OpenXM_contrib2/asir2000/engine/nd.c - diff

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Diff for /OpenXM_contrib2/asir2000/engine/nd.c between version 1.102 and 1.108

version 1.102, 2004/09/15 01:43:33

version 1.108, 2004/09/21 02:43:11

Line 1

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.101 2004/09/14 10:00:26 noro Exp $ */

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.107 2004/09/21 02:34:12 noro Exp $ */

#include "nd.h"

Line 8 NM _nm_free_list;

ND _nd_free_list;

ND_pairs _ndp_free_list;

#if 0

static int ndv_alloc;

#endif

#if 1

static int nd_f4_nsp=0x7fffffff;

#else

Line 1285 again:

Line 1287 again:

d = ndvtond(0,r);

stat = nd_nf(0,d,nd_ps,0,0,&nf);

if ( !stat ) {

nd_reconstruct(0,0,0);

nd_reconstruct(0,0);

goto again;

} else if ( nf ) return 0;

if ( DP_Print ) { printf("."); fflush(stdout); }

Line 1595 again:

Line 1597 again:

stat = nd_sp(m,0,l,&h);

if ( !stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(m,0,d);

d = nd_reconstruct(0,d);

goto again;

}

#if USE_GEOBUCKET

Line 1605 again:

Line 1607 again:

#endif

if ( !stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(m,0,d);

d = nd_reconstruct(0,d);

goto again;

} else if ( nf ) {

if ( checkonly ) return 0;

Line 1705 again:

Line 1707 again:

stat = nd_sp(m,0,l,&h);

if ( !stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(m,1,d);

d = nd_reconstruct(1,d);

goto again;

}

#if USE_GEOBUCKET

Line 1715 again:

Line 1717 again:

#endif

if ( !stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(m,1,d);

d = nd_reconstruct(1,d);

goto again;

} else if ( nf ) {

if ( nd_demand ) {

Line 1726 again:

Line 1728 again:

if ( !nfq ) {

if ( !nd_sp(0,1,l,&h) || !nd_nf(0,h,nd_ps_trace,!Top,0,&nfq) ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(m,1,d);

d = nd_reconstruct(1,d);

goto again;

}

Line 1790 NODE ndv_reduceall(int m,NODE f)

Line 1792 NODE ndv_reduceall(int m,NODE f)

g = nd_separate_head(g,&head);

stat = nd_nf(m,g,nd_ps,1,&dn,&nf);

if ( !stat )

nd_reconstruct(m,0,0);

nd_reconstruct(0,0);

else {

if ( DP_Print ) { printf("."); fflush(stdout); }

if ( !m ) {

Line 2186 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

Line 2188 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

if ( !m && Demand ) nd_demand = 1;

else nd_demand = 0;

#if 0

ndv_alloc = 0;

#endif

get_vars((Obj)f,&fv); pltovl(v,&vv);

for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );

switch ( ord->id ) {

Line 2224 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

Line 2228 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

}

if ( r0 ) NEXT(r) = 0;

MKLIST(*rp,r0);

#if 0

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

#endif

}

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

Line 2789 void nd_setup_parameters(int nvar,int max) {

Line 2795 void nd_setup_parameters(int nvar,int max) {

nd_work_vector = (int *)REALLOC(nd_work_vector,nd_nvar*sizeof(int));

}

ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

ND_pairs nd_reconstruct(int trace,ND_pairs d)

{

int i,obpe,oadv,h;

static NM prev_nm_free_list;

Line 3196 ND ndv_mul_nm(int mod,NM m0,NDV p)

Line 3202 ND ndv_mul_nm(int mod,NM m0,NDV p)

}

ND nd_quo(int mod,ND p,NDV d)

ND nd_quo(int mod,PGeoBucket bucket,NDV d)

{

NM mq0,mq;

NMV tm;

Q q;

int i,nv,sg,c,c1,c2;

int i,nv,sg,c,c1,c2,hindex;

ND t,r;

ND p,t,r;

N tnm;

if ( !p ) return 0;

else {

nv = NV(p);

nv = NV(d);

sg = SG(p);

mq0 = 0;

tm = (NMV)ALLOCA(nmv_adv);

while ( p ) {

while ( 1 ) {

hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket);

if ( hindex < 0 ) break;

p = bucket->body[hindex];

NEXTNM(mq0,mq);

ndl_sub(HDL(p),HDL(d),DL(mq));

ndl_copy(DL(mq),DL(tm));

Line 3219 ND nd_quo(int mod,ND p,NDV d)

Line 3228 ND nd_quo(int mod,ND p,NDV d)

DMAR(c1,c2,0,mod,c); CM(mq) = c;

CM(tm) = mod-c;

} else {

divq(HCQ(p),HCQ(d),&CQ(mq));

divsn(NM(HCQ(p)),NM(HCQ(d)),&tnm);

NTOQ(tnm,SGN(HCQ(p))*SGN(HCQ(d)),CQ(mq));

chsgnq(CQ(mq),&CQ(tm));

}

t = ndv_mul_nmv_trunc(mod,tm,d,HDL(d));

p = nd_add(mod,p,t);

bucket->body[hindex] = nd_remove_head(p);

t = nd_remove_head(t);

add_pbucket(mod,bucket,t);

}

NEXT(mq) = 0;

if ( !mq0 )

for ( i = 0, mq = mq0; mq; mq = NEXT(mq), i++ );

r = 0;

MKND(nv,mq0,i,r);

else {

/* XXX */

NEXT(mq) = 0;

SG(r) = sg-SG(d);

for ( i = 0, mq = mq0; mq; mq = NEXT(mq), i++ );

MKND(nv,mq0,i,r);

/* XXX */

SG(r) = HTD(r);

}

return r;

}

Line 3456 NDV ndtondv(int mod,ND p)

Line 3472 NDV ndtondv(int mod,ND p)

m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(len*nmv_adv);

else

m0 = m = MALLOC(len*nmv_adv);

#if 0

ndv_alloc += nmv_adv*len;

#endif

for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) {

ndl_copy(DL(t),DL(m));

CQ(m) = CQ(t);

Line 3727 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec

Line 3745 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec

stat = nd_nf(m,nd,nd_ps,1,0,&nf);

if ( !stat ) {

nd_psn++;

nd_reconstruct(m,0,0);

nd_reconstruct(0,0);

nd_psn--;

} else

break;

Line 3751 int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r)

Line 3769 int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r)

return i;

}

int ndv_to_vect(int mod,UINT *s0,int n,NDV d,UINT *r)

int nd_to_vect_q(UINT *s0,int n,ND d,Q *r)

{

NMV m;

NM m;

UINT *t,*s;

int i,j,len;

int i;

for ( i = 0; i < n; i++ ) r[i] = 0;

m = BDY(d);

for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) {

len = LEN(d);

for ( i = j = 0, s = s0; j < len; j++, NMV_ADV(m)) {

t = DL(m);

for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );

r[i] = CM(m);

r[i] = CQ(m);

}

for ( i = 0; !r[i]; i++ );

return i;

Line 3841 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0

Line 3857 IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0

}

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

{

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

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

IndArray ivect;

unsigned char *ivc;

unsigned short *ivs;

unsigned int *ivi;

NDV redv;

NMV mr;

NODE rp;

int maxrs;

maxrs = 0;

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];

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

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

chsgnq(cs,&mcs);

svect[k] = 0; prev = k;

switch ( ivect->width ) {

case 1:

ivc = ivect->index.c;

for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {

pos = prev+ivc[j]; prev = pos;

mulq(svect[pos],cr,&c1); mulq(CQ(mr),mcs,&c2); addq(c1,c2,&svect[pos]);

}

break;

case 2:

ivs = ivect->index.s;

for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {

pos = prev+ivs[j]; prev = pos;

mulq(svect[pos],cr,&c1); mulq(CQ(mr),mcs,&c2); addq(c1,c2,&svect[pos]);

}

break;

case 4:

ivi = ivect->index.i;

for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {

pos = prev+ivi[j]; prev = pos;

mulq(svect[pos],cr,&c1); mulq(CQ(mr),mcs,&c2); addq(c1,c2,&svect[pos]);

}

break;

}

return maxrs;

}

int ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred)

{

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

Line 3964 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea

Line 4032 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea

if ( !len ) return 0;

else {

mr0 = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len);

#if 0

ndv_alloc += nmv_adv*len;

#endif

mr = mr0;

p = s0vect;

for ( j = k = 0; j < col; j++, p += nd_wpd )

Line 3978 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea

Line 4048 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea

}

NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead,UINT *s0vect)

{

int j,k,len;

UINT *p;

Q c;

NDV r;

NMV mr0,mr;

for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++;

if ( !len ) return 0;

else {

mr0 = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len);

#if 0

ndv_alloc += nmv_adv*len;

#endif

mr = mr0;

p = s0vect;

for ( j = k = 0; j < col; j++, p += nd_wpd )

if ( !rhead[j] ) {

if ( c = vect[k++] ) {

ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr);

}

MKNDV(nd_nvar,mr0,len,r);

return r;

}

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

{

ND_pairs t;

Line 4059 NODE nd_f4(int m)

Line 4157 NODE nd_f4(int m)

if ( !m )

error("nd_f4 : not implemented");

#if 0

ndv_alloc = 0;

#endif

g = 0; d = 0;

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

d = update_pairs(d,g,i);

Line 4074 NODE nd_f4(int m)

Line 4174 NODE nd_f4(int m)

if ( !stat ) {

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

NEXT(t) = d; d = l;

d = nd_reconstruct(m,0,d);

d = nd_reconstruct(0,d);

continue;

}

if ( bucket->m < 0 ) continue;

Line 4082 NODE nd_f4(int m)

Line 4182 NODE nd_f4(int m)

if ( !col ) {

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

NEXT(t) = d; d = l;

d = nd_reconstruct(m,0,d);

d = nd_reconstruct(0,d);

continue;

}

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

Line 4103 NODE nd_f4(int m)

Line 4203 NODE nd_f4(int m)

}

for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps[(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,UINT *s0vect,int col,NODE rp0)

{

IndArray *imat;

int nsp,nred,spcol,sprow,a;

int nsp,nred,i;

int *rhead;

int i,j,k,l,rank;

NODE r0,rp;

NODE rp,r0,r;

ND_pairs sp;

ND spol;

int **spmat;

UINT *svect,*v;

int *colstat;

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

NM_ind_pair *rvect;

int maxrs;

int *spsugar;

get_eg(&eg0);

for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ );

nred = length(rp0); spcol = col-nred;

nred = length(rp0);

imat = (IndArray *)ALLOCA(nred*sizeof(IndArray));

rhead = (int *)ALLOCA(col*sizeof(int));

for ( i = 0; i < col; i++ ) rhead[i] = 0;

Line 4138 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col

Line 4231 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col

imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rvect[i]);

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

}

if ( m )

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

else

r0 = nd_f4_red_q_main(sp0,nsp,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)

{

int spcol,sprow,a;

int i,j,k,l,rank;

NODE r0,r;

ND_pairs sp;

ND spol;

int **spmat;

UINT *svect,*v;

int *colstat;

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

int maxrs;

int *spsugar;

spcol = col-nred;

get_eg(&eg0);

/* elimination (1st step) */

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

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

Line 4194 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col

Line 4310 NODE nd_f4_red(int m,ND_pairs sp0,UINT *s0vect,int col

return r0;

}

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

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

{

int spcol,sprow,a;

int i,j,k,l,rank;

NODE r0,r;

ND_pairs sp;

ND spol;

Q **spmat;

Q *svect,*v;

int *colstat;

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

int maxrs;

int *spsugar;

spcol = col-nred;

get_eg(&eg0);

/* elimination (1st step) */

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

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

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

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

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

if ( !spol ) continue;

nd_to_vect_q(s0vect,col,spol,svect);

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

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

if ( i < col ) {

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

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

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

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

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=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fflush(asir_out);

}

/* free index arrays */

for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c);

/* elimination (2nd step) */

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

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

r0 = 0;

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

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

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

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

init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);

if ( DP_Print ) {

fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",

nsp,nred,sprow,spcol,rank);

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

}

return r0;

}

FILE *nd_write,*nd_read;

void nd_send_int(int a) {

Line 4257 NDV nd_recv_ndv()

Line 4439 NDV nd_recv_ndv()

if ( !len ) return 0;

else {

m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len);

#if 0

ndv_alloc += len*nmv_adv;

#endif

for ( i = 0; i < len; i++, NMV_ADV(m) ) {

CM(m) = nd_recv_int();

nd_recv_intarray(DL(m),nd_wpd);

Line 4448 void nd_exec_f4_red_dist()

Line 4632 void nd_exec_f4_red_dist()

fflush(nd_write);

}

int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int col,int *colstat)

{

int mod,i,j,t;

int **wmat;

/* XXX */

mod = 99999989;

wmat = (int **)ALLOCA(row*sizeof(int *));

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

wmat[i] = (int *)ALLOCA(col*sizeof(int));

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

if ( mat0[i][j] ) {

t = rem(NM(mat0[i][j]),mod);

if ( SGN(mat0[i][j]) < 0 ) t = mod-t;

wmat[i][j] = t;

} else

wmat[i][j] = 0;

}

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

}

int nd_gauss_elim_mod(int **mat0,int *sugar,int row,int col,int md,int *colstat)

{

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

Line 4695 void nd_det(int mod,MAT f,P *rp)

Line 4901 void nd_det(int mod,MAT f,P *rp)

if ( mod ) ndv_mod(mod,d);

chsgnq(ONE,&mone);

for ( j = 0, sgn = 1; j < n; j++ ) {

if ( DP_Print ) fprintf(stderr,"j=%d\n",j);

for ( i = j; i < n && !dm[i][j]; i++ );

if ( i == n ) {

*rp = 0;

Line 4717 void nd_det(int mod,MAT f,P *rp)

Line 4924 void nd_det(int mod,MAT f,P *rp)

sgn = -sgn;

}

for ( i = j+1, mj = dm[j], mjj = mj[j]; i < n; i++ ) {

if ( DP_Print ) fprintf(stderr," i=%d\n ",i);

mi = dm[i]; mij = mi[j];

if ( mod )

ndv_mul_c(mod,mij,mod-1);

else

ndv_mul_c_q(mij,mone);

for ( k = j+1; k < n; k++ ) {

if ( DP_Print ) fprintf(stderr,"k=%d ",k);

bucket = create_pbucket();

if ( mi[k] )

if ( mi[k] ) {

nmv = BDY(mjj); len = LEN(mjj);

for ( a = 0; a < len; a++, NMV_ADV(nmv) ) {

u = ndv_mul_nmv_trunc(mod,nmv,mi[k],DL(BDY(d)));

add_pbucket(mod,bucket,u);

}

if ( mj[k] && mij ) {

nmv = BDY(mij); len = LEN(mij);

for ( a = 0; a < len; a++, NMV_ADV(nmv) ) {

Line 4737 void nd_det(int mod,MAT f,P *rp)

Line 4947 void nd_det(int mod,MAT f,P *rp)

add_pbucket(mod,bucket,u);

}

u = normalize_pbucket(mod,bucket);

u = nd_quo(mod,bucket,d);

u = nd_quo(mod,u,d);

mi[k] = ndtondv(mod,u);

}

if ( DP_Print ) fprintf(stderr,"\n",k);

}

d = mjj;

}

Line 4776 ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d)

Line 4986 ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d)

if ( ndl_reducible(DL(tnm),d) ) {

NEXTNM(mr0,mr);

c1 = CM(m); DMAR(c1,c,0,mod,c2); CM(mr) = c2;

ndl_add(DL(m),d0,DL(mr));

ndl_copy(DL(tnm),DL(mr));

}

} else {

Line 4786 ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d)

Line 4996 ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d)

if ( ndl_reducible(DL(tnm),d) ) {

NEXTNM(mr0,mr);

mulq(CQ(m),q,&CQ(mr));

ndl_add(DL(m),d0,DL(mr));

ndl_copy(DL(tnm),DL(mr));

}

Line 4794 ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d)

Line 5004 ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d)

return 0;

else {

NEXT(mr) = 0;

for ( len = 0, mr = mr0; mr; mr = NEXT(mr), len++ );

MKND(NV(p),mr0,len,r);

SG(r) = SG(p) + TD(d0);

return r;

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