version 1.7, 2001/06/25 04:11:41 |
version 1.12, 2001/09/03 07:01:05 |
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* 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 1.6 2001/06/25 01:35:20 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/gf.c,v 1.11 2001/08/02 03:59:15 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
Line 67 void nullspace_lm(LM **,int,int *); |
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Line 67 void nullspace_lm(LM **,int,int *); |
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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 *); |
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void nullspace_gfsn(GFSN **,int,int *); |
void null_to_sol(int **,int *,int,int,UM *); |
void null_to_sol(int **,int *,int,int,UM *); |
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void showgfmat(UM **,int); |
void showgfmat(UM **,int); |
Line 84 void Plinear_form_to_vect(),Pvect_to_linear_form(); |
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Line 85 void Plinear_form_to_vect(),Pvect_to_linear_form(); |
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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,NODE *); |
void sfuhensel(P,NODE,GFS,int,NODE *); |
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extern int current_ff; |
extern int current_ff; |
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Line 97 struct ftab gf_tab[] = { |
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Line 98 struct ftab gf_tab[] = { |
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{"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}, |
{"sfuhensel",Psfuhensel,4}, |
{0,0,0}, |
{0,0,0}, |
}; |
}; |
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LIST *rp; |
LIST *rp; |
{ |
{ |
P f; |
P f; |
V x,y; |
int bound; |
NODE r; |
NODE r,mfl; |
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GFS ev; |
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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,&r); |
bound = QTOS((Q)ARG3(arg)); |
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sfuhensel(f,mfl,ev,bound,&r); |
MKLIST(*rp,r); |
MKLIST(*rp,r); |
} |
} |
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void sfuhensel(f,x,y,rp) |
void sfuhensel(f,mfl,ev,bound,rp) |
P f; |
P f; |
V x,y; |
NODE mfl; |
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GFS ev; |
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int bound; |
NODE *rp; |
NODE *rp; |
{ |
{ |
ML lift; |
BM fl; |
int i; |
BM *r; |
P s; |
VL vl,nvl; |
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int i,fn,dx,dy; |
NODE t,top; |
NODE t,top; |
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UM fm,hm,q; |
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UM *gm; |
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V x,y; |
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P g,s,u; |
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sfhensel(5,f,x,&lift); |
clctv(CO,f,&vl); |
for ( i = lift->n-1, top = 0; i >= 0; i-- ) { |
if ( !vl || !vl->next || vl->next->next ) |
sfbmtop(CO,lift->bound,lift->c[i],x,y,&s); |
error("sfuhensel : f must be a bivariate poly"); |
MKNODE(t,s,top); top = t; |
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for ( i = 0, t = mfl; t; i++, t = NEXT(t) ); |
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fn = i; |
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gm = (UM *)MALLOC(fn*sizeof(UM)); |
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/* XXX : more severe check is necessary */ |
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x = VR((P)BDY(mfl)); |
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y = vl->v == x ? vl->next->v : vl->v; |
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for ( i = 0, t = mfl; i < fn; i++, t = NEXT(t) ) { |
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gm[i] = (pointer)UMALLOC(getdeg(x,(P)BDY(t))); |
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ptosfum((P)BDY(t),gm[i]); |
} |
} |
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/* reorder f if necessary */ |
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if ( vl->v != x ) { |
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reordvar(vl,x,&nvl); reorderp(nvl,vl,f,&g); |
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vl = nvl; f = g; |
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} |
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dx = getdeg(x,f); |
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dy = getdeg(y,f); |
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dy = MAX(dy,bound); |
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fl = BMALLOC(dx,dy); |
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ptosfbm(dy,f,fl); |
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if ( ev ) shiftsfbm(fl,FTOIF(CONT(ev))); |
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/* fm = fl mod y */ |
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fm = W_UMALLOC(dx); |
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cpyum(COEF(fl)[0],fm); |
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hm = W_UMALLOC(dx); |
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q = W_UMALLOC(dx); |
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r = (BM *)MLALLOC(fn*sizeof(BM)); |
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for ( i = 0; i < fn-1; i++ ) { |
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/* fl = gm[i]*hm mod y */ |
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divsfum(fm,gm[i],hm); |
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/* fl is replaced by the cofactor of gk mod y^bound */ |
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/* r[i] = gk */ |
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sfhenmain2(fl,gm[i],hm,bound,r+i); |
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cpyum(hm,fm); |
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} |
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/* finally, fl must be the lift of gm[fn-1] */ |
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r[i] = fl; |
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for ( i = fn-1, top = 0; i >= 0; i-- ) { |
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sfbmtop(r[i],x,y,&s); |
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reorderp(CO,vl,s,&u); |
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MKNODE(t,u,top); top = t; |
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} |
*rp = top; |
*rp = top; |
} |
} |
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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; |
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case FF_GFSN: |
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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"); |
} |
} |
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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; |
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} |
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} |
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} |
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} |
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void nullspace_gfsn(mat,n,ind) |
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GFSN **mat; |
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int n; |
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int *ind; |
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{ |
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int i,j,l,s; |
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GFSN w,w1,h,inv; |
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GFSN *t,*u; |
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GFSN one; |
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bzero(ind,n*sizeof(int)); |
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ind[0] = 0; |
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for ( i = j = 0; j < n; i++, j++ ) { |
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for ( ; j < n; j++ ) { |
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for ( l = i; l < n; l++ ) |
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if ( mat[l][j] ) |
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break; |
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if ( l < n ) { |
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t = mat[i]; mat[i] = mat[l]; mat[l] = t; break; |
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} else |
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ind[j] = 1; |
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} |
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if ( j == n ) |
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break; |
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invgfsn(mat[i][j],&inv); |
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for ( s = j, t = mat[i]; s < n; s++ ) { |
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mulgfsn(t[s],inv,&w); t[s] = w; |
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} |
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for ( l = 0; l < n; l++ ) { |
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if ( l == i ) |
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continue; |
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u = mat[l]; |
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chsgngfsn(u[j],&h); |
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for ( s = j; s < n; s++ ) { |
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mulgfsn(h,t[s],&w); addgfsn(w,u[s],&w1); u[s] = w1; |
} |
} |
} |
} |
} |
} |