OpenXM_contrib2/asir2000/engine/nd.c - diff

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Diff for /OpenXM_contrib2/asir2000/engine/nd.c between version 1.131 and 1.139

version 1.131, 2006/06/05 01:01:41

version 1.139, 2006/06/12 00:46:48

Line 1

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.130 2006/05/30 07:35:31 noro Exp $ */

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.138 2006/06/11 11:41:15 noro Exp $ */

#include "nd.h"

Line 1592 NODE nd_gb(int m,int ishomo,int checkonly)

NDV nfv;

Q q,num,den;

union oNDC dn;

int diag_count = 0;

g = 0; d = 0;

for ( i = 0; i < nd_psn; i++ ) {

Line 1640 again:

Line 1639 again:

}

nfv = ndtondv(m,nf); nd_free(nf);

nh = ndv_newps(m,nfv,0);

if ( ishomo && ++diag_count == diag_period ) {

diag_count = 0;

stat = do_diagonalize(sugar,m);

if ( !stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(0,d);

goto again;

}

d = update_pairs(d,g,nh);

g = update_base(g,nh);

FREENDP(l);

Line 2218 void ndv_setup(int mod,int trace,NODE f,int dont_sort)

Line 2208 void ndv_setup(int mod,int trace,NODE f,int dont_sort)

for ( nd_psn = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) nd_psn++;

w = (NDV *)ALLOCA(nd_psn*sizeof(NDV));

for ( i = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) w[i++] = BDY(s);

if ( !dont_sort )

if ( !dont_sort ) {

qsort(w,nd_psn,sizeof(NDV),

/* XXX heuristic */

(int (*)(const void *,const void *))ndv_compare);

if ( !nd_ord->id && (nd_ord->ord.simple<2) )

qsort(w,nd_psn,sizeof(NDV),

(int (*)(const void *,const void *))ndv_compare_rev);

else

qsort(w,nd_psn,sizeof(NDV),

(int (*)(const void *,const void *))ndv_compare);

}

nd_pslen = 2*nd_psn;

nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV));

nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV));

Line 2520 void nd_gr_postproc(LIST f,LIST v,int m,struct order_s

Line 2516 void nd_gr_postproc(LIST f,LIST v,int m,struct order_s

MKLIST(*rp,r0);

}

void nd_gr_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp)

void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp)

{

VL tv,fv,vv,vc,av;

NODE fd,fd0,in0,in,r,r0,t,s,cand,alist;

Line 2608 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

Line 2604 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

if ( Demand )

nd_demand = 1;

ndv_setup(m,1,fd0,0);

cand = nd_gb_trace(m,ishomo || homo);

cand = f4?nd_f4_trace(m):nd_gb_trace(m,ishomo || homo);

if ( !cand ) {

/* failure */

if ( trace > 1 ) { *rp = 0; return; }

Line 4178 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0

Line 4174 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0

return r;

}

int compress_array(Q *svect,Q *cvect,int n)

{

int i,j;

int ndv_reduce_vect_q(Q *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred)

for ( i = j = 0; i < n; i++ )

if ( svect[i] ) cvect[j++] = svect[i];

return j;

}

void expand_array(Q *svect,Q *cvect,int n)

{

int i,j,k,len,pos,prev;

int i,j;

for ( i = j = 0; j < n; i++ )

if ( svect[i] ) svect[i] = cvect[j++];

}

int ndv_reduce_vect_q(Q *svect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred)

{

int i,j,k,len,pos,prev,nz;

Q cs,mcs,c1,c2,cr,gcd,t;

IndArray ivect;

unsigned char *ivc;

Line 4191 int ndv_reduce_vect_q(Q *svect,int col,IndArray *imat,

Line 4203 int ndv_reduce_vect_q(Q *svect,int col,IndArray *imat,

NMV mr;

NODE rp;

int maxrs;

double hmag;

Q *cvect;

maxrs = 0;

for ( i = 0; i < col && !svect[i]; i++ );

if ( i == col ) return maxrs;

hmag = p_mag((P)svect[i])*nd_scale;

cvect = (Q *)ALLOCA(col*sizeof(Q));

for ( i = 0; i < nred; i++ ) {

ivect = imat[i];

k = ivect->head;

if ( svect[k] ) {

maxrs = MAX(maxrs,rp0[i]->sugar);

redv = nd_ps[rp0[i]->index];

redv = trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index];

len = LEN(redv); mr = BDY(redv);

igcd_cofactor(svect[k],CQ(mr),&gcd,&cs,&cr);

chsgnq(cs,&mcs);

Line 4231 int ndv_reduce_vect_q(Q *svect,int col,IndArray *imat,

Line 4249 int ndv_reduce_vect_q(Q *svect,int col,IndArray *imat,

}

break;

}

for ( j = k+1; j < col && !svect[j]; j++ );

if ( j == col ) break;

if ( hmag && ((double)p_mag((P)svect[j]) > hmag) ) {

nz = compress_array(svect,cvect,col);

removecont_array(cvect,nz);

expand_array(svect,cvect,nz);

hmag = ((double)p_mag((P)svect[j]))*nd_scale;

}

nz = compress_array(svect,cvect,col);

removecont_array(cvect,nz);

expand_array(svect,cvect,nz);

if ( DP_Print ) {

fprintf(asir_out,"-"); fflush(asir_out);

}

return maxrs;

}

Line 4437 NDV plain_vect_to_ndv_q(Q *vect,int col,UINT *s0vect)

Line 4469 NDV plain_vect_to_ndv_q(Q *vect,int col,UINT *s0vect)

}

int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket)

int nd_sp_f4(int m,int trace,ND_pairs l,PGeoBucket bucket)

{

ND_pairs t;

NODE sp0,sp;

Line 4445 int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket)

Line 4477 int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket)

ND spol;

for ( t = l; t; t = NEXT(t) ) {

stat = nd_sp(m,0,t,&spol);

stat = nd_sp(m,trace,t,&spol);

if ( !stat ) return 0;

if ( spol ) {

add_pbucket_symbolic(bucket,spol);

Line 4454 int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket)

Line 4486 int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket)

return 1;

}

int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vect,NODE *r)

int nd_symbolic_preproc(PGeoBucket bucket,int trace,UINT **s0vect,NODE *r)

{

NODE rp0,rp;

NM mul,head,s0,s;

Line 4463 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec

Line 4495 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec

UINT *s0v,*p;

NM_ind_pair pair;

ND red;

NDV *ps;

s0 = 0; rp0 = 0; col = 0;

ps = trace?nd_ps_trace:nd_ps;

while ( 1 ) {

head = remove_head_pbucket_symbolic(bucket);

if ( !head ) break;

Line 4477 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec

Line 4511 int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vec

NEWNM(mul);

ndl_sub(DL(head),DL(h),DL(mul));

if ( ndl_check_bound2(index,DL(mul)) ) return 0;

sugar = TD(DL(mul))+SG(nd_ps[index]);

sugar = TD(DL(mul))+SG(ps[index]);

MKNM_ind_pair(pair,mul,index,sugar);

red = ndv_mul_nm_symbolic(mul,nd_ps[index]);

red = ndv_mul_nm_symbolic(mul,ps[index]);

add_pbucket_symbolic(bucket,nd_remove_head(red));

NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair;

}

Line 4529 NODE nd_f4(int m)

Line 4563 NODE nd_f4(int m)

l = nd_minsugarp(d,&d);

sugar = SG(l);

bucket = create_pbucket();

stat = nd_sp_f4(m,l,bucket);

stat = nd_sp_f4(m,0,l,bucket);

if ( !stat ) {

for ( t = l; NEXT(t); t = NEXT(t) );

NEXT(t) = d; d = l;

Line 4537 NODE nd_f4(int m)

Line 4571 NODE nd_f4(int m)

continue;

}

if ( bucket->m < 0 ) continue;

col = nd_symbolic_preproc(bucket,&s0vect,&rp0);

col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);

if ( !col ) {

for ( t = l; NEXT(t); t = NEXT(t) );

NEXT(t) = d; d = l;

Line 4549 NODE nd_f4(int m)

Line 4583 NODE nd_f4(int m)

fprintf(asir_out,"sugar=%d,symb=%fsec,",

sugar,eg_f4.exectime+eg_f4.gctime);

if ( 1 )

nflist = nd_f4_red(m,l,s0vect,col,rp0);

nflist = nd_f4_red(m,l,0,s0vect,col,rp0,0);

else

nflist = nd_f4_red_dist(m,l,s0vect,col,rp0);

nflist = nd_f4_red_dist(m,l,s0vect,col,rp0,0);

/* adding new bases */

for ( r = nflist; r; r = NEXT(r) ) {

nf = (NDV)BDY(r);

Line 4576 NODE nd_f4(int m)

Line 4610 NODE nd_f4(int m)

return g;

}

NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0)

NODE nd_f4_trace(int m)

{

int i,nh,stat,index;

NODE r,g;

ND_pairs d,l,l0,t;

ND spol,red;

NDV nf,redv,nfqv,nfv;

NM s0,s;

NODE rp0,srp0,nflist;

int nsp,nred,col,rank,len,k,j,a;

UINT c;

UINT **spmat;

UINT *s0vect,*svect,*p,*v;

int *colstat;

IndArray *imat;

int *rhead;

int spcol,sprow;

int sugar;

PGeoBucket bucket;

struct oEGT eg0,eg1,eg_f4;

g = 0; d = 0;

for ( i = 0; i < nd_psn; i++ ) {

d = update_pairs(d,g,i);

g = update_base(g,i);

}

while ( d ) {

get_eg(&eg0);

l = nd_minsugarp(d,&d);

sugar = SG(l);

bucket = create_pbucket();

stat = nd_sp_f4(m,0,l,bucket);

if ( !stat ) {

for ( t = l; NEXT(t); t = NEXT(t) );

NEXT(t) = d; d = l;

d = nd_reconstruct(1,d);

continue;

}

if ( bucket->m < 0 ) continue;

col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);

if ( !col ) {

for ( t = l; NEXT(t); t = NEXT(t) );

NEXT(t) = d; d = l;

d = nd_reconstruct(1,d);

continue;

}

get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);

if ( DP_Print )

fprintf(asir_out,"sugar=%d,symb=%fsec,",

sugar,eg_f4.exectime+eg_f4.gctime);

nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0);

if ( !l0 ) continue;

l = l0;

/* over Q */

bucket = create_pbucket();

stat = nd_sp_f4(0,1,l,bucket);

if ( !stat ) {

for ( t = l; NEXT(t); t = NEXT(t) );

NEXT(t) = d; d = l;

d = nd_reconstruct(1,d);

continue;

}

if ( bucket->m < 0 ) continue;

col = nd_symbolic_preproc(bucket,1,&s0vect,&rp0);

if ( !col ) {

for ( t = l; NEXT(t); t = NEXT(t) );

NEXT(t) = d; d = l;

d = nd_reconstruct(1,d);

continue;

}

nflist = nd_f4_red(0,l,1,s0vect,col,rp0,0);

/* adding new bases */

for ( r = nflist; r; r = NEXT(r) ) {

nfqv = (NDV)BDY(r);

ndv_removecont(0,nfqv);

if ( !rem(NM(HCQ(nfqv)),m) ) return 0;

if ( nd_nalg ) {

ND nf1;

nf1 = ndvtond(m,nfqv);

nd_monic(0,&nf1);

nd_removecont(0,nf1);

nfqv = ndtondv(0,nf1); nd_free(nf1);

}

nfv = ndv_dup(0,nfqv);

ndv_mod(m,nfv);

ndv_removecont(m,nfv);

nh = ndv_newps(0,nfv,nfqv);

d = update_pairs(d,g,nh);

g = update_base(g,nh);

}

for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps_trace[(int)BDY(r)];

#if 0

fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);

#endif

return g;

}

NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz)

{

IndArray *imat;

int nsp,nred,i;

int *rhead;

NODE r0,rp;

Line 4599 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col

Line 4733 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col

rhead[imat[i]->head] = 1;

}

if ( m )

r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred);

r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz);

else

r0 = nd_f4_red_q_main(sp0,nsp,s0vect,col,rvect,rhead,imat,nred);

r0 = nd_f4_red_q_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred);

return r0;

}

NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,

NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred)

NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz)

{

int spcol,sprow,a;

int i,j,k,l,rank;

Line 4619 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

Line 4753 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

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);

Line 4626 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

Line 4761 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

spmat = (int **)ALLOCA(nsp*sizeof(UINT *));

svect = (UINT *)ALLOCA(col*sizeof(UINT));

spsugar = (int *)ALLOCA(nsp*sizeof(UINT));

spactive = !nz?0:(ND_pairs *)ALLOCA(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;

Line 4640 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

Line 4776 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

for ( j = k = 0; j < col; j++ )

if ( !rhead[j] ) v[k++] = svect[j];

spsugar[sprow] = MAX(maxrs,SG(spol));

if ( nz )

spactive[sprow] = sp;

sprow++;

}

nd_free(spol);

Line 4657 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

Line 4795 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

if ( m == -1 )

rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat);

else

rank = nd_gauss_elim_mod(spmat,spsugar,sprow,spcol,m,colstat);

rank = nd_gauss_elim_mod(spmat,spsugar,spactive,sprow,spcol,m,colstat);

r0 = 0;

for ( i = 0; i < rank; i++ ) {

NEXTNODE(r0,r); BDY(r) =

Line 4666 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

Line 4804 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

GC_free(spmat[i]);

}

if ( r0 ) NEXT(r) = 0;

for ( ; i < sprow; i++ ) GC_free(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);

Line 4675 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

Line 4814 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

nsp,nred,sprow,spcol,rank);

fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);

}

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;

}

#if 0

#if 1

NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vect,int col,

NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col,

NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred)

{

int spcol,sprow,a;

Line 4693 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec

Line 4840 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec

struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;

int maxrs;

int *spsugar;

pointer *w;

spcol = col-nred;

get_eg(&eg0);

Line 4701 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec

Line 4849 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec

svect = (Q *)ALLOCA(col*sizeof(Q));

spsugar = (int *)ALLOCA(nsp*sizeof(Q));

for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {

nd_sp(0,0,sp,&spol);

nd_sp(0,trace,sp,&spol);

if ( !spol ) continue;

nd_to_vect_q(s0vect,col,spol,svect);

maxrs = ndv_reduce_vect_q(svect,col,imat,rvect,nred);

maxrs = ndv_reduce_vect_q(svect,trace,col,imat,rvect,nred);

for ( i = 0; i < col; i++ ) if ( svect[i] ) break;

if ( i < col ) {

spmat[sprow] = v = (Q *)MALLOC(spcol*sizeof(Q));

Line 4726 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec

Line 4874 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vec

/* elimination (2nd step) */

colstat = (int *)ALLOCA(spcol*sizeof(int));

rank = nd_gauss_elim_q(spmat,spsugar,sprow,spcol,colstat);

r0 = 0;

w = (pointer *)ALLOCA(rank*sizeof(pointer));

for ( i = 0; i < rank; i++ ) {

NEXTNODE(r0,r); BDY(r) =

w[rank-i-1] = (pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect);

(pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect);

SG((NDV)w[rank-i-1]) = spsugar[i];

SG((NDV)BDY(r)) = spsugar[i];

/* GC_free(spmat[i]); */

}

#if 0

qsort(w,rank,sizeof(NDV),

(int (*)(const void *,const void *))ndv_compare);

#endif

r0 = 0;

for ( i = 0; i < rank; i++ ) {

NEXTNODE(r0,r); BDY(r) = w[i];

}

if ( r0 ) NEXT(r) = 0;

/* for ( ; i < sprow; i++ ) GC_free(spmat[i]); */

Line 4898 int ox_exec_f4_red(Q proc)

Line 5053 int ox_exec_f4_red(Q proc)

return s;

}

NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0)

NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0,ND_pairs *nz)

{

int nsp,nred;

int i,rank,s;

Line 5052 void nd_exec_f4_red_dist()

Line 5207 void nd_exec_f4_red_dist()

if ( m == -1 )

rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat);

else

rank = nd_gauss_elim_mod(spmat,spsugar,sprow,spcol,m,colstat);

rank = nd_gauss_elim_mod(spmat,spsugar,0,sprow,spcol,m,colstat);

nd_send_int(rank);

for ( i = 0; i < rank; i++ ) {

nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect);

Line 5083 int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int co

Line 5238 int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int co

wmat[i][j] = 0;

}

rank0 = nd_gauss_elim_mod(wmat,sugar,row,col,mod,colstat);

rank0 = nd_gauss_elim_mod(wmat,sugar,0,row,col,mod,colstat);

NEWMAT(m); m->row = row; m->col = col; m->body = (pointer **)mat0;

rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci);

if ( rank != rank0 )

Line 5113 int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int co

Line 5268 int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int co

return rank;

}

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,ND_pairs *spactive,int row,int col,int md,int *colstat)

{

int i,j,k,l,inv,a,rank,s;

unsigned int *t,*pivot,*pk;

unsigned int **mat;

ND_pairs pair;

mat = (unsigned int **)mat0;

for ( rank = 0, j = 0; j < col; j++ ) {

Line 5134 int nd_gauss_elim_mod(int **mat0,int *sugar,int row,in

Line 5290 int nd_gauss_elim_mod(int **mat0,int *sugar,int row,in

if ( i != rank ) {

t = mat[i]; mat[i] = mat[rank]; mat[rank] = t;

s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s;

if ( spactive ) {

pair = spactive[i]; spactive[i] = spactive[rank];

spactive[rank] = pair;

}

pivot = mat[rank];

s = sugar[rank];

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