version 1.12, 2003/08/24 05:19:42 |
version 1.14, 2004/07/29 08:13:42 |
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/* $OpenXM: OpenXM/src/kan96xx/Kan/poly4.c,v 1.11 2003/08/23 02:28:38 takayama Exp $ */ |
/* $OpenXM: OpenXM/src/kan96xx/Kan/poly4.c,v 1.13 2004/06/12 07:29:46 takayama Exp $ */ |
#include <stdio.h> |
#include <stdio.h> |
#include "datatype.h" |
#include "datatype.h" |
#include "stackm.h" |
#include "stackm.h" |
Line 9 static void shell(int v[],int n); |
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Line 9 static void shell(int v[],int n); |
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static int degreeOfPrincipalPart(POLY f); |
static int degreeOfPrincipalPart(POLY f); |
static int degreeOfInitW(POLY f,int w[]); |
static int degreeOfInitW(POLY f,int w[]); |
static int degreeOfInitWS(POLY f,int w[],int s[]); |
static int degreeOfInitWS(POLY f,int w[],int s[]); |
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static int dDegree(POLY f); |
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static POLY dHomogenize(POLY f); |
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static void shell(v,n) |
static void shell(v,n) |
int v[]; |
int v[]; |
int n; |
int n; |
Line 306 POLY homogenize(f) |
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Line 307 POLY homogenize(f) |
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POLY t; |
POLY t; |
int maxg; |
int maxg; |
int flag,d; |
int flag,d; |
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extern int Homogenize; |
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if (f == ZERO) return(f); |
if (f == ZERO) return(f); |
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if (Homogenize == 3) { /* double homogenization Dx x = x Dx + h H */ |
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return dHomogenize(f); |
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} |
t = f; maxg = (*grade)(f); flag = 0; |
t = f; maxg = (*grade)(f); flag = 0; |
while (t != POLYNULL) { |
while (t != POLYNULL) { |
d = (*grade)(t); |
d = (*grade)(t); |
Line 375 int isHomogenized_vec(f) |
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Line 380 int isHomogenized_vec(f) |
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return(1); |
return(1); |
} |
} |
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static POLY dHomogenize(f) |
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POLY f; |
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{ |
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POLY t; |
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int maxg, maxdg; |
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int flag,d,dd,neg; |
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if (f == ZERO) return(f); |
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t = f; |
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maxg = (*grade)(f); |
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while (t != POLYNULL) { |
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dd = (*grade)(t); |
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if (maxg < dd) maxg = dd; |
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t = t->next; |
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} |
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/* fprintf(stderr,"maxg=%d\n",maxg); */ |
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t = f; |
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maxdg = dDegree(f); |
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while (t != POLYNULL) { |
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dd = dDegree(t); |
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if (maxdg < dd) maxdg = dd; |
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t = t->next; |
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} |
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/* fprintf(stderr,"maxdg=%d\n",maxdg); */ |
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t = f; |
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flag = 0; |
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while (t != POLYNULL) { |
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d = (*grade)(t); |
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if (d != maxg) flag = 1; |
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if (d > maxg) { |
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maxg = d; |
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} |
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d = dDegree(f); |
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if (d > maxdg) { |
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maxdg = d; |
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} |
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t = t->next; |
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} |
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if (flag == 0) return(f); |
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t = f; neg = 0; |
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while (t != POLYNULL) { |
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d = (*grade)(t); |
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dd = dDegree(t); |
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if (maxg-d-(maxdg-dd) < neg) { |
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neg = maxg-d-(maxdg-dd); |
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} |
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t = t->next; |
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} |
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neg = -neg; |
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f = pmCopy(f); /* You can rewrite the monomial parts */ |
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t = f; |
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while (t != POLYNULL) { |
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d = (*grade)(t); |
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dd = dDegree(t); |
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t->m->e[0].D += maxdg-dd; /* h */ |
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t->m->e[0].x += maxg-d-(maxdg-dd)+neg; /* Multiply H */ |
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/* example Dx^2+Dx+x */ |
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t = t->next; |
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} |
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return(f); |
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} |
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static int degreeOfPrincipalPart(f) |
static int degreeOfPrincipalPart(f) |
POLY f; |
POLY f; |
{ |
{ |
Line 384 static int degreeOfPrincipalPart(f) |
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Line 455 static int degreeOfPrincipalPart(f) |
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n = f->m->ringp->n; dd = 0; |
n = f->m->ringp->n; dd = 0; |
/* D[0] is homogenization var */ |
/* D[0] is homogenization var */ |
for (i=1; i<n; i++) { |
for (i=1; i<n; i++) { |
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dd += f->m->e[i].D; |
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} |
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return(dd); |
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} |
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static int dDegree(f) |
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POLY f; |
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{ |
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int nn,i,dd,m; |
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if (f ISZERO) return(0); |
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nn = f->m->ringp->nn; dd = 0; |
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m = f->m->ringp->m; |
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for (i=m; i<nn; i++) { |
dd += f->m->e[i].D; |
dd += f->m->e[i].D; |
} |
} |
return(dd); |
return(dd); |