version 1.6, 2018/09/28 08:20:28 |
version 1.7, 2018/10/01 05:49:06 |
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/* $OpenXM: OpenXM_contrib2/asir2018/engine/nd.c,v 1.5 2018/09/27 02:39:37 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2018/engine/nd.c,v 1.6 2018/09/28 08:20:28 noro Exp $ */ |
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#include "nd.h" |
#include "nd.h" |
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Line 5796 int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r) |
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Line 5796 int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r) |
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return i; |
return i; |
} |
} |
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#if defined(__GNUC__) && SIZEOF_LONG==8 |
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#define MOD128(a,c,m) ((a)=(((c)!=0||((a)>=(m)))?(((((U128)(c))<<64)+(a))%(m)):(a))) |
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int nd_to_vect64(int mod,UINT *s0,int n,ND d,U64 *r) |
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{ |
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NM m; |
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UINT *t,*s; |
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int i; |
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for ( i = 0; i < n; i++ ) r[i] = 0; |
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for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) { |
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t = DL(m); |
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for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
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r[i] = (U64)CM(m); |
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} |
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for ( i = 0; !r[i]; i++ ); |
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return i; |
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} |
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#endif |
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int nd_to_vect_q(UINT *s0,int n,ND d,Z *r) |
int nd_to_vect_q(UINT *s0,int n,ND d,Z *r) |
{ |
{ |
NM m; |
NM m; |
Line 6220 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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Line 6199 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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return maxrs; |
return maxrs; |
} |
} |
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#if defined(__GNUC__) && SIZEOF_LONG==8 |
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int ndv_reduce_vect64(int m,U64 *svect,U64 *cvect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
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{ |
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int i,j,k,len,pos,prev; |
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U64 a,c,c1,c2; |
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IndArray ivect; |
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unsigned char *ivc; |
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unsigned short *ivs; |
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unsigned int *ivi; |
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NDV redv; |
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NMV mr; |
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NODE rp; |
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int maxrs; |
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for ( i = 0; i < col; i++ ) cvect[i] = 0; |
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maxrs = 0; |
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for ( i = 0; i < nred; i++ ) { |
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ivect = imat[i]; |
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k = ivect->head; |
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a = svect[k]; c = cvect[k]; |
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MOD128(a,c,m); |
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svect[k] = a; cvect[k] = 0; |
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if ( (c = svect[k]) != 0 ) { |
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maxrs = MAX(maxrs,rp0[i]->sugar); |
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c = m-c; redv = nd_ps[rp0[i]->index]; |
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len = LEN(redv); mr = BDY(redv); |
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svect[k] = 0; prev = k; |
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switch ( ivect->width ) { |
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case 1: |
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ivc = ivect->index.c; |
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for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
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pos = prev+ivc[j]; c1 = CM(mr); prev = pos; |
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if ( c1 ) { |
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c2 = svect[pos]+c1*c; |
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if ( c2 < svect[pos] ) cvect[pos]++; |
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svect[pos] = c2; |
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} |
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} |
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break; |
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case 2: |
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ivs = ivect->index.s; |
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for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
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pos = prev+ivs[j]; c1 = CM(mr); prev = pos; |
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if ( c1 ) { |
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c2 = svect[pos]+c1*c; |
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if ( c2 < svect[pos] ) cvect[pos]++; |
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svect[pos] = c2; |
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} |
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} |
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break; |
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case 4: |
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ivi = ivect->index.i; |
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for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
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pos = prev+ivi[j]; c1 = CM(mr); prev = pos; |
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if ( c1 ) { |
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c2 = svect[pos]+c1*c; |
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if ( c2 < svect[pos] ) cvect[pos]++; |
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svect[pos] = c2; |
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} |
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} |
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break; |
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} |
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} |
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} |
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for ( i = 0; i < col; i++ ) { |
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a = svect[i]; c = cvect[i]; MOD128(a,c,m); svect[i] = a; |
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} |
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return maxrs; |
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} |
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#endif |
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int ndv_reduce_vect_sf(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
int ndv_reduce_vect_sf(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
{ |
{ |
int i,j,k,len,pos,prev; |
int i,j,k,len,pos,prev; |
Line 6549 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
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Line 6456 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
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} |
} |
} |
} |
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#if defined(__GNUC__) && SIZEOF_LONG==8 |
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NDV vect64_to_ndv(U64 *vect,int spcol,int col,int *rhead,UINT *s0vect) |
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{ |
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int j,k,len; |
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UINT *p; |
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UINT c; |
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NDV r; |
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NMV mr0,mr; |
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for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
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if ( !len ) return 0; |
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else { |
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mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len); |
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#if 0 |
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ndv_alloc += nmv_adv*len; |
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#endif |
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mr = mr0; |
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p = s0vect; |
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for ( j = k = 0; j < col; j++, p += nd_wpd ) |
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if ( !rhead[j] ) { |
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if ( (c = (UINT)vect[k++]) != 0 ) { |
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ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr); |
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} |
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} |
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MKNDV(nd_nvar,mr0,len,r); |
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return r; |
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} |
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} |
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#endif |
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NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect) |
NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect) |
{ |
{ |
int j,k,len; |
int j,k,len; |
Line 7191 init_eg(&eg_search); |
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Line 7068 init_eg(&eg_search); |
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rhead[imat[i]->head] = 1; |
rhead[imat[i]->head] = 1; |
} |
} |
if ( m > 0 ) |
if ( m > 0 ) |
#if defined(__GNUC__) && SIZEOF_LONG==8 |
#if SIZEOF_LONG==8 |
r0 = nd_f4_red_mod64_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz); |
r0 = nd_f4_red_mod64_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz); |
#else |
#else |
r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz); |
r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz); |
Line 7296 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s |
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Line 7173 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s |
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return r0; |
return r0; |
} |
} |
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#if defined(__GNUC__) && SIZEOF_LONG==8 |
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/* for Fp, 2^15=<p<2^29 */ |
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NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
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NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz) |
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{ |
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int spcol,sprow,a; |
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int i,j,k,l,rank; |
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NODE r0,r; |
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ND_pairs sp; |
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ND spol; |
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U64 **spmat; |
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U64 *svect,*cvect; |
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U64 *v; |
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int *colstat; |
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struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
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int maxrs; |
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int *spsugar; |
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ND_pairs *spactive; |
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spcol = col-nred; |
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get_eg(&eg0); |
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/* elimination (1st step) */ |
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spmat = (U64 **)MALLOC(nsp*sizeof(U64 *)); |
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svect = (U64 *)MALLOC(col*sizeof(U64)); |
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cvect = (U64 *)MALLOC(col*sizeof(U64)); |
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spsugar = (int *)MALLOC(nsp*sizeof(int)); |
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spactive = !nz?0:(ND_pairs *)MALLOC(nsp*sizeof(ND_pairs)); |
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for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
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nd_sp(m,0,sp,&spol); |
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if ( !spol ) continue; |
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nd_to_vect64(m,s0vect,col,spol,svect); |
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maxrs = ndv_reduce_vect64(m,svect,cvect,col,imat,rvect,nred); |
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for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
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if ( i < col ) { |
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spmat[sprow] = v = (U64 *)MALLOC_ATOMIC(spcol*sizeof(U64)); |
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for ( j = k = 0; j < col; j++ ) |
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if ( !rhead[j] ) v[k++] = (UINT)svect[j]; |
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spsugar[sprow] = MAX(maxrs,SG(spol)); |
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if ( nz ) |
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spactive[sprow] = sp; |
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sprow++; |
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} |
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nd_free(spol); |
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} |
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get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
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if ( DP_Print ) { |
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fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime); |
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fflush(asir_out); |
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} |
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/* free index arrays */ |
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for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); |
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/* elimination (2nd step) */ |
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colstat = (int *)MALLOC(spcol*sizeof(int)); |
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rank = nd_gauss_elim_mod64(spmat,spsugar,spactive,sprow,spcol,m,colstat); |
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r0 = 0; |
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for ( i = 0; i < rank; i++ ) { |
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NEXTNODE(r0,r); BDY(r) = |
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(pointer)vect64_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
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SG((NDV)BDY(r)) = spsugar[i]; |
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GCFREE(spmat[i]); |
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} |
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if ( r0 ) NEXT(r) = 0; |
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for ( ; i < sprow; i++ ) GCFREE(spmat[i]); |
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get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
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init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
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if ( DP_Print ) { |
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fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime); |
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fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
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nsp,nred,sprow,spcol,rank); |
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fprintf(asir_out,"%.3fsec,",eg_f4.exectime); |
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} |
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if ( nz ) { |
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for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1]; |
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if ( rank > 0 ) { |
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NEXT(spactive[rank-1]) = 0; |
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*nz = spactive[0]; |
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} else |
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*nz = 0; |
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} |
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return r0; |
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} |
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#endif |
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/* for small finite fields */ |
/* for small finite fields */ |
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NODE nd_f4_red_sf_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
NODE nd_f4_red_sf_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
Line 7793 int nd_gauss_elim_mod(UINT **mat0,int *sugar,ND_pairs |
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Line 7585 int nd_gauss_elim_mod(UINT **mat0,int *sugar,ND_pairs |
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return rank; |
return rank; |
} |
} |
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#if defined(__GNUC__) && SIZEOF_LONG==8 |
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int nd_gauss_elim_mod64(U64 **mat,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat) |
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{ |
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int i,j,k,l,rank,s; |
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U64 inv; |
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U64 a; |
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UINT c; |
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U64 *t,*pivot,*pk; |
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UINT *ck; |
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UINT **cmat; |
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UINT *ct; |
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ND_pairs pair; |
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cmat = (UINT **)MALLOC(row*sizeof(UINT *)); |
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for ( i = 0; i < row; i++ ) { |
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cmat[i] = MALLOC_ATOMIC(col*sizeof(UINT)); |
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bzero(cmat[i],col*sizeof(UINT)); |
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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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a = mat[i][j]; c = cmat[i][j]; |
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MOD128(a,c,md); |
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mat[i][j] = a; cmat[i][j] = 0; |
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} |
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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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ct = cmat[i]; cmat[i] = cmat[rank]; cmat[rank] = ct; |
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s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s; |
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if ( spactive ) { |
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pair = spactive[i]; spactive[i] = spactive[rank]; |
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spactive[rank] = pair; |
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} |
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} |
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/* column j is normalized */ |
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s = sugar[rank]; |
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inv = invm((UINT)mat[rank][j],md); |
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/* normalize pivot row */ |
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for ( k = j, pk = mat[rank]+j, ck = cmat[rank]+j; k < col; k++, pk++, ck++ ) { |
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a = *pk; c = *ck; MOD128(a,c,md); *pk = (a*inv)%md; *ck = 0; |
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} |
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for ( i = rank+1; i < row; i++ ) { |
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if ( (a = mat[i][j]) != 0 ) { |
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sugar[i] = MAX(sugar[i],s); |
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red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[rank]+j,(int)(md-a),col-j); |
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} |
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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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for ( k = j, pk = mat[l]+j, ck = cmat[l]+j; k < col; k++, pk++, ck++ ) { |
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a = *pk; c = *ck; MOD128(a,c,md); *pk = a; *ck = 0; |
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} |
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s = sugar[l]; |
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for ( i = 0; i < l; i++ ) { |
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a = mat[i][j]; c = cmat[i][j]; MOD128(a,c,md); mat[i][j] = a; cmat[i][j] = 0; |
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if ( a ) { |
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sugar[i] = MAX(sugar[i],s); |
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red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[l]+j,(int)(md-a),col-j); |
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} |
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} |
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l--; |
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} |
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for ( i = 0; i < row; i++ ) GCFREE(cmat[i]); |
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GCFREE(cmat); |
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return rank; |
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} |
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#endif |
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int nd_gauss_elim_sf(UINT **mat0,int *sugar,int row,int col,int md,int *colstat) |
int nd_gauss_elim_sf(UINT **mat0,int *sugar,int row,int col,int md,int *colstat) |
{ |
{ |
int i,j,k,l,inv,a,rank,s; |
int i,j,k,l,inv,a,rank,s; |
Line 9264 NODE nd_f4_lf_trace_main(int m,int **indp) |
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Line 8978 NODE nd_f4_lf_trace_main(int m,int **indp) |
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conv_ilist(nd_demand,1,g,indp); |
conv_ilist(nd_demand,1,g,indp); |
return g; |
return g; |
} |
} |
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#if SIZEOF_LONG==8 |
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NDV vect64_to_ndv(mp_limb_t *vect,int spcol,int col,int *rhead,UINT *s0vect) |
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{ |
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int j,k,len; |
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UINT *p; |
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UINT c; |
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NDV r; |
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NMV mr0,mr; |
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for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
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if ( !len ) return 0; |
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else { |
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mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len); |
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#if 0 |
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ndv_alloc += nmv_adv*len; |
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#endif |
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mr = mr0; |
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p = s0vect; |
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for ( j = k = 0; j < col; j++, p += nd_wpd ) |
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if ( !rhead[j] ) { |
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if ( (c = (UINT)vect[k++]) != 0 ) { |
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ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr); |
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} |
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} |
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MKNDV(nd_nvar,mr0,len,r); |
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return r; |
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} |
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} |
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int nd_to_vect64(int mod,UINT *s0,int n,ND d,mp_limb_t *r) |
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{ |
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NM m; |
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UINT *t,*s; |
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int i; |
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for ( i = 0; i < n; i++ ) r[i] = 0; |
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for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) { |
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t = DL(m); |
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for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
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r[i] = (mp_limb_t)CM(m); |
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} |
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for ( i = 0; !r[i]; i++ ); |
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return i; |
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} |
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#define MOD128(a,c,m) ((a)=(((c)!=0||((a)>=(m)))?(((((U128)(c))<<64)+(a))%(m)):(a))) |
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int ndv_reduce_vect64(int m,mp_limb_t *svect,mp_limb_t *cvect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
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{ |
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int i,j,k,len,pos,prev; |
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mp_limb_t a,c,c1,c2; |
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IndArray ivect; |
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unsigned char *ivc; |
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unsigned short *ivs; |
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unsigned int *ivi; |
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NDV redv; |
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NMV mr; |
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NODE rp; |
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int maxrs; |
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for ( i = 0; i < col; i++ ) cvect[i] = 0; |
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maxrs = 0; |
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for ( i = 0; i < nred; i++ ) { |
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ivect = imat[i]; |
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k = ivect->head; |
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a = svect[k]; c = cvect[k]; |
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MOD128(a,c,m); |
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svect[k] = a; cvect[k] = 0; |
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if ( (c = svect[k]) != 0 ) { |
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maxrs = MAX(maxrs,rp0[i]->sugar); |
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c = m-c; redv = nd_ps[rp0[i]->index]; |
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len = LEN(redv); mr = BDY(redv); |
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svect[k] = 0; prev = k; |
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switch ( ivect->width ) { |
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case 1: |
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ivc = ivect->index.c; |
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for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
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pos = prev+ivc[j]; c1 = CM(mr); prev = pos; |
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if ( c1 ) { |
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c2 = svect[pos]+c1*c; |
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if ( c2 < svect[pos] ) cvect[pos]++; |
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svect[pos] = c2; |
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} |
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} |
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break; |
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case 2: |
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ivs = ivect->index.s; |
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for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
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pos = prev+ivs[j]; c1 = CM(mr); prev = pos; |
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if ( c1 ) { |
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c2 = svect[pos]+c1*c; |
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if ( c2 < svect[pos] ) cvect[pos]++; |
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svect[pos] = c2; |
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} |
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} |
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break; |
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case 4: |
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ivi = ivect->index.i; |
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for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
|
pos = prev+ivi[j]; c1 = CM(mr); prev = pos; |
|
if ( c1 ) { |
|
c2 = svect[pos]+c1*c; |
|
if ( c2 < svect[pos] ) cvect[pos]++; |
|
svect[pos] = c2; |
|
} |
|
} |
|
break; |
|
} |
|
} |
|
} |
|
for ( i = 0; i < col; i++ ) { |
|
a = svect[i]; c = cvect[i]; MOD128(a,c,m); svect[i] = a; |
|
} |
|
return maxrs; |
|
} |
|
|
|
/* for Fp, 2^15=<p<2^29 */ |
|
|
|
NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
|
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz) |
|
{ |
|
int spcol,sprow,a; |
|
int i,j,k,l,rank; |
|
NODE r0,r; |
|
ND_pairs sp; |
|
ND spol; |
|
mp_limb_t **spmat; |
|
mp_limb_t *svect,*cvect; |
|
mp_limb_t *v; |
|
int *colstat; |
|
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
|
int maxrs; |
|
int *spsugar; |
|
ND_pairs *spactive; |
|
|
|
spcol = col-nred; |
|
get_eg(&eg0); |
|
/* elimination (1st step) */ |
|
spmat = (mp_limb_t **)MALLOC(nsp*sizeof(mp_limb_t *)); |
|
svect = (mp_limb_t *)MALLOC(col*sizeof(mp_limb_t)); |
|
cvect = (mp_limb_t *)MALLOC(col*sizeof(mp_limb_t)); |
|
spsugar = (int *)MALLOC(nsp*sizeof(int)); |
|
spactive = !nz?0:(ND_pairs *)MALLOC(nsp*sizeof(ND_pairs)); |
|
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
|
nd_sp(m,0,sp,&spol); |
|
if ( !spol ) continue; |
|
nd_to_vect64(m,s0vect,col,spol,svect); |
|
maxrs = ndv_reduce_vect64(m,svect,cvect,col,imat,rvect,nred); |
|
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
|
if ( i < col ) { |
|
spmat[sprow] = v = (mp_limb_t *)MALLOC_ATOMIC(spcol*sizeof(mp_limb_t)); |
|
for ( j = k = 0; j < col; j++ ) |
|
if ( !rhead[j] ) v[k++] = (UINT)svect[j]; |
|
spsugar[sprow] = MAX(maxrs,SG(spol)); |
|
if ( nz ) |
|
spactive[sprow] = sp; |
|
sprow++; |
|
} |
|
nd_free(spol); |
|
} |
|
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
|
if ( DP_Print ) { |
|
fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime); |
|
fflush(asir_out); |
|
} |
|
/* free index arrays */ |
|
for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); |
|
|
|
/* elimination (2nd step) */ |
|
colstat = (int *)MALLOC(spcol*sizeof(int)); |
|
rank = nd_gauss_elim_mod64(spmat,spsugar,spactive,sprow,spcol,m,colstat); |
|
r0 = 0; |
|
for ( i = 0; i < rank; i++ ) { |
|
NEXTNODE(r0,r); BDY(r) = |
|
(pointer)vect64_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
|
SG((NDV)BDY(r)) = spsugar[i]; |
|
GCFREE(spmat[i]); |
|
} |
|
if ( r0 ) NEXT(r) = 0; |
|
|
|
for ( ; i < sprow; i++ ) GCFREE(spmat[i]); |
|
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
|
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
|
if ( DP_Print ) { |
|
fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime); |
|
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
|
nsp,nred,sprow,spcol,rank); |
|
fprintf(asir_out,"%.3fsec,",eg_f4.exectime); |
|
} |
|
if ( nz ) { |
|
for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1]; |
|
if ( rank > 0 ) { |
|
NEXT(spactive[rank-1]) = 0; |
|
*nz = spactive[0]; |
|
} else |
|
*nz = 0; |
|
} |
|
return r0; |
|
} |
|
|
|
int nd_gauss_elim_mod64(mp_limb_t **mat,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat) |
|
{ |
|
int i,j,k,l,rank,s; |
|
mp_limb_t inv; |
|
mp_limb_t a; |
|
UINT c; |
|
mp_limb_t *t,*pivot,*pk; |
|
UINT *ck; |
|
UINT **cmat; |
|
UINT *ct; |
|
ND_pairs pair; |
|
|
|
cmat = (UINT **)MALLOC(row*sizeof(UINT *)); |
|
for ( i = 0; i < row; i++ ) { |
|
cmat[i] = MALLOC_ATOMIC(col*sizeof(UINT)); |
|
bzero(cmat[i],col*sizeof(UINT)); |
|
} |
|
|
|
for ( rank = 0, j = 0; j < col; j++ ) { |
|
for ( i = rank; i < row; i++ ) { |
|
a = mat[i][j]; c = cmat[i][j]; |
|
MOD128(a,c,md); |
|
mat[i][j] = a; cmat[i][j] = 0; |
|
} |
|
for ( i = rank; i < row; i++ ) |
|
if ( mat[i][j] ) |
|
break; |
|
if ( i == row ) { |
|
colstat[j] = 0; |
|
continue; |
|
} else |
|
colstat[j] = 1; |
|
if ( i != rank ) { |
|
t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; |
|
ct = cmat[i]; cmat[i] = cmat[rank]; cmat[rank] = ct; |
|
s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s; |
|
if ( spactive ) { |
|
pair = spactive[i]; spactive[i] = spactive[rank]; |
|
spactive[rank] = pair; |
|
} |
|
} |
|
/* column j is normalized */ |
|
s = sugar[rank]; |
|
inv = invm((UINT)mat[rank][j],md); |
|
/* normalize pivot row */ |
|
for ( k = j, pk = mat[rank]+j, ck = cmat[rank]+j; k < col; k++, pk++, ck++ ) { |
|
a = *pk; c = *ck; MOD128(a,c,md); *pk = (a*inv)%md; *ck = 0; |
|
} |
|
for ( i = rank+1; i < row; i++ ) { |
|
if ( (a = mat[i][j]) != 0 ) { |
|
sugar[i] = MAX(sugar[i],s); |
|
red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[rank]+j,(int)(md-a),col-j); |
|
} |
|
} |
|
rank++; |
|
} |
|
for ( j = col-1, l = rank-1; j >= 0; j-- ) |
|
if ( colstat[j] ) { |
|
for ( k = j, pk = mat[l]+j, ck = cmat[l]+j; k < col; k++, pk++, ck++ ) { |
|
a = *pk; c = *ck; MOD128(a,c,md); *pk = a; *ck = 0; |
|
} |
|
s = sugar[l]; |
|
for ( i = 0; i < l; i++ ) { |
|
a = mat[i][j]; c = cmat[i][j]; MOD128(a,c,md); mat[i][j] = a; cmat[i][j] = 0; |
|
if ( a ) { |
|
sugar[i] = MAX(sugar[i],s); |
|
red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[l]+j,(int)(md-a),col-j); |
|
} |
|
} |
|
l--; |
|
} |
|
for ( i = 0; i < row; i++ ) GCFREE(cmat[i]); |
|
GCFREE(cmat); |
|
return rank; |
|
} |
|
#endif |
|
|