| version 1.4, 2000/08/22 05:03:57 |
version 1.7, 2001/06/25 04:11:41 |
|
|
| * 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 1.3 2000/08/21 08:31:19 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/gf.c,v 1.6 2001/06/25 01:35:20 noro Exp $ |
| */ |
*/ |
| #include "ca.h" |
#include "ca.h" |
| #include "parse.h" |
#include "parse.h" |
| Line 66 void nullspace(UM **,UM,int,int,int *); |
|
| Line 66 void nullspace(UM **,UM,int,int,int *); |
|
| void nullspace_lm(LM **,int,int *); |
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 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 73 void pwr_mod(P,P,V,P,int,N,P *); |
|
| Line 74 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 Psfuhensel(); |
| |
|
| void Pnullspace_ff(); |
void Pnullspace_ff(); |
| |
|
| Line 82 void Plinear_form_to_vect(),Pvect_to_linear_form(); |
|
| Line 84 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,NODE *); |
| |
|
| extern int current_ff; |
extern int current_ff; |
| |
|
| Line 94 struct ftab gf_tab[] = { |
|
| Line 97 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}, |
| {0,0,0}, |
{0,0,0}, |
| }; |
}; |
| |
|
|
|
| *rp = top; |
*rp = top; |
| } |
} |
| |
|
| |
void Psfuhensel(arg,rp) |
| |
NODE arg; |
| |
LIST *rp; |
| |
{ |
| |
P f; |
| |
V x,y; |
| |
NODE r; |
| |
|
| |
f = (P)ARG0(arg); |
| |
x = VR((P)ARG1(arg)); |
| |
y = VR((P)ARG2(arg)); |
| |
sfuhensel(f,x,y,&r); |
| |
MKLIST(*rp,r); |
| |
} |
| |
|
| |
void sfuhensel(f,x,y,rp) |
| |
P f; |
| |
V x,y; |
| |
NODE *rp; |
| |
{ |
| |
ML lift; |
| |
int i; |
| |
P s; |
| |
NODE t,top; |
| |
|
| |
sfhensel(5,f,x,&lift); |
| |
for ( i = lift->n-1, top = 0; i >= 0; i-- ) { |
| |
sfbmtop(CO,lift->bound,lift->c[i],x,y,&s); |
| |
MKNODE(t,s,top); top = t; |
| |
} |
| |
*rp = top; |
| |
} |
| |
|
| void Presfmain(arg,rp) |
void Presfmain(arg,rp) |
| NODE arg; |
NODE arg; |
| LIST *rp; |
LIST *rp; |
|
|
| nullspace_gf2n((GF2N **)w,n,ind); break; |
nullspace_gf2n((GF2N **)w,n,ind); break; |
| case FF_GFPN: |
case FF_GFPN: |
| nullspace_gfpn((GFPN **)w,n,ind); break; |
nullspace_gfpn((GFPN **)w,n,ind); break; |
| |
case FF_GFS: |
| |
nullspace_gfs((GFS **)w,n,ind); break; |
| default: |
default: |
| error("nullspace_ff : current_ff is not set"); |
error("nullspace_ff : current_ff is not set"); |
| } |
} |
|
|
| } |
} |
| } |
} |
| } |
} |
| |
|
| |
void nullspace_gfs(mat,n,ind) |
| |
GFS **mat; |
| |
int n; |
| |
int *ind; |
| |
{ |
| |
int i,j,l,s; |
| |
GFS w,w1,h,inv; |
| |
GFS *t,*u; |
| |
GFS one; |
| |
|
| |
bzero(ind,n*sizeof(int)); |
| |
ind[0] = 0; |
| |
mqtogfs(ONEM,&one); |
| |
|
| |
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; |
| |
divgfs(one,mat[i][j],&inv); |
| |
for ( s = j, t = mat[i]; s < n; s++ ) { |
| |
mulgfs(t[s],inv,&w); t[s] = w; |
| |
} |
| |
for ( l = 0; l < n; l++ ) { |
| |
if ( l == i ) |
| |
continue; |
| |
u = mat[l]; |
| |
chsgngfs(u[j],&h); |
| |
for ( s = j; s < n; s++ ) { |
| |
mulgfs(h,t[s],&w); addgfs(w,u[s],&w1); u[s] = w1; |
| |
} |
| |
} |
| |
} |
| |
} |
| |
|
| /* p = a(0)vl[0]+a(1)vl[1]+...+a(m-1)vl[m-1]+a(m) -> array = [a(0) a(1) ... a(m)] */ |
/* p = a(0)vl[0]+a(1)vl[1]+...+a(m-1)vl[m-1]+a(m) -> array = [a(0) a(1) ... a(m)] */ |
| |
|
| void linear_form_to_array(p,vl,m,array) |
void linear_form_to_array(p,vl,m,array) |