version 1.30, 2003/06/10 16:54:13 |
version 1.44, 2005/01/12 10:38:07 |
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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/array.c,v 1.29 2003/06/09 16:18:09 saito Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/array.c,v 1.43 2004/12/18 16:50:10 saito Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
#include "parse.h" |
#include "parse.h" |
#include "inline.h" |
#include "inline.h" |
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#define F4_INTRAT_PERIOD 8 |
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#if 0 |
#if 0 |
#undef DMAR |
#undef DMAR |
#define DMAR(a1,a2,a3,d,r) (r)=dmar(a1,a2,a3,d); |
#define DMAR(a1,a2,a3,d,r) (r)=dmar(a1,a2,a3,d); |
Line 68 void Pgeneric_gauss_elim(); |
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Line 70 void Pgeneric_gauss_elim(); |
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void Pgeneric_gauss_elim_mod(); |
void Pgeneric_gauss_elim_mod(); |
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void Pmat_to_gfmmat(),Plu_gfmmat(),Psolve_by_lu_gfmmat(); |
void Pmat_to_gfmmat(),Plu_gfmmat(),Psolve_by_lu_gfmmat(); |
void Pgeninvm_swap(), Premainder(), Psremainder(), Pvtol(); |
void Pgeninvm_swap(), Premainder(), Psremainder(), Pvtol(), Pltov(); |
void Pgeninv_sf_swap(); |
void Pgeninv_sf_swap(); |
void sepvect(); |
void sepvect(); |
void Pmulmat_gf2n(); |
void Pmulmat_gf2n(); |
Line 87 void Pmat_swap_col_destructive(); |
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Line 89 void Pmat_swap_col_destructive(); |
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void Pvect(); |
void Pvect(); |
void Pmat(); |
void Pmat(); |
void Pmatc(); |
void Pmatc(); |
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void Pnd_det(); |
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struct ftab array_tab[] = { |
struct ftab array_tab[] = { |
{"solve_by_lu_gfmmat",Psolve_by_lu_gfmmat,4}, |
{"solve_by_lu_gfmmat",Psolve_by_lu_gfmmat,4}, |
Line 108 struct ftab array_tab[] = { |
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Line 111 struct ftab array_tab[] = { |
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{"sepvect",Psepvect,2}, |
{"sepvect",Psepvect,2}, |
{"qsort",Pqsort,-2}, |
{"qsort",Pqsort,-2}, |
{"vtol",Pvtol,1}, |
{"vtol",Pvtol,1}, |
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{"ltov",Pltov,1}, |
{"size",Psize,1}, |
{"size",Psize,1}, |
{"det",Pdet,-2}, |
{"det",Pdet,-2}, |
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{"nd_det",Pnd_det,-2}, |
{"invmat",Pinvmat,-2}, |
{"invmat",Pinvmat,-2}, |
{"leqm",Pleqm,2}, |
{"leqm",Pleqm,2}, |
{"leqm1",Pleqm1,2}, |
{"leqm1",Pleqm1,2}, |
Line 156 int generic_comp_obj(Obj *a,Obj *b) |
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Line 161 int generic_comp_obj(Obj *a,Obj *b) |
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void Pqsort(NODE arg,VECT *rp) |
void Pqsort(NODE arg,VECT *rp) |
{ |
{ |
VECT vect; |
VECT vect; |
NODE n; |
NODE n,n1; |
P p; |
P p; |
V v; |
V v; |
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FUNC func; |
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int len,i; |
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pointer *a; |
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Obj t; |
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asir_assert(ARG0(arg),O_VECT,"qsort"); |
t = ARG0(arg); |
vect = (VECT)ARG0(arg); |
if (OID(t) == O_LIST) { |
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n = (NODE)BDY((LIST)t); |
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len = length(n); |
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MKVECT(vect,len); |
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for ( i = 0; i < len; i++, n = NEXT(n) ) { |
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BDY(vect)[i] = BDY(n); |
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} |
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}else if (OID(t) != O_VECT) { |
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error("qsort : invalid argument"); |
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}else { |
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vect = (VECT)t; |
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} |
if ( argc(arg) == 1 ) |
if ( argc(arg) == 1 ) |
qsort(BDY(vect),vect->len,sizeof(Obj),(int (*)(const void *,const void *))comp_obj); |
qsort(BDY(vect),vect->len,sizeof(Obj),(int (*)(const void *,const void *))comp_obj); |
else { |
else { |
Line 169 void Pqsort(NODE arg,VECT *rp) |
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Line 190 void Pqsort(NODE arg,VECT *rp) |
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if ( !p || OID(p)!=2 ) |
if ( !p || OID(p)!=2 ) |
error("qsort : invalid argument"); |
error("qsort : invalid argument"); |
v = VR(p); |
v = VR(p); |
if ( (int)v->attr != V_SR ) |
gen_searchf(NAME(v),&func); |
error("qsort : no such function"); |
if ( !func ) { |
generic_comp_obj_func = (FUNC)v->priv; |
if ( (int)v->attr != V_SR ) |
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error("qsort : no such function"); |
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func = (FUNC)v->priv; |
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} |
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generic_comp_obj_func = func; |
MKNODE(n,0,0); MKNODE(generic_comp_obj_arg,0,n); |
MKNODE(n,0,0); MKNODE(generic_comp_obj_arg,0,n); |
qsort(BDY(vect),vect->len,sizeof(Obj),(int (*)(const void *,const void *))generic_comp_obj); |
qsort(BDY(vect),vect->len,sizeof(Obj),(int (*)(const void *,const void *))generic_comp_obj); |
} |
} |
*rp = vect; |
if (OID(t) == O_LIST) { |
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a = BDY(vect); |
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for ( i = len - 1, n = 0; i >= 0; i-- ) { |
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MKNODE(n1,a[i],n); n = n1; |
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} |
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MKLIST((LIST)*rp,n); |
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}else { |
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*rp = vect; |
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} |
} |
} |
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void PNBmul_gf2n(NODE arg,GF2N *rp) |
void PNBmul_gf2n(NODE arg,GF2N *rp) |
Line 596 void Pvtol(NODE arg,LIST *rp) |
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Line 629 void Pvtol(NODE arg,LIST *rp) |
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MKLIST(*rp,n); |
MKLIST(*rp,n); |
} |
} |
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void Pltov(NODE arg,VECT *rp) |
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{ |
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NODE n; |
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VECT v; |
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int len,i; |
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asir_assert(ARG0(arg),O_LIST,"ltov"); |
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n = (NODE)BDY((LIST)ARG0(arg)); |
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len = length(n); |
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MKVECT(v,len); |
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for ( i = 0; i < len; i++, n = NEXT(n) ) |
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BDY(v)[i] = BDY(n); |
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*rp = v; |
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} |
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void Premainder(NODE arg,Obj *rp) |
void Premainder(NODE arg,Obj *rp) |
{ |
{ |
Obj a; |
Obj a; |
Line 712 void Psize(NODE arg,LIST *rp) |
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Line 760 void Psize(NODE arg,LIST *rp) |
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n = ((MAT)ARG0(arg))->row; m = ((MAT)ARG0(arg))->col; |
n = ((MAT)ARG0(arg))->row; m = ((MAT)ARG0(arg))->col; |
STOQ(m,q); MKNODE(s,q,0); STOQ(n,q); MKNODE(t,q,s); |
STOQ(m,q); MKNODE(s,q,0); STOQ(n,q); MKNODE(t,q,s); |
break; |
break; |
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case O_IMAT: |
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n = ((IMAT)ARG0(arg))->row; m = ((IMAT)ARG0(arg))->col; |
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STOQ(m,q); MKNODE(s,q,0); STOQ(n,q); MKNODE(t,q,s); |
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break; |
default: |
default: |
error("size : invalid argument"); break; |
error("size : invalid argument"); break; |
} |
} |
Line 953 int gauss_elim_mod(int **mat,int row,int col,int md) |
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Line 1005 int gauss_elim_mod(int **mat,int row,int col,int md) |
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} |
} |
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struct oEGT eg_mod,eg_elim,eg_elim1,eg_elim2,eg_chrem,eg_gschk,eg_intrat,eg_symb; |
struct oEGT eg_mod,eg_elim,eg_elim1,eg_elim2,eg_chrem,eg_gschk,eg_intrat,eg_symb; |
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struct oEGT eg_conv; |
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int generic_gauss_elim(MAT mat,MAT *nm,Q *dn,int **rindp,int **cindp) |
int generic_gauss_elim(MAT mat,MAT *nm,Q *dn,int **rindp,int **cindp) |
{ |
{ |
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add_eg(&eg_chrem_split,&tmp0,&tmp1); |
add_eg(&eg_chrem_split,&tmp0,&tmp1); |
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get_eg(&tmp0); |
get_eg(&tmp0); |
if ( ind % 16 ) |
if ( ind % F4_INTRAT_PERIOD ) |
ret = 0; |
ret = 0; |
else |
else |
ret = intmtoratm(crmat,m1,*nm,dn); |
ret = intmtoratm(crmat,m1,*nm,dn); |
Line 1122 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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Line 1175 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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int *cinfo,*rinfo; |
int *cinfo,*rinfo; |
int *rind,*cind; |
int *rind,*cind; |
int count; |
int count; |
struct oEGT eg_mul,eg_inv,tmp0,tmp1; |
int ret; |
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struct oEGT eg_mul,eg_inv,eg_intrat,eg_check,tmp0,tmp1; |
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int period; |
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int *wx,*ptr; |
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int wxsize,nsize; |
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N wn; |
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Q wq; |
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a0 = (Q **)mat->body; |
a0 = (Q **)mat->body; |
row = mat->row; col = mat->col; |
row = mat->row; col = mat->col; |
Line 1170 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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Line 1229 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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*cindp = cind = (int *)MALLOC_ATOMIC((ri)*sizeof(int)); |
*cindp = cind = (int *)MALLOC_ATOMIC((ri)*sizeof(int)); |
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init_eg(&eg_mul); init_eg(&eg_inv); |
init_eg(&eg_mul); init_eg(&eg_inv); |
for ( q = ONE, count = 0; ; count++ ) { |
init_eg(&eg_check); init_eg(&eg_intrat); |
fprintf(stderr,"."); |
period = F4_INTRAT_PERIOD; |
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nsize = period; |
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wxsize = rank*ri*nsize; |
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wx = (int *)MALLOC_ATOMIC(wxsize*sizeof(int)); |
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for ( i = 0; i < wxsize; i++ ) wx[i] = 0; |
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for ( q = ONE, count = 0; ; ) { |
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if ( DP_Print > 3 ) |
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fprintf(stderr,"o"); |
/* wc = -b mod md */ |
/* wc = -b mod md */ |
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get_eg(&tmp0); |
for ( i = 0; i < rank; i++ ) |
for ( i = 0; i < rank; i++ ) |
for ( j = 0, bi = b[i], wi = wc[i]; j < ri; j++ ) |
for ( j = 0, bi = b[i], wi = wc[i]; j < ri; j++ ) |
if ( u = (Q)bi[j] ) { |
if ( u = (Q)bi[j] ) { |
Line 1182 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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Line 1249 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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wi[j] = t; |
wi[j] = t; |
} else |
} else |
wi[j] = 0; |
wi[j] = 0; |
/* wc = A^(-1)wc; wc is normalized */ |
/* wc = A^(-1)wc; wc is not normalized */ |
get_eg(&tmp0); |
solve_by_lu_mod(w,rank,md,wc,ri,0); |
solve_by_lu_mod(w,rank,md,wc,ri); |
/* wx += q*wc */ |
get_eg(&tmp1); |
ptr = wx; |
add_eg(&eg_inv,&tmp0,&tmp1); |
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/* x = x-q*wc */ |
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for ( i = 0; i < rank; i++ ) |
for ( i = 0; i < rank; i++ ) |
for ( j = 0, xi = x[i], wi = wc[i]; j < ri; j++ ) { |
for ( j = 0, wi = wc[i]; j < ri; j++ ) { |
STOQ(wi[j],u); mulq(q,u,&s); |
if ( wi[j] ) |
subq(xi[j],s,&u); xi[j] = u; |
muln_1(BD(NM(q)),PL(NM(q)),wi[j],ptr); |
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ptr += nsize; |
} |
} |
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count++; |
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get_eg(&tmp1); |
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add_eg(&eg_inv,&tmp0,&tmp1); |
get_eg(&tmp0); |
get_eg(&tmp0); |
for ( i = 0; i < rank; i++ ) |
for ( i = 0; i < rank; i++ ) |
for ( j = 0; j < ri; j++ ) { |
for ( j = 0; j < ri; j++ ) { |
Line 1210 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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Line 1279 int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn |
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add_eg(&eg_mul,&tmp0,&tmp1); |
add_eg(&eg_mul,&tmp0,&tmp1); |
/* q = q*md */ |
/* q = q*md */ |
mulq(q,mdq,&u); q = u; |
mulq(q,mdq,&u); q = u; |
if ( !(count % 16) && intmtoratm_q(xmat,NM(q),*nmmat,dn) ) { |
if ( count == period ) { |
for ( j = k = l = 0; j < col; j++ ) |
get_eg(&tmp0); |
if ( cinfo[j] ) |
ptr = wx; |
rind[k++] = j; |
for ( i = 0; i < rank; i++ ) |
else |
for ( j = 0, xi = x[i]; j < ri; |
cind[l++] = j; |
j++, ptr += nsize ) { |
if ( gensolve_check(mat,*nmmat,*dn,rind,cind) ) { |
for ( k = nsize-1; k >= 0 && !ptr[k]; k-- ); |
fprintf(stderr,"\n"); |
if ( k >= 0 ) { |
print_eg("INV",&eg_inv); |
wn = NALLOC(k+1); |
print_eg("MUL",&eg_mul); |
PL(wn) = k+1; |
fflush(asir_out); |
for ( l = 0; l <= k; l++ ) BD(wn)[l] = (unsigned int)ptr[l]; |
return rank; |
NTOQ(wn,1,wq); |
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subq(xi[j],wq,&u); xi[j] = u; |
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} |
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} |
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ret = intmtoratm_q(xmat,NM(q),*nmmat,dn); |
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get_eg(&tmp1); add_eg(&eg_intrat,&tmp0,&tmp1); |
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if ( ret ) { |
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for ( j = k = l = 0; j < col; j++ ) |
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if ( cinfo[j] ) |
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rind[k++] = j; |
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else |
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cind[l++] = j; |
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get_eg(&tmp0); |
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ret = gensolve_check(mat,*nmmat,*dn,rind,cind); |
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get_eg(&tmp1); add_eg(&eg_check,&tmp0,&tmp1); |
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if ( ret ) { |
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if ( DP_Print > 3 ) { |
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fprintf(stderr,"\n"); |
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print_eg("INV",&eg_inv); |
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print_eg("MUL",&eg_mul); |
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print_eg("INTRAT",&eg_intrat); |
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print_eg("CHECK",&eg_check); |
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fflush(asir_out); |
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} |
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return rank; |
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} |
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} else { |
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period = period*3/2; |
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count = 0; |
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nsize += period; |
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wxsize += rank*ri*nsize; |
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wx = (int *)REALLOC(wx,wxsize*sizeof(int)); |
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for ( i = 0; i < wxsize; i++ ) wx[i] = 0; |
} |
} |
} |
} |
} |
} |
Line 1575 void red_by_vect(int m,unsigned int *p,unsigned int *r |
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Line 1676 void red_by_vect(int m,unsigned int *p,unsigned int *r |
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} |
} |
} |
} |
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void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len) |
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{ |
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*p++ = 0; r++; len--; |
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for ( ; len; len--, r++, p++ ) |
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if ( *r ) |
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*p = _addsf(_mulsf(*r,hc),*p); |
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} |
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extern unsigned int **psca; |
extern unsigned int **psca; |
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void reduce_sp_by_red_mod_compress (int *sp,CDP *redmat,int *ind, |
void reduce_sp_by_red_mod_compress (int *sp,CDP *redmat,int *ind, |
Line 1663 int generic_gauss_elim_mod(int **mat0,int row,int col, |
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Line 1772 int generic_gauss_elim_mod(int **mat0,int row,int col, |
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return rank; |
return rank; |
} |
} |
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int generic_gauss_elim_sf(int **mat0,int row,int col,int md,int *colstat) |
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{ |
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int i,j,k,l,inv,a,rank; |
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unsigned int *t,*pivot,*pk; |
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unsigned int **mat; |
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mat = (unsigned int **)mat0; |
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for ( rank = 0, j = 0; j < col; j++ ) { |
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for ( i = rank; i < row; i++ ) |
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if ( mat[i][j] ) |
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break; |
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if ( i == row ) { |
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colstat[j] = 0; |
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continue; |
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} else |
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colstat[j] = 1; |
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if ( i != rank ) { |
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t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; |
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} |
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pivot = mat[rank]; |
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inv = _invsf(pivot[j]); |
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for ( k = j, pk = pivot+k; k < col; k++, pk++ ) |
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if ( *pk ) |
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*pk = _mulsf(*pk,inv); |
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for ( i = rank+1; i < row; i++ ) { |
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t = mat[i]; |
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if ( a = t[j] ) |
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red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j); |
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} |
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rank++; |
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} |
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for ( j = col-1, l = rank-1; j >= 0; j-- ) |
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if ( colstat[j] ) { |
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pivot = mat[l]; |
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for ( i = 0; i < l; i++ ) { |
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t = mat[i]; |
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if ( a = t[j] ) |
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red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j); |
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} |
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l--; |
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} |
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return rank; |
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} |
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/* LU decomposition; a[i][i] = 1/U[i][i] */ |
/* LU decomposition; a[i][i] = 1/U[i][i] */ |
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int lu_gfmmat(GFMMAT mat,unsigned int md,int *perm) |
int lu_gfmmat(GFMMAT mat,unsigned int md,int *perm) |
Line 1771 int find_lhs_and_lu_mod(unsigned int **a,int row,int c |
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Line 1924 int find_lhs_and_lu_mod(unsigned int **a,int row,int c |
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b = a^(-1)b |
b = a^(-1)b |
*/ |
*/ |
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void solve_by_lu_mod(int **a,int n,int md,int **b,int l) |
void solve_by_lu_mod(int **a,int n,int md,int **b,int l,int normalize) |
{ |
{ |
unsigned int *y,*c; |
unsigned int *y,*c; |
int i,j,k; |
int i,j,k; |
Line 1804 void solve_by_lu_mod(int **a,int n,int md,int **b,int |
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Line 1957 void solve_by_lu_mod(int **a,int n,int md,int **b,int |
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DMAR(t,a[i][i],0,md,c[i]) |
DMAR(t,a[i][i],0,md,c[i]) |
} |
} |
/* copy c to b[.][k] with normalization */ |
/* copy c to b[.][k] with normalization */ |
for ( i = 0; i < n; i++ ) |
if ( normalize ) |
b[i][k] = (int)(c[i]>m2 ? c[i]-md : c[i]); |
for ( i = 0; i < n; i++ ) |
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b[i][k] = (int)(c[i]>m2 ? c[i]-md : c[i]); |
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else |
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for ( i = 0; i < n; i++ ) |
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b[i][k] = c[i]; |
} |
} |
} |
} |
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Line 2816 void printimat(int **mat,int row,int col) |
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Line 2973 void printimat(int **mat,int row,int col) |
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} |
} |
printf("\n"); |
printf("\n"); |
} |
} |
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} |
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void Pnd_det(NODE arg,P *rp) |
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{ |
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if ( argc(arg) == 1 ) |
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nd_det(0,ARG0(arg),rp); |
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else |
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nd_det(QTOS((Q)ARG1(arg)),ARG0(arg),rp); |
} |
} |