File: [local] / OpenXM_contrib2 / asir2018 / builtin / dp.c (download)
Revision 1.32, Sat Sep 10 04:04:50 2022 UTC (19 months, 1 week ago) by noro
Branch: MAIN
CVS Tags: HEAD
Changes since 1.31: +102 -10
lines
dp_nf and dp_true_nf accepts inputs with non-integer coefficients.
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/*
* Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
* All rights reserved.
*
* FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
* non-exclusive and royalty-free license to use, copy, modify and
* redistribute, solely for non-commercial and non-profit purposes, the
* computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
* conditions of this Agreement. For the avoidance of doubt, you acquire
* only a limited right to use the SOFTWARE hereunder, and FLL or any
* third party developer retains all rights, including but not limited to
* copyrights, in and to the SOFTWARE.
*
* (1) FLL does not grant you a license in any way for commercial
* purposes. You may use the SOFTWARE only for non-commercial and
* non-profit purposes only, such as academic, research and internal
* business use.
* (2) The SOFTWARE is protected by the Copyright Law of Japan and
* international copyright treaties. If you make copies of the SOFTWARE,
* with or without modification, as permitted hereunder, you shall affix
* to all such copies of the SOFTWARE the above copyright notice.
* (3) An explicit reference to this SOFTWARE and its copyright owner
* shall be made on your publication or presentation in any form of the
* results obtained by use of the SOFTWARE.
* (4) In the event that you modify the SOFTWARE, you shall notify FLL by
* e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
* for such modification or the source code of the modified part of the
* SOFTWARE.
*
* THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
* MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
* EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
* FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
* RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
* MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
* UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
* OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
* DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
* DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
* ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
* FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
* DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
* SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
* OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
*
* $OpenXM: OpenXM_contrib2/asir2018/builtin/dp.c,v 1.32 2022/09/10 04:04:50 noro Exp $
*/
#include "ca.h"
#include "base.h"
#include "parse.h"
extern int dp_fcoeffs;
extern int dp_nelim;
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;
extern int do_weyl;
void Pdp_monomial_hilbert_poincare(),Pdp_monomial_hilbert_poincare_incremental();
void Pdp_sort();
void Pdp_mul_trunc(),Pdp_quo();
void Pdp_ord(), Pdp_ptod(), Pdp_dtop(), Phomogenize();
void Pdp_ptozp(), Pdp_ptozp2(), Pdp_red(), Pdp_red2(), Pdp_lcm(), Pdp_redble();
void Pdp_sp(), Pdp_hm(), Pdp_ht(), Pdp_hc(), Pdp_rest(), Pdp_td(), Pdp_sugar();
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(),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();
void Pdp_homo(),Pdp_dehomo();
void Pdpm_homo(),Pdpm_dehomo(),Pdpm_mod();
void Pdp_gr_mod_main(),Pdp_gr_f_main();
void Pdp_gr_main(),Pdp_gr_hm_main(),Pdp_gr_d_main(),Pdp_gr_flags();
void Pdp_interreduce();
void Pdp_f4_main(),Pdp_f4_mod_main(),Pdp_f4_f_main();
void Pdp_gr_print();
void Pdp_mbase(),Pdp_lnf_mod(),Pdp_nf_tab_mod(),Pdp_mdtod(), Pdp_nf_tab_f();
void Pdp_vtoe(), Pdp_etov(), Pdp_dtov(), Pdp_idiv(), Pdp_sep();
void Pdp_cont();
void Pdp_gr_checklist();
void Pdp_ltod(),Pdpv_ord(),Pdpv_ht(),Pdpv_hm(),Pdpv_hc();
void Pdpm_ltod(),Pdpm_dtol(),Pdpm_set_schreyer(),Pdpm_nf(),Pdpm_weyl_nf(),Pdpm_sp(),Pdpm_weyl_sp(),Pdpm_nf_and_quotient(),Pdpm_nf_and_quotient2();
void Pdpm_schreyer_frame(),Pdpm_set_schreyer_level();
void Pdpm_list_to_array(),Pdpm_sp_nf(),Pdpm_insert_to_zlist();
void Pdpm_hm(),Pdpm_ht(),Pdpm_hc(),Pdpm_hp(),Pdpm_rest(),Pdpm_shift(),Pdpm_split(),Pdpm_extract(),Pdpm_sort(),Pdpm_dptodpm(),Pdpm_redble();
void Pdpm_schreyer_base(),Pdpm_simplify_syz(),Pdpm_td();
void Pdpm_remove_cont();
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(),Pdp_weyl_act();
void Pdp_weyl_set_weight();
void Pdp_set_weight(),Pdp_set_top_weight(),Pdp_set_module_weight();
void Pdp_nf_f(),Pdp_weyl_nf_f();
void Pdpm_nf_f(),Pdpm_weyl_nf_f();
void Pdp_lnf_f();
void Pnd_gr(),Pnd_gr_trace(),Pnd_f4(),Pnd_f4_trace();
void Pnd_sba(),Pnd_sba_f4();
void Pnd_weyl_sba();
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(),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();
int peek_option(NODE opt,char *find,Obj *ret);
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);
struct ftab dp_tab[] = {
/* content reduction */
{"dp_ptozp",Pdp_ptozp,1},
{"dp_ptozp2",Pdp_ptozp2,2},
{"dp_prim",Pdp_prim,1},
{"dp_red_coef",Pdp_red_coef,2},
{"dp_cont",Pdp_cont,1},
{"dpm_remove_cont",Pdpm_remove_cont,1},
/* polynomial ring */
/* special operations */
{"dp_mul_trunc",Pdp_mul_trunc,3},
{"dp_quo",Pdp_quo,2},
/* s-poly */
{"dp_sp",Pdp_sp,2},
{"dp_sp_mod",Pdp_sp_mod,3},
/* m-reduction */
{"dp_red",Pdp_red,3},
{"dp_red_mod",Pdp_red_mod,4},
/* normal form */
{"dp_nf",Pdp_nf,4},
{"dp_nf_mod",Pdp_nf_mod,5},
{"dp_nf_f",Pdp_nf_f,4},
{"dpm_nf_and_quotient",Pdpm_nf_and_quotient,-3},
{"dpm_nf_and_quotient2",Pdpm_nf_and_quotient2,-3},
{"dpm_nf_f",Pdpm_nf_f,-4},
{"dpm_weyl_nf_f",Pdpm_weyl_nf_f,-4},
{"dpm_nf",Pdpm_nf,-4},
{"dpm_sp",Pdpm_sp,2},
{"dpm_weyl_sp",Pdpm_weyl_sp,2},
{"dp_true_nf",Pdp_true_nf,4},
{"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},
{"dp_lnf_f",Pdp_lnf_f,2},
/* Buchberger algorithm */
{"dp_gr_main",Pdp_gr_main,-5},
{"dp_interreduce",Pdp_interreduce,3},
{"dp_gr_mod_main",Pdp_gr_mod_main,5},
{"dp_gr_f_main",Pdp_gr_f_main,4},
{"dp_gr_checklist",Pdp_gr_checklist,2},
{"nd_f4",Pnd_f4,-4},
{"nd_gr",Pnd_gr,-4},
{"nd_sba",Pnd_sba,-4},
{"nd_weyl_sba",Pnd_weyl_sba,-4},
{"nd_sba_f4",Pnd_sba_f4,-4},
{"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},
{"dp_f4_mod_main",Pdp_f4_mod_main,4},
/* weyl algebra */
/* 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},
/* m-reduction */
{"dp_weyl_red",Pdp_weyl_red,3},
/* normal form */
{"dp_weyl_nf",Pdp_weyl_nf,4},
{"dpm_weyl_nf",Pdpm_weyl_nf,-4},
{"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},
{"dp_weyl_gr_f_main",Pdp_weyl_gr_f_main,4},
/* F4 algorithm */
{"dp_weyl_f4_main",Pdp_weyl_f4_main,3},
{"dp_weyl_f4_mod_main",Pdp_weyl_f4_mod_main,4},
/* Hilbert function */
{"dp_monomial_hilbert_poincare",Pdp_monomial_hilbert_poincare,2},
{"dp_monomial_hilbert_poincare_incremental",Pdp_monomial_hilbert_poincare_incremental,3},
/* 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},
};
struct ftab dp_supp_tab[] = {
/* setting flags */
{"dp_sort",Pdp_sort,1},
{"dp_ord",Pdp_ord,-1},
{"dpm_set_schreyer",Pdpm_set_schreyer,-1},
{"dpm_set_schreyer_level",Pdpm_set_schreyer_level,1},
{"dpm_schreyer_frame",Pdpm_schreyer_frame,1},
{"dpv_ord",Pdpv_ord,-2},
{"dp_set_kara",Pdp_set_kara,-1},
{"dp_nelim",Pdp_nelim,-1},
{"dp_gr_flags",Pdp_gr_flags,-1},
{"dp_gr_print",Pdp_gr_print,-1},
/* converters */
{"homogenize",Phomogenize,3},
{"dp_ptod",Pdp_ptod,-2},
{"dp_dtop",Pdp_dtop,2},
{"dp_homo",Pdp_homo,1},
{"dp_dehomo",Pdp_dehomo,1},
{"dp_etov",Pdp_etov,1},
{"dp_vtoe",Pdp_vtoe,1},
{"dp_dtov",Pdp_dtov,1},
{"dp_mdtod",Pdp_mdtod,1},
{"dp_mod",Pdp_mod,3},
{"dp_rat",Pdp_rat,1},
{"dp_ltod",Pdp_ltod,-2},
{"dpm_ltod",Pdpm_ltod,2},
{"dpm_dptodpm",Pdpm_dptodpm,2},
{"dpm_dtol",Pdpm_dtol,2},
{"dpm_homo",Pdpm_homo,1},
{"dpm_dehomo",Pdpm_dehomo,1},
{"dpm_mod",Pdpm_mod,2},
/* criteria */
{"dp_cri1",Pdp_cri1,2},
{"dp_cri2",Pdp_cri2,2},
{"dp_criB",Pdp_criB,3},
/* simple operation */
{"dp_subd",Pdp_subd,2},
{"dp_lcm",Pdp_lcm,2},
{"dp_hm",Pdp_hm,1},
{"dp_ht",Pdp_ht,1},
{"dp_hc",Pdp_hc,1},
{"dpv_hm",Pdpv_hm,1},
{"dpv_ht",Pdpv_ht,1},
{"dpv_hc",Pdpv_hc,1},
{"dpm_hm",Pdpm_hm,1},
{"dpm_ht",Pdpm_ht,1},
{"dpm_hc",Pdpm_hc,1},
{"dpm_hp",Pdpm_hp,1},
{"dpm_rest",Pdpm_rest,1},
{"dpm_shift",Pdpm_shift,2},
{"dpm_split",Pdpm_split,2},
{"dpm_extract",Pdpm_extract,2},
{"dpm_sort",Pdpm_sort,1},
{"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},
{"dp_mag",Pdp_mag,1},
{"dp_sugar",Pdp_sugar,1},
{"dp_set_sugar",Pdp_set_sugar,2},
{"dpm_td",Pdpm_td,1},
/* misc */
{"dp_mbase",Pdp_mbase,1},
{"dp_redble",Pdp_redble,2},
{"dpm_redble",Pdpm_redble,2},
{"dp_sep",Pdp_sep,2},
{"dp_idiv",Pdp_idiv,2},
{"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},
{"dpm_schreyer_base",Pdpm_schreyer_base,1},
{"dpm_list_to_array",Pdpm_list_to_array,1},
{"dpm_sp_nf",Pdpm_sp_nf,4},
{"dpm_insert_to_zlist",Pdpm_insert_to_zlist,3},
{"dpm_simplify_syz",Pdpm_simplify_syz,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);
int comp_by_tdeg(DP *a,DP *b)
{
int da,db;
da = BDY(*a)->dl->td;
db = BDY(*b)->dl->td;
if ( da>db ) return 1;
else if ( da<db ) return -1;
else return 0;
}
void dl_print(DL d,int n)
{
int i;
printf("<<");
for ( i = 0; i < n; i++ )
printf("%d ",d->d[i]);
printf(">>\n");
}
int simple_check(VECT b,int nv)
{
int n,i,j;
DL *p;
n = b->len; p = (DL *)b->body;
for ( i = 0; i < n; i++ ) {
for ( j = 0; j < nv; j++ ) {
if ( p[i]->d[j] ) break;
}
if ( p[i]->d[j] != p[i]->td ) return 0;
}
return 1;
}
void make_reduced(VECT b,int nv)
{
int n,i,j;
DL *p;
DL pi;
n = b->len;
p = (DL *)BDY(b);
for ( i = 0; i < n; i++ ) {
pi = p[i];
if ( !pi ) continue;
for ( j = 0; j < n; j++ )
if ( i != j && p[j] && _dl_redble(pi,p[j],nv) ) p[j] = 0;
}
for ( i = j = 0; i < n; i++ )
if ( p[i] ) p[j++] = p[i];
b->len = j;
}
void make_reduced2(VECT b,int k,int nv)
{
int n,i,j,l;
DL *p;
DL pi;
n = b->len;
p = (DL *)BDY(b);
for ( i = l = k; i < n; i++ ) {
pi = p[i];
for ( j = 0; j < k; j++ )
if ( _dl_redble(p[j],pi,nv) ) break;
if ( j == k )
p[l++] = pi;
}
b->len = l;
}
int i_all,i_simple;
P mhp_simple(VECT b,VECT x,P t)
{
int n,i,j,nv;
DL *p;
P hp,mt,s,w;
Z z;
n = b->len; nv = x->len; p = (DL *)BDY(b);
hp = (P)ONE;
for ( i = 0; i < n; i++ ) {
for ( j = 0; j < nv; j++ )
if ( p[i]->d[j] ) break;
STOZ(p[i]->d[j],z);
chsgnp(t,&mt); mt->dc->d =z;
addp(CO,mt,(P)ONE,&s); mulp(CO,hp,s,&w); hp = w;
}
return hp;
}
struct oEGT eg_comp;
void mhp_rec(VECT b,VECT x,P t,P *r)
{
int n,i,j,k,l,i2,nv,len;
int *d;
Z mone,z;
DCP dc,dc1;
P s;
P *r2;
DL *p,*q;
DL pi,xj,d1;
VECT c;
struct oEGT eg0,eg1;
i_all++;
n = b->len; nv = x->len; p = (DL *)BDY(b);
if ( !n ) {
r[0] = (P)ONE;
return;
}
if ( n == 1 && p[0]->td == 0 )
return;
for ( i = 0; i < n; i++ )
if ( p[i]->td > 1 ) break;
if ( i == n ) {
r[n] = (P)ONE;
return;
}
#if 0
if ( simple_check(b,nv) ) {
i_simple++;
r[0] = mhp_simple(b,x,t);
return;
}
#endif
for ( j = 0, d = p[i]->d; j < nv; j++ )
if ( d[j] ) break;
xj = BDY(x)[j];
MKVECT(c,n); q = (DL *)BDY(c);
for ( i = k = l = 0; i < n; i++ )
if ( p[i]->d[j] ) {
pi = p[i];
NEWDL(d1,nv); d1->td =pi->td - 1;
memcpy(d1->d,pi->d,nv*sizeof(int));
d1->d[j]--;
p[k++] = d1;
} else
q[l++] = p[i];
for ( i = k, i2 = 0; i2 < l; i++, i2++ )
p[i] = q[i2];
/* b=(b[0]/xj,...,b[k-1]/xj,b[k],...b[n-1]) where
b[0],...,b[k-1] are divisible by k */
make_reduced2(b,k,nv);
mhp_rec(b,x,t,r);
/* c = (b[0],...,b[l-1],xj) */
q[l] = xj; c->len = l+1;
r2 = (P *)CALLOC(nv+1,sizeof(P));
mhp_rec(c,x,t,r2);
// get_eg(&eg0);
for ( i = 0; i <= nv; i++ ) {
mulp(CO,r[i],t,&s); addp(CO,s,r2[i],&r[i]);
}
// get_eg(&eg1); add_eg(&eg_comp,&eg0,&eg1);
}
P mhp_rec_weight(VECT b,VECT x,P t,int *w)
{
int n,i,j,k,l,i2,nv,len,td;
int *d;
Z wj;
P twj,tmp,tmp2,ret,qadd,qcolon;
DL *p,*q;
DL pi,xj,d1;
VECT c;
i_all++;
n = b->len; nv = x->len; p = (DL *)BDY(b);
if ( !n ) {
// I=<0> => HP(t)=1/(1-t^w1)...(1-t^wn) => Q(t)=1
return (P)ONE;
}
if ( n == 1 && p[0]->td == 0 ) {
// I=<1> => HP(t)=0 => Q(t)=0
return 0;
}
for ( i = 0; i < n; i++ ) {
d = p[i]->d;
for ( td = 0, j = 0; j < nv; j++ ) td += d[j];
if (td > 1 ) break;
}
if ( i == n ) {
// I=<xi1,...,xin> => Q(t)=(1-t^wi1)...(1-t^win)
for ( ret = (P)ONE, i = 0; i < n; i++ ) {
d = p[i]->d;
for ( j = 0; j < nv; j++ ) if ( d[j] ) break;
STOZ(w[j],wj); pwrp(CO,t,wj,&tmp);
subp(CO,(P)ONE,tmp,&tmp2); mulp(CO,ret,tmp2,&tmp); ret = tmp;
}
return ret;
}
for ( j = 0, d = p[i]->d; j < nv; j++ )
if ( d[j] ) break;
xj = BDY(x)[j];
MKVECT(c,n); q = (DL *)BDY(c);
for ( i = k = l = 0; i < n; i++ )
if ( p[i]->d[j] ) {
pi = p[i];
NEWDL(d1,nv); d1->td =pi->td - 1;
memcpy(d1->d,pi->d,nv*sizeof(int));
d1->d[j]--;
p[k++] = d1;
} else
q[l++] = p[i];
for ( i = k, i2 = 0; i2 < l; i++, i2++ )
p[i] = q[i2];
/* b=(b[0]/xj,...,b[k-1]/xj,b[k],...b[n-1]) where
b[0],...,b[k-1] are divisible by k */
make_reduced2(b,k,nv);
qcolon = mhp_rec_weight(b,x,t,w);
/* c = (b[0],...,b[l-1],xj) */
q[l] = xj; c->len = l+1;
qadd = mhp_rec_weight(c,x,t,w);
// Q(t)=Qadd+t^wj*Qcolon
STOZ(w[j],wj); pwrp(CO,t,wj,&twj);
mulp(CO,twj,qcolon,&tmp); addp(CO,qadd,tmp,&ret);
return ret;
}
/* (n+a)Cb as a polynomial of n; return (n+a)*...*(n+a-b+1) */
P binpoly(P n,int a,int b)
{
Z z;
P s,r,t;
int i;
STOZ(a,z); addp(CO,n,(P)z,&s); r = (P)ONE;
for ( i = 0; i < b; i++ ) {
mulp(CO,r,s,&t); r = t;
subp(CO,s,(P)ONE,&t); s = t;
}
return r;
}
void ibin(unsigned long int n,unsigned long int k,Z *r);
void mhp_to_hf(VL vl,P hp,int n,P *plist,VECT *head,P *hf)
{
P tv,gcd,q,h,hphead,tt,ai,hpoly,nv,bp,w;
Z d,z;
DCP dc,topdc;
VECT hfhead;
int i,s,qd;
if ( !hp ) {
MKVECT(hfhead,0); *head = hfhead;
*hf = 0;
} else {
makevar("t",&tv);
ezgcdp(CO,hp,plist[n],&gcd);
if ( NUM(gcd) ) {
s = n;
q = hp;
} else {
s = n-ZTOS(DEG(DC(gcd)));
divsp(CO,hp,plist[n-s],&q);
}
if ( NUM(q) ) qd = 0;
else qd = ZTOS(DEG(DC(q)));
if ( s == 0 ) {
MKVECT(hfhead,qd+1);
for ( i = 0; i <= qd; i++ ) {
coefp(q,i,(P *)&BDY(hfhead)[i]);
}
*head = hfhead;
*hf = 0;
} else {
if ( qd ) {
topdc = 0;
for ( i = 0; i < qd; i++ ) {
NEWDC(dc); NEXT(dc) = topdc;
ibin(i+s-1,s-1,(Z *)&COEF(dc));
STOZ(i,d); DEG(dc) = d;
topdc = dc;
}
MKP(VR(tv),topdc,h);
mulp(CO,h,q,&hphead);
}
MKVECT(hfhead,qd);
for ( i = 0; i < qd; i++ )
coefp(hphead,i,(P *)&BDY(hfhead)[i]);
*head = hfhead;
hpoly = 0;
makevar("n",&nv);
for ( i = 0; i <= qd; i++ ) {
coefp(q,i,&ai);
bp = binpoly(nv,s-i-1,s-1);
mulp(CO,ai,bp,&tt);
addp(CO,hpoly,tt,&w);
hpoly = w;
}
if ( s > 2 ) {
factorialz(s-1,&z);
divsp(CO,hpoly,(P)z,&tt); hpoly = tt;
}
*hf = hpoly;
for ( i = qd-1; i >= 0; i-- ) {
UTOZ(i,z);
substp(CO,hpoly,VR(nv),(P)z,&tt);
if ( cmpz((Z)tt,(Z)BDY(hfhead)[i]) ) break;
}
hfhead->len = i+1;
}
}
}
/* create (1,1-t,...,(1-t)^n) */
P *mhp_prep(int n,P *tv) {
P *plist;
P mt,t1;
int i;
VECT list;
plist = (P *)MALLOC((n+1)*sizeof(P));
/* t1 = 1-t */
makevar("t",tv); chsgnp(*tv,&mt); addp(CO,mt,(P)ONE,&t1);
for ( plist[0] = (P)ONE, i = 1; i <= n; i++ )
mulp(CO,plist[i-1],t1,&plist[i]);
return plist;
}
P mhp_ctop(P *r,P *plist,int n)
{
int i;
P hp,u,w;
for ( hp = 0, i = 0; i <= n; i++ ) {
mulp(CO,plist[i],r[i],&u); addp(CO,u,hp,&w); hp = w;
}
return hp;
}
LIST dp_monomial_hilbert_poincare(VECT b,VECT x)
{
int n;
P *r,*plist;
P tv;
P hp,hpoly;
VECT hfhead;
Z z;
NODE nd;
VECT vect;
LIST list;
n = x->len;
plist = mhp_prep(n,&tv);
r = (P *)CALLOC(n+1,sizeof(P));
make_reduced(b,n);
mhp_rec(b,x,tv,r);
hp = mhp_ctop(r,plist,n);
mhp_to_hf(CO,hp,n,plist,&hfhead,&hpoly);
UTOZ(n,z);
NEWVECT(vect); vect->len = n+1; BDY(vect) = (pointer)plist;
nd = mknode(5,hp,z,hfhead,hpoly,vect);
MKLIST(list,nd);
return list;
}
LIST dp_monomial_hilbert_poincare_weight(VECT b,VECT x,int *w)
{
int n,i;
NODE nd;
LIST list;
P tv,ret;
n = x->len;
make_reduced(b,n);
makevar("t",&tv);
ret = mhp_rec_weight(b,x,tv,w);
nd = mknode(1,ret);
MKLIST(list,nd);
return list;
}
void Pdp_monomial_hilbert_poincare(NODE arg,LIST *rp)
{
LIST g,v;
VL vl;
int m,n,i,wlen;
VECT b,x,hfhead,prep;
NODE t,nd;
Z z,den;
P hp,tv,mt,t1,u,hpoly;
DP a;
DL *p;
Obj val,ord,weight;
int *w;
struct order_spec *current_spec=0,*spec;
weight = 0;
if ( current_option ) {
if ( peek_option(current_option,"ord",&ord) ) {
current_spec = dp_current_spec;
create_order_spec(0,ord,&spec);
initd(spec);
}
peek_option(current_option,"weight",&weight);
}
i_simple = i_all = 0;
g = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
pltovl(v,&vl);
m = length(BDY(g)); MKVECT(b,m); p = (DL *)BDY(b);
for ( t = BDY(g), i = 0; t; t = NEXT(t), i++ ) {
if ( !BDY(t) )
p[i] = 0;
else {
ptod(CO,vl,(P)BDY(t),&a); p[i] = BDY(a)->dl;
}
}
n = length(BDY(v)); MKVECT(x,n); p = (DL *)BDY(x);
for ( t = BDY(v), i = 0; t; t = NEXT(t), i++ ) {
ptod(CO,vl,(P)BDY(t),&a); p[i] = BDY(a)->dl;
}
if ( weight ) {
wlen = length(BDY((LIST)weight));
if ( n != wlen )
error("dp_monomial_hilbert_poincare: inconsistent weight length");
w = (int *)MALLOC(n*sizeof(int));
for ( i = 0, nd = BDY((LIST)weight); i < n; i++, nd = NEXT(nd) )
w[i] = ZTOS((Z)BDY(nd));
} else if ( current_dl_weight_vector )
w = current_dl_weight_vector;
else
w = 0;
if ( w ) {
*rp = dp_monomial_hilbert_poincare_weight(b,x,w);
} else {
*rp = dp_monomial_hilbert_poincare(b,x);
}
if ( current_spec )
initd(current_spec);
}
DL monomial_colon(DL a,DL b,int n)
{
int i,d,td;
DL r;
NEWDL(r,n);
td = 0;
for ( i = 0; i < n; i++ ) {
d = a->d[i]-b->d[i];
r->d[i] = MAX(d,0);
td += r->d[i];
}
r->td = td;
return r;
}
// arguments : DPlist, Xlist, Mono, [HN(t),NV,Head,HP(n),Plist]
void Pdp_monomial_hilbert_poincare_incremental(NODE arg,LIST *rp)
{
NODE g,data,data1,nd,t;
LIST list,list1;
DL new,dl;
int len,i,n;
Z dz;
DL *p;
P hn,hn1,newhn,tv,newhpoly,td,s;
VECT b,x,newhfhead;
P *plist;
Obj ord;
struct order_spec *current_spec=0,*spec;
if ( current_option ) {
if ( peek_option(current_option,"ord",&ord) ) {
current_spec = dp_current_spec;
create_order_spec(0,ord,&spec);
initd(spec);
}
}
g = BDY((LIST)ARG0(arg)); new = BDY((DP)ARG1(arg))->dl;
data = BDY((LIST)ARG2(arg));
hn = (P)ARG0(data); n = ZTOS((Z)ARG1(data));
len = length(g); MKVECT(b,len); p = (DL *)BDY(b);
for ( t = g, i = 0; t; t = NEXT(t), i++ )
p[i] = monomial_colon(BDY((DP)BDY(t))->dl,new,n);
MKVECT(x,n);
for ( i = 0; i < n; i++ ) {
NEWDL(dl,n); dl->d[i] = 1; dl->td = 1; BDY(x)[i] = dl;
}
// compute HP(I:new)
list1 = dp_monomial_hilbert_poincare(b,x);
data1 = BDY((LIST)list1);
hn1 = (P)ARG0(data1);
// HP(I+<new>) = H(I)-t^d*H(I:new), d=tdeg(new)
plist = mhp_prep(n,&tv);
UTOZ(new->td,dz);
pwrp(CO,tv,dz,&td);
mulp(CO,hn1,td,&s);
subp(CO,hn,s,&newhn);
mhp_to_hf(CO,newhn,n,plist,&newhfhead,&newhpoly);
nd = mknode(5,newhn,ARG1(data),newhfhead,newhpoly,(VECT)ARG4(data));
MKLIST(list,nd);
*rp = list;
if ( current_spec )
initd(current_spec);
}
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;
VECT w,rv;
LIST l;
MAT w1,w2;
int row1,row2,i,j,n;
int *v;
int **m1,**m2;
Z q;
g = (NODE)BDY((LIST)ARG0(arg));
gh = (NODE)BDY((LIST)ARG1(arg));
w = (VECT)ARG2(arg);
w1 = (MAT)ARG3(arg);
w2 = (MAT)ARG4(arg);
n = w1->col;
row1 = w1->row;
row2 = w2->row;
if ( w ) {
v = W_ALLOC(n);
for ( i = 0; i < n; i++ ) v[i] = ZTOS((Q)w->body[i]);
} else v = 0;
m1 = almat(row1,n);
for ( i = 0; i < row1; i++ )
for ( j = 0; j < n; j++ ) m1[i][j] = ZTOS((Q)w1->body[i][j]);
m2 = almat(row2,n);
for ( i = 0; i < row2; i++ )
for ( j = 0; j < n; j++ ) m2[i][j] = ZTOS((Q)w2->body[i][j]);
r = compute_last_w(g,gh,n,&v,row1,m1,row2,m2);
if ( !r ) *rp = 0;
else {
MKVECT(rv,n);
for ( i = 0; i < n; i++ ) {
STOZ(v[i],q); rv->body[i] = (pointer)q;
}
MKLIST(l,r);
r = mknode(2,rv,l);
MKLIST(*rp,r);
}
}
NODE compute_essential_df(DP *g,DP *gh,int n);
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;
LIST list;
do_weyl = 0; dp_fcoeffs = 0;
asir_assert(ARG0(arg),O_LIST,"dp_inv_or_split");
asir_assert(ARG1(arg),O_DP,"dp_inv_or_split");
if ( !create_order_spec(0,(Obj)ARG2(arg),&spec) )
error("dp_inv_or_split : invalid order specification");
gb = BDY((LIST)ARG0(arg));
f = (DP)ARG1(arg);
newgb = (NODE)dp_inv_or_split(gb,f,spec,&inv);
if ( !newgb ) {
/* invertible */
*rp = (Obj)inv;
} else {
MKLIST(list,newgb);
*rp = (Obj)list;
}
}
void Pdp_sort(NODE arg,DP *rp)
{
dp_sort((DP)ARG0(arg),rp);
}
void Pdp_mdtod(NODE arg,DP *rp)
{
MP m,mr,mr0;
DP p;
P t;
p = (DP)ARG0(arg);
if ( !p )
*rp = 0;
else {
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
mptop((P)m->c,&t); NEXTMP(mr0,mr); mr->c = (Obj)t; mr->dl = m->dl;
}
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar;
}
}
void Pdp_sep(NODE arg,VECT *rp)
{
DP p,r;
MP m,t;
MP *w0,*w;
int i,n,d,nv,sugar;
VECT v;
pointer *pv;
p = (DP)ARG0(arg); m = BDY(p);
d = ZTOS((Q)ARG1(arg));
for ( t = m, n = 0; t; t = NEXT(t), n++ );
if ( d > n )
d = n;
MKVECT(v,d); *rp = v;
pv = BDY(v); nv = p->nv; sugar = p->sugar;
w0 = (MP *)MALLOC(d*sizeof(MP)); bzero(w0,d*sizeof(MP));
w = (MP *)MALLOC(d*sizeof(MP)); bzero(w,d*sizeof(MP));
for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, i %= d ) {
NEXTMP(w0[i],w[i]); w[i]->c = t->c; w[i]->dl = t->dl;
}
for ( i = 0; i < d; i++ ) {
NEXT(w[i]) = 0; MKDP(nv,w0[i],r); r->sugar = sugar;
pv[i] = (pointer)r;
}
}
void Pdp_idiv(NODE arg,DP *rp)
{
dp_idiv((DP)ARG0(arg),(Z)ARG1(arg),rp);
}
void Pdp_cont(NODE arg,Z *rp)
{
dp_cont((DP)ARG0(arg),rp);
}
void dpm_ptozp(DPM p,Z *cont,DPM *r);
void Pdpm_remove_cont(NODE arg,LIST *rp)
{
NODE nd;
Z cont;
DPM p;
dpm_ptozp((DPM)ARG0(arg),&cont,&p);
nd = mknode(2,cont,p);
MKLIST(*rp,nd);
}
void Pdp_dtov(NODE arg,VECT *rp)
{
dp_dtov((DP)ARG0(arg),rp);
}
void Pdp_mbase(NODE arg,LIST *rp)
{
NODE mb;
asir_assert(ARG0(arg),O_LIST,"dp_mbase");
dp_mbase(BDY((LIST)ARG0(arg)),&mb);
MKLIST(*rp,mb);
}
void Pdp_etov(NODE arg,VECT *rp)
{
DP dp;
int n,i;
int *d;
VECT v;
Z t;
dp = (DP)ARG0(arg);
asir_assert(dp,O_DP,"dp_etov");
n = dp->nv; d = BDY(dp)->dl->d;
MKVECT(v,n);
for ( i = 0; i < n; i++ ) {
STOZ(d[i],t); v->body[i] = (pointer)t;
}
*rp = v;
}
void Pdp_vtoe(NODE arg,DP *rp)
{
DP dp;
DL dl;
MP m;
int n,i,td;
int *d;
VECT v;
v = (VECT)ARG0(arg);
asir_assert(v,O_VECT,"dp_vtoe");
n = v->len;
NEWDL(dl,n); d = dl->d;
for ( i = 0, td = 0; i < n; i++ ) {
d[i] = ZTOS((Q)(v->body[i])); td += MUL_WEIGHT(d[i],i);
}
dl->td = td;
NEWMP(m); m->dl = dl; m->c = (Obj)ONE; NEXT(m) = 0;
MKDP(n,m,dp); dp->sugar = td;
*rp = dp;
}
void Pdp_lnf_mod(NODE arg,LIST *rp)
{
DP r1,r2;
NODE b,g,n;
int mod;
asir_assert(ARG0(arg),O_LIST,"dp_lnf_mod");
asir_assert(ARG1(arg),O_LIST,"dp_lnf_mod");
asir_assert(ARG2(arg),O_N,"dp_lnf_mod");
b = BDY((LIST)ARG0(arg)); g = BDY((LIST)ARG1(arg));
mod = ZTOS((Q)ARG2(arg));
dp_lnf_mod((DP)BDY(b),(DP)BDY(NEXT(b)),g,mod,&r1,&r2);
NEWNODE(n); BDY(n) = (pointer)r1;
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)r2;
NEXT(NEXT(n)) = 0; MKLIST(*rp,n);
}
void Pdp_lnf_f(NODE arg,LIST *rp)
{
DP r1,r2;
NODE b,g,n;
asir_assert(ARG0(arg),O_LIST,"dp_lnf_f");
asir_assert(ARG1(arg),O_LIST,"dp_lnf_f");
b = BDY((LIST)ARG0(arg)); g = BDY((LIST)ARG1(arg));
dp_lnf_f((DP)BDY(b),(DP)BDY(NEXT(b)),g,&r1,&r2);
NEWNODE(n); BDY(n) = (pointer)r1;
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)r2;
NEXT(NEXT(n)) = 0; MKLIST(*rp,n);
}
void Pdp_nf_tab_mod(NODE arg,DP *rp)
{
asir_assert(ARG0(arg),O_DP,"dp_nf_tab_mod");
asir_assert(ARG1(arg),O_VECT,"dp_nf_tab_mod");
asir_assert(ARG2(arg),O_N,"dp_nf_tab_mod");
dp_nf_tab_mod((DP)ARG0(arg),(LIST *)BDY((VECT)ARG1(arg)),
ZTOS((Q)ARG2(arg)),rp);
}
void Pdp_nf_tab_f(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);
}
extern int dpm_ordtype;
void Pdp_ord(NODE arg,Obj *rp)
{
struct order_spec *spec;
LIST v;
struct oLIST f;
Num homo;
int modular;
f.id = O_LIST; f.body = 0;
if ( !arg && !current_option )
*rp = dp_current_spec->obj;
else {
if ( current_option )
parse_gr_option(&f,current_option,&v,&homo,&modular,&spec);
else if ( !create_order_spec(0,(Obj)ARG0(arg),&spec) )
error("dp_ord : invalid order specification");
initd(spec); *rp = spec->obj;
if ( spec->id >= 256 ) dpm_ordtype = spec->module_ordtype;
}
}
void Pdp_ptod(NODE arg,DP *rp)
{
P p;
NODE n;
VL vl,tvl;
struct oLIST f;
int ac;
LIST v;
Num homo;
int modular;
struct order_spec *ord;
asir_assert(ARG0(arg),O_P,"dp_ptod");
p = (P)ARG0(arg);
ac = argc(arg);
if ( ac == 1 ) {
if ( current_option ) {
f.id = O_LIST; f.body = mknode(1,p);
parse_gr_option(&f,current_option,&v,&homo,&modular,&ord);
initd(ord);
} else
error("dp_ptod : invalid argument");
} else {
asir_assert(ARG1(arg),O_LIST,"dp_ptod");
v = (LIST)ARG1(arg);
}
for ( vl = 0, n = BDY(v); n; n = NEXT(n) ) {
if ( !vl ) {
NEWVL(vl); tvl = vl;
} else {
NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
}
VR(tvl) = VR((P)BDY(n));
}
if ( vl )
NEXT(tvl) = 0;
ptod(CO,vl,p,rp);
}
void Phomogenize(NODE arg,Obj *rp)
{
P p;
DP d,h;
NODE n;
V hv;
VL vl,tvl,last;
struct oLIST f;
LIST v;
asir_assert(ARG0(arg),O_P,"homogenize");
p = (P)ARG0(arg);
asir_assert(ARG1(arg),O_LIST,"homogenize");
v = (LIST)ARG1(arg);
asir_assert(ARG2(arg),O_P,"homogenize");
hv = VR((P)ARG2(arg));
for ( vl = 0, n = BDY(v); n; n = NEXT(n) ) {
if ( !vl ) {
NEWVL(vl); tvl = vl;
} else {
NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
}
VR(tvl) = VR((P)BDY(n));
}
if ( vl ) {
last = tvl;
NEXT(tvl) = 0;
}
ptod(CO,vl,p,&d);
dp_homo(d,&h);
NEWVL(NEXT(last)); last = NEXT(last);
VR(last) = hv; NEXT(last) = 0;
dtop(CO,vl,h,rp);
}
void Pdp_ltod(NODE arg,DPV *rp)
{
NODE n;
VL vl,tvl;
LIST f,v;
int sugar,i,len,ac,modular;
Num homo;
struct order_spec *ord;
DP *e;
NODE nd,t;
ac = argc(arg);
asir_assert(ARG0(arg),O_LIST,"dp_ptod");
f = (LIST)ARG0(arg);
if ( ac == 1 ) {
if ( current_option ) {
parse_gr_option(f,current_option,&v,&homo,&modular,&ord);
initd(ord);
} else
error("dp_ltod : invalid argument");
} else {
asir_assert(ARG1(arg),O_LIST,"dp_ptod");
v = (LIST)ARG1(arg);
}
for ( vl = 0, n = BDY(v); n; n = NEXT(n) ) {
if ( !vl ) {
NEWVL(vl); tvl = vl;
} else {
NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
}
VR(tvl) = VR((P)BDY(n));
}
if ( vl )
NEXT(tvl) = 0;
nd = BDY(f);
len = length(nd);
e = (DP *)MALLOC(len*sizeof(DP));
sugar = 0;
for ( i = 0, t = nd; i < len; i++, t = NEXT(t) ) {
ptod(CO,vl,(P)BDY(t),&e[i]);
if ( e[i] )
sugar = MAX(sugar,e[i]->sugar);
}
MKDPV(len,e,*rp);
}
void Pdpm_ltod(NODE arg,DPM *rp)
{
NODE n;
VL vl,tvl;
LIST f,v;
int i,len;
NODE nd;
NODE t;
DP d;
DPM s,u,w;
f = (LIST)ARG0(arg);
v = (LIST)ARG1(arg);
for ( vl = 0, n = BDY(v); n; n = NEXT(n) ) {
if ( !vl ) {
NEWVL(vl); tvl = vl;
} else {
NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
}
VR(tvl) = VR((P)BDY(n));
}
if ( vl )
NEXT(tvl) = 0;
nd = BDY(f);
len = length(nd);
for ( i = 1, t = nd, s = 0; i <= len; i++, t = NEXT(t) ) {
ptod(CO,vl,(P)BDY(t),&d);
dtodpm(d,i,&u);
adddpm(CO,s,u,&w); s = w;
}
*rp = s;
}
// c*[monomial,i]+... -> c*<<monomial:i>>+...
void Pdpm_dptodpm(NODE arg,DPM *rp)
{
DP p;
MP mp;
int pos,shift;
DMM m0,m;
p = (DP)ARG0(arg);
pos = ZTOS((Z)ARG1(arg));
if ( pos <= 0 )
error("dpm_mtod : position must be positive");
if ( !p ) *rp = 0;
else {
for ( m0 = 0, mp = BDY(p); mp; mp = NEXT(mp) ) {
NEXTDMM(m0,m); m->dl = mp->dl; m->c = mp->c; m->pos = pos;
}
if ( dp_current_spec->module_top_weight ) {
if ( pos > dp_current_spec->module_rank )
error("dpm_dptodpm : inconsistent order spec");
shift = dp_current_spec->module_top_weight[pos-1];
m->dl->td += shift;
} else
shift = 0;
MKDPM(p->nv,m0,*rp); (*rp)->sugar = p->sugar+shift;
}
}
void Pdpm_dtol(NODE arg,LIST *rp)
{
DPM a;
NODE nd,nd1;
VL vl,tvl;
int n,len,i,pos,nv;
MP *w;
DMM t;
DMM *wa;
MP m;
DP u;
Obj s;
a = (DPM)ARG0(arg);
if ( !a ) {
MKLIST(*rp,0);
return;
}
for ( vl = 0, nd = BDY((LIST)ARG1(arg)), nv = 0; nd; nd = NEXT(nd), nv++ ) {
if ( !vl ) {
NEWVL(vl); tvl = vl;
} else {
NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
}
VR(tvl) = VR((P)BDY(nd));
}
if ( vl )
NEXT(tvl) = 0;
for ( t = BDY(a), n = 0; t; t = NEXT(t) )
if ( t->pos > n ) n = t->pos;
w = (MP *)CALLOC(n,sizeof(MP));
for ( t = BDY(a), len = 0; t; t = NEXT(t) ) len++;
wa = (DMM *)MALLOC(len*sizeof(DMM));
for ( t = BDY(a), i = 0; t; t = NEXT(t), i++ ) wa[i] = t;
for ( i = len-1; i >= 0; i-- ) {
NEWMP(m); m->dl = wa[i]->dl; C(m) = C(wa[i]);
pos = wa[i]->pos;
NEXT(m) = w[pos-1];
w[pos-1] = m;
}
nd = 0;
for ( i = n-1; i >= 0; i-- ) {
MKDP(nv,w[i],u); u->sugar = a->sugar; /* XXX */
dtop(CO,vl,u,&s);
MKNODE(nd1,s,nd); nd = nd1;
}
MKLIST(*rp,nd);
}
void Pdp_dtop(NODE arg,Obj *rp)
{
NODE n;
VL vl,tvl;
asir_assert(ARG0(arg),O_DP,"dp_dtop");
asir_assert(ARG1(arg),O_LIST,"dp_dtop");
for ( vl = 0, n = BDY((LIST)ARG1(arg)); n; n = NEXT(n) ) {
if ( !vl ) {
NEWVL(vl); tvl = vl;
} else {
NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
}
VR(tvl) = VR((P)BDY(n));
}
if ( vl )
NEXT(tvl) = 0;
dtop(CO,vl,(DP)ARG0(arg),rp);
}
extern LIST Dist;
void Pdp_ptozp(NODE arg,Obj *rp)
{
Z t;
NODE tt,p;
NODE n,n0;
char *key;
DP pp;
LIST list;
int get_factor=0;
asir_assert(ARG0(arg),O_DP,"dp_ptozp");
/* analyze the option */
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,"factor") ) get_factor=1;
else {
error("ptozp: unknown option.");
}
}
}
dp_ptozp3((DP)ARG0(arg),&t,&pp);
/* printexpr(NULL,t); */
/* if the option factor is given, then it returns the answer
in the format [zpoly, num] where num*zpoly is equal to the argument.*/
if (get_factor) {
n0 = mknode(2,pp,t);
MKLIST(list,n0);
*rp = (Obj)list;
} else
*rp = (Obj)pp;
}
void Pdp_ptozp2(NODE arg,LIST *rp)
{
DP p0,p1,h,r;
NODE n0;
p0 = (DP)ARG0(arg); p1 = (DP)ARG1(arg);
asir_assert(p0,O_DP,"dp_ptozp2");
asir_assert(p1,O_DP,"dp_ptozp2");
dp_ptozp2(p0,p1,&h,&r);
NEWNODE(n0); BDY(n0) = (pointer)h;
NEWNODE(NEXT(n0)); BDY(NEXT(n0)) = (pointer)r;
NEXT(NEXT(n0)) = 0;
MKLIST(*rp,n0);
}
void Pdp_prim(NODE arg,DP *rp)
{
DP t;
asir_assert(ARG0(arg),O_DP,"dp_prim");
dp_prim((DP)ARG0(arg),&t); dp_ptozp(t,rp);
}
void Pdp_mod(NODE arg,DP *rp)
{
DP p;
int mod;
NODE subst;
asir_assert(ARG0(arg),O_DP,"dp_mod");
asir_assert(ARG1(arg),O_N,"dp_mod");
asir_assert(ARG2(arg),O_LIST,"dp_mod");
p = (DP)ARG0(arg); mod = ZTOS((Q)ARG1(arg));
subst = BDY((LIST)ARG2(arg));
dp_mod(p,mod,subst,rp);
}
void dpm_mod(DPM,int,DPM *);
void Pdpm_mod(NODE arg,DPM *rp)
{
DPM p;
int mod;
NODE subst;
asir_assert(ARG0(arg),O_DP,"dp_mod");
asir_assert(ARG1(arg),O_N,"dp_mod");
p = (DPM)ARG0(arg); mod = ZTOS((Q)ARG1(arg));
dpm_mod(p,mod,rp);
}
void Pdp_rat(NODE arg,DP *rp)
{
asir_assert(ARG0(arg),O_DP,"dp_rat");
dp_rat((DP)ARG0(arg),rp);
}
extern int DP_Multiple;
int dp_iszp(DP);
int dpm_iszp(DPM);
DP dptozdp(DP g)
{
DP gz;
if ( dp_iszp(g) )
gz = g;
else
dp_ptozp(g,&gz);
return gz;
}
VECT dpvtozdpv(VECT v)
{
DP *ps,*psz;
int len,i;
VECT r;
ps = (DP *)BDY(v);
len = v->len;
for ( i = 0; i < len; i++ )
if ( !dp_iszp(ps[i]) ) break;
if ( i == len ) return v;
MKVECT(r,len);
psz = (DP *)BDY(r);
for ( i = 0; i < len; i++ )
psz[i] = dptozdp(ps[i]);
return r;
}
DPM dpmtozdpm(DPM g)
{
DPM gz;
Z cont;
if ( dpm_iszp(g) )
gz = g;
else
dpm_ptozp(g,&cont,&gz);
return gz;
}
VECT dpmvtozdpmv(VECT v)
{
DPM *ps,*psz;
int len,i;
VECT r;
ps = (DPM *)BDY(v);
len = v->len;
for ( i = 0; i < len; i++ )
if ( !dpm_iszp(ps[i]) ) break;
if ( i == len ) return v;
MKVECT(r,len);
psz = (DPM *)BDY(r);
for ( i = 0; i < len; i++ )
psz[i] = dpmtozdpm(ps[i]);
return r;
}
void Pdp_nf(NODE arg,DP *rp)
{
NODE b;
DP *ps;
DP g;
VECT zv;
int full;
do_weyl = 0; dp_fcoeffs = 0;
asir_assert(ARG0(arg),O_LIST,"dp_nf");
asir_assert(ARG1(arg),O_DP,"dp_nf");
asir_assert(ARG2(arg),O_VECT,"dp_nf");
asir_assert(ARG3(arg),O_N,"dp_nf");
if ( !(g = (DP)ARG1(arg)) ) {
*rp = 0; return;
}
b = BDY((LIST)ARG0(arg));
zv = dpvtozdpv((VECT)ARG2(arg));
g = dptozdp(g);
ps = (DP *)BDY(zv);
full = (Q)ARG3(arg) ? 1 : 0;
dp_nf_z(b,g,ps,full,DP_Multiple,rp);
}
void Pdp_weyl_nf(NODE arg,DP *rp)
{
NODE b;
DP *ps;
DP g;
VECT zv;
int full;
asir_assert(ARG0(arg),O_LIST,"dp_weyl_nf");
asir_assert(ARG1(arg),O_DP,"dp_weyl_nf");
asir_assert(ARG2(arg),O_VECT,"dp_weyl_nf");
asir_assert(ARG3(arg),O_N,"dp_weyl_nf");
if ( !(g = (DP)ARG1(arg)) ) {
*rp = 0; return;
}
b = BDY((LIST)ARG0(arg));
zv = dpvtozdpv((VECT)ARG2(arg));
g = dptozdp(g);
full = (Q)ARG3(arg) ? 1 : 0;
do_weyl = 1;
dp_nf_z(b,g,ps,full,DP_Multiple,rp);
do_weyl = 0;
}
void Pdpm_nf(NODE arg,DPM *rp)
{
NODE b;
VECT ps;
DPM g;
int ac,full;
if ( !(g = (DPM)ARG1(arg)) ) {
*rp = 0; return;
}
do_weyl = 0; dp_fcoeffs = 0;
ac = argc(arg);
if ( ac < 3 )
error("dpm_nf: invalid arguments");
else if ( ac == 3 ) {
asir_assert(ARG1(arg),O_VECT,"dpm_nf");
b = 0;
g = dpmtozdpm((DPM)ARG0(arg));
ps = dpmvtozdpmv((VECT)ARG1(arg));
full = (Q)ARG2(arg) ? 1 : 0;
} else if ( ac == 4 ) {
asir_assert(ARG0(arg),O_LIST,"dpm_nf");
asir_assert(ARG2(arg),O_VECT,"dpm_nf");
b = BDY((LIST)ARG0(arg));
g = dpmtozdpm((DPM)ARG1(arg));
ps = dpmvtozdpmv((VECT)ARG2(arg));
full = (Q)ARG3(arg) ? 1 : 0;
}
dpm_nf_z(b,g,ps,full,DP_Multiple,rp);
}
DP *dpm_nf_and_quotient(NODE b,DPM g,VECT ps,DPM *rp,P *dnp);
DPM dpm_nf_and_quotient2(NODE b,DPM g,VECT ps,DPM *rp,P *dnp);
void Pdpm_nf_and_quotient(NODE arg,LIST *rp)
{
NODE b;
VECT ps;
DPM g,nm;
P dn;
VECT quo;
NODE n;
int ac;
do_weyl = 0; dp_fcoeffs = 0;
ac = argc(arg);
if ( ac < 2 )
error("dpm_nf_and_quotient : invalid arguments");
else if ( ac == 2 ) {
asir_assert(ARG1(arg),O_VECT,"dpm_nf_and_quotient");
b = 0; g = (DPM)ARG0(arg); ps = (VECT)ARG1(arg);
} else if ( ac == 3 ) {
asir_assert(ARG0(arg),O_LIST,"dpm_nf_and_quotient");
asir_assert(ARG2(arg),O_VECT,"dpm_nf_and_quotient");
b = BDY((LIST)ARG0(arg)); g = (DPM)ARG1(arg); ps = (VECT)ARG2(arg);
}
NEWVECT(quo); quo->len = ps->len;
if ( g ) {
quo->body = (pointer *)dpm_nf_and_quotient(b,g,ps,&nm,&dn);
} else {
quo->body = (pointer *)MALLOC(quo->len*sizeof(pointer));
nm = 0; dn = (P)ONE;
}
n = mknode(3,nm,dn,quo);
MKLIST(*rp,n);
}
void Pdpm_nf_and_quotient2(NODE arg,LIST *rp)
{
NODE b;
VECT ps;
DPM g,nm,q;
P dn;
NODE n;
int ac;
do_weyl = 0; dp_fcoeffs = 0;
ac = argc(arg);
if ( ac < 2 )
error("dpm_nf_and_quotient2 : invalid arguments");
else if ( ac == 2 ) {
asir_assert(ARG1(arg),O_VECT,"dpm_nf_and_quotient2");
b = 0; g = (DPM)ARG0(arg); ps = (VECT)ARG1(arg);
} else if ( ac == 3 ) {
asir_assert(ARG0(arg),O_LIST,"dpm_nf_and_quotient2");
asir_assert(ARG2(arg),O_VECT,"dpm_nf_and_quotient2");
b = BDY((LIST)ARG0(arg)); g = (DPM)ARG1(arg); ps = (VECT)ARG2(arg);
}
if ( g ) {
q = dpm_nf_and_quotient2(b,g,ps,&nm,&dn);
} else {
q = 0; nm = 0; dn = (P)ONE;
}
n = mknode(3,nm,dn,q);
MKLIST(*rp,n);
}
void Pdpm_weyl_nf(NODE arg,DPM *rp)
{
NODE b;
VECT ps;
DPM g;
int ac,full;
if ( !(g = (DPM)ARG1(arg)) ) {
*rp = 0; return;
}
do_weyl = 1; dp_fcoeffs = 0;
ac = argc(arg);
if ( ac < 3 )
error("dpm_weyl_nf: invalid arguments");
else if ( ac == 3 ) {
asir_assert(ARG1(arg),O_VECT,"dpm_nf");
b = 0; g = (DPM)ARG0(arg); ps = (VECT)ARG1(arg);
} else if ( ac == 4 ) {
asir_assert(ARG0(arg),O_LIST,"dpm_weyl_nf");
asir_assert(ARG2(arg),O_VECT,"dpm_weyl_nf");
b = BDY((LIST)ARG0(arg)); g = (DPM)ARG1(arg); ps = (VECT)ARG2(arg);
full = (Q)ARG3(arg) ? 1 : 0;
}
dpm_nf_z(b,g,ps,full,DP_Multiple,rp);
do_weyl = 0;
}
/* nf computation using field operations */
void Pdp_nf_f(NODE arg,DP *rp)
{
NODE b;
DP *ps;
DP g;
int full;
do_weyl = 0;
asir_assert(ARG0(arg),O_LIST,"dp_nf_f");
asir_assert(ARG1(arg),O_DP,"dp_nf_f");
asir_assert(ARG2(arg),O_VECT,"dp_nf_f");
asir_assert(ARG3(arg),O_N,"dp_nf_f");
if ( !(g = (DP)ARG1(arg)) ) {
*rp = 0; return;
}
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg));
full = (Q)ARG3(arg) ? 1 : 0;
dp_nf_f(b,g,ps,full,rp);
}
void Pdp_weyl_nf_f(NODE arg,DP *rp)
{
NODE b;
DP *ps;
DP g;
int full;
asir_assert(ARG0(arg),O_LIST,"dp_weyl_nf_f");
asir_assert(ARG1(arg),O_DP,"dp_weyl_nf_f");
asir_assert(ARG2(arg),O_VECT,"dp_weyl_nf_f");
asir_assert(ARG3(arg),O_N,"dp_weyl_nf_f");
if ( !(g = (DP)ARG1(arg)) ) {
*rp = 0; return;
}
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg));
full = (Q)ARG3(arg) ? 1 : 0;
do_weyl = 1;
dp_nf_f(b,g,ps,full,rp);
do_weyl = 0;
}
void Pdpm_nf_f(NODE arg,DPM *rp)
{
NODE b;
VECT ps;
DPM g;
int ac,full;
if ( !(g = (DPM)ARG1(arg)) ) {
*rp = 0; return;
}
ac = argc(arg);
if ( ac < 3 )
error("dpm_nf_f: invalid arguments");
else if ( ac == 3 ) {
asir_assert(ARG1(arg),O_VECT,"dpm_nf_f");
b = 0; g = (DPM)ARG0(arg); ps = (VECT)ARG1(arg);
} else if ( ac == 4 ) {
asir_assert(ARG0(arg),O_LIST,"dpm_nf_f");
asir_assert(ARG2(arg),O_VECT,"dpm_nf_f");
b = BDY((LIST)ARG0(arg)); g = (DPM)ARG1(arg); ps = (VECT)ARG2(arg);
full = (Q)ARG3(arg) ? 1 : 0;
}
do_weyl = 0;
dpm_nf_f(b,g,ps,full,rp);
}
void Pdpm_weyl_nf_f(NODE arg,DPM *rp)
{
NODE b;
VECT ps;
DPM g;
int ac,full;
if ( !(g = (DPM)ARG1(arg)) ) {
*rp = 0; return;
}
ac = argc(arg);
if ( ac < 3 )
error("dpm_weyl_nf_f: invalid arguments");
else if ( ac == 3 ) {
asir_assert(ARG1(arg),O_VECT,"dpm_weyl_nf_f");
b = 0; g = (DPM)ARG0(arg); ps = (VECT)ARG1(arg);
} else if ( ac == 4 ) {
asir_assert(ARG0(arg),O_LIST,"dpm_weyl_nf_f");
asir_assert(ARG2(arg),O_VECT,"dpm_weyl_nf_f");
b = BDY((LIST)ARG0(arg)); g = (DPM)ARG1(arg); ps = (VECT)ARG2(arg);
full = (Q)ARG3(arg) ? 1 : 0;
}
do_weyl = 1;
dpm_nf_f(b,g,ps,full,rp);
do_weyl = 0;
}
void Pdp_nf_mod(NODE arg,DP *rp)
{
NODE b;
DP g;
DP *ps;
int mod,full,ac;
NODE n,n0;
do_weyl = 0;
ac = argc(arg);
asir_assert(ARG0(arg),O_LIST,"dp_nf_mod");
asir_assert(ARG1(arg),O_DP,"dp_nf_mod");
asir_assert(ARG2(arg),O_VECT,"dp_nf_mod");
asir_assert(ARG3(arg),O_N,"dp_nf_mod");
asir_assert(ARG4(arg),O_N,"dp_nf_mod");
if ( !(g = (DP)ARG1(arg)) ) {
*rp = 0; return;
}
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg));
full = ZTOS((Q)ARG3(arg)); mod = ZTOS((Q)ARG4(arg));
for ( n0 = n = 0; b; b = NEXT(b) ) {
NEXTNODE(n0,n);
BDY(n) = (pointer)ZTOS((Q)BDY(b));
}
if ( n0 )
NEXT(n) = 0;
dp_nf_mod(n0,g,ps,mod,full,rp);
}
void Pdp_true_nf(NODE arg,LIST *rp)
{
NODE b,n;
DP *ps;
DP g,gz;
DP nm,nm1;
P dn,dn1;
Z cont,cnm,cdn;
VECT zv;
int full;
do_weyl = 0; dp_fcoeffs = 0;
asir_assert(ARG0(arg),O_LIST,"dp_true_nf");
asir_assert(ARG1(arg),O_DP,"dp_true_nf");
asir_assert(ARG2(arg),O_VECT,"dp_true_nf");
asir_assert(ARG3(arg),O_N,"dp_nf");
if ( !(g = (DP)ARG1(arg)) ) {
nm = 0; dn = (P)ONE;
} else {
b = BDY((LIST)ARG0(arg));
zv = dpvtozdpv((VECT)ARG2(arg));
ps = (DP *)BDY(zv);
full = (Q)ARG3(arg) ? 1 : 0;
if ( dp_iszp(g) ) {
dp_true_nf(b,g,ps,full,&nm,&dn);
} else {
dp_ptozp3(g,&cont,&gz);
dp_true_nf(b,gz,ps,full,&nm1,&dn1);
if ( INT(cont) ) {
muldc(CO,nm1,(Obj)cont,&nm);
dn = dn1;
} else {
nmq((Q)cont,&cnm);
muldc(CO,nm1,(Obj)cnm,&nm);
dnq((Q)cont,&cdn);
mulp(CO,dn1,(P)cdn,&dn);
}
}
}
NEWNODE(n); BDY(n) = (pointer)nm;
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)dn;
NEXT(NEXT(n)) = 0; MKLIST(*rp,n);
}
DP *dp_true_nf_and_quotient_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *dnp);
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 = ZTOS((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;
do_weyl = 0; dp_fcoeffs = 0;
asir_assert(ARG0(arg),O_LIST,"dp_true_nf_marked");
asir_assert(ARG1(arg),O_DP,"dp_true_nf_marked");
asir_assert(ARG2(arg),O_VECT,"dp_true_nf_marked");
asir_assert(ARG3(arg),O_VECT,"dp_true_nf_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));
dp_true_nf_marked(b,g,ps,hps,&nm,(P *)&cont,(P *)&dn);
}
n = mknode(3,nm,cont,dn);
MKLIST(*rp,n);
}
void Pdp_true_nf_marked_mod(NODE arg,LIST *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 = ZTOS((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;
int mod,full,ac;
NODE n,n0;
ac = argc(arg);
asir_assert(ARG0(arg),O_LIST,"dp_weyl_nf_mod");
asir_assert(ARG1(arg),O_DP,"dp_weyl_nf_mod");
asir_assert(ARG2(arg),O_VECT,"dp_weyl_nf_mod");
asir_assert(ARG3(arg),O_N,"dp_weyl_nf_mod");
asir_assert(ARG4(arg),O_N,"dp_weyl_nf_mod");
if ( !(g = (DP)ARG1(arg)) ) {
*rp = 0; return;
}
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg));
full = ZTOS((Q)ARG3(arg)); mod = ZTOS((Q)ARG4(arg));
for ( n0 = n = 0; b; b = NEXT(b) ) {
NEXTNODE(n0,n);
BDY(n) = (pointer)ZTOS((Q)BDY(b));
}
if ( n0 )
NEXT(n) = 0;
do_weyl = 1;
dp_nf_mod(n0,g,ps,mod,full,rp);
do_weyl = 0;
}
void Pdp_true_nf_mod(NODE arg,LIST *rp)
{
NODE b;
DP g,nm;
P dn;
DP *ps;
int mod,full;
NODE n;
do_weyl = 0;
asir_assert(ARG0(arg),O_LIST,"dp_nf_mod");
asir_assert(ARG1(arg),O_DP,"dp_nf_mod");
asir_assert(ARG2(arg),O_VECT,"dp_nf_mod");
asir_assert(ARG3(arg),O_N,"dp_nf_mod");
asir_assert(ARG4(arg),O_N,"dp_nf_mod");
if ( !(g = (DP)ARG1(arg)) ) {
nm = 0; dn = (P)ONEM;
} else {
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg));
full = ZTOS((Q)ARG3(arg)); mod = ZTOS((Q)ARG4(arg));
dp_true_nf_mod(b,g,ps,mod,full,&nm,&dn);
}
NEWNODE(n); BDY(n) = (pointer)nm;
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)dn;
NEXT(NEXT(n)) = 0; MKLIST(*rp,n);
}
void Pdp_weyl_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 = 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 = ZTOS((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;
Z d,q,r;
int sgn;
asir_assert(ARG0(arg),O_DP,"dp_tdiv");
asir_assert(ARG1(arg),O_N,"dp_tdiv");
p = (DP)ARG0(arg); d = (Z)ARG1(arg);
if ( !p )
*rp = 0;
else {
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
divqrz((Z)m->c,d,&q,&r);
if ( r ) {
*rp = 0; return;
} else {
NEXTMP(mr0,mr);
mr->c = (Obj)q; mr->dl = m->dl;
}
}
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar;
}
}
void Pdp_red_coef(NODE arg,DP *rp)
{
MP m,mr,mr0;
P q,r;
DP p;
P mod;
p = (DP)ARG0(arg); mod = (P)ARG1(arg);
asir_assert(p,O_DP,"dp_red_coef");
asir_assert(mod,O_P,"dp_red_coef");
if ( !p )
*rp = 0;
else {
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
divsrp(CO,(P)m->c,mod,&q,&r);
if ( r ) {
NEXTMP(mr0,mr); mr->c = (Obj)r; mr->dl = m->dl;
}
}
if ( mr0 ) {
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar;
} else
*rp = 0;
}
}
void Pdp_redble(NODE arg,Z *rp)
{
asir_assert(ARG0(arg),O_DP,"dp_redble");
asir_assert(ARG1(arg),O_DP,"dp_redble");
if ( dp_redble((DP)ARG0(arg),(DP)ARG1(arg)) )
*rp = ONE;
else
*rp = 0;
}
void Pdpm_redble(NODE arg,Z *rp)
{
asir_assert(ARG0(arg),O_DPM,"dpm_redble");
asir_assert(ARG1(arg),O_DPM,"dpm_redble");
if ( dpm_redble((DPM)ARG0(arg),(DPM)ARG1(arg)) )
*rp = ONE;
else
*rp = 0;
}
void dpm_schreyer_base(LIST g,LIST *s);
void dpm_schreyer_base_zlist(LIST g,LIST *s);
void Pdpm_schreyer_base(NODE arg,LIST *rp)
{
asir_assert(ARG0(arg),O_LIST,"dpm_schreyer_base");
dpm_schreyer_base_zlist((LIST)ARG0(arg),rp);
}
void dpm_list_to_array(LIST g,VECT *psv,VECT *psiv);
void Pdpm_list_to_array(NODE arg,LIST *rp)
{
VECT psv,psiv;
NODE nd;
asir_assert(ARG0(arg),O_LIST,"dpm_list_to_array");
dpm_list_to_array((LIST)ARG0(arg),&psv,&psiv);
nd = mknode(2,psv,psiv);
MKLIST(*rp,nd);
}
/* [quo,nf] = dpm_sp_nf(psv,psiv,i,j,top) */
DPM dpm_sp_nf_zlist(VECT psv,VECT psiv,int i,int j,int top,DPM *nf);
void Pdpm_sp_nf(NODE arg,LIST *rp)
{
VECT psv,psiv;
DPM quo,nf;
Obj val;
int i,j,top;
NODE nd;
asir_assert(ARG0(arg),O_VECT,"dpm_sp_nf"); psv = (VECT)ARG0(arg);
asir_assert(ARG1(arg),O_VECT,"dpm_sp_nf"); psiv = (VECT)ARG1(arg);
asir_assert(ARG2(arg),O_N,"dpm_sp_nf"); i = ZTOS((Q)ARG2(arg));
asir_assert(ARG3(arg),O_N,"dpm_sp_nf"); j = ZTOS((Q)ARG3(arg));
if ( get_opt("top",&val) && val )
top = 1;
else
top = 0;
quo = dpm_sp_nf_zlist(psv,psiv,i,j,top,&nf);
nd = mknode(2,quo,nf);
MKLIST(*rp,nd);
}
void dpm_insert_to_zlist(VECT psiv,int pos,int i);
/* insert_to_zlist(indarray,dpm_hp(f),i) */
void Pdpm_insert_to_zlist(NODE arg,VECT *rp)
{
VECT psiv;
int i,pos;
asir_assert(ARG0(arg),O_VECT,"dpm_insert_to_zlist"); psiv = (VECT)ARG0(arg);
asir_assert(ARG1(arg),O_N,"dpm_insert_to_zlist"); pos = ZTOS((Q)ARG1(arg));
asir_assert(ARG2(arg),O_N,"dpm_insert_to_zlist"); i = ZTOS((Q)ARG2(arg));
dpm_insert_to_zlist(psiv,pos,i);
*rp = psiv;
}
void dpm_simplify_syz(LIST m,LIST s,LIST *m1,LIST *s1,LIST *w1);
void Pdpm_simplify_syz(NODE arg,LIST *rp)
{
LIST s1,m1,w1;
NODE t;
asir_assert(ARG0(arg),O_LIST,"dpm_simplify_syz");
asir_assert(ARG1(arg),O_LIST,"dpm_simplify_syz");
dpm_simplify_syz((LIST)ARG0(arg),(LIST)ARG1(arg),&s1,&m1,&w1);
t = mknode(3,s1,m1,w1);
MKLIST(*rp,t);
}
void Pdp_red_mod(NODE arg,LIST *rp)
{
DP h,r;
P dmy;
NODE n;
do_weyl = 0;
asir_assert(ARG0(arg),O_DP,"dp_red_mod");
asir_assert(ARG1(arg),O_DP,"dp_red_mod");
asir_assert(ARG2(arg),O_DP,"dp_red_mod");
asir_assert(ARG3(arg),O_N,"dp_red_mod");
dp_red_mod((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),ZTOS((Q)ARG3(arg)),
&h,&r,&dmy);
NEWNODE(n); BDY(n) = (pointer)h;
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)r;
NEXT(NEXT(n)) = 0; MKLIST(*rp,n);
}
void Pdp_subd(NODE arg,DP *rp)
{
DP p1,p2;
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);
asir_assert(p1,O_DP,"dp_subd");
asir_assert(p2,O_DP,"dp_subd");
dp_subd(p1,p2,rp);
}
void Pdp_symb_add(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 = (Obj)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);
asir_assert(p1,O_DP,"dp_mul_trunc");
asir_assert(p2,O_DP,"dp_mul_trunc");
asir_assert(p,O_DP,"dp_mul_trunc");
comm_muld_trunc(CO,p1,p2,BDY(p)->dl,rp);
}
void Pdp_quo(NODE arg,DP *rp)
{
DP p1,p2;
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);
asir_assert(p1,O_DP,"dp_quo");
asir_assert(p2,O_DP,"dp_quo");
comm_quod(CO,p1,p2,rp);
}
void Pdp_weyl_mul(NODE arg,DP *rp)
{
DP p1,p2;
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);
asir_assert(p1,O_DP,"dp_weyl_mul"); asir_assert(p2,O_DP,"dp_weyl_mul");
do_weyl = 1;
muld(CO,p1,p2,rp);
do_weyl = 0;
}
void Pdp_weyl_act(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);
asir_assert(p1,O_DP,"dp_weyl_mul_mod");
asir_assert(p2,O_DP,"dp_mul_mod");
asir_assert(m,O_N,"dp_mul_mod");
do_weyl = 1;
mulmd(CO,ZTOS(m),p1,p2,rp);
do_weyl = 0;
}
void Pdp_red(NODE arg,LIST *rp)
{
NODE n;
DP head,rest,dmy1;
P dmy;
do_weyl = 0;
asir_assert(ARG0(arg),O_DP,"dp_red");
asir_assert(ARG1(arg),O_DP,"dp_red");
asir_assert(ARG2(arg),O_DP,"dp_red");
dp_red((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),&head,&rest,&dmy,&dmy1);
NEWNODE(n); BDY(n) = (pointer)head;
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)rest;
NEXT(NEXT(n)) = 0; MKLIST(*rp,n);
}
void Pdp_weyl_red(NODE arg,LIST *rp)
{
NODE n;
DP head,rest,dmy1;
P dmy;
asir_assert(ARG0(arg),O_DP,"dp_weyl_red");
asir_assert(ARG1(arg),O_DP,"dp_weyl_red");
asir_assert(ARG2(arg),O_DP,"dp_weyl_red");
do_weyl = 1;
dp_red((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),&head,&rest,&dmy,&dmy1);
do_weyl = 0;
NEWNODE(n); BDY(n) = (pointer)head;
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)rest;
NEXT(NEXT(n)) = 0; MKLIST(*rp,n);
}
void Pdp_sp(NODE arg,DP *rp)
{
DP p1,p2;
do_weyl = 0;
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);
asir_assert(p1,O_DP,"dp_sp"); asir_assert(p2,O_DP,"dp_sp");
dp_sp(p1,p2,rp);
}
void Pdp_weyl_sp(NODE arg,DP *rp)
{
DP p1,p2;
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);
asir_assert(p1,O_DP,"dp_weyl_sp"); asir_assert(p2,O_DP,"dp_weyl_sp");
do_weyl = 1;
dp_sp(p1,p2,rp);
do_weyl = 0;
}
void Pdpm_sp(NODE arg,Obj *rp)
{
DPM p1,p2,sp;
DP mul1,mul2;
Obj val;
NODE nd;
LIST l;
do_weyl = 0;
p1 = (DPM)ARG0(arg); p2 = (DPM)ARG1(arg);
asir_assert(p1,O_DPM,"dpm_sp"); asir_assert(p2,O_DPM,"dpm_sp");
dpm_sp(p1,p2,&sp,&mul1,&mul2);
if ( get_opt("coef",&val) && val ) {
nd = mknode(3,sp,mul1,mul2);
MKLIST(l,nd);
*rp = (Obj)l;
} else {
*rp = (Obj)sp;
}
}
void Pdpm_weyl_sp(NODE arg,Obj *rp)
{
DPM p1,p2,sp;
DP mul1,mul2;
Obj val;
NODE nd;
LIST l;
p1 = (DPM)ARG0(arg); p2 = (DPM)ARG1(arg);
asir_assert(p1,O_DPM,"dpm_weyl_sp"); asir_assert(p2,O_DPM,"dpm_weyl_sp");
do_weyl = 1;
dpm_sp(p1,p2,&sp,&mul1,&mul2);
do_weyl = 0;
if ( get_opt("coef",&val) && val ) {
nd = mknode(3,sp,mul1,mul2);
MKLIST(l,nd);
*rp = (Obj)l;
} else {
*rp = (Obj)sp;
}
}
void Pdp_sp_mod(NODE arg,DP *rp)
{
DP p1,p2;
int mod;
do_weyl = 0;
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);
asir_assert(p1,O_DP,"dp_sp_mod"); asir_assert(p2,O_DP,"dp_sp_mod");
asir_assert(ARG2(arg),O_N,"dp_sp_mod");
mod = ZTOS((Q)ARG2(arg));
dp_sp_mod(p1,p2,mod,rp);
}
void Pdp_lcm(NODE arg,DP *rp)
{
int i,n,td;
DL d1,d2,d;
MP m;
DP p1,p2;
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);
asir_assert(p1,O_DP,"dp_lcm"); asir_assert(p2,O_DP,"dp_lcm");
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl;
NEWDL(d,n);
for ( i = 0, td = 0; i < n; i++ ) {
d->d[i] = MAX(d1->d[i],d2->d[i]); td += MUL_WEIGHT(d->d[i],i);
}
d->td = td;
NEWMP(m); m->dl = d; m->c = (Obj)ONE; NEXT(m) = 0;
MKDP(n,m,*rp); (*rp)->sugar = td; /* XXX */
}
void Pdp_hm(NODE arg,DP *rp)
{
DP p;
p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_hm");
dp_hm(p,rp);
}
void Pdp_ht(NODE arg,DP *rp)
{
DP p;
MP m,mr;
p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_ht");
dp_ht(p,rp);
}
void Pdp_hc(NODE arg,Obj *rp)
{
asir_assert(ARG0(arg),O_DP,"dp_hc");
if ( !ARG0(arg) )
*rp = 0;
else
*rp = BDY((DP)ARG0(arg))->c;
}
void Pdp_rest(NODE arg,DP *rp)
{
asir_assert(ARG0(arg),O_DP,"dp_rest");
if ( !ARG0(arg) )
*rp = 0;
else
dp_rest((DP)ARG0(arg),rp);
}
void Pdp_td(NODE arg,Z *rp)
{
DP p;
p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_td");
if ( !p )
*rp = 0;
else
STOZ(BDY(p)->dl->td,*rp);
}
void Pdpm_td(NODE arg,Z *rp)
{
DPM p;
p = (DPM)ARG0(arg); asir_assert(p,O_DPM,"dpm_td");
if ( !p )
*rp = 0;
else
STOZ(BDY(p)->dl->td,*rp);
}
void Pdp_sugar(NODE arg,Z *rp)
{
DP p;
p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_sugar");
if ( !p )
*rp = 0;
else
STOZ(p->sugar,*rp);
}
void Pdp_initial_term(NODE arg,Obj *rp)
{
struct order_spec *ord;
Num homo;
int modular,is_list;
LIST v,f,l,initiallist;
NODE n;
f = (LIST)ARG0(arg);
if ( f && OID(f) == O_LIST )
is_list = 1;
else {
n = mknode(1,f); MKLIST(l,n); f = l;
is_list = 0;
}
if ( current_option ) {
parse_gr_option(f,current_option,&v,&homo,&modular,&ord);
initd(ord);
} else
ord = dp_current_spec;
initiallist = dp_initial_term(f,ord);
if ( !is_list )
*rp = (Obj)BDY(BDY(initiallist));
else
*rp = (Obj)initiallist;
}
void Pdp_order(NODE arg,Obj *rp)
{
struct order_spec *ord;
Num homo;
int modular,is_list;
LIST v,f,l,ordlist;
NODE n;
f = (LIST)ARG0(arg);
if ( f && OID(f) == O_LIST )
is_list = 1;
else {
n = mknode(1,f); MKLIST(l,n); f = l;
is_list = 0;
}
if ( current_option ) {
parse_gr_option(f,current_option,&v,&homo,&modular,&ord);
initd(ord);
} else
ord = dp_current_spec;
ordlist = dp_order(f,ord);
if ( !is_list )
*rp = (Obj)BDY(BDY(ordlist));
else
*rp = (Obj)ordlist;
}
void Pdp_set_sugar(NODE arg,Q *rp)
{
DP p;
Q q;
int i;
p = (DP)ARG0(arg);
q = (Q)ARG1(arg);
if ( p && q) {
asir_assert(p,O_DP,"dp_set_sugar");
asir_assert(q,O_N, "dp_set_sugar");
i = ZTOS(q);
if (p->sugar < i) {
p->sugar = i;
}
}
*rp = 0;
}
void Pdp_cri1(NODE arg,Z *rp)
{
DP p1,p2;
int *d1,*d2;
int i,n;
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);
asir_assert(p1,O_DP,"dp_cri1"); asir_assert(p2,O_DP,"dp_cri1");
n = p1->nv; d1 = BDY(p1)->dl->d; d2 = BDY(p2)->dl->d;
for ( i = 0; i < n; i++ )
if ( d1[i] > d2[i] )
break;
*rp = i == n ? ONE : 0;
}
void Pdp_cri2(NODE arg,Z *rp)
{
DP p1,p2;
int *d1,*d2;
int i,n;
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg);
asir_assert(p1,O_DP,"dp_cri2"); asir_assert(p2,O_DP,"dp_cri2");
n = p1->nv; d1 = BDY(p1)->dl->d; d2 = BDY(p2)->dl->d;
for ( i = 0; i < n; i++ )
if ( MIN(d1[i],d2[i]) >= 1 )
break;
*rp = i == n ? ONE : 0;
}
void Pdp_minp(NODE arg,LIST *rp)
{
NODE tn,tn1,d,dd,dd0,p,tp;
LIST l,minp;
DP lcm,tlcm;
int s,ts;
asir_assert(ARG0(arg),O_LIST,"dp_minp");
d = BDY((LIST)ARG0(arg)); minp = (LIST)BDY(d);
p = BDY(minp); p = NEXT(NEXT(p)); lcm = (DP)BDY(p); p = NEXT(p);
if ( !ARG1(arg) ) {
s = ZTOS((Q)BDY(p)); p = NEXT(p);
for ( dd0 = 0, d = NEXT(d); d; d = NEXT(d) ) {
tp = BDY((LIST)BDY(d)); tp = NEXT(NEXT(tp));
tlcm = (DP)BDY(tp); tp = NEXT(tp);
ts = ZTOS((Q)BDY(tp)); tp = NEXT(tp);
NEXTNODE(dd0,dd);
if ( ts < s ) {
BDY(dd) = (pointer)minp;
minp = (LIST)BDY(d); lcm = tlcm; s = ts;
} else if ( ts == s ) {
if ( compd(CO,lcm,tlcm) > 0 ) {
BDY(dd) = (pointer)minp;
minp = (LIST)BDY(d); lcm = tlcm; s = ts;
} else
BDY(dd) = BDY(d);
} else
BDY(dd) = BDY(d);
}
} else {
for ( dd0 = 0, d = NEXT(d); d; d = NEXT(d) ) {
tp = BDY((LIST)BDY(d)); tp = NEXT(NEXT(tp));
tlcm = (DP)BDY(tp);
NEXTNODE(dd0,dd);
if ( compd(CO,lcm,tlcm) > 0 ) {
BDY(dd) = (pointer)minp; minp = (LIST)BDY(d); lcm = tlcm;
} else
BDY(dd) = BDY(d);
}
}
if ( dd0 )
NEXT(dd) = 0;
MKLIST(l,dd0); MKNODE(tn,l,0); MKNODE(tn1,minp,tn); MKLIST(*rp,tn1);
}
void Pdp_criB(NODE arg,LIST *rp)
{
NODE d,ij,dd,ddd;
int i,j,s,n;
DP *ps;
DL ts,ti,tj,lij,tdl;
asir_assert(ARG0(arg),O_LIST,"dp_criB"); d = BDY((LIST)ARG0(arg));
asir_assert(ARG1(arg),O_N,"dp_criB"); s = ZTOS((Q)ARG1(arg));
asir_assert(ARG2(arg),O_VECT,"dp_criB"); ps = (DP *)BDY((VECT)ARG2(arg));
if ( !d )
*rp = (LIST)ARG0(arg);
else {
ts = BDY(ps[s])->dl;
n = ps[s]->nv;
NEWDL(tdl,n);
for ( dd = 0; d; d = NEXT(d) ) {
ij = BDY((LIST)BDY(d));
i = ZTOS((Q)BDY(ij)); ij = NEXT(ij);
j = ZTOS((Q)BDY(ij)); ij = NEXT(ij);
lij = BDY((DP)BDY(ij))->dl;
ti = BDY(ps[i])->dl; tj = BDY(ps[j])->dl;
if ( lij->td != lcm_of_DL(n,lij,ts,tdl)->td
|| !dl_equal(n,lij,tdl)
|| (lij->td == lcm_of_DL(n,ti,ts,tdl)->td
&& dl_equal(n,tdl,lij))
|| (lij->td == lcm_of_DL(n,tj,ts,tdl)->td
&& dl_equal(n,tdl,lij)) ) {
MKNODE(ddd,BDY(d),dd);
dd = ddd;
}
}
MKLIST(*rp,dd);
}
}
void Pdp_nelim(NODE arg,Z *rp)
{
if ( arg ) {
asir_assert(ARG0(arg),O_N,"dp_nelim");
dp_nelim = ZTOS((Q)ARG0(arg));
}
STOZ(dp_nelim,*rp);
}
void Pdp_mag(NODE arg,Z *rp)
{
DP p;
int s;
MP m;
p = (DP)ARG0(arg);
asir_assert(p,O_DP,"dp_mag");
if ( !p )
*rp = 0;
else {
for ( s = 0, m = BDY(p); m; m = NEXT(m) )
s += p_mag((P)m->c);
STOZ(s,*rp);
}
}
/* kara_mag is no longer used. */
void Pdp_set_kara(NODE arg,Z *rp)
{
*rp = 0;
}
void Pdp_homo(NODE arg,DP *rp)
{
asir_assert(ARG0(arg),O_DP,"dp_homo");
dp_homo((DP)ARG0(arg),rp);
}
void Pdp_dehomo(NODE arg,DP *rp)
{
asir_assert(ARG0(arg),O_DP,"dp_dehomo");
dp_dehomo((DP)ARG0(arg),rp);
}
void dpm_homo(DPM a,DPM *b);
void dpm_dehomo(DPM a,DPM *b);
void Pdpm_homo(NODE arg,DPM *rp)
{
asir_assert(ARG0(arg),O_DPM,"dpm_homo");
dpm_homo((DPM)ARG0(arg),rp);
}
void Pdpm_dehomo(NODE arg,DPM *rp)
{
asir_assert(ARG0(arg),O_DPM,"dpm_dehomo");
dpm_dehomo((DPM)ARG0(arg),rp);
}
void Pdp_gr_flags(NODE arg,LIST *rp)
{
Obj name,value;
NODE n;
if ( arg ) {
asir_assert(ARG0(arg),O_LIST,"dp_gr_flags");
n = BDY((LIST)ARG0(arg));
while ( n ) {
name = (Obj)BDY(n); n = NEXT(n);
if ( !n )
break;
else {
value = (Obj)BDY(n); n = NEXT(n);
}
dp_set_flag(name,value);
}
}
dp_make_flaglist(rp);
}
extern int DP_Print, DP_PrintShort;
void Pdp_gr_print(NODE arg,Z *rp)
{
Z q;
int s;
if ( arg ) {
asir_assert(ARG0(arg),O_N,"dp_gr_print");
q = (Z)ARG0(arg);
s = ZTOS(q);
switch ( s ) {
case 0:
DP_Print = 0; DP_PrintShort = 0;
break;
case 1:
DP_Print = 1;
break;
case 2:
DP_Print = 0; DP_PrintShort = 1;
break;
default:
DP_Print = s; DP_PrintShort = 0;
break;
}
} else {
if ( DP_Print ) {
STOZ(1,q);
} else if ( DP_PrintShort ) {
STOZ(2,q);
} else
q = 0;
}
*rp = q;
}
void parse_gr_option(LIST f,NODE opt,LIST *v,Num *homo,
int *modular,struct order_spec **ord)
{
NODE t,p;
Z m,z;
char *key;
Obj value,dmy;
int ord_is_set = 0;
int modular_is_set = 0;
int homo_is_set = 0;
VL vl,vl0;
LIST vars;
char xiname[BUFSIZ];
NODE x0,x;
DP d;
P xi;
int nv,i;
/* extract vars */
vars = 0;
for ( t = opt; t; t = NEXT(t) ) {
p = BDY((LIST)BDY(t));
key = BDY((STRING)BDY(p));
value = (Obj)BDY(NEXT(p));
if ( !strcmp(key,"v") ) {
/* variable list */
vars = (LIST)value;
break;
}
}
if ( vars ) {
*v = vars; pltovl(vars,&vl);
} else {
for ( t = BDY(f); t; t = NEXT(t) )
if ( BDY(t) && OID((Obj)BDY(t))==O_DP )
break;
if ( t ) {
/* f is DP list */
/* create dummy var list */
d = (DP)BDY(t);
nv = NV(d);
for ( i = 0, vl0 = 0, x0 = 0; i < nv; i++ ) {
NEXTVL(vl0,vl);
NEXTNODE(x0,x);
sprintf(xiname,"x%d",i);
makevar(xiname,&xi);
x->body = (pointer)xi;
vl->v = VR((P)xi);
}
if ( vl0 ) {
NEXT(vl) = 0;
NEXT(x) = 0;
}
MKLIST(vars,x0);
*v = vars;
vl = vl0;
} else {
get_vars((Obj)f,&vl); vltopl(vl,v);
}
}
for ( t = opt; t; t = NEXT(t) ) {
p = BDY((LIST)BDY(t));
key = BDY((STRING)BDY(p));
value = (Obj)BDY(NEXT(p));
if ( !strcmp(key,"v") ) {
/* variable list; ignore */
} else if ( !strcmp(key,"order") ) {
/* order spec */
if ( !vl )
error("parse_gr_option : variables must be specified");
create_order_spec(vl,value,ord);
ord_is_set = 1;
} else if ( !strcmp(key,"block") ) {
create_order_spec(0,value,ord);
ord_is_set = 1;
} else if ( !strcmp(key,"matrix") ) {
create_order_spec(0,value,ord);
ord_is_set = 1;
} else if ( !strcmp(key,"sugarweight") ) {
/* weight */
Pdp_set_weight(NEXT(p),&dmy);
} else if ( !strcmp(key,"homo") ) {
*homo = (Num)value;
homo_is_set = 1;
} else if ( !strcmp(key,"trace") ) {
m = (Z)value;
STOZ(0x80000000,z);
if ( !m )
*modular = 0;
else if ( cmpz(m,z) >= 0 )
error("parse_gr_option : too large modulus");
else
*modular = ZTOS(m);
modular_is_set = 1;
} else if ( !strcmp(key,"dp") ) {
/* XXX : ignore */
} else
error("parse_gr_option : not implemented");
}
if ( !ord_is_set ) create_order_spec(0,0,ord);
if ( !modular_is_set ) *modular = 0;
if ( !homo_is_set ) *homo = 0;
}
int peek_option(NODE opt,char *find,Obj *retp)
{
NODE t,p;
char *key;
Obj value;
for ( t = opt; t; t = NEXT(t) ) {
p = BDY((LIST)BDY(t));
key = BDY((STRING)BDY(p));
value = (Obj)BDY(NEXT(p));
if ( !strcmp(key,find) ) {
*retp = value;
return 1;
}
}
return 0;
}
void Pdp_gr_main(NODE arg,LIST *rp)
{
LIST f,v;
VL vl;
Num homo;
Z m,z;
int modular,ac;
struct order_spec *ord;
do_weyl = 0;
asir_assert(ARG0(arg),O_LIST,"dp_gr_main");
f = (LIST)ARG0(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
if ( (ac = argc(arg)) == 5 ) {
asir_assert(ARG1(arg),O_LIST,"dp_gr_main");
asir_assert(ARG2(arg),O_N,"dp_gr_main");
asir_assert(ARG3(arg),O_N,"dp_gr_main");
v = (LIST)ARG1(arg);
homo = (Num)ARG2(arg);
m = (Z)ARG3(arg);
STOZ(0x80000000,z);
if ( !m )
modular = 0;
else if ( cmpz(m,z) >= 0 )
error("dp_gr_main : too large modulus");
else
modular = ZTOS(m);
create_order_spec(0,ARG4(arg),&ord);
} else if ( current_option )
parse_gr_option(f,current_option,&v,&homo,&modular,&ord);
else if ( ac == 1 )
parse_gr_option(f,0,&v,&homo,&modular,&ord);
else
error("dp_gr_main : invalid argument");
dp_gr_main(f,v,homo,modular,0,ord,rp);
}
void Pdp_interreduce(NODE arg,LIST *rp)
{
LIST f,v;
VL vl;
int ac;
struct order_spec *ord;
do_weyl = 0;
asir_assert(ARG0(arg),O_LIST,"dp_interreduce");
f = (LIST)ARG0(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
if ( (ac = argc(arg)) == 3 ) {
asir_assert(ARG1(arg),O_LIST,"dp_interreduce");
v = (LIST)ARG1(arg);
create_order_spec(0,ARG2(arg),&ord);
}
dp_interreduce(f,v,0,ord,rp);
}
void Pdp_gr_f_main(NODE arg,LIST *rp)
{
LIST f,v;
Num homo;
int m,field,t;
struct order_spec *ord;
NODE n;
do_weyl = 0;
asir_assert(ARG0(arg),O_LIST,"dp_gr_f_main");
asir_assert(ARG1(arg),O_LIST,"dp_gr_f_main");
asir_assert(ARG2(arg),O_N,"dp_gr_f_main");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
homo = (Num)ARG2(arg);
#if 0
asir_assert(ARG3(arg),O_N,"dp_gr_f_main");
m = ZTOS((Q)ARG3(arg));
if ( m )
error("dp_gr_f_main : trace lifting is not implemented yet");
create_order_spec(0,ARG4(arg),&ord);
#else
m = 0;
create_order_spec(0,ARG3(arg),&ord);
#endif
field = 0;
for ( n = BDY(f); n; n = NEXT(n) ) {
t = get_field_type(BDY(n));
if ( !t )
continue;
if ( t < 0 )
error("dp_gr_f_main : incosistent coefficients");
if ( !field )
field = t;
else if ( t != field )
error("dp_gr_f_main : incosistent coefficients");
}
dp_gr_main(f,v,homo,m?1:0,field,ord,rp);
}
void Pdp_f4_main(NODE arg,LIST *rp)
{
LIST f,v;
struct order_spec *ord;
do_weyl = 0;
asir_assert(ARG0(arg),O_LIST,"dp_f4_main");
asir_assert(ARG1(arg),O_LIST,"dp_f4_main");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
create_order_spec(0,ARG2(arg),&ord);
dp_f4_main(f,v,ord,rp);
}
/* dp_gr_checklist(list of dp) */
void Pdp_gr_checklist(NODE arg,LIST *rp)
{
VECT g;
LIST dp;
NODE r;
int n;
do_weyl = 0;
asir_assert(ARG0(arg),O_LIST,"dp_gr_checklist");
asir_assert(ARG1(arg),O_N,"dp_gr_checklist");
n = ZTOS((Q)ARG1(arg));
gbcheck_list(BDY((LIST)ARG0(arg)),n,&g,&dp);
r = mknode(2,g,dp);
MKLIST(*rp,r);
}
void Pdp_f4_mod_main(NODE arg,LIST *rp)
{
LIST f,v;
int m;
struct order_spec *ord;
do_weyl = 0;
asir_assert(ARG0(arg),O_LIST,"dp_f4_mod_main");
asir_assert(ARG1(arg),O_LIST,"dp_f4_mod_main");
asir_assert(ARG2(arg),O_N,"dp_f4_mod_main");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); m = ZTOS((Q)ARG2(arg));
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
if ( !m )
error("dp_f4_mod_main : invalid argument");
create_order_spec(0,ARG3(arg),&ord);
dp_f4_mod_main(f,v,m,ord,rp);
}
void Pdp_gr_mod_main(NODE arg,LIST *rp)
{
LIST f,v;
Num homo;
int m;
struct order_spec *ord;
do_weyl = 0;
asir_assert(ARG0(arg),O_LIST,"dp_gr_mod_main");
asir_assert(ARG1(arg),O_LIST,"dp_gr_mod_main");
asir_assert(ARG2(arg),O_N,"dp_gr_mod_main");
asir_assert(ARG3(arg),O_N,"dp_gr_mod_main");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
homo = (Num)ARG2(arg); m = ZTOS((Q)ARG3(arg));
if ( !m )
error("dp_gr_mod_main : invalid argument");
create_order_spec(0,ARG4(arg),&ord);
dp_gr_mod_main(f,v,homo,m,ord,rp);
}
void Psetmod_ff(NODE node, Obj *val);
void Pnd_f4(NODE arg,LIST *rp)
{
LIST f,v;
int m,homo,retdp,ac;
Obj val;
Z mq,z;
Num nhomo;
NODE node;
struct order_spec *ord;
do_weyl = 0;
nd_rref2 = 0;
retdp = 0;
if ( (ac = argc(arg)) == 4 ) {
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 = (Z)ARG2(arg);
STOZ((unsigned long)0x40000000,z);
if ( cmpz(mq,z) >= 0 ) {
node = mknode(1,mq);
Psetmod_ff(node,&val);
m = -2;
} else
m = ZTOS(mq);
create_order_spec(0,ARG3(arg),&ord);
homo = 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;
} else if ( ac == 1 ) {
f = (LIST)ARG0(arg);
parse_gr_option(f,current_option,&v,&nhomo,&m,&ord);
homo = ZTOS((Q)nhomo);
if ( get_opt("dp",&val) && val ) retdp = 1;
if ( get_opt("rref2",&val) && val ) nd_rref2 = 1;
} else
error("nd_f4 : invalid argument");
nd_gr(f,v,m,homo,retdp,1,ord,rp);
}
void Pnd_gr(NODE arg,LIST *rp)
{
LIST f,v;
int m,homo,retdp,ac;
Obj val;
Z mq,z;
Num nhomo;
NODE node;
struct order_spec *ord;
do_weyl = 0;
retdp = 0;
if ( (ac=argc(arg)) == 4 ) {
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;
}
mq = (Z)ARG2(arg);
STOZ(0x40000000,z);
if ( cmpz(mq,z) >= 0 ) {
node = mknode(1,mq);
Psetmod_ff(node,&val);
m = -2;
} else
m = ZTOS(mq);
create_order_spec(0,ARG3(arg),&ord);
homo = 0;
if ( get_opt("homo",&val) && val ) homo = 1;
if ( get_opt("dp",&val) && val ) retdp = 1;
} else if ( ac == 1 ) {
f = (LIST)ARG0(arg);
parse_gr_option(f,current_option,&v,&nhomo,&m,&ord);
homo = ZTOS((Q)nhomo);
if ( get_opt("dp",&val) && val ) retdp = 1;
} else
error("nd_gr : invalid argument");
nd_gr(f,v,m,homo,retdp,0,ord,rp);
}
void nd_sba(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp);
void Pnd_sba(NODE arg,LIST *rp)
{
LIST f,v;
int m,homo,retdp,ac;
Obj val;
Z mq,z;
Num nhomo;
NODE node;
struct order_spec *ord,*current_spec;
current_spec = dp_current_spec;
do_weyl = 0;
retdp = 0;
if ( (ac=argc(arg)) == 4 ) {
asir_assert(ARG0(arg),O_LIST,"nd_sba");
asir_assert(ARG1(arg),O_LIST,"nd_sba");
asir_assert(ARG2(arg),O_N,"nd_sba");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
mq = (Z)ARG2(arg);
STOZ(0x40000000,z);
if ( cmpz(mq,z) >= 0 ) {
node = mknode(1,mq);
Psetmod_ff(node,&val);
m = -2;
} else
m = ZTOS(mq);
create_order_spec(0,ARG3(arg),&ord);
homo = 0;
if ( get_opt("homo",&val) && val ) homo = 1;
if ( get_opt("dp",&val) && val ) retdp = 1;
} else if ( ac == 1 ) {
f = (LIST)ARG0(arg);
parse_gr_option(f,current_option,&v,&nhomo,&m,&ord);
homo = ZTOS((Q)nhomo);
if ( get_opt("dp",&val) && val ) retdp = 1;
} else
error("nd_gr : invalid argument");
nd_sba(f,v,m,homo,retdp,0,ord,rp);
initd(current_spec);
}
void Pnd_weyl_sba(NODE arg,LIST *rp)
{
LIST f,v;
int m,homo,retdp,ac;
Obj val;
Z mq,z;
Num nhomo;
NODE node;
struct order_spec *ord;
do_weyl = 1;
retdp = 0;
if ( (ac=argc(arg)) == 4 ) {
asir_assert(ARG0(arg),O_LIST,"nd_sba");
asir_assert(ARG1(arg),O_LIST,"nd_sba");
asir_assert(ARG2(arg),O_N,"nd_sba");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; do_weyl = 0; return;
}
mq = (Z)ARG2(arg);
STOZ(0x40000000,z);
if ( cmpz(mq,z) >= 0 ) {
node = mknode(1,mq);
Psetmod_ff(node,&val);
m = -2;
} else
m = ZTOS(mq);
create_order_spec(0,ARG3(arg),&ord);
homo = 0;
if ( get_opt("homo",&val) && val ) homo = 1;
if ( get_opt("dp",&val) && val ) retdp = 1;
} else if ( ac == 1 ) {
f = (LIST)ARG0(arg);
parse_gr_option(f,current_option,&v,&nhomo,&m,&ord);
homo = ZTOS((Q)nhomo);
if ( get_opt("dp",&val) && val ) retdp = 1;
} else
error("nd_gr : invalid argument");
nd_sba(f,v,m,homo,retdp,0,ord,rp);
do_weyl = 0;
}
void Pnd_sba_f4(NODE arg,LIST *rp)
{
LIST f,v;
int m,homo,retdp,ac;
Obj val;
Z mq,z;
Num nhomo;
NODE node;
struct order_spec *ord;
do_weyl = 0;
retdp = 0;
if ( (ac=argc(arg)) == 4 ) {
asir_assert(ARG0(arg),O_LIST,"nd_sba");
asir_assert(ARG1(arg),O_LIST,"nd_sba");
asir_assert(ARG2(arg),O_N,"nd_sba");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
mq = (Z)ARG2(arg);
STOZ(0x40000000,z);
if ( cmpz(mq,z) >= 0 ) {
node = mknode(1,mq);
Psetmod_ff(node,&val);
m = -2;
} else
m = ZTOS(mq);
create_order_spec(0,ARG3(arg),&ord);
homo = 0;
if ( get_opt("homo",&val) && val ) homo = 1;
if ( get_opt("dp",&val) && val ) retdp = 1;
} else if ( ac == 1 ) {
f = (LIST)ARG0(arg);
parse_gr_option(f,current_option,&v,&nhomo,&m,&ord);
homo = ZTOS((Q)nhomo);
if ( get_opt("dp",&val) && val ) retdp = 1;
} else
error("nd_gr : invalid argument");
nd_sba(f,v,m,homo,retdp,1,ord,rp);
}
void Pnd_gr_postproc(NODE arg,LIST *rp)
{
LIST f,v;
int m,do_check;
Z mq,z;
Obj val;
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");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
mq = (Z)ARG2(arg);
STOZ(0x40000000,z);
if ( cmpz(mq,z) >= 0 ) {
node = mknode(1,mq);
Psetmod_ff(node,&val);
m = -2;
} else
m = ZTOS(mq);
create_order_spec(0,ARG3(arg),&ord);
do_check = ARG4(arg) ? 1 : 0;
nd_gr_postproc(f,v,m,ord,do_check,rp);
}
void Pnd_gr_recompute_trace(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 = ZTOS((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;
Z mq,z;
int m,ac,pos;
struct order_spec *ord;
NODE node;
pointer val;
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);
mq = (Z)ARG2(arg);
STOZ(0x40000000,z);
if ( cmpz(mq,z) >= 0 ) {
node = mknode(1,mq);
Psetmod_ff(node,(Obj *)&val);
m = -2;
} else
m = ZTOS(mq);
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 = ZTOS((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 = 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; do_weyl = 0; return;
}
m = ZTOS((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(NODE arg,LIST *rp)
{
LIST f,v;
int m,homo,ac;
Obj val;
int retdp;
Num nhomo;
struct order_spec *ord;
do_weyl = 0;
if ( (ac = argc(arg)) == 5 ) {
asir_assert(ARG0(arg),O_LIST,"nd_gr_trace");
asir_assert(ARG1(arg),O_LIST,"nd_gr_trace");
asir_assert(ARG2(arg),O_N,"nd_gr_trace");
asir_assert(ARG3(arg),O_N,"nd_gr_trace");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
homo = ZTOS((Q)ARG2(arg));
m = ZTOS((Q)ARG3(arg));
create_order_spec(0,ARG4(arg),&ord);
} else if ( ac == 1 ) {
f = (LIST)ARG0(arg);
parse_gr_option(f,current_option,&v,&nhomo,&m,&ord);
homo = ZTOS((Q)nhomo);
} else
error("nd_gr_trace : invalid argument");
retdp = 0;
if ( get_opt("dp",&val) && val ) retdp = 1;
nd_gr_trace(f,v,m,homo,retdp,0,ord,rp);
}
void Pnd_f4_trace(NODE arg,LIST *rp)
{
LIST f,v;
int m,homo,ac;
int retdp;
Obj val;
Num nhomo;
struct order_spec *ord;
do_weyl = 0;
if ( (ac = argc(arg))==5 ) {
asir_assert(ARG0(arg),O_LIST,"nd_f4_trace");
asir_assert(ARG1(arg),O_LIST,"nd_f4_trace");
asir_assert(ARG2(arg),O_N,"nd_f4_trace");
asir_assert(ARG3(arg),O_N,"nd_f4_trace");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
homo = ZTOS((Q)ARG2(arg));
m = ZTOS((Q)ARG3(arg));
create_order_spec(0,ARG4(arg),&ord);
} else if ( ac == 1 ) {
f = (LIST)ARG0(arg);
parse_gr_option(f,current_option,&v,&nhomo,&m,&ord);
homo = ZTOS((Q)nhomo);
} else
error("nd_gr_trace : invalid argument");
retdp = 0;
if ( get_opt("dp",&val) && val ) retdp = 1;
nd_gr_trace(f,v,m,homo,retdp,1,ord,rp);
}
void Pnd_weyl_gr(NODE arg,LIST *rp)
{
LIST f,v;
int m,homo,retdp,ac;
Obj val;
Num nhomo;
struct order_spec *ord;
do_weyl = 1;
retdp = 0;
if ( (ac = argc(arg)) == 4 ) {
asir_assert(ARG0(arg),O_LIST,"nd_weyl_gr");
asir_assert(ARG1(arg),O_LIST,"nd_weyl_gr");
asir_assert(ARG2(arg),O_N,"nd_weyl_gr");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; do_weyl = 0; return;
}
m = ZTOS((Q)ARG2(arg));
create_order_spec(0,ARG3(arg),&ord);
homo = 0;
if ( get_opt("homo",&val) && val ) homo = 1;
if ( get_opt("dp",&val) && val ) retdp = 1;
} else if ( ac == 1 ) {
f = (LIST)ARG0(arg);
parse_gr_option(f,current_option,&v,&nhomo,&m,&ord);
homo = ZTOS((Q)nhomo);
if ( get_opt("dp",&val) && val ) retdp = 1;
} else
error("nd_weyl_gr : invalid argument");
nd_gr(f,v,m,homo,retdp,0,ord,rp);
do_weyl = 0;
}
void Pnd_weyl_gr_trace(NODE arg,LIST *rp)
{
LIST f,v;
int m,homo,ac,retdp;
Obj val;
Num nhomo;
struct order_spec *ord;
do_weyl = 1;
if ( (ac = argc(arg)) == 5 ) {
asir_assert(ARG0(arg),O_LIST,"nd_weyl_gr_trace");
asir_assert(ARG1(arg),O_LIST,"nd_weyl_gr_trace");
asir_assert(ARG2(arg),O_N,"nd_weyl_gr_trace");
asir_assert(ARG3(arg),O_N,"nd_weyl_gr_trace");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; do_weyl = 0; return;
}
homo = ZTOS((Q)ARG2(arg));
m = ZTOS((Q)ARG3(arg));
create_order_spec(0,ARG4(arg),&ord);
} else if ( ac == 1 ) {
f = (LIST)ARG0(arg);
parse_gr_option(f,current_option,&v,&nhomo,&m,&ord);
homo = ZTOS((Q)nhomo);
} else
error("nd_weyl_gr_trace : invalid argument");
retdp = 0;
if ( get_opt("dp",&val) && val ) retdp = 1;
nd_gr_trace(f,v,m,homo,retdp,0,ord,rp);
do_weyl = 0;
}
void Pnd_nf(NODE arg,Obj *rp)
{
Obj f;
LIST g,v;
struct order_spec *ord;
do_weyl = 0;
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 = (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,ZTOS((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,ZTOS((Q)ARG4(arg)),ord,rp);
}
/* for Weyl algebra */
void Pdp_weyl_gr_main(NODE arg,LIST *rp)
{
LIST f,v;
Num homo;
Z m,z;
int modular,ac;
struct order_spec *ord;
asir_assert(ARG0(arg),O_LIST,"dp_weyl_gr_main");
f = (LIST)ARG0(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
if ( (ac = argc(arg)) == 5 ) {
asir_assert(ARG1(arg),O_LIST,"dp_weyl_gr_main");
asir_assert(ARG2(arg),O_N,"dp_weyl_gr_main");
asir_assert(ARG3(arg),O_N,"dp_weyl_gr_main");
v = (LIST)ARG1(arg);
homo = (Num)ARG2(arg);
m = (Z)ARG3(arg);
STOZ(0x80000000,z);
if ( !m )
modular = 0;
else if ( cmpz(m,z) >= 0 )
error("dp_weyl_gr_main : too large modulus");
else
modular = ZTOS(m);
create_order_spec(0,ARG4(arg),&ord);
} else if ( current_option )
parse_gr_option(f,current_option,&v,&homo,&modular,&ord);
else if ( ac == 1 )
parse_gr_option(f,0,&v,&homo,&modular,&ord);
else
error("dp_weyl_gr_main : invalid argument");
do_weyl = 1;
dp_gr_main(f,v,homo,modular,0,ord,rp);
do_weyl = 0;
}
void Pdp_weyl_gr_f_main(NODE arg,LIST *rp)
{
LIST f,v;
Num homo;
struct order_spec *ord;
asir_assert(ARG0(arg),O_LIST,"dp_weyl_gr_main");
asir_assert(ARG1(arg),O_LIST,"dp_weyl_gr_main");
asir_assert(ARG2(arg),O_N,"dp_weyl_gr_main");
asir_assert(ARG3(arg),O_N,"dp_weyl_gr_main");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
homo = (Num)ARG2(arg);
create_order_spec(0,ARG3(arg),&ord);
do_weyl = 1;
dp_gr_main(f,v,homo,0,1,ord,rp);
do_weyl = 0;
}
void Pdp_weyl_f4_main(NODE arg,LIST *rp)
{
LIST f,v;
struct order_spec *ord;
asir_assert(ARG0(arg),O_LIST,"dp_weyl_f4_main");
asir_assert(ARG1(arg),O_LIST,"dp_weyl_f4_main");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
create_order_spec(0,ARG2(arg),&ord);
do_weyl = 1;
dp_f4_main(f,v,ord,rp);
do_weyl = 0;
}
void Pdp_weyl_f4_mod_main(NODE arg,LIST *rp)
{
LIST f,v;
int m;
struct order_spec *ord;
asir_assert(ARG0(arg),O_LIST,"dp_weyl_f4_main");
asir_assert(ARG1(arg),O_LIST,"dp_weyl_f4_main");
asir_assert(ARG2(arg),O_N,"dp_f4_main");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); m = ZTOS((Q)ARG2(arg));
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
if ( !m )
error("dp_weyl_f4_mod_main : invalid argument");
create_order_spec(0,ARG3(arg),&ord);
do_weyl = 1;
dp_f4_mod_main(f,v,m,ord,rp);
do_weyl = 0;
}
void Pdp_weyl_gr_mod_main(NODE arg,LIST *rp)
{
LIST f,v;
Num homo;
int m;
struct order_spec *ord;
asir_assert(ARG0(arg),O_LIST,"dp_weyl_gr_mod_main");
asir_assert(ARG1(arg),O_LIST,"dp_weyl_gr_mod_main");
asir_assert(ARG2(arg),O_N,"dp_weyl_gr_mod_main");
asir_assert(ARG3(arg),O_N,"dp_weyl_gr_mod_main");
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg);
f = remove_zero_from_list(f);
if ( !BDY(f) ) {
*rp = f; return;
}
homo = (Num)ARG2(arg); m = ZTOS((Q)ARG3(arg));
if ( !m )
error("dp_weyl_gr_mod_main : invalid argument");
create_order_spec(0,ARG4(arg),&ord);
do_weyl = 1;
dp_gr_mod_main(f,v,homo,m,ord,rp);
do_weyl = 0;
}
VECT current_dl_weight_vector_obj;
int *current_dl_weight_vector;
int dp_negative_weight;
void Pdp_set_weight(NODE arg,VECT *rp)
{
VECT v;
int i,n;
NODE node;
if ( !arg )
*rp = current_dl_weight_vector_obj;
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 )
error("dp_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_dl_weight_vector_obj = v;
n = v->len;
current_dl_weight_vector = (int *)CALLOC(n,sizeof(int));
for ( i = 0; i < n; i++ )
current_dl_weight_vector[i] = ZTOS((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] = ZTOS((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((Q)BDY(v)[i]) || sgnz((Z)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((Q)mi[j]) || sgnz((Z)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(NODE arg,VECT *rp)
{
VECT v;
NODE node;
int i,n;
if ( !arg )
*rp = current_weyl_weight_vector_obj;
else if ( !ARG0(arg) ) {
current_weyl_weight_vector_obj = 0;
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));
for ( i = 0; i < n; i++ )
current_weyl_weight_vector[i] = ZTOS((Q)v->body[i]);
*rp = v;
}
}
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 = (Obj)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 = ZTOS((Q)ARG0(BDY(p)));
p1 = ZTOS((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;
Z 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) = (Obj)ONE;
NEXT(mp) = 0; MKDP(nv,mp,u); u->sugar = l1->td;
STOZ(i,iq); STOZ(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) = (Obj)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 = ZTOS((Q)ARG1(arg));
f2 = BDY((LIST)ARG2(arg));
g = (DP *)BDY((VECT)ARG3(arg));
simp = ZTOS((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 = ZTOS((Q)ARG2(arg));
*rp = sumi_updatepairs(d,f,m);
}
LIST remove_zero_from_list(LIST l)
{
NODE n,r0,r;
LIST rl;
asir_assert(l,O_LIST,"remove_zero_from_list");
n = BDY(l);
for ( r0 = 0; n; n = NEXT(n) )
if ( BDY(n) ) {
NEXTNODE(r0,r);
BDY(r) = BDY(n);
}
if ( r0 )
NEXT(r) = 0;
MKLIST(rl,r0);
return rl;
}
int get_field_type(P p)
{
int type,t;
DCP dc;
if ( !p )
return 0;
else if ( NUM(p) )
return NID((Num)p);
else {
type = 0;
for ( dc = DC(p); dc; dc = NEXT(dc) ) {
t = get_field_type(COEF(dc));
if ( !t )
continue;
if ( t < 0 )
return t;
if ( !type )
type = t;
else if ( t != type )
return -1;
}
return type;
}
}
void Pdpv_ord(NODE arg,Obj *rp)
{
int ac,id;
LIST shift;
ac = argc(arg);
if ( ac ) {
id = ZTOS((Q)ARG0(arg));
if ( ac > 1 && ARG1(arg) && OID((Obj)ARG1(arg))==O_LIST )
shift = (LIST)ARG1(arg);
else
shift = 0;
create_modorder_spec(id,shift,&dp_current_modspec);
}
*rp = dp_current_modspec->obj;
}
extern int dpm_ordtype;
extern DMMstack dmm_stack;
void set_schreyer_order(LIST n);
void Pdpm_set_schreyer(NODE arg,LIST *rp)
{
if ( argc(arg) ) {
set_schreyer_order(ARG0(arg)?(LIST)ARG0(arg):0);
}
if ( dmm_stack )
*rp = dmm_stack->obj;
else
*rp = 0;
}
DMMstack_array Schreyer_Frame;
DMMstack_array dpm_schreyer_frame(NODE n,int lex);
void set_schreyer_level(DMMstack_array array,int level);
void Pdpm_set_schreyer_level(NODE arg,Q *rp)
{
set_schreyer_level(Schreyer_Frame,ZTOS((Q)ARG0(arg)));
*rp = (Q)ARG0(arg);
}
void Pdpm_schreyer_frame(NODE arg,LIST *rp)
{
DMMstack_array a;
DMMstack *body;
DMM *in,*sum;
DPM f,s;
NODE b,b1,nd;
LIST l;
VECT v;
Z lev,deg,ind;
int len,i,nv,rank,j,lex;
NODE tt,p;
char *key;
Obj value;
lex = 0;
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,"lex") )
lex = value!=0?1:0;
else {
error("dpm_schreyer_frame: unknown option.");
}
}
}
Schreyer_Frame = a = dpm_schreyer_frame(BDY((LIST)ARG0(arg)),lex);
len = a->len;
body = a->body;
/* XXX */
nv = ((DPM)BDY(BDY((LIST)body[0]->obj)))->nv;
b = 0;
for ( i = 0; i < len; i++ ) {
rank = body[i]->rank;
in = body[i]->in;
sum = body[i]->sum;
MKVECT(v,rank+1);
STOZ(i+1,lev);
for ( j = 1; j <= rank; j++ ) {
MKDPM(nv,in[j],f); f->sugar = in[j]->dl->td;
MKDPM(nv,sum[j],s);s->sugar = sum[j]->dl->td;
STOZ(s->sugar,deg);
STOZ(j,ind);
nd = mknode(5,f,s,ind,lev,deg);
MKLIST(l,nd);
BDY(v)[j] = (pointer)l;
}
MKNODE(b1,(pointer)v,b);
b = b1;
}
MKLIST(l,b);
*rp = l;
}
void Pdpm_hm(NODE arg,DPM *rp)
{
DPM p;
p = (DPM)ARG0(arg); asir_assert(p,O_DPM,"dpm_hm");
dpm_hm(p,rp);
}
void Pdpm_ht(NODE arg,DPM *rp)
{
DPM p;
p = (DPM)ARG0(arg); asir_assert(p,O_DPM,"dpm_ht");
dpm_ht(p,rp);
}
void dpm_rest(DPM p,DPM *r);
void Pdpm_rest(NODE arg,DPM *rp)
{
DPM p;
p = (DPM)ARG0(arg); asir_assert(p,O_DPM,"dpm_ht");
dpm_rest(p,rp);
}
void Pdpm_hp(NODE arg,Z *rp)
{
DPM p;
int pos;
p = (DPM)ARG0(arg); asir_assert(p,O_DPM,"dpm_ht");
pos = BDY(p)->pos;
STOZ(pos,*rp);
}
void dpm_shift(DPM p,int s,DPM *rp);
void Pdpm_shift(NODE arg,DPM *rp)
{
DPM p;
int s;
p = (DPM)ARG0(arg); asir_assert(p,O_DPM,"dpm_shift");
s = ZTOS((Z)ARG1(arg));
dpm_shift(p,s,rp);
}
void dpm_sort(DPM p,DPM *rp);
void Pdpm_sort(NODE arg,DPM *rp)
{
DPM p;
int s;
p = (DPM)ARG0(arg);
if ( !p ) *rp = 0;
else dpm_sort(p,rp);
}
void dpm_split(DPM p,int s,DPM *up,DPM *lo);
void dpm_extract(DPM p,int s,DP *r);
void Pdpm_split(NODE arg,LIST *rp)
{
DPM p,up,lo;
int s;
NODE nd;
p = (DPM)ARG0(arg);
s = ZTOS((Z)ARG1(arg));
dpm_split(p,s,&up,&lo);
nd = mknode(2,up,lo);
MKLIST(*rp,nd);
}
void Pdpm_extract(NODE arg,DP *rp)
{
DPM p;
int s;
p = (DPM)ARG0(arg);
s = ZTOS((Z)ARG1(arg));
dpm_extract(p,s,rp);
}
void Pdpm_hc(NODE arg,DP *rp)
{
DPM p;
DP d;
MP m;
asir_assert(ARG0(arg),O_DPM,"dpm_hc");
if ( !ARG0(arg) )
*rp = 0;
else {
p = (DPM)ARG0(arg);
NEWMP(m);
m->dl = BDY(p)->dl;
m->c = BDY(p)->c;
NEXT(m) = 0;
MKDP(NV(p),m,d); d->sugar = p->sugar;
*rp = d;
}
}
void Pdpv_ht(NODE arg,LIST *rp)
{
NODE n;
DP ht;
int pos;
DPV p;
Z q;
asir_assert(ARG0(arg),O_DPV,"dpv_ht");
p = (DPV)ARG0(arg);
pos = dpv_hp(p);
if ( pos < 0 )
ht = 0;
else
dp_ht(BDY(p)[pos],&ht);
STOZ(pos,q);
n = mknode(2,q,ht);
MKLIST(*rp,n);
}
void Pdpv_hm(NODE arg,LIST *rp)
{
NODE n;
DP ht;
int pos;
DPV p;
Z q;
asir_assert(ARG0(arg),O_DPV,"dpv_hm");
p = (DPV)ARG0(arg);
pos = dpv_hp(p);
if ( pos < 0 )
ht = 0;
else
dp_hm(BDY(p)[pos],&ht);
STOZ(pos,q);
n = mknode(2,q,ht);
MKLIST(*rp,n);
}
void Pdpv_hc(NODE arg,LIST *rp)
{
NODE n;
P hc;
int pos;
DPV p;
Z q;
asir_assert(ARG0(arg),O_DPV,"dpv_hc");
p = (DPV)ARG0(arg);
pos = dpv_hp(p);
if ( pos < 0 )
hc = 0;
else
hc = (P)BDY(BDY(p)[pos])->c;
STOZ(pos,q);
n = mknode(2,q,hc);
MKLIST(*rp,n);
}
int dpv_hp(DPV p)
{
int len,i,maxp,maxw,w,slen;
int *shift;
DP *e;
len = p->len;
e = p->body;
slen = dp_current_modspec->len;
shift = dp_current_modspec->degree_shift;
switch ( dp_current_modspec->id ) {
case ORD_REVGRADLEX:
for ( maxp = -1, i = 0; i < len; i++ )
if ( !e[i] ) continue;
else if ( maxp < 0 ) {
maxw = BDY(e[i])->dl->td+(i<slen?shift[i]:0); maxp = i;
} else {
w = BDY(e[i])->dl->td+(i<slen?shift[i]:0);
if ( w >= maxw ) {
maxw = w; maxp = i;
}
}
return maxp;
case ORD_GRADLEX:
for ( maxp = -1, i = 0; i < len; i++ )
if ( !e[i] ) continue;
else if ( maxp < 0 ) {
maxw = BDY(e[i])->dl->td+(i<slen?shift[i]:0); maxp = i;
} else {
w = BDY(e[i])->dl->td+(i<slen?shift[i]:0);
if ( w > maxw ) {
maxw = w; maxp = i;
}
}
return maxp;
break;
case ORD_LEX:
for ( i = 0; i < len; i++ )
if ( e[i] ) return i;
return -1;
break;
default:
error("dpv_hp : unsupported term ordering");
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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