pCoeff.cc File Reference

#include "misc/auxiliary.h"
#include "coeffs/coeffs.h"
#include "coeffs/longrat.h"
#include "polys/monomials/p_polys.h"
#include "polys/pCoeff.h"
#include "simpleideals.h"

Go to the source code of this file.

Functions
number	p_CoeffTerm (poly p, poly m, const ring r)
	find coeff of (polynomial) m in polynomial p find coeff of (vector) m in vector p More...
poly	p_CoeffTermV (poly v, poly m, const ring r)
	find vector of coeffs of (polynomial) m in vector v More...
ideal	id_CoeffTerm (ideal I, poly m, const ring r)
	find coeffs of (polynomial) m in all polynomials from I find coeffs of (vector) m in all vectors from I More...
ideal	id_CoeffTermV (ideal M, poly m, const ring r)
	find coeffs of (polynomial) m in all vectors from I More...
poly	p_CoeffTermId (poly v, ideal m, int n, const ring r)
	find coeffs of a vector of a list of given monomials, n>=max_comp(v) More...
poly	p_CoeffTermMo (poly v, ideal m, int n, const ring r)
	find coeffs of a vector of a matrix(module) of given monomials, n>=max_comp(v) More...

Function Documentation

id_CoeffTerm()

ideal id_CoeffTerm	(	ideal	I,
		poly	m,
		const ring	r
	)

find coeffs of (polynomial) m in all polynomials from I find coeffs of (vector) m in all vectors from I

Definition at line 63 of file pCoeff.cc.

{
  ideal res=idInit(IDELEMS(I),I->rank);
  for(int i=IDELEMS(I)-1;i>=0;i--)
  {
    number n=p_CoeffTerm(I->m[i],m,r);
    res->m[i]=p_NSet(n,r);
  }
  return res;
}

id_CoeffTermV()

ideal id_CoeffTermV	(	ideal	M,
		poly	m,
		const ring	r
	)

find coeffs of (polynomial) m in all vectors from I

Definition at line 75 of file pCoeff.cc.

{
  ideal res=idInit(IDELEMS(M),M->rank);
  for(int i=IDELEMS(M)-1;i>=0;i--)
  {
    res->m[i]=p_CoeffTermV(M->m[i],m,r);
  }
  return res;
}

p_CoeffTerm()

number p_CoeffTerm	(	poly	p,
		poly	m,
		const ring	r
	)

find coeff of (polynomial) m in polynomial p find coeff of (vector) m in vector p

Definition at line 22 of file pCoeff.cc.

{
  if (m!=NULL)
  {
    while (p!=NULL)
    {
      if (p_LmCmp(p,m,r)==0)
      {
        return n_Copy(p_GetCoeff(p,r),r->cf);
      }
      pIter(p);
    }
  }
  return n_Init(0,r->cf);
}

p_CoeffTermId()

poly p_CoeffTermId	(	poly	v,
		ideal	m,
		int	n,
		const ring	r
	)

find coeffs of a vector of a list of given monomials, n>=max_comp(v)

Definition at line 86 of file pCoeff.cc.

{
  if ((n<=0)||(v==NULL)) return NULL;
  poly q;
  poly u=NULL;
  int dummy;
  const int ncols_m=IDELEMS(m);
  v=p_Copy(v,r);
  for(int i=1;i<=n;i++)
  {
    p_TakeOutComp(&v,i,&q,&dummy,r);
    for(int j=0;j<ncols_m;j++)
    {
      number n=p_CoeffTerm(q,m->m[j],r);
      poly uu=p_NSet(n,r);
      if (uu!=NULL)
      {
        p_SetComp(uu,(i-1)*ncols_m+j+1,r);
        u=p_Add_q(u,uu,r);
      }
    }
    if (v==NULL) break;
  }
  return u;
}

p_CoeffTermMo()

poly p_CoeffTermMo	(	poly	v,
		ideal	m,
		int	n,
		const ring	r
	)

find coeffs of a vector of a matrix(module) of given monomials, n>=max_comp(v)

find coeffs of a vector of a matrix(as module) of given monomials, n>=max_comp(v)

Definition at line 113 of file pCoeff.cc.

{
  poly res=NULL;
  int to_shift=0;
  poly q;
  int dummy;
  v=p_Copy(v,r);
  for(int i=0;i<IDELEMS(m);i++)
  {
    if (v==NULL) break;
    p_TakeOutComp(&v,i+1,&q,&dummy,r);
    ideal mm=id_Vec2Ideal(m->m[i],r);
    p_SetCompP(q,1,r);
    poly tmp=p_CoeffTermId(q,mm,1,r);
    if (i>0)
    {
      to_shift+=p_MaxComp(m->m[i-1],r);
      p_Shift(&tmp,to_shift,r);
      res=p_Add_q(res,tmp,r);
    }
    else
      res=tmp;
  }
  return res;
}

p_CoeffTermV()

poly p_CoeffTermV	(	poly	v,
		poly	m,
		const ring	r
	)

find vector of coeffs of (polynomial) m in vector v

Definition at line 39 of file pCoeff.cc.

{
  poly res=NULL;
  if (m!=NULL)
  {
    while (v!=NULL)
    {
      p_SetComp(m,p_GetComp(v,r),r);
      if (p_LmCmp(v,m,r)==0)
      {
        p_SetComp(m,0,r);
        poly p=p_Init(r);
        p_SetCoeff0(p,p_GetCoeff(v,r),r);
        p_SetComp(p,p_GetComp(v,r),r);
        res=p_Add_q(res,p,r);
      }
      pIter(v);
    }
  }
  return res;
}