version 1.8, 2001/06/25 10:01:27 |
version 1.15, 2002/03/15 02:52:09 |
|
|
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/gf.c,v 1.7 2001/06/25 04:11:41 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/gf.c,v 1.14 2001/10/09 01:36:06 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
Line 56 struct resf_dlist { |
|
Line 56 struct resf_dlist { |
|
|
|
int resf_degtest(int,int *,int,struct resf_dlist *); |
int resf_degtest(int,int *,int,struct resf_dlist *); |
void uhensel(P,NODE,int,int,NODE *); |
void uhensel(P,NODE,int,int,NODE *); |
|
void uhensel_incremental(P,NODE,int,int,int,NODE *); |
void resf_hensel(int,P,int,P *,ML *); |
void resf_hensel(int,P,int,P *,ML *); |
void resf_dtest(P,ML,int,int *,int *,DCP *); |
void resf_dtest(P,ML,int,int *,int *,DCP *); |
void resf_dtest_special(P,ML,int,int *,int *,DCP *); |
void resf_dtest_special(P,ML,int,int *,int *,DCP *); |
Line 67 void nullspace_lm(LM **,int,int *); |
|
Line 68 void nullspace_lm(LM **,int,int *); |
|
void nullspace_gf2n(GF2N **,int,int *); |
void nullspace_gf2n(GF2N **,int,int *); |
void nullspace_gfpn(GFPN **,int,int *); |
void nullspace_gfpn(GFPN **,int,int *); |
void nullspace_gfs(GFS **,int,int *); |
void nullspace_gfs(GFS **,int,int *); |
|
void nullspace_gfsn(GFSN **,int,int *); |
void null_to_sol(int **,int *,int,int,UM *); |
void null_to_sol(int **,int *,int,int,UM *); |
|
|
void showgfmat(UM **,int); |
void showgfmat(UM **,int); |
Line 74 void pwr_mod(P,P,V,P,int,N,P *); |
|
Line 76 void pwr_mod(P,P,V,P,int,N,P *); |
|
void rem_mod(P,P,V,P,int,P *); |
void rem_mod(P,P,V,P,int,P *); |
|
|
void Pnullspace(),Pgcda_mod(),Pftest(),Presfmain(),Ppwr_mod(),Puhensel(); |
void Pnullspace(),Pgcda_mod(),Pftest(),Presfmain(),Ppwr_mod(),Puhensel(); |
|
void Puhensel_incremental(); |
void Psfuhensel(); |
void Psfuhensel(); |
|
|
void Pnullspace_ff(); |
void Pnullspace_ff(); |
Line 84 void Plinear_form_to_vect(),Pvect_to_linear_form(); |
|
Line 87 void Plinear_form_to_vect(),Pvect_to_linear_form(); |
|
void solve_linear_equation_gf2n(GF2N **,int,int,int *); |
void solve_linear_equation_gf2n(GF2N **,int,int,int *); |
void linear_form_to_array(P,VL,int,Num *); |
void linear_form_to_array(P,VL,int,Num *); |
void array_to_linear_form(Num *,VL,int,P *); |
void array_to_linear_form(Num *,VL,int,P *); |
void sfuhensel(P,V,V,GFS *,NODE *); |
void sfuhensel(P,NODE,GFS,int,NODE *); |
|
|
extern int current_ff; |
extern int current_ff; |
|
|
Line 97 struct ftab gf_tab[] = { |
|
Line 100 struct ftab gf_tab[] = { |
|
{"resfmain",Presfmain,4}, |
{"resfmain",Presfmain,4}, |
{"pwr_mod",Ppwr_mod,6}, |
{"pwr_mod",Ppwr_mod,6}, |
{"uhensel",Puhensel,4}, |
{"uhensel",Puhensel,4}, |
{"sfuhensel",Psfuhensel,3}, |
{"uhensel_incremental",Puhensel_incremental,5}, |
|
{"sfuhensel",Psfuhensel,4}, |
{0,0,0}, |
{0,0,0}, |
}; |
}; |
|
|
|
|
MKLIST(*rp,r); |
MKLIST(*rp,r); |
} |
} |
|
|
|
void Puhensel_incremental(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
P f; |
|
NODE mfl,r; |
|
int mod,bound,start; |
|
|
|
f = (P)ARG0(arg); |
|
mfl = BDY((LIST)ARG1(arg)); |
|
mod = QTOS((Q)ARG2(arg)); |
|
start = QTOS((Q)ARG3(arg)); |
|
bound = QTOS((Q)ARG4(arg)); |
|
uhensel_incremental(f,mfl,mod,start,bound,&r); |
|
MKLIST(*rp,r); |
|
} |
|
|
void uhensel(f,mfl,mod,bound,rp) |
void uhensel(f,mfl,mod,bound,rp) |
P f; |
P f; |
NODE mfl; |
NODE mfl; |
|
|
*rp = top; |
*rp = top; |
} |
} |
|
|
|
void uhensel_incremental(f,mfl,mod,start,bound,rp) |
|
P f; |
|
NODE mfl; |
|
int mod,start,bound; |
|
NODE *rp; |
|
{ |
|
ML blist,clist,rlist; |
|
LUM fl; |
|
LUM *lblist; |
|
int nf,i,j,k; |
|
int **p; |
|
P s; |
|
V v; |
|
NODE t,top; |
|
|
|
nf = length(mfl); |
|
blist = MLALLOC(nf); blist->n = nf; blist->mod = mod; |
|
lblist = (LUM *)MALLOC(nf*sizeof(LUM)); |
|
for ( i = 0, t = mfl; i < nf; i++, t = NEXT(t) ) { |
|
blist->c[i] = (pointer)UMALLOC(UDEG((P)BDY(t))); |
|
ptoum(mod,(P)BDY(t),blist->c[i]); |
|
W_LUMALLOC((int)UDEG((P)BDY(t)),bound,lblist[i]); |
|
ptolum(mod,start,(P)BDY(t),lblist[i]); |
|
p = lblist[i]->c; |
|
for ( j = DEG(lblist[i]); j >= 0; j-- ) |
|
for ( k = start; k < bound; k++ ) |
|
p[j][k] = 0; |
|
} |
|
gcdgen(f,blist,&clist); |
|
clist->bound = bound; |
|
W_LUMALLOC((int)UDEG(f),bound,fl); |
|
ptolum(mod,bound,f,fl); |
|
henmain_incremental(fl,lblist,clist,nf,mod,start,bound); |
|
v = VR(f); |
|
for ( i = nf-1, top = 0; i >= 0; i-- ) { |
|
lumtop_unsigned(v,mod,bound,lblist[i],&s); |
|
MKNODE(t,s,top); top = t; |
|
} |
|
*rp = top; |
|
} |
|
|
void Psfuhensel(arg,rp) |
void Psfuhensel(arg,rp) |
NODE arg; |
NODE arg; |
LIST *rp; |
LIST *rp; |
{ |
{ |
P f; |
P f; |
V x,y; |
int bound; |
NODE n,r; |
NODE r,mfl; |
GFS ev; |
GFS ev; |
|
|
f = (P)ARG0(arg); |
f = (P)ARG0(arg); |
x = VR((P)ARG1(arg)); |
mfl = BDY((LIST)ARG1(arg)); |
y = VR((P)ARG2(arg)); |
ev = (GFS)ARG2(arg); |
sfuhensel(f,x,y,&ev,&r); |
bound = QTOS((Q)ARG3(arg)); |
MKNODE(n,ev,r); |
sfuhensel(f,mfl,ev,bound,&r); |
MKLIST(*rp,n); |
MKLIST(*rp,r); |
} |
} |
|
|
void sfuhensel(f,x,y,evp,rp) |
void sfuhensel(f,mfl,ev,bound,rp) |
P f; |
P f; |
V x,y; |
NODE mfl; |
GFS *evp; |
GFS ev; |
|
int bound; |
NODE *rp; |
NODE *rp; |
{ |
{ |
ML lift; |
BM fl; |
int i; |
BM *r; |
P s,u,sf; |
VL vl,nvl; |
|
int i,fn,dx,dy,d; |
NODE t,top; |
NODE t,top; |
struct oVL vl1,vl; |
UM fm,hm,q; |
|
UM *gm; |
|
V x,y; |
|
P g,s,u; |
|
|
sfhensel(5,f,x,evp,&sf,&lift); |
clctv(CO,f,&vl); |
|
if ( !vl || !vl->next || vl->next->next ) |
|
error("sfuhensel : f must be a bivariate poly"); |
|
|
vl1.v = y; vl1.next = 0; |
for ( i = 0, t = mfl; t; i++, t = NEXT(t) ); |
vl.v = x; vl.next = &vl1; |
fn = i; |
|
|
for ( i = lift->n-1, top = 0; i >= 0; i-- ) { |
gm = (UM *)MALLOC(fn*sizeof(UM)); |
sfbmtop(lift->bound,lift->c[i],x,y,&s); |
|
reorderp(CO,&vl,s,&u); |
/* XXX : more severe check is necessary */ |
|
x = VR((P)BDY(mfl)); |
|
y = vl->v == x ? vl->next->v : vl->v; |
|
|
|
for ( i = 0, t = mfl, d = 0; i < fn; i++, t = NEXT(t) ) { |
|
gm[i] = (pointer)UMALLOC(getdeg(x,(P)BDY(t))); |
|
ptosfum((P)BDY(t),gm[i]); |
|
d += DEG(gm[i]); |
|
} |
|
|
|
/* reorder f if necessary */ |
|
if ( vl->v != x ) { |
|
reordvar(vl,x,&nvl); reorderp(nvl,vl,f,&g); |
|
vl = nvl; f = g; |
|
} |
|
dx = getdeg(x,f); |
|
if ( dx != d ) |
|
error("sfuhensel : product of factors has incompatible degree"); |
|
|
|
dy = getdeg(y,f); |
|
dy = MAX(dy,bound); |
|
fl = BMALLOC(dx,dy); |
|
ptosfbm(dy,f,fl); |
|
if ( ev ) shiftsfbm(fl,FTOIF(CONT(ev))); |
|
|
|
/* fm = fl mod y */ |
|
fm = W_UMALLOC(dx); |
|
cpyum(COEF(fl)[0],fm); |
|
hm = W_UMALLOC(dx); |
|
|
|
q = W_UMALLOC(dx); |
|
r = (BM *)MLALLOC(fn*sizeof(BM)); |
|
for ( i = 0; i < fn-1; i++ ) { |
|
/* fl = gm[i]*hm mod y */ |
|
divsfum(fm,gm[i],hm); |
|
/* fl is replaced by the cofactor of gk mod y^bound */ |
|
/* r[i] = gk */ |
|
sfhenmain2(fl,gm[i],hm,bound,r+i); |
|
cpyum(hm,fm); |
|
} |
|
/* finally, fl must be the lift of gm[fn-1] */ |
|
r[i] = fl; |
|
|
|
for ( i = fn-1, top = 0; i >= 0; i-- ) { |
|
sfbmtop(r[i],x,y,&s); |
|
reorderp(CO,vl,s,&u); |
MKNODE(t,u,top); top = t; |
MKNODE(t,u,top); top = t; |
} |
} |
*rp = top; |
*rp = top; |
|
|
LIST *rp; |
LIST *rp; |
{ |
{ |
int i,j,n; |
int i,j,n; |
Q mod; |
|
MAT mat,r; |
MAT mat,r; |
VECT u; |
VECT u; |
Q q; |
Q q; |
|
|
nullspace_gfpn((GFPN **)w,n,ind); break; |
nullspace_gfpn((GFPN **)w,n,ind); break; |
case FF_GFS: |
case FF_GFS: |
nullspace_gfs((GFS **)w,n,ind); break; |
nullspace_gfs((GFS **)w,n,ind); break; |
|
case FF_GFSN: |
|
nullspace_gfsn((GFSN **)w,n,ind); break; |
default: |
default: |
error("nullspace_ff : current_ff is not set"); |
error("nullspace_ff : current_ff is not set"); |
} |
} |
|
|
chsgngfs(u[j],&h); |
chsgngfs(u[j],&h); |
for ( s = j; s < n; s++ ) { |
for ( s = j; s < n; s++ ) { |
mulgfs(h,t[s],&w); addgfs(w,u[s],&w1); u[s] = w1; |
mulgfs(h,t[s],&w); addgfs(w,u[s],&w1); u[s] = w1; |
|
} |
|
} |
|
} |
|
} |
|
|
|
void nullspace_gfsn(mat,n,ind) |
|
GFSN **mat; |
|
int n; |
|
int *ind; |
|
{ |
|
int i,j,l,s; |
|
GFSN w,w1,h,inv; |
|
GFSN *t,*u; |
|
|
|
bzero(ind,n*sizeof(int)); |
|
ind[0] = 0; |
|
|
|
for ( i = j = 0; j < n; i++, j++ ) { |
|
for ( ; j < n; j++ ) { |
|
for ( l = i; l < n; l++ ) |
|
if ( mat[l][j] ) |
|
break; |
|
if ( l < n ) { |
|
t = mat[i]; mat[i] = mat[l]; mat[l] = t; break; |
|
} else |
|
ind[j] = 1; |
|
} |
|
if ( j == n ) |
|
break; |
|
invgfsn(mat[i][j],&inv); |
|
for ( s = j, t = mat[i]; s < n; s++ ) { |
|
mulgfsn(t[s],inv,&w); t[s] = w; |
|
} |
|
for ( l = 0; l < n; l++ ) { |
|
if ( l == i ) |
|
continue; |
|
u = mat[l]; |
|
chsgngfsn(u[j],&h); |
|
for ( s = j; s < n; s++ ) { |
|
mulgfsn(h,t[s],&w); addgfsn(w,u[s],&w1); u[s] = w1; |
} |
} |
} |
} |
} |
} |