e+00*mass)*cos(1/2.00000000000000000000e+00*yaw_ref)*cos(1/2.00000000000000000000e+00*yaw_ref))/mass+external_forces3); + acadodata_f3 << dot(e_v1) == (((((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref)-((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref))*cos(1/2.00000000000000000000e+00*yaw_ref)+(((-1/(1.0000000000000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+ acadodata_f3 << dot(e_v2) == ((-(((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref)-((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref))*(-sin(1/2.00000000000000000000e+00*yaw_ref))+(((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp2)*sin(1/2.00000000000000000000e+00*yaw_ref)+((-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp1)/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp2)*cos(1/2.00000000000000000000e+00*yaw_ref))*cos(1/2.00000000000000000000e+00*yaw_ref))/mass+external_forces2); + acadodata_f3 << dot(e_v3) == (((-(-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp2+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)-9.80659999999999953957e+00*mass)*sin(1/2.00000000000000000000e+00*yaw_ref))*(-sin(1/2.00000000000000000000e+00*yaw_ref))+(-(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp1)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp1)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp3)*(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp3)+(-1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*2.00000000000000000000e+00*e_mrp2)*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)*2.00000000000000000000e+00*e_mrp2+1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*1/(1.00000000000000000000e+00+pow(e_mrp1,2.00000000000000000000e+00)+pow(e_mrp2,2.00000000000000000000e+00)+pow(e_mrp3,2.00000000000000000000e+00))*(1.00000000000000000000e+00-pow(e_mrp1,2.00000000000000000000e+00)-pow(e_mrp2,2.00000000000000000000e+00)-pow(e_mrp3,2.00000000000000000000e+00))*(9.96194698091745989288e-01*f1+9.96194698091745989288e-01*f2+9.96194698091745989288e-01*f3+9.96194698091745989288e-01*f4+9.96194698091745989288e-01*f5+9.96194698091745989288e-01*f6)-9.80659999999999953957e+00*mass)*cos(1/2.00000000000000000000e+00*yaw_ref)*cos(1/2.00000000000000000000e+00*yaw_ref))/mass+external_forces3); acadodata_f3 << dot(e_mrp1) == (((-e_mrp3)*2.00000000000000000000e+00+2.00000000000000000000e+00*e_mrp1*e_mrp2)*2.50000000000000000000e-01*e_w2+((1.00000000000000000000e+00-e_mrp1*e_mrp1-e_mrp2*e_mrp2-e_mrp3*e_mrp3)+2.00000000000000000000e+00*e_mrp1*e_mrp1)*2.50000000000000000000e-01*e_w1+(2.00000000000000000000e+00*e_mrp1*e_mrp3+2.00000000000000000000e+00*e_mrp2)*2.50000000000000000000e-01*e_w3); acadodata_f3 << dot(e_mrp2) == (((-e_mrp1)*2.00000000000000000000e+00+2.00000000000000000000e+00*e_mrp2*e_mrp3)*2.50000000000000000000e-01*e_w3+((1.00000000000000000000e+00-e_mrp1*e_mrp1-e_mrp2*e_mrp2-e_mrp3*e_mrp3)+2.00000000000000000000e+00*e_mrp2*e_mrp2)*2.50000000000000000000e-01*e_w2+(2.00000000000000000000e+00*e_mrp1*e_mrp2+2.00000000000000000000e+00*e_mrp3)*2.50000000000000000000e-01*e_w1); acadodata_f3 << dot(e_mrp3) == (((-e_mrp2)*2.00000000000000000000e+00+2.00000000000000000000e+00*e_mrp1*e_mrp3)*2.50000000000000000000e-01*e_w1+((1.00000000000000000000e+00-e_mrp1*e_mrp1-e_mrp2*e_mrp2-e_mrp3*e_mrp3)+2.00000000000000000000e+00*e_mrp3*e_mrp3)*2.50000000000000000000e-01*e_w3+(2.00000000000000000000e+00*e_mrp1+2.00000000000000000000e+00*e_mrp2*e_mrp3)*2.50000000000000000000e-01*e_w2); - acadodata_f3 << dot(e_w1) == ((f2-f4)*armlength-e_w2*e_w3*inertia3+e_w2*inertia2*e_w3)/inertia1; - acadodata_f3 << dot(e_w2) == (((-f1+f3)*armlength+(angVel_ref+e_w1)*e_w3*inertia3-(angVel_ref+e_w1)*inertia1*e_w3)/inertia2+angVel_ref*e_w3); - acadodata_f3 << dot(e_w3) == ((-(angVel_ref+e_w1)*e_w2*inertia2+(angVel_ref+e_w1)*inertia1*e_w2+(f1-f2+f3-f4)*drag_coefficient)/inertia3-angVel_ref*e_w2); + acadodata_f3 << dot(e_w1) == ((-1.43469078891783008434e-01)*f4+(-1.43469078891783008434e-01)*f6+(-2.86938157783566016867e-01)*f5+1.43469078891783008434e-01*f1+1.43469078891783008434e-01*f3+2.86938157783566016867e-01*f2-e_w2*e_w3*inertia3+e_w2*inertia2*e_w3)/inertia1; + acadodata_f3 << dot(e_w2) == (((-2.48495733955676006977e-01)*f1+(-2.48495733955676006977e-01)*f6+(angVel_ref+e_w1)*e_w3*inertia3-(angVel_ref+e_w1)*inertia1*e_w3+2.48495733955676006977e-01*f3+2.48495733955676006977e-01*f4)/inertia2+angVel_ref*e_w3); + acadodata_f3 << dot(e_w3) == (((-4.19218334972761008661e-02)*f1+(-4.19218334972761008661e-02)*f3+(-4.19218334972761008661e-02)*f5-(angVel_ref+e_w1)*e_w2*inertia2+(angVel_ref+e_w1)*inertia1*e_w2+4.19218334972761008661e-02*f2+4.19218334972761008661e-02*f4+4.19218334972761008661e-02*f6)/inertia3-angVel_ref*e_w2); ocp1.setModel( acadodata_f3 ); - ocp1.setNU( 4 ); + ocp1.setNU( 6 ); ocp1.setNP( 0 ); ocp1.setNOD( 11 ); OCPexport ExportModule1( ocp1 ); diff --git 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