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caml_z.c
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/**
Implementation of Z module.
This file is part of the Zarith library
http://forge.ocamlcore.org/projects/zarith .
It is distributed under LGPL 2 licensing, with static linking exception.
See the LICENSE file included in the distribution.
Copyright (c) 2010-2011 Antoine Miné, Abstraction project.
Abstraction is part of the LIENS (Laboratoire d'Informatique de l'ENS),
a joint laboratory by:
CNRS (Centre national de la recherche scientifique, France),
ENS (École normale supérieure, Paris, France),
INRIA Rocquencourt (Institut national de recherche en informatique, France).
*/
/*---------------------------------------------------
INCLUDES
---------------------------------------------------*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <stdint.h>
#include <limits.h>
#ifdef HAS_GMP
#include <gmp.h>
#endif
#ifdef HAS_MPIR
#include <mpir.h>
#endif
#include "z_features.h"
#include "zarith.h"
#ifdef __cplusplus
extern "C" {
#endif
#include <caml/mlvalues.h>
#include <caml/memory.h>
#include <caml/alloc.h>
#include <caml/fail.h>
#include <caml/custom.h>
#include <caml/intext.h>
#include <caml/callback.h>
#include <caml/intext.h>
#ifdef Z_OCAML_HASH
#include <caml/hash.h>
#endif
#define inline __inline
#ifdef _MSC_VER
#include <float.h>
#endif
/*---------------------------------------------------
CONFIGURATION
---------------------------------------------------*/
/* Whether to enable native (i.e. non-mpn_) operations and output
ocaml integers when possible.
Highly recommended.
*/
#define Z_FAST_PATH 1
#define Z_USE_NATINT 1
/* Sanity checks. */
#define Z_PERFORM_CHECK 0
/* Enable performance counters.
Prints some info on stdout at exit.
*/
/*
#define Z_PERF_COUNTER 0
now set by configure
*/
/* whether to use custom blocks (supporting serialization, comparison &
hashing) instead of abstract tags
*/
#define Z_CUSTOM_BLOCK 1
/* whether the "compare_ext" operation over custom blocks is supported.
This operation is required for OCaml's generic comparisons to
operate properly over values of type Z.t.
The compare_ext operation is supported in OCaml since version 3.12.1.
*/
/*
#define Z_OCAML_COMPARE_EXT 0
now set by configure
*/
/*---------------------------------------------------
DATA STRUCTURES
---------------------------------------------------*/
/*
we assume that:
- intnat is a signed integer type
- mp_limb_t is an unsigned integer type
- sizeof(intnat) == sizeof(mp_limb_t) == either 4 or 8
*/
#ifdef _WIN64
#define PRINTF_LIMB "I64"
#else
#define PRINTF_LIMB "l"
#endif
/*
A z object x can be:
- either an ocaml int
- or a block with abstract or custom tag and containing:
. a 1 value header containing the sign Z_SIGN(x) and the size Z_SIZE(x)
. Z_SIZE(x) mp_limb_t
Invariant:
- if the number fits in an int, it is stored in an int, not a block
- if the number is stored in a block, then Z_SIZE(x) >= 1 and
the most significant limb Z_LIMB(x)[Z_SIZE(x)] is not 0
*/
/* a sign is always denoted as 0 (+) or Z_SIGN_MASK (-) */
#ifdef ARCH_SIXTYFOUR
#define Z_SIGN_MASK 0x8000000000000000
#define Z_SIZE_MASK 0x7fffffffffffffff
#else
#define Z_SIGN_MASK 0x80000000
#define Z_SIZE_MASK 0x7fffffff
#endif
#if Z_CUSTOM_BLOCK
#define Z_HEAD(x) (*((value*)Data_custom_val((x))))
#define Z_LIMB(x) ((mp_limb_t*)Data_custom_val((x)) + 1)
#else
#define Z_HEAD(x) (Field((x),0))
#define Z_LIMB(x) ((mp_limb_t*)&(Field((x),1)))
#endif
#define Z_SIGN(x) (Z_HEAD((x)) & Z_SIGN_MASK)
#define Z_SIZE(x) (Z_HEAD((x)) & Z_SIZE_MASK)
/* bounds of an Ocaml int */
#ifdef ARCH_SIXTYFOUR
#define Z_MAX_INT 0x3fffffffffffffff
#define Z_MIN_INT (-0x4000000000000000)
#else
#define Z_MAX_INT 0x3fffffff
#define Z_MIN_INT (-0x40000000)
#endif
#define Z_FITS_INT(v) ((v) >= Z_MIN_INT && (v) <= Z_MAX_INT)
/* Z_MAX_INT may not be representable exactly as a double => we use a
lower approximation to be safe
*/
#ifdef ARCH_SIXTYFOUR
#define Z_MAX_INT_FL 0x3ffffffffffff000
#define Z_MIN_INT_FL (-Z_MAX_INT_FL)
#else
#define Z_MAX_INT_FL Z_MAX_INT
#define Z_MIN_INT_FL Z_MIN_INT
#endif
/* safe bounds to avoid overflow in multiplication */
#ifdef ARCH_SIXTYFOUR
#define Z_MAX_HINT 0x3fffffff
#else
#define Z_MAX_HINT 0x3fff
#endif
#define Z_MIN_HINT (-Z_MAX_HINT)
#define Z_FITS_HINT(v) ((v) >= Z_MIN_HINT && (v) <= Z_MAX_HINT)
/* hi bit of OCaml int32, int64 & nativeint */
#define Z_HI_INT32 0x80000000
#define Z_HI_INT64 0x8000000000000000LL
#ifdef ARCH_SIXTYFOUR
#define Z_HI_INTNAT Z_HI_INT64
#define Z_HI_INT 0x4000000000000000
#else
#define Z_HI_INTNAT Z_HI_INT32
#define Z_HI_INT 0x40000000
#endif
/* safe bounds for the length of a base n string fitting in a native
int. Defined as the result of (n - 2) log_base(2) with n = 64 or
32.
*/
#ifdef ARCH_SIXTYFOUR
#define Z_BASE16_LENGTH_OP 15
#define Z_BASE10_LENGTH_OP 18
#define Z_BASE8_LENGTH_OP 20
#define Z_BASE2_LENGTH_OP 62
#else
#define Z_BASE16_LENGTH_OP 7
#define Z_BASE10_LENGTH_OP 9
#define Z_BASE8_LENGTH_OP 10
#define Z_BASE2_LENGTH_OP 30
#endif
#define Z_LIMB_BITS (8 * sizeof(mp_limb_t))
/* performance counters */
unsigned long ml_z_ops = 0;
unsigned long ml_z_slow = 0;
unsigned long ml_z_ops_as = 0;
#if Z_PERF_COUNTER
#define Z_MARK_OP ml_z_ops++
#define Z_MARK_SLOW ml_z_slow++
#else
#define Z_MARK_OP
#define Z_MARK_SLOW
#endif
/*---------------------------------------------------
UTILITIES
---------------------------------------------------*/
extern struct custom_operations ml_z_custom_ops;
static double ml_z_2p32; /* 2 ^ 32 in double */
#if Z_PERFORM_CHECK
/* for debugging: dump a mp_limb_t array */
static void ml_z_dump(const char* msg, mp_limb_t* p, mp_size_t sz)
{
mp_size_t i;
printf("%s %i: ",msg,(int)sz);
for (i = 0; i < sz; i++)
#ifdef ARCH_SIXTYFOUR
printf("%08" PRINTF_LIMB "x ",p[i]);
#else
printf("%04" PRINTF_LIMB "x ",p[i]);
#endif
printf("\n");
fflush(stdout);
}
#endif
#if Z_PERFORM_CHECK
/* for debugging: check invariant */
void ml_z_check(const char* fn, int line, const char* arg, value v)
{
mp_size_t sz;
if (Is_block(v)) {
#if Z_CUSTOM_BLOCK
if (Custom_ops_val(v) != &ml_z_custom_ops) {
printf("ml_z_check: wrong custom block for %s at %s:%i.\n",
arg, fn, line);
exit(1);
}
sz = Wosize_val(v) - 1;
#else
sz = Wosize_val(v);
#endif
if (Z_SIZE(v) + 2 > sz) {
printf("ml_z_check: invalid block size (%i / %i) for %s at %s:%i.\n",
(int)Z_SIZE(v), (int)sz,
arg, fn, line);
exit(1);
}
if ((mp_size_t) Z_LIMB(v)[sz - 2] != (mp_size_t)(0xDEADBEEF ^ (sz - 2))) {
printf("ml_z_check: corrupted block for %s at %s:%i.\n",
arg, fn, line);
exit(1);
}
if (Z_SIZE(v) && Z_LIMB(v)[Z_SIZE(v)-1]) return;
#if !Z_USE_NATINT
if (!Z_SIZE(v)) {
if (Z_SIGN(v)) {
printf("ml_z_check: invalid sign of 0 for %s at %s:%i.\n",
arg, fn, line);
exit(1);
}
return;
}
if (Z_SIZE(v) <= 1 && Z_LIMB(v)[0] <= Z_MAX_INT) {
printf("ml_z_check: unreduced argument for %s at %s:%i.\n", arg, fn, line);
ml_z_dump("offending argument: ", Z_LIMB(v), Z_SIZE(v));
exit(1);
}
#endif
printf("ml_z_check failed for %s at %s:%i.\n", arg, fn, line);
ml_z_dump("offending argument: ", Z_LIMB(v), Z_SIZE(v));
exit(1);
}
}
#endif
/* for debugging */
#if Z_PERFORM_CHECK
#define Z_CHECK(v) ml_z_check(__FUNCTION__, __LINE__, #v, v)
#else
#define Z_CHECK(v)
#endif
/* allocates z object block with space for sz mp_limb_t;
does not set the header
*/
#if !Z_PERFORM_CHECK
/* inlined allocation */
#if Z_CUSTOM_BLOCK
#define ml_z_alloc(sz) \
caml_alloc_custom(&ml_z_custom_ops, (1 + (sz)) * sizeof(value), 0, 1)
#else
#define ml_z_alloc(sz) \
caml_alloc(1 + (sz), Abstract_tag);
#endif
#else
/* out-of-line allocation, inserting a canary after the last limb */
static value ml_z_alloc(mp_size_t sz)
{
value v;
#if Z_CUSTOM_BLOCK
v = caml_alloc_custom(&ml_z_custom_ops, (1 + sz + 1) * sizeof(value), 0, 1);
#else
v = caml_alloc(1 + sz + 1, Abstract_tag);
#endif
Z_LIMB(v)[sz] = 0xDEADBEEF ^ sz;
return v;
}
#endif
/* duplicates the caml block src */
static inline void ml_z_cpy_limb(mp_limb_t* dst, mp_limb_t* src, mp_size_t sz)
{
memcpy(dst, src, sz * sizeof(mp_limb_t));
}
/* duplicates the mp_limb_t array src */
static inline mp_limb_t* ml_z_dup_limb(mp_limb_t* src, mp_size_t sz)
{
mp_limb_t* r = (mp_limb_t*) malloc(sz * sizeof(mp_limb_t));
memcpy(r, src, sz * sizeof(mp_limb_t));
return r;
}
#ifdef _MSC_VER
#define MAYBE_UNUSED
#else
#define MAYBE_UNUSED (void)
#endif
/* given a z object, define:
- ptr_arg: a pointer to the first mp_limb_t
- size_arg: the number of mp-limb_t
- sign_arg: the sign of the number
if arg is an int, it is converted to a 1-limb number
*/
#define Z_DECL(arg) \
mp_limb_t loc_##arg, *ptr_##arg; \
mp_size_t size_##arg; \
intnat sign_##arg; \
MAYBE_UNUSED loc_##arg; \
MAYBE_UNUSED ptr_##arg; \
MAYBE_UNUSED size_##arg; \
MAYBE_UNUSED sign_##arg;
#define Z_ARG(arg) \
if (Is_long(arg)) { \
intnat n = Long_val(arg); \
loc_##arg = n < 0 ? -n : n; \
sign_##arg = n & Z_SIGN_MASK; \
size_##arg = n != 0; \
ptr_##arg = &loc_##arg; \
} \
else { \
size_##arg = Z_SIZE(arg); \
sign_##arg = Z_SIGN(arg); \
ptr_##arg = Z_LIMB(arg); \
}
/* After an allocation, a heap-allocated Z argument may have moved and
its ptr_arg pointer can be invalid. Reset the ptr_arg pointer to
its correct value. */
#define Z_REFRESH(arg) \
if (! Is_long(arg)) ptr_##arg = Z_LIMB(arg);
/* computes the actual size of the z object r and updates its header,
either returns r or, if the number is small enough, an int
*/
static value ml_z_reduce(value r, mp_size_t sz, intnat sign)
{
while (sz > 0 && !Z_LIMB(r)[sz-1]) sz--;
#if Z_USE_NATINT
if (!sz) return Val_long(0);
if (sz <= 1 && Z_LIMB(r)[0] <= Z_MAX_INT) {
if (sign) return Val_long(-Z_LIMB(r)[0]);
else return Val_long(Z_LIMB(r)[0]);
}
#else
if (!sz) sign = 0;
#endif
Z_HEAD(r) = sz | sign;
return r;
}
static void ml_z_raise_overflow()
{
caml_raise_constant(*caml_named_value("ml_z_overflow"));
}
#define ml_z_raise_divide_by_zero() \
caml_raise_zero_divide()
/*---------------------------------------------------
CONVERSION FUNCTIONS
---------------------------------------------------*/
CAMLprim value ml_z_of_int(value v)
{
#if Z_USE_NATINT
Z_MARK_OP;
return v;
#else
intnat x;
value r;
Z_MARK_OP;
Z_MARK_SLOW;
x = Long_val(v);
r = ml_z_alloc(1);
if (x > 0) { Z_HEAD(r) = 1; Z_LIMB(r)[0] = x; }
else if (x < 0) { Z_HEAD(r) = 1 | Z_SIGN_MASK; Z_LIMB(r)[0] = -x; }
else Z_HEAD(r) = 0;
Z_CHECK(r);
return r;
#endif
}
CAMLprim value ml_z_of_nativeint(value v)
{
intnat x;
value r;
Z_MARK_OP;
x = Nativeint_val(v);
#if Z_USE_NATINT
if (Z_FITS_INT(x)) return Val_long(x);
#endif
Z_MARK_SLOW;
r = ml_z_alloc(1);
if (x > 0) { Z_HEAD(r) = 1; Z_LIMB(r)[0] = x; }
else if (x < 0) { Z_HEAD(r) = 1 | Z_SIGN_MASK; Z_LIMB(r)[0] = -x; }
else Z_HEAD(r) = 0;
Z_CHECK(r);
return r;
}
CAMLprim value ml_z_of_int32(value v)
{
int32_t x;
Z_MARK_OP;
x = Int32_val(v);
#if Z_USE_NATINT && defined(ARCH_SIXTYFOUR)
return Val_long(x);
#else
#if Z_USE_NATINT
if (Z_FITS_INT(x)) return Val_long(x);
#endif
{
value r;
Z_MARK_SLOW;
r = ml_z_alloc(1);
if (x > 0) { Z_HEAD(r) = 1; Z_LIMB(r)[0] = x; }
else if (x < 0) { Z_HEAD(r) = 1 | Z_SIGN_MASK; Z_LIMB(r)[0] = -(mp_limb_t)x; }
else Z_HEAD(r) = 0;
Z_CHECK(r);
return r;
}
#endif
}
CAMLprim value ml_z_of_int64(value v)
{
int64_t x;
value r;
Z_MARK_OP;
x = Int64_val(v);
#if Z_USE_NATINT
if (Z_FITS_INT(x)) return Val_long(x);
#endif
Z_MARK_SLOW;
#ifdef ARCH_SIXTYFOUR
r = ml_z_alloc(1);
if (x > 0) { Z_HEAD(r) = 1; Z_LIMB(r)[0] = x; }
else if (x < 0) { Z_HEAD(r) = 1 | Z_SIGN_MASK; Z_LIMB(r)[0] = -x; }
else Z_HEAD(r) = 0;
#else
{
mp_limb_t sign;
r = ml_z_alloc(2);
if (x >= 0) { sign = 0; }
else { sign = Z_SIGN_MASK; x = -x; }
Z_LIMB(r)[0] = x;
Z_LIMB(r)[1] = x >> 32;
r = ml_z_reduce(r, 2, sign);
}
#endif
Z_CHECK(r);
return r;
}
CAMLprim value ml_z_of_float(value v)
{
double x;
int exp;
int64_t y, m;
value r;
Z_MARK_OP;
x = Double_val(v);
#if Z_USE_NATINT
if (x >= Z_MIN_INT_FL && x <= Z_MAX_INT_FL) return Val_long((intnat) x);
#endif
Z_MARK_SLOW;
#ifdef ARCH_ALIGN_INT64
memcpy(&y, (void *) v, 8);
#else
y = *((int64_t*)v);
#endif
exp = ((y >> 52) & 0x7ff) - 1023; /* exponent */
if (exp < 0) return(Val_long(0));
if (exp == 1024) ml_z_raise_overflow(); /* NaN or infinity */
m = (y & 0x000fffffffffffffLL) | 0x0010000000000000LL; /* mantissa */
if (exp <= 52) {
m >>= 52-exp;
#ifdef ARCH_SIXTYFOUR
r = Val_long((x >= 0.) ? m : -m);
#else
r = ml_z_alloc(2);
Z_LIMB(r)[0] = m;
Z_LIMB(r)[1] = m >> 32;
r = ml_z_reduce(r, 2, (x >= 0.) ? 0 : Z_SIGN_MASK);
#endif
}
else {
int c1 = (exp-52) / Z_LIMB_BITS;
int c2 = (exp-52) % Z_LIMB_BITS;
mp_size_t i;
#ifdef ARCH_SIXTYFOUR
r = ml_z_alloc(c1 + 2);
for (i = 0; i < c1; i++) Z_LIMB(r)[i] = 0;
Z_LIMB(r)[c1] = m << c2;
Z_LIMB(r)[c1+1] = c2 ? (m >> (64-c2)) : 0;
r = ml_z_reduce(r, c1 + 2, (x >= 0.) ? 0 : Z_SIGN_MASK);
#else
r = ml_z_alloc(c1 + 3);
for (i = 0; i < c1; i++) Z_LIMB(r)[i] = 0;
Z_LIMB(r)[c1] = m << c2;
Z_LIMB(r)[c1+1] = m >> (32-c2);
Z_LIMB(r)[c1+2] = c2 ? (m >> (64-c2)) : 0;
r = ml_z_reduce(r, c1 + 3, (x >= 0.) ? 0 : Z_SIGN_MASK);
#endif
}
Z_CHECK(r);
return r;
}
CAMLprim value ml_z_of_substring_base(value b, value v, value offset, value length)
{
CAMLparam1(v);
CAMLlocal1(r);
intnat ofs = Long_val(offset);
intnat len = Long_val(length);
/* make sure the ofs/length make sense */
if (ofs < 0
|| len < 0
|| (intnat)caml_string_length(v) < ofs + len)
caml_invalid_argument("Z.of_substring_base: invalid offset or length");
/* process the string */
const char *d = String_val(v) + ofs;
const char *end = d + len;
mp_size_t i, sz, sz2;
mp_limb_t sign = 0;
intnat base = Long_val(b);
/* We allow [d] to advance beyond [end] while parsing the prefix:
sign, base, and/or leading zeros.
This simplifies the code, and reading these locations is safe since
we don't progress beyond a terminating null character.
At the end of the prefix, if we ran past the end, we return 0.
*/
/* get optional sign */
if (*d == '-') { sign ^= Z_SIGN_MASK; d++; }
if (*d == '+') d++;
/* get optional base */
if (!base) {
base = 10;
if (*d == '0') {
d++;
if (*d == 'o' || *d == 'O') { base = 8; d++; }
else if (*d == 'x' || *d == 'X') { base = 16; d++; }
else if (*d == 'b' || *d == 'B') { base = 2; d++; }
}
}
if (base < 2 || base > 16)
caml_invalid_argument("Z.of_substring_base: base must be between 2 and 16");
while (*d == '0') d++;
/* sz is the length of the substring that has not been consumed above. */
sz = end - d;
#if Z_USE_NATINT
if (sz <= 0) {
/* "+", "-", "0x" are parsed as 0. */
r = Val_long(0);
}
/* Process common case (fits into a native integer) */
else if ((base == 10 && sz <= Z_BASE10_LENGTH_OP)
|| (base == 16 && sz <= Z_BASE16_LENGTH_OP)
|| (base == 8 && sz <= Z_BASE8_LENGTH_OP)
|| (base == 2 && sz <= Z_BASE2_LENGTH_OP)) {
Z_MARK_OP;
intnat ret = 0;
for (i = 0; i < sz; i++) {
int digit = 0;
if (d[i] >= '0' && d[i] <= '9') digit = d[i] - '0';
else if (d[i] >= 'a' && d[i] <= 'f') digit = d[i] - 'a' + 10;
else if (d[i] >= 'A' && d[i] <= 'F') digit = d[i] - 'A' + 10;
else caml_invalid_argument("Z.of_substring_base: invalid digit");
if (digit >= base)
caml_invalid_argument("Z.of_substring_base: invalid digit");
ret = ret * base + digit;
}
r = Val_long(ret * (sign ? -1 : 1));
} else
#endif
{
/* converts to sequence of digits */
char* dd = (char*)malloc(sz+1);
strncpy(dd,d,sz);
/* make sure that dd is nul terminated */
dd[sz] = 0;
for (i = 0; i < sz; i++) {
if (dd[i] >= '0' && dd[i] <= '9') dd[i] -= '0';
else if (dd[i] >= 'a' && dd[i] <= 'f') dd[i] -= 'a' - 10;
else if (dd[i] >= 'A' && dd[i] <= 'F') dd[i] -= 'A' - 10;
else caml_invalid_argument("Z.of_substring_base: invalid digit");
if (dd[i] >= base)
caml_invalid_argument("Z.of_substring_base: invalid digit");
}
r = ml_z_alloc(1 + sz / (2 * sizeof(mp_limb_t)));
sz2 = mpn_set_str(Z_LIMB(r), (unsigned char*)dd, sz, base);
r = ml_z_reduce(r, sz2, sign);
free(dd);
}
Z_CHECK(r);
CAMLreturn(r);
}
CAMLprim value ml_z_to_int(value v)
{
intnat x;
Z_DECL(v);
Z_MARK_OP;
Z_CHECK(v);
if (Is_long(v)) return v;
Z_MARK_SLOW;
Z_ARG(v);
if (size_v > 1) ml_z_raise_overflow();
if (!size_v) return Val_long(0);
x = *ptr_v;
if (sign_v) {
if ((uintnat)x > Z_HI_INT) ml_z_raise_overflow();
x = -x;
}
else {
if ((uintnat)x >= Z_HI_INT) ml_z_raise_overflow();
}
return Val_long(x);
}
CAMLprim value ml_z_to_nativeint(value v)
{
intnat x;
Z_DECL(v);
Z_MARK_OP;
Z_CHECK(v);
if (Is_long(v)) return caml_copy_nativeint(Long_val(v));
Z_MARK_SLOW;
Z_ARG(v);
if (size_v > 1) ml_z_raise_overflow();
if (!size_v) x = 0;
else {
x = *ptr_v;
if (sign_v) {
if ((uintnat)x > Z_HI_INTNAT) ml_z_raise_overflow();
x = -x;
}
else {
if ((uintnat)x >= Z_HI_INTNAT) ml_z_raise_overflow();
}
}
return caml_copy_nativeint(x);
}
CAMLprim value ml_z_to_int32(value v)
{
intnat x;
Z_DECL(v);
Z_MARK_OP;
Z_CHECK(v);
if (Is_long(v)) {
x = Long_val(v);
#ifdef ARCH_SIXTYFOUR
if (x >= (intnat)Z_HI_INT32 || x < -(intnat)Z_HI_INT32)
ml_z_raise_overflow();
#endif
return caml_copy_int32(x);
}
else {
Z_ARG(v);
Z_MARK_SLOW;
if (size_v > 1) ml_z_raise_overflow();
if (!size_v) x = 0;
else {
x = *ptr_v;
if (sign_v) {
if ((uintnat)x > Z_HI_INT32) ml_z_raise_overflow();
x = -x;
}
else {
if ((uintnat)x >= Z_HI_INT32) ml_z_raise_overflow();
}
}
return caml_copy_int32(x);
}
}
CAMLprim value ml_z_to_int64(value v)
{
int64_t x = 0;
Z_DECL(v);
Z_MARK_OP;
Z_CHECK(v);
if (Is_long(v)) return caml_copy_int64(Long_val(v));
Z_MARK_SLOW;
Z_ARG(v);
switch (size_v) {
case 0: x = 0; break;
case 1: x = ptr_v[0]; break;
#ifndef ARCH_SIXTYFOUR
case 2: x = ptr_v[0] | ((uint64_t)ptr_v[1] << 32); break;
#endif
default: ml_z_raise_overflow(); break;
}
if (sign_v) {
if ((uint64_t)x > Z_HI_INT64) ml_z_raise_overflow();
x = -x;
}
else {
if ((uint64_t)x >= Z_HI_INT64) ml_z_raise_overflow();
}
return caml_copy_int64(x);
}
/* XXX: characters that do not belong to the format are ignored, this departs
from the classic printf behavior (it copies them in the output)
*/
CAMLprim value ml_z_format(value f, value v)
{
CAMLparam2(f,v);
Z_DECL(v);
const char tab[2][16] =
{ { '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F' },
{ '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'a', 'b', 'c', 'd', 'e', 'f' } };
char* buf, *dst;
mp_size_t i, size_dst, max_size;
value r;
const char* fmt = String_val(f);
int base = 10; /* base */
int cas = 0; /* uppercase X / lowercase x */
int width = 0;
int alt = 0; /* alternate # */
int dir = 0; /* right / left adjusted */
char sign = 0; /* sign char */
char pad = ' '; /* padding char */
char *prefix = "";
Z_MARK_OP;
Z_CHECK(v);
Z_ARG(v);
Z_MARK_SLOW;
/* parse format */
while (*fmt == '%') fmt++;
for (; ; fmt++) {
if (*fmt == '#') alt = 1;
else if (*fmt == '0') pad = '0';
else if (*fmt == '-') dir = 1;
else if (*fmt == ' ' || *fmt == '+') sign = *fmt;
else break;
}
if (sign_v) sign = '-';
for (;*fmt>='0' && *fmt<='9';fmt++)
width = 10*width + *fmt-'0';
switch (*fmt) {
case 'i': case 'd': case 'u': break;
case 'b': base = 2; if (alt) prefix = "0b"; break;
case 'o': base = 8; if (alt) prefix = "0o"; break;
case 'x': base = 16; if (alt) prefix = "0x"; cas = 1; break;
case 'X': base = 16; if (alt) prefix = "0X"; break;
default: caml_invalid_argument("Z.format: invalid format");
}
if (dir) pad = ' ';
/* get digits */
/* we need space for sign + prefix + digits + 1 + padding + terminal 0 */
max_size = 1 + 2 + Z_LIMB_BITS * size_v + 1 + 2 * width + 1;
buf = (char*) malloc(max_size);
dst = buf + 1 + 2 + width;
if (!size_v) {
size_dst = 1;
*dst = '0';
}
else {
mp_limb_t* copy_v = ml_z_dup_limb(ptr_v, size_v);
size_dst = mpn_get_str((unsigned char*)dst, base, copy_v, size_v);
if (dst + size_dst >= buf + max_size)
caml_failwith("Z.format: internal error");
free(copy_v);
while (size_dst && !*dst) { dst++; size_dst--; }
for (i = 0; i < size_dst; i++)
dst[i] = tab[cas][ (int) dst[i] ];
}
/* add prefix, sign & padding */
if (pad == ' ') {
if (dir) {
/* left alignment */
for (i = strlen(prefix); i > 0; i--, size_dst++)
*(--dst) = prefix[i-1];
if (sign) { *(--dst) = sign; size_dst++; }
for (; size_dst < width; size_dst++)
dst[size_dst] = pad;
}
else {
/* right alignment, space padding */
for (i = strlen(prefix); i > 0; i--, size_dst++)
*(--dst) = prefix[i-1];
if (sign) { *(--dst) = sign; size_dst++; }
for (; size_dst < width; size_dst++) *(--dst) = pad;
}
}
else {
/* right alignment, non-space padding */
width -= strlen(prefix) + (sign ? 1 : 0);
for (; size_dst < width; size_dst++) *(--dst) = pad;
for (i = strlen(prefix); i > 0; i--, size_dst++)
*(--dst) = prefix[i-1];
if (sign) { *(--dst) = sign; size_dst++; }
}
dst[size_dst] = 0;
if (dst < buf || dst + size_dst >= buf + max_size)
caml_failwith("Z.format: internal error");
r = caml_copy_string(dst);
free(buf);
CAMLreturn(r);
}
#ifdef ARCH_SIXTYFOUR
#define BITS_PER_WORD 64
#else
#define BITS_PER_WORD 32
#endif
CAMLprim value ml_z_extract(value arg, value off, value len)
{
intnat o, l, x;
mp_size_t sz, c1, c2, csz, i;
mp_limb_t cr;
value r;
Z_DECL(arg);
Z_MARK_OP;
MAYBE_UNUSED x;
o = Long_val(off);
l = Long_val(len);
if (o < 0) caml_invalid_argument("Z.extract: negative bit offset");
if (l <= 0) caml_invalid_argument("Z.extract: nonpositive bit length");
#if Z_USE_NATINT
/* Fast path */
if (Is_long(arg)) {
x = Long_val(arg);
/* Shift away low "o" bits. If "o" too big, just replicate sign bit. */
if (o >= BITS_PER_WORD) o = BITS_PER_WORD - 1;
x = x >> o;
/* Extract "l" low bits, if "l" is small enough */
if (l < BITS_PER_WORD - 1) {
x = x & (((intnat)1 << l) - 1);
return Val_long(x);
} else {
/* If x >= 0, the extraction of "l" low bits keeps x unchanged. */
if (x >= 0) return Val_long(x);
/* If x < 0, fall through slow path */
}
}
#endif
Z_MARK_SLOW;
{
CAMLparam1(arg);
Z_ARG(arg);
sz = (l + Z_LIMB_BITS - 1) / Z_LIMB_BITS;
r = ml_z_alloc(sz + 1);
Z_REFRESH(arg);
c1 = o / Z_LIMB_BITS;
c2 = o % Z_LIMB_BITS;
/* shift or copy */
csz = size_arg - c1;
if (csz > sz + 1) csz = sz + 1;
cr = 0;
if (csz > 0) {
if (c2) cr = mpn_rshift(Z_LIMB(r), ptr_arg + c1, csz, c2);
else ml_z_cpy_limb(Z_LIMB(r), ptr_arg + c1, csz);
}
else csz = 0;
/* 0-pad */
for (i = csz; i < sz; i++)
Z_LIMB(r)[i] = 0;
/* 2's complement */
if (sign_arg) {
for (i = 0; i < sz; i++)
Z_LIMB(r)[i] = ~Z_LIMB(r)[i];
/* carry (cr=0 if all shifted-out bits are 0) */
for (i = 0; !cr && i < c1 && i < size_arg; i++)
cr = ptr_arg[i];
if (!cr) mpn_add_1(Z_LIMB(r), Z_LIMB(r), sz, 1);
}
/* mask out high bits */
l %= Z_LIMB_BITS;
if (l) Z_LIMB(r)[sz-1] &= ((uintnat)(intnat)-1) >> (Z_LIMB_BITS - l);
r = ml_z_reduce(r, sz, 0);
CAMLreturn(r);
}
}
/* NOTE: the sign is not stored */
CAMLprim value ml_z_to_bits(value arg)
{
CAMLparam1(arg);
CAMLlocal1(r);
Z_DECL(arg);
mp_size_t i;
unsigned char* p;
Z_MARK_OP;
Z_MARK_SLOW;
Z_ARG(arg);
r = caml_alloc_string(size_arg * sizeof(mp_limb_t));
Z_REFRESH(arg);
p = (unsigned char*) String_val(r);
memset(p, 0, size_arg * sizeof(mp_limb_t));
for (i = 0; i < size_arg; i++) {
mp_limb_t x = ptr_arg[i];
*(p++) = x;
*(p++) = x >> 8;
*(p++) = x >> 16;
*(p++) = x >> 24;
#ifdef ARCH_SIXTYFOUR
*(p++) = x >> 32;
*(p++) = x >> 40;
*(p++) = x >> 48;
*(p++) = x >> 56;
#endif
}
CAMLreturn(r);
}
CAMLprim value ml_z_of_bits(value arg)
{
CAMLparam1(arg);
CAMLlocal1(r);
mp_size_t sz, szw;
mp_size_t i = 0;
mp_limb_t x;
const unsigned char* p;
Z_MARK_OP;
Z_MARK_SLOW;
sz = caml_string_length(arg);
szw = (sz + sizeof(mp_limb_t) - 1) / sizeof(mp_limb_t);
r = ml_z_alloc(szw);
p = (const unsigned char*) String_val(arg);
/* all limbs but last */
if (szw > 1) {
for (; i < szw - 1; i++) {
x = *(p++);
x |= ((mp_limb_t) *(p++)) << 8;
x |= ((mp_limb_t) *(p++)) << 16;
x |= ((mp_limb_t) *(p++)) << 24;
#ifdef ARCH_SIXTYFOUR
x |= ((mp_limb_t) *(p++)) << 32;
x |= ((mp_limb_t) *(p++)) << 40;
x |= ((mp_limb_t) *(p++)) << 48;
x |= ((mp_limb_t) *(p++)) << 56;
#endif