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lgfem.cpp
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/// \file
// -*- Mode : c++ -*-
//
// SUMMARY :
// USAGE :
// ORG :
// AUTHOR : Frederic Hecht
// E-MAIL : hecht@ann.jussieu.fr
//
/*
This file is part of Freefem++
Freefem++ 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.
Freefem++ 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 Freefem++; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
#ifdef __MWERKS__
#pragma optimization_level 0
//#pragma inline_depth(0)
#endif
#include <cmath>
#include <iostream>
#include <cfloat>
using namespace std;
#include "error.hpp"
#include "AFunction.hpp"
#include "rgraph.hpp"
#include <cstdio>
#include "fem.hpp"
#include "Mesh3dn.hpp"
#include "MatriceCreuse_tpl.hpp"
#include "MeshPoint.hpp"
#include <complex>
#include "Operator.hpp"
#include <set>
#include <map>
#include <vector>
#include "lex.hpp"
#include "lgfem.hpp"
#include "lgmesh3.hpp"
#include "lgsolver.hpp"
#include "problem.hpp"
#include "CGNL.hpp"
#include "AddNewFE.h"
#include "array_resize.hpp"
#include "PlotStream.hpp"
// add for the gestion of the endianness of the file.
//PlotStream::fBytes PlotStream::zott; //0123;
//PlotStream::hBytes PlotStream::zottffss; //012345678;
// ---- FH
namespace bamg { class Triangles; }
namespace Fem2D { void DrawIsoT(const R2 Pt[3],const R ff[3],const RN_ & Viso);
extern GTypeOfFE<Mesh3> &P1bLagrange3d;
extern GTypeOfFE<Mesh3> &RT03d;
extern GTypeOfFE<Mesh3> &Edge03d;
void Expandsetoflab(Stack stack,const CDomainOfIntegration & di,set<int> & setoflab,bool &all);
}
#include "BamgFreeFem.hpp"
static bool TheWait=false;
bool NoWait=false;
extern bool NoGraphicWindow;
extern long verbosity;
extern FILE *ThePlotStream; // Add for new plot. FH oct 2008
void init_lgmesh() ;
namespace FreeFempp {
template<class R>
TypeVarForm<R> * TypeVarForm<R>::Global;
}
const int nTypeSolveMat=10;
int kTypeSolveMat;
TypeSolveMat *dTypeSolveMat[nTypeSolveMat];
AnyType Long2TypeSolveMat(Stack, const AnyType &ll) {
long l=GetAny<long>(ll);
ffassert( l>=0 && l <kTypeSolveMat);
return dTypeSolveMat[l];
}
AnyType TypeSolveMat2Long(Stack,const AnyType &tt ) {
const TypeSolveMat *t = GetAny<TypeSolveMat *>(tt);
for(long l=0; l <kTypeSolveMat; ++l)
if( t==dTypeSolveMat[l]) return l;
return long (kTypeSolveMat-1); // sparse solver case
}
basicAC_F0::name_and_type OpCall_FormBilinear_np::name_param[]= {
{ "bmat",&typeid(Matrice_Creuse<R>* )},
LIST_NAME_PARM_MAT
/*
{ "init", &typeid(bool)},
{ "solver", &typeid(TypeSolveMat*)},
{ "eps", &typeid(double) } ,
{ "precon",&typeid(Polymorphic*)},
{ "dimKrylov",&typeid(long)},
{ "bmat",&typeid(Matrice_Creuse<R>* )},
{ "tgv",&typeid(double )},
{ "factorize",&typeid(bool)},
{ "strategy",&typeid(long )},
{ "tolpivot", &typeid(double)},
{ "tolpivotsym", &typeid(double) },
{ "nbiter", &typeid(long)}, // 12
{ "paramint",&typeid(KN_<long>)}, // Add J. Morice 02/09
{ "paramdouble",&typeid(KN_<double>)},
{ "paramstring",&typeid(string*)},
{ "permrow",&typeid(KN_<long>)},
{ "permcol",&typeid(KN_<long>)},
{ "fileparamint",&typeid(string*)}, // Add J. Morice 02/09
{ "fileparamdouble",&typeid(string*)},
{ "fileparamstring",&typeid(string* )},
{ "filepermrow",&typeid(string*)},
{ "filepermcol",&typeid(string*)} //22
*/
};
basicAC_F0::name_and_type OpCall_FormLinear_np::name_param[]= {
"tgv",&typeid(double )
};
/*
template<class R,class TA0,class TA1,class TA2>
class E_F_F0F0F0 :public E_F0 { public:
template <class T> struct remove_reference {typedef T type;};
template <class T> struct remove_reference<T&> {typedef T type;};
typedef typename remove_reference<TA0>::type A0;
typedef typename remove_reference<TA1>::type A1;
typedef typename remove_reference<TA2>::type A2;
typedef R (*func)( A0 , A1, A2 ) ;
func f;
Expression a0,a1,a2;
E_F_F0F0F0(func ff,Expression aa0,Expression aa1,Expression aa2)
: f(ff),a0(aa0),a1(aa1),a2(aa2) {}
AnyType operator()(Stack s) const
{return SetAny<R>( f( GetAny<A0>((*a0)(s)) , GetAny<A1>((*a1)(s)), GetAny<A2>((*a2)(s)) ) );}
bool EvaluableWithOutStack() const
{return a0->EvaluableWithOutStack() && a1->EvaluableWithOutStack() && a2->EvaluableWithOutStack() ;} //
bool MeshIndependent() const
{return a0->MeshIndependent() && a1->MeshIndependent() && a2->MeshIndependent();} //
int compare (const E_F0 *t) const {
int rr;
// cout << "cmp " << typeid(*this).name() << " and " << typeid(t).name() << endl;
const E_F_F0F0F0* tt=dynamic_cast<const E_F_F0F0F0 *>(t);
if (tt && f == tt->f) rr= clexico(a0->compare(tt->a0),a1->compare(tt->a1),a2->compare(tt->a2));
else rr = E_F0::compare(t);
return rr;
} // to give a order in instuction
int Optimize(deque<pair<Expression,int> > &l,MapOfE_F0 & m, size_t & n) const
{
int rr = find(m);
if (rr) return rr;
return insert(new Opt(*this,a0->Optimize(l,m,n),a1->Optimize(l,m,n),a2->Optimize(l,m,n)),l,m,n);
}
// build optimisation
class Opt: public E_F_F0F0F0 { public :
size_t ia,ib,ic;
Opt(const E_F_F0F0F0 &t,size_t iaa,size_t ibb,size_t icc)
: E_F_F0F0F0(t) ,
ia(iaa),ib(ibb),ic(icc) {}
AnyType operator()(Stack s) const
{
//A0 aa =*static_cast<A0 *>(static_cast<void*>(static_cast<char *>(s)+ia));
//A1 bb=*static_cast<A1 *>(static_cast<void*>(static_cast<char *>(s)+ib)) ;
//cout << ia << " " << ib << "f( " << aa << "," << bb << " ) = "<< f(aa,bb) << endl;
return SetAny<R>( f( *static_cast<A0 *>(static_cast<void*>(static_cast<char *>(s)+ia)) ,
*static_cast<A1 *>(static_cast<void*>(static_cast<char *>(s)+ib)) ,
*static_cast<A2 *>(static_cast<void*>(static_cast<char *>(s)+ic))
) );}
};
};
template<class R,class A=R,class B=A,class C=A,class CODE=E_F_F0F0F0<R,A,B,C> >
class OneOperator3 : public OneOperator {
aType r; // return type
typedef typename CODE::func func;
//typedef R (*func)(A,B) ;
func f;
public:
E_F0 * code(const basicAC_F0 & args) const
{ return new CODE(f,t[0]->CastTo(args[0]),t[1]->CastTo(args[1]),t[2]->CastTo(args[3]));}
OneOperator3(func ff):
OneOperator(map_type[typeid(R).name()],map_type[typeid(A).name()],map_type[typeid(B).name()],map_type[typeid(C).name()]),
f(ff){}
};
*/
const E_Array * Array(const C_F0 & a) {
if (a.left() == atype<E_Array>() )
return dynamic_cast<const E_Array *>(a.LeftValue());
else
return 0;
}
bool Box2(const C_F0 & bb, Expression * box)
{
const E_Array * a= Array(bb);
if(a && a->size() == 2)
{
box[0] = to<double>((*a)[0]);
box[1] = to<double>((*a)[1]);
return true;
}
else
return false;
}
bool Box2x2(Expression bb, Expression * box)
{
const E_Array * a= dynamic_cast<const E_Array *>(bb);
if(a && a->size() == 2)
return Box2((*a)[0],box) && Box2((*a)[1],box+2) ;
else
return false;
}
void dump_table()
{
cout << " dump the table of the language " << endl;
cout << " ------------------------------ " <<endl <<endl;
map<const string,basicForEachType *>::const_iterator i; ;
for (i= map_type.begin();i !=map_type.end();i++)
{
cout << " type : " << i->first << endl;
if( i->second )
i->second->ShowTable(cout);
else cout << " Null \n";
cout << "\n\n";
}
for (i= map_type.begin();i !=map_type.end();i++)
{
cout << " type : " << i->first << endl;
if( i->second )
i->second->ShowTable(cout);
else cout << " Null \n";
cout << "\n\n";
}
cout << "--------------------- " << endl;
cout << *TheOperators << endl;
cout << "--------------------- " << endl;
}
/*
class LocalArrayVariable:public E_F0
{
size_t offset;
aType t; // type of the variable just for check
Expression n; // expression of the size
public:
AnyType operator()(Stack s) const {
SHOWVERB( cout << "\n\tget var " << offset << " " << t->name() << endl);
return PtrtoAny(static_cast<void *>(static_cast<char *>(s)+offset),t);}
LocalArrayVariable(size_t o,aType tt,Expression nn):offset(o),t(tt),n(nn) {ffassert(tt);
SHOWVERB(cout << "\n--------new var " << offset << " " << t->name() << endl);
}
};
*/
bool In(long *viso,int n,long v)
{
int i=0,j=n,k;
if (v <viso[0] || v >viso[j-1])
return false;
while (i<j-1)
if ( viso[k=(i+j)/2]> v) j=k;
else i=k;
return (viso[i]=v);
}
class LinkToInterpreter { public:
Type_Expr P,N,x,y,z,label,region,nu_triangle,nu_edge,lenEdge,hTriangle,area,inside,volume;
LinkToInterpreter() ;
};
LinkToInterpreter * l2interpreter;
using namespace Fem2D;
using namespace EF23;
/*
inline pmesh ReadMesh( string * const & s) {
Mesh * m=new Mesh(*s);
R2 Pn,Px;
m->BoundingBox(Pn,Px);
m->quadtree=new FQuadTree(m,Pn,Px,m->nv);
// delete s; modif FH 2006 (stack ptr)
return m;
}
inline pmesh3 ReadMesh3( string * const & s) {
Mesh3 * m=new Mesh3(s->c_str());
R3 Pn,Px;
// m->BoundingBox(Pn,Px);
m->gtree=new Mesh3::GTree(m->vertices,m->Pmin,m->Pmax,m->nv);
// delete s; modif FH 2006 (stack ptr)
return m;
}
*/
template<class Result,class A>
class E_F_A_Ptr_o_R :public E_F0 { public:
typedef Result A::* ptr;
Expression a0;
ptr p;
E_F_A_Ptr_o_R(Expression aa0,ptr pp)
: a0(aa0),p(pp) {}
AnyType operator()(Stack s) const {
return SetAny<Result*>(&(GetAny<A*>((*a0)(s))->*p));}
bool MeshIndependent() const {return a0->MeshIndependent();} //
};
// ----
// remarque pas de template, cela ne marche pas encore ......
class E_P_Stack_P :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<R3*>(&MeshPointStack(s)->P);}
operator aType () const { return atype<R3*>();}
};
class E_P_Stack_Px :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<R*>(&MeshPointStack(s)->P.x);}
operator aType () const { return atype<R*>();}
};
class E_P_Stack_Py :public E_F0mps { public:
AnyType operator()(Stack s) const {throwassert(* (long *) s);
return SetAny<R*>(&MeshPointStack(s)->P.y);}
operator aType () const { return atype<R*>();}
};
class E_P_Stack_Pz :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<R*>(&MeshPointStack(s)->P.z);}
operator aType () const { return atype<R*>();}
};
class E_P_Stack_N :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<R3*>(&MeshPointStack(s)->N);}
operator aType () const { return atype<R3*>();}
};
class E_P_Stack_Nx :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<R*>(&MeshPointStack(s)->N.x);}
operator aType () const { return atype<R*>();}
};
class E_P_Stack_Ny :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<R*>(&MeshPointStack(s)->N.y);}
operator aType () const { return atype<R*>();}
};
class E_P_Stack_Nz :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<R*>(&MeshPointStack(s)->N.z);}
operator aType () const { return atype<R*>();}
};
class E_P_Stack_Region :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<long*>(&MeshPointStack(s)->region);}
operator aType () const { return atype<long*>();}
};
class E_P_Stack_Label :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<long*>(&MeshPointStack(s)->label);}
operator aType () const { return atype<long *>();}
};
class E_P_Stack_Mesh :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<pmesh >(const_cast<pmesh>(MeshPointStack(s)->Th));}
operator aType () const { return atype<pmesh>();}
};
class E_P_Stack_Nu_Triangle :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<long>(MeshPointStack(s)->t);}
operator aType () const { return atype<long>();}
};
class E_P_Stack_Nu_Vertex :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<long>(MeshPointStack(s)->v);}
operator aType () const { return atype<long>();}
};
class E_P_Stack_Nu_Face :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<long>(MeshPointStack(s)->f);}
operator aType () const { return atype<long>();}
};
class E_P_Stack_Nu_Edge :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<long>(MeshPointStack(s)->e);}
operator aType () const { return atype<long>();}
};
class E_P_Stack_inside :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
return SetAny<double>(MeshPointStack(s)->outside? 0.0 : 1.0 );}
operator aType () const { return atype<double>();}
};
class E_P_Stack_lenEdge :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
MeshPoint * mp=MeshPointStack(s);
ffassert(mp->T && mp ->e >=0 && mp->d==2);
double l= mp->T->lenEdge(mp->e);
return SetAny<double>(l);}
operator aType () const { return atype<double>();}
};
class E_P_Stack_hTriangle :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
MeshPoint * mp=MeshPointStack(s);
assert(mp->T) ;
double l= mp->T->h();
return SetAny<double>(l);}
operator aType () const { return atype<double>();}
};
class E_P_Stack_nTonEdge :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
MeshPoint * mp=MeshPointStack(s);
assert(mp->T && mp->e > -1 && mp->d==2 ) ;
long l=mp->Th->nTonEdge(mp->t,mp->e);
// cout << " nTonEdge " << l << endl;
return SetAny<long>( l) ;}
operator aType () const { return atype<long>();}
};
template<int NBT>
class E_P_Stack_TypeEdge :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
MeshPoint * mp=MeshPointStack(s);
assert(mp->T && mp->e > -1 && mp->d==2 ) ;
long l=mp->Th->nTonEdge(mp->t,mp->e)==NBT;
// cout << " nTonEdge " << l << endl;
return SetAny<long>( l) ;}
operator aType () const { return atype<long>();}
};
class E_P_Stack_areaTriangle :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
MeshPoint * mp=MeshPointStack(s);
assert(mp->T) ;
double l=-1; // unset ...
if(mp->d==2)
l= mp->T->area;
else if (mp->d==3 && mp->f >=0)
{
R3 NN = mp->T3->N(mp->f);
l= NN.norme()/2.;
}
else
{
cout << "erreur : E_P_Stack_areaTriangle" << mp->d << " " << mp->f << endl;
ffassert(0); // undef
}
return SetAny<double>(l);}
operator aType () const { return atype<double>();}
};
// Add jan 2018
class E_P_Stack_EdgeOrient :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
MeshPoint &mp= *MeshPointStack(s); // the struct to get x,y, normal , value
double r=1;
if(mp.d==2)
{
if( mp.T && mp.e >=0 )
r=mp.T->EdgeOrientation(mp.e);
}
else // 3D ...
{
if( mp.T3 && mp.f >=0 )
r = mp.T3->faceOrient( mp.f);
}
return r ;
}
operator aType () const { return atype<double>();}
};
// add FH
class E_P_Stack_VolumeTet :public E_F0mps { public:
AnyType operator()(Stack s) const { throwassert(* (long *) s);
MeshPoint * mp=MeshPointStack(s);
assert(mp->T) ;
double l=-1; // unset ...
if (mp->d==3 && mp->T3 )
{
l= mp->T3->mesure();
}
else
{
cout << "erreur : E_P_Stack_VolumeTet" << mp->d << " " << mp->f << endl;
ffassert(0); // undef
}
return SetAny<double>(l);}
operator aType () const { return atype<double>();}
};
/*
class New_MeshPoint : public E_F0mps {
};*/
//inline pfes MakePtr(pmesh * const & a, TypeOfFE * const & tef){ return pfes(new pfes_tef(a,tef)) ;}
//inline pfes MakePtr(pmesh * const & a){ return pfes(new pfes_tef(a,&P1Lagrange)) ;}
//inline pfes MakePtr(pfes * const & a,long const & n){ return pfes(new pfes_fes(a,n)) ;}
/*
class E_pfes : public E_F0 {
const int N;
Expression *Th,*tef;
E_pfes(Expression *TTh,*ttef) : Th(TTh),tef(ttef),N(ttef?ttef->nbitem():0) {}
virtual AnyType operator()(Stack) const {
return AnyType<pfes*>
}
virtual size_t nbitem() const {return 1;}
};
OneOperator_pfes():OneOperator(atype<void>(),atype<E_Array>(),atype<E_Array>()) {}
E_F0 * code(const basicAC_F0 & args) const ;
};*/
template<class R>
class E_StopGC: public StopGC<R> {
public:
typedef KN<R> Kn;
typedef KN_<R> Kn_;
Stack s;
long n;
long iter;
Kn_ xx,gg;
C_F0 citer,cxx,cgg;
C_F0 stop;
E_StopGC(Stack ss,long nn,const Polymorphic * op): s(ss),n(nn),iter(-1),
xx(0,0),gg(0,0),
citer(CConstant<long*>(&iter)),
cxx(dCPValue(&xx)),
cgg(dCPValue(&gg)),
stop(op,"(",citer,cxx,cgg)
{
}
~E_StopGC()
{// a verifier ???? FH....
delete (E_F0 *) cxx; // ???
delete (E_F0 *) cgg; // ???
delete (E_F0 *) citer; // ???
delete (E_F0 *) stop; // ???
}
// template<class R> class StopGC { public: virtual bool Stop(int iter, R *, R * ){return false;} };
bool Stop(int iterr, R *x, R * g)
{
// cout << " Stop " << iterr << endl;
iter=iterr;
xx.set(x,n);
gg.set(g,n);
return GetAny<bool>(stop.eval(s));
}
};
template<class R>
class LinearCG : public OneOperator
{ public:
typedef KN<R> Kn;
typedef KN_<R> Kn_;
const int cas;
class MatF_O: VirtualMatrice<R> { public:
Stack stack;
mutable Kn x;
C_F0 c_x;
Expression mat1,mat;
typedef typename VirtualMatrice<R>::plusAx plusAx;
MatF_O(int n,Stack stk,const OneOperator * op)
: VirtualMatrice<R>(n),stack(stk),
x(n),c_x(CPValue(x)),
mat1(op->code(basicAC_F0_wa(c_x))),
mat( CastTo<Kn_>(C_F0(mat1,(aType)*op))) {
//ffassert(atype<Kn_ >() ==(aType) *op);
// WhereStackOfPtr2Free(stack)=new StackOfPtr2Free(stack);// FH mars 2005
}
~MatF_O() {
// cout << " del MatF_O mat " << endl;
if(mat1 != mat)
delete mat;
delete mat1;
// cout << " del MatF_Ocx ..." << endl;
Expression zzz = c_x;
// cout << " zzz "<< zzz << endl;
delete zzz;
// WhereStackOfPtr2Free(stack)->clean(); // FH mars 2005
}
void addMatMul(const Kn_ & xx, Kn_ & Ax) const {
ffassert(xx.N()==Ax.N());
x =xx;
Ax += GetAny<Kn_>((*mat)(stack));
WhereStackOfPtr2Free(stack)->clean();
}
plusAx operator*(const Kn & x) const {return plusAx(this,x);}
virtual bool ChecknbLine(int n) const { return true;}
virtual bool ChecknbColumn(int m) const { return true;}
};
class E_LCG: public E_F0mps { public:
const int cas;// <0 => Nolinear
static const int n_name_param=6;
static basicAC_F0::name_and_type name_param[] ;
Expression nargs[n_name_param];
const OneOperator *A, *C;
Expression X,B;
E_LCG(const basicAC_F0 & args,int cc) :cas(cc)
{
args.SetNameParam(n_name_param,name_param,nargs);
{ const Polymorphic * op= dynamic_cast<const Polymorphic *>(args[0].LeftValue());
ffassert(op);
A = op->Find("(",ArrayOfaType(atype<Kn* >(),false)); }
if (nargs[2])
{ const Polymorphic * op= dynamic_cast<const Polymorphic *>(nargs[2]);
ffassert(op);
C = op->Find("(",ArrayOfaType(atype<Kn* >(),false)); }
else C =0;
X = to<Kn*>(args[1]);
if (args.size()>2)
B = to<Kn*>(args[2]);
else
B=0;
}
virtual AnyType operator()(Stack stack) const {
int ret=-1;
E_StopGC<R> *stop=0;
// WhereStackOfPtr2Free(stack)=new StackOfPtr2Free(stack);// FH mars 2005
try {
Kn &x = *GetAny<Kn *>((*X)(stack));
int n=x.N();
MatF_O AA(n,stack,A);
double eps = 1.0e-6;
double *veps=0;
int nbitermax= 100;
long verb = verbosity;
if (nargs[0]) eps= GetAny<double>((*nargs[0])(stack));
if (nargs[1]) nbitermax = GetAny<long>((*nargs[1])(stack));
if (nargs[3]) veps=GetAny<double*>((*nargs[3])(stack));
if (nargs[4]) verb=Abs(GetAny<long>((*nargs[4])(stack)));
if (nargs[5]) stop= new E_StopGC<R>(stack,n,dynamic_cast<const Polymorphic *>(nargs[5]));
// cout << " E_LCG: Stop = " << stop << " " << verb << endl;
long gcverb=51L-Min(Abs(verb),50L);
if(verb==0) gcverb = 1000000000;// no print
if(veps) eps= *veps;
KN<R> bzero(B?1:n); // const array zero
bzero=R();
KN<R> *bb=&bzero;
if (B) {
Kn &b = *GetAny<Kn *>((*B)(stack));
R p = (b,b);
if (p== R())
{
// ExecError("Sorry LinearCG work only with nul right hand side, so put the right hand in the function");
}
bb = &b;
}
if (cas<0) {
if (C)
{ MatF_O CC(n,stack,C);
ret = NLCG(AA,CC,x,nbitermax,eps, gcverb,stop );}
else
ret = NLCG(AA,MatriceIdentite<R>(n),x,nbitermax,eps, gcverb,stop);
}
else
if (C)
{ MatF_O CC(n,stack,C);
ret = ConjuguedGradient2(AA,CC,x,*bb,nbitermax,eps, gcverb, stop );}
else
ret = ConjuguedGradient2(AA,MatriceIdentite<R>(n),x,*bb,nbitermax,eps, gcverb, stop );
if(veps) *veps = -(eps);
}
catch(...)
{
if( stop) delete stop;
// WhereStackOfPtr2Free(stack)->clean(); // FH mars 2005
throw;
}
// WhereStackOfPtr2Free(stack)->clean(); // FH mars 2005
if( stop) delete stop;
return SetAny<long>(ret);
}
operator aType () const { return atype<long>();}
};
E_F0 * code(const basicAC_F0 & args) const {
return new E_LCG(args,cas);}
LinearCG() : OneOperator(atype<long>(),
atype<Polymorphic*>(),
atype<KN<R> *>(),atype<KN<R> *>()),cas(2){}
LinearCG(int cc) : OneOperator(atype<long>(),
atype<Polymorphic*>(),
atype<KN<R> *>()),cas(cc){}
};
template<class R>
basicAC_F0::name_and_type LinearCG<R>::E_LCG::name_param[]= {
{ "eps", &typeid(double) },
{ "nbiter",&typeid(long) },
{ "precon",&typeid(Polymorphic*)},
{ "veps" , &typeid(double*) },
{ "verbosity" , &typeid(long)},
{ "stop" , &typeid(Polymorphic*)}
};
template<class R>
class LinearGMRES : public OneOperator
{ public:
typedef KN<R> Kn;
typedef KN_<R> Kn_;
const int cas;
class MatF_O: VirtualMatrice<R> { public:
Stack stack;
mutable Kn x;
C_F0 c_x;
Kn *b;
Expression mat1,mat;
typedef typename VirtualMatrice<R>::plusAx plusAx;
MatF_O(int n,Stack stk,const OneOperator * op,Kn *bb)
: VirtualMatrice<R>(n),
stack(stk),
x(n),c_x(CPValue(x)),b(bb),
mat1(op->code(basicAC_F0_wa(c_x))),
mat( CastTo<Kn_>(C_F0(mat1,(aType)*op)) /*op->code(basicAC_F0_wa(c_x))*/) {
// ffassert(atype<Kn_ >() ==(aType) *op);
}
~MatF_O() { if(mat1!=mat) delete mat; delete mat1; delete c_x.LeftValue();}
void addMatMul(const Kn_ & xx, Kn_ & Ax) const {
ffassert(xx.N()==Ax.N());
x =xx;
Ax += GetAny<Kn_>((*mat)(stack));
if(b && &Ax!=b) Ax += *b; // Ax -b => add b (not in cas of init. b c.a.d &Ax == b
WhereStackOfPtr2Free(stack)->clean(); // add dec 2008
}
plusAx operator*(const Kn & x) const {return plusAx(this,x);}
virtual bool ChecknbLine(int n) const { return true;}
virtual bool ChecknbColumn(int m) const { return true;}
};
class E_LGMRES: public E_F0mps { public:
const int cas;// <0 => Nolinear
static basicAC_F0::name_and_type name_param[] ;
static const int n_name_param =7;
Expression nargs[n_name_param];
const OneOperator *A, *C;
Expression X,B;
E_LGMRES(const basicAC_F0 & args,int cc) :cas(cc)
{
args.SetNameParam(n_name_param,name_param,nargs);
{ const Polymorphic * op= dynamic_cast<const Polymorphic *>(args[0].LeftValue());
ffassert(op);
A = op->Find("(",ArrayOfaType(atype<Kn* >(),false)); }
if (nargs[2])
{ const Polymorphic * op= dynamic_cast<const Polymorphic *>(nargs[2]);
ffassert(op);
C = op->Find("(",ArrayOfaType(atype<Kn* >(),false)); }
else C =0;
X = to<Kn*>(args[1]);
if (args.size()>2)
B = to<Kn*>(args[2]);
else
B=0;
}
virtual AnyType operator()(Stack stack) const {
Kn &x = *GetAny<Kn *>((*X)(stack));
Kn b(x.n);
E_StopGC<R> *stop=0;
if (B) b = *GetAny<Kn *>((*B)(stack));
else b= R();
int n=x.N();
int dKrylov=50;
double eps = 1.0e-6;
int nbitermax= 100;
long verb = verbosity;
if (nargs[0]) eps= GetAny<double>((*nargs[0])(stack));
if (nargs[1]) nbitermax = GetAny<long>((*nargs[1])(stack));
if (nargs[3]) eps= *GetAny<double*>((*nargs[3])(stack));
if (nargs[4]) dKrylov= GetAny<long>((*nargs[4])(stack));
if (nargs[5]) verb=Abs(GetAny<long>((*nargs[5])(stack)));
if (nargs[6]) stop= new E_StopGC<R>(stack,n,dynamic_cast<const Polymorphic *>(nargs[6]));
long gcverb=51L-Min(Abs(verb),50L);
int ret;
if(verbosity>4)
cout << " ..GMRES: eps= " << eps << " max iter " << nbitermax
<< " dim of Krylov space " << dKrylov << endl;
KNM<R> H(dKrylov+1,dKrylov+1);
int k=dKrylov;//,nn=n;
double epsr=eps;
KN<R> bzero(B?1:n); // const array zero
bzero=R();
KN<R> *bb=&bzero;
if (B) {
Kn &b = *GetAny<Kn *>((*B)(stack));
R p = (b,b);
if (p)
{
// ExecError("Sorry MPILinearCG work only with nul right hand side, so put the right hand in the function");
}
bb = &b;
}
KN<R> * bbgmres =0;
if ( !B ) bbgmres=bb; // none zero if gmres without B
MatF_O AA(n,stack,A,bbgmres);
if(bbgmres ){
AA.addMatMul(*bbgmres,*bbgmres); // Ok Ax == b -> not translation of b .
*bbgmres = - *bbgmres;
if(verbosity>1) cout << " ** GMRES set b = -A(0); : max=" << bbgmres->max() << " " << bbgmres->min()<<endl;
}
//cout << " ** GMRES bb max=" << bb->max() << " " << bb->min()<<endl;
if (cas<0) {
ErrorExec("NL GMRES: to do! sorry ",1);
/* if (C)
{ MatF_O CC(n,stack,C);
ret = NLGMRES(AA,CC,x,nbitermax,eps, 51L-Min(Abs(verbosity),50L) );}
else
ret = NLGMRES(AA,MatriceIdentite<R>(n),x,nbitermax,eps, 51L-Min(Abs(verbosity),50L));
ConjuguedGradient */
}
else
{
if (C)
{ MatF_O CC(n,stack,C,0);
ret=GMRES(AA,(KN<R> &)x, *bb,CC,H,k,nbitermax,epsr,verb,stop);}
else
ret=GMRES(AA,(KN<R> &)x, *bb,MatriceIdentite<R>(n),H,k,nbitermax,epsr,verb,stop);
}
if(verbosity>99) cout << " Sol GMRES :" << x << endl;
if(stop) delete stop;
return SetAny<long>(ret);
}
operator aType () const { return atype<long>();}
};
E_F0 * code(const basicAC_F0 & args) const {
return new E_LGMRES(args,cas);}
LinearGMRES() : OneOperator(atype<long>(),
atype<Polymorphic*>(),
atype<KN<R> *>(),atype<KN<R> *>()),cas(2){}
LinearGMRES(int cc) : OneOperator(atype<long>(),
atype<Polymorphic*>(),
atype<KN<R> *>()),cas(cc){}
};
template<class R>
basicAC_F0::name_and_type LinearGMRES<R>::E_LGMRES::name_param[]= {
{ "eps", &typeid(double) },
{ "nbiter",&typeid(long) },
{ "precon",&typeid(Polymorphic*)},
{ "veps" , &typeid(double*) },
{ "dimKrylov", &typeid(long) },
{ "verbosity", &typeid(long) },
{ "stop" , &typeid(Polymorphic*)}
};
template<typename int2>
typename map<int,int2>::iterator closeto(map<int,int2> & m, int k)
{
typename map<int,int2>::iterator i= m.find(k);
if (i==m.end())
{
i= m.find(k+1);
if (i==m.end())
i= m.find(k-1);
}
return i;
}
template<class T,int N>
class Smallvect { public:
T v[N];
T & operator[](int i){return v[i];}
const T & operator[](int i) const {return v[i];}
};
template<class T,int N>
ostream & operator<<(ostream & f,const Smallvect<T,N> & v)
{
for(int i=0;i<N;++i) f << v[i] << ' ';
return f;
}
template<class T>
int numeroteclink(KN_<T> & ndfv)
{
int nbdfv =0;
for (int i=0;i<ndfv.N();i++)
if (ndfv[i]>=i)
{
int j=i,ii,kkk=0;
do {
ii=ndfv[j];
ffassert(kkk++<10);