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/** @file flintwrap.cc
*
* Contains functions to call FLINT interface from the rest of FORM.
*/
/* #[ License : */
/*
* Copyright (C) 1984-2026 J.A.M. Vermaseren
* When using this file you are requested to refer to the publication
* J.A.M.Vermaseren "New features of FORM" math-ph/0010025
* This is considered a matter of courtesy as the development was paid
* for by FOM the Dutch physics granting agency and we would like to
* be able to track its scientific use to convince FOM of its value
* for the community.
*
* This file is part of FORM.
*
* FORM is free software: you can redistribute it and/or modify it under the
* terms of the GNU General Public License as published by the Free Software
* Foundation, either version 3 of the License, or (at your option) any later
* version.
*
* FORM 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 General Public License for more
* details.
*
* You should have received a copy of the GNU General Public License along
* with FORM. If not, see <http://www.gnu.org/licenses/>.
*/
/* #] License : */
extern "C" {
#include "form3.h"
}
#include <sstream>
#include "flintinterface.h"
/*
#[ flint_final_cleanup_thread :
*/
void flint_final_cleanup_thread(void) {
flint::cleanup();
}
/*
#] flint_final_cleanup_thread :
#[ flint_final_cleanup_master :
*/
void flint_final_cleanup_master(void) {
flint::cleanup_master();
}
/*
#] flint_final_cleanup_master :
#[ flint_div :
*/
WORD* flint_div(PHEAD WORD *a, WORD *b, const WORD must_fit_term) {
// Extract expressions
vector<WORD *> e;
e.reserve(2);
e.push_back(a);
e.push_back(b);
const bool with_arghead = false;
const bool sort_vars = false;
const flint::var_map_t var_map = flint::get_variables(e, with_arghead, sort_vars);
const bool return_rem = false;
if ( var_map.size() > 1 ) {
return flint::divmod_mpoly(BHEAD a, b, return_rem, must_fit_term, var_map);
}
else {
return flint::divmod_poly(BHEAD a, b, return_rem, must_fit_term, var_map);
}
}
/*
#] flint_div :
#[ flint_factorize_argument :
*/
int flint_factorize_argument(PHEAD WORD *argin, WORD *argout) {
const bool with_arghead = true;
const bool sort_vars = true;
const flint::var_map_t var_map = flint::get_variables(vector<WORD*>(1,argin), with_arghead,
sort_vars);
const bool is_fun_arg = true;
if ( var_map.size() > 1 ) {
flint::factorize_mpoly(BHEAD argin, argout, with_arghead, is_fun_arg, var_map);
}
else {
flint::factorize_poly(BHEAD argin, argout, with_arghead, is_fun_arg, var_map);
}
return 0;
}
/*
#] flint_factorize_argument :
#[ flint_factorize_dollar :
*/
WORD* flint_factorize_dollar(PHEAD WORD *argin) {
const bool with_arghead = false;
const bool sort_vars = true;
const flint::var_map_t var_map = flint::get_variables(vector<WORD*>(1,argin), with_arghead,
sort_vars);
const bool is_fun_arg = false;
if ( var_map.size() > 1 ) {
return flint::factorize_mpoly(BHEAD argin, NULL, with_arghead, is_fun_arg, var_map);
}
else {
return flint::factorize_poly(BHEAD argin, NULL, with_arghead, is_fun_arg, var_map);
}
}
/*
#] flint_factorize_dollar :
#[ flint_gcd :
*/
WORD* flint_gcd(PHEAD WORD *a, WORD *b, const WORD must_fit_term) {
// Extract expressions
vector<WORD *> e;
e.reserve(2);
e.push_back(a);
e.push_back(b);
const bool with_arghead = false;
const bool sort_vars = true;
const flint::var_map_t var_map = flint::get_variables(e, with_arghead, sort_vars);
if ( var_map.size() > 1 ) {
return flint::gcd_mpoly(BHEAD a, b, must_fit_term, var_map);
}
else {
return flint::gcd_poly(BHEAD a, b, must_fit_term, var_map);
}
}
/*
#] flint_gcd :
#[ flint_inverse :
*/
WORD* flint_inverse(PHEAD WORD *a, WORD *b) {
// Extract expressions
vector<WORD *> e;
e.reserve(2);
e.push_back(a);
e.push_back(b);
const flint::var_map_t var_map = flint::get_variables(e, false, false);
if ( var_map.size() > 1 ) {
MLOCK(ErrorMessageLock);
MesPrint("flint_inverse: error: only univariate polynomials are supported.");
MUNLOCK(ErrorMessageLock);
Terminate(-1);
}
return flint::inverse_poly(BHEAD a, b, var_map);
}
/*
#] flint_inverse :
#[ flint_mul :
*/
WORD* flint_mul(PHEAD WORD *a, WORD *b) {
// Extract expressions
vector<WORD *> e;
e.reserve(2);
e.push_back(a);
e.push_back(b);
const flint::var_map_t var_map = flint::get_variables(e, false, false);
if ( var_map.size() > 1 ) {
return flint::mul_mpoly(BHEAD a, b, var_map);
}
else {
return flint::mul_poly(BHEAD a, b, var_map);
}
}
/*
#] flint_mul :
#[ flint_ratfun_add :
*/
WORD* flint_ratfun_add(PHEAD WORD *t1, WORD *t2) {
if ( AR.PolyFunExp == 1 ) {
MLOCK(ErrorMessageLock);
MesPrint("flint_ratfun_add: PolyFunExp unimplemented.");
MUNLOCK(ErrorMessageLock);
Terminate(-1);
}
WORD *oldworkpointer = AT.WorkPointer;
// Extract expressions: the num and den of both prf
vector<WORD *> e;
e.reserve(4);
for (WORD *t=t1+FUNHEAD; t<t1+t1[1];) {
e.push_back(t);
NEXTARG(t);
}
for (WORD *t=t2+FUNHEAD; t<t2+t2[1];) {
e.push_back(t);
NEXTARG(t);
}
const bool with_arghead = true;
const bool sort_vars = true;
const flint::var_map_t var_map = flint::get_variables(e, with_arghead, sort_vars);
if ( var_map.size() > 1 ) {
flint::ratfun_add_mpoly(BHEAD t1, t2, oldworkpointer, var_map);
}
else {
flint::ratfun_add_poly(BHEAD t1, t2, oldworkpointer, var_map);
}
return oldworkpointer;
}
/*
#] flint_ratfun_add :
#[ flint_ratfun_normalize :
*/
int flint_ratfun_normalize(PHEAD WORD *term) {
// The length of the coefficient
const WORD ncoeff = (term + *term)[-1];
// The end of the term data, before the coefficient:
const WORD *tstop = term + *term - ABS(ncoeff);
// Search the term for multiple PolyFun or one dirty one.
unsigned num_polyratfun = 0;
for (WORD *t = term+1; t < tstop; t += t[1]) {
if (*t == AR.PolyFun) {
// Found one!
num_polyratfun++;
if ((t[2] & MUSTCLEANPRF) != 0) {
// Dirty, increment again to force normalisation for single PolyFun
num_polyratfun++;
}
if (num_polyratfun > 1) {
// We're not counting all occurrences, just determinining if there
// is something to be done.
break;
}
}
}
if (num_polyratfun <= 1) {
// There is nothing to do, return early
return 0;
}
// When there are polyratfun with only one argument: rename them temporarily to TMPPOLYFUN.
for (WORD *t = term+1; t < tstop; t += t[1]) {
if (*t == AR.PolyFun && (t[1] == FUNHEAD+t[FUNHEAD] || t[1] == FUNHEAD+2 ) ) {
*t = TMPPOLYFUN;
}
}
// Extract all variables in the polyfuns
// Collect pointers to each relevant argument
vector<WORD *> e;
e.reserve(4); // There could be more than 4 args in principle, but 4 is probably common.
for (WORD *t=term+1; t<tstop; t+=t[1]) {
if (*t == AR.PolyFun) {
for (WORD *t2 = t+FUNHEAD; t2<t+t[1];) {
e.push_back(t2);
NEXTARG(t2);
}
}
}
const bool with_arghead = true;
const bool sort_vars = true;
const flint::var_map_t var_map = flint::get_variables(e, with_arghead, sort_vars);
if ( var_map.size() > 1 ) {
flint::ratfun_normalize_mpoly(BHEAD term, var_map);
}
else {
flint::ratfun_normalize_poly(BHEAD term, var_map);
}
// Undo renaming of single-argument PolyFun
const WORD *new_tstop = term + *term - ABS((term + *term)[-1]);
for (WORD *t=term+1; t<new_tstop; t+=t[1]) {
if (*t == TMPPOLYFUN ) *t = AR.PolyFun;
}
return 0;
}
/*
#] flint_ratfun_normalize :
#[ flint_rem :
*/
WORD* flint_rem(PHEAD WORD *a, WORD *b, const WORD must_fit_term) {
// Extract expressions
vector<WORD *> e;
e.reserve(2);
e.push_back(a);
e.push_back(b);
const bool with_arghead = false;
const bool sort_vars = false;
const flint::var_map_t var_map = flint::get_variables(e, with_arghead, sort_vars);
const bool return_rem = true;
if ( var_map.size() > 1 ) {
return flint::divmod_mpoly(BHEAD a, b, return_rem, must_fit_term, var_map);
}
else {
return flint::divmod_poly(BHEAD a, b, return_rem, must_fit_term, var_map);
}
}
/*
#] flint_rem :
#[ flint_check_version :
*/
/**
* Checks the FLINT library version at runtime.
*
* This function should be called at startup.
* The program will terminate if a known buggy version of FLINT is detected.
*/
void flint_check_version(void) {
bool ok = true;
std::stringstream ss(flint_version);
int major, minor, patch;
char dot1, dot2;
if ( ss >> major >> dot1 >> minor >> dot2 >> patch ) {
if ( dot1 != '.' || dot2 != '.' || major < 0 || minor < 0 || patch < 0 ) {
ok = false;
}
else if ( major * 10000 + minor * 100 + patch < 30200 ) {
// flint < 3.2.0: https://github.com/form-dev/form/issues/679
ok = false;
}
}
else {
ok = false;
}
if ( !ok ) {
MesPrint("Bad FLINT version detected at runtime: %s",flint_version);
Terminate(-2);
}
}
/*
#] flint_check_version :
*/
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