version 1.107, 2004/09/21 02:34:12 |
version 1.114, 2004/10/25 04:19:50 |
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.106 2004/09/21 02:23:49 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.113 2004/10/06 12:09:19 noro Exp $ */ |
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#include "nd.h" |
#include "nd.h" |
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Line 41 static int nd_found,nd_create,nd_notfirst; |
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Line 41 static int nd_found,nd_create,nd_notfirst; |
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static int nmv_adv; |
static int nmv_adv; |
static int nd_demand; |
static int nd_demand; |
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UINT *nd_det_compute_bound(NDV **dm,int n,int j); |
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void nd_det_reconstruct(NDV **dm,int n,int j,NDV d); |
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void nd_free_private_storage() |
void nd_free_private_storage() |
{ |
{ |
_nm_free_list = 0; |
_nm_free_list = 0; |
Line 724 int ndl_disjoint(UINT *d1,UINT *d2) |
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Line 727 int ndl_disjoint(UINT *d1,UINT *d2) |
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#endif |
#endif |
} |
} |
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int ndl_check_bound2(int index,UINT *d2) |
int ndl_check_bound(UINT *d1,UINT *d2) |
{ |
{ |
UINT u2; |
UINT u2; |
UINT *d1; |
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int i,j,ind,k; |
int i,j,ind,k; |
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d1 = nd_bound[index]; |
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ind = 0; |
ind = 0; |
#if USE_UNROLL |
#if USE_UNROLL |
switch ( nd_bpe ) { |
switch ( nd_bpe ) { |
Line 819 int ndl_check_bound2(int index,UINT *d2) |
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Line 820 int ndl_check_bound2(int index,UINT *d2) |
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#endif |
#endif |
} |
} |
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int ndl_check_bound2(int index,UINT *d2) |
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{ |
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return ndl_check_bound(nd_bound[index],d2); |
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} |
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INLINE int ndl_hash_value(UINT *d) |
INLINE int ndl_hash_value(UINT *d) |
{ |
{ |
int i; |
int i; |
Line 2579 void removecont_array(Q *c,int n) |
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Line 2585 void removecont_array(Q *c,int n) |
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{ |
{ |
struct oVECT v; |
struct oVECT v; |
Q d0,d1,a,u,u1,gcd; |
Q d0,d1,a,u,u1,gcd; |
int i; |
int i,j; |
N qn,rn,gn; |
N qn,rn,gn; |
Q *q,*r; |
Q *q,*r; |
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Line 3785 int nd_to_vect_q(UINT *s0,int n,ND d,Q *r) |
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Line 3791 int nd_to_vect_q(UINT *s0,int n,ND d,Q *r) |
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return i; |
return i; |
} |
} |
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int nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair,UINT *r) |
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{ |
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NM m; |
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NMV mr; |
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UINT *d,*t,*s; |
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NDV p; |
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int i,j,len; |
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m = pair->mul; |
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d = DL(m); |
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p = nd_ps[pair->index]; |
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t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
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for ( i = 0; i < n; i++ ) r[i] = 0; |
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len = LEN(p); |
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for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) { |
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ndl_add(d,DL(mr),t); |
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for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
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r[i] = CM(mr); |
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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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IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0,int n,NM_ind_pair pair) |
IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0,int n,NM_ind_pair pair) |
{ |
{ |
NM m; |
NM m; |
Line 3860 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
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Line 3843 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0 |
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int ndv_reduce_vect_q(Q *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
int ndv_reduce_vect_q(Q *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; |
Q cs,mcs,c1,c2,cr,gcd; |
Q cs,mcs,c1,c2,cr,gcd,t; |
IndArray ivect; |
IndArray ivect; |
unsigned char *ivc; |
unsigned char *ivc; |
unsigned short *ivs; |
unsigned short *ivs; |
Line 3880 int ndv_reduce_vect_q(Q *svect,int col,IndArray *imat, |
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Line 3863 int ndv_reduce_vect_q(Q *svect,int col,IndArray *imat, |
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len = LEN(redv); mr = BDY(redv); |
len = LEN(redv); mr = BDY(redv); |
igcd_cofactor(svect[k],CQ(mr),&gcd,&cs,&cr); |
igcd_cofactor(svect[k],CQ(mr),&gcd,&cs,&cr); |
chsgnq(cs,&mcs); |
chsgnq(cs,&mcs); |
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if ( !UNIQ(cr) ) { |
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for ( j = 0; j < col; j++ ) { |
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mulq(svect[j],cr,&c1); svect[j] = c1; |
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} |
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} |
svect[k] = 0; prev = k; |
svect[k] = 0; prev = k; |
switch ( ivect->width ) { |
switch ( ivect->width ) { |
case 1: |
case 1: |
ivc = ivect->index.c; |
ivc = ivect->index.c; |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
pos = prev+ivc[j]; prev = pos; |
pos = prev+ivc[j]; prev = pos; |
mulq(svect[pos],cr,&c1); mulq(CQ(mr),mcs,&c2); addq(c1,c2,&svect[pos]); |
mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t; |
} |
} |
break; |
break; |
case 2: |
case 2: |
ivs = ivect->index.s; |
ivs = ivect->index.s; |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
pos = prev+ivs[j]; prev = pos; |
pos = prev+ivs[j]; prev = pos; |
mulq(svect[pos],cr,&c1); mulq(CQ(mr),mcs,&c2); addq(c1,c2,&svect[pos]); |
mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t; |
} |
} |
break; |
break; |
case 4: |
case 4: |
ivi = ivect->index.i; |
ivi = ivect->index.i; |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
pos = prev+ivi[j]; prev = pos; |
pos = prev+ivi[j]; prev = pos; |
mulq(svect[pos],cr,&c1); mulq(CQ(mr),mcs,&c2); addq(c1,c2,&svect[pos]); |
mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t; |
} |
} |
break; |
break; |
} |
} |
Line 4059 NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead |
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Line 4047 NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead |
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for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
if ( !len ) return 0; |
if ( !len ) return 0; |
else { |
else { |
mr0 = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len); |
mr0 = (NMV)GC_malloc(nmv_adv*len); |
#if 0 |
#if 0 |
ndv_alloc += nmv_adv*len; |
ndv_alloc += nmv_adv*len; |
#endif |
#endif |
Line 4068 NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead |
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Line 4056 NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead |
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for ( j = k = 0; j < col; j++, p += nd_wpd ) |
for ( j = k = 0; j < col; j++, p += nd_wpd ) |
if ( !rhead[j] ) { |
if ( !rhead[j] ) { |
if ( c = vect[k++] ) { |
if ( c = vect[k++] ) { |
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if ( DN(c) ) |
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error("afo"); |
ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr); |
ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr); |
} |
} |
} |
} |
Line 4155 NODE nd_f4(int m) |
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Line 4145 NODE nd_f4(int m) |
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PGeoBucket bucket; |
PGeoBucket bucket; |
struct oEGT eg0,eg1,eg_f4; |
struct oEGT eg0,eg1,eg_f4; |
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if ( !m ) |
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error("nd_f4 : not implemented"); |
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#if 0 |
#if 0 |
ndv_alloc = 0; |
ndv_alloc = 0; |
#endif |
#endif |
Line 4298 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s |
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Line 4286 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s |
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SG((NDV)BDY(r)) = spsugar[i]; |
SG((NDV)BDY(r)) = spsugar[i]; |
GC_free(spmat[i]); |
GC_free(spmat[i]); |
} |
} |
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if ( r0 ) NEXT(r) = 0; |
for ( ; i < sprow; i++ ) GC_free(spmat[i]); |
for ( ; i < sprow; i++ ) GC_free(spmat[i]); |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
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); |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
Line 4328 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec |
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Line 4317 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec |
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spcol = col-nred; |
spcol = col-nred; |
get_eg(&eg0); |
get_eg(&eg0); |
/* elimination (1st step) */ |
/* elimination (1st step) */ |
spmat = (Q **)ALLOCA(nsp*sizeof(UINT *)); |
spmat = (Q **)ALLOCA(nsp*sizeof(Q *)); |
svect = (Q *)ALLOCA(col*sizeof(UINT)); |
svect = (Q *)ALLOCA(col*sizeof(Q)); |
spsugar = (int *)ALLOCA(nsp*sizeof(UINT)); |
spsugar = (int *)ALLOCA(nsp*sizeof(Q)); |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
nd_sp(0,0,sp,&spol); |
nd_sp(0,0,sp,&spol); |
if ( !spol ) continue; |
if ( !spol ) continue; |
Line 4338 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec |
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Line 4327 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec |
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maxrs = ndv_reduce_vect_q(svect,col,imat,rvect,nred); |
maxrs = ndv_reduce_vect_q(svect,col,imat,rvect,nred); |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
if ( i < col ) { |
if ( i < col ) { |
spmat[sprow] = v = (Q *)MALLOC_ATOMIC(spcol*sizeof(Q)); |
spmat[sprow] = v = (Q *)MALLOC(spcol*sizeof(Q)); |
for ( j = k = 0; j < col; j++ ) |
for ( j = k = 0; j < col; j++ ) |
if ( !rhead[j] ) v[k++] = svect[j]; |
if ( !rhead[j] ) v[k++] = svect[j]; |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
sprow++; |
sprow++; |
} |
} |
nd_free(spol); |
/* nd_free(spol); */ |
} |
} |
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
if ( DP_Print ) { |
if ( DP_Print ) { |
Line 4352 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec |
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Line 4341 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec |
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fflush(asir_out); |
fflush(asir_out); |
} |
} |
/* free index arrays */ |
/* free index arrays */ |
for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c); |
/* for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c); */ |
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/* elimination (2nd step) */ |
/* elimination (2nd step) */ |
colstat = (int *)ALLOCA(spcol*sizeof(int)); |
colstat = (int *)ALLOCA(spcol*sizeof(int)); |
Line 4362 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec |
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Line 4351 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec |
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NEXTNODE(r0,r); BDY(r) = |
NEXTNODE(r0,r); BDY(r) = |
(pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect); |
(pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect); |
SG((NDV)BDY(r)) = spsugar[i]; |
SG((NDV)BDY(r)) = spsugar[i]; |
GC_free(spmat[i]); |
/* GC_free(spmat[i]); */ |
} |
} |
for ( ; i < sprow; i++ ) GC_free(spmat[i]); |
if ( r0 ) NEXT(r) = 0; |
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/* for ( ; i < sprow; i++ ) GC_free(spmat[i]); */ |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
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); |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
if ( DP_Print ) { |
if ( DP_Print ) { |
Line 4634 void nd_exec_f4_red_dist() |
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Line 4625 void nd_exec_f4_red_dist() |
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int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int col,int *colstat) |
int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int col,int *colstat) |
{ |
{ |
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int mod,i,j,t,c,rank,rank0,inv; |
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int *ci,*ri; |
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Q dn; |
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MAT m,nm; |
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int **wmat; |
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/* XXX */ |
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mod = 99999989; |
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wmat = (int **)ALLOCA(row*sizeof(int *)); |
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for ( i = 0; i < row; i++ ) { |
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wmat[i] = (int *)ALLOCA(col*sizeof(int)); |
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for ( j = 0; j < col; j++ ) { |
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if ( mat0[i][j] ) { |
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t = rem(NM(mat0[i][j]),mod); |
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if ( SGN(mat0[i][j]) < 0 ) t = mod-t; |
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wmat[i][j] = t; |
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} else |
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wmat[i][j] = 0; |
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} |
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} |
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rank0 = nd_gauss_elim_mod(wmat,sugar,row,col,mod,colstat); |
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NEWMAT(m); m->row = row; m->col = col; m->body = (pointer **)mat0; |
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rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci); |
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if ( rank != rank0 ) |
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error("afo"); |
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for ( i = 0; i < row; i++ ) |
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for ( j = 0; j < col; j++ ) |
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mat0[i][j] = 0; |
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c = col-rank; |
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for ( i = 0; i < rank; i++ ) { |
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mat0[i][ri[i]] = dn; |
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for ( j = 0; j < c; j++ ) |
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mat0[i][ci[j]] = (Q)BDY(nm)[i][j]; |
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} |
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inv = invm(rem(NM(dn),mod),mod); |
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if ( SGN(dn) < 0 ) inv = mod-inv; |
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for ( i = 0; i < row; i++ ) |
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for ( j = 0; j < col; j++ ) { |
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if ( mat0[i][j] ) { |
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t = rem(NM(mat0[i][j]),mod); |
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if ( SGN(mat0[i][j]) < 0 ) t = mod-t; |
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} else |
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t = 0; |
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c = dmar(t,inv,0,mod); |
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if ( wmat[i][j] != c ) |
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error("afo"); |
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} |
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return rank; |
} |
} |
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int nd_gauss_elim_mod(int **mat0,int *sugar,int row,int col,int md,int *colstat) |
int nd_gauss_elim_mod(int **mat0,int *sugar,int row,int col,int md,int *colstat) |
Line 4854 void nd_det(int mod,MAT f,P *rp) |
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Line 4893 void nd_det(int mod,MAT f,P *rp) |
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NDV d,s,mij,mjj; |
NDV d,s,mij,mjj; |
ND u; |
ND u; |
NMV nmv; |
NMV nmv; |
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UINT *bound; |
PGeoBucket bucket; |
PGeoBucket bucket; |
struct order_spec *ord; |
struct order_spec *ord; |
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Line 4871 void nd_det(int mod,MAT f,P *rp) |
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Line 4911 void nd_det(int mod,MAT f,P *rp) |
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e = getdeg(tv->v,(P)m[i][j]); |
e = getdeg(tv->v,(P)m[i][j]); |
max = MAX(e,max); |
max = MAX(e,max); |
} |
} |
nd_setup_parameters(nvar,1024); |
nd_setup_parameters(nvar,max); |
dm = (NDV **)almat_pointer(n,n); |
dm = (NDV **)almat_pointer(n,n); |
for ( i = 0, max = 0; i < n; i++ ) |
for ( i = 0, max = 0; i < n; i++ ) |
for ( j = 0; j < n; j++ ) { |
for ( j = 0; j < n; j++ ) { |
Line 4905 void nd_det(int mod,MAT f,P *rp) |
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Line 4945 void nd_det(int mod,MAT f,P *rp) |
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} |
} |
sgn = -sgn; |
sgn = -sgn; |
} |
} |
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bound = nd_det_compute_bound(dm,n,j); |
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if ( ndl_check_bound(bound,bound) ) |
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nd_det_reconstruct(dm,n,j,d); |
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for ( i = j+1, mj = dm[j], mjj = mj[j]; i < n; i++ ) { |
for ( i = j+1, mj = dm[j], mjj = mj[j]; i < n; i++ ) { |
if ( DP_Print ) fprintf(stderr," i=%d\n ",i); |
/* if ( DP_Print ) fprintf(stderr," i=%d\n ",i); */ |
mi = dm[i]; mij = mi[j]; |
mi = dm[i]; mij = mi[j]; |
if ( mod ) |
if ( mod ) |
ndv_mul_c(mod,mij,mod-1); |
ndv_mul_c(mod,mij,mod-1); |
else |
else |
ndv_mul_c_q(mij,mone); |
ndv_mul_c_q(mij,mone); |
for ( k = j+1; k < n; k++ ) { |
for ( k = j+1; k < n; k++ ) { |
if ( DP_Print ) fprintf(stderr,"k=%d ",k); |
/* if ( DP_Print ) fprintf(stderr,"k=%d ",k); */ |
bucket = create_pbucket(); |
bucket = create_pbucket(); |
if ( mi[k] ) { |
if ( mi[k] ) { |
nmv = BDY(mjj); len = LEN(mjj); |
nmv = BDY(mjj); len = LEN(mjj); |
Line 4932 void nd_det(int mod,MAT f,P *rp) |
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Line 4976 void nd_det(int mod,MAT f,P *rp) |
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u = nd_quo(mod,bucket,d); |
u = nd_quo(mod,bucket,d); |
mi[k] = ndtondv(mod,u); |
mi[k] = ndtondv(mod,u); |
} |
} |
if ( DP_Print ) fprintf(stderr,"\n",k); |
/* if ( DP_Print ) fprintf(stderr,"\n",k); */ |
} |
} |
d = mjj; |
d = mjj; |
} |
} |
Line 4992 ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d) |
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Line 5036 ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d) |
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return r; |
return r; |
} |
} |
} |
} |
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} |
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void nd_det_reconstruct(NDV **dm,int n,int j,NDV d) |
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{ |
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int i,obpe,oadv,h,k,l; |
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static NM prev_nm_free_list; |
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EPOS oepos; |
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obpe = nd_bpe; |
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oadv = nmv_adv; |
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oepos = nd_epos; |
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if ( obpe < 2 ) nd_bpe = 2; |
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else if ( obpe < 3 ) nd_bpe = 3; |
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else if ( obpe < 4 ) nd_bpe = 4; |
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else if ( obpe < 5 ) nd_bpe = 5; |
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else if ( obpe < 6 ) nd_bpe = 6; |
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else if ( obpe < 8 ) nd_bpe = 8; |
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else if ( obpe < 10 ) nd_bpe = 10; |
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else if ( obpe < 16 ) nd_bpe = 16; |
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else if ( obpe < 32 ) nd_bpe = 32; |
|
else error("nd_det_reconstruct : exponent too large"); |
|
|
|
nd_setup_parameters(nd_nvar,0); |
|
prev_nm_free_list = _nm_free_list; |
|
_nm_free_list = 0; |
|
for ( k = j; k < n; k++ ) |
|
for (l = j; l < n; l++ ) |
|
ndv_realloc(dm[k][l],obpe,oadv,oepos); |
|
ndv_realloc(d,obpe,oadv,oepos); |
|
prev_nm_free_list = 0; |
|
#if 0 |
|
GC_gcollect(); |
|
#endif |
|
} |
|
|
|
UINT *nd_det_compute_bound(NDV **dm,int n,int j) |
|
{ |
|
UINT *d0,*d1,*d,*t,*r; |
|
int k,l; |
|
|
|
d0 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
|
d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
|
for ( k = 0; k < nd_wpd; k++ ) d0[k] = 0; |
|
for ( k = j; k < n; k++ ) |
|
for ( l = j; l < n; l++ ) |
|
if ( dm[k][l] ) { |
|
d = ndv_compute_bound(dm[k][l]); |
|
ndl_lcm(d,d0,d1); |
|
t = d1; d1 = d0; d0 = t; |
|
} |
|
r = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
|
for ( k = 0; k < nd_wpd; k++ ) r[k] = d0[k]; |
|
return r; |
} |
} |