int_poly.h
/* emacs edit mode for this file is -*- C++ -*- */
#ifndef INCL_INT_POLY_H
#define INCL_INT_POLY_H
/**
* @file int_poly.h
*
* Factory's internal polynomials
**/
// #include "config.h"
#ifndef NOSTREAMIO
#ifdef HAVE_IOSTREAM
#include <iostream>
#define OSTREAM std::ostream
#elif defined(HAVE_IOSTREAM_H)
#include <iostream.h>
#define OSTREAM ostream
#endif
#endif /* NOSTREAMIO */
#include "cf_defs.h"
#include "int_cf.h"
#include "variable.h"
#include "canonicalform.h"
#ifdef HAVE_OMALLOC
# include "omalloc/omalloc.h"
#endif
class term {
private:
term * next;
CanonicalForm coeff;
int exp;
#ifdef HAVE_OMALLOC
static const omBin term_bin;
#endif
public:
term() : next(0), coeff(0), exp(0) {}
term( term * n, const CanonicalForm & c, int e ) : next(n), coeff(c), exp(e) {}
friend class InternalPoly;
friend class CFIterator;
#ifdef HAVE_OMALLOC
void* operator new(size_t)
{
void* addr;
omTypeAllocBin(void*, addr, term_bin);
return addr;
}
void operator delete(void* addr, size_t)
{
omFreeBin(addr, term_bin);
}
#endif
};
typedef term * termList;
/**
* factory's class for polynomials
*
* polynomials are represented as a linked list termList, factory
* uses a sparse distributive representation of polynomials, i.e. each poly
* is viewed as a univariate poly in its main variable CanonicalForm::mvar()
* over a (polynomial) ring
**/
class InternalPoly : public InternalCF {
private:
termList firstTerm, lastTerm;
Variable var;
InternalPoly( termList, termList, const Variable & );
static termList copyTermList ( termList, termList&, bool negate = false );
static termList deepCopyTermList ( termList, termList& );
static void freeTermList ( termList );
static void negateTermList ( termList );
static termList addTermList ( termList, termList, termList&, bool negate );
static void mulTermList ( termList, const CanonicalForm& , const int );
static termList divideTermList ( termList, const CanonicalForm&, termList& );
static termList divTermList ( termList, const CanonicalForm&, termList& );
static termList tryDivTermList ( termList, const CanonicalForm&, termList&, const CanonicalForm&, bool& );
static termList modTermList ( termList, const CanonicalForm&, termList& );
static void appendTermList ( termList&, termList&, const CanonicalForm&, const int );
static termList mulAddTermList ( termList theList, termList aList, const CanonicalForm & c, const int exp, termList & lastTerm, bool negate );
static termList reduceTermList ( termList first, termList redterms, termList & last );
public:
InternalPoly();
InternalPoly( const Variable & v, const int e, const CanonicalForm& c );
InternalPoly( const InternalPoly& );
~InternalPoly();
InternalCF* deepCopyObject() const;
const char * classname() const { return "InternalPoly"; }
int level() const { return var.level(); }
Variable variable() const { return var; }
int degree();
CanonicalForm lc();
CanonicalForm Lc();
CanonicalForm LC();
int taildegree();
CanonicalForm tailcoeff();
CanonicalForm coeff( int i );
#ifndef NOSTREAMIO
void print( OSTREAM&, char* );
#endif /* NOSTREAMIO */
bool inBaseDomain() const { return false; }
bool inExtension() const { return var.level() < 0; }
bool inCoeffDomain() const { return var.level() < 0; }
bool inPolyDomain() const { return var.level() > 0; }
bool inQuotDomain() const { return false; }
InternalCF* genZero()
{ return firstTerm->coeff.genZero().getval(); }
InternalCF* genOne()
{ return firstTerm->coeff.genOne().getval(); }
bool isUnivariate() const;
InternalCF* neg();
InternalCF* invert();
InternalCF* tryInvert( const CanonicalForm&, bool& );
int comparesame ( InternalCF* );
InternalCF* addsame( InternalCF* );
InternalCF* subsame( InternalCF* );
InternalCF* mulsame( InternalCF* );
InternalCF* tryMulsame ( InternalCF*, const CanonicalForm&);
InternalCF* dividesame( InternalCF* );
InternalCF* modulosame( InternalCF* );
InternalCF* divsame( InternalCF* );
InternalCF* tryDivsame ( InternalCF*, const CanonicalForm&, bool& );
InternalCF* modsame( InternalCF* );
void divremsame( InternalCF*, InternalCF*&, InternalCF*& );
bool divremsamet( InternalCF*, InternalCF*&, InternalCF*& );
bool tryDivremsamet( InternalCF*, InternalCF*&, InternalCF*&, const CanonicalForm&, bool& );
int comparecoeff ( InternalCF* );
InternalCF* addcoeff( InternalCF* );
InternalCF* subcoeff( InternalCF*, bool );
InternalCF* mulcoeff( InternalCF* );
InternalCF* dividecoeff( InternalCF*, bool );
InternalCF* tryDividecoeff ( InternalCF*, bool, const CanonicalForm&, bool& );
InternalCF* modulocoeff( InternalCF*, bool );
InternalCF* divcoeff( InternalCF*, bool );
InternalCF* tryDivcoeff ( InternalCF*, bool, const CanonicalForm&, bool& );
InternalCF* modcoeff( InternalCF*, bool );
void divremcoeff( InternalCF*, InternalCF*&, InternalCF*&, bool );
bool divremcoefft( InternalCF*, InternalCF*&, InternalCF*&, bool );
bool tryDivremcoefft ( InternalCF*, InternalCF*&, InternalCF*&, bool, const CanonicalForm&, bool& );
int sign() const;
#ifdef HAVE_OMALLOC
static const omBin InternalPoly_bin;
void* operator new(size_t)
{
void* addr;
omTypeAllocBin(void*, addr, InternalPoly_bin);
return addr;
}
void operator delete(void* addr, size_t)
{
omFreeBin(addr, InternalPoly_bin);
}
#endif
friend class CFIterator;
};
#endif /* ! INCL_INT_POLY_H */