version 1.1.1.1, 1999/12/03 07:39:07 |
version 1.92, 2014/08/19 06:35:01 |
|
|
/* $OpenXM: OpenXM/src/asir99/builtin/dp.c,v 1.1.1.1 1999/11/10 08:12:25 noro Exp $ */ |
/* |
|
* 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/asir2000/builtin/dp.c,v 1.91 2013/09/12 06:46:16 noro Exp $ |
|
*/ |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
#include "parse.h" |
#include "parse.h" |
|
|
extern int dp_fcoeffs; |
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; |
|
|
void Pdp_ord(), Pdp_ptod(), Pdp_dtop(); |
int do_weyl; |
|
|
|
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_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_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_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_prim(),Pdp_red_coef(),Pdp_mag(),Pdp_set_kara(),Pdp_rat(); |
void Pdp_nf(),Pdp_true_nf(),Pdp_nf_ptozp(); |
void Pdp_nf(),Pdp_true_nf(),Pdp_true_nf_marked(),Pdp_true_nf_marked_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_nf_mod(),Pdp_true_nf_mod(); |
void Pdp_criB(),Pdp_nelim(); |
void Pdp_criB(),Pdp_nelim(); |
void Pdp_minp(),Pdp_nf_demand(),Pdp_sp_mod(); |
void Pdp_minp(),Pdp_sp_mod(); |
void Pdp_homo(),Pdp_dehomo(); |
void Pdp_homo(),Pdp_dehomo(); |
void Pdp_gr_mod_main(); |
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_gr_main(),Pdp_gr_hm_main(),Pdp_gr_d_main(),Pdp_gr_flags(); |
void Pdp_f4_main(),Pdp_f4_mod_main(); |
void Pdp_interreduce(); |
|
void Pdp_f4_main(),Pdp_f4_mod_main(),Pdp_f4_f_main(); |
void Pdp_gr_print(); |
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 Pdp_weyl_red(); |
|
void Pdp_weyl_sp(); |
|
void Pdp_weyl_nf(),Pdp_weyl_nf_mod(); |
|
void Pdp_weyl_gr_main(),Pdp_weyl_gr_mod_main(),Pdp_weyl_gr_f_main(); |
|
void Pdp_weyl_f4_main(),Pdp_weyl_f4_mod_main(),Pdp_weyl_f4_f_main(); |
|
void Pdp_weyl_mul(),Pdp_weyl_mul_mod(); |
|
void Pdp_weyl_set_weight(); |
|
void Pdp_set_weight(),Pdp_set_top_weight(),Pdp_set_module_weight(); |
|
void Pdp_nf_f(),Pdp_weyl_nf_f(); |
|
void Pdp_lnf_f(); |
|
void Pnd_gr(),Pnd_gr_trace(),Pnd_f4(),Pnd_f4_trace(); |
|
void Pnd_gr_postproc(), 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(); |
|
|
|
LIST dp_initial_term(); |
|
LIST dp_order(); |
|
void parse_gr_option(LIST f,NODE opt,LIST *v,Num *homo, |
|
int *modular,struct order_spec **ord); |
|
NODE dp_inv_or_split(NODE gb,DP f,struct order_spec *spec, DP *inv); |
|
|
|
LIST remove_zero_from_list(LIST); |
|
|
struct ftab dp_tab[] = { |
struct ftab dp_tab[] = { |
{"dp_ord",Pdp_ord,-1}, |
/* content reduction */ |
{"dp_ptod",Pdp_ptod,2}, |
|
{"dp_dtop",Pdp_dtop,2}, |
|
{"dp_ptozp",Pdp_ptozp,1}, |
{"dp_ptozp",Pdp_ptozp,1}, |
{"dp_ptozp2",Pdp_ptozp2,2}, |
{"dp_ptozp2",Pdp_ptozp2,2}, |
{"dp_prim",Pdp_prim,1}, |
{"dp_prim",Pdp_prim,1}, |
{"dp_redble",Pdp_redble,2}, |
{"dp_red_coef",Pdp_red_coef,2}, |
{"dp_subd",Pdp_subd,2}, |
{"dp_cont",Pdp_cont,1}, |
{"dp_red",Pdp_red,3}, |
|
{"dp_red_mod",Pdp_red_mod,4}, |
/* 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",Pdp_sp,2}, |
{"dp_sp_mod",Pdp_sp_mod,3}, |
{"dp_sp_mod",Pdp_sp_mod,3}, |
{"dp_lcm",Pdp_lcm,2}, |
|
{"dp_hm",Pdp_hm,1}, |
/* m-reduction */ |
{"dp_ht",Pdp_ht,1}, |
{"dp_red",Pdp_red,3}, |
{"dp_hc",Pdp_hc,1}, |
{"dp_red_mod",Pdp_red_mod,4}, |
{"dp_rest",Pdp_rest,1}, |
|
{"dp_td",Pdp_td,1}, |
/* normal form */ |
{"dp_sugar",Pdp_sugar,1}, |
|
{"dp_cri1",Pdp_cri1,2}, |
|
{"dp_cri2",Pdp_cri2,2}, |
|
{"dp_criB",Pdp_criB,3}, |
|
{"dp_minp",Pdp_minp,2}, |
|
{"dp_mod",Pdp_mod,3}, |
|
{"dp_rat",Pdp_rat,1}, |
|
{"dp_tdiv",Pdp_tdiv,2}, |
|
{"dp_red_coef",Pdp_red_coef,2}, |
|
{"dp_nelim",Pdp_nelim,-1}, |
|
{"dp_mag",Pdp_mag,1}, |
|
{"dp_set_kara",Pdp_set_kara,-1}, |
|
{"dp_nf",Pdp_nf,4}, |
{"dp_nf",Pdp_nf,4}, |
|
{"dp_nf_f",Pdp_nf_f,4}, |
{"dp_true_nf",Pdp_true_nf,4}, |
{"dp_true_nf",Pdp_true_nf,4}, |
{"dp_nf_ptozp",Pdp_nf_ptozp,5}, |
{"dp_true_nf_marked",Pdp_true_nf_marked,4}, |
{"dp_nf_demand",Pdp_nf_demand,5}, |
{"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_true_nf_marked_mod",Pdp_true_nf_marked_mod,5}, |
{"dp_nf_mod",Pdp_nf_mod,5}, |
{"dp_nf_mod",Pdp_nf_mod,5}, |
{"dp_true_nf_mod",Pdp_true_nf_mod,5}, |
{"dp_true_nf_mod",Pdp_true_nf_mod,5}, |
{"dp_homo",Pdp_homo,1}, |
{"dp_lnf_mod",Pdp_lnf_mod,3}, |
{"dp_dehomo",Pdp_dehomo,1}, |
{"dp_nf_tab_f",Pdp_nf_tab_f,2}, |
{"dp_gr_main",Pdp_gr_main,5}, |
{"dp_nf_tab_mod",Pdp_nf_tab_mod,3}, |
/* {"dp_gr_hm_main",Pdp_gr_hm_main,5}, */ |
{"dp_lnf_f",Pdp_lnf_f,2}, |
/* {"dp_gr_d_main",Pdp_gr_d_main,6}, */ |
|
|
/* 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_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_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_main",Pdp_f4_main,3}, |
{"dp_f4_mod_main",Pdp_f4_mod_main,4}, |
{"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}, |
|
|
|
/* 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}, |
|
{"dp_weyl_nf_mod",Pdp_weyl_nf_mod,5}, |
|
{"dp_weyl_nf_f",Pdp_weyl_nf_f,4}, |
|
|
|
/* 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}, |
|
|
|
/* 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}, |
|
{"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_flags",Pdp_gr_flags,-1}, |
{"dp_gr_print",Pdp_gr_print,-1}, |
{"dp_gr_print",Pdp_gr_print,-1}, |
{0,0,0}, |
|
|
/* 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}, |
|
|
|
/* 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}, |
|
{"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}, |
|
|
|
/* misc */ |
|
{"dp_mbase",Pdp_mbase,1}, |
|
{"dp_redble",Pdp_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}, |
|
|
|
{0,0,0} |
}; |
}; |
|
|
extern int dp_nelim; |
NODE compute_last_w(NODE g,NODE gh,int n,int **v,int row1,int **m1,int row2,int **m2); |
extern int dp_order_pair_length; |
Q compute_last_t(NODE g,NODE gh,Q t,VECT w1,VECT w2,NODE *homo,VECT *wp); |
extern struct order_pair *dp_order_pair; |
|
extern struct order_spec dp_current_spec; |
|
|
|
void Pdp_ord(arg,rp) |
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; |
|
Q 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] = QTOS((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] = QTOS((Q)w1->body[i][j]); |
|
m2 = almat(row2,n); |
|
for ( i = 0; i < row2; i++ ) |
|
for ( j = 0; j < n; j++ ) m2[i][j] = QTOS((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++ ) { |
|
STOQ(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(arg,rp) |
NODE arg; |
NODE arg; |
Obj *rp; |
Obj *rp; |
{ |
{ |
struct order_spec spec; |
NODE gb,newgb; |
|
DP f,inv; |
|
struct order_spec *spec; |
|
LIST list; |
|
|
if ( !arg ) |
do_weyl = 0; dp_fcoeffs = 0; |
*rp = dp_current_spec.obj; |
asir_assert(ARG0(arg),O_LIST,"dp_inv_or_split"); |
else if ( !create_order_spec((Obj)ARG0(arg),&spec) ) |
asir_assert(ARG1(arg),O_DP,"dp_inv_or_split"); |
error("dp_ord : invalid order specification"); |
if ( !create_order_spec(0,(Obj)ARG2(arg),&spec) ) |
else { |
error("dp_inv_or_split : invalid order specification"); |
initd(&spec); *rp = spec.obj; |
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; |
} |
} |
} |
} |
|
|
int create_order_spec(obj,spec) |
void Pdp_sort(arg,rp) |
Obj obj; |
NODE arg; |
struct order_spec *spec; |
DP *rp; |
{ |
{ |
int i,j,n,s,row,col; |
dp_sort((DP)ARG0(arg),rp); |
struct order_pair *l; |
} |
NODE node,t,tn; |
|
MAT m; |
|
pointer **b; |
|
int **w; |
|
|
|
if ( !obj || NUM(obj) ) { |
void Pdp_mdtod(arg,rp) |
spec->id = 0; spec->obj = obj; |
NODE arg; |
spec->ord.simple = QTOS((Q)obj); |
DP *rp; |
return 1; |
{ |
} else if ( OID(obj) == O_LIST ) { |
MP m,mr,mr0; |
node = BDY((LIST)obj); |
DP p; |
for ( n = 0, t = node; t; t = NEXT(t), n++ ); |
P t; |
l = (struct order_pair *)MALLOC_ATOMIC(n*sizeof(struct order_pair)); |
|
for ( i = 0, t = node, s = 0; i < n; t = NEXT(t), i++ ) { |
p = (DP)ARG0(arg); |
tn = BDY((LIST)BDY(t)); l[i].order = QTOS((Q)BDY(tn)); |
if ( !p ) |
tn = NEXT(tn); l[i].length = QTOS((Q)BDY(tn)); |
*rp = 0; |
s += l[i].length; |
else { |
|
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
|
mptop(m->c,&t); NEXTMP(mr0,mr); mr->c = t; mr->dl = m->dl; |
} |
} |
spec->id = 1; spec->obj = obj; |
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; |
spec->ord.block.order_pair = l; |
} |
spec->ord.block.length = n; spec->nv = s; |
|
return 1; |
|
} else if ( OID(obj) == O_MAT ) { |
|
m = (MAT)obj; row = m->row; col = m->col; b = BDY(m); |
|
w = almat(row,col); |
|
for ( i = 0; i < row; i++ ) |
|
for ( j = 0; j < col; j++ ) |
|
w[i][j] = QTOS((Q)b[i][j]); |
|
spec->id = 2; spec->obj = obj; |
|
spec->nv = col; spec->ord.matrix.row = row; |
|
spec->ord.matrix.matrix = w; |
|
return 1; |
|
} else |
|
return 0; |
|
} |
} |
|
|
void homogenize_order(old,n,new) |
void Pdp_sep(arg,rp) |
struct order_spec *old,*new; |
NODE arg; |
int n; |
VECT *rp; |
{ |
{ |
struct order_pair *l; |
DP p,r; |
int length,nv,row,i,j; |
MP m,t; |
int **newm,**oldm; |
MP *w0,*w; |
|
int i,n,d,nv,sugar; |
|
VECT v; |
|
pointer *pv; |
|
|
switch ( old->id ) { |
p = (DP)ARG0(arg); m = BDY(p); |
case 0: |
d = QTOS((Q)ARG1(arg)); |
switch ( old->ord.simple ) { |
for ( t = m, n = 0; t; t = NEXT(t), n++ ); |
case 0: |
if ( d > n ) |
new->id = 0; new->ord.simple = 0; break; |
d = n; |
case 1: |
MKVECT(v,d); *rp = v; |
l = (struct order_pair *) |
pv = BDY(v); nv = p->nv; sugar = p->sugar; |
MALLOC_ATOMIC(2*sizeof(struct order_pair)); |
w0 = (MP *)MALLOC(d*sizeof(MP)); bzero(w0,d*sizeof(MP)); |
l[0].length = n; l[0].order = 1; |
w = (MP *)MALLOC(d*sizeof(MP)); bzero(w,d*sizeof(MP)); |
l[1].length = 1; l[1].order = 2; |
for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, i %= d ) { |
new->id = 1; |
NEXTMP(w0[i],w[i]); w[i]->c = t->c; w[i]->dl = t->dl; |
new->ord.block.order_pair = l; |
|
new->ord.block.length = 2; new->nv = n+1; |
|
break; |
|
case 2: |
|
new->id = 0; new->ord.simple = 1; break; |
|
case 3: case 4: case 5: |
|
new->id = 0; new->ord.simple = old->ord.simple+3; |
|
dp_nelim = n-1; break; |
|
case 6: case 7: case 8: case 9: |
|
new->id = 0; new->ord.simple = old->ord.simple; break; |
|
default: |
|
error("homogenize_order : invalid input"); |
|
} |
|
break; |
|
case 1: |
|
length = old->ord.block.length; |
|
l = (struct order_pair *) |
|
MALLOC_ATOMIC((length+1)*sizeof(struct order_pair)); |
|
bcopy((char *)old->ord.block.order_pair,(char *)l,length*sizeof(struct order_pair)); |
|
l[length].order = 2; l[length].length = 1; |
|
new->id = 1; new->nv = n+1; |
|
new->ord.block.order_pair = l; |
|
new->ord.block.length = length+1; |
|
break; |
|
case 2: |
|
nv = old->nv; row = old->ord.matrix.row; |
|
oldm = old->ord.matrix.matrix; newm = almat(row+1,nv+1); |
|
for ( i = 0; i <= nv; i++ ) |
|
newm[0][i] = 1; |
|
for ( i = 0; i < row; i++ ) { |
|
for ( j = 0; j < nv; j++ ) |
|
newm[i+1][j] = oldm[i][j]; |
|
newm[i+1][j] = 0; |
|
} |
|
new->id = 2; new->nv = nv+1; |
|
new->ord.matrix.row = row+1; new->ord.matrix.matrix = newm; |
|
break; |
|
default: |
|
error("homogenize_order : invalid input"); |
|
} |
} |
|
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(arg,rp) |
|
NODE arg; |
|
DP *rp; |
|
{ |
|
dp_idiv((DP)ARG0(arg),(Q)ARG1(arg),rp); |
|
} |
|
|
|
void Pdp_cont(arg,rp) |
|
NODE arg; |
|
Q *rp; |
|
{ |
|
dp_cont((DP)ARG0(arg),rp); |
|
} |
|
|
|
void Pdp_dtov(arg,rp) |
|
NODE arg; |
|
VECT *rp; |
|
{ |
|
dp_dtov((DP)ARG0(arg),rp); |
|
} |
|
|
|
void Pdp_mbase(arg,rp) |
|
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(arg,rp) |
|
NODE arg; |
|
VECT *rp; |
|
{ |
|
DP dp; |
|
int n,i; |
|
int *d; |
|
VECT v; |
|
Q 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++ ) { |
|
STOQ(d[i],t); v->body[i] = (pointer)t; |
|
} |
|
*rp = v; |
|
} |
|
|
|
void Pdp_vtoe(arg,rp) |
|
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] = QTOS((Q)(v->body[i])); td += MUL_WEIGHT(d[i],i); |
|
} |
|
dl->td = td; |
|
NEWMP(m); m->dl = dl; m->c = (P)ONE; NEXT(m) = 0; |
|
MKDP(n,m,dp); dp->sugar = td; |
|
*rp = dp; |
|
} |
|
|
|
void Pdp_lnf_mod(arg,rp) |
|
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 = QTOS((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(arg,rp) |
|
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(arg,rp) |
|
NODE arg; |
|
DP *rp; |
|
{ |
|
asir_assert(ARG0(arg),O_DP,"dp_nf_tab_mod"); |
|
asir_assert(ARG1(arg),O_VECT,"dp_nf_tab_mod"); |
|
asir_assert(ARG2(arg),O_N,"dp_nf_tab_mod"); |
|
dp_nf_tab_mod((DP)ARG0(arg),(LIST *)BDY((VECT)ARG1(arg)), |
|
QTOS((Q)ARG2(arg)),rp); |
|
} |
|
|
|
void Pdp_nf_tab_f(arg,rp) |
|
NODE arg; |
|
DP *rp; |
|
{ |
|
asir_assert(ARG0(arg),O_DP,"dp_nf_tab_f"); |
|
asir_assert(ARG1(arg),O_VECT,"dp_nf_tab_f"); |
|
dp_nf_tab_f((DP)ARG0(arg),(LIST *)BDY((VECT)ARG1(arg)),rp); |
|
} |
|
|
|
void Pdp_ord(arg,rp) |
|
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; |
|
} |
|
} |
|
|
void Pdp_ptod(arg,rp) |
void Pdp_ptod(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
{ |
{ |
|
P p; |
NODE n; |
NODE n; |
VL vl,tvl; |
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"); |
asir_assert(ARG0(arg),O_P,"dp_ptod"); |
asir_assert(ARG1(arg),O_LIST,"dp_ptod"); |
p = (P)ARG0(arg); |
for ( vl = 0, n = BDY((LIST)ARG1(arg)); n; n = NEXT(n) ) { |
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 ) { |
if ( !vl ) { |
NEWVL(vl); tvl = vl; |
NEWVL(vl); tvl = vl; |
} else { |
} else { |
|
|
} |
} |
if ( vl ) |
if ( vl ) |
NEXT(tvl) = 0; |
NEXT(tvl) = 0; |
ptod(CO,vl,(P)ARG0(arg),rp); |
ptod(CO,vl,p,rp); |
} |
} |
|
|
|
void Phomogenize(arg,rp) |
|
NODE arg; |
|
P *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(arg,rp) |
|
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 Pdp_dtop(arg,rp) |
void Pdp_dtop(arg,rp) |
NODE arg; |
NODE arg; |
P *rp; |
P *rp; |
Line 241 extern LIST Dist; |
|
Line 741 extern LIST Dist; |
|
|
|
void Pdp_ptozp(arg,rp) |
void Pdp_ptozp(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
Obj *rp; |
{ |
{ |
|
Q 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"); |
asir_assert(ARG0(arg),O_DP,"dp_ptozp"); |
#if INET |
|
if ( Dist ) |
/* analyze the option */ |
dp_ptozp_d(BDY(Dist),length(BDY(Dist)),(DP)ARG0(arg),rp); |
if ( current_option ) { |
else |
for ( tt = current_option; tt; tt = NEXT(tt) ) { |
#endif |
p = BDY((LIST)BDY(tt)); |
dp_ptozp((DP)ARG0(arg),rp); |
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(arg,rp) |
void Pdp_ptozp2(arg,rp) |
|
|
p0 = (DP)ARG0(arg); p1 = (DP)ARG1(arg); |
p0 = (DP)ARG0(arg); p1 = (DP)ARG1(arg); |
asir_assert(p0,O_DP,"dp_ptozp2"); |
asir_assert(p0,O_DP,"dp_ptozp2"); |
asir_assert(p1,O_DP,"dp_ptozp2"); |
asir_assert(p1,O_DP,"dp_ptozp2"); |
#if INET |
dp_ptozp2(p0,p1,&h,&r); |
if ( Dist ) |
|
dp_ptozp2_d(BDY(Dist),length(BDY(Dist)),p0,p1,&h,&r); |
|
else |
|
#endif |
|
dp_ptozp2(p0,p1,&h,&r); |
|
NEWNODE(n0); BDY(n0) = (pointer)h; |
NEWNODE(n0); BDY(n0) = (pointer)h; |
NEWNODE(NEXT(n0)); BDY(NEXT(n0)) = (pointer)r; |
NEWNODE(NEXT(n0)); BDY(NEXT(n0)) = (pointer)r; |
NEXT(NEXT(n0)) = 0; |
NEXT(NEXT(n0)) = 0; |
|
|
dp_prim((DP)ARG0(arg),&t); dp_ptozp(t,rp); |
dp_prim((DP)ARG0(arg),&t); dp_ptozp(t,rp); |
} |
} |
|
|
extern int NoGCD; |
|
|
|
void dp_prim(p,rp) |
|
DP p,*rp; |
|
{ |
|
P t,g; |
|
DP p1; |
|
MP m,mr,mr0; |
|
int i,n; |
|
P *w; |
|
Q *c; |
|
Q dvr; |
|
|
|
if ( !p ) |
|
*rp = 0; |
|
else if ( dp_fcoeffs ) |
|
*rp = p; |
|
else if ( NoGCD ) |
|
dp_ptozp(p,rp); |
|
else { |
|
dp_ptozp(p,&p1); p = p1; |
|
for ( m = BDY(p), n = 0; m; m = NEXT(m), n++ ); |
|
if ( n == 1 ) { |
|
m = BDY(p); |
|
NEWMP(mr); mr->dl = m->dl; mr->c = (P)ONE; NEXT(mr) = 0; |
|
MKDP(p->nv,mr,*rp); (*rp)->sugar = p->sugar; |
|
return; |
|
} |
|
w = (P *)ALLOCA(n*sizeof(P)); |
|
c = (Q *)ALLOCA(n*sizeof(Q)); |
|
for ( m =BDY(p), i = 0; i < n; m = NEXT(m), i++ ) |
|
if ( NUM(m->c) ) { |
|
c[i] = (Q)m->c; w[i] = (P)ONE; |
|
} else |
|
ptozp(m->c,1,&c[i],&w[i]); |
|
qltozl(c,n,&dvr); heu_nezgcdnpz(CO,w,n,&t); mulp(CO,t,(P)dvr,&g); |
|
if ( NUM(g) ) |
|
*rp = p; |
|
else { |
|
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
|
NEXTMP(mr0,mr); divsp(CO,m->c,g,&mr->c); mr->dl = m->dl; |
|
} |
|
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; |
|
} |
|
} |
|
} |
|
|
|
void heu_nezgcdnpz(vl,pl,m,pr) |
|
VL vl; |
|
P *pl,*pr; |
|
int m; |
|
{ |
|
int i,r; |
|
P gcd,t,s1,s2,u; |
|
Q rq; |
|
|
|
while ( 1 ) { |
|
for ( i = 0, s1 = 0; i < m; i++ ) { |
|
r = random(); UTOQ(r,rq); |
|
mulp(vl,pl[i],(P)rq,&t); addp(vl,s1,t,&u); s1 = u; |
|
} |
|
for ( i = 0, s2 = 0; i < m; i++ ) { |
|
r = random(); UTOQ(r,rq); |
|
mulp(vl,pl[i],(P)rq,&t); addp(vl,s2,t,&u); s2 = u; |
|
} |
|
ezgcdp(vl,s1,s2,&gcd); |
|
for ( i = 0; i < m; i++ ) { |
|
if ( !divtpz(vl,pl[i],gcd,&t) ) |
|
break; |
|
} |
|
if ( i == m ) |
|
break; |
|
} |
|
*pr = gcd; |
|
} |
|
|
|
void dp_prim_mod(p,mod,rp) |
|
int mod; |
|
DP p,*rp; |
|
{ |
|
P t,g; |
|
MP m,mr,mr0; |
|
|
|
if ( !p ) |
|
*rp = 0; |
|
else if ( NoGCD ) |
|
*rp = p; |
|
else { |
|
for ( m = BDY(p), g = m->c, m = NEXT(m); m; m = NEXT(m) ) { |
|
gcdprsmp(CO,mod,g,m->c,&t); g = t; |
|
} |
|
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
|
NEXTMP(mr0,mr); divsmp(CO,mod,m->c,g,&mr->c); mr->dl = m->dl; |
|
} |
|
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; |
|
} |
|
} |
|
|
|
void Pdp_mod(arg,rp) |
void Pdp_mod(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
|
|
dp_rat((DP)ARG0(arg),rp); |
dp_rat((DP)ARG0(arg),rp); |
} |
} |
|
|
void dp_mod(p,mod,subst,rp) |
extern int DP_Multiple; |
DP p; |
|
int mod; |
void Pdp_nf(arg,rp) |
NODE subst; |
NODE arg; |
DP *rp; |
DP *rp; |
{ |
{ |
MP m,mr,mr0; |
NODE b; |
P t,s,s1; |
DP *ps; |
V v; |
DP g; |
NODE tn; |
int full; |
|
|
if ( !p ) |
do_weyl = 0; dp_fcoeffs = 0; |
*rp = 0; |
asir_assert(ARG0(arg),O_LIST,"dp_nf"); |
else { |
asir_assert(ARG1(arg),O_DP,"dp_nf"); |
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
asir_assert(ARG2(arg),O_VECT,"dp_nf"); |
for ( tn = subst, s = m->c; tn; tn = NEXT(tn) ) { |
asir_assert(ARG3(arg),O_N,"dp_nf"); |
v = VR((P)BDY(tn)); tn = NEXT(tn); |
if ( !(g = (DP)ARG1(arg)) ) { |
substp(CO,s,v,(P)BDY(tn),&s1); s = s1; |
*rp = 0; return; |
} |
|
ptomp(mod,s,&t); |
|
if ( t ) { |
|
NEXTMP(mr0,mr); mr->c = t; mr->dl = m->dl; |
|
} |
|
} |
|
if ( mr0 ) { |
|
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; |
|
} else |
|
*rp = 0; |
|
} |
} |
|
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); |
|
full = (Q)ARG3(arg) ? 1 : 0; |
|
dp_nf_z(b,g,ps,full,DP_Multiple,rp); |
} |
} |
|
|
void dp_rat(p,rp) |
void Pdp_weyl_nf(arg,rp) |
DP p; |
NODE arg; |
DP *rp; |
DP *rp; |
{ |
{ |
MP m,mr,mr0; |
NODE b; |
|
DP *ps; |
|
DP g; |
|
int full; |
|
|
if ( !p ) |
asir_assert(ARG0(arg),O_LIST,"dp_weyl_nf"); |
*rp = 0; |
asir_assert(ARG1(arg),O_DP,"dp_weyl_nf"); |
else { |
asir_assert(ARG2(arg),O_VECT,"dp_weyl_nf"); |
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
asir_assert(ARG3(arg),O_N,"dp_weyl_nf"); |
NEXTMP(mr0,mr); mptop(m->c,&mr->c); mr->dl = m->dl; |
if ( !(g = (DP)ARG1(arg)) ) { |
} |
*rp = 0; return; |
if ( mr0 ) { |
|
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; |
|
} else |
|
*rp = 0; |
|
} |
} |
|
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); |
|
full = (Q)ARG3(arg) ? 1 : 0; |
|
do_weyl = 1; |
|
dp_nf_z(b,g,ps,full,DP_Multiple,rp); |
|
do_weyl = 0; |
} |
} |
|
|
void Pdp_nf(arg,rp) |
/* nf computation using field operations */ |
|
|
|
void Pdp_nf_f(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
{ |
{ |
|
|
DP g; |
DP g; |
int full; |
int full; |
|
|
asir_assert(ARG0(arg),O_LIST,"dp_nf"); |
do_weyl = 0; |
asir_assert(ARG1(arg),O_DP,"dp_nf"); |
asir_assert(ARG0(arg),O_LIST,"dp_nf_f"); |
asir_assert(ARG2(arg),O_VECT,"dp_nf"); |
asir_assert(ARG1(arg),O_DP,"dp_nf_f"); |
asir_assert(ARG3(arg),O_N,"dp_nf"); |
asir_assert(ARG2(arg),O_VECT,"dp_nf_f"); |
|
asir_assert(ARG3(arg),O_N,"dp_nf_f"); |
if ( !(g = (DP)ARG1(arg)) ) { |
if ( !(g = (DP)ARG1(arg)) ) { |
*rp = 0; return; |
*rp = 0; return; |
} |
} |
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); |
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); |
full = (Q)ARG3(arg) ? 1 : 0; |
full = (Q)ARG3(arg) ? 1 : 0; |
dp_nf(b,g,ps,full,rp); |
dp_nf_f(b,g,ps,full,rp); |
} |
} |
|
|
|
void Pdp_weyl_nf_f(arg,rp) |
|
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 Pdp_nf_mod(arg,rp) |
|
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 = QTOS((Q)ARG3(arg)); mod = QTOS((Q)ARG4(arg)); |
|
for ( n0 = n = 0; b; b = NEXT(b) ) { |
|
NEXTNODE(n0,n); |
|
BDY(n) = (pointer)QTOS((Q)BDY(b)); |
|
} |
|
if ( n0 ) |
|
NEXT(n) = 0; |
|
dp_nf_mod(n0,g,ps,mod,full,rp); |
|
} |
|
|
void Pdp_true_nf(arg,rp) |
void Pdp_true_nf(arg,rp) |
NODE arg; |
NODE arg; |
LIST *rp; |
LIST *rp; |
|
|
P dn; |
P dn; |
int full; |
int full; |
|
|
|
do_weyl = 0; dp_fcoeffs = 0; |
asir_assert(ARG0(arg),O_LIST,"dp_true_nf"); |
asir_assert(ARG0(arg),O_LIST,"dp_true_nf"); |
asir_assert(ARG1(arg),O_DP,"dp_true_nf"); |
asir_assert(ARG1(arg),O_DP,"dp_true_nf"); |
asir_assert(ARG2(arg),O_VECT,"dp_true_nf"); |
asir_assert(ARG2(arg),O_VECT,"dp_true_nf"); |
|
|
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
} |
} |
|
|
void dp_nf(b,g,ps,full,rp) |
void Pdp_true_nf_marked(arg,rp) |
NODE b; |
NODE arg; |
DP g; |
LIST *rp; |
DP *ps; |
|
int full; |
|
DP *rp; |
|
{ |
{ |
DP u,p,d,s,t; |
NODE b,n; |
P dmy; |
DP *ps,*hps; |
NODE l; |
DP g; |
MP m,mr; |
DP nm; |
int i,n; |
Q cont; |
int *wb; |
P dn; |
int sugar,psugar; |
int full; |
|
|
if ( !g ) { |
do_weyl = 0; dp_fcoeffs = 0; |
*rp = 0; return; |
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,&cont,&dn); |
} |
} |
for ( n = 0, l = b; l; l = NEXT(l), n++ ); |
n = mknode(3,nm,cont,dn); |
wb = (int *)ALLOCA(n*sizeof(int)); |
MKLIST(*rp,n); |
for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) |
|
wb[i] = QTOS((Q)BDY(l)); |
|
sugar = g->sugar; |
|
for ( d = 0; g; ) { |
|
for ( u = 0, i = 0; i < n; i++ ) { |
|
if ( dp_redble(g,p = ps[wb[i]]) ) { |
|
dp_red(d,g,p,&t,&u,&dmy); |
|
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
|
sugar = MAX(sugar,psugar); |
|
if ( !u ) { |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; return; |
|
} |
|
d = t; |
|
break; |
|
} |
|
} |
|
if ( u ) |
|
g = u; |
|
else if ( !full ) { |
|
if ( g ) { |
|
MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t; |
|
} |
|
*rp = g; return; |
|
} else { |
|
m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c; |
|
NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td; |
|
addd(CO,d,t,&s); d = s; |
|
dp_rest(g,&t); g = t; |
|
} |
|
} |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; |
|
} |
} |
|
|
void dp_true_nf(b,g,ps,full,rp,dnp) |
DP *dp_true_nf_and_quotient_marked (NODE b,DP g,DP *ps,DP *hps,DP *rp,P *dnp); |
NODE b; |
|
DP g; |
void Pdp_true_nf_and_quotient_marked(arg,rp) |
DP *ps; |
NODE arg; |
int full; |
LIST *rp; |
DP *rp; |
|
P *dnp; |
|
{ |
{ |
DP u,p,d,s,t; |
NODE b,n; |
NODE l; |
DP *ps,*hps; |
MP m,mr; |
DP g; |
int i,n; |
DP nm; |
int *wb; |
VECT quo; |
int sugar,psugar; |
P dn; |
P dn,tdn,tdn1; |
int full; |
|
|
dn = (P)ONE; |
do_weyl = 0; dp_fcoeffs = 0; |
if ( !g ) { |
asir_assert(ARG0(arg),O_LIST,"dp_true_nf_and_quotient_marked"); |
*rp = 0; *dnp = dn; return; |
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); |
} |
} |
for ( n = 0, l = b; l; l = NEXT(l), n++ ); |
n = mknode(3,nm,dn,quo); |
wb = (int *)ALLOCA(n*sizeof(int)); |
MKLIST(*rp,n); |
for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) |
|
wb[i] = QTOS((Q)BDY(l)); |
|
sugar = g->sugar; |
|
for ( d = 0; g; ) { |
|
for ( u = 0, i = 0; i < n; i++ ) { |
|
if ( dp_redble(g,p = ps[wb[i]]) ) { |
|
dp_red(d,g,p,&t,&u,&tdn); |
|
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
|
sugar = MAX(sugar,psugar); |
|
if ( !u ) { |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; *dnp = dn; return; |
|
} else { |
|
d = t; |
|
mulp(CO,dn,tdn,&tdn1); dn = tdn1; |
|
} |
|
break; |
|
} |
|
} |
|
if ( u ) |
|
g = u; |
|
else if ( !full ) { |
|
if ( g ) { |
|
MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t; |
|
} |
|
*rp = g; *dnp = dn; return; |
|
} else { |
|
m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c; |
|
NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td; |
|
addd(CO,d,t,&s); d = s; |
|
dp_rest(g,&t); g = t; |
|
} |
|
} |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; *dnp = dn; |
|
} |
} |
|
|
#define HMAG(p) (p_mag(BDY(p)->c)) |
DP *dp_true_nf_and_quotient_marked_mod (NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp); |
|
|
void Pdp_nf_ptozp(arg,rp) |
void Pdp_true_nf_and_quotient_marked_mod(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
LIST *rp; |
{ |
{ |
NODE b; |
NODE b,n; |
|
DP *ps,*hps; |
DP g; |
DP g; |
DP *ps; |
DP nm; |
int full,multiple; |
VECT quo; |
|
P dn; |
|
int full,mod; |
|
|
asir_assert(ARG0(arg),O_LIST,"dp_nf_ptozp"); |
do_weyl = 0; dp_fcoeffs = 0; |
asir_assert(ARG1(arg),O_DP,"dp_nf_ptozp"); |
asir_assert(ARG0(arg),O_LIST,"dp_true_nf_and_quotient_marked_mod"); |
asir_assert(ARG2(arg),O_VECT,"dp_nf_ptozp"); |
asir_assert(ARG1(arg),O_DP,"dp_true_nf_and_quotient_marked_mod"); |
asir_assert(ARG3(arg),O_N,"dp_nf_ptozp"); |
asir_assert(ARG2(arg),O_VECT,"dp_true_nf_and_quotient_marked_mod"); |
asir_assert(ARG4(arg),O_N,"dp_nf_ptozp"); |
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)) ) { |
if ( !(g = (DP)ARG1(arg)) ) { |
*rp = 0; return; |
nm = 0; dn = (P)ONE; |
|
} else { |
|
b = BDY((LIST)ARG0(arg)); |
|
ps = (DP *)BDY((VECT)ARG2(arg)); |
|
hps = (DP *)BDY((VECT)ARG3(arg)); |
|
mod = QTOS((Q)ARG4(arg)); |
|
NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len; |
|
quo->body = (pointer *)dp_true_nf_and_quotient_marked_mod(b,g,ps,hps,mod,&nm,&dn); |
} |
} |
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); |
n = mknode(3,nm,dn,quo); |
full = (Q)ARG3(arg) ? 1 : 0; |
MKLIST(*rp,n); |
multiple = QTOS((Q)ARG4(arg)); |
|
dp_nf_ptozp(b,g,ps,full,multiple,rp); |
|
} |
} |
|
|
void dp_nf_ptozp(b,g,ps,full,multiple,rp) |
void Pdp_true_nf_marked_mod(arg,rp) |
NODE b; |
|
DP g; |
|
DP *ps; |
|
int full,multiple; |
|
DP *rp; |
|
{ |
|
DP u,p,d,s,t; |
|
P dmy; |
|
NODE l; |
|
MP m,mr; |
|
int i,n; |
|
int *wb; |
|
int hmag; |
|
int sugar,psugar; |
|
|
|
if ( !g ) { |
|
*rp = 0; return; |
|
} |
|
for ( n = 0, l = b; l; l = NEXT(l), n++ ); |
|
wb = (int *)ALLOCA(n*sizeof(int)); |
|
for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) |
|
wb[i] = QTOS((Q)BDY(l)); |
|
hmag = multiple*HMAG(g); |
|
sugar = g->sugar; |
|
for ( d = 0; g; ) { |
|
for ( u = 0, i = 0; i < n; i++ ) { |
|
if ( dp_redble(g,p = ps[wb[i]]) ) { |
|
dp_red(d,g,p,&t,&u,&dmy); |
|
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
|
sugar = MAX(sugar,psugar); |
|
if ( !u ) { |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; return; |
|
} |
|
d = t; |
|
break; |
|
} |
|
} |
|
if ( u ) { |
|
g = u; |
|
if ( d ) { |
|
if ( HMAG(d) > hmag ) { |
|
dp_ptozp2(d,g,&t,&u); d = t; g = u; |
|
hmag = multiple*HMAG(d); |
|
} |
|
} else { |
|
if ( HMAG(g) > hmag ) { |
|
dp_ptozp(g,&t); g = t; |
|
hmag = multiple*HMAG(g); |
|
} |
|
} |
|
} |
|
else if ( !full ) { |
|
if ( g ) { |
|
MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t; |
|
} |
|
*rp = g; return; |
|
} else { |
|
m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c; |
|
NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td; |
|
addd(CO,d,t,&s); d = s; |
|
dp_rest(g,&t); g = t; |
|
|
|
} |
|
} |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; |
|
} |
|
|
|
void Pdp_nf_demand(arg,rp) |
|
NODE arg; |
NODE arg; |
DP *rp; |
LIST *rp; |
{ |
{ |
DP g,u,p,d,s,t; |
NODE b,n; |
P dmy; |
DP *ps,*hps; |
NODE b,l; |
DP g; |
DP *hps; |
DP nm; |
MP m,mr; |
P dn; |
int i,n; |
int mod; |
int *wb; |
|
int full; |
|
char *fprefix; |
|
int sugar,psugar; |
|
|
|
asir_assert(ARG0(arg),O_LIST,"dp_nf_demand"); |
do_weyl = 0; dp_fcoeffs = 0; |
asir_assert(ARG1(arg),O_DP,"dp_nf_demand"); |
asir_assert(ARG0(arg),O_LIST,"dp_true_nf_marked_mod"); |
asir_assert(ARG2(arg),O_N,"dp_nf_demand"); |
asir_assert(ARG1(arg),O_DP,"dp_true_nf_marked_mod"); |
asir_assert(ARG3(arg),O_VECT,"dp_nf_demand"); |
asir_assert(ARG2(arg),O_VECT,"dp_true_nf_marked_mod"); |
asir_assert(ARG4(arg),O_STR,"dp_nf_demand"); |
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)) ) { |
if ( !(g = (DP)ARG1(arg)) ) { |
*rp = 0; return; |
nm = 0; dn = (P)ONE; |
|
} else { |
|
b = BDY((LIST)ARG0(arg)); |
|
ps = (DP *)BDY((VECT)ARG2(arg)); |
|
hps = (DP *)BDY((VECT)ARG3(arg)); |
|
mod = QTOS((Q)ARG4(arg)); |
|
dp_true_nf_marked_mod(b,g,ps,hps,mod,&nm,&dn); |
} |
} |
b = BDY((LIST)ARG0(arg)); full = (Q)ARG2(arg) ? 1 : 0; |
n = mknode(2,nm,dn); |
hps = (DP *)BDY((VECT)ARG3(arg)); fprefix = BDY((STRING)ARG4(arg)); |
MKLIST(*rp,n); |
for ( n = 0, l = b; l; l = NEXT(l), n++ ); |
|
wb = (int *)ALLOCA(n*sizeof(int)); |
|
for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) |
|
wb[i] = QTOS((Q)BDY(l)); |
|
sugar = g->sugar; |
|
for ( d = 0; g; ) { |
|
for ( u = 0, i = 0; i < n; i++ ) { |
|
if ( dp_redble(g,hps[wb[i]]) ) { |
|
FILE *fp; |
|
char fname[BUFSIZ]; |
|
|
|
sprintf(fname,"%s%d",fprefix,wb[i]); |
|
fprintf(stderr,"loading %s\n",fname); |
|
fp = fopen(fname,"r"); skipvl(fp); |
|
loadobj(fp,(Obj *)&p); fclose(fp); |
|
dp_red(d,g,p,&t,&u,&dmy); |
|
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
|
sugar = MAX(sugar,psugar); |
|
if ( !u ) { |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; return; |
|
} |
|
d = t; |
|
break; |
|
} |
|
} |
|
if ( u ) |
|
g = u; |
|
else if ( !full ) { |
|
if ( g ) { |
|
MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t; |
|
} |
|
*rp = g; return; |
|
} else { |
|
m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c; |
|
NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td; |
|
addd(CO,d,t,&s); d = s; |
|
dp_rest(g,&t); g = t; |
|
|
|
} |
|
} |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; |
|
} |
} |
|
|
void Pdp_nf_mod(arg,rp) |
void Pdp_weyl_nf_mod(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
{ |
{ |
|
|
DP g; |
DP g; |
DP *ps; |
DP *ps; |
int mod,full,ac; |
int mod,full,ac; |
|
NODE n,n0; |
|
|
ac = argc(arg); |
ac = argc(arg); |
asir_assert(ARG0(arg),O_LIST,"dp_nf_mod"); |
asir_assert(ARG0(arg),O_LIST,"dp_weyl_nf_mod"); |
asir_assert(ARG1(arg),O_DP,"dp_nf_mod"); |
asir_assert(ARG1(arg),O_DP,"dp_weyl_nf_mod"); |
asir_assert(ARG2(arg),O_VECT,"dp_nf_mod"); |
asir_assert(ARG2(arg),O_VECT,"dp_weyl_nf_mod"); |
asir_assert(ARG3(arg),O_N,"dp_nf_mod"); |
asir_assert(ARG3(arg),O_N,"dp_weyl_nf_mod"); |
asir_assert(ARG4(arg),O_N,"dp_nf_mod"); |
asir_assert(ARG4(arg),O_N,"dp_weyl_nf_mod"); |
if ( !(g = (DP)ARG1(arg)) ) { |
if ( !(g = (DP)ARG1(arg)) ) { |
*rp = 0; return; |
*rp = 0; return; |
} |
} |
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); |
b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); |
full = QTOS((Q)ARG3(arg)); mod = QTOS((Q)ARG4(arg)); |
full = QTOS((Q)ARG3(arg)); mod = QTOS((Q)ARG4(arg)); |
dp_nf_mod_qindex(b,g,ps,mod,full,rp); |
for ( n0 = n = 0; b; b = NEXT(b) ) { |
|
NEXTNODE(n0,n); |
|
BDY(n) = (pointer)QTOS((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(arg,rp) |
void Pdp_true_nf_mod(arg,rp) |
|
|
int mod,full; |
int mod,full; |
NODE n; |
NODE n; |
|
|
|
do_weyl = 0; |
asir_assert(ARG0(arg),O_LIST,"dp_nf_mod"); |
asir_assert(ARG0(arg),O_LIST,"dp_nf_mod"); |
asir_assert(ARG1(arg),O_DP,"dp_nf_mod"); |
asir_assert(ARG1(arg),O_DP,"dp_nf_mod"); |
asir_assert(ARG2(arg),O_VECT,"dp_nf_mod"); |
asir_assert(ARG2(arg),O_VECT,"dp_nf_mod"); |
|
|
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
} |
} |
|
|
void dp_nf_mod_qindex(b,g,ps,mod,full,rp) |
|
NODE b; |
|
DP g; |
|
DP *ps; |
|
int mod,full; |
|
DP *rp; |
|
{ |
|
DP u,p,d,s,t; |
|
P dmy; |
|
NODE l; |
|
MP m,mr; |
|
int sugar,psugar; |
|
|
|
if ( !g ) { |
|
*rp = 0; return; |
|
} |
|
sugar = g->sugar; |
|
for ( d = 0; g; ) { |
|
for ( u = 0, l = b; l; l = NEXT(l) ) { |
|
if ( dp_redble(g,p = ps[QTOS((Q)BDY(l))]) ) { |
|
dp_red_mod(d,g,p,mod,&t,&u,&dmy); |
|
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
|
sugar = MAX(sugar,psugar); |
|
if ( !u ) { |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; return; |
|
} |
|
d = t; |
|
break; |
|
} |
|
} |
|
if ( u ) |
|
g = u; |
|
else if ( !full ) { |
|
if ( g ) { |
|
MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t; |
|
} |
|
*rp = g; return; |
|
} else { |
|
m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c; |
|
NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td; |
|
addmd(CO,mod,d,t,&s); d = s; |
|
dp_rest(g,&t); g = t; |
|
} |
|
} |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; |
|
} |
|
|
|
void dp_nf_mod(b,g,ps,mod,full,rp) |
|
NODE b; |
|
DP g; |
|
DP *ps; |
|
int mod,full; |
|
DP *rp; |
|
{ |
|
DP u,p,d,s,t; |
|
P dmy; |
|
NODE l; |
|
MP m,mr; |
|
int sugar,psugar; |
|
|
|
if ( !g ) { |
|
*rp = 0; return; |
|
} |
|
sugar = g->sugar; |
|
for ( d = 0; g; ) { |
|
for ( u = 0, l = b; l; l = NEXT(l) ) { |
|
if ( dp_redble(g,p = ps[(int)BDY(l)]) ) { |
|
dp_red_mod(d,g,p,mod,&t,&u,&dmy); |
|
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
|
sugar = MAX(sugar,psugar); |
|
if ( !u ) { |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; return; |
|
} |
|
d = t; |
|
break; |
|
} |
|
} |
|
if ( u ) |
|
g = u; |
|
else if ( !full ) { |
|
if ( g ) { |
|
MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t; |
|
} |
|
*rp = g; return; |
|
} else { |
|
m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c; |
|
NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td; |
|
addmd(CO,mod,d,t,&s); d = s; |
|
dp_rest(g,&t); g = t; |
|
} |
|
} |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; |
|
} |
|
|
|
void dp_true_nf_mod(b,g,ps,mod,full,rp,dnp) |
|
NODE b; |
|
DP g; |
|
DP *ps; |
|
int mod,full; |
|
DP *rp; |
|
P *dnp; |
|
{ |
|
DP u,p,d,s,t; |
|
NODE l; |
|
MP m,mr; |
|
int i,n; |
|
int *wb; |
|
int sugar,psugar; |
|
P dn,tdn,tdn1; |
|
|
|
dn = (P)ONEM; |
|
if ( !g ) { |
|
*rp = 0; *dnp = dn; return; |
|
} |
|
for ( n = 0, l = b; l; l = NEXT(l), n++ ); |
|
wb = (int *)ALLOCA(n*sizeof(int)); |
|
for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) |
|
wb[i] = QTOS((Q)BDY(l)); |
|
sugar = g->sugar; |
|
for ( d = 0; g; ) { |
|
for ( u = 0, i = 0; i < n; i++ ) { |
|
if ( dp_redble(g,p = ps[wb[i]]) ) { |
|
dp_red_mod(d,g,p,mod,&t,&u,&tdn); |
|
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
|
sugar = MAX(sugar,psugar); |
|
if ( !u ) { |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; *dnp = dn; return; |
|
} else { |
|
d = t; |
|
mulmp(CO,mod,dn,tdn,&tdn1); dn = tdn1; |
|
} |
|
break; |
|
} |
|
} |
|
if ( u ) |
|
g = u; |
|
else if ( !full ) { |
|
if ( g ) { |
|
MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t; |
|
} |
|
*rp = g; *dnp = dn; return; |
|
} else { |
|
m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c; |
|
NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td; |
|
addmd(CO,mod,d,t,&s); d = s; |
|
dp_rest(g,&t); g = t; |
|
} |
|
} |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; *dnp = dn; |
|
} |
|
|
|
void Pdp_tdiv(arg,rp) |
void Pdp_tdiv(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
|
|
} |
} |
} |
} |
|
|
void qltozl(w,n,dvr) |
|
Q *w,*dvr; |
|
int n; |
|
{ |
|
N nm,dn; |
|
N g,l1,l2,l3; |
|
Q c,d; |
|
int i; |
|
struct oVECT v; |
|
|
|
for ( i = 0; i < n; i++ ) |
|
if ( w[i] && !INT(w[i]) ) |
|
break; |
|
if ( i == n ) { |
|
v.id = O_VECT; v.len = n; v.body = (pointer *)w; |
|
igcdv(&v,dvr); return; |
|
} |
|
c = w[0]; nm = NM(c); dn = INT(c) ? ONEN : DN(c); |
|
for ( i = 1; i < n; i++ ) { |
|
c = w[i]; l1 = INT(c) ? ONEN : DN(c); |
|
gcdn(nm,NM(c),&g); nm = g; |
|
gcdn(dn,l1,&l2); muln(dn,l1,&l3); divsn(l3,l2,&dn); |
|
} |
|
if ( UNIN(dn) ) |
|
NTOQ(nm,1,d); |
|
else |
|
NDTOQ(nm,dn,1,d); |
|
*dvr = d; |
|
} |
|
|
|
int comp_nm(a,b) |
|
Q *a,*b; |
|
{ |
|
return cmpn((*a)?NM(*a):0,(*b)?NM(*b):0); |
|
} |
|
|
|
void sortbynm(w,n) |
|
Q *w; |
|
int n; |
|
{ |
|
qsort(w,n,sizeof(Q),(int (*)(const void *,const void *))comp_nm); |
|
} |
|
|
|
void Pdp_redble(arg,rp) |
void Pdp_redble(arg,rp) |
NODE arg; |
NODE arg; |
Q *rp; |
Q *rp; |
|
|
P dmy; |
P dmy; |
NODE n; |
NODE n; |
|
|
|
do_weyl = 0; |
asir_assert(ARG0(arg),O_DP,"dp_red_mod"); |
asir_assert(ARG0(arg),O_DP,"dp_red_mod"); |
asir_assert(ARG1(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(ARG2(arg),O_DP,"dp_red_mod"); |
|
|
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
} |
} |
|
|
int dp_redble(p1,p2) |
void Pdp_subd(arg,rp) |
DP p1,p2; |
NODE arg; |
|
DP *rp; |
{ |
{ |
int i,n; |
DP p1,p2; |
DL d1,d2; |
|
|
|
d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
if ( d1->td < d2->td ) |
asir_assert(p1,O_DP,"dp_subd"); |
return 0; |
asir_assert(p2,O_DP,"dp_subd"); |
else { |
dp_subd(p1,p2,rp); |
for ( i = 0, n = p1->nv; i < n; i++ ) |
|
if ( d1->d[i] < d2->d[i] ) |
|
return 0; |
|
return 1; |
|
} |
|
} |
} |
|
|
void dp_red_mod(p0,p1,p2,mod,head,rest,dnp) |
void Pdp_symb_add(arg,rp) |
DP p0,p1,p2; |
NODE arg; |
int mod; |
DP *rp; |
DP *head,*rest; |
|
P *dnp; |
|
{ |
{ |
int i,n; |
DP p1,p2,r; |
DL d1,d2,d; |
NODE s0; |
MP m; |
MP mp0,mp; |
DP t,s,r,h; |
int nv; |
P c1,c2,g,u; |
|
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
NEWDL(d,n); d->td = d1->td - d2->td; |
asir_assert(p1,O_DP,"dp_symb_add"); |
for ( i = 0; i < n; i++ ) |
asir_assert(p2,O_DP,"dp_symb_add"); |
d->d[i] = d1->d[i]-d2->d[i]; |
if ( p1->nv != p2->nv ) |
c1 = (P)BDY(p1)->c; c2 = (P)BDY(p2)->c; |
error("dp_sumb_add : invalid input"); |
gcdprsmp(CO,mod,c1,c2,&g); |
nv = p1->nv; |
divsmp(CO,mod,c1,g,&u); c1 = u; divsmp(CO,mod,c2,g,&u); c2 = u; |
s0 = symb_merge(dp_dllist(p1),dp_dllist(p2),nv); |
if ( NUM(c2) ) { |
for ( mp0 = 0; s0; s0 = NEXT(s0) ) { |
divsmp(CO,mod,c1,c2,&u); c1 = u; c2 = (P)ONEM; |
NEXTMP(mp0,mp); mp->dl = (DL)BDY(s0); mp->c = (P)ONE; |
} |
} |
NEWMP(m); m->dl = d; chsgnmp(mod,(P)c1,&m->c); NEXT(m) = 0; |
NEXT(mp) = 0; |
MKDP(n,m,s); s->sugar = d->td; mulmd(CO,mod,p2,s,&t); |
MKDP(nv,mp0,r); r->sugar = MAX(p1->sugar,p2->sugar); |
if ( NUM(c2) ) { |
*rp = r; |
addmd(CO,mod,p1,t,&r); h = p0; |
|
} else { |
|
mulmdc(CO,mod,p1,c2,&s); addmd(CO,mod,s,t,&r); mulmdc(CO,mod,p0,c2,&h); |
|
} |
|
*head = h; *rest = r; *dnp = c2; |
|
} |
} |
|
|
void Pdp_subd(arg,rp) |
void Pdp_mul_trunc(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
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(arg,rp) |
|
NODE arg; |
|
DP *rp; |
|
{ |
DP p1,p2; |
DP p1,p2; |
|
|
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
asir_assert(p1,O_DP,"dp_subd"); |
asir_assert(p1,O_DP,"dp_quo"); |
asir_assert(p2,O_DP,"dp_subd"); |
asir_assert(p2,O_DP,"dp_quo"); |
dp_subd(p1,p2,rp); |
comm_quod(CO,p1,p2,rp); |
} |
} |
|
|
void dp_subd(p1,p2,rp) |
void Pdp_weyl_mul(arg,rp) |
DP p1,p2; |
NODE arg; |
DP *rp; |
DP *rp; |
{ |
{ |
int i,n; |
DP p1,p2; |
DL d1,d2,d; |
|
MP m; |
|
DP s; |
|
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
NEWDL(d,n); d->td = d1->td - d2->td; |
asir_assert(p1,O_DP,"dp_weyl_mul"); asir_assert(p2,O_DP,"dp_weyl_mul"); |
for ( i = 0; i < n; i++ ) |
do_weyl = 1; |
d->d[i] = d1->d[i]-d2->d[i]; |
muld(CO,p1,p2,rp); |
NEWMP(m); m->dl = d; m->c = (P)ONE; NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; |
do_weyl = 0; |
*rp = s; |
|
} |
} |
|
|
|
void Pdp_weyl_mul_mod(arg,rp) |
|
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,QTOS(m),p1,p2,rp); |
|
do_weyl = 0; |
|
} |
|
|
void Pdp_red(arg,rp) |
void Pdp_red(arg,rp) |
NODE arg; |
NODE arg; |
LIST *rp; |
LIST *rp; |
{ |
{ |
NODE n; |
NODE n; |
DP head,rest; |
DP head,rest,dmy1; |
P dmy; |
P dmy; |
|
|
|
do_weyl = 0; |
asir_assert(ARG0(arg),O_DP,"dp_red"); |
asir_assert(ARG0(arg),O_DP,"dp_red"); |
asir_assert(ARG1(arg),O_DP,"dp_red"); |
asir_assert(ARG1(arg),O_DP,"dp_red"); |
asir_assert(ARG2(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); |
dp_red((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),&head,&rest,&dmy,&dmy1); |
NEWNODE(n); BDY(n) = (pointer)head; |
NEWNODE(n); BDY(n) = (pointer)head; |
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)rest; |
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)rest; |
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
} |
} |
|
|
void dp_red(p0,p1,p2,head,rest,dnp) |
void Pdp_weyl_red(arg,rp) |
DP p0,p1,p2; |
NODE arg; |
DP *head,*rest; |
LIST *rp; |
P *dnp; |
|
{ |
{ |
int i,n; |
NODE n; |
DL d1,d2,d; |
DP head,rest,dmy1; |
MP m; |
P dmy; |
DP t,s,r,h; |
|
Q c,c1,c2; |
|
N gn,tn; |
|
P g,a; |
|
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
asir_assert(ARG0(arg),O_DP,"dp_weyl_red"); |
NEWDL(d,n); d->td = d1->td - d2->td; |
asir_assert(ARG1(arg),O_DP,"dp_weyl_red"); |
for ( i = 0; i < n; i++ ) |
asir_assert(ARG2(arg),O_DP,"dp_weyl_red"); |
d->d[i] = d1->d[i]-d2->d[i]; |
do_weyl = 1; |
c1 = (Q)BDY(p1)->c; c2 = (Q)BDY(p2)->c; |
dp_red((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),&head,&rest,&dmy,&dmy1); |
if ( dp_fcoeffs ) { |
do_weyl = 0; |
/* do nothing */ |
NEWNODE(n); BDY(n) = (pointer)head; |
} else if ( INT(c1) && INT(c2) ) { |
NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)rest; |
gcdn(NM(c1),NM(c2),&gn); |
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
if ( !UNIN(gn) ) { |
|
divsn(NM(c1),gn,&tn); NTOQ(tn,SGN(c1),c); c1 = c; |
|
divsn(NM(c2),gn,&tn); NTOQ(tn,SGN(c2),c); c2 = c; |
|
} |
|
} else { |
|
ezgcdpz(CO,(P)c1,(P)c2,&g); |
|
divsp(CO,(P)c1,g,&a); c1 = (Q)a; divsp(CO,(P)c2,g,&a); c2 = (Q)a; |
|
} |
|
NEWMP(m); m->dl = d; chsgnp((P)c1,&m->c); NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; |
|
muld(CO,p2,s,&t); muldc(CO,p1,(P)c2,&s); addd(CO,s,t,&r); |
|
muldc(CO,p0,(P)c2,&h); |
|
*head = h; *rest = r; *dnp = (P)c2; |
|
} |
} |
|
|
void Pdp_sp(arg,rp) |
void Pdp_sp(arg,rp) |
|
|
{ |
{ |
DP p1,p2; |
DP p1,p2; |
|
|
|
do_weyl = 0; |
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
asir_assert(p1,O_DP,"dp_sp"); asir_assert(p2,O_DP,"dp_sp"); |
asir_assert(p1,O_DP,"dp_sp"); asir_assert(p2,O_DP,"dp_sp"); |
dp_sp(p1,p2,rp); |
dp_sp(p1,p2,rp); |
} |
} |
|
|
void dp_sp(p1,p2,rp) |
void Pdp_weyl_sp(arg,rp) |
DP p1,p2; |
NODE arg; |
DP *rp; |
DP *rp; |
{ |
{ |
int i,n,td; |
DP p1,p2; |
int *w; |
|
DL d1,d2,d; |
|
MP m; |
|
DP t,s,u; |
|
Q c,c1,c2; |
|
N gn,tn; |
|
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
w = (int *)ALLOCA(n*sizeof(int)); |
asir_assert(p1,O_DP,"dp_weyl_sp"); asir_assert(p2,O_DP,"dp_sp"); |
for ( i = 0, td = 0; i < n; i++ ) { |
do_weyl = 1; |
w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; |
dp_sp(p1,p2,rp); |
} |
do_weyl = 0; |
|
|
NEWDL(d,n); d->td = td - d1->td; |
|
for ( i = 0; i < n; i++ ) |
|
d->d[i] = w[i] - d1->d[i]; |
|
#if 0 |
|
NEWMP(m); m->dl = d; divsp(CO,ONE,BDY(p1)->c,&m->c); NEXT(m) = 0; |
|
MKDP(n,m,s); muld(CO,p1,s,&t); |
|
|
|
NEWDL(d,n); d->td = td - d2->td; |
|
for ( i = 0; i < n; i++ ) |
|
d->d[i] = w[i] - d2->d[i]; |
|
NEWMP(m); m->dl = d; divsp(CO,ONE,BDY(p2)->c,&m->c); NEXT(m) = 0; |
|
MKDP(n,m,s); muld(CO,p2,s,&u); |
|
#endif |
|
c1 = (Q)BDY(p1)->c; c2 = (Q)BDY(p2)->c; |
|
if ( INT(c1) && INT(c2) ) { |
|
gcdn(NM(c1),NM(c2),&gn); |
|
if ( !UNIN(gn) ) { |
|
divsn(NM(c1),gn,&tn); NTOQ(tn,SGN(c1),c); c1 = c; |
|
divsn(NM(c2),gn,&tn); NTOQ(tn,SGN(c2),c); c2 = c; |
|
} |
|
} |
|
|
|
NEWMP(m); m->dl = d; m->c = (P)c2; NEXT(m) = 0; |
|
MKDP(n,m,s); s->sugar = d->td; muld(CO,p1,s,&t); |
|
|
|
NEWDL(d,n); d->td = td - d2->td; |
|
for ( i = 0; i < n; i++ ) |
|
d->d[i] = w[i] - d2->d[i]; |
|
NEWMP(m); m->dl = d; m->c = (P)c1; NEXT(m) = 0; |
|
MKDP(n,m,s); s->sugar = d->td; muld(CO,p2,s,&u); |
|
|
|
subd(CO,t,u,rp); |
|
} |
} |
|
|
void Pdp_sp_mod(arg,rp) |
void Pdp_sp_mod(arg,rp) |
|
|
DP p1,p2; |
DP p1,p2; |
int mod; |
int mod; |
|
|
|
do_weyl = 0; |
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
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(p1,O_DP,"dp_sp_mod"); asir_assert(p2,O_DP,"dp_sp_mod"); |
asir_assert(ARG2(arg),O_N,"dp_sp_mod"); |
asir_assert(ARG2(arg),O_N,"dp_sp_mod"); |
|
|
dp_sp_mod(p1,p2,mod,rp); |
dp_sp_mod(p1,p2,mod,rp); |
} |
} |
|
|
void dp_sp_mod(p1,p2,mod,rp) |
|
DP p1,p2; |
|
int mod; |
|
DP *rp; |
|
{ |
|
int i,n,td; |
|
int *w; |
|
DL d1,d2,d; |
|
MP m; |
|
DP t,s,u; |
|
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
|
w = (int *)ALLOCA(n*sizeof(int)); |
|
for ( i = 0, td = 0; i < n; i++ ) { |
|
w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; |
|
} |
|
NEWDL(d,n); d->td = td - d1->td; |
|
for ( i = 0; i < n; i++ ) |
|
d->d[i] = w[i] - d1->d[i]; |
|
NEWMP(m); m->dl = d; m->c = (P)BDY(p2)->c; NEXT(m) = 0; |
|
MKDP(n,m,s); s->sugar = d->td; mulmd(CO,mod,p1,s,&t); |
|
NEWDL(d,n); d->td = td - d2->td; |
|
for ( i = 0; i < n; i++ ) |
|
d->d[i] = w[i] - d2->d[i]; |
|
NEWMP(m); m->dl = d; m->c = (P)BDY(p1)->c; NEXT(m) = 0; |
|
MKDP(n,m,s); s->sugar = d->td; mulmd(CO,mod,p2,s,&u); |
|
submd(CO,mod,t,u,rp); |
|
} |
|
|
|
void Pdp_lcm(arg,rp) |
void Pdp_lcm(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
NEWDL(d,n); |
NEWDL(d,n); |
for ( i = 0, td = 0; i < n; i++ ) { |
for ( i = 0, td = 0; i < n; i++ ) { |
d->d[i] = MAX(d1->d[i],d2->d[i]); td += d->d[i]; |
d->d[i] = MAX(d1->d[i],d2->d[i]); td += MUL_WEIGHT(d->d[i],i); |
} |
} |
d->td = td; |
d->td = td; |
NEWMP(m); m->dl = d; m->c = (P)ONE; NEXT(m) = 0; |
NEWMP(m); m->dl = d; m->c = (P)ONE; NEXT(m) = 0; |
|
|
dp_hm(p,rp); |
dp_hm(p,rp); |
} |
} |
|
|
void dp_hm(p,rp) |
|
DP p; |
|
DP *rp; |
|
{ |
|
MP m,mr; |
|
|
|
if ( !p ) |
|
*rp = 0; |
|
else { |
|
m = BDY(p); |
|
NEWMP(mr); mr->dl = m->dl; mr->c = m->c; NEXT(mr) = 0; |
|
MKDP(p->nv,mr,*rp); (*rp)->sugar = mr->dl->td; /* XXX */ |
|
} |
|
} |
|
|
|
void Pdp_ht(arg,rp) |
void Pdp_ht(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
|
|
MP m,mr; |
MP m,mr; |
|
|
p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_ht"); |
p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_ht"); |
if ( !p ) |
dp_ht(p,rp); |
*rp = 0; |
|
else { |
|
m = BDY(p); |
|
NEWMP(mr); mr->dl = m->dl; mr->c = (P)ONE; NEXT(mr) = 0; |
|
MKDP(p->nv,mr,*rp); (*rp)->sugar = mr->dl->td; /* XXX */ |
|
} |
|
} |
} |
|
|
void Pdp_hc(arg,rp) |
void Pdp_hc(arg,rp) |
|
|
dp_rest((DP)ARG0(arg),rp); |
dp_rest((DP)ARG0(arg),rp); |
} |
} |
|
|
void dp_rest(p,rp) |
|
DP p,*rp; |
|
{ |
|
MP m; |
|
|
|
m = BDY(p); |
|
if ( !NEXT(m) ) |
|
*rp = 0; |
|
else { |
|
MKDP(p->nv,NEXT(m),*rp); |
|
if ( *rp ) |
|
(*rp)->sugar = p->sugar; |
|
} |
|
} |
|
|
|
void Pdp_td(arg,rp) |
void Pdp_td(arg,rp) |
NODE arg; |
NODE arg; |
Q *rp; |
Q *rp; |
|
|
STOQ(p->sugar,*rp); |
STOQ(p->sugar,*rp); |
} |
} |
|
|
|
void Pdp_initial_term(arg,rp) |
|
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(arg,rp) |
|
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(arg,rp) |
|
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 = QTOS(q); |
|
if (p->sugar < i) { |
|
p->sugar = i; |
|
} |
|
} |
|
*rp = 0; |
|
} |
|
|
void Pdp_cri1(arg,rp) |
void Pdp_cri1(arg,rp) |
NODE arg; |
NODE arg; |
Q *rp; |
Q *rp; |
|
|
} |
} |
} |
} |
|
|
DL lcm_of_DL(nv,dl1,dl2,dl) |
|
int nv; |
|
DL dl1,dl2; |
|
register DL dl; |
|
{ |
|
register int n, *d1, *d2, *d, td; |
|
|
|
if ( !dl ) NEWDL(dl,nv); |
|
d = dl->d, d1 = dl1->d, d2 = dl2->d; |
|
for ( td = 0, n = nv; --n >= 0; d1++, d2++, d++ ) |
|
td += (*d = *d1 > *d2 ? *d1 : *d2 ); |
|
dl->td = td; |
|
return dl; |
|
} |
|
|
|
int dl_equal(nv,dl1,dl2) |
|
int nv; |
|
DL dl1, dl2; |
|
{ |
|
register int *d1, *d2, n; |
|
|
|
if ( dl1->td != dl2->td ) return 0; |
|
for ( d1 = dl1->d, d2 = dl2->d, n = nv; --n >= 0; d1++, d2++ ) |
|
if ( *d1 != *d2 ) return 0; |
|
return 1; |
|
} |
|
|
|
void Pdp_nelim(arg,rp) |
void Pdp_nelim(arg,rp) |
NODE arg; |
NODE arg; |
Q *rp; |
Q *rp; |
|
|
dp_homo((DP)ARG0(arg),rp); |
dp_homo((DP)ARG0(arg),rp); |
} |
} |
|
|
void dp_homo(p,rp) |
void Pdp_dehomo(arg,rp) |
DP p; |
NODE arg; |
DP *rp; |
DP *rp; |
{ |
{ |
MP m,mr,mr0; |
asir_assert(ARG0(arg),O_DP,"dp_dehomo"); |
int i,n,nv,td; |
dp_dehomo((DP)ARG0(arg),rp); |
DL dl,dlh; |
} |
|
|
if ( !p ) |
void Pdp_gr_flags(arg,rp) |
|
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(arg,rp) |
|
NODE arg; |
|
Q *rp; |
|
{ |
|
Q q; |
|
int s; |
|
|
|
if ( arg ) { |
|
asir_assert(ARG0(arg),O_N,"dp_gr_print"); |
|
q = (Q)ARG0(arg); |
|
s = QTOS(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 ) { |
|
STOQ(1,q); |
|
} else if ( DP_PrintShort ) { |
|
STOQ(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; |
|
Q m; |
|
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 = (Q)value; |
|
if ( !m ) |
|
*modular = 0; |
|
else if ( PL(NM(m))>1 || (PL(NM(m)) == 1 |
|
&& BD(NM(m))[0] >= 0x80000000) ) |
|
error("parse_gr_option : too large modulus"); |
|
else |
|
*modular = QTOS(m); |
|
modular_is_set = 1; |
|
} 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; |
|
} |
|
|
|
void Pdp_gr_main(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
VL vl; |
|
Num homo; |
|
Q m; |
|
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 = (Q)ARG3(arg); |
|
if ( !m ) |
|
modular = 0; |
|
else if ( PL(NM(m))>1 || (PL(NM(m)) == 1 && BD(NM(m))[0] >= 0x80000000) ) |
|
error("dp_gr_main : too large modulus"); |
|
else |
|
modular = QTOS(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(arg,rp) |
|
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(arg,rp) |
|
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 = QTOS((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(arg,rp) |
|
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(arg,rp) |
|
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 = QTOS((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(arg,rp) |
|
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 = QTOS((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(arg,rp) |
|
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 = QTOS((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 Pnd_f4(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
int m,homo,retdp; |
|
Obj val; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 0; |
|
asir_assert(ARG0(arg),O_LIST,"nd_f4"); |
|
asir_assert(ARG1(arg),O_LIST,"nd_f4"); |
|
asir_assert(ARG2(arg),O_N,"nd_f4"); |
|
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
|
f = remove_zero_from_list(f); |
|
if ( !BDY(f) ) { |
|
*rp = f; return; |
|
} |
|
m = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
homo = retdp = 0; |
|
if ( get_opt("homo",&val) && val ) homo = 1; |
|
if ( get_opt("dp",&val) && val ) retdp = 1; |
|
nd_gr(f,v,m,homo,retdp,1,ord,rp); |
|
} |
|
|
|
void Pnd_gr(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
int m,homo,retdp; |
|
Obj val; |
|
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; |
|
} |
|
m = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
homo = retdp = 0; |
|
if ( get_opt("homo",&val) && val ) homo = 1; |
|
if ( get_opt("dp",&val) && val ) retdp = 1; |
|
nd_gr(f,v,m,homo,retdp,0,ord,rp); |
|
} |
|
|
|
void Pnd_gr_postproc(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
int m,do_check; |
|
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; |
|
} |
|
m = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
do_check = ARG4(arg) ? 1 : 0; |
|
nd_gr_postproc(f,v,m,ord,do_check,rp); |
|
} |
|
|
|
void Pnd_gr_recompute_trace(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v,tlist; |
|
int m; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 0; |
|
asir_assert(ARG0(arg),O_LIST,"nd_gr_recompute_trace"); |
|
asir_assert(ARG1(arg),O_LIST,"nd_gr_recompute_trace"); |
|
asir_assert(ARG2(arg),O_N,"nd_gr_recompute_trace"); |
|
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
|
m = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
tlist = (LIST)ARG4(arg); |
|
nd_gr_recompute_trace(f,v,m,ord,tlist,rp); |
|
} |
|
|
|
Obj nd_btog_one(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,int pos); |
|
Obj nd_btog(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist); |
|
|
|
void Pnd_btog(arg,rp) |
|
NODE arg; |
|
Obj *rp; |
|
{ |
|
LIST f,v,tlist; |
|
int m,ac,pos; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 0; |
|
asir_assert(ARG0(arg),O_LIST,"nd_btog"); |
|
asir_assert(ARG1(arg),O_LIST,"nd_btog"); |
|
asir_assert(ARG2(arg),O_N,"nd_btog"); |
|
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
|
m = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
tlist = (LIST)ARG4(arg); |
|
if ( (ac = argc(arg)) == 6 ) { |
|
asir_assert(ARG5(arg),O_N,"nd_btog"); |
|
pos = QTOS((Q)ARG5(arg)); |
|
*rp = nd_btog_one(f,v,m,ord,tlist,pos); |
|
} else if ( ac == 5 ) |
|
*rp = nd_btog(f,v,m,ord,tlist); |
|
else |
|
error("nd_btog : argument mismatch"); |
|
} |
|
|
|
void Pnd_weyl_gr_postproc(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
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 = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
do_check = ARG4(arg) ? 1 : 0; |
|
nd_gr_postproc(f,v,m,ord,do_check,rp); |
|
do_weyl = 0; |
|
} |
|
|
|
void Pnd_gr_trace(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
int m,homo; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 0; |
|
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 = QTOS((Q)ARG2(arg)); |
|
m = QTOS((Q)ARG3(arg)); |
|
create_order_spec(0,ARG4(arg),&ord); |
|
nd_gr_trace(f,v,m,homo,0,ord,rp); |
|
} |
|
|
|
void Pnd_f4_trace(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
int m,homo; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 0; |
|
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 = QTOS((Q)ARG2(arg)); |
|
m = QTOS((Q)ARG3(arg)); |
|
create_order_spec(0,ARG4(arg),&ord); |
|
nd_gr_trace(f,v,m,homo,1,ord,rp); |
|
} |
|
|
|
void Pnd_weyl_gr(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
int m,homo,retdp; |
|
Obj val; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 1; |
|
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 = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
homo = retdp = 0; |
|
if ( get_opt("homo",&val) && val ) homo = 1; |
|
if ( get_opt("dp",&val) && val ) retdp = 1; |
|
nd_gr(f,v,m,homo,retdp,0,ord,rp); |
|
do_weyl = 0; |
|
} |
|
|
|
void Pnd_weyl_gr_trace(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
int m,homo; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 1; |
|
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 = QTOS((Q)ARG2(arg)); |
|
m = QTOS((Q)ARG3(arg)); |
|
create_order_spec(0,ARG4(arg),&ord); |
|
nd_gr_trace(f,v,m,homo,0,ord,rp); |
|
do_weyl = 0; |
|
} |
|
|
|
void Pnd_nf(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,QTOS((Q)ARG4(arg)),ord,rp); |
|
} |
|
|
|
void Pnd_weyl_nf(NODE arg,Obj *rp) |
|
{ |
|
Obj f; |
|
LIST g,v; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 1; |
|
asir_assert(ARG1(arg),O_LIST,"nd_weyl_nf"); |
|
asir_assert(ARG2(arg),O_LIST,"nd_weyl_nf"); |
|
asir_assert(ARG4(arg),O_N,"nd_weyl_nf"); |
|
f = (Obj)ARG0(arg); |
|
g = (LIST)ARG1(arg); g = remove_zero_from_list(g); |
|
if ( !BDY(g) ) { |
|
*rp = f; return; |
|
} |
|
v = (LIST)ARG2(arg); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
nd_nf_p(f,g,v,QTOS((Q)ARG4(arg)),ord,rp); |
|
} |
|
|
|
/* for Weyl algebra */ |
|
|
|
void Pdp_weyl_gr_main(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
Num homo; |
|
Q m; |
|
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 = (Q)ARG3(arg); |
|
if ( !m ) |
|
modular = 0; |
|
else if ( PL(NM(m))>1 || (PL(NM(m)) == 1 && BD(NM(m))[0] >= 0x80000000) ) |
|
error("dp_weyl_gr_main : too large modulus"); |
|
else |
|
modular = QTOS(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(arg,rp) |
|
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(arg,rp) |
|
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(arg,rp) |
|
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 = QTOS((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(arg,rp) |
|
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 = QTOS((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; |
|
|
|
void Pdp_set_weight(arg,rp) |
|
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; |
*rp = 0; |
*rp = 0; |
else { |
} else { |
n = p->nv; nv = n + 1; |
if ( OID(ARG0(arg)) != O_VECT && OID(ARG0(arg)) != O_LIST ) |
m = BDY(p); td = sugard(m); |
error("dp_set_weight : invalid argument"); |
for ( mr0 = 0; m; m = NEXT(m) ) { |
if ( OID(ARG0(arg)) == O_VECT ) |
NEXTMP(mr0,mr); mr->c = m->c; |
v = (VECT)ARG0(arg); |
dl = m->dl; |
else { |
mr->dl = dlh = (DL)MALLOC_ATOMIC((nv+1)*sizeof(int)); |
node = (NODE)BDY((LIST)ARG0(arg)); |
dlh->td = td; |
n = length(node); |
for ( i = 0; i < n; i++ ) |
MKVECT(v,n); |
dlh->d[i] = dl->d[i]; |
for ( i = 0; i < n; i++, node = NEXT(node) ) |
dlh->d[n] = td - dl->td; |
BDY(v)[i] = BDY(node); |
} |
} |
NEXT(mr) = 0; MKDP(nv,mr0,*rp); (*rp)->sugar = p->sugar; |
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] = QTOS((Q)v->body[i]); |
|
*rp = v; |
} |
} |
} |
} |
|
|
void Pdp_dehomo(arg,rp) |
VECT current_module_weight_vector_obj; |
|
int *current_module_weight_vector; |
|
|
|
void Pdp_set_module_weight(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
VECT *rp; |
{ |
{ |
asir_assert(ARG0(arg),O_DP,"dp_dehomo"); |
VECT v; |
dp_dehomo((DP)ARG0(arg),rp); |
int i,n; |
|
NODE node; |
|
|
|
if ( !arg ) |
|
*rp = current_module_weight_vector_obj; |
|
else if ( !ARG0(arg) ) { |
|
current_module_weight_vector_obj = 0; |
|
current_module_weight_vector = 0; |
|
*rp = 0; |
|
} else { |
|
if ( OID(ARG0(arg)) != O_VECT && OID(ARG0(arg)) != O_LIST ) |
|
error("dp_module_set_weight : invalid argument"); |
|
if ( OID(ARG0(arg)) == O_VECT ) |
|
v = (VECT)ARG0(arg); |
|
else { |
|
node = (NODE)BDY((LIST)ARG0(arg)); |
|
n = length(node); |
|
MKVECT(v,n); |
|
for ( i = 0; i < n; i++, node = NEXT(node) ) |
|
BDY(v)[i] = BDY(node); |
|
} |
|
current_module_weight_vector_obj = v; |
|
n = v->len; |
|
current_module_weight_vector = (int *)CALLOC(n,sizeof(int)); |
|
for ( i = 0; i < n; i++ ) |
|
current_module_weight_vector[i] = QTOS((Q)v->body[i]); |
|
*rp = v; |
|
} |
} |
} |
|
|
void dp_dehomo(p,rp) |
Obj current_top_weight; |
DP p; |
extern Obj nd_top_weight; |
DP *rp; |
|
|
void Pdp_set_top_weight(NODE arg,Obj *rp) |
{ |
{ |
MP m,mr,mr0; |
VECT v; |
int i,n,nv; |
MAT m; |
DL dl,dlh; |
Obj obj; |
|
int i,j,n,id,row,col; |
|
Q *mi; |
|
NODE node; |
|
|
if ( !p ) |
if ( !arg ) |
|
*rp = current_top_weight; |
|
else if ( !ARG0(arg) ) { |
|
nd_top_weight = 0; |
|
current_top_weight = 0; |
*rp = 0; |
*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 = v; |
|
} else |
|
obj = ARG0(arg); |
|
if ( OID(obj) == O_VECT ) { |
|
v = (VECT)obj; |
|
for ( i = 0; i < v->len; i++ ) |
|
if ( !INT(BDY(v)[i]) || (BDY(v)[i] && SGN((Q)BDY(v)[i]) < 0) ) |
|
error("dp_set_top_weight : each element must be a non-negative integer"); |
|
} else { |
|
m = (MAT)obj; row = m->row; col = m->col; |
|
for ( i = 0; i < row; i++ ) |
|
for ( j = 0, mi = (Q *)BDY(m)[i]; j < col; j++ ) |
|
if ( !INT(mi[j]) || (mi[j] && SGN((Q)mi[j]) < 0) ) |
|
error("dp_set_top_weight : each element must be a non-negative integer"); |
|
} |
|
current_top_weight = obj; |
|
nd_top_weight = obj; |
|
*rp = current_top_weight; |
|
} |
|
} |
|
|
|
LIST get_denomlist(); |
|
|
|
void Pdp_get_denomlist(LIST *rp) |
|
{ |
|
*rp = get_denomlist(); |
|
} |
|
|
|
static VECT current_weyl_weight_vector_obj; |
|
int *current_weyl_weight_vector; |
|
|
|
void Pdp_weyl_set_weight(arg,rp) |
|
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] = QTOS((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 { |
else { |
n = p->nv; nv = n - 1; |
t = BDY((LIST)ARG1(arg)); |
m = BDY(p); |
nv = length(t); |
for ( mr0 = 0; m; m = NEXT(m) ) { |
v = (P)MALLOC(nv*sizeof(P)); |
NEXTMP(mr0,mr); mr->c = m->c; |
for ( vl0 = 0, i = 0; t; t = NEXT(t), i++ ) { |
dlh = m->dl; |
NEXTVL(vl0,vl); VR(vl) = VR((P)BDY(t)); |
mr->dl = dl = (DL)MALLOC_ATOMIC((nv+1)*sizeof(int)); |
MKV(VR(vl),v[i]); |
dl->td = dlh->td - dlh->d[nv]; |
|
for ( i = 0; i < nv; i++ ) |
|
dl->d[i] = dlh->d[i]; |
|
} |
} |
NEXT(mr) = 0; MKDP(nv,mr0,*rp); (*rp)->sugar = p->sugar; |
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); |
} |
} |
} |
} |
|
|
int dp_nt(p) |
void Pdp_mono_reduce(NODE arg,LIST *rp) |
DP p; |
|
{ |
{ |
int i; |
NODE t,t0,t1,r0,r; |
MP m; |
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); |
|
} |
|
|
|
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 ) |
if ( !p ) |
return 0; |
return 0; |
|
else if ( NUM(p) ) |
|
return NID((Num)p); |
else { |
else { |
for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ ); |
type = 0; |
return i; |
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 = QTOS((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; |
|
} |
|
|
|
void Pdpv_ht(NODE arg,LIST *rp) |
|
{ |
|
NODE n; |
|
DP ht; |
|
int pos; |
|
DPV p; |
|
Q 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); |
|
STOQ(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; |
|
Q 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); |
|
STOQ(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; |
|
Q q; |
|
|
|
asir_assert(ARG0(arg),O_DPV,"dpv_hc"); |
|
p = (DPV)ARG0(arg); |
|
pos = dpv_hp(p); |
|
if ( pos < 0 ) |
|
hc = 0; |
|
else |
|
hc = BDY(BDY(p)[pos])->c; |
|
STOQ(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; |
|
} |
|
} |
|
|
|
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; |
} |
} |