| 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; |
| } |
} |
| } |
} |
| } |
} |