| version 1.2, 2018/09/28 08:20:27 |
version 1.3, 2018/10/01 05:49:06 |
|
|
| * 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/asir2018/builtin/array.c,v 1.1 2018/09/19 05:45:05 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2018/builtin/array.c,v 1.2 2018/09/28 08:20:27 noro Exp $ |
| */ |
*/ |
| #include "ca.h" |
#include "ca.h" |
| #include "base.h" |
#include "base.h" |
| Line 1164 void Pgeneric_gauss_elim(NODE arg,LIST *rp) |
|
| Line 1164 void Pgeneric_gauss_elim(NODE arg,LIST *rp) |
|
| if ( is_hensel ) |
if ( is_hensel ) |
| rank = generic_gauss_elim_hensel(m,&nm,&dn,&ri,&ci); |
rank = generic_gauss_elim_hensel(m,&nm,&dn,&ri,&ci); |
| else |
else |
| rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci); |
rank = generic_gauss_elim64(m,&nm,&dn,&ri,&ci); |
| t = col-rank; |
t = col-rank; |
| MKVECT(rind,rank); |
MKVECT(rind,rank); |
| MKVECT(cind,t); |
MKVECT(cind,t); |
| Line 1229 void Pindep_rows_mod(NODE arg,VECT *rp) |
|
| Line 1229 void Pindep_rows_mod(NODE arg,VECT *rp) |
|
| B[I] <-> x_{R[I]}+B[I][0]x_{C[0]}+B[I][1]x_{C[1]}+... |
B[I] <-> x_{R[I]}+B[I][0]x_{C[0]}+B[I][1]x_{C[1]}+... |
| */ |
*/ |
| |
|
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#if SIZEOF_LONG==8 |
| |
void Pgeneric_gauss_elim_mod64(NODE arg,LIST *rp) |
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{ |
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NODE n0; |
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MAT m,mat; |
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VECT rind,cind,rnum; |
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Z **tmat; |
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mp_limb_t **wmat,**row0; |
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Z *rib,*cib,*rnb; |
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int *colstat; |
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mp_limb_t *p; |
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Z q; |
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mp_limb_t md; |
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int i,j,k,l,row,col,t,rank; |
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|
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asir_assert(ARG0(arg),O_MAT,"generic_gauss_elim_mod64"); |
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asir_assert(ARG1(arg),O_N,"generic_gauss_elim_mod64"); |
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m = (MAT)ARG0(arg); md = ZTOS((Z)ARG1(arg)); |
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row = m->row; col = m->col; tmat = (Z **)m->body; |
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wmat = (mp_limb_t **)almat64(row,col); |
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|
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row0 = (mp_limb_t **)ALLOCA(row*sizeof(mp_limb_t *)); |
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for ( i = 0; i < row; i++ ) row0[i] = wmat[i]; |
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|
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colstat = (int *)MALLOC_ATOMIC(col*sizeof(int)); |
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for ( i = 0; i < row; i++ ) |
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for ( j = 0; j < col; j++ ) |
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wmat[i][j] = remqi64((Q)tmat[i][j],md); |
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rank = generic_gauss_elim_mod64(wmat,row,col,md,colstat); |
| |
|
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MKVECT(rnum,rank); |
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rnb = (Z *)rnum->body; |
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for ( i = 0; i < rank; i++ ) |
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for ( j = 0, p = wmat[i]; j < row; j++ ) |
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if ( p == row0[j] ) |
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STOZ(j,rnb[i]); |
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|
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MKMAT(mat,rank,col-rank); |
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tmat = (Z **)mat->body; |
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for ( i = 0; i < rank; i++ ) |
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for ( j = k = 0; j < col; j++ ) |
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if ( !colstat[j] ) { |
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UTOZ(wmat[i][j],tmat[i][k]); k++; |
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} |
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|
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MKVECT(rind,rank); |
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MKVECT(cind,col-rank); |
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rib = (Z *)rind->body; cib = (Z *)cind->body; |
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for ( j = k = l = 0; j < col; j++ ) |
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if ( colstat[j] ) { |
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STOZ(j,rib[k]); k++; |
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} else { |
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STOZ(j,cib[l]); l++; |
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} |
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n0 = mknode(4,mat,rind,cind,rnum); |
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MKLIST(*rp,n0); |
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} |
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#endif |
| |
|
| void Pgeneric_gauss_elim_mod(NODE arg,LIST *rp) |
void Pgeneric_gauss_elim_mod(NODE arg,LIST *rp) |
| { |
{ |
| NODE n0; |
NODE n0; |
| Line 1239 void Pgeneric_gauss_elim_mod(NODE arg,LIST *rp) |
|
| Line 1298 void Pgeneric_gauss_elim_mod(NODE arg,LIST *rp) |
|
| Z *rib,*cib,*rnb; |
Z *rib,*cib,*rnb; |
| int *colstat,*p; |
int *colstat,*p; |
| Z q; |
Z q; |
| |
long mdl; |
| int md,i,j,k,l,row,col,t,rank; |
int md,i,j,k,l,row,col,t,rank; |
| |
|
| asir_assert(ARG0(arg),O_MAT,"generic_gauss_elim_mod"); |
asir_assert(ARG0(arg),O_MAT,"generic_gauss_elim_mod"); |
| asir_assert(ARG1(arg),O_N,"generic_gauss_elim_mod"); |
asir_assert(ARG1(arg),O_N,"generic_gauss_elim_mod"); |
| m = (MAT)ARG0(arg); md = ZTOS((Z)ARG1(arg)); |
#if SIZEOF_LONG==8 |
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mdl = ZTOS((Z)ARG1(arg)); |
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if ( mdl >= ((mp_limb_t)1)<<32 ) { |
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Pgeneric_gauss_elim_mod64(arg,rp); |
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return; |
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} |
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#endif |
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m = (MAT)ARG0(arg); |
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md = ZTOS((Z)ARG1(arg)); |
| row = m->row; col = m->col; tmat = (Z **)m->body; |
row = m->row; col = m->col; tmat = (Z **)m->body; |
| wmat = (int **)almat(row,col); |
wmat = (int **)almat(row,col); |
| |
|
| Line 1284 void Pgeneric_gauss_elim_mod(NODE arg,LIST *rp) |
|
| Line 1352 void Pgeneric_gauss_elim_mod(NODE arg,LIST *rp) |
|
| MKLIST(*rp,n0); |
MKLIST(*rp,n0); |
| } |
} |
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|
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|
| void Pleqm(NODE arg,VECT *rp) |
void Pleqm(NODE arg,VECT *rp) |
| { |
{ |
| MAT m; |
MAT m; |
| Line 1635 void red_by_vect(int m,unsigned int *p,unsigned int *r |
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| Line 1704 void red_by_vect(int m,unsigned int *p,unsigned int *r |
|
| } |
} |
| } |
} |
| |
|
| #if defined(__GNUC__) && SIZEOF_LONG==8 |
#if SIZEOF_LONG==8 |
| /* 64bit vector += UNIT vector(normalized) */ |
/* mp_limb_t vector += U32 vector(normalized)*U32 */ |
| |
|
| void red_by_vect64(int m, U64 *p,unsigned int *c,U64 *r,unsigned int hc,int len) |
void red_by_vect64(int m, mp_limb_t *p,unsigned int *c,mp_limb_t *r,unsigned int hc,int len) |
| { |
{ |
| U64 t; |
mp_limb_t t; |
| |
|
| /* (p[0],c[0]) is normalized */ |
/* (p[0],c[0]) is normalized */ |
| *p++ = 0; *c++ = 0; r++; len--; |
*p++ = 0; *c++ = 0; r++; len--; |
| Line 1651 void red_by_vect64(int m, U64 *p,unsigned int *c,U64 * |
|
| Line 1720 void red_by_vect64(int m, U64 *p,unsigned int *c,U64 * |
|
| *p = t; |
*p = t; |
| } |
} |
| } |
} |
| |
|
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/* mp_limb_t vector = (mp_limb_t vector+mp_limb_t vector*mp_limb_t)%mp_limb_t */ |
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|
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void red_by_vect64mod(mp_limb_t m, mp_limb_t *p,mp_limb_t *r,mp_limb_t 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 = muladdmod64(*r,hc,*p,m); |
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} |
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|
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int generic_gauss_elim_mod64(mp_limb_t **mat,int row,int col,mp_limb_t md,int *colstat) |
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{ |
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int i,j,k,l,rank; |
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mp_limb_t inv,a; |
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mp_limb_t *t,*pivot,*pk; |
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|
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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 = invmod64(pivot[j],md); |
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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 = mulmod64(*pk,inv,md); |
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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_vect64mod(md,t+j,pivot+j,md-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_vect64mod(md,t+j,pivot+j,md-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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|
| #endif |
#endif |
| |
|
| void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len) |
void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len) |