| version 1.19, 2001/10/30 07:25:58 |
version 1.20, 2001/10/30 10:24:35 |
|
|
| /* $OpenXM: OpenXM_contrib2/asir2000/engine/Hgfs.c,v 1.18 2001/10/09 01:36:10 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/Hgfs.c,v 1.19 2001/10/30 07:25:58 noro Exp $ */ |
| |
|
| #include "ca.h" |
#include "ca.h" |
| |
|
| void lnfsf(int n,UM p0,UM p1,struct p_pair *list,UM np0,UM np1); |
void lnfsf(int n,UM p0,UM p1,struct p_pair *list,UM np0,UM np1); |
| |
void extractcoefbm(BM f,int dx,UM r); |
| |
|
| int comp_dum(DUM a,DUM b) |
int comp_dum(DUM a,DUM b) |
| { |
{ |
| Line 555 void sfhensel(int count,P f,V x,GFS *evp,P *sfp,ML *li |
|
| Line 556 void sfhensel(int count,P f,V x,GFS *evp,P *sfp,ML *li |
|
| } |
} |
| |
|
| /* set bound */ |
/* set bound */ |
| |
/* g | f, lc_y(g) = lc_y(f) => deg_y(g) <= deg_y(f) */ |
| |
/* so, bound = dy is sufficient, but we use slightly large value */ |
| bound = dy+2; |
bound = dy+2; |
| |
|
| /* f(x,y) -> f(x,y+ev) */ |
/* f(x,y) -> f(x,y+ev) */ |
| Line 962 void sfbfctr(P f,V x,V y,DCP *dcp) |
|
| Line 965 void sfbfctr(P f,V x,V y,DCP *dcp) |
|
| void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
| { |
{ |
| int np,dx,dy; |
int np,dx,dy; |
| int i,j,k; |
int i,j,k,bound; |
| int *win; |
int *win; |
| P g,lcg,factor,cofactor,lcyx; |
P g,lcg,factor,cofactor,lcyx; |
| P csum; |
P csum; |
| DCP dcf,dcf0,dc; |
DCP dcf,dcf0,dc; |
| BM *c; |
BM *c; |
| BM lcy; |
BM lcy; |
| UM lcg0; |
UM lcg0,lcy0,w; |
| |
UM *d1c; |
| ML wlist; |
ML wlist; |
| struct oVL vl1,vl0; |
struct oVL vl1,vl0; |
| VL vl; |
VL vl; |
| Line 985 void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
|
| Line 989 void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
|
| win = W_ALLOC(np+1); |
win = W_ALLOC(np+1); |
| wlist = W_MLALLOC(np); |
wlist = W_MLALLOC(np); |
| wlist->n = list->n; |
wlist->n = list->n; |
| wlist->bound = list->bound; |
bound = wlist->bound = list->bound; |
| c = (BM *)COEF(wlist); |
c = (BM *)COEF(wlist); |
| bcopy((char *)COEF(list),(char *)c,(int)(sizeof(BM)*np)); |
bcopy((char *)COEF(list),(char *)c,(int)(sizeof(BM)*np)); |
| |
|
| Line 1009 void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
|
| Line 1013 void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
|
| NEWP(lcyx); VR(lcyx) = x; DC(lcyx) = dc; |
NEWP(lcyx); VR(lcyx) = x; DC(lcyx) = dc; |
| ptosfbm(dy,lcyx,lcy); |
ptosfbm(dy,lcyx,lcy); |
| |
|
| |
/* initialize lcy0 by LC(f) */ |
| |
lcy0 = W_UMALLOC(bound); |
| |
ptosfum(COEF(DC(g)),lcy0); |
| |
|
| |
/* ((d-1 coefs)*lcy0 */ |
| |
d1c = (UM *)W_ALLOC(np*sizeof(UM)); |
| |
w = W_UMALLOC(2*bound); |
| |
for ( i = 1; i < np; i++ ) { |
| |
extractcoefbm(c[i],degbm(c[i])-1,w); |
| |
d1c[i] = W_UMALLOC(2*bound); |
| |
mulsfum(w,lcy0,d1c[i]); |
| |
/* d1c[i] = d1c[i] mod y^(bound+1) */ |
| |
if ( DEG(d1c[i]) > bound ) { |
| |
for ( j = DEG(d1c[i]); j > bound; j-- ) |
| |
COEF(d1c[i])[j] = 0; |
| |
degum(d1c[i],bound); |
| |
} |
| |
} |
| |
|
| fprintf(stderr,"np = %d\n",np); |
fprintf(stderr,"np = %d\n",np); |
| dtok = 0; |
dtok = 0; |
| for ( g = f, k = 1, dcf = dcf0 = 0, win[0] = 1, --np, z = 0; ; z++ ) { |
for ( g = f, k = 1, dcf = dcf0 = 0, win[0] = 1, --np, z = 0; ; z++ ) { |
| if ( !(z % 1000) ) fprintf(stderr,"."); |
if ( !(z % 1000) ) fprintf(stderr,"."); |
| dt = sfdegtest(dy,wlist,k,win); |
dt = sfdegtest(dy,bound,d1c,k,win); |
| if ( dt ) |
if ( dt ) |
| dtok++; |
dtok++; |
| if ( dt && sfdtestmain(vl,lcg,lcg0,lcy,csum,wlist, |
if ( dt && sfdtestmain(vl,lcg,lcg0,lcy,csum,wlist, |
| Line 1054 void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
|
| Line 1077 void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
|
| else |
else |
| for ( i = 1; i < k; i++ ) |
for ( i = 1; i < k; i++ ) |
| win[i] = win[0] + i; |
win[i] = win[0] + i; |
| |
|
| |
|
| |
/* update lcy0 */ |
| |
ptosfum(COEF(DC(g)),lcy0); |
| |
|
| |
/* update d-1 coeffs */ |
| |
for ( i = 1; i <= np; i++ ) { |
| |
extractcoefbm(c[i],degbm(c[i])-1,w); |
| |
mulsfum(w,lcy0,d1c[i]); |
| |
/* d1c[i] = d1c[1] mod y^(bound+1) */ |
| |
if ( DEG(d1c[i]) > bound ) { |
| |
for ( j = DEG(d1c[i]); j > bound; j-- ) |
| |
COEF(d1c[i])[j] = 0; |
| |
degum(d1c[i],bound); |
| |
} |
| |
} |
| } else if ( !ncombi(1,np,k,win) ) |
} else if ( !ncombi(1,np,k,win) ) |
| if ( k == np ) |
if ( k == np ) |
| break; |
break; |
| Line 1066 void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
|
| Line 1105 void sfdtest(P f,ML list,V x,V y,DCP *dcp) |
|
| DEG(dcf) = ONE; NEXT(dcf) = 0; *dcp = dcf0; |
DEG(dcf) = ONE; NEXT(dcf) = 0; *dcp = dcf0; |
| } |
} |
| |
|
| void extractcoefbm(BM f,int d,UM r) |
void extractcoefbm(BM f,int dx,UM r) |
| { |
{ |
| int j; |
int j; |
| UM fj; |
UM fj; |
| |
|
| for ( j = DEG(f); j >= 0; j-- ) { |
for ( j = DEG(f); j >= 0; j-- ) { |
| fj = COEF(f)[j]; |
fj = COEF(f)[j]; |
| if ( fj && DEG(fj) >= d ) { |
if ( fj && DEG(fj) >= dx ) { |
| COEF(r)[j] = COEF(fj)[d]; |
COEF(r)[j] = COEF(fj)[dx]; |
| } else |
} else |
| COEF(r)[j] = 0; |
COEF(r)[j] = 0; |
| } |
} |
| Line 1083 void extractcoefbm(BM f,int d,UM r) |
|
| Line 1122 void extractcoefbm(BM f,int d,UM r) |
|
| |
|
| /* deg_y(prod mod y^(bound+1)) <= dy ? */ |
/* deg_y(prod mod y^(bound+1)) <= dy ? */ |
| |
|
| int sfdegtest(int dy,ML list,int k,int *in) |
int sfdegtest(int dy,int bound,UM *d1c,int k,int *in) |
| { |
{ |
| int bound,dx,dx1,i,j; |
int i,j; |
| UM w,w1,w2,wt; |
UM w,w1,wt; |
| BM t; |
BM t; |
| |
|
| bound = list->bound; |
|
| w = W_UMALLOC(bound); |
w = W_UMALLOC(bound); |
| w1 = W_UMALLOC(bound); |
w1 = W_UMALLOC(bound); |
| w2 = W_UMALLOC(bound); |
|
| clearum(w,bound); |
clearum(w,bound); |
| for ( i = 0; i < k; i++ ) { |
for ( i = 0; i < k; i++ ) { |
| t = (BM)list->c[in[i]]; |
addsfum(w,d1c[in[i]],w1); wt = w; w = w1; w1 = wt; |
| dx = degbm(t); |
|
| dx1 = dx-1; |
|
| /* t = t->c[0] + t->c[1]*y + ... + t->c[j]*y^j + ... */ |
|
| /* extract coef. of x^dx1 and add it to w */ |
|
| extractcoefbm(t,dx1,w1); |
|
| addsfum(w,w1,w2); wt = w; w = w2; w2 = wt; |
|
| } |
} |
| for ( j = bound; j >= dy; j-- ) |
return DEG(w) <= dy ? 1 : 0; |
| if ( COEF(w)[j] ) |
|
| break; |
|
| return j <= dy ? 1 : 0; |
|
| } |
} |
| |
|
| /* lcy = LC(g), lcg = lcy*g, lcg0 = const part of lcg */ |
/* lcy = LC(g), lcg = lcy*g, lcg0 = const part of lcg */ |