OpenXM_contrib2/asir2000/builtin/dp.c - diff

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Diff for /OpenXM_contrib2/asir2000/builtin/dp.c between version 1.69 and 1.101

version 1.69, 2007/09/07 00:45:50

version 1.101, 2017/02/27 05:21:19

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 1.68 2007/09/06 02:23:40 noro Exp $

* $OpenXM: OpenXM_contrib2/asir2000/builtin/dp.c,v 1.100 2017/02/27 05:14:53 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 67 void Pdp_sp(), Pdp_hm(), Pdp_ht(), Pdp_hc(), Pdp_rest(

Line 68 void Pdp_sp(), Pdp_hm(), Pdp_ht(), Pdp_hc(), Pdp_rest(

void Pdp_set_sugar();

void Pdp_cri1(),Pdp_cri2(),Pdp_subd(),Pdp_mod(),Pdp_red_mod(),Pdp_tdiv();

void Pdp_prim(),Pdp_red_coef(),Pdp_mag(),Pdp_set_kara(),Pdp_rat();

void Pdp_nf(),Pdp_true_nf(),Pdp_true_nf_marked();

void Pdp_nf(),Pdp_true_nf(),Pdp_true_nf_marked(),Pdp_true_nf_marked_mod();

void Pdp_true_nf_and_quotient(),Pdp_true_nf_and_quotient_mod();

void Pdp_true_nf_and_quotient_marked(),Pdp_true_nf_and_quotient_marked_mod();

void Pdp_nf_mod(),Pdp_true_nf_mod();

void Pdp_criB(),Pdp_nelim();

void Pdp_minp(),Pdp_sp_mod();

Line 85 void Pdp_ltod(),Pdpv_ord(),Pdpv_ht(),Pdpv_hm(),Pdpv_hc

Line 90 void Pdp_ltod(),Pdpv_ord(),Pdpv_ht(),Pdpv_hm(),Pdpv_hc

void Pdp_weyl_red();

void Pdp_weyl_sp();

void Pdp_weyl_nf(),Pdp_weyl_nf_mod();

void Pdp_weyl_true_nf_and_quotient(),Pdp_weyl_true_nf_and_quotient_mod();

void Pdp_weyl_true_nf_and_quotient_marked(),Pdp_weyl_true_nf_and_quotient_marked_mod();

void Pdp_weyl_gr_main(),Pdp_weyl_gr_mod_main(),Pdp_weyl_gr_f_main();

void Pdp_weyl_f4_main(),Pdp_weyl_f4_mod_main(),Pdp_weyl_f4_f_main();

void Pdp_weyl_mul(),Pdp_weyl_mul_mod();

void Pdp_weyl_mul(),Pdp_weyl_mul_mod(),Pdp_weyl_act();

void Pdp_weyl_set_weight();

void Pdp_set_weight();

void Pdp_set_weight(),Pdp_set_top_weight(),Pdp_set_module_weight();

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();

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();

void Pdp_compute_last_t();

void Pdp_compute_last_w();

void Pdp_compute_essential_df();

void Pdp_get_denomlist();

void Pdp_symb_add();

void Pdp_mono_raddec();

void Pdp_mono_reduce();

void Pdp_rref2(),Psumi_updatepairs(),Psumi_symbolic();

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 132 struct ftab dp_tab[] = {

Line 150 struct ftab dp_tab[] = {

/* normal form */

{"dp_nf",Pdp_nf,4},

{"dp_nf_mod",Pdp_nf_mod,5},

{"dp_nf_f",Pdp_nf_f,4},

{"dp_true_nf",Pdp_true_nf,4},

{"dp_true_nf_marked",Pdp_true_nf_marked,4},

{"dp_nf_mod",Pdp_nf_mod,5},

{"dp_true_nf_mod",Pdp_true_nf_mod,5},

{"dp_true_nf_marked",Pdp_true_nf_marked,4},

{"dp_true_nf_marked_mod",Pdp_true_nf_marked_mod,5},

{"dp_true_nf_and_quotient",Pdp_true_nf_and_quotient,3},

{"dp_true_nf_and_quotient_mod",Pdp_true_nf_and_quotient_mod,4},

{"dp_true_nf_and_quotient_marked",Pdp_true_nf_and_quotient_marked,4},

{"dp_true_nf_and_quotient_marked_mod",Pdp_true_nf_and_quotient_marked_mod,5},

{"dp_lnf_mod",Pdp_lnf_mod,3},

{"dp_nf_tab_f",Pdp_nf_tab_f,2},

{"dp_nf_tab_mod",Pdp_nf_tab_mod,3},

Line 153 struct ftab dp_tab[] = {

Line 179 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 165 struct ftab dp_tab[] = {

Line 195 struct ftab dp_tab[] = {

/* multiplication */

{"dp_weyl_mul",Pdp_weyl_mul,2},

{"dp_weyl_mul_mod",Pdp_weyl_mul_mod,3},

{"dp_weyl_act",Pdp_weyl_act,2},

/* s-poly */

{"dp_weyl_sp",Pdp_weyl_sp,2},

Line 177 struct ftab dp_tab[] = {

Line 208 struct ftab dp_tab[] = {

{"dp_weyl_nf_mod",Pdp_weyl_nf_mod,5},

{"dp_weyl_nf_f",Pdp_weyl_nf_f,4},

{"dp_weyl_true_nf_and_quotient",Pdp_weyl_true_nf_and_quotient,3},

{"dp_weyl_true_nf_and_quotient_mod",Pdp_weyl_true_nf_and_quotient_mod,4},

{"dp_weyl_true_nf_and_quotient_marked",Pdp_weyl_true_nf_and_quotient_marked,4},

{"dp_weyl_true_nf_and_quotient_marked_mod",Pdp_weyl_true_nf_and_quotient_marked_mod,5},

/* Buchberger algorithm */

{"dp_weyl_gr_main",Pdp_weyl_gr_main,-5},

{"dp_weyl_gr_mod_main",Pdp_weyl_gr_mod_main,5},

Line 189 struct ftab dp_tab[] = {

Line 226 struct ftab dp_tab[] = {

/* misc */

{"dp_inv_or_split",Pdp_inv_or_split,3},

{"dp_set_weight",Pdp_set_weight,-1},

{"dp_set_module_weight",Pdp_set_module_weight,-1},

{"dp_set_top_weight",Pdp_set_top_weight,-1},

{"dp_weyl_set_weight",Pdp_weyl_set_weight,-1},

{"dp_get_denomlist",Pdp_get_denomlist,0},

{0,0,0},

};

Line 234 struct ftab dp_supp_tab[] = {

Line 275 struct ftab dp_supp_tab[] = {

{"dp_rest",Pdp_rest,1},

{"dp_initial_term",Pdp_initial_term,1},

{"dp_order",Pdp_order,1},

{"dp_symb_add",Pdp_symb_add,2},

/* degree and size */

{"dp_td",Pdp_td,1},

Line 249 struct ftab dp_supp_tab[] = {

Line 291 struct ftab dp_supp_tab[] = {

{"dp_tdiv",Pdp_tdiv,2},

{"dp_minp",Pdp_minp,2},

{"dp_compute_last_w",Pdp_compute_last_w,5},

{"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},

{"sumi_updatepairs",Psumi_updatepairs,3},

{"sumi_symbolic",Psumi_symbolic,5},

{0,0,0}

};

NODE compute_last_w(NODE g,NODE gh,int n,int **v,int row1,int **m1,int row2,int **m2);

Q compute_last_t(NODE g,NODE gh,Q t,VECT w1,VECT w2,NODE *homo,VECT *wp);

void Pdp_compute_last_t(NODE arg,LIST *rp)

{

NODE g,gh,homo,n;

LIST hlist;

VECT v1,v2,w;

Q t;

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

gh = (NODE)BDY((LIST)ARG1(arg));

t = (Q)ARG2(arg);

v1 = (VECT)ARG3(arg);

v2 = (VECT)ARG4(arg);

t = compute_last_t(g,gh,t,v1,v2,&homo,&w);

MKLIST(hlist,homo);

n = mknode(3,t,w,hlist);

MKLIST(*rp,n);

}

void Pdp_compute_last_w(NODE arg,LIST *rp)

{

NODE g,gh,r;

Line 297 void Pdp_compute_last_w(NODE arg,LIST *rp)

Line 366 void Pdp_compute_last_w(NODE arg,LIST *rp)

}

void Pdp_inv_or_split(arg,rp)

NODE compute_essential_df(DP *g,DP *gh,int n);

NODE arg;

Obj *rp;

void Pdp_compute_essential_df(NODE arg,LIST *rp)

{

VECT g,gh;

NODE r;

g = (VECT)ARG0(arg);

gh = (VECT)ARG1(arg);

r = (NODE)compute_essential_df((DP *)BDY(g),(DP *)BDY(gh),g->len);

MKLIST(*rp,r);

}

void Pdp_inv_or_split(NODE arg,Obj *rp)

{

NODE gb,newgb;

DP f,inv;

struct order_spec *spec;

Line 323 Obj *rp;

Line 403 Obj *rp;

}

void Pdp_sort(arg,rp)

void Pdp_sort(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

dp_sort((DP)ARG0(arg),rp);

}

void Pdp_mdtod(arg,rp)

void Pdp_mdtod(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

MP m,mr,mr0;

DP p;

Line 349 DP *rp;

Line 425 DP *rp;

}

void Pdp_sep(arg,rp)

void Pdp_sep(NODE arg,VECT *rp)

NODE arg;

VECT *rp;

{

DP p,r;

MP m,t;

Line 378 VECT *rp;

Line 452 VECT *rp;

}

void Pdp_idiv(arg,rp)

void Pdp_idiv(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

dp_idiv((DP)ARG0(arg),(Q)ARG1(arg),rp);

}

void Pdp_cont(arg,rp)

void Pdp_cont(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

dp_cont((DP)ARG0(arg),rp);

}

void Pdp_dtov(arg,rp)

void Pdp_dtov(NODE arg,VECT *rp)

NODE arg;

VECT *rp;

{

dp_dtov((DP)ARG0(arg),rp);

}

void Pdp_mbase(arg,rp)

void Pdp_mbase(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

NODE mb;

Line 410 LIST *rp;

Line 476 LIST *rp;

MKLIST(*rp,mb);

}

void Pdp_etov(arg,rp)

void Pdp_etov(NODE arg,VECT *rp)

NODE arg;

VECT *rp;

{

DP dp;

int n,i;

Line 430 VECT *rp;

Line 494 VECT *rp;

*rp = v;

}

void Pdp_vtoe(arg,rp)

void Pdp_vtoe(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP dp;

DL dl;

Line 454 DP *rp;

Line 516 DP *rp;

*rp = dp;

}

void Pdp_lnf_mod(arg,rp)

void Pdp_lnf_mod(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

DP r1,r2;

NODE b,g,n;

Line 473 LIST *rp;

Line 533 LIST *rp;

NEXT(NEXT(n)) = 0; MKLIST(*rp,n);

}

void Pdp_lnf_f(arg,rp)

void Pdp_lnf_f(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

DP r1,r2;

NODE b,g,n;

Line 489 LIST *rp;

Line 547 LIST *rp;

NEXT(NEXT(n)) = 0; MKLIST(*rp,n);

}

void Pdp_nf_tab_mod(arg,rp)

void Pdp_nf_tab_mod(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

asir_assert(ARG0(arg),O_DP,"dp_nf_tab_mod");

asir_assert(ARG1(arg),O_VECT,"dp_nf_tab_mod");

Line 500 DP *rp;

Line 556 DP *rp;

QTOS((Q)ARG2(arg)),rp);

}

void Pdp_nf_tab_f(arg,rp)

void Pdp_nf_tab_f(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

asir_assert(ARG0(arg),O_DP,"dp_nf_tab_f");

asir_assert(ARG1(arg),O_VECT,"dp_nf_tab_f");

dp_nf_tab_f((DP)ARG0(arg),(LIST *)BDY((VECT)ARG1(arg)),rp);

}

void Pdp_ord(arg,rp)

void Pdp_ord(NODE arg,Obj *rp)

NODE arg;

Obj *rp;

{

struct order_spec *spec;

LIST v;

Line 531 Obj *rp;

Line 583 Obj *rp;

}

void Pdp_ptod(arg,rp)

void Pdp_ptod(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

P p;

NODE n;

Line 572 DP *rp;

Line 622 DP *rp;

ptod(CO,vl,p,rp);

}

void Phomogenize(arg,rp)

void Phomogenize(NODE arg,P *rp)

NODE arg;

P *rp;

{

P p;

DP d,h;

Line 609 P *rp;

Line 657 P *rp;

dtop(CO,vl,h,rp);

}

void Pdp_ltod(arg,rp)

void Pdp_ltod(NODE arg,DPV *rp)

NODE arg;

DPV *rp;

{

NODE n;

VL vl,tvl;

Line 658 DPV *rp;

Line 704 DPV *rp;

MKDPV(len,e,*rp);

}

void Pdp_dtop(arg,rp)

void Pdp_dtop(NODE arg,P *rp)

NODE arg;

P *rp;

{

NODE n;

VL vl,tvl;

Line 682 P *rp;

Line 726 P *rp;

extern LIST Dist;

void Pdp_ptozp(arg,rp)

void Pdp_ptozp(NODE arg,Obj *rp)

NODE arg;

Obj *rp;

{

Q t;

NODE tt,p;

Line 722 Obj *rp;

Line 764 Obj *rp;

*rp = (Obj)pp;

}

void Pdp_ptozp2(arg,rp)

void Pdp_ptozp2(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

DP p0,p1,h,r;

NODE n0;

Line 739 LIST *rp;

Line 779 LIST *rp;

MKLIST(*rp,n0);

}

void Pdp_prim(arg,rp)

void Pdp_prim(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP t;

Line 749 DP *rp;

Line 787 DP *rp;

dp_prim((DP)ARG0(arg),&t); dp_ptozp(t,rp);

}

void Pdp_mod(arg,rp)

void Pdp_mod(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p;

int mod;

Line 765 DP *rp;

Line 801 DP *rp;

dp_mod(p,mod,subst,rp);

}

void Pdp_rat(arg,rp)

void Pdp_rat(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

asir_assert(ARG0(arg),O_DP,"dp_rat");

dp_rat((DP)ARG0(arg),rp);

Line 775 DP *rp;

Line 809 DP *rp;

extern int DP_Multiple;

void Pdp_nf(arg,rp)

void Pdp_nf(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

NODE b;

DP *ps;

Line 797 DP *rp;

Line 829 DP *rp;

dp_nf_z(b,g,ps,full,DP_Multiple,rp);

}

void Pdp_weyl_nf(arg,rp)

void Pdp_weyl_nf(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

NODE b;

DP *ps;

Line 822 DP *rp;

Line 852 DP *rp;

/* nf computation using field operations */

void Pdp_nf_f(arg,rp)

void Pdp_nf_f(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

NODE b;

DP *ps;

Line 844 DP *rp;

Line 872 DP *rp;

dp_nf_f(b,g,ps,full,rp);

}

void Pdp_weyl_nf_f(arg,rp)

void Pdp_weyl_nf_f(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

NODE b;

DP *ps;

Line 867 DP *rp;

Line 893 DP *rp;

do_weyl = 0;

}

void Pdp_nf_mod(arg,rp)

void Pdp_nf_mod(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

NODE b;

DP g;

Line 898 DP *rp;

Line 922 DP *rp;

dp_nf_mod(n0,g,ps,mod,full,rp);

}

void Pdp_true_nf(arg,rp)

void Pdp_true_nf(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

NODE b,n;

DP *ps;

Line 926 LIST *rp;

Line 948 LIST *rp;

NEXT(NEXT(n)) = 0; MKLIST(*rp,n);

}

void Pdp_true_nf_marked(arg,rp)

DP *dp_true_nf_and_quotient_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *dnp);

NODE arg;

LIST *rp;

void Pdp_true_nf_and_quotient_marked(NODE arg,LIST *rp)

{

NODE b,n;

DP *ps,*hps;

DP g;

DP nm;

VECT quo;

P dn;

int full;

do_weyl = 0; dp_fcoeffs = 0;

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

asir_assert(ARG1(arg),O_DP,"dp_true_nf_and_quotient_marked");

asir_assert(ARG2(arg),O_VECT,"dp_true_nf_and_quotient_marked");

asir_assert(ARG3(arg),O_VECT,"dp_true_nf_and_quotient_marked");

if ( !(g = (DP)ARG1(arg)) ) {

nm = 0; dn = (P)ONE;

} else {

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

ps = (DP *)BDY((VECT)ARG2(arg));

hps = (DP *)BDY((VECT)ARG3(arg));

NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len;

quo->body = (pointer *)dp_true_nf_and_quotient_marked(b,g,ps,hps,&nm,&dn);

}

n = mknode(3,nm,dn,quo);

MKLIST(*rp,n);

}

void Pdp_true_nf_and_quotient(NODE arg,LIST *rp)

{

NODE narg = mknode(4,ARG0(arg),ARG1(arg),ARG2(arg),ARG2(arg));

Pdp_true_nf_and_quotient_marked(narg,rp);

}

DP *dp_true_nf_and_quotient_marked_mod (NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp);

void Pdp_true_nf_and_quotient_marked_mod(NODE arg,LIST *rp)

{

NODE b,n;

DP *ps,*hps;

DP g;

DP nm;

VECT quo;

P dn;

int full,mod;

do_weyl = 0; dp_fcoeffs = 0;

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

asir_assert(ARG1(arg),O_DP,"dp_true_nf_and_quotient_marked_mod");

asir_assert(ARG2(arg),O_VECT,"dp_true_nf_and_quotient_marked_mod");

asir_assert(ARG3(arg),O_VECT,"dp_true_nf_and_quotient_marked_mod");

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

if ( !(g = (DP)ARG1(arg)) ) {

nm = 0; dn = (P)ONE;

} else {

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

ps = (DP *)BDY((VECT)ARG2(arg));

hps = (DP *)BDY((VECT)ARG3(arg));

mod = QTOS((Q)ARG4(arg));

NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len;

quo->body = (pointer *)dp_true_nf_and_quotient_marked_mod(b,g,ps,hps,mod,&nm,&dn);

}

n = mknode(3,nm,dn,quo);

MKLIST(*rp,n);

}

void Pdp_true_nf_and_quotient_mod(NODE arg,LIST *rp)

{

NODE narg = mknode(5,ARG0(arg),ARG1(arg),ARG2(arg),ARG2(arg),ARG3(arg));

Pdp_true_nf_and_quotient_marked_mod(narg,rp);

}

void Pdp_true_nf_marked(NODE arg,LIST *rp)

{

NODE b,n;

DP *ps,*hps;

DP g;

DP nm;

Q cont;

P dn;

int full;

Line 955 LIST *rp;

Line 1050 LIST *rp;

MKLIST(*rp,n);

}

void Pdp_weyl_nf_mod(arg,rp)

void Pdp_true_nf_marked_mod(NODE arg,LIST *rp)

NODE arg;

DP *rp;

{

NODE b,n;

DP *ps,*hps;

DP g;

DP nm;

P dn;

int mod;

do_weyl = 0; dp_fcoeffs = 0;

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

asir_assert(ARG1(arg),O_DP,"dp_true_nf_marked_mod");

asir_assert(ARG2(arg),O_VECT,"dp_true_nf_marked_mod");

asir_assert(ARG3(arg),O_VECT,"dp_true_nf_marked_mod");

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

if ( !(g = (DP)ARG1(arg)) ) {

nm = 0; dn = (P)ONE;

} else {

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

ps = (DP *)BDY((VECT)ARG2(arg));

hps = (DP *)BDY((VECT)ARG3(arg));

mod = QTOS((Q)ARG4(arg));

dp_true_nf_marked_mod(b,g,ps,hps,mod,&nm,&dn);

}

n = mknode(2,nm,dn);

MKLIST(*rp,n);

}

void Pdp_weyl_nf_mod(NODE arg,DP *rp)

{

NODE b;

DP g;

DP *ps;

Line 987 DP *rp;

Line 1108 DP *rp;

do_weyl = 0;

}

void Pdp_true_nf_mod(arg,rp)

void Pdp_true_nf_mod(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

NODE b;

DP g,nm;

Line 1016 LIST *rp;

Line 1135 LIST *rp;

NEXT(NEXT(n)) = 0; MKLIST(*rp,n);

}

void Pdp_tdiv(arg,rp)

void Pdp_weyl_true_nf_and_quotient_marked(NODE arg,LIST *rp)

NODE arg;

DP *rp;

{

NODE b,n;

DP *ps,*hps;

DP g;

DP nm;

VECT quo;

P dn;

int full;

do_weyl = 1; dp_fcoeffs = 0;

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

asir_assert(ARG1(arg),O_DP,"dp_weyl_true_nf_and_quotient_marked");

asir_assert(ARG2(arg),O_VECT,"dp_weyl_true_nf_and_quotient_marked");

asir_assert(ARG3(arg),O_VECT,"dp_weyl_true_nf_and_quotient_marked");

if ( !(g = (DP)ARG1(arg)) ) {

nm = 0; dn = (P)ONE;

} else {

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

ps = (DP *)BDY((VECT)ARG2(arg));

hps = (DP *)BDY((VECT)ARG3(arg));

NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len;

quo->body = (pointer *)dp_true_nf_and_quotient_marked(b,g,ps,hps,&nm,&dn);

}

n = mknode(3,nm,dn,quo);

MKLIST(*rp,n);

}

void Pdp_weyl_true_nf_and_quotient(NODE arg,LIST *rp)

{

NODE narg = mknode(4,ARG0(arg),ARG1(arg),ARG2(arg),ARG2(arg));

Pdp_weyl_true_nf_and_quotient_marked(narg,rp);

}

void Pdp_weyl_true_nf_and_quotient_marked_mod(NODE arg,LIST *rp)

{

NODE b,n;

DP *ps,*hps;

DP g;

DP nm;

VECT quo;

P dn;

int full,mod;

do_weyl = 1; dp_fcoeffs = 0;

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

asir_assert(ARG1(arg),O_DP,"dp_weyl_true_nf_and_quotient_marked_mod");

asir_assert(ARG2(arg),O_VECT,"dp_weyl_true_nf_and_quotient_marked_mod");

asir_assert(ARG3(arg),O_VECT,"dp_weyl_true_nf_and_quotient_marked_mod");

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

if ( !(g = (DP)ARG1(arg)) ) {

nm = 0; dn = (P)ONE;

} else {

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

ps = (DP *)BDY((VECT)ARG2(arg));

hps = (DP *)BDY((VECT)ARG3(arg));

mod = QTOS((Q)ARG4(arg));

NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len;

quo->body = (pointer *)dp_true_nf_and_quotient_marked_mod(b,g,ps,hps,mod,&nm,&dn);

}

n = mknode(3,nm,dn,quo);

MKLIST(*rp,n);

}

void Pdp_weyl_true_nf_and_quotient_mod(NODE arg,LIST *rp)

{

NODE narg = mknode(5,ARG0(arg),ARG1(arg),ARG2(arg),ARG2(arg),ARG3(arg));

Pdp_weyl_true_nf_and_quotient_marked_mod(narg,rp);

}

void Pdp_tdiv(NODE arg,DP *rp)

{

MP m,mr,mr0;

DP p;

Q c;

Line 1045 DP *rp;

Line 1234 DP *rp;

}

void Pdp_red_coef(arg,rp)

void Pdp_red_coef(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

MP m,mr,mr0;

P q,r;

Line 1073 DP *rp;

Line 1260 DP *rp;

}

void Pdp_redble(arg,rp)

void Pdp_redble(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

asir_assert(ARG0(arg),O_DP,"dp_redble");

asir_assert(ARG1(arg),O_DP,"dp_redble");

Line 1085 Q *rp;

Line 1270 Q *rp;

*rp = 0;

}

void Pdp_red_mod(arg,rp)

void Pdp_red_mod(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

DP h,r;

P dmy;

Line 1105 LIST *rp;

Line 1288 LIST *rp;

NEXT(NEXT(n)) = 0; MKLIST(*rp,n);

}

void Pdp_subd(arg,rp)

void Pdp_subd(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p1,p2;

Line 1117 DP *rp;

Line 1298 DP *rp;

dp_subd(p1,p2,rp);

}

void Pdp_mul_trunc(arg,rp)

void Pdp_symb_add(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p1,p2,r;

NODE s0;

MP mp0,mp;

int nv;

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;

s0 = symb_merge(dp_dllist(p1),dp_dllist(p2),nv);

for ( mp0 = 0; s0; s0 = NEXT(s0) ) {

NEXTMP(mp0,mp); mp->dl = (DL)BDY(s0); mp->c = (P)ONE;

}

NEXT(mp) = 0;

MKDP(nv,mp0,r); r->sugar = MAX(p1->sugar,p2->sugar);

*rp = r;

}

void Pdp_mul_trunc(NODE arg,DP *rp)

{

DP p1,p2,p;

p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); p = (DP)ARG2(arg);

Line 1130 DP *rp;

Line 1333 DP *rp;

comm_muld_trunc(CO,p1,p2,BDY(p)->dl,rp);

}

void Pdp_quo(arg,rp)

void Pdp_quo(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p1,p2;

Line 1142 DP *rp;

Line 1343 DP *rp;

comm_quod(CO,p1,p2,rp);

}

void Pdp_weyl_mul(arg,rp)

void Pdp_weyl_mul(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p1,p2;

Line 1155 DP *rp;

Line 1354 DP *rp;

do_weyl = 0;

}

void Pdp_weyl_mul_mod(arg,rp)

void Pdp_weyl_act(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p1,p2;

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

asir_assert(p1,O_DP,"dp_weyl_act"); asir_assert(p2,O_DP,"dp_weyl_act");

weyl_actd(CO,p1,p2,rp);

}

void Pdp_weyl_mul_mod(NODE arg,DP *rp)

{

DP p1,p2;

Q m;

p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); m = (Q)ARG2(arg);

Line 1171 DP *rp;

Line 1378 DP *rp;

do_weyl = 0;

}

void Pdp_red(arg,rp)

void Pdp_red(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

NODE n;

DP head,rest,dmy1;

Line 1189 LIST *rp;

Line 1394 LIST *rp;

NEXT(NEXT(n)) = 0; MKLIST(*rp,n);

}

void Pdp_weyl_red(arg,rp)

void Pdp_weyl_red(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

NODE n;

DP head,rest,dmy1;

Line 1208 LIST *rp;

Line 1411 LIST *rp;

NEXT(NEXT(n)) = 0; MKLIST(*rp,n);

}

void Pdp_sp(arg,rp)

void Pdp_sp(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p1,p2;

Line 1220 DP *rp;

Line 1421 DP *rp;

dp_sp(p1,p2,rp);

}

void Pdp_weyl_sp(arg,rp)

void Pdp_weyl_sp(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p1,p2;

Line 1233 DP *rp;

Line 1432 DP *rp;

do_weyl = 0;

}

void Pdp_sp_mod(arg,rp)

void Pdp_sp_mod(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p1,p2;

int mod;

Line 1248 DP *rp;

Line 1445 DP *rp;

dp_sp_mod(p1,p2,mod,rp);

}

void Pdp_lcm(arg,rp)

void Pdp_lcm(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

int i,n,td;

DL d1,d2,d;

Line 1269 DP *rp;

Line 1464 DP *rp;

MKDP(n,m,*rp); (*rp)->sugar = td; /* XXX */

}

void Pdp_hm(arg,rp)

void Pdp_hm(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p;

Line 1279 DP *rp;

Line 1472 DP *rp;

dp_hm(p,rp);

}

void Pdp_ht(arg,rp)

void Pdp_ht(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

DP p;

MP m,mr;

Line 1290 DP *rp;

Line 1481 DP *rp;

dp_ht(p,rp);

}

void Pdp_hc(arg,rp)

void Pdp_hc(NODE arg,P *rp)

NODE arg;

P *rp;

{

asir_assert(ARG0(arg),O_DP,"dp_hc");

if ( !ARG0(arg) )

Line 1301 P *rp;

Line 1490 P *rp;

*rp = BDY((DP)ARG0(arg))->c;

}

void Pdp_rest(arg,rp)

void Pdp_rest(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

asir_assert(ARG0(arg),O_DP,"dp_rest");

if ( !ARG0(arg) )

Line 1312 DP *rp;

Line 1499 DP *rp;

dp_rest((DP)ARG0(arg),rp);

}

void Pdp_td(arg,rp)

void Pdp_td(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

DP p;

Line 1325 Q *rp;

Line 1510 Q *rp;

STOQ(BDY(p)->dl->td,*rp);

}

void Pdp_sugar(arg,rp)

void Pdp_sugar(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

DP p;

Line 1338 Q *rp;

Line 1521 Q *rp;

STOQ(p->sugar,*rp);

}

void Pdp_initial_term(arg,rp)

void Pdp_initial_term(NODE arg,Obj *rp)

NODE arg;

Obj *rp;

{

struct order_spec *ord;

Num homo;

Line 1367 Obj *rp;

Line 1548 Obj *rp;

*rp = (Obj)initiallist;

}

void Pdp_order(arg,rp)

void Pdp_order(NODE arg,Obj *rp)

NODE arg;

Obj *rp;

{

struct order_spec *ord;

Num homo;

Line 1396 Obj *rp;

Line 1575 Obj *rp;

*rp = (Obj)ordlist;

}

void Pdp_set_sugar(arg,rp)

void Pdp_set_sugar(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

DP p;

Q q;

Line 1417 Q *rp;

Line 1594 Q *rp;

*rp = 0;

}

void Pdp_cri1(arg,rp)

void Pdp_cri1(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

DP p1,p2;

int *d1,*d2;

Line 1434 Q *rp;

Line 1609 Q *rp;

*rp = i == n ? ONE : 0;

}

void Pdp_cri2(arg,rp)

void Pdp_cri2(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

DP p1,p2;

int *d1,*d2;

Line 1451 Q *rp;

Line 1624 Q *rp;

*rp = i == n ? ONE : 0;

}

void Pdp_minp(arg,rp)

void Pdp_minp(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

NODE tn,tn1,d,dd,dd0,p,tp;

LIST l,minp;

Line 1498 LIST *rp;

Line 1669 LIST *rp;

MKLIST(l,dd0); MKNODE(tn,l,0); MKNODE(tn1,minp,tn); MKLIST(*rp,tn1);

}

void Pdp_criB(arg,rp)

void Pdp_criB(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

NODE d,ij,dd,ddd;

int i,j,s,n;

Line 1536 LIST *rp;

Line 1705 LIST *rp;

}

void Pdp_nelim(arg,rp)

void Pdp_nelim(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

if ( arg ) {

asir_assert(ARG0(arg),O_N,"dp_nelim");

Line 1547 Q *rp;

Line 1714 Q *rp;

STOQ(dp_nelim,*rp);

}

void Pdp_mag(arg,rp)

void Pdp_mag(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

DP p;

int s;

Line 1568 Q *rp;

Line 1733 Q *rp;

extern int kara_mag;

void Pdp_set_kara(arg,rp)

void Pdp_set_kara(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

if ( arg ) {

asir_assert(ARG0(arg),O_N,"dp_set_kara");

Line 1579 Q *rp;

Line 1742 Q *rp;

STOQ(kara_mag,*rp);

}

void Pdp_homo(arg,rp)

void Pdp_homo(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

asir_assert(ARG0(arg),O_DP,"dp_homo");

dp_homo((DP)ARG0(arg),rp);

}

void Pdp_dehomo(arg,rp)

void Pdp_dehomo(NODE arg,DP *rp)

NODE arg;

DP *rp;

{

asir_assert(ARG0(arg),O_DP,"dp_dehomo");

dp_dehomo((DP)ARG0(arg),rp);

}

void Pdp_gr_flags(arg,rp)

void Pdp_gr_flags(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

Obj name,value;

NODE n;

Line 1620 LIST *rp;

Line 1777 LIST *rp;

extern int DP_Print, DP_PrintShort;

void Pdp_gr_print(arg,rp)

void Pdp_gr_print(NODE arg,Q *rp)

NODE arg;

Q *rp;

{

Q q;

int s;

Line 1759 void parse_gr_option(LIST f,NODE opt,LIST *v,Num *homo

Line 1914 void parse_gr_option(LIST f,NODE opt,LIST *v,Num *homo

if ( !homo_is_set ) *homo = 0;

}

void Pdp_gr_main(arg,rp)

void Pdp_gr_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

VL vl;

Line 1800 LIST *rp;

Line 1953 LIST *rp;

dp_gr_main(f,v,homo,modular,0,ord,rp);

}

void Pdp_interreduce(arg,rp)

void Pdp_interreduce(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

VL vl;

Line 1824 LIST *rp;

Line 1975 LIST *rp;

dp_interreduce(f,v,0,ord,rp);

}

void Pdp_gr_f_main(arg,rp)

void Pdp_gr_f_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

Num homo;

Line 1869 LIST *rp;

Line 2018 LIST *rp;

dp_gr_main(f,v,homo,m?1:0,field,ord,rp);

}

void Pdp_f4_main(arg,rp)

void Pdp_f4_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

struct order_spec *ord;

Line 1890 LIST *rp;

Line 2037 LIST *rp;

/* dp_gr_checklist(list of dp) */

void Pdp_gr_checklist(arg,rp)

void Pdp_gr_checklist(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

VECT g;

LIST dp;

Line 1908 LIST *rp;

Line 2053 LIST *rp;

MKLIST(*rp,r);

}

void Pdp_f4_mod_main(arg,rp)

void Pdp_f4_mod_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

int m;

Line 1931 LIST *rp;

Line 2074 LIST *rp;

dp_f4_mod_main(f,v,m,ord,rp);

}

void Pdp_gr_mod_main(arg,rp)

void Pdp_gr_mod_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

Num homo;

Line 1957 LIST *rp;

Line 2098 LIST *rp;

dp_gr_mod_main(f,v,homo,m,ord,rp);

}

void Pnd_f4(arg,rp)

void Pnd_f4(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

int m,homo;

int m,homo,retdp;

Obj val;

Q mq;

NODE node;

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");

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

f = remove_zero_from_list(f);

if ( !BDY(f) ) {

*rp = f; return;

}

mq = (Q)ARG2(arg);

if ( PL(NM(mq)) > 1 || BD(NM(mq))[0] >= (1<<30) ) {

node = mknode(1,mq);

Psetmod_ff(node,&val);

m = -2;

} else

m = QTOS(mq);

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

homo = retdp = 0;

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(NODE arg,LIST *rp)

{

LIST f,v;

int m,homo,retdp;

Obj val;

Q mq;

NODE node;

struct order_spec *ord;

do_weyl = 0;

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

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

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

Line 1974 LIST *rp;

Line 2150 LIST *rp;

if ( !BDY(f) ) {

*rp = f; return;

}

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

mq = (Q)ARG2(arg);

if ( PL(NM(mq)) > 1 || BD(NM(mq))[0] >= (1<<30) ) {

node = mknode(1,mq);

Psetmod_ff(node,&val);

m = -2;

} else

m = QTOS(mq);

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

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

homo = retdp = 0;

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(arg,rp)

void Pnd_gr_postproc(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

int m,homo;

int m,do_check;

struct order_spec *ord;

do_weyl = 0;

Line 1998 LIST *rp;

Line 2181 LIST *rp;

}

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

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

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

do_check = ARG4(arg) ? 1 : 0;

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

}

void Pnd_gr_postproc(arg,rp)

void Pnd_gr_recompute_trace(NODE arg,LIST *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(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(NODE arg,LIST *rp)

{

LIST f,v;

int m,do_check;

struct order_spec *ord;

do_weyl = 0;

do_weyl = 1;

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

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

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

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

f = remove_zero_from_list(f);

if ( !BDY(f) ) {

*rp = f; return;

*rp = f; do_weyl = 0; return;

}

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

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

do_check = ARG4(arg) ? 1 : 0;

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

do_weyl = 0;

}

void Pnd_gr_trace(arg,rp)

void Pnd_gr_trace(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

int m,homo;

Line 2048 LIST *rp;

Line 2273 LIST *rp;

nd_gr_trace(f,v,m,homo,0,ord,rp);

}

void Pnd_f4_trace(arg,rp)

void Pnd_f4_trace(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

int m,homo;

Line 2072 LIST *rp;

Line 2295 LIST *rp;

nd_gr_trace(f,v,m,homo,1,ord,rp);

}

void Pnd_weyl_gr(arg,rp)

void Pnd_weyl_gr(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

int m,homo;

int m,homo,retdp;

Obj val;

struct order_spec *ord;

do_weyl = 1;

Line 2087 LIST *rp;

Line 2309 LIST *rp;

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

f = remove_zero_from_list(f);

if ( !BDY(f) ) {

*rp = f; return;

*rp = f; do_weyl = 0; return;

}

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

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

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

homo = retdp = 0;

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;

}

void Pnd_weyl_gr_trace(arg,rp)

void Pnd_weyl_gr_trace(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

int m,homo;

Line 2110 LIST *rp;

Line 2334 LIST *rp;

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

f = remove_zero_from_list(f);

if ( !BDY(f) ) {

*rp = f; return;

*rp = f; do_weyl = 0; return;

}

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

m = QTOS((Q)ARG3(arg));

create_order_spec(0,ARG4(arg),&ord);

nd_gr_trace(f,v,m,homo,0,ord,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 2141 P *rp;

Line 2363 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)

void Pdp_weyl_gr_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

Num homo;

Line 2185 LIST *rp;

Line 2425 LIST *rp;

do_weyl = 0;

}

void Pdp_weyl_gr_f_main(arg,rp)

void Pdp_weyl_gr_f_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

Num homo;

Line 2209 LIST *rp;

Line 2447 LIST *rp;

do_weyl = 0;

}

void Pdp_weyl_f4_main(arg,rp)

void Pdp_weyl_f4_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

struct order_spec *ord;

Line 2229 LIST *rp;

Line 2465 LIST *rp;

do_weyl = 0;

}

void Pdp_weyl_f4_mod_main(arg,rp)

void Pdp_weyl_f4_mod_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

int m;

Line 2253 LIST *rp;

Line 2487 LIST *rp;

do_weyl = 0;

}

void Pdp_weyl_gr_mod_main(arg,rp)

void Pdp_weyl_gr_mod_main(NODE arg,LIST *rp)

NODE arg;

LIST *rp;

{

LIST f,v;

Num homo;

Line 2282 LIST *rp;

Line 2514 LIST *rp;

VECT current_dl_weight_vector_obj;

int *current_dl_weight_vector;

int dp_negative_weight;

void Pdp_set_weight(arg,rp)

void Pdp_set_weight(NODE arg,VECT *rp)

NODE arg;

VECT *rp;

{

VECT v;

int i,n;

Line 2296 VECT *rp;

Line 2527 VECT *rp;

else if ( !ARG0(arg) ) {

current_dl_weight_vector_obj = 0;

current_dl_weight_vector = 0;

dp_negative_weight = 0;

*rp = 0;

} else {

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

Line 2314 VECT *rp;

Line 2546 VECT *rp;

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

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

current_dl_weight_vector[i] = QTOS((Q)v->body[i]);

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

if ( current_dl_weight_vector[i] < 0 ) break;

if ( i < n )

dp_negative_weight = 1;

else

dp_negative_weight = 0;

*rp = v;

}

VECT current_module_weight_vector_obj;

int *current_module_weight_vector;

void Pdp_set_module_weight(NODE arg,VECT *rp)

{

VECT v;

int i,n;

NODE node;

if ( !arg )

*rp = current_module_weight_vector_obj;

else if ( !ARG0(arg) ) {

current_module_weight_vector_obj = 0;

current_module_weight_vector = 0;

*rp = 0;

} else {

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

error("dp_module_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_module_weight_vector_obj = v;

n = v->len;

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

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

current_module_weight_vector[i] = QTOS((Q)v->body[i]);

*rp = v;

}

extern Obj current_top_weight;

extern Obj nd_top_weight;

void Pdp_set_top_weight(NODE arg,Obj *rp)

{

VECT v;

MAT m;

Obj obj;

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

Q *mi;

NODE node;

if ( !arg )

*rp = current_top_weight;

else if ( !ARG0(arg) ) {

reset_top_weight();

*rp = 0;

} else {

id = OID(ARG0(arg));

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

error("dp_set_top_weight : invalid argument");

if ( id == O_LIST ) {

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 = (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");

}

current_top_weight = obj;

nd_top_weight = obj;

*rp = current_top_weight;

}

LIST get_denomlist();

void Pdp_get_denomlist(LIST *rp)

{

*rp = get_denomlist();

}

static VECT current_weyl_weight_vector_obj;

int *current_weyl_weight_vector;

void Pdp_weyl_set_weight(arg,rp)

void Pdp_weyl_set_weight(NODE arg,VECT *rp)

NODE arg;

VECT *rp;

{

VECT v;

NODE node;

int i,n;

if ( !arg )

*rp = current_weyl_weight_vector_obj;

else {

else if ( !ARG0(arg) ) {

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

current_weyl_weight_vector_obj = 0;

v = (VECT)ARG0(arg);

current_weyl_weight_vector = 0;

*rp = 0;

} else {

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

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 2342 VECT *rp;

Line 2683 VECT *rp;

}

NODE mono_raddec(NODE ideal);

void Pdp_mono_raddec(NODE arg,LIST *rp)

{

NODE ideal,rd,t,t1,r,r1,u;

VL vl0,vl;

int nv,i,bpi;

int *s;

DP dp;

P *v;

LIST l;

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

if ( !ideal ) *rp = (LIST)ARG0(arg);

else {

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

nv = length(t);

v = (P *)MALLOC(nv*sizeof(P));

for ( vl0 = 0, i = 0; t; t = NEXT(t), i++ ) {

NEXTVL(vl0,vl); VR(vl) = VR((P)BDY(t));

MKV(VR(vl),v[i]);

}

if ( vl0 ) NEXT(vl) = 0;

for ( t = 0, r = ideal; r; r = NEXT(r) ) {

ptod(CO,vl0,BDY(r),&dp); MKNODE(t1,dp,t); t = t1;

}

rd = mono_raddec(t);

r = 0;

bpi = (sizeof(int)/sizeof(char))*8;

for ( u = rd; u; u = NEXT(u) ) {

s = (int *)BDY(u);

for ( i = nv-1, t = 0; i >= 0; i-- )

if ( s[i/bpi]&(1<<(i%bpi)) ) {

MKNODE(t1,v[i],t); t = t1;

}

MKLIST(l,t); MKNODE(r1,l,r); r = r1;

}

MKLIST(*rp,r);

}

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;

}

#define HDL(f) (BDY(f)->dl)

NODE sumi_criB(int nv,NODE d,DP *f,int m)

{

LIST p;

NODE r0,r;

int p0,p1;

DL p2,lcm;

NEWDL(lcm,nv);

r0 = 0;

for ( ; d; d = NEXT(d) ) {

p = (LIST)BDY(d);

p0 = QTOS((Q)ARG0(BDY(p)));

p1 = QTOS((Q)ARG1(BDY(p)));

p2 = HDL((DP)ARG2(BDY(p)));

if(!_dl_redble(HDL((DP)f[m]),p2,nv) ||

dl_equal(nv,lcm_of_DL(nv,HDL(f[p0]),HDL(f[m]),lcm),p2) ||

dl_equal(nv,lcm_of_DL(nv,HDL(f[p1]),HDL(f[m]),lcm),p2) ) {

NEXTNODE(r0,r);

BDY(r) = p;

}

if ( r0 ) NEXT(r) = 0;

return r0;

}

NODE sumi_criFMD(int nv,DP *f,int m)

{

DL *a;

DL l1,dl1,dl2;

int i,j,k,k2;

NODE r,r1,nd;

MP mp;

DP u;

Q iq,mq;

LIST list;

/* a[i] = lcm(LT(f[i]),LT(f[m])) */

a = (DL *)ALLOCA(m*sizeof(DL));

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

a[i] = lcm_of_DL(nv,HDL(f[i]),HDL(f[m]),0);

}

r = 0;

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

l1 = a[i];

if ( !l1 ) continue;

/* Tkm = Tim (k<i) */

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

if( dl_equal(nv,l1,a[k]) ) break;

if( k == i ){

/* Tk|Tim && Tkm != Tim (k<m) */

for ( k2 = 0; k2 < m; k2++ )

if ( _dl_redble(HDL(f[k2]),l1,nv) &&

!dl_equal(nv,l1,a[k2]) ) break;

if ( k2 == m ) {

dl1 = HDL(f[i]); dl2 = HDL(f[m]);

for ( k2 = 0; k2 < nv; k2++ )

if ( dl1->d[k2] && dl2->d[k2] ) break;

if ( k2 < nv ) {

NEWMP(mp); mp->dl = l1; C(mp) = (P)ONE;

NEXT(mp) = 0; MKDP(nv,mp,u); u->sugar = l1->td;

STOQ(i,iq); STOQ(m,mq);

nd = mknode(3,iq,mq,u);

MKLIST(list,nd);

MKNODE(r1,list,r);

r = r1;

}

return r;

}

LIST sumi_updatepairs(LIST d,DP *f,int m)

{

NODE old,new,t;

LIST l;

int nv;

nv = f[0]->nv;

old = sumi_criB(nv,BDY(d),f,m);

new = sumi_criFMD(nv,f,m);

if ( !new ) new = old;

else {

for ( t = new ; NEXT(t); t = NEXT(t) );

NEXT(t) = old;

}

MKLIST(l,new);

return l;

}

VECT ltov(LIST l)

{

NODE n;

int i,len;

VECT v;

n = BDY(l);

len = length(n);

MKVECT(v,len);

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

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

return v;

}

DL subdl(int nv,DL d1,DL d2)

{

int i;

DL d;

NEWDL(d,nv);

d->td = d1->td-d2->td;

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

d->d[i] = d1->d[i]-d2->d[i];

return d;

}

DP dltodp(int nv,DL d)

{

MP mp;

DP dp;

NEWMP(mp); mp->dl = d; C(mp) = (P)ONE;

NEXT(mp) = 0; MKDP(nv,mp,dp); dp->sugar = d->td;

return dp;

}

LIST sumi_simplify(int nv,DL t,DP p,NODE f2,int simp)

{

DL d,h,hw;

DP u,w,dp;

int n,i,last;

LIST *v;

LIST list;

NODE s,r;

d = t; u = p;

/* only the last history is used */

if ( f2 && simp && t->td != 0 ) {

adddl(nv,t,HDL(p),&h);

n = length(f2);

last = 1;

if ( simp > 1 ) last = n;

v = (LIST *)ALLOCA(n*sizeof(LIST));

for ( r = f2, i = 0; r; r = NEXT(r), i++ ) v[n-i-1] = BDY(r);

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

for ( s = BDY((LIST)v[i]); s; s = NEXT(s) ) {

w = (DP)BDY(s); hw = HDL(w);

if ( _dl_redble(hw,h,nv) ) {

u = w;

d = subdl(nv,h,hw);

goto fin;

}

fin:

dp = dltodp(nv,d);

r = mknode(2,dp,u);

MKLIST(list,r);

return list;

}

LIST sumi_symbolic(NODE l,int q,NODE f2,DP *g,int simp)

{

int nv;

NODE t,r;

NODE f0,f,fd0,fd,done0,done,red0,red;

DL h,d;

DP mul;

int m;

LIST tp,l0,l1,l2,l3,list;

VECT v0,v1,v2,v3;

nv = ((DP)BDY(l))->nv;

t = 0;

f0 = 0; fd0 = 0; done0 = 0; red0 = 0;

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

t = symb_merge(t,dp_dllist((DP)BDY(l)),nv);

NEXTNODE(fd0,fd); BDY(fd) = BDY(l);

}

while ( t ) {

h = (DL)BDY(t);

NEXTNODE(done0,done); BDY(done) = dltodp(nv,h);

t = NEXT(t);

for(m = 0; m < q; m++)

if ( _dl_redble(HDL(g[m]),h,nv) ) break;

if ( m == q ) {

} else {

d = subdl(nv,h,HDL(g[m]));

tp = sumi_simplify(nv,d,g[m],f2,simp);

muldm(CO,ARG1(BDY(tp)),BDY((DP)ARG0(BDY(tp))),&mul);

t = symb_merge(t,NEXT(dp_dllist(mul)),nv);

NEXTNODE(f0,f); BDY(f) = tp;

NEXTNODE(fd0,fd); BDY(fd) = mul;

NEXTNODE(red0,red); BDY(red) = mul;

}

if ( fd0 ) NEXT(fd) = 0; MKLIST(l0,fd0);

v0 = ltov(l0);

if ( done0 ) NEXT(done) = 0; MKLIST(l1,done0);

v1 = ltov(l1);

if ( f0 ) NEXT(f) = 0; MKLIST(l2,f0);

v2 = ltov(l2);

if ( red0 ) NEXT(red) = 0; MKLIST(l3,red0);

v3 = ltov(l3);

r = mknode(4,v0,v1,v2,v3);

MKLIST(list,r);

return list;

}

void Psumi_symbolic(NODE arg,LIST *rp)

{

NODE l,f2;

DP *g;

int q,simp;

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

q = QTOS((Q)ARG1(arg));

f2 = BDY((LIST)ARG2(arg));

g = (DP *)BDY((VECT)ARG3(arg));

simp = QTOS((Q)ARG4(arg));

*rp = sumi_symbolic(l,q,f2,g,simp);

}

void Psumi_updatepairs(NODE arg,LIST *rp)

{

LIST d,l;

DP *f;

int m;

d = (LIST)ARG0(arg);

f = (DP *)BDY((VECT)ARG1(arg));

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

*rp = sumi_updatepairs(d,f,m);

}

LIST remove_zero_from_list(LIST l)

{

NODE n,r0,r;

Line 2505 int dpv_hp(DPV p)

Line 3259 int dpv_hp(DPV p)

return -1;

break;

}

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

NODE tt,p;

char *key;

if ( current_option ) {

for ( tt = current_option; tt; tt = NEXT(tt) ) {

p = BDY((LIST)BDY(tt));

key = BDY((STRING)BDY(p));

/* value = (Obj)BDY(NEXT(p)); */

if ( !strcmp(key,key0) ) {

*r = (Obj)BDY(NEXT(p));

return 1;

}

return 0;

}

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