OpenXM_contrib2/asir2000/builtin/dp.c - diff

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Diff for /OpenXM_contrib2/asir2000/builtin/dp.c between version 1.82 and 1.94

version 1.82, 2010/05/01 02:17:49

version 1.94, 2015/01/13 00:54:54

Line 44

* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,

* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.

* $OpenXM: OpenXM_contrib2/asir2000/builtin/dp.c,v 1.81 2010/04/16 07:13:42 noro Exp $

* $OpenXM: OpenXM_contrib2/asir2000/builtin/dp.c,v 1.93 2014/10/10 09:02:24 noro Exp $

#include "ca.h"

#include "base.h"

Line 56 extern int dp_order_pair_length;

extern struct order_pair *dp_order_pair;

extern struct order_spec *dp_current_spec;

extern struct modorder_spec *dp_current_modspec;

extern int nd_rref2;

int do_weyl;

Line 96 void Pdp_nf_f(),Pdp_weyl_nf_f();

Line 97 void Pdp_nf_f(),Pdp_weyl_nf_f();

void Pdp_lnf_f();

void Pnd_gr(),Pnd_gr_trace(),Pnd_f4(),Pnd_f4_trace();

void Pnd_gr_postproc(), Pnd_weyl_gr_postproc();

void Pnd_gr_recompute_trace(), Pnd_btog();

void Pnd_weyl_gr(),Pnd_weyl_gr_trace();

void Pnd_nf();

void Pnd_nf(),Pnd_weyl_nf();

void Pdp_initial_term();

void Pdp_order();

void Pdp_inv_or_split();

Line 107 void Pdp_compute_essential_df();

Line 109 void Pdp_compute_essential_df();

void Pdp_get_denomlist();

void Pdp_symb_add();

void Pdp_mono_raddec();

void Pdp_mono_reduce();

void Pdp_rref2();

LIST dp_initial_term();

LIST dp_order();

void parse_gr_option(LIST f,NODE opt,LIST *v,Num *homo,

int *modular,struct order_spec **ord);

NODE dp_inv_or_split(NODE gb,DP f,struct order_spec *spec, DP *inv);

LIST remove_zero_from_list(LIST);

Line 162 struct ftab dp_tab[] = {

Line 167 struct ftab dp_tab[] = {

{"nd_gr_trace",Pnd_gr_trace,5},

{"nd_f4_trace",Pnd_f4_trace,5},

{"nd_gr_postproc",Pnd_gr_postproc,5},

{"nd_gr_recompute_trace",Pnd_gr_recompute_trace,5},

{"nd_btog",Pnd_btog,-6},

{"nd_weyl_gr_postproc",Pnd_weyl_gr_postproc,5},

{"nd_weyl_gr",Pnd_weyl_gr,4},

{"nd_weyl_gr_trace",Pnd_weyl_gr_trace,5},

{"nd_nf",Pnd_nf,5},

{"nd_weyl_nf",Pnd_weyl_nf,5},

/* F4 algorithm */

{"dp_f4_main",Pdp_f4_main,3},

Line 267 struct ftab dp_supp_tab[] = {

Line 275 struct ftab dp_supp_tab[] = {

{"dp_compute_last_t",Pdp_compute_last_t,5},

{"dp_compute_essential_df",Pdp_compute_essential_df,2},

{"dp_mono_raddec",Pdp_mono_raddec,2},

{"dp_mono_reduce",Pdp_mono_reduce,2},

{"dp_rref2",Pdp_rref2,2},

{0,0,0}

};

Line 1275 DP *rp;

Line 1286 DP *rp;

p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);

asir_assert(p1,O_DP,"dp_symb_add");

asir_assert(p2,O_DP,"dp_symb_add");

if ( !p1 ) { *rp = p2; return; }

else if ( !p2 ) { *rp = p1; return; }

if ( p1->nv != p2->nv )

error("dp_sumb_add : invalid input");

nv = p1->nv;

Line 2132 NODE arg;

Line 2145 NODE arg;

LIST *rp;

{

LIST f,v;

int m,find;

int m,homo,retdp;

Obj homo;

Obj val;

struct order_spec *ord;

do_weyl = 0;

nd_rref2 = 0;

asir_assert(ARG0(arg),O_LIST,"nd_f4");

asir_assert(ARG1(arg),O_LIST,"nd_f4");

asir_assert(ARG2(arg),O_N,"nd_f4");

Line 2147 LIST *rp;

Line 2161 LIST *rp;

}

m = QTOS((Q)ARG2(arg));

create_order_spec(0,ARG3(arg),&ord);

find = get_opt("homo",&homo);

homo = retdp = 0;

nd_gr(f,v,m,find&&homo,1,ord,rp);

if ( get_opt("homo",&val) && val ) homo = 1;

if ( get_opt("dp",&val) && val ) retdp = 1;

if ( get_opt("rref2",&val) && val ) nd_rref2 = 1;

nd_gr(f,v,m,homo,retdp,1,ord,rp);

}

void Pnd_gr(arg,rp)

Line 2156 NODE arg;

Line 2173 NODE arg;

LIST *rp;

{

LIST f,v;

int m,find;

int m,homo,retdp;

Obj homo;

Obj val;

struct order_spec *ord;

do_weyl = 0;

Line 2171 LIST *rp;

Line 2188 LIST *rp;

}

m = QTOS((Q)ARG2(arg));

create_order_spec(0,ARG3(arg),&ord);

find = get_opt("homo",&homo);

homo = retdp = 0;

nd_gr(f,v,m,find&&homo,0,ord,rp);

if ( get_opt("homo",&val) && val ) homo = 1;

if ( get_opt("dp",&val) && val ) retdp = 1;

nd_gr(f,v,m,homo,retdp,0,ord,rp);

}

void Pnd_gr_postproc(arg,rp)

Line 2198 LIST *rp;

Line 2217 LIST *rp;

nd_gr_postproc(f,v,m,ord,do_check,rp);

}

void Pnd_gr_recompute_trace(arg,rp)

NODE arg;

LIST *rp;

{

LIST f,v,tlist;

int m;

struct order_spec *ord;

do_weyl = 0;

asir_assert(ARG0(arg),O_LIST,"nd_gr_recompute_trace");

asir_assert(ARG1(arg),O_LIST,"nd_gr_recompute_trace");

asir_assert(ARG2(arg),O_N,"nd_gr_recompute_trace");

f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);

m = QTOS((Q)ARG2(arg));

create_order_spec(0,ARG3(arg),&ord);

tlist = (LIST)ARG4(arg);

nd_gr_recompute_trace(f,v,m,ord,tlist,rp);

}

Obj nd_btog_one(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,int pos);

Obj nd_btog(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist);

void Pnd_btog(arg,rp)

NODE arg;

Obj *rp;

{

LIST f,v,tlist;

int m,ac,pos;

struct order_spec *ord;

do_weyl = 0;

asir_assert(ARG0(arg),O_LIST,"nd_btog");

asir_assert(ARG1(arg),O_LIST,"nd_btog");

asir_assert(ARG2(arg),O_N,"nd_btog");

f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);

m = QTOS((Q)ARG2(arg));

create_order_spec(0,ARG3(arg),&ord);

tlist = (LIST)ARG4(arg);

if ( (ac = argc(arg)) == 6 ) {

asir_assert(ARG5(arg),O_N,"nd_btog");

pos = QTOS((Q)ARG5(arg));

*rp = nd_btog_one(f,v,m,ord,tlist,pos);

} else if ( ac == 5 )

*rp = nd_btog(f,v,m,ord,tlist);

else

error("nd_btog : argument mismatch");

}

void Pnd_weyl_gr_postproc(arg,rp)

NODE arg;

LIST *rp;

Line 2275 NODE arg;

Line 2342 NODE arg;

LIST *rp;

{

LIST f,v;

int m,find;

int m,homo,retdp;

Obj homo;

Obj val;

struct order_spec *ord;

do_weyl = 1;

Line 2290 LIST *rp;

Line 2357 LIST *rp;

}

m = QTOS((Q)ARG2(arg));

create_order_spec(0,ARG3(arg),&ord);

find = get_opt("homo",&homo);

homo = retdp = 0;

nd_gr(f,v,m,find&&homo,0,ord,rp);

if ( get_opt("homo",&val) && val ) homo = 1;

if ( get_opt("dp",&val) && val ) retdp = 1;

nd_gr(f,v,m,homo,retdp,0,ord,rp);

do_weyl = 0;

}

Line 2320 LIST *rp;

Line 2389 LIST *rp;

do_weyl = 0;

}

void Pnd_nf(arg,rp)

void Pnd_nf(NODE arg,Obj *rp)

NODE arg;

P *rp;

{

P f;

Obj f;

LIST g,v;

struct order_spec *ord;

do_weyl = 0;

asir_assert(ARG0(arg),O_P,"nd_nf");

asir_assert(ARG1(arg),O_LIST,"nd_nf");

asir_assert(ARG2(arg),O_LIST,"nd_nf");

asir_assert(ARG4(arg),O_N,"nd_nf");

f = (P)ARG0(arg);

f = (Obj)ARG0(arg);

g = (LIST)ARG1(arg); g = remove_zero_from_list(g);

if ( !BDY(g) ) {

*rp = f; return;

Line 2343 P *rp;

Line 2409 P *rp;

nd_nf_p(f,g,v,QTOS((Q)ARG4(arg)),ord,rp);

}

void Pnd_weyl_nf(NODE arg,Obj *rp)

{

Obj f;

LIST g,v;

struct order_spec *ord;

do_weyl = 1;

asir_assert(ARG1(arg),O_LIST,"nd_weyl_nf");

asir_assert(ARG2(arg),O_LIST,"nd_weyl_nf");

asir_assert(ARG4(arg),O_N,"nd_weyl_nf");

f = (Obj)ARG0(arg);

g = (LIST)ARG1(arg); g = remove_zero_from_list(g);

if ( !BDY(g) ) {

*rp = f; return;

}

v = (LIST)ARG2(arg);

create_order_spec(0,ARG3(arg),&ord);

nd_nf_p(f,g,v,QTOS((Q)ARG4(arg)),ord,rp);

}

/* for Weyl algebra */

void Pdp_weyl_gr_main(arg,rp)

Line 2558 VECT *rp;

Line 2644 VECT *rp;

}

VECT current_top_weight_vector_obj;

extern Obj current_top_weight;

N *current_top_weight_vector;

extern Obj nd_top_weight;

void Pdp_set_top_weight(arg,rp)

void Pdp_set_top_weight(NODE arg,Obj *rp)

NODE arg;

VECT *rp;

{

VECT v;

int i,n;

MAT m;

Obj obj;

int i,j,n,id,row,col;

Q *mi;

NODE node;

if ( !arg )

*rp = current_top_weight_vector_obj;

*rp = current_top_weight;

else if ( !ARG0(arg) ) {

current_top_weight_vector = 0;

reset_top_weight();

current_top_weight_vector_obj = 0;

*rp = 0;

} else {

if ( OID(ARG0(arg)) != O_VECT && OID(ARG0(arg)) != O_LIST )

id = OID(ARG0(arg));

if ( id != O_VECT && id != O_MAT && id != O_LIST )

error("dp_set_top_weight : invalid argument");

if ( OID(ARG0(arg)) == O_VECT )

if ( id == O_LIST ) {

v = (VECT)ARG0(arg);

else {

node = (NODE)BDY((LIST)ARG0(arg));

n = length(node);

MKVECT(v,n);

for ( i = 0; i < n; i++, node = NEXT(node) )

BDY(v)[i] = BDY(node);

obj = v;

} else

obj = ARG0(arg);

if ( OID(obj) == O_VECT ) {

v = (VECT)obj;

for ( i = 0; i < v->len; i++ )

if ( !INT(BDY(v)[i]) || (BDY(v)[i] && SGN((Q)BDY(v)[i]) < 0) )

error("dp_set_top_weight : each element must be a non-negative integer");

} else {

m = (MAT)obj; row = m->row; col = m->col;

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

for ( j = 0, mi = (Q *)BDY(m)[i]; j < col; j++ )

if ( !INT(mi[j]) || (mi[j] && SGN((Q)mi[j]) < 0) )

error("dp_set_top_weight : each element must be a non-negative integer");

}

for ( i = 0; i < v->len; i++ )

current_top_weight = obj;

if ( !INT(BDY(v)[i]) || (BDY(v)[i] && SGN((Q)BDY(v)[i]) < 0) )

nd_top_weight = obj;

error("dp_set_top_weight : each element must be a non-negative integer");

*rp = current_top_weight;

current_top_weight_vector_obj = v;

current_top_weight_vector = (N *)MALLOC(v->len*sizeof(N));

for ( i = 0; i < v->len; i++ ) {

current_top_weight_vector[i] = !BDY(v)[i]?0:NM((Q)BDY(v)[i]);

}

*rp = current_top_weight_vector_obj;

}

Line 2614 NODE arg;

Line 2707 NODE arg;

VECT *rp;

{

VECT v;

NODE node;

int i,n;

if ( !arg )

Line 2623 VECT *rp;

Line 2717 VECT *rp;

current_weyl_weight_vector = 0;

*rp = 0;

} else {

asir_assert(ARG0(arg),O_VECT,"dp_weyl_set_weight");

if ( OID(ARG0(arg)) != O_VECT && OID(ARG0(arg)) != O_LIST )

v = (VECT)ARG0(arg);

error("dp_weyl_set_weight : invalid argument");

if ( OID(ARG0(arg)) == O_VECT )

v = (VECT)ARG0(arg);

else {

node = (NODE)BDY((LIST)ARG0(arg));

n = length(node);

MKVECT(v,n);

for ( i = 0; i < n; i++, node = NEXT(node) )

BDY(v)[i] = BDY(node);

}

current_weyl_weight_vector_obj = v;

n = v->len;

current_weyl_weight_vector = (int *)CALLOC(n,sizeof(int));

Line 2675 void Pdp_mono_raddec(NODE arg,LIST *rp)

Line 2778 void Pdp_mono_raddec(NODE arg,LIST *rp)

}

void Pdp_mono_reduce(NODE arg,LIST *rp)

{

NODE t,t0,t1,r0,r;

int i,n;

DP m;

DP *a;

t0 = BDY((LIST)ARG0(arg));

t1 = BDY((LIST)ARG1(arg));

n = length(t0);

a = (DP *)MALLOC(n*sizeof(DP));

for ( i = 0; i < n; i++, t0 = NEXT(t0) ) a[i] = (DP)BDY(t0);

for ( t = t1; t; t = NEXT(t) ) {

m = (DP)BDY(t);

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

if ( a[i] && dp_redble(a[i],m) ) a[i] = 0;

}

for ( i = n-1, r0 = 0; i >= 0; i-- )

if ( a[i] ) { NEXTNODE(r0,r); BDY(r) = a[i]; }

if ( r0 ) NEXT(r) = 0;

MKLIST(*rp,r0);

}

#define BLEN (8*sizeof(unsigned long))

void showmat2(unsigned long **a,int row,int col)

{

int i,j;

for ( i = 0; i < row; i++, putchar('\n') )

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

if ( a[i][j/BLEN] & (1L<<(j%BLEN)) ) putchar('1');

else putchar('0');

}

int rref2(unsigned long **a,int row,int col)

{

int i,j,k,l,s,wcol,wj;

unsigned long bj;

unsigned long *ai,*ak,*as,*t;

int *pivot;

wcol = (col+BLEN-1)/BLEN;

pivot = (int *)MALLOC_ATOMIC(row*sizeof(int));

i = 0;

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

wj = j/BLEN; bj = 1L<<(j%BLEN);

for ( k = i; k < row; k++ )

if ( a[k][wj] & bj ) break;

if ( k == row ) continue;

pivot[i] = j;

if ( k != i ) {

t = a[i]; a[i] = a[k]; a[k] = t;

}

ai = a[i];

for ( k = i+1; k < row; k++ ) {

ak = a[k];

if ( ak[wj] & bj ) {

for ( l = wj; l < wcol; l++ )

ak[l] ^= ai[l];

}

i++;

}

for ( k = i-1; k >= 0; k-- ) {

j = pivot[k]; wj = j/BLEN; bj = 1L<<(j%BLEN);

ak = a[k];

for ( s = 0; s < k; s++ ) {

as = a[s];

if ( as[wj] & bj ) {

for ( l = wj; l < wcol; l++ )

as[l] ^= ak[l];

}

return i;

}

void Pdp_rref2(NODE arg,VECT *rp)

{

VECT f,term,ret;

int row,col,wcol,size,nv,i,j,rank,td;

unsigned long **mat;

unsigned long *v;

DL d;

DL *t;

DP dp;

MP m,m0;

f = (VECT)ARG0(arg);

row = f->len;

term = (VECT)ARG1(arg);

col = term->len;

mat = (unsigned long **)MALLOC(row*sizeof(unsigned long *));

size = sizeof(unsigned long)*((col+BLEN-1)/BLEN);

nv = ((DP)term->body[0])->nv;

t = (DL *)MALLOC(col*sizeof(DL));

for ( i = 0; i < col; i++ ) t[i] = BDY((DP)BDY(term)[i])->dl;

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

v = mat[i] = (unsigned long *)MALLOC_ATOMIC_IGNORE_OFF_PAGE(size);

bzero(v,size);

for ( j = 0, m = BDY((DP)BDY(f)[i]); m; m = NEXT(m) ) {

d = m->dl;

for ( ; !dl_equal(nv,d,t[j]); j++ );

v[j/BLEN] |= 1L <<(j%BLEN);

}

rank = rref2(mat,row,col);

MKVECT(ret,rank);

*rp = ret;

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

v = mat[i];

m0 = 0;

td = 0;

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

if ( v[j/BLEN] & (1L<<(j%BLEN)) ) {

NEXTMP(m0,m);

m->dl = t[j];

m->c = (P)ONE;

td = MAX(td,m->dl->td);

}

NEXT(m) = 0;

MKDP(nv,m0,dp);

dp->sugar = td;

BDY(ret)[i] = (pointer)dp;

}

LIST remove_zero_from_list(LIST l)

{

NODE n,r0,r;

Line 2857 int get_opt(char *key0,Obj *r) {

Line 3089 int get_opt(char *key0,Obj *r) {

}

return 0;

}

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