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#pragma once
/* #[ 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 <iostream>
#include <string>
#include <vector>
// for debugging
// #define POLY_MOVE_DEBUG
// macros for tform
#ifndef WITHPTHREADS
#define POLY_GETIDENTITY(X)
#define POLY_STOREIDENTITY
#else
#define POLY_GETIDENTITY(X) ALLPRIVATES *B = (X).Bpointer
#define POLY_STOREIDENTITY Bpointer = B
#endif
// maximum size of the hash table used for multiplication and division
const int POLY_MAX_HASH_SIZE = MiN(1<<20, MAXPOSITIVE);
class poly {
public:
// variables
#ifdef WITHPTHREADS
ALLPRIVATES *Bpointer;
#endif
WORD *terms;
LONG size_of_terms;
WORD modp,modn;
// constructors/destructor
poly (PHEAD int, WORD=-1, WORD=1);
poly (PHEAD const UWORD *, WORD, WORD=-1, WORD=1);
poly (const poly &, WORD=-1, WORD=1);
~poly ();
// operators
poly& operator+= (const poly&);
poly& operator-= (const poly&);
poly& operator*= (const poly&);
poly& operator/= (const poly&);
poly& operator%= (const poly&);
const poly operator+ (const poly&) const;
const poly operator- (const poly&) const;
const poly operator* (const poly&) const;
const poly operator/ (const poly&) const;
const poly operator% (const poly&) const;
bool operator== (const poly&) const;
bool operator!= (const poly&) const;
poly& operator= (const poly &);
WORD& operator[] (int);
const WORD& operator[] (int) const;
#if __cplusplus >= 201103L
// support move semantics
poly (poly &&, WORD=-1, WORD=1) noexcept;
poly& operator= (poly &&) noexcept;
#endif
// memory management
void termscopy (const WORD *, int, int);
void check_memory(int);
void expand_memory(int);
// check type of polynomial
bool is_zero () const;
bool is_one () const;
bool is_integer () const;
bool is_monomial () const;
int is_dense_univariate () const;
// properties
int sign () const;
int degree (int) const;
int total_degree () const;
int first_variable () const;
int number_of_terms () const;
const std::vector<int> all_variables () const;
const poly integer_lcoeff () const;
const poly lcoeff_univar (int) const;
const poly lcoeff_multivar (int) const;
const poly coefficient (int, int) const;
const poly derivative (int) const;
// modulo calculus
void setmod(WORD, WORD=1);
void coefficients_modulo (UWORD *, WORD, bool);
// simple polynomials
static const poly simple_poly (PHEAD int, int=0, int=1, int=0, int=1);
static const poly simple_poly (PHEAD int, const poly&, int=1, int=0, int=1);
// conversion from/to form notation
static void get_variables (PHEAD const std::vector<WORD *> &, bool, bool);
static const poly argument_to_poly (PHEAD WORD *, bool, bool, poly *den=NULL);
static void poly_to_argument (const poly &, WORD *, bool);
static void poly_to_argument_with_den (const poly &, WORD, const UWORD *, WORD *, bool);
int size_of_form_notation () const;
int size_of_form_notation_with_den (WORD) const;
const poly & normalize ();
// operations for coefficient lists
static const poly from_coefficient_list (PHEAD const std::vector<WORD> &, int, WORD);
static const std::vector<WORD> to_coefficient_list (const poly &);
static const std::vector<WORD> coefficient_list_divmod (const std::vector<WORD> &, const std::vector<WORD> &, WORD, int);
// string output for debugging
const std::string to_string() const;
// monomials
static int monomial_compare (PHEAD const WORD *, const WORD *);
WORD last_monomial_index () const;
WORD* last_monomial () const;
int compare_degree_vector(const poly &) const;
std::vector<int> degree_vector() const;
int compare_degree_vector(const std::vector<int> &) const;
// (internal) mathematical operations
static void add (const poly &, const poly &, poly &);
static void sub (const poly &, const poly &, poly &);
static void mul (const poly &, const poly &, poly &);
static void div (const poly &, const poly &, poly &);
static void mod (const poly &, const poly &, poly &);
static void divmod (const poly &, const poly &, poly &, poly &, bool only_divides);
static bool divides (const poly &, const poly &);
static void mul_one_term (const poly &, const poly &, poly &);
static void mul_univar (const poly &, const poly &, poly &, int);
static void mul_heap (const poly &, const poly &, poly &);
static void divmod_one_term (const poly &, const poly &, poly &, poly &, bool);
static void divmod_univar (const poly &, const poly &, poly &, poly &, int, bool);
static void divmod_heap (const poly &, const poly &, poly &, poly &, bool, bool, bool&);
static void push_heap (PHEAD WORD **, int);
static void pop_heap (PHEAD WORD **, int);
};
// comparison class for monomials (for std::sort)
class monomial_larger {
public:
#ifndef WITHPTHREADS
monomial_larger() {}
#else
ALLPRIVATES *B;
monomial_larger(ALLPRIVATES *b): B(b) {}
#endif
bool operator()(const WORD *a, const WORD *b) {
return poly::monomial_compare(BHEAD a, b) > 0;
}
};
// stream operator
std::ostream& operator<< (std::ostream &, const poly &);
// inline function definitions
#if __cplusplus >= 201103L
inline poly::poly (poly &&a, WORD modp, WORD modn) noexcept {
#ifdef POLY_MOVE_DEBUG
std::cout << "poly move ctor" << std::endl;
#endif
POLY_GETIDENTITY(a);
POLY_STOREIDENTITY;
terms = a.terms;
size_of_terms = a.size_of_terms;
this->modp = a.modp;
this->modn = a.modn;
if (modp != -1) {
setmod(modp,modn);
}
a.terms = nullptr;
a.size_of_terms = -1;
}
inline poly& poly::operator= (poly &&a) noexcept {
#ifdef POLY_MOVE_DEBUG
std::cout << "poly move assign" << std::endl;
#endif
if (this != &a) {
WORD *old_terms = terms;
LONG old_size_of_terms = size_of_terms;
terms = a.terms;
size_of_terms = a.size_of_terms;
modp = a.modp;
modn = a.modn;
a.terms = old_terms;
a.size_of_terms = old_size_of_terms;
}
return *this;
}
#endif
/* Checks whether the terms array is large enough to add another
* term (of size AM.MaxTal) to the polynomials. In case not, it is
* expanded.
*/
inline void poly::check_memory (int i) {
POLY_GETIDENTITY(*this);
if (i + 3 + AN.poly_num_vars + AM.MaxTal >= size_of_terms) expand_memory(i + AM.MaxTal);
// Used to be i+2 but there should also be space for a trailing zero
}
// indexing operators
inline WORD& poly::operator[] (int i) {
return terms[i];
}
inline const WORD& poly::operator[] (int i) const {
return terms[i];
}
/* Copies "num" WORD-sized terms from the pointer "source" to the
* current polynomial at index "dest"
*/
inline void poly::termscopy (const WORD *source, int dest, int num) {
#ifdef POLY_MOVE_DEBUG
std::cout << "poly termscopy: num=" << num << std::endl;
#endif
memcpy (terms+dest, source, num*sizeof(WORD));
}
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