=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/dp.c,v retrieving revision 1.1.1.1 retrieving revision 1.110 diff -u -p -r1.1.1.1 -r1.110 --- OpenXM_contrib2/asir2000/builtin/dp.c 1999/12/03 07:39:07 1.1.1.1 +++ OpenXM_contrib2/asir2000/builtin/dp.c 2020/10/04 03:14:07 1.110 @@ -1,1770 +1,3608 @@ -/* $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 1.109 2018/07/28 00:45:54 noro Exp $ +*/ #include "ca.h" #include "base.h" #include "parse.h" extern int dp_fcoeffs; +extern int dp_nelim; +extern int dp_order_pair_length; +extern struct order_pair *dp_order_pair; +extern struct order_spec *dp_current_spec; +extern struct modorder_spec *dp_current_modspec; +extern int nd_rref2; -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_sp(), Pdp_hm(), Pdp_ht(), Pdp_hc(), Pdp_rest(), Pdp_td(), Pdp_sugar(); +void Pdp_set_sugar(); void Pdp_cri1(),Pdp_cri2(),Pdp_subd(),Pdp_mod(),Pdp_red_mod(),Pdp_tdiv(); void Pdp_prim(),Pdp_red_coef(),Pdp_mag(),Pdp_set_kara(),Pdp_rat(); -void Pdp_nf(),Pdp_true_nf(),Pdp_nf_ptozp(); +void Pdp_nf(),Pdp_true_nf(),Pdp_true_nf_marked(),Pdp_true_nf_marked_mod(); + +void Pdp_true_nf_and_quotient(),Pdp_true_nf_and_quotient_mod(); +void Pdp_true_nf_and_quotient_marked(),Pdp_true_nf_and_quotient_marked_mod(); + void Pdp_nf_mod(),Pdp_true_nf_mod(); void Pdp_criB(),Pdp_nelim(); -void Pdp_minp(),Pdp_nf_demand(),Pdp_sp_mod(); +void Pdp_minp(),Pdp_sp_mod(); 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_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_mbase(),Pdp_lnf_mod(),Pdp_nf_tab_mod(),Pdp_mdtod(), Pdp_nf_tab_f(); +void Pdp_vtoe(), Pdp_etov(), Pdp_dtov(), Pdp_idiv(), Pdp_sep(); +void Pdp_cont(); +void Pdp_gr_checklist(); +void Pdp_ltod(),Pdpv_ord(),Pdpv_ht(),Pdpv_hm(),Pdpv_hc(); +void Pdpm_ltod(),Pdpm_dtol(),Pdpm_ord(),Pdpm_nf(),Pdpm_weyl_nf(),Pdpm_sp(),Pdpm_weyl_sp(); +void Pdpm_hm(),Pdpm_ht(),Pdpm_hc(); +void Pdp_weyl_red(); +void Pdp_weyl_sp(); + +void Pdp_weyl_nf(),Pdp_weyl_nf_mod(); +void Pdp_weyl_true_nf_and_quotient(),Pdp_weyl_true_nf_and_quotient_mod(); +void Pdp_weyl_true_nf_and_quotient_marked(),Pdp_weyl_true_nf_and_quotient_marked_mod(); + +void Pdp_weyl_gr_main(),Pdp_weyl_gr_mod_main(),Pdp_weyl_gr_f_main(); +void Pdp_weyl_f4_main(),Pdp_weyl_f4_mod_main(),Pdp_weyl_f4_f_main(); +void Pdp_weyl_mul(),Pdp_weyl_mul_mod(),Pdp_weyl_act(); +void Pdp_weyl_set_weight(); +void Pdp_set_weight(),Pdp_set_top_weight(),Pdp_set_module_weight(); +void Pdp_nf_f(),Pdp_weyl_nf_f(); +void Pdpm_nf_f(),Pdpm_weyl_nf_f(); +void Pdp_lnf_f(); +void Pnd_gr(),Pnd_gr_trace(),Pnd_f4(),Pnd_f4_trace(); +void Pnd_gr_postproc(), Pnd_weyl_gr_postproc(); +void Pnd_gr_recompute_trace(), Pnd_btog(); +void Pnd_weyl_gr(),Pnd_weyl_gr_trace(); +void Pnd_nf(),Pnd_weyl_nf(); +void Pdp_initial_term(); +void Pdp_order(); +void Pdp_inv_or_split(); +void Pdp_compute_last_t(); +void Pdp_compute_last_w(); +void Pdp_compute_essential_df(); +void Pdp_get_denomlist(); +void Pdp_symb_add(); +void Pdp_mono_raddec(); +void Pdp_mono_reduce(); +void Pdp_rref2(),Psumi_updatepairs(),Psumi_symbolic(); + +LIST dp_initial_term(); +LIST dp_order(); +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); +void dtodpm(DP d,int pos,DPM *dp); +void dpm_nf_z(NODE b,DPM g,DPM *ps,int full,int multiple,DPM *rp); +void dpm_nf_f(NODE b,DPM g,DPM *ps,int full,DPM *rp); +void weyl_actd(VL vl,DP p1,DP p2,DP *pr); +void dpm_sp(DPM p1,DPM p2,DPM *rp); +void Psetmod_ff(); +int get_opt(char *key0,Obj *r); +void initdpm(struct order_spec *spec,int type); +void dpm_hm(DPM p,DPM *rp); +void dpm_ht(DPM p,DPM *rp); + struct ftab dp_tab[] = { - {"dp_ord",Pdp_ord,-1}, - {"dp_ptod",Pdp_ptod,2}, - {"dp_dtop",Pdp_dtop,2}, - {"dp_ptozp",Pdp_ptozp,1}, - {"dp_ptozp2",Pdp_ptozp2,2}, - {"dp_prim",Pdp_prim,1}, - {"dp_redble",Pdp_redble,2}, - {"dp_subd",Pdp_subd,2}, - {"dp_red",Pdp_red,3}, - {"dp_red_mod",Pdp_red_mod,4}, - {"dp_sp",Pdp_sp,2}, - {"dp_sp_mod",Pdp_sp_mod,3}, - {"dp_lcm",Pdp_lcm,2}, - {"dp_hm",Pdp_hm,1}, - {"dp_ht",Pdp_ht,1}, - {"dp_hc",Pdp_hc,1}, - {"dp_rest",Pdp_rest,1}, - {"dp_td",Pdp_td,1}, - {"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_true_nf",Pdp_true_nf,4}, - {"dp_nf_ptozp",Pdp_nf_ptozp,5}, - {"dp_nf_demand",Pdp_nf_demand,5}, - {"dp_nf_mod",Pdp_nf_mod,5}, - {"dp_true_nf_mod",Pdp_true_nf_mod,5}, - {"dp_homo",Pdp_homo,1}, - {"dp_dehomo",Pdp_dehomo,1}, - {"dp_gr_main",Pdp_gr_main,5}, -/* {"dp_gr_hm_main",Pdp_gr_hm_main,5}, */ -/* {"dp_gr_d_main",Pdp_gr_d_main,6}, */ - {"dp_gr_mod_main",Pdp_gr_mod_main,5}, - {"dp_f4_main",Pdp_f4_main,3}, - {"dp_f4_mod_main",Pdp_f4_mod_main,4}, - {"dp_gr_flags",Pdp_gr_flags,-1}, - {"dp_gr_print",Pdp_gr_print,-1}, - {0,0,0}, + /* content reduction */ + {"dp_ptozp",Pdp_ptozp,1}, + {"dp_ptozp2",Pdp_ptozp2,2}, + {"dp_prim",Pdp_prim,1}, + {"dp_red_coef",Pdp_red_coef,2}, + {"dp_cont",Pdp_cont,1}, + +/* polynomial ring */ + /* special operations */ + {"dp_mul_trunc",Pdp_mul_trunc,3}, + {"dp_quo",Pdp_quo,2}, + + /* s-poly */ + {"dp_sp",Pdp_sp,2}, + {"dp_sp_mod",Pdp_sp_mod,3}, + + /* m-reduction */ + {"dp_red",Pdp_red,3}, + {"dp_red_mod",Pdp_red_mod,4}, + + /* normal form */ + {"dp_nf",Pdp_nf,4}, + {"dp_nf_mod",Pdp_nf_mod,5}, + {"dp_nf_f",Pdp_nf_f,4}, + {"dpm_nf_f",Pdpm_nf_f,4}, + {"dpm_weyl_nf_f",Pdpm_weyl_nf_f,4}, + {"dpm_nf",Pdpm_nf,4}, + {"dpm_sp",Pdpm_sp,2}, + {"dpm_weyl_sp",Pdpm_weyl_sp,2}, + + {"dp_true_nf",Pdp_true_nf,4}, + {"dp_true_nf_mod",Pdp_true_nf_mod,5}, + {"dp_true_nf_marked",Pdp_true_nf_marked,4}, + {"dp_true_nf_marked_mod",Pdp_true_nf_marked_mod,5}, + + {"dp_true_nf_and_quotient",Pdp_true_nf_and_quotient,3}, + {"dp_true_nf_and_quotient_mod",Pdp_true_nf_and_quotient_mod,4}, + {"dp_true_nf_and_quotient_marked",Pdp_true_nf_and_quotient_marked,4}, + {"dp_true_nf_and_quotient_marked_mod",Pdp_true_nf_and_quotient_marked_mod,5}, + + {"dp_lnf_mod",Pdp_lnf_mod,3}, + {"dp_nf_tab_f",Pdp_nf_tab_f,2}, + {"dp_nf_tab_mod",Pdp_nf_tab_mod,3}, + {"dp_lnf_f",Pdp_lnf_f,2}, + + /* Buchberger algorithm */ + {"dp_gr_main",Pdp_gr_main,-5}, + {"dp_interreduce",Pdp_interreduce,3}, + {"dp_gr_mod_main",Pdp_gr_mod_main,5}, + {"dp_gr_f_main",Pdp_gr_f_main,4}, + {"dp_gr_checklist",Pdp_gr_checklist,2}, + {"nd_f4",Pnd_f4,-4}, + {"nd_gr",Pnd_gr,-4}, + {"nd_gr_trace",Pnd_gr_trace,-5}, + {"nd_f4_trace",Pnd_f4_trace,-5}, + {"nd_gr_postproc",Pnd_gr_postproc,5}, + {"nd_gr_recompute_trace",Pnd_gr_recompute_trace,5}, + {"nd_btog",Pnd_btog,-6}, + {"nd_weyl_gr_postproc",Pnd_weyl_gr_postproc,5}, + {"nd_weyl_gr",Pnd_weyl_gr,-4}, + {"nd_weyl_gr_trace",Pnd_weyl_gr_trace,-5}, + {"nd_nf",Pnd_nf,5}, + {"nd_weyl_nf",Pnd_weyl_nf,5}, + + /* F4 algorithm */ + {"dp_f4_main",Pdp_f4_main,3}, + {"dp_f4_mod_main",Pdp_f4_mod_main,4}, + +/* weyl algebra */ + /* multiplication */ + {"dp_weyl_mul",Pdp_weyl_mul,2}, + {"dp_weyl_mul_mod",Pdp_weyl_mul_mod,3}, + {"dp_weyl_act",Pdp_weyl_act,2}, + + /* s-poly */ + {"dp_weyl_sp",Pdp_weyl_sp,2}, + + /* m-reduction */ + {"dp_weyl_red",Pdp_weyl_red,3}, + + /* normal form */ + {"dp_weyl_nf",Pdp_weyl_nf,4}, + {"dpm_weyl_nf",Pdpm_weyl_nf,4}, + {"dp_weyl_nf_mod",Pdp_weyl_nf_mod,5}, + {"dp_weyl_nf_f",Pdp_weyl_nf_f,4}, + + {"dp_weyl_true_nf_and_quotient",Pdp_weyl_true_nf_and_quotient,3}, + {"dp_weyl_true_nf_and_quotient_mod",Pdp_weyl_true_nf_and_quotient_mod,4}, + {"dp_weyl_true_nf_and_quotient_marked",Pdp_weyl_true_nf_and_quotient_marked,4}, + {"dp_weyl_true_nf_and_quotient_marked_mod",Pdp_weyl_true_nf_and_quotient_marked_mod,5}, + + + /* Buchberger algorithm */ + {"dp_weyl_gr_main",Pdp_weyl_gr_main,-5}, + {"dp_weyl_gr_mod_main",Pdp_weyl_gr_mod_main,5}, + {"dp_weyl_gr_f_main",Pdp_weyl_gr_f_main,4}, + + /* F4 algorithm */ + {"dp_weyl_f4_main",Pdp_weyl_f4_main,3}, + {"dp_weyl_f4_mod_main",Pdp_weyl_f4_mod_main,4}, + + /* 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}, }; -extern int dp_nelim; -extern int dp_order_pair_length; -extern struct order_pair *dp_order_pair; -extern struct order_spec dp_current_spec; +struct ftab dp_supp_tab[] = { + /* setting flags */ + {"dp_sort",Pdp_sort,1}, + {"dp_ord",Pdp_ord,-1}, + {"dpm_ord",Pdpm_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_print",Pdp_gr_print,-1}, -void Pdp_ord(arg,rp) -NODE arg; -Obj *rp; + /* converters */ + {"homogenize",Phomogenize,3}, + {"dp_ptod",Pdp_ptod,-2}, + {"dp_dtop",Pdp_dtop,2}, + {"dp_homo",Pdp_homo,1}, + {"dp_dehomo",Pdp_dehomo,1}, + {"dp_etov",Pdp_etov,1}, + {"dp_vtoe",Pdp_vtoe,1}, + {"dp_dtov",Pdp_dtov,1}, + {"dp_mdtod",Pdp_mdtod,1}, + {"dp_mod",Pdp_mod,3}, + {"dp_rat",Pdp_rat,1}, + {"dp_ltod",Pdp_ltod,-2}, + + {"dpm_ltod",Pdpm_ltod,2}, + {"dpm_dtol",Pdpm_dtol,3}, + + /* criteria */ + {"dp_cri1",Pdp_cri1,2}, + {"dp_cri2",Pdp_cri2,2}, + {"dp_criB",Pdp_criB,3}, + + /* simple operation */ + {"dp_subd",Pdp_subd,2}, + {"dp_lcm",Pdp_lcm,2}, + {"dp_hm",Pdp_hm,1}, + {"dp_ht",Pdp_ht,1}, + {"dp_hc",Pdp_hc,1}, + {"dpv_hm",Pdpv_hm,1}, + {"dpv_ht",Pdpv_ht,1}, + {"dpv_hc",Pdpv_hc,1}, + {"dpm_hm",Pdpm_hm,1}, + {"dpm_ht",Pdpm_ht,1}, + {"dpm_hc",Pdpm_hc,1}, + {"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}, + + {"dp_rref2",Pdp_rref2,2}, + {"sumi_updatepairs",Psumi_updatepairs,3}, + {"sumi_symbolic",Psumi_symbolic,5}, + + {0,0,0} +}; + +NODE compute_last_w(NODE g,NODE gh,int n,int **v,int row1,int **m1,int row2,int **m2); +Q compute_last_t(NODE g,NODE gh,Q t,VECT w1,VECT w2,NODE *homo,VECT *wp); + +void Pdp_compute_last_t(NODE arg,LIST *rp) { - struct order_spec spec; + NODE g,gh,homo,n; + LIST hlist; + VECT v1,v2,w; + Q t; - if ( !arg ) - *rp = dp_current_spec.obj; - else if ( !create_order_spec((Obj)ARG0(arg),&spec) ) - error("dp_ord : invalid order specification"); - else { - initd(&spec); *rp = spec.obj; - } + 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); } -int create_order_spec(obj,spec) -Obj obj; -struct order_spec *spec; +void Pdp_compute_last_w(NODE arg,LIST *rp) { - int i,j,n,s,row,col; - struct order_pair *l; - NODE node,t,tn; - MAT m; - pointer **b; - int **w; + 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; - if ( !obj || NUM(obj) ) { - spec->id = 0; spec->obj = obj; - spec->ord.simple = QTOS((Q)obj); - return 1; - } else if ( OID(obj) == O_LIST ) { - node = BDY((LIST)obj); - for ( n = 0, t = node; t; t = NEXT(t), n++ ); - l = (struct order_pair *)MALLOC_ATOMIC(n*sizeof(struct order_pair)); - for ( i = 0, t = node, s = 0; i < n; t = NEXT(t), i++ ) { - tn = BDY((LIST)BDY(t)); l[i].order = QTOS((Q)BDY(tn)); - tn = NEXT(tn); l[i].length = QTOS((Q)BDY(tn)); - s += l[i].length; - } - spec->id = 1; spec->obj = obj; - 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; + 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); + } } -void homogenize_order(old,n,new) -struct order_spec *old,*new; -int n; +NODE compute_essential_df(DP *g,DP *gh,int n); + +void Pdp_compute_essential_df(NODE arg,LIST *rp) { - struct order_pair *l; - int length,nv,row,i,j; - int **newm,**oldm; + VECT g,gh; + NODE r; - switch ( old->id ) { - case 0: - switch ( old->ord.simple ) { - case 0: - new->id = 0; new->ord.simple = 0; break; - case 1: - l = (struct order_pair *) - MALLOC_ATOMIC(2*sizeof(struct order_pair)); - l[0].length = n; l[0].order = 1; - l[1].length = 1; l[1].order = 2; - new->id = 1; - 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"); - } + 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_ptod(arg,rp) -NODE arg; -DP *rp; +void Pdp_inv_or_split(NODE arg,Obj *rp) { - NODE n; - VL vl,tvl; + NODE gb,newgb; + DP f,inv; + struct order_spec *spec; + LIST list; - asir_assert(ARG0(arg),O_P,"dp_ptod"); - asir_assert(ARG1(arg),O_LIST,"dp_ptod"); - for ( vl = 0, n = BDY((LIST)ARG1(arg)); n; n = NEXT(n) ) { - if ( !vl ) { - NEWVL(vl); tvl = vl; - } else { - NEWVL(NEXT(tvl)); tvl = NEXT(tvl); - } - VR(tvl) = VR((P)BDY(n)); - } - if ( vl ) - NEXT(tvl) = 0; - ptod(CO,vl,(P)ARG0(arg),rp); + do_weyl = 0; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dp_inv_or_split"); + asir_assert(ARG1(arg),O_DP,"dp_inv_or_split"); + if ( !create_order_spec(0,(Obj)ARG2(arg),&spec) ) + error("dp_inv_or_split : invalid order specification"); + gb = BDY((LIST)ARG0(arg)); + f = (DP)ARG1(arg); + newgb = (NODE)dp_inv_or_split(gb,f,spec,&inv); + if ( !newgb ) { + /* invertible */ + *rp = (Obj)inv; + } else { + MKLIST(list,newgb); + *rp = (Obj)list; + } } -void Pdp_dtop(arg,rp) -NODE arg; -P *rp; +void Pdp_sort(NODE arg,DP *rp) { - NODE n; - VL vl,tvl; + dp_sort((DP)ARG0(arg),rp); +} - asir_assert(ARG0(arg),O_DP,"dp_dtop"); - asir_assert(ARG1(arg),O_LIST,"dp_dtop"); - for ( vl = 0, n = BDY((LIST)ARG1(arg)); n; n = NEXT(n) ) { - if ( !vl ) { - NEWVL(vl); tvl = vl; - } else { - NEWVL(NEXT(tvl)); tvl = NEXT(tvl); - } - VR(tvl) = VR((P)BDY(n)); - } - if ( vl ) - NEXT(tvl) = 0; - dtop(CO,vl,(DP)ARG0(arg),rp); +void Pdp_mdtod(NODE arg,DP *rp) +{ + MP m,mr,mr0; + DP p; + P t; + + p = (DP)ARG0(arg); + if ( !p ) + *rp = 0; + else { + for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { + mptop((P)m->c,&t); NEXTMP(mr0,mr); mr->c = (Obj)t; mr->dl = m->dl; + } + NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; + } } +void Pdp_sep(NODE arg,VECT *rp) +{ + DP p,r; + MP m,t; + MP *w0,*w; + int i,n,d,nv,sugar; + VECT v; + pointer *pv; + + p = (DP)ARG0(arg); m = BDY(p); + d = QTOS((Q)ARG1(arg)); + for ( t = m, n = 0; t; t = NEXT(t), n++ ); + if ( d > n ) + d = n; + MKVECT(v,d); *rp = v; + pv = BDY(v); nv = p->nv; sugar = p->sugar; + w0 = (MP *)MALLOC(d*sizeof(MP)); bzero(w0,d*sizeof(MP)); + w = (MP *)MALLOC(d*sizeof(MP)); bzero(w,d*sizeof(MP)); + for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, i %= d ) { + NEXTMP(w0[i],w[i]); w[i]->c = t->c; w[i]->dl = t->dl; + } + for ( i = 0; i < d; i++ ) { + NEXT(w[i]) = 0; MKDP(nv,w0[i],r); r->sugar = sugar; + pv[i] = (pointer)r; + } +} + +void Pdp_idiv(NODE arg,DP *rp) +{ + dp_idiv((DP)ARG0(arg),(Q)ARG1(arg),rp); +} + +void Pdp_cont(NODE arg,Q *rp) +{ + dp_cont((DP)ARG0(arg),rp); +} + +void Pdp_dtov(NODE arg,VECT *rp) +{ + dp_dtov((DP)ARG0(arg),rp); +} + +void Pdp_mbase(NODE arg,LIST *rp) +{ + NODE mb; + + asir_assert(ARG0(arg),O_LIST,"dp_mbase"); + dp_mbase(BDY((LIST)ARG0(arg)),&mb); + MKLIST(*rp,mb); +} + +void Pdp_etov(NODE arg,VECT *rp) +{ + DP dp; + int n,i; + int *d; + VECT v; + 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(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 = (Obj)ONE; NEXT(m) = 0; + MKDP(n,m,dp); dp->sugar = td; + *rp = dp; +} + +void Pdp_lnf_mod(NODE arg,LIST *rp) +{ + DP r1,r2; + NODE b,g,n; + int mod; + + asir_assert(ARG0(arg),O_LIST,"dp_lnf_mod"); + asir_assert(ARG1(arg),O_LIST,"dp_lnf_mod"); + asir_assert(ARG2(arg),O_N,"dp_lnf_mod"); + b = BDY((LIST)ARG0(arg)); g = BDY((LIST)ARG1(arg)); + mod = 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(NODE arg,LIST *rp) +{ + DP r1,r2; + NODE b,g,n; + + asir_assert(ARG0(arg),O_LIST,"dp_lnf_f"); + asir_assert(ARG1(arg),O_LIST,"dp_lnf_f"); + b = BDY((LIST)ARG0(arg)); g = BDY((LIST)ARG1(arg)); + dp_lnf_f((DP)BDY(b),(DP)BDY(NEXT(b)),g,&r1,&r2); + NEWNODE(n); BDY(n) = (pointer)r1; + NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)r2; + NEXT(NEXT(n)) = 0; MKLIST(*rp,n); +} + +void Pdp_nf_tab_mod(NODE arg,DP *rp) +{ + asir_assert(ARG0(arg),O_DP,"dp_nf_tab_mod"); + asir_assert(ARG1(arg),O_VECT,"dp_nf_tab_mod"); + asir_assert(ARG2(arg),O_N,"dp_nf_tab_mod"); + dp_nf_tab_mod((DP)ARG0(arg),(LIST *)BDY((VECT)ARG1(arg)), + QTOS((Q)ARG2(arg)),rp); +} + +void Pdp_nf_tab_f(NODE arg,DP *rp) +{ + asir_assert(ARG0(arg),O_DP,"dp_nf_tab_f"); + asir_assert(ARG1(arg),O_VECT,"dp_nf_tab_f"); + dp_nf_tab_f((DP)ARG0(arg),(LIST *)BDY((VECT)ARG1(arg)),rp); +} + +void Pdp_ord(NODE arg,Obj *rp) +{ + struct order_spec *spec; + LIST v; + struct oLIST f; + Num homo; + int modular; + + f.id = O_LIST; f.body = 0; + if ( !arg && !current_option ) + *rp = dp_current_spec->obj; + else { + if ( current_option ) + parse_gr_option(&f,current_option,&v,&homo,&modular,&spec); + else if ( !create_order_spec(0,(Obj)ARG0(arg),&spec) ) + error("dp_ord : invalid order specification"); + initd(spec); *rp = spec->obj; + } +} + +void Pdp_ptod(NODE arg,DP *rp) +{ + P p; + NODE n; + VL vl,tvl; + struct oLIST f; + int ac; + LIST v; + Num homo; + int modular; + struct order_spec *ord; + + asir_assert(ARG0(arg),O_P,"dp_ptod"); + p = (P)ARG0(arg); + ac = argc(arg); + if ( ac == 1 ) { + if ( current_option ) { + f.id = O_LIST; f.body = mknode(1,p); + parse_gr_option(&f,current_option,&v,&homo,&modular,&ord); + initd(ord); + } else + error("dp_ptod : invalid argument"); + } else { + asir_assert(ARG1(arg),O_LIST,"dp_ptod"); + v = (LIST)ARG1(arg); + } + for ( vl = 0, n = BDY(v); n; n = NEXT(n) ) { + if ( !vl ) { + NEWVL(vl); tvl = vl; + } else { + NEWVL(NEXT(tvl)); tvl = NEXT(tvl); + } + VR(tvl) = VR((P)BDY(n)); + } + if ( vl ) + NEXT(tvl) = 0; + ptod(CO,vl,p,rp); +} + +void Phomogenize(NODE arg,Obj *rp) +{ + P p; + DP d,h; + NODE n; + V hv; + VL vl,tvl,last; + struct oLIST f; + LIST v; + + asir_assert(ARG0(arg),O_P,"homogenize"); + p = (P)ARG0(arg); + asir_assert(ARG1(arg),O_LIST,"homogenize"); + v = (LIST)ARG1(arg); + asir_assert(ARG2(arg),O_P,"homogenize"); + hv = VR((P)ARG2(arg)); + for ( vl = 0, n = BDY(v); n; n = NEXT(n) ) { + if ( !vl ) { + NEWVL(vl); tvl = vl; + } else { + NEWVL(NEXT(tvl)); tvl = NEXT(tvl); + } + VR(tvl) = VR((P)BDY(n)); + } + if ( vl ) { + last = tvl; + NEXT(tvl) = 0; + } + ptod(CO,vl,p,&d); + dp_homo(d,&h); + NEWVL(NEXT(last)); last = NEXT(last); + VR(last) = hv; NEXT(last) = 0; + dtop(CO,vl,h,rp); +} + +void Pdp_ltod(NODE arg,DPV *rp) +{ + NODE n; + VL vl,tvl; + LIST f,v; + int sugar,i,len,ac,modular; + Num homo; + struct order_spec *ord; + DP *e; + NODE nd,t; + + ac = argc(arg); + asir_assert(ARG0(arg),O_LIST,"dp_ptod"); + f = (LIST)ARG0(arg); + if ( ac == 1 ) { + if ( current_option ) { + parse_gr_option(f,current_option,&v,&homo,&modular,&ord); + initd(ord); + } else + error("dp_ltod : invalid argument"); + } else { + asir_assert(ARG1(arg),O_LIST,"dp_ptod"); + v = (LIST)ARG1(arg); + } + for ( vl = 0, n = BDY(v); n; n = NEXT(n) ) { + if ( !vl ) { + NEWVL(vl); tvl = vl; + } else { + NEWVL(NEXT(tvl)); tvl = NEXT(tvl); + } + VR(tvl) = VR((P)BDY(n)); + } + if ( vl ) + NEXT(tvl) = 0; + + nd = BDY(f); + len = length(nd); + e = (DP *)MALLOC(len*sizeof(DP)); + sugar = 0; + for ( i = 0, t = nd; i < len; i++, t = NEXT(t) ) { + ptod(CO,vl,(P)BDY(t),&e[i]); + if ( e[i] ) + sugar = MAX(sugar,e[i]->sugar); + } + MKDPV(len,e,*rp); +} + +void Pdpm_ltod(NODE arg,DPM *rp) +{ + NODE n; + VL vl,tvl; + LIST f,v; + int i,len; + NODE nd; + NODE t; + DP d; + DPM s,u,w; + + f = (LIST)ARG0(arg); + v = (LIST)ARG1(arg); + for ( vl = 0, n = BDY(v); n; n = NEXT(n) ) { + if ( !vl ) { + NEWVL(vl); tvl = vl; + } else { + NEWVL(NEXT(tvl)); tvl = NEXT(tvl); + } + VR(tvl) = VR((P)BDY(n)); + } + if ( vl ) + NEXT(tvl) = 0; + + nd = BDY(f); + len = length(nd); + for ( i = 0, t = nd, s = 0; i < len; i++, t = NEXT(t) ) { + ptod(CO,vl,(P)BDY(t),&d); + dtodpm(d,i,&u); + adddpm(CO,s,u,&w); s = w; + } + *rp = s; +} + +void Pdpm_dtol(NODE arg,LIST *rp) +{ + DPM a; + NODE nd,nd1; + VL vl,tvl; + int n,len,i,pos,nv; + MP *w; + DMM t; + DMM *wa; + MP m; + DP u; + Obj s; + + a = (DPM)ARG0(arg); + for ( vl = 0, nd = BDY((LIST)ARG1(arg)), nv = 0; nd; nd = NEXT(nd), nv++ ) { + if ( !vl ) { + NEWVL(vl); tvl = vl; + } else { + NEWVL(NEXT(tvl)); tvl = NEXT(tvl); + } + VR(tvl) = VR((P)BDY(nd)); + } + if ( vl ) + NEXT(tvl) = 0; + n = QTOS((Q)ARG2(arg)); + w = (MP *)CALLOC(n,sizeof(MP)); + for ( t = BDY(a), len = 0; t; t = NEXT(t) ) len++; + wa = (DMM *)MALLOC(len*sizeof(DMM)); + for ( t = BDY(a), i = 0; t; t = NEXT(t), i++ ) wa[i] = t; + for ( i = len-1; i >= 0; i-- ) { + NEWMP(m); m->dl = wa[i]->dl; C(m) = C(wa[i]); + pos = wa[i]->pos; + NEXT(m) = w[pos]; + w[pos] = m; + } + nd = 0; + for ( i = n-1; i >= 0; i-- ) { + MKDP(nv,w[i],u); u->sugar = a->sugar; /* XXX */ + dtop(CO,vl,u,&s); + MKNODE(nd1,s,nd); nd = nd1; + } + MKLIST(*rp,nd); +} + +void Pdp_dtop(NODE arg,Obj *rp) +{ + NODE n; + VL vl,tvl; + + asir_assert(ARG0(arg),O_DP,"dp_dtop"); + asir_assert(ARG1(arg),O_LIST,"dp_dtop"); + for ( vl = 0, n = BDY((LIST)ARG1(arg)); n; n = NEXT(n) ) { + if ( !vl ) { + NEWVL(vl); tvl = vl; + } else { + NEWVL(NEXT(tvl)); tvl = NEXT(tvl); + } + VR(tvl) = VR((P)BDY(n)); + } + if ( vl ) + NEXT(tvl) = 0; + dtop(CO,vl,(DP)ARG0(arg),rp); +} + extern LIST Dist; -void Pdp_ptozp(arg,rp) -NODE arg; -DP *rp; +void Pdp_ptozp(NODE arg,Obj *rp) { - asir_assert(ARG0(arg),O_DP,"dp_ptozp"); -#if INET - if ( Dist ) - dp_ptozp_d(BDY(Dist),length(BDY(Dist)),(DP)ARG0(arg),rp); - else -#endif - dp_ptozp((DP)ARG0(arg),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"); + + /* analyze the option */ + if ( current_option ) { + for ( tt = current_option; tt; tt = NEXT(tt) ) { + p = BDY((LIST)BDY(tt)); + key = BDY((STRING)BDY(p)); + /* value = (Obj)BDY(NEXT(p)); */ + if ( !strcmp(key,"factor") ) get_factor=1; + else { + error("ptozp: unknown option."); + } + } + } + + dp_ptozp3((DP)ARG0(arg),&t,&pp); + + /* printexpr(NULL,t); */ + /* if the option factor is given, then it returns the answer + in the format [zpoly, num] where num*zpoly is equal to the argument.*/ + if (get_factor) { + n0 = mknode(2,pp,t); + MKLIST(list,n0); + *rp = (Obj)list; + } else + *rp = (Obj)pp; } - -void Pdp_ptozp2(arg,rp) -NODE arg; -LIST *rp; + +void Pdp_ptozp2(NODE arg,LIST *rp) { - DP p0,p1,h,r; - NODE n0; + DP p0,p1,h,r; + NODE n0; - p0 = (DP)ARG0(arg); p1 = (DP)ARG1(arg); - asir_assert(p0,O_DP,"dp_ptozp2"); - asir_assert(p1,O_DP,"dp_ptozp2"); -#if INET - 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(NEXT(n0)); BDY(NEXT(n0)) = (pointer)r; - NEXT(NEXT(n0)) = 0; - MKLIST(*rp,n0); + p0 = (DP)ARG0(arg); p1 = (DP)ARG1(arg); + asir_assert(p0,O_DP,"dp_ptozp2"); + asir_assert(p1,O_DP,"dp_ptozp2"); + dp_ptozp2(p0,p1,&h,&r); + NEWNODE(n0); BDY(n0) = (pointer)h; + NEWNODE(NEXT(n0)); BDY(NEXT(n0)) = (pointer)r; + NEXT(NEXT(n0)) = 0; + MKLIST(*rp,n0); } -void Pdp_prim(arg,rp) -NODE arg; -DP *rp; +void Pdp_prim(NODE arg,DP *rp) { - DP t; + DP t; - asir_assert(ARG0(arg),O_DP,"dp_prim"); - dp_prim((DP)ARG0(arg),&t); dp_ptozp(t,rp); + asir_assert(ARG0(arg),O_DP,"dp_prim"); + dp_prim((DP)ARG0(arg),&t); dp_ptozp(t,rp); } - -extern int NoGCD; + +void Pdp_mod(NODE arg,DP *rp) +{ + DP p; + int mod; + NODE subst; -void dp_prim(p,rp) -DP p,*rp; + asir_assert(ARG0(arg),O_DP,"dp_mod"); + asir_assert(ARG1(arg),O_N,"dp_mod"); + asir_assert(ARG2(arg),O_LIST,"dp_mod"); + p = (DP)ARG0(arg); mod = QTOS((Q)ARG1(arg)); + subst = BDY((LIST)ARG2(arg)); + dp_mod(p,mod,subst,rp); +} + +void Pdp_rat(NODE arg,DP *rp) { - P t,g; - DP p1; - MP m,mr,mr0; - int i,n; - P *w; - Q *c; - Q dvr; + asir_assert(ARG0(arg),O_DP,"dp_rat"); + dp_rat((DP)ARG0(arg),rp); +} - 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; - } - } +extern int DP_Multiple; + +void Pdp_nf(NODE arg,DP *rp) +{ + NODE b; + DP *ps; + DP g; + int full; + + do_weyl = 0; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dp_nf"); + asir_assert(ARG1(arg),O_DP,"dp_nf"); + asir_assert(ARG2(arg),O_VECT,"dp_nf"); + asir_assert(ARG3(arg),O_N,"dp_nf"); + if ( !(g = (DP)ARG1(arg)) ) { + *rp = 0; return; + } + b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); + full = (Q)ARG3(arg) ? 1 : 0; + dp_nf_z(b,g,ps,full,DP_Multiple,rp); } -void heu_nezgcdnpz(vl,pl,m,pr) -VL vl; -P *pl,*pr; -int m; +void Pdp_weyl_nf(NODE arg,DP *rp) { - 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; + NODE b; + DP *ps; + DP g; + int full; + + asir_assert(ARG0(arg),O_LIST,"dp_weyl_nf"); + asir_assert(ARG1(arg),O_DP,"dp_weyl_nf"); + asir_assert(ARG2(arg),O_VECT,"dp_weyl_nf"); + asir_assert(ARG3(arg),O_N,"dp_weyl_nf"); + if ( !(g = (DP)ARG1(arg)) ) { + *rp = 0; return; + } + b = BDY((LIST)ARG0(arg)); 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 dp_prim_mod(p,mod,rp) -int mod; -DP p,*rp; +void Pdpm_nf(NODE arg,DP *rp) { - P t,g; - MP m,mr,mr0; + NODE b; + DPM *ps; + DPM g; + int full; - 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; - } + if ( !(g = (DPM)ARG1(arg)) ) { + *rp = 0; return; + } + do_weyl = 0; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dpm_nf"); + asir_assert(ARG1(arg),O_DPM,"dpm_nf"); + asir_assert(ARG2(arg),O_VECT,"dpm_nf"); + asir_assert(ARG3(arg),O_N,"dpm_nf"); + b = BDY((LIST)ARG0(arg)); ps = (DPM *)BDY((VECT)ARG2(arg)); + full = (Q)ARG3(arg) ? 1 : 0; + dpm_nf_z(b,g,ps,full,DP_Multiple,rp); } -void Pdp_mod(arg,rp) -NODE arg; -DP *rp; +void Pdpm_weyl_nf(NODE arg,DPM *rp) { - DP p; - int mod; - NODE subst; + NODE b; + DPM *ps; + DPM g; + int full; - asir_assert(ARG0(arg),O_DP,"dp_mod"); - asir_assert(ARG1(arg),O_N,"dp_mod"); - asir_assert(ARG2(arg),O_LIST,"dp_mod"); - p = (DP)ARG0(arg); mod = QTOS((Q)ARG1(arg)); - subst = BDY((LIST)ARG2(arg)); - dp_mod(p,mod,subst,rp); + if ( !(g = (DPM)ARG1(arg)) ) { + *rp = 0; return; + } + asir_assert(ARG0(arg),O_LIST,"dpm_weyl_nf"); + asir_assert(ARG1(arg),O_DPM,"dpm_weyl_nf"); + asir_assert(ARG2(arg),O_VECT,"dpm_weyl_nf"); + asir_assert(ARG3(arg),O_N,"dpm_weyl_nf"); + b = BDY((LIST)ARG0(arg)); ps = (DPM *)BDY((VECT)ARG2(arg)); + full = (Q)ARG3(arg) ? 1 : 0; + do_weyl = 1; + dpm_nf_z(b,g,ps,full,DP_Multiple,rp); + do_weyl = 0; } -void Pdp_rat(arg,rp) -NODE arg; -DP *rp; +/* nf computation using field operations */ + +void Pdp_nf_f(NODE arg,DP *rp) { - asir_assert(ARG0(arg),O_DP,"dp_rat"); - dp_rat((DP)ARG0(arg),rp); + NODE b; + DP *ps; + DP g; + int full; + + do_weyl = 0; + asir_assert(ARG0(arg),O_LIST,"dp_nf_f"); + asir_assert(ARG1(arg),O_DP,"dp_nf_f"); + asir_assert(ARG2(arg),O_VECT,"dp_nf_f"); + asir_assert(ARG3(arg),O_N,"dp_nf_f"); + if ( !(g = (DP)ARG1(arg)) ) { + *rp = 0; return; + } + b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); + full = (Q)ARG3(arg) ? 1 : 0; + dp_nf_f(b,g,ps,full,rp); } -void dp_mod(p,mod,subst,rp) -DP p; -int mod; -NODE subst; -DP *rp; +void Pdp_weyl_nf_f(NODE arg,DP *rp) { - MP m,mr,mr0; - P t,s,s1; - V v; - NODE tn; + NODE b; + DP *ps; + DP g; + int full; - if ( !p ) - *rp = 0; - else { - for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - for ( tn = subst, s = m->c; tn; tn = NEXT(tn) ) { - v = VR((P)BDY(tn)); tn = NEXT(tn); - substp(CO,s,v,(P)BDY(tn),&s1); s = s1; - } - 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; - } + 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 dp_rat(p,rp) -DP p; -DP *rp; +void Pdpm_nf_f(NODE arg,DPM *rp) { - MP m,mr,mr0; + NODE b; + DPM *ps; + DPM g; + int full; - if ( !p ) - *rp = 0; - else { - for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - NEXTMP(mr0,mr); mptop(m->c,&mr->c); mr->dl = m->dl; - } - if ( mr0 ) { - NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; - } else - *rp = 0; - } + if ( !(g = (DPM)ARG1(arg)) ) { + *rp = 0; return; + } + asir_assert(ARG0(arg),O_LIST,"dpm_nf_f"); + asir_assert(ARG1(arg),O_DPM,"dpm_nf_f"); + asir_assert(ARG2(arg),O_VECT,"dpm_nf_f"); + asir_assert(ARG3(arg),O_N,"dpm_nf_f"); + b = BDY((LIST)ARG0(arg)); ps = (DPM *)BDY((VECT)ARG2(arg)); + full = (Q)ARG3(arg) ? 1 : 0; + dpm_nf_f(b,g,ps,full,rp); } -void Pdp_nf(arg,rp) -NODE arg; -DP *rp; +void Pdpm_weyl_nf_f(NODE arg,DPM *rp) { - NODE b; - DP *ps; - DP g; - int full; + NODE b; + DPM *ps; + DPM g; + int full; - asir_assert(ARG0(arg),O_LIST,"dp_nf"); - asir_assert(ARG1(arg),O_DP,"dp_nf"); - asir_assert(ARG2(arg),O_VECT,"dp_nf"); - asir_assert(ARG3(arg),O_N,"dp_nf"); - if ( !(g = (DP)ARG1(arg)) ) { - *rp = 0; return; - } - b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); - full = (Q)ARG3(arg) ? 1 : 0; - dp_nf(b,g,ps,full,rp); + if ( !(g = (DPM)ARG1(arg)) ) { + *rp = 0; return; + } + asir_assert(ARG0(arg),O_LIST,"dpm_weyl_nf_f"); + asir_assert(ARG1(arg),O_DP,"dpm_weyl_nf_f"); + asir_assert(ARG2(arg),O_VECT,"dpm_weyl_nf_f"); + asir_assert(ARG3(arg),O_N,"dpm_weyl_nf_f"); + b = BDY((LIST)ARG0(arg)); ps = (DPM *)BDY((VECT)ARG2(arg)); + full = (Q)ARG3(arg) ? 1 : 0; + do_weyl = 1; + dpm_nf_f(b,g,ps,full,rp); + do_weyl = 0; } -void Pdp_true_nf(arg,rp) -NODE arg; -LIST *rp; + +void Pdp_nf_mod(NODE arg,DP *rp) { - NODE b,n; - DP *ps; - DP g; - DP nm; - P dn; - int full; + NODE b; + DP g; + DP *ps; + int mod,full,ac; + NODE n,n0; - asir_assert(ARG0(arg),O_LIST,"dp_true_nf"); - asir_assert(ARG1(arg),O_DP,"dp_true_nf"); - asir_assert(ARG2(arg),O_VECT,"dp_true_nf"); - asir_assert(ARG3(arg),O_N,"dp_nf"); - if ( !(g = (DP)ARG1(arg)) ) { - nm = 0; dn = (P)ONE; - } else { - b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); - full = (Q)ARG3(arg) ? 1 : 0; - dp_true_nf(b,g,ps,full,&nm,&dn); - } - NEWNODE(n); BDY(n) = (pointer)nm; - NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)dn; - NEXT(NEXT(n)) = 0; MKLIST(*rp,n); + 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 dp_nf(b,g,ps,full,rp) -NODE b; -DP g; -DP *ps; -int full; -DP *rp; +void Pdp_true_nf(NODE arg,LIST *rp) { - DP u,p,d,s,t; - P dmy; - NODE l; - MP m,mr; - int i,n; - int *wb; - int sugar,psugar; + NODE b,n; + DP *ps; + DP g; + DP nm; + P dn; + int full; - 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)); - 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; + do_weyl = 0; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dp_true_nf"); + asir_assert(ARG1(arg),O_DP,"dp_true_nf"); + asir_assert(ARG2(arg),O_VECT,"dp_true_nf"); + asir_assert(ARG3(arg),O_N,"dp_nf"); + if ( !(g = (DP)ARG1(arg)) ) { + nm = 0; dn = (P)ONE; + } else { + b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); + full = (Q)ARG3(arg) ? 1 : 0; + dp_true_nf(b,g,ps,full,&nm,&dn); + } + NEWNODE(n); BDY(n) = (pointer)nm; + NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)dn; + NEXT(NEXT(n)) = 0; MKLIST(*rp,n); } -void dp_true_nf(b,g,ps,full,rp,dnp) -NODE b; -DP g; -DP *ps; -int full; -DP *rp; -P *dnp; +DP *dp_true_nf_and_quotient_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *dnp); + +void Pdp_true_nf_and_quotient_marked(NODE arg,LIST *rp) { - DP u,p,d,s,t; - NODE l; - MP m,mr; - int i,n; - int *wb; - int sugar,psugar; - P dn,tdn,tdn1; + NODE b,n; + DP *ps,*hps; + DP g; + DP nm; + VECT quo; + P dn; + int full; - dn = (P)ONE; - 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(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; + do_weyl = 0; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dp_true_nf_and_quotient_marked"); + asir_assert(ARG1(arg),O_DP,"dp_true_nf_and_quotient_marked"); + asir_assert(ARG2(arg),O_VECT,"dp_true_nf_and_quotient_marked"); + asir_assert(ARG3(arg),O_VECT,"dp_true_nf_and_quotient_marked"); + if ( !(g = (DP)ARG1(arg)) ) { + nm = 0; dn = (P)ONE; + } else { + b = BDY((LIST)ARG0(arg)); + ps = (DP *)BDY((VECT)ARG2(arg)); + hps = (DP *)BDY((VECT)ARG3(arg)); + NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len; + quo->body = (pointer *)dp_true_nf_and_quotient_marked(b,g,ps,hps,&nm,&dn); + } + n = mknode(3,nm,dn,quo); + MKLIST(*rp,n); } -#define HMAG(p) (p_mag(BDY(p)->c)) +void Pdp_true_nf_and_quotient(NODE arg,LIST *rp) +{ + NODE narg = mknode(4,ARG0(arg),ARG1(arg),ARG2(arg),ARG2(arg)); + Pdp_true_nf_and_quotient_marked(narg,rp); +} -void Pdp_nf_ptozp(arg,rp) -NODE arg; -DP *rp; + +DP *dp_true_nf_and_quotient_marked_mod (NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp); + +void Pdp_true_nf_and_quotient_marked_mod(NODE arg,LIST *rp) { - NODE b; - DP g; - DP *ps; - int full,multiple; + NODE b,n; + DP *ps,*hps; + DP g; + DP nm; + VECT quo; + P dn; + int full,mod; - asir_assert(ARG0(arg),O_LIST,"dp_nf_ptozp"); - asir_assert(ARG1(arg),O_DP,"dp_nf_ptozp"); - asir_assert(ARG2(arg),O_VECT,"dp_nf_ptozp"); - asir_assert(ARG3(arg),O_N,"dp_nf_ptozp"); - asir_assert(ARG4(arg),O_N,"dp_nf_ptozp"); - 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; - multiple = QTOS((Q)ARG4(arg)); - dp_nf_ptozp(b,g,ps,full,multiple,rp); + do_weyl = 0; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dp_true_nf_and_quotient_marked_mod"); + asir_assert(ARG1(arg),O_DP,"dp_true_nf_and_quotient_marked_mod"); + asir_assert(ARG2(arg),O_VECT,"dp_true_nf_and_quotient_marked_mod"); + asir_assert(ARG3(arg),O_VECT,"dp_true_nf_and_quotient_marked_mod"); + asir_assert(ARG4(arg),O_N,"dp_true_nf_and_quotient_marked_mod"); + if ( !(g = (DP)ARG1(arg)) ) { + nm = 0; dn = (P)ONE; + } else { + b = BDY((LIST)ARG0(arg)); + ps = (DP *)BDY((VECT)ARG2(arg)); + hps = (DP *)BDY((VECT)ARG3(arg)); + mod = QTOS((Q)ARG4(arg)); + NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len; + quo->body = (pointer *)dp_true_nf_and_quotient_marked_mod(b,g,ps,hps,mod,&nm,&dn); + } + n = mknode(3,nm,dn,quo); + MKLIST(*rp,n); } -void dp_nf_ptozp(b,g,ps,full,multiple,rp) -NODE b; -DP g; -DP *ps; -int full,multiple; -DP *rp; +void Pdp_true_nf_and_quotient_mod(NODE arg,LIST *rp) { - DP u,p,d,s,t; - P dmy; - NODE l; - MP m,mr; - int i,n; - int *wb; - int hmag; - int sugar,psugar; + NODE narg = mknode(5,ARG0(arg),ARG1(arg),ARG2(arg),ARG2(arg),ARG3(arg)); + Pdp_true_nf_and_quotient_marked_mod(narg,rp); +} - 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_true_nf_marked(NODE arg,LIST *rp) +{ + NODE b,n; + DP *ps,*hps; + DP g; + DP nm; + Q cont; + P dn; + int full; + + do_weyl = 0; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dp_true_nf_marked"); + asir_assert(ARG1(arg),O_DP,"dp_true_nf_marked"); + asir_assert(ARG2(arg),O_VECT,"dp_true_nf_marked"); + asir_assert(ARG3(arg),O_VECT,"dp_true_nf_marked"); + if ( !(g = (DP)ARG1(arg)) ) { + nm = 0; dn = (P)ONE; + } else { + b = BDY((LIST)ARG0(arg)); + ps = (DP *)BDY((VECT)ARG2(arg)); + hps = (DP *)BDY((VECT)ARG3(arg)); + dp_true_nf_marked(b,g,ps,hps,&nm,(P *)&cont,(P *)&dn); + } + n = mknode(3,nm,cont,dn); + MKLIST(*rp,n); } -void Pdp_nf_demand(arg,rp) -NODE arg; -DP *rp; +void Pdp_true_nf_marked_mod(NODE arg,LIST *rp) { - DP g,u,p,d,s,t; - P dmy; - NODE b,l; - DP *hps; - MP m,mr; - int i,n; - int *wb; - int full; - char *fprefix; - int sugar,psugar; + NODE b,n; + DP *ps,*hps; + DP g; + DP nm; + P dn; + int mod; - asir_assert(ARG0(arg),O_LIST,"dp_nf_demand"); - asir_assert(ARG1(arg),O_DP,"dp_nf_demand"); - asir_assert(ARG2(arg),O_N,"dp_nf_demand"); - asir_assert(ARG3(arg),O_VECT,"dp_nf_demand"); - asir_assert(ARG4(arg),O_STR,"dp_nf_demand"); - if ( !(g = (DP)ARG1(arg)) ) { - *rp = 0; return; - } - b = BDY((LIST)ARG0(arg)); full = (Q)ARG2(arg) ? 1 : 0; - hps = (DP *)BDY((VECT)ARG3(arg)); fprefix = BDY((STRING)ARG4(arg)); - 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]; + do_weyl = 0; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dp_true_nf_marked_mod"); + asir_assert(ARG1(arg),O_DP,"dp_true_nf_marked_mod"); + asir_assert(ARG2(arg),O_VECT,"dp_true_nf_marked_mod"); + asir_assert(ARG3(arg),O_VECT,"dp_true_nf_marked_mod"); + asir_assert(ARG4(arg),O_N,"dp_true_nf_marked_mod"); + if ( !(g = (DP)ARG1(arg)) ) { + nm = 0; dn = (P)ONE; + } else { + b = BDY((LIST)ARG0(arg)); + ps = (DP *)BDY((VECT)ARG2(arg)); + hps = (DP *)BDY((VECT)ARG3(arg)); + mod = QTOS((Q)ARG4(arg)); + dp_true_nf_marked_mod(b,g,ps,hps,mod,&nm,&dn); + } + n = mknode(2,nm,dn); + MKLIST(*rp,n); +} - 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_weyl_nf_mod(NODE arg,DP *rp) +{ + NODE b; + DP g; + DP *ps; + int mod,full,ac; + NODE n,n0; + + ac = argc(arg); + asir_assert(ARG0(arg),O_LIST,"dp_weyl_nf_mod"); + asir_assert(ARG1(arg),O_DP,"dp_weyl_nf_mod"); + asir_assert(ARG2(arg),O_VECT,"dp_weyl_nf_mod"); + asir_assert(ARG3(arg),O_N,"dp_weyl_nf_mod"); + asir_assert(ARG4(arg),O_N,"dp_weyl_nf_mod"); + if ( !(g = (DP)ARG1(arg)) ) { + *rp = 0; return; + } + b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); + full = 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; + do_weyl = 1; + dp_nf_mod(n0,g,ps,mod,full,rp); + do_weyl = 0; } -void Pdp_nf_mod(arg,rp) -NODE arg; -DP *rp; +void Pdp_true_nf_mod(NODE arg,LIST *rp) { - NODE b; - DP g; - DP *ps; - int mod,full,ac; + NODE b; + DP g,nm; + P dn; + DP *ps; + int mod,full; + NODE n; - 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)); - dp_nf_mod_qindex(b,g,ps,mod,full,rp); + do_weyl = 0; + asir_assert(ARG0(arg),O_LIST,"dp_nf_mod"); + asir_assert(ARG1(arg),O_DP,"dp_nf_mod"); + asir_assert(ARG2(arg),O_VECT,"dp_nf_mod"); + asir_assert(ARG3(arg),O_N,"dp_nf_mod"); + asir_assert(ARG4(arg),O_N,"dp_nf_mod"); + if ( !(g = (DP)ARG1(arg)) ) { + nm = 0; dn = (P)ONEM; + } else { + b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); + full = QTOS((Q)ARG3(arg)); mod = QTOS((Q)ARG4(arg)); + dp_true_nf_mod(b,g,ps,mod,full,&nm,&dn); + } + NEWNODE(n); BDY(n) = (pointer)nm; + NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)dn; + NEXT(NEXT(n)) = 0; MKLIST(*rp,n); } -void Pdp_true_nf_mod(arg,rp) -NODE arg; -LIST *rp; +void Pdp_weyl_true_nf_and_quotient_marked(NODE arg,LIST *rp) { - NODE b; - DP g,nm; - P dn; - DP *ps; - int mod,full; - NODE n; + NODE b,n; + DP *ps,*hps; + DP g; + DP nm; + VECT quo; + P dn; + int full; - asir_assert(ARG0(arg),O_LIST,"dp_nf_mod"); - asir_assert(ARG1(arg),O_DP,"dp_nf_mod"); - asir_assert(ARG2(arg),O_VECT,"dp_nf_mod"); - asir_assert(ARG3(arg),O_N,"dp_nf_mod"); - asir_assert(ARG4(arg),O_N,"dp_nf_mod"); - if ( !(g = (DP)ARG1(arg)) ) { - nm = 0; dn = (P)ONEM; - } else { - b = BDY((LIST)ARG0(arg)); ps = (DP *)BDY((VECT)ARG2(arg)); - full = QTOS((Q)ARG3(arg)); mod = QTOS((Q)ARG4(arg)); - dp_true_nf_mod(b,g,ps,mod,full,&nm,&dn); - } - NEWNODE(n); BDY(n) = (pointer)nm; - NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)dn; - NEXT(NEXT(n)) = 0; MKLIST(*rp,n); + do_weyl = 1; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dp_weyl_true_nf_and_quotient_marked"); + asir_assert(ARG1(arg),O_DP,"dp_weyl_true_nf_and_quotient_marked"); + asir_assert(ARG2(arg),O_VECT,"dp_weyl_true_nf_and_quotient_marked"); + asir_assert(ARG3(arg),O_VECT,"dp_weyl_true_nf_and_quotient_marked"); + if ( !(g = (DP)ARG1(arg)) ) { + nm = 0; dn = (P)ONE; + } else { + b = BDY((LIST)ARG0(arg)); + ps = (DP *)BDY((VECT)ARG2(arg)); + hps = (DP *)BDY((VECT)ARG3(arg)); + NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len; + quo->body = (pointer *)dp_true_nf_and_quotient_marked(b,g,ps,hps,&nm,&dn); + } + n = mknode(3,nm,dn,quo); + MKLIST(*rp,n); } -void dp_nf_mod_qindex(b,g,ps,mod,full,rp) -NODE b; -DP g; -DP *ps; -int mod,full; -DP *rp; +void Pdp_weyl_true_nf_and_quotient(NODE arg,LIST *rp) { - DP u,p,d,s,t; - P dmy; - NODE l; - MP m,mr; - int sugar,psugar; + NODE narg = mknode(4,ARG0(arg),ARG1(arg),ARG2(arg),ARG2(arg)); + Pdp_weyl_true_nf_and_quotient_marked(narg,rp); +} - 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 Pdp_weyl_true_nf_and_quotient_marked_mod(NODE arg,LIST *rp) +{ + NODE b,n; + DP *ps,*hps; + DP g; + DP nm; + VECT quo; + P dn; + int full,mod; + + do_weyl = 1; dp_fcoeffs = 0; + asir_assert(ARG0(arg),O_LIST,"dp_weyl_true_nf_and_quotient_marked_mod"); + asir_assert(ARG1(arg),O_DP,"dp_weyl_true_nf_and_quotient_marked_mod"); + asir_assert(ARG2(arg),O_VECT,"dp_weyl_true_nf_and_quotient_marked_mod"); + asir_assert(ARG3(arg),O_VECT,"dp_weyl_true_nf_and_quotient_marked_mod"); + asir_assert(ARG4(arg),O_N,"dp_weyl_true_nf_and_quotient_marked_mod"); + if ( !(g = (DP)ARG1(arg)) ) { + nm = 0; dn = (P)ONE; + } else { + b = BDY((LIST)ARG0(arg)); + ps = (DP *)BDY((VECT)ARG2(arg)); + hps = (DP *)BDY((VECT)ARG3(arg)); + mod = QTOS((Q)ARG4(arg)); + NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len; + quo->body = (pointer *)dp_true_nf_and_quotient_marked_mod(b,g,ps,hps,mod,&nm,&dn); + } + n = mknode(3,nm,dn,quo); + MKLIST(*rp,n); } -void dp_nf_mod(b,g,ps,mod,full,rp) -NODE b; -DP g; -DP *ps; -int mod,full; -DP *rp; +void Pdp_weyl_true_nf_and_quotient_mod(NODE arg,LIST *rp) { - DP u,p,d,s,t; - P dmy; - NODE l; - MP m,mr; - int sugar,psugar; + NODE narg = mknode(5,ARG0(arg),ARG1(arg),ARG2(arg),ARG2(arg),ARG3(arg)); + Pdp_weyl_true_nf_and_quotient_marked_mod(narg,rp); +} - 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 Pdp_tdiv(NODE arg,DP *rp) +{ + MP m,mr,mr0; + DP p; + Q c; + N d,q,r; + int sgn; + + asir_assert(ARG0(arg),O_DP,"dp_tdiv"); + asir_assert(ARG1(arg),O_N,"dp_tdiv"); + p = (DP)ARG0(arg); d = NM((Q)ARG1(arg)); sgn = SGN((Q)ARG1(arg)); + if ( !p ) + *rp = 0; + else { + for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { + divn(NM((Q)m->c),d,&q,&r); + if ( r ) { + *rp = 0; return; + } else { + NEXTMP(mr0,mr); NTOQ(q,SGN((Q)m->c)*sgn,c); + mr->c = (Obj)c; mr->dl = m->dl; + } + } + NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; + } } -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; +void Pdp_red_coef(NODE arg,DP *rp) { - DP u,p,d,s,t; - NODE l; - MP m,mr; - int i,n; - int *wb; - int sugar,psugar; - P dn,tdn,tdn1; + MP m,mr,mr0; + P q,r; + DP p; + P mod; - 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; + p = (DP)ARG0(arg); mod = (P)ARG1(arg); + asir_assert(p,O_DP,"dp_red_coef"); + asir_assert(mod,O_P,"dp_red_coef"); + if ( !p ) + *rp = 0; + else { + for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { + divsrp(CO,(P)m->c,mod,&q,&r); + if ( r ) { + NEXTMP(mr0,mr); mr->c = (Obj)r; mr->dl = m->dl; + } + } + if ( mr0 ) { + NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; + } else + *rp = 0; + } } -void Pdp_tdiv(arg,rp) -NODE arg; -DP *rp; +void Pdp_redble(NODE arg,Q *rp) { - MP m,mr,mr0; - DP p; - Q c; - N d,q,r; - int sgn; + asir_assert(ARG0(arg),O_DP,"dp_redble"); + asir_assert(ARG1(arg),O_DP,"dp_redble"); + if ( dp_redble((DP)ARG0(arg),(DP)ARG1(arg)) ) + *rp = ONE; + else + *rp = 0; +} - asir_assert(ARG0(arg),O_DP,"dp_tdiv"); - asir_assert(ARG1(arg),O_N,"dp_tdiv"); - p = (DP)ARG0(arg); d = NM((Q)ARG1(arg)); sgn = SGN((Q)ARG1(arg)); - if ( !p ) - *rp = 0; - else { - for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - divn(NM((Q)m->c),d,&q,&r); - if ( r ) { - *rp = 0; return; - } else { - NEXTMP(mr0,mr); NTOQ(q,SGN((Q)m->c)*sgn,c); - mr->c = (P)c; mr->dl = m->dl; - } - } - NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; - } +void Pdp_red_mod(NODE arg,LIST *rp) +{ + DP h,r; + P dmy; + NODE n; + + do_weyl = 0; + asir_assert(ARG0(arg),O_DP,"dp_red_mod"); + asir_assert(ARG1(arg),O_DP,"dp_red_mod"); + asir_assert(ARG2(arg),O_DP,"dp_red_mod"); + asir_assert(ARG3(arg),O_N,"dp_red_mod"); + dp_red_mod((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),QTOS((Q)ARG3(arg)), + &h,&r,&dmy); + NEWNODE(n); BDY(n) = (pointer)h; + NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)r; + NEXT(NEXT(n)) = 0; MKLIST(*rp,n); } -void Pdp_red_coef(arg,rp) -NODE arg; -DP *rp; +void Pdp_subd(NODE arg,DP *rp) { - MP m,mr,mr0; - P q,r; - DP p; - P mod; + DP p1,p2; - p = (DP)ARG0(arg); mod = (P)ARG1(arg); - asir_assert(p,O_DP,"dp_red_coef"); - asir_assert(mod,O_P,"dp_red_coef"); - if ( !p ) - *rp = 0; - else { - for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - divsrp(CO,m->c,mod,&q,&r); - if ( r ) { - NEXTMP(mr0,mr); mr->c = r; mr->dl = m->dl; - } - } - if ( mr0 ) { - NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; - } else - *rp = 0; - } + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_subd"); + asir_assert(p2,O_DP,"dp_subd"); + dp_subd(p1,p2,rp); } -void qltozl(w,n,dvr) -Q *w,*dvr; -int n; +void Pdp_symb_add(NODE arg,DP *rp) { - N nm,dn; - N g,l1,l2,l3; - Q c,d; - int i; - struct oVECT v; + DP p1,p2,r; + NODE s0; + MP mp0,mp; + int nv; - 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; + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_symb_add"); + asir_assert(p2,O_DP,"dp_symb_add"); + if ( !p1 ) { *rp = p2; return; } + else if ( !p2 ) { *rp = p1; return; } + if ( p1->nv != p2->nv ) + error("dp_sumb_add : invalid input"); + nv = p1->nv; + s0 = symb_merge(dp_dllist(p1),dp_dllist(p2),nv); + for ( mp0 = 0; s0; s0 = NEXT(s0) ) { + NEXTMP(mp0,mp); mp->dl = (DL)BDY(s0); mp->c = (Obj)ONE; + } + NEXT(mp) = 0; + MKDP(nv,mp0,r); r->sugar = MAX(p1->sugar,p2->sugar); + *rp = r; } -int comp_nm(a,b) -Q *a,*b; +void Pdp_mul_trunc(NODE arg,DP *rp) { - return cmpn((*a)?NM(*a):0,(*b)?NM(*b):0); + 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 sortbynm(w,n) -Q *w; -int n; +void Pdp_quo(NODE arg,DP *rp) { - qsort(w,n,sizeof(Q),(int (*)(const void *,const void *))comp_nm); + DP p1,p2; + + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_quo"); + asir_assert(p2,O_DP,"dp_quo"); + comm_quod(CO,p1,p2,rp); } -void Pdp_redble(arg,rp) -NODE arg; -Q *rp; +void Pdp_weyl_mul(NODE arg,DP *rp) { - asir_assert(ARG0(arg),O_DP,"dp_redble"); - asir_assert(ARG1(arg),O_DP,"dp_redble"); - if ( dp_redble((DP)ARG0(arg),(DP)ARG1(arg)) ) - *rp = ONE; - else - *rp = 0; + DP p1,p2; + + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_weyl_mul"); asir_assert(p2,O_DP,"dp_weyl_mul"); + do_weyl = 1; + muld(CO,p1,p2,rp); + do_weyl = 0; } -void Pdp_red_mod(arg,rp) -NODE arg; -LIST *rp; +void Pdp_weyl_act(NODE arg,DP *rp) { - DP h,r; - P dmy; - NODE n; + DP p1,p2; - asir_assert(ARG0(arg),O_DP,"dp_red_mod"); - asir_assert(ARG1(arg),O_DP,"dp_red_mod"); - asir_assert(ARG2(arg),O_DP,"dp_red_mod"); - asir_assert(ARG3(arg),O_N,"dp_red_mod"); - dp_red_mod((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),QTOS((Q)ARG3(arg)), - &h,&r,&dmy); - NEWNODE(n); BDY(n) = (pointer)h; - NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)r; - NEXT(NEXT(n)) = 0; MKLIST(*rp,n); + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_weyl_act"); asir_assert(p2,O_DP,"dp_weyl_act"); + weyl_actd(CO,p1,p2,rp); } -int dp_redble(p1,p2) -DP p1,p2; + +void Pdp_weyl_mul_mod(NODE arg,DP *rp) { - int i,n; - DL d1,d2; + DP p1,p2; + Q m; - d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; - if ( d1->td < d2->td ) - return 0; - else { - for ( i = 0, n = p1->nv; i < n; i++ ) - if ( d1->d[i] < d2->d[i] ) - return 0; - return 1; - } + 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 dp_red_mod(p0,p1,p2,mod,head,rest,dnp) -DP p0,p1,p2; -int mod; -DP *head,*rest; -P *dnp; +void Pdp_red(NODE arg,LIST *rp) { - int i,n; - DL d1,d2,d; - MP m; - DP t,s,r,h; - P c1,c2,g,u; + NODE n; + DP head,rest,dmy1; + P dmy; - n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; - NEWDL(d,n); d->td = d1->td - d2->td; - for ( i = 0; i < n; i++ ) - d->d[i] = d1->d[i]-d2->d[i]; - c1 = (P)BDY(p1)->c; c2 = (P)BDY(p2)->c; - gcdprsmp(CO,mod,c1,c2,&g); - divsmp(CO,mod,c1,g,&u); c1 = u; divsmp(CO,mod,c2,g,&u); c2 = u; - if ( NUM(c2) ) { - divsmp(CO,mod,c1,c2,&u); c1 = u; c2 = (P)ONEM; - } - NEWMP(m); m->dl = d; chsgnmp(mod,(P)c1,&m->c); NEXT(m) = 0; - MKDP(n,m,s); s->sugar = d->td; mulmd(CO,mod,p2,s,&t); - if ( NUM(c2) ) { - 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; + do_weyl = 0; + asir_assert(ARG0(arg),O_DP,"dp_red"); + asir_assert(ARG1(arg),O_DP,"dp_red"); + asir_assert(ARG2(arg),O_DP,"dp_red"); + dp_red((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),&head,&rest,&dmy,&dmy1); + NEWNODE(n); BDY(n) = (pointer)head; + NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)rest; + NEXT(NEXT(n)) = 0; MKLIST(*rp,n); } -void Pdp_subd(arg,rp) -NODE arg; -DP *rp; +void Pdp_weyl_red(NODE arg,LIST *rp) { - DP p1,p2; + NODE n; + DP head,rest,dmy1; + P dmy; - p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); - asir_assert(p1,O_DP,"dp_subd"); - asir_assert(p2,O_DP,"dp_subd"); - dp_subd(p1,p2,rp); + asir_assert(ARG0(arg),O_DP,"dp_weyl_red"); + asir_assert(ARG1(arg),O_DP,"dp_weyl_red"); + asir_assert(ARG2(arg),O_DP,"dp_weyl_red"); + do_weyl = 1; + dp_red((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),&head,&rest,&dmy,&dmy1); + do_weyl = 0; + NEWNODE(n); BDY(n) = (pointer)head; + NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)rest; + NEXT(NEXT(n)) = 0; MKLIST(*rp,n); } -void dp_subd(p1,p2,rp) -DP p1,p2; -DP *rp; +void Pdp_sp(NODE arg,DP *rp) { - int i,n; - DL d1,d2,d; - MP m; - DP s; + DP p1,p2; - n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; - NEWDL(d,n); d->td = d1->td - d2->td; - for ( i = 0; i < n; i++ ) - d->d[i] = d1->d[i]-d2->d[i]; - NEWMP(m); m->dl = d; m->c = (P)ONE; NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; - *rp = s; + do_weyl = 0; + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_sp"); asir_assert(p2,O_DP,"dp_sp"); + dp_sp(p1,p2,rp); } -void Pdp_red(arg,rp) -NODE arg; -LIST *rp; +void Pdp_weyl_sp(NODE arg,DP *rp) { - NODE n; - DP head,rest; - P dmy; + DP p1,p2; - asir_assert(ARG0(arg),O_DP,"dp_red"); - asir_assert(ARG1(arg),O_DP,"dp_red"); - asir_assert(ARG2(arg),O_DP,"dp_red"); - dp_red((DP)ARG0(arg),(DP)ARG1(arg),(DP)ARG2(arg),&head,&rest,&dmy); - NEWNODE(n); BDY(n) = (pointer)head; - NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)rest; - NEXT(NEXT(n)) = 0; MKLIST(*rp,n); + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_weyl_sp"); asir_assert(p2,O_DP,"dp_weyl_sp"); + do_weyl = 1; + dp_sp(p1,p2,rp); + do_weyl = 0; } -void dp_red(p0,p1,p2,head,rest,dnp) -DP p0,p1,p2; -DP *head,*rest; -P *dnp; +void Pdpm_sp(NODE arg,DPM *rp) { - int i,n; - DL d1,d2,d; - MP m; - DP t,s,r,h; - Q c,c1,c2; - N gn,tn; - P g,a; + DPM p1,p2; - n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; - NEWDL(d,n); d->td = d1->td - d2->td; - for ( i = 0; i < n; i++ ) - d->d[i] = d1->d[i]-d2->d[i]; - c1 = (Q)BDY(p1)->c; c2 = (Q)BDY(p2)->c; - if ( dp_fcoeffs ) { - /* do nothing */ - } else 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; - } - } 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; + do_weyl = 0; + p1 = (DPM)ARG0(arg); p2 = (DPM)ARG1(arg); + asir_assert(p1,O_DPM,"dpm_sp"); asir_assert(p2,O_DPM,"dpm_sp"); + dpm_sp(p1,p2,rp); } -void Pdp_sp(arg,rp) -NODE arg; -DP *rp; +void Pdpm_weyl_sp(NODE arg,DPM *rp) { - DP p1,p2; + DPM p1,p2; - p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); - asir_assert(p1,O_DP,"dp_sp"); asir_assert(p2,O_DP,"dp_sp"); - dp_sp(p1,p2,rp); + p1 = (DPM)ARG0(arg); p2 = (DPM)ARG1(arg); + asir_assert(p1,O_DPM,"dpm_weyl_sp"); asir_assert(p2,O_DPM,"dpm_weyl_sp"); + do_weyl = 1; + dpm_sp(p1,p2,rp); + do_weyl = 0; } -void dp_sp(p1,p2,rp) -DP p1,p2; -DP *rp; +void Pdp_sp_mod(NODE arg,DP *rp) { - int i,n,td; - int *w; - DL d1,d2,d; - MP m; - DP t,s,u; - Q c,c1,c2; - N gn,tn; + DP p1,p2; + int mod; - 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]; - } + do_weyl = 0; + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_sp_mod"); asir_assert(p2,O_DP,"dp_sp_mod"); + asir_assert(ARG2(arg),O_N,"dp_sp_mod"); + mod = QTOS((Q)ARG2(arg)); + dp_sp_mod(p1,p2,mod,rp); +} - 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); +void Pdp_lcm(NODE arg,DP *rp) +{ + int i,n,td; + DL d1,d2,d; + MP m; + DP p1,p2; - 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); + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_lcm"); asir_assert(p2,O_DP,"dp_lcm"); + n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; + NEWDL(d,n); + for ( i = 0, td = 0; i < n; i++ ) { + d->d[i] = MAX(d1->d[i],d2->d[i]); td += MUL_WEIGHT(d->d[i],i); + } + d->td = td; + NEWMP(m); m->dl = d; m->c = (Obj)ONE; NEXT(m) = 0; + MKDP(n,m,*rp); (*rp)->sugar = td; /* XXX */ +} + +void Pdp_hm(NODE arg,DP *rp) +{ + DP p; + + p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_hm"); + dp_hm(p,rp); +} + +void Pdp_ht(NODE arg,DP *rp) +{ + DP p; + MP m,mr; + + p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_ht"); + dp_ht(p,rp); +} + +void Pdp_hc(NODE arg,Obj *rp) +{ + asir_assert(ARG0(arg),O_DP,"dp_hc"); + if ( !ARG0(arg) ) + *rp = 0; + else + *rp = BDY((DP)ARG0(arg))->c; +} + +void Pdp_rest(NODE arg,DP *rp) +{ + asir_assert(ARG0(arg),O_DP,"dp_rest"); + if ( !ARG0(arg) ) + *rp = 0; + else + dp_rest((DP)ARG0(arg),rp); +} + +void Pdp_td(NODE arg,Q *rp) +{ + DP p; + + p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_td"); + if ( !p ) + *rp = 0; + else + STOQ(BDY(p)->dl->td,*rp); +} + +void Pdp_sugar(NODE arg,Q *rp) +{ + DP p; + + p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_sugar"); + if ( !p ) + *rp = 0; + else + STOQ(p->sugar,*rp); +} + +void Pdp_initial_term(NODE arg,Obj *rp) +{ + struct order_spec *ord; + Num homo; + int modular,is_list; + LIST v,f,l,initiallist; + NODE n; + + f = (LIST)ARG0(arg); + if ( f && OID(f) == O_LIST ) + is_list = 1; + else { + n = mknode(1,f); MKLIST(l,n); f = l; + is_list = 0; + } + if ( current_option ) { + parse_gr_option(f,current_option,&v,&homo,&modular,&ord); + initd(ord); + } else + ord = dp_current_spec; + initiallist = dp_initial_term(f,ord); + if ( !is_list ) + *rp = (Obj)BDY(BDY(initiallist)); + else + *rp = (Obj)initiallist; +} + +void Pdp_order(NODE arg,Obj *rp) +{ + struct order_spec *ord; + Num homo; + int modular,is_list; + LIST v,f,l,ordlist; + NODE n; + + f = (LIST)ARG0(arg); + if ( f && OID(f) == O_LIST ) + is_list = 1; + else { + n = mknode(1,f); MKLIST(l,n); f = l; + is_list = 0; + } + if ( current_option ) { + parse_gr_option(f,current_option,&v,&homo,&modular,&ord); + initd(ord); + } else + ord = dp_current_spec; + ordlist = dp_order(f,ord); + if ( !is_list ) + *rp = (Obj)BDY(BDY(ordlist)); + else + *rp = (Obj)ordlist; +} + +void Pdp_set_sugar(NODE arg,Q *rp) +{ + DP p; + Q q; + int i; + + p = (DP)ARG0(arg); + q = (Q)ARG1(arg); + if ( p && q) { + asir_assert(p,O_DP,"dp_set_sugar"); + asir_assert(q,O_N, "dp_set_sugar"); + i = QTOS(q); + if (p->sugar < i) { + p->sugar = i; + } + } + *rp = 0; +} + +void Pdp_cri1(NODE arg,Q *rp) +{ + DP p1,p2; + int *d1,*d2; + int i,n; + + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_cri1"); asir_assert(p2,O_DP,"dp_cri1"); + n = p1->nv; d1 = BDY(p1)->dl->d; d2 = BDY(p2)->dl->d; + for ( i = 0; i < n; i++ ) + if ( d1[i] > d2[i] ) + break; + *rp = i == n ? ONE : 0; +} + +void Pdp_cri2(NODE arg,Q *rp) +{ + DP p1,p2; + int *d1,*d2; + int i,n; + + p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); + asir_assert(p1,O_DP,"dp_cri2"); asir_assert(p2,O_DP,"dp_cri2"); + n = p1->nv; d1 = BDY(p1)->dl->d; d2 = BDY(p2)->dl->d; + for ( i = 0; i < n; i++ ) + if ( MIN(d1[i],d2[i]) >= 1 ) + break; + *rp = i == n ? ONE : 0; +} + +void Pdp_minp(NODE arg,LIST *rp) +{ + NODE tn,tn1,d,dd,dd0,p,tp; + LIST l,minp; + DP lcm,tlcm; + int s,ts; + + asir_assert(ARG0(arg),O_LIST,"dp_minp"); + d = BDY((LIST)ARG0(arg)); minp = (LIST)BDY(d); + p = BDY(minp); p = NEXT(NEXT(p)); lcm = (DP)BDY(p); p = NEXT(p); + if ( !ARG1(arg) ) { + s = QTOS((Q)BDY(p)); p = NEXT(p); + for ( dd0 = 0, d = NEXT(d); d; d = NEXT(d) ) { + tp = BDY((LIST)BDY(d)); tp = NEXT(NEXT(tp)); + tlcm = (DP)BDY(tp); tp = NEXT(tp); + ts = QTOS((Q)BDY(tp)); tp = NEXT(tp); + NEXTNODE(dd0,dd); + if ( ts < s ) { + BDY(dd) = (pointer)minp; + minp = (LIST)BDY(d); lcm = tlcm; s = ts; + } else if ( ts == s ) { + if ( compd(CO,lcm,tlcm) > 0 ) { + BDY(dd) = (pointer)minp; + minp = (LIST)BDY(d); lcm = tlcm; s = ts; + } else + BDY(dd) = BDY(d); + } else + BDY(dd) = BDY(d); + } + } else { + for ( dd0 = 0, d = NEXT(d); d; d = NEXT(d) ) { + tp = BDY((LIST)BDY(d)); tp = NEXT(NEXT(tp)); + tlcm = (DP)BDY(tp); + NEXTNODE(dd0,dd); + if ( compd(CO,lcm,tlcm) > 0 ) { + BDY(dd) = (pointer)minp; minp = (LIST)BDY(d); lcm = tlcm; + } else + BDY(dd) = BDY(d); + } + } + if ( dd0 ) + NEXT(dd) = 0; + MKLIST(l,dd0); MKNODE(tn,l,0); MKNODE(tn1,minp,tn); MKLIST(*rp,tn1); +} + +void Pdp_criB(NODE arg,LIST *rp) +{ + NODE d,ij,dd,ddd; + int i,j,s,n; + DP *ps; + DL ts,ti,tj,lij,tdl; + + asir_assert(ARG0(arg),O_LIST,"dp_criB"); d = BDY((LIST)ARG0(arg)); + asir_assert(ARG1(arg),O_N,"dp_criB"); s = QTOS((Q)ARG1(arg)); + asir_assert(ARG2(arg),O_VECT,"dp_criB"); ps = (DP *)BDY((VECT)ARG2(arg)); + if ( !d ) + *rp = (LIST)ARG0(arg); + else { + ts = BDY(ps[s])->dl; + n = ps[s]->nv; + NEWDL(tdl,n); + for ( dd = 0; d; d = NEXT(d) ) { + ij = BDY((LIST)BDY(d)); + i = QTOS((Q)BDY(ij)); ij = NEXT(ij); + j = QTOS((Q)BDY(ij)); ij = NEXT(ij); + lij = BDY((DP)BDY(ij))->dl; + ti = BDY(ps[i])->dl; tj = BDY(ps[j])->dl; + if ( lij->td != lcm_of_DL(n,lij,ts,tdl)->td + || !dl_equal(n,lij,tdl) + || (lij->td == lcm_of_DL(n,ti,ts,tdl)->td + && dl_equal(n,tdl,lij)) + || (lij->td == lcm_of_DL(n,tj,ts,tdl)->td + && dl_equal(n,tdl,lij)) ) { + MKNODE(ddd,BDY(d),dd); + dd = ddd; + } + } + MKLIST(*rp,dd); + } +} + +void Pdp_nelim(NODE arg,Q *rp) +{ + if ( arg ) { + asir_assert(ARG0(arg),O_N,"dp_nelim"); + dp_nelim = QTOS((Q)ARG0(arg)); + } + STOQ(dp_nelim,*rp); +} + +void Pdp_mag(NODE arg,Q *rp) +{ + DP p; + int s; + MP m; + + p = (DP)ARG0(arg); + asir_assert(p,O_DP,"dp_mag"); + if ( !p ) + *rp = 0; + else { + for ( s = 0, m = BDY(p); m; m = NEXT(m) ) + s += p_mag((P)m->c); + STOQ(s,*rp); + } +} + +extern int kara_mag; + +void Pdp_set_kara(NODE arg,Q *rp) +{ + if ( arg ) { + asir_assert(ARG0(arg),O_N,"dp_set_kara"); + kara_mag = QTOS((Q)ARG0(arg)); + } + STOQ(kara_mag,*rp); +} + +void Pdp_homo(NODE arg,DP *rp) +{ + asir_assert(ARG0(arg),O_DP,"dp_homo"); + dp_homo((DP)ARG0(arg),rp); +} + +void Pdp_dehomo(NODE arg,DP *rp) +{ + asir_assert(ARG0(arg),O_DP,"dp_dehomo"); + dp_dehomo((DP)ARG0(arg),rp); +} + +void Pdp_gr_flags(NODE arg,LIST *rp) +{ + Obj name,value; + NODE n; + + if ( arg ) { + asir_assert(ARG0(arg),O_LIST,"dp_gr_flags"); + n = BDY((LIST)ARG0(arg)); + while ( n ) { + name = (Obj)BDY(n); n = NEXT(n); + if ( !n ) + break; + else { + value = (Obj)BDY(n); n = NEXT(n); + } + dp_set_flag(name,value); + } + } + dp_make_flaglist(rp); +} + +extern int DP_Print, DP_PrintShort; + +void Pdp_gr_print(NODE arg,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 if ( !strcmp(key,"dp") ) { + /* XXX : ignore */ + } else + error("parse_gr_option : not implemented"); + } + if ( !ord_is_set ) create_order_spec(0,0,ord); + if ( !modular_is_set ) *modular = 0; + if ( !homo_is_set ) *homo = 0; +} + +void Pdp_gr_main(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(NODE arg,LIST *rp) +{ + LIST f,v; + VL vl; + int ac; + struct order_spec *ord; + + do_weyl = 0; + asir_assert(ARG0(arg),O_LIST,"dp_interreduce"); + f = (LIST)ARG0(arg); + f = remove_zero_from_list(f); + if ( !BDY(f) ) { + *rp = f; return; + } + if ( (ac = argc(arg)) == 3 ) { + asir_assert(ARG1(arg),O_LIST,"dp_interreduce"); + v = (LIST)ARG1(arg); + create_order_spec(0,ARG2(arg),&ord); + } + dp_interreduce(f,v,0,ord,rp); +} + +void Pdp_gr_f_main(NODE arg,LIST *rp) +{ + LIST f,v; + Num homo; + int m,field,t; + struct order_spec *ord; + NODE n; + + do_weyl = 0; + asir_assert(ARG0(arg),O_LIST,"dp_gr_f_main"); + asir_assert(ARG1(arg),O_LIST,"dp_gr_f_main"); + asir_assert(ARG2(arg),O_N,"dp_gr_f_main"); + f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); + f = remove_zero_from_list(f); + if ( !BDY(f) ) { + *rp = f; return; + } + homo = (Num)ARG2(arg); +#if 0 + asir_assert(ARG3(arg),O_N,"dp_gr_f_main"); + m = 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 - 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; - } - } + 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); +} - 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); +void Pdp_f4_main(NODE arg,LIST *rp) +{ + LIST f,v; + struct order_spec *ord; - 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); + 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); +} - subd(CO,t,u,rp); +/* dp_gr_checklist(list of dp) */ + +void Pdp_gr_checklist(NODE arg,LIST *rp) +{ + VECT g; + LIST dp; + NODE r; + int n; + + do_weyl = 0; + asir_assert(ARG0(arg),O_LIST,"dp_gr_checklist"); + asir_assert(ARG1(arg),O_N,"dp_gr_checklist"); + n = QTOS((Q)ARG1(arg)); + gbcheck_list(BDY((LIST)ARG0(arg)),n,&g,&dp); + r = mknode(2,g,dp); + MKLIST(*rp,r); } -void Pdp_sp_mod(arg,rp) -NODE arg; -DP *rp; +void Pdp_f4_mod_main(NODE arg,LIST *rp) { - DP p1,p2; - int mod; + LIST f,v; + int m; + struct order_spec *ord; - p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); - asir_assert(p1,O_DP,"dp_sp_mod"); asir_assert(p2,O_DP,"dp_sp_mod"); - asir_assert(ARG2(arg),O_N,"dp_sp_mod"); - mod = QTOS((Q)ARG2(arg)); - dp_sp_mod(p1,p2,mod,rp); + 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 dp_sp_mod(p1,p2,mod,rp) -DP p1,p2; -int mod; -DP *rp; +void Pdp_gr_mod_main(NODE arg,LIST *rp) { - int i,n,td; - int *w; - DL d1,d2,d; - MP m; - DP t,s,u; + LIST f,v; + Num homo; + int m; + struct order_spec *ord; - 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); + 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 Pdp_lcm(arg,rp) -NODE arg; -DP *rp; +void Pnd_f4(NODE arg,LIST *rp) { - int i,n,td; - DL d1,d2,d; - MP m; - DP p1,p2; + LIST f,v; + int m,homo,retdp,ac; + Obj val; + Q mq; + Num nhomo; + NODE node; + struct order_spec *ord; - p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); - asir_assert(p1,O_DP,"dp_lcm"); asir_assert(p2,O_DP,"dp_lcm"); - n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; - NEWDL(d,n); - for ( i = 0, td = 0; i < n; i++ ) { - d->d[i] = MAX(d1->d[i],d2->d[i]); td += d->d[i]; - } - d->td = td; - NEWMP(m); m->dl = d; m->c = (P)ONE; NEXT(m) = 0; - MKDP(n,m,*rp); (*rp)->sugar = td; /* XXX */ + do_weyl = 0; + nd_rref2 = 0; + retdp = 0; + if ( (ac = argc(arg)) == 4 ) { + asir_assert(ARG0(arg),O_LIST,"nd_f4"); + asir_assert(ARG1(arg),O_LIST,"nd_f4"); + asir_assert(ARG2(arg),O_N,"nd_f4"); + f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); + f = remove_zero_from_list(f); + if ( !BDY(f) ) { + *rp = f; return; + } + mq = (Q)ARG2(arg); + if ( mq && (PL(NM(mq)) > 1 || BD(NM(mq))[0] >= (1<<31)) ) { + node = mknode(1,mq); + Psetmod_ff(node,&val); + m = -2; + } else + m = QTOS(mq); + create_order_spec(0,ARG3(arg),&ord); + homo = 0; + if ( get_opt("homo",&val) && val ) homo = 1; + if ( get_opt("dp",&val) && val ) retdp = 1; + if ( get_opt("rref2",&val) && val ) nd_rref2 = 1; + } else if ( ac == 1 ) { + f = (LIST)ARG0(arg); + parse_gr_option(f,current_option,&v,&nhomo,&m,&ord); + homo = QTOS((Q)nhomo); + if ( get_opt("dp",&val) && val ) retdp = 1; + if ( get_opt("rref2",&val) && val ) nd_rref2 = 1; + } else + error("nd_f4 : invalid argument"); + nd_gr(f,v,m,homo,retdp,1,ord,rp); } -void Pdp_hm(arg,rp) -NODE arg; -DP *rp; +void Pnd_gr(NODE arg,LIST *rp) { - DP p; + LIST f,v; + int m,homo,retdp,ac; + Obj val; + Q mq; + Num nhomo; + NODE node; + struct order_spec *ord; - p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_hm"); - dp_hm(p,rp); + do_weyl = 0; + retdp = 0; + if ( (ac=argc(arg)) == 4 ) { + asir_assert(ARG0(arg),O_LIST,"nd_gr"); + asir_assert(ARG1(arg),O_LIST,"nd_gr"); + asir_assert(ARG2(arg),O_N,"nd_gr"); + f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); + f = remove_zero_from_list(f); + if ( !BDY(f) ) { + *rp = f; return; + } + mq = (Q)ARG2(arg); + if ( mq && (PL(NM(mq)) > 1 || BD(NM(mq))[0] >= (1<<30)) ) { + node = mknode(1,mq); + Psetmod_ff(node,&val); + m = -2; + } else + m = QTOS(mq); + create_order_spec(0,ARG3(arg),&ord); + homo = 0; + if ( get_opt("homo",&val) && val ) homo = 1; + if ( get_opt("dp",&val) && val ) retdp = 1; + } else if ( ac == 1 ) { + f = (LIST)ARG0(arg); + parse_gr_option(f,current_option,&v,&nhomo,&m,&ord); + homo = QTOS((Q)nhomo); + if ( get_opt("dp",&val) && val ) retdp = 1; + } else + error("nd_gr : invalid argument"); + nd_gr(f,v,m,homo,retdp,0,ord,rp); } -void dp_hm(p,rp) -DP p; -DP *rp; +void Pnd_gr_postproc(NODE arg,LIST *rp) { - MP m,mr; + LIST f,v; + int m,do_check; + Q mq; + Obj val; + NODE node; + struct order_spec *ord; - 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 */ - } + do_weyl = 0; + asir_assert(ARG0(arg),O_LIST,"nd_gr"); + asir_assert(ARG1(arg),O_LIST,"nd_gr"); + asir_assert(ARG2(arg),O_N,"nd_gr"); + f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); + f = remove_zero_from_list(f); + if ( !BDY(f) ) { + *rp = f; return; + } + mq = (Q)ARG2(arg); + if ( mq && (PL(NM(mq)) > 1 || BD(NM(mq))[0] >= (1<<30)) ) { + node = mknode(1,mq); + Psetmod_ff(node,&val); + m = -2; + } else + m = QTOS(mq); + create_order_spec(0,ARG3(arg),&ord); + do_check = ARG4(arg) ? 1 : 0; + nd_gr_postproc(f,v,m,ord,do_check,rp); } -void Pdp_ht(arg,rp) -NODE arg; -DP *rp; +void Pnd_gr_recompute_trace(NODE arg,LIST *rp) { - DP p; - MP m,mr; + LIST f,v,tlist; + int m; + struct order_spec *ord; - p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_ht"); - if ( !p ) - *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 */ - } + 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); } -void Pdp_hc(arg,rp) -NODE arg; -P *rp; +Obj nd_btog_one(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,int pos); +Obj nd_btog(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist); + +void Pnd_btog(NODE arg,Obj *rp) { - asir_assert(ARG0(arg),O_DP,"dp_hc"); - if ( !ARG0(arg) ) - *rp = 0; - else - *rp = BDY((DP)ARG0(arg))->c; + LIST f,v,tlist; + Q mq; + int m,ac,pos; + struct order_spec *ord; + NODE node; + pointer val; + + do_weyl = 0; + asir_assert(ARG0(arg),O_LIST,"nd_btog"); + asir_assert(ARG1(arg),O_LIST,"nd_btog"); + asir_assert(ARG2(arg),O_N,"nd_btog"); + f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); + mq = (Q)ARG2(arg); + if ( mq && (PL(NM(mq)) > 1 || BD(NM(mq))[0] >= (1<<31)) ) { + node = mknode(1,mq); + Psetmod_ff(node,&val); + m = -2; + } else + m = QTOS(mq); + create_order_spec(0,ARG3(arg),&ord); + tlist = (LIST)ARG4(arg); + if ( (ac = argc(arg)) == 6 ) { + asir_assert(ARG5(arg),O_N,"nd_btog"); + pos = 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 Pdp_rest(arg,rp) -NODE arg; -DP *rp; +void Pnd_weyl_gr_postproc(NODE arg,LIST *rp) { - asir_assert(ARG0(arg),O_DP,"dp_rest"); - if ( !ARG0(arg) ) - *rp = 0; - else - dp_rest((DP)ARG0(arg),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 dp_rest(p,rp) -DP p,*rp; +void Pnd_gr_trace(NODE arg,LIST *rp) { - MP m; + LIST f,v; + int m,homo,ac; + Num nhomo; + struct order_spec *ord; - m = BDY(p); - if ( !NEXT(m) ) - *rp = 0; - else { - MKDP(p->nv,NEXT(m),*rp); - if ( *rp ) - (*rp)->sugar = p->sugar; - } + do_weyl = 0; + if ( (ac = argc(arg)) == 5 ) { + asir_assert(ARG0(arg),O_LIST,"nd_gr_trace"); + asir_assert(ARG1(arg),O_LIST,"nd_gr_trace"); + asir_assert(ARG2(arg),O_N,"nd_gr_trace"); + asir_assert(ARG3(arg),O_N,"nd_gr_trace"); + f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); + f = remove_zero_from_list(f); + if ( !BDY(f) ) { + *rp = f; return; + } + homo = QTOS((Q)ARG2(arg)); + m = QTOS((Q)ARG3(arg)); + create_order_spec(0,ARG4(arg),&ord); + } else if ( ac == 1 ) { + f = (LIST)ARG0(arg); + parse_gr_option(f,current_option,&v,&nhomo,&m,&ord); + homo = QTOS((Q)nhomo); + } else + error("nd_gr_trace : invalid argument"); + nd_gr_trace(f,v,m,homo,0,ord,rp); } -void Pdp_td(arg,rp) -NODE arg; -Q *rp; +void Pnd_f4_trace(NODE arg,LIST *rp) { - DP p; + LIST f,v; + int m,homo,ac; + Num nhomo; + struct order_spec *ord; - p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_td"); - if ( !p ) - *rp = 0; - else - STOQ(BDY(p)->dl->td,*rp); + do_weyl = 0; + if ( (ac = argc(arg))==5 ) { + asir_assert(ARG0(arg),O_LIST,"nd_f4_trace"); + asir_assert(ARG1(arg),O_LIST,"nd_f4_trace"); + asir_assert(ARG2(arg),O_N,"nd_f4_trace"); + asir_assert(ARG3(arg),O_N,"nd_f4_trace"); + f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); + f = remove_zero_from_list(f); + if ( !BDY(f) ) { + *rp = f; return; + } + homo = QTOS((Q)ARG2(arg)); + m = QTOS((Q)ARG3(arg)); + create_order_spec(0,ARG4(arg),&ord); + } else if ( ac == 1 ) { + f = (LIST)ARG0(arg); + parse_gr_option(f,current_option,&v,&nhomo,&m,&ord); + homo = QTOS((Q)nhomo); + } else + error("nd_gr_trace : invalid argument"); + nd_gr_trace(f,v,m,homo,1,ord,rp); } -void Pdp_sugar(arg,rp) -NODE arg; -Q *rp; +void Pnd_weyl_gr(NODE arg,LIST *rp) { - DP p; + LIST f,v; + int m,homo,retdp,ac; + Obj val; + Num nhomo; + struct order_spec *ord; - p = (DP)ARG0(arg); asir_assert(p,O_DP,"dp_sugar"); - if ( !p ) - *rp = 0; - else - STOQ(p->sugar,*rp); + do_weyl = 1; + retdp = 0; + if ( (ac = argc(arg)) == 4 ) { + asir_assert(ARG0(arg),O_LIST,"nd_weyl_gr"); + asir_assert(ARG1(arg),O_LIST,"nd_weyl_gr"); + asir_assert(ARG2(arg),O_N,"nd_weyl_gr"); + f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); + f = remove_zero_from_list(f); + if ( !BDY(f) ) { + *rp = f; do_weyl = 0; return; + } + m = QTOS((Q)ARG2(arg)); + create_order_spec(0,ARG3(arg),&ord); + homo = 0; + if ( get_opt("homo",&val) && val ) homo = 1; + if ( get_opt("dp",&val) && val ) retdp = 1; + } else if ( ac == 1 ) { + f = (LIST)ARG0(arg); + parse_gr_option(f,current_option,&v,&nhomo,&m,&ord); + homo = QTOS((Q)nhomo); + if ( get_opt("dp",&val) && val ) retdp = 1; + } else + error("nd_weyl_gr : invalid argument"); + nd_gr(f,v,m,homo,retdp,0,ord,rp); + do_weyl = 0; } -void Pdp_cri1(arg,rp) -NODE arg; -Q *rp; +void Pnd_weyl_gr_trace(NODE arg,LIST *rp) { - DP p1,p2; - int *d1,*d2; - int i,n; + LIST f,v; + int m,homo,ac; + Num nhomo; + struct order_spec *ord; - p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); - asir_assert(p1,O_DP,"dp_cri1"); asir_assert(p2,O_DP,"dp_cri1"); - n = p1->nv; d1 = BDY(p1)->dl->d; d2 = BDY(p2)->dl->d; - for ( i = 0; i < n; i++ ) - if ( d1[i] > d2[i] ) - break; - *rp = i == n ? ONE : 0; + do_weyl = 1; + if ( (ac = argc(arg)) == 5 ) { + asir_assert(ARG0(arg),O_LIST,"nd_weyl_gr_trace"); + asir_assert(ARG1(arg),O_LIST,"nd_weyl_gr_trace"); + asir_assert(ARG2(arg),O_N,"nd_weyl_gr_trace"); + asir_assert(ARG3(arg),O_N,"nd_weyl_gr_trace"); + f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); + f = remove_zero_from_list(f); + if ( !BDY(f) ) { + *rp = f; do_weyl = 0; return; + } + homo = QTOS((Q)ARG2(arg)); + m = QTOS((Q)ARG3(arg)); + create_order_spec(0,ARG4(arg),&ord); + } else if ( ac == 1 ) { + f = (LIST)ARG0(arg); + parse_gr_option(f,current_option,&v,&nhomo,&m,&ord); + homo = QTOS((Q)nhomo); + } else + error("nd_weyl_gr_trace : invalid argument"); + nd_gr_trace(f,v,m,homo,0,ord,rp); + do_weyl = 0; } -void Pdp_cri2(arg,rp) -NODE arg; -Q *rp; +void Pnd_nf(NODE arg,Obj *rp) { - DP p1,p2; - int *d1,*d2; - int i,n; + Obj f; + LIST g,v; + struct order_spec *ord; - p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); - asir_assert(p1,O_DP,"dp_cri2"); asir_assert(p2,O_DP,"dp_cri2"); - n = p1->nv; d1 = BDY(p1)->dl->d; d2 = BDY(p2)->dl->d; - for ( i = 0; i < n; i++ ) - if ( MIN(d1[i],d2[i]) >= 1 ) - break; - *rp = i == n ? ONE : 0; + 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 Pdp_minp(arg,rp) -NODE arg; -LIST *rp; +void Pnd_weyl_nf(NODE arg,Obj *rp) { - NODE tn,tn1,d,dd,dd0,p,tp; - LIST l,minp; - DP lcm,tlcm; - int s,ts; + Obj f; + LIST g,v; + struct order_spec *ord; - asir_assert(ARG0(arg),O_LIST,"dp_minp"); - d = BDY((LIST)ARG0(arg)); minp = (LIST)BDY(d); - p = BDY(minp); p = NEXT(NEXT(p)); lcm = (DP)BDY(p); p = NEXT(p); - if ( !ARG1(arg) ) { - s = QTOS((Q)BDY(p)); p = NEXT(p); - for ( dd0 = 0, d = NEXT(d); d; d = NEXT(d) ) { - tp = BDY((LIST)BDY(d)); tp = NEXT(NEXT(tp)); - tlcm = (DP)BDY(tp); tp = NEXT(tp); - ts = QTOS((Q)BDY(tp)); tp = NEXT(tp); - NEXTNODE(dd0,dd); - if ( ts < s ) { - BDY(dd) = (pointer)minp; - minp = (LIST)BDY(d); lcm = tlcm; s = ts; - } else if ( ts == s ) { - if ( compd(CO,lcm,tlcm) > 0 ) { - BDY(dd) = (pointer)minp; - minp = (LIST)BDY(d); lcm = tlcm; s = ts; - } else - BDY(dd) = BDY(d); - } else - BDY(dd) = BDY(d); - } - } else { - for ( dd0 = 0, d = NEXT(d); d; d = NEXT(d) ) { - tp = BDY((LIST)BDY(d)); tp = NEXT(NEXT(tp)); - tlcm = (DP)BDY(tp); - NEXTNODE(dd0,dd); - if ( compd(CO,lcm,tlcm) > 0 ) { - BDY(dd) = (pointer)minp; minp = (LIST)BDY(d); lcm = tlcm; - } else - BDY(dd) = BDY(d); - } - } - if ( dd0 ) - NEXT(dd) = 0; - MKLIST(l,dd0); MKNODE(tn,l,0); MKNODE(tn1,minp,tn); MKLIST(*rp,tn1); + 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); } -void Pdp_criB(arg,rp) -NODE arg; -LIST *rp; +/* for Weyl algebra */ + +void Pdp_weyl_gr_main(NODE arg,LIST *rp) { - NODE d,ij,dd,ddd; - int i,j,s,n; - DP *ps; - DL ts,ti,tj,lij,tdl; + LIST f,v; + Num homo; + Q m; + int modular,ac; + struct order_spec *ord; - asir_assert(ARG0(arg),O_LIST,"dp_criB"); d = BDY((LIST)ARG0(arg)); - asir_assert(ARG1(arg),O_N,"dp_criB"); s = QTOS((Q)ARG1(arg)); - asir_assert(ARG2(arg),O_VECT,"dp_criB"); ps = (DP *)BDY((VECT)ARG2(arg)); - if ( !d ) - *rp = (LIST)ARG0(arg); - else { - ts = BDY(ps[s])->dl; - n = ps[s]->nv; - NEWDL(tdl,n); - for ( dd = 0; d; d = NEXT(d) ) { - ij = BDY((LIST)BDY(d)); - i = QTOS((Q)BDY(ij)); ij = NEXT(ij); - j = QTOS((Q)BDY(ij)); ij = NEXT(ij); - lij = BDY((DP)BDY(ij))->dl; - ti = BDY(ps[i])->dl; tj = BDY(ps[j])->dl; - if ( lij->td != lcm_of_DL(n,lij,ts,tdl)->td - || !dl_equal(n,lij,tdl) - || (lij->td == lcm_of_DL(n,ti,ts,tdl)->td - && dl_equal(n,tdl,lij)) - || (lij->td == lcm_of_DL(n,tj,ts,tdl)->td - && dl_equal(n,tdl,lij)) ) { - MKNODE(ddd,BDY(d),dd); - dd = ddd; - } - } - MKLIST(*rp,dd); - } + + 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; } -DL lcm_of_DL(nv,dl1,dl2,dl) -int nv; -DL dl1,dl2; -register DL dl; +void Pdp_weyl_gr_f_main(NODE arg,LIST *rp) { - register int n, *d1, *d2, *d, td; + LIST f,v; + Num homo; + struct order_spec *ord; - 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; + 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; } -int dl_equal(nv,dl1,dl2) -int nv; -DL dl1, dl2; +void Pdp_weyl_f4_main(NODE arg,LIST *rp) { - register int *d1, *d2, n; + LIST f,v; + struct order_spec *ord; - 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; + 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_nelim(arg,rp) -NODE arg; -Q *rp; +void Pdp_weyl_f4_mod_main(NODE arg,LIST *rp) { - if ( arg ) { - asir_assert(ARG0(arg),O_N,"dp_nelim"); - dp_nelim = QTOS((Q)ARG0(arg)); - } - STOQ(dp_nelim,*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_mag(arg,rp) -NODE arg; -Q *rp; +void Pdp_weyl_gr_mod_main(NODE arg,LIST *rp) { - DP p; - int s; - MP m; + LIST f,v; + Num homo; + int m; + struct order_spec *ord; - p = (DP)ARG0(arg); - asir_assert(p,O_DP,"dp_mag"); - if ( !p ) - *rp = 0; - else { - for ( s = 0, m = BDY(p); m; m = NEXT(m) ) - s += p_mag(m->c); - STOQ(s,*rp); - } + 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; } -extern int kara_mag; +VECT current_dl_weight_vector_obj; +int *current_dl_weight_vector; +int dp_negative_weight; -void Pdp_set_kara(arg,rp) -NODE arg; -Q *rp; +void Pdp_set_weight(NODE arg,VECT *rp) { - if ( arg ) { - asir_assert(ARG0(arg),O_N,"dp_set_kara"); - kara_mag = QTOS((Q)ARG0(arg)); - } - STOQ(kara_mag,*rp); + VECT v; + int i,n; + NODE node; + + if ( !arg ) + *rp = current_dl_weight_vector_obj; + else if ( !ARG0(arg) ) { + current_dl_weight_vector_obj = 0; + current_dl_weight_vector = 0; + dp_negative_weight = 0; + *rp = 0; + } else { + if ( OID(ARG0(arg)) != O_VECT && OID(ARG0(arg)) != O_LIST ) + error("dp_set_weight : invalid argument"); + if ( OID(ARG0(arg)) == O_VECT ) + v = (VECT)ARG0(arg); + else { + node = (NODE)BDY((LIST)ARG0(arg)); + n = length(node); + MKVECT(v,n); + for ( i = 0; i < n; i++, node = NEXT(node) ) + BDY(v)[i] = BDY(node); + } + current_dl_weight_vector_obj = v; + n = v->len; + current_dl_weight_vector = (int *)CALLOC(n,sizeof(int)); + for ( i = 0; i < n; i++ ) + current_dl_weight_vector[i] = QTOS((Q)v->body[i]); + for ( i = 0; i < n; i++ ) + if ( current_dl_weight_vector[i] < 0 ) break; + if ( i < n ) + dp_negative_weight = 1; + else + dp_negative_weight = 0; + *rp = v; + } } -void Pdp_homo(arg,rp) -NODE arg; -DP *rp; +VECT current_module_weight_vector_obj; +int *current_module_weight_vector; + +void Pdp_set_module_weight(NODE arg,VECT *rp) { - asir_assert(ARG0(arg),O_DP,"dp_homo"); - dp_homo((DP)ARG0(arg),rp); + VECT v; + int i,n; + NODE node; + + if ( !arg ) + *rp = current_module_weight_vector_obj; + else if ( !ARG0(arg) ) { + current_module_weight_vector_obj = 0; + current_module_weight_vector = 0; + *rp = 0; + } else { + if ( OID(ARG0(arg)) != O_VECT && OID(ARG0(arg)) != O_LIST ) + error("dp_module_set_weight : invalid argument"); + if ( OID(ARG0(arg)) == O_VECT ) + v = (VECT)ARG0(arg); + else { + node = (NODE)BDY((LIST)ARG0(arg)); + n = length(node); + MKVECT(v,n); + for ( i = 0; i < n; i++, node = NEXT(node) ) + BDY(v)[i] = BDY(node); + } + current_module_weight_vector_obj = v; + n = v->len; + current_module_weight_vector = (int *)CALLOC(n,sizeof(int)); + for ( i = 0; i < n; i++ ) + current_module_weight_vector[i] = QTOS((Q)v->body[i]); + *rp = v; + } } -void dp_homo(p,rp) -DP p; -DP *rp; +extern Obj current_top_weight; +extern Obj nd_top_weight; + +void Pdp_set_top_weight(NODE arg,Obj *rp) { - MP m,mr,mr0; - int i,n,nv,td; - DL dl,dlh; + VECT v; + MAT m; + Obj obj; + int i,j,n,id,row,col; + Q *mi; + NODE node; - if ( !p ) - *rp = 0; - else { - n = p->nv; nv = n + 1; - m = BDY(p); td = sugard(m); - for ( mr0 = 0; m; m = NEXT(m) ) { - NEXTMP(mr0,mr); mr->c = m->c; - dl = m->dl; - mr->dl = dlh = (DL)MALLOC_ATOMIC((nv+1)*sizeof(int)); - dlh->td = td; - for ( i = 0; i < n; i++ ) - dlh->d[i] = dl->d[i]; - dlh->d[n] = td - dl->td; - } - NEXT(mr) = 0; MKDP(nv,mr0,*rp); (*rp)->sugar = p->sugar; - } + if ( !arg ) + *rp = current_top_weight; + else if ( !ARG0(arg) ) { + reset_top_weight(); + *rp = 0; + } else { + id = OID(ARG0(arg)); + if ( id != O_VECT && id != O_MAT && id != O_LIST ) + error("dp_set_top_weight : invalid argument"); + if ( id == O_LIST ) { + node = (NODE)BDY((LIST)ARG0(arg)); + n = length(node); + MKVECT(v,n); + for ( i = 0; i < n; i++, node = NEXT(node) ) + BDY(v)[i] = BDY(node); + obj = (Obj)v; + } else + obj = ARG0(arg); + if ( OID(obj) == O_VECT ) { + v = (VECT)obj; + for ( i = 0; i < v->len; i++ ) + if ( !INT(BDY(v)[i]) || (BDY(v)[i] && SGN((Q)BDY(v)[i]) < 0) ) + error("dp_set_top_weight : each element must be a non-negative integer"); + } else { + m = (MAT)obj; row = m->row; col = m->col; + for ( i = 0; i < row; i++ ) + for ( j = 0, mi = (Q *)BDY(m)[i]; j < col; j++ ) + if ( !INT(mi[j]) || (mi[j] && SGN((Q)mi[j]) < 0) ) + error("dp_set_top_weight : each element must be a non-negative integer"); + } + current_top_weight = obj; + nd_top_weight = obj; + *rp = current_top_weight; + } } -void Pdp_dehomo(arg,rp) -NODE arg; -DP *rp; +LIST get_denomlist(); + +void Pdp_get_denomlist(LIST *rp) { - asir_assert(ARG0(arg),O_DP,"dp_dehomo"); - dp_dehomo((DP)ARG0(arg),rp); + *rp = get_denomlist(); } -void dp_dehomo(p,rp) -DP p; -DP *rp; +static VECT current_weyl_weight_vector_obj; +int *current_weyl_weight_vector; + +void Pdp_weyl_set_weight(NODE arg,VECT *rp) { - MP m,mr,mr0; - int i,n,nv; - DL dl,dlh; + VECT v; + NODE node; + int i,n; - if ( !p ) - *rp = 0; - else { - n = p->nv; nv = n - 1; - m = BDY(p); - for ( mr0 = 0; m; m = NEXT(m) ) { - NEXTMP(mr0,mr); mr->c = m->c; - dlh = m->dl; - mr->dl = dl = (DL)MALLOC_ATOMIC((nv+1)*sizeof(int)); - 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 ( !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; + } } -int dp_nt(p) -DP p; +NODE mono_raddec(NODE ideal); + +void Pdp_mono_raddec(NODE arg,LIST *rp) { - int i; - MP m; + NODE ideal,rd,t,t1,r,r1,u; + VL vl0,vl; + int nv,i,bpi; + int *s; + DP dp; + P *v; + LIST l; - if ( !p ) - return 0; - else { - for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ ); - return i; - } + ideal = BDY((LIST)ARG0(arg)); + if ( !ideal ) *rp = (LIST)ARG0(arg); + else { + t = BDY((LIST)ARG1(arg)); + nv = length(t); + v = (P *)MALLOC(nv*sizeof(P)); + for ( vl0 = 0, i = 0; t; t = NEXT(t), i++ ) { + NEXTVL(vl0,vl); VR(vl) = VR((P)BDY(t)); + MKV(VR(vl),v[i]); + } + if ( vl0 ) NEXT(vl) = 0; + for ( t = 0, r = ideal; r; r = NEXT(r) ) { + ptod(CO,vl0,BDY(r),&dp); MKNODE(t1,dp,t); t = t1; + } + rd = mono_raddec(t); + r = 0; + bpi = (sizeof(int)/sizeof(char))*8; + for ( u = rd; u; u = NEXT(u) ) { + s = (int *)BDY(u); + for ( i = nv-1, t = 0; i >= 0; i-- ) + if ( s[i/bpi]&(1<<(i%bpi)) ) { + MKNODE(t1,v[i],t); t = t1; + } + MKLIST(l,t); MKNODE(r1,l,r); r = r1; + } + MKLIST(*rp,r); + } +} + +void Pdp_mono_reduce(NODE arg,LIST *rp) +{ + NODE t,t0,t1,r0,r; + int i,n; + DP m; + DP *a; + + t0 = BDY((LIST)ARG0(arg)); + t1 = BDY((LIST)ARG1(arg)); + n = length(t0); + a = (DP *)MALLOC(n*sizeof(DP)); + for ( i = 0; i < n; i++, t0 = NEXT(t0) ) a[i] = (DP)BDY(t0); + for ( t = t1; t; t = NEXT(t) ) { + m = (DP)BDY(t); + for ( i = 0; i < n; i++ ) + if ( a[i] && dp_redble(a[i],m) ) a[i] = 0; + } + for ( i = n-1, r0 = 0; i >= 0; i-- ) + if ( a[i] ) { NEXTNODE(r0,r); BDY(r) = a[i]; } + if ( r0 ) NEXT(r) = 0; + MKLIST(*rp,r0); +} + +#define BLEN (8*sizeof(unsigned long)) + +void showmat2(unsigned long **a,int row,int col) +{ + int i,j; + + for ( i = 0; i < row; i++, putchar('\n') ) + for ( j = 0; j < col; j++ ) + if ( a[i][j/BLEN] & (1L<<(j%BLEN)) ) putchar('1'); + else putchar('0'); +} + +int rref2(unsigned long **a,int row,int col) +{ + int i,j,k,l,s,wcol,wj; + unsigned long bj; + unsigned long *ai,*ak,*as,*t; + int *pivot; + + wcol = (col+BLEN-1)/BLEN; + pivot = (int *)MALLOC_ATOMIC(row*sizeof(int)); + i = 0; + for ( j = 0; j < col; j++ ) { + wj = j/BLEN; bj = 1L<<(j%BLEN); + for ( k = i; k < row; k++ ) + if ( a[k][wj] & bj ) break; + if ( k == row ) continue; + pivot[i] = j; + if ( k != i ) { + t = a[i]; a[i] = a[k]; a[k] = t; + } + ai = a[i]; + for ( k = i+1; k < row; k++ ) { + ak = a[k]; + if ( ak[wj] & bj ) { + for ( l = wj; l < wcol; l++ ) + ak[l] ^= ai[l]; + } + } + i++; + } + for ( k = i-1; k >= 0; k-- ) { + j = pivot[k]; wj = j/BLEN; bj = 1L<<(j%BLEN); + ak = a[k]; + for ( s = 0; s < k; s++ ) { + as = a[s]; + if ( as[wj] & bj ) { + for ( l = wj; l < wcol; l++ ) + as[l] ^= ak[l]; + } + } + } + return i; +} + +void Pdp_rref2(NODE arg,VECT *rp) +{ + VECT f,term,ret; + int row,col,wcol,size,nv,i,j,rank,td; + unsigned long **mat; + unsigned long *v; + DL d; + DL *t; + DP dp; + MP m,m0; + + f = (VECT)ARG0(arg); + row = f->len; + term = (VECT)ARG1(arg); + col = term->len; + mat = (unsigned long **)MALLOC(row*sizeof(unsigned long *)); + size = sizeof(unsigned long)*((col+BLEN-1)/BLEN); + nv = ((DP)term->body[0])->nv; + t = (DL *)MALLOC(col*sizeof(DL)); + for ( i = 0; i < col; i++ ) t[i] = BDY((DP)BDY(term)[i])->dl; + for ( i = 0; i < row; i++ ) { + v = mat[i] = (unsigned long *)MALLOC_ATOMIC_IGNORE_OFF_PAGE(size); + bzero(v,size); + for ( j = 0, m = BDY((DP)BDY(f)[i]); m; m = NEXT(m) ) { + d = m->dl; + for ( ; !dl_equal(nv,d,t[j]); j++ ); + v[j/BLEN] |= 1L <<(j%BLEN); + } + } + rank = rref2(mat,row,col); + MKVECT(ret,rank); + *rp = ret; + for ( i = 0; i < rank; i++ ) { + v = mat[i]; + m0 = 0; + td = 0; + for ( j = 0; j < col; j++ ) { + if ( v[j/BLEN] & (1L<<(j%BLEN)) ) { + NEXTMP(m0,m); + m->dl = t[j]; + m->c = (Obj)ONE; + td = MAX(td,m->dl->td); + } + } + NEXT(m) = 0; + MKDP(nv,m0,dp); + dp->sugar = td; + BDY(ret)[i] = (pointer)dp; + } +} + +#define HDL(f) (BDY(f)->dl) + +NODE sumi_criB(int nv,NODE d,DP *f,int m) +{ + LIST p; + NODE r0,r; + int p0,p1; + DL p2,lcm; + + NEWDL(lcm,nv); + r0 = 0; + for ( ; d; d = NEXT(d) ) { + p = (LIST)BDY(d); + p0 = QTOS((Q)ARG0(BDY(p))); + p1 = QTOS((Q)ARG1(BDY(p))); + p2 = HDL((DP)ARG2(BDY(p))); + if(!_dl_redble(HDL((DP)f[m]),p2,nv) || + dl_equal(nv,lcm_of_DL(nv,HDL(f[p0]),HDL(f[m]),lcm),p2) || + dl_equal(nv,lcm_of_DL(nv,HDL(f[p1]),HDL(f[m]),lcm),p2) ) { + NEXTNODE(r0,r); + BDY(r) = p; + } + } + if ( r0 ) NEXT(r) = 0; + return r0; +} + +NODE sumi_criFMD(int nv,DP *f,int m) +{ + DL *a; + DL l1,dl1,dl2; + int i,j,k,k2; + NODE r,r1,nd; + MP mp; + DP u; + Q iq,mq; + LIST list; + + /* a[i] = lcm(LT(f[i]),LT(f[m])) */ + a = (DL *)ALLOCA(m*sizeof(DL)); + for ( i = 0; i < m; i++ ) { + a[i] = lcm_of_DL(nv,HDL(f[i]),HDL(f[m]),0); + } + r = 0; + for( i = 0; i < m; i++) { + l1 = a[i]; + if ( !l1 ) continue; + /* Tkm = Tim (kd[k2] && dl2->d[k2] ) break; + if ( k2 < nv ) { + NEWMP(mp); mp->dl = l1; C(mp) = (Obj)ONE; + NEXT(mp) = 0; MKDP(nv,mp,u); u->sugar = l1->td; + STOQ(i,iq); STOQ(m,mq); + nd = mknode(3,iq,mq,u); + MKLIST(list,nd); + MKNODE(r1,list,r); + r = r1; + } + } + } + } + return r; +} + +LIST sumi_updatepairs(LIST d,DP *f,int m) +{ + NODE old,new,t; + LIST l; + int nv; + + nv = f[0]->nv; + old = sumi_criB(nv,BDY(d),f,m); + new = sumi_criFMD(nv,f,m); + if ( !new ) new = old; + else { + for ( t = new ; NEXT(t); t = NEXT(t) ); + NEXT(t) = old; + } + MKLIST(l,new); + return l; +} + +VECT ltov(LIST l) +{ + NODE n; + int i,len; + VECT v; + + n = BDY(l); + len = length(n); + MKVECT(v,len); + for ( i = 0; i < len; i++, n = NEXT(n) ) + BDY(v)[i] = BDY(n); + return v; +} + +DL subdl(int nv,DL d1,DL d2) +{ + int i; + DL d; + + NEWDL(d,nv); + d->td = d1->td-d2->td; + for ( i = 0; i < nv; i++ ) + d->d[i] = d1->d[i]-d2->d[i]; + return d; +} + +DP dltodp(int nv,DL d) +{ + MP mp; + DP dp; + + NEWMP(mp); mp->dl = d; C(mp) = (Obj)ONE; + NEXT(mp) = 0; MKDP(nv,mp,dp); dp->sugar = d->td; + return dp; +} + +LIST sumi_simplify(int nv,DL t,DP p,NODE f2,int simp) +{ + DL d,h,hw; + DP u,w,dp; + int n,i,last; + LIST *v; + LIST list; + NODE s,r; + + d = t; u = p; + /* only the last history is used */ + if ( f2 && simp && t->td != 0 ) { + adddl(nv,t,HDL(p),&h); + n = length(f2); + last = 1; + if ( simp > 1 ) last = n; + v = (LIST *)ALLOCA(n*sizeof(LIST)); + for ( r = f2, i = 0; r; r = NEXT(r), i++ ) v[n-i-1] = BDY(r); + for ( i = 0; i < last; i++ ) { + for ( s = BDY((LIST)v[i]); s; s = NEXT(s) ) { + w = (DP)BDY(s); hw = HDL(w); + if ( _dl_redble(hw,h,nv) ) { + u = w; + d = subdl(nv,h,hw); + goto fin; + } + } + } + } +fin: + dp = dltodp(nv,d); + r = mknode(2,dp,u); + MKLIST(list,r); + return list; +} + +LIST sumi_symbolic(NODE l,int q,NODE f2,DP *g,int simp) +{ + int nv; + NODE t,r; + NODE f0,f,fd0,fd,done0,done,red0,red; + DL h,d; + DP mul; + int m; + LIST tp,l0,l1,l2,l3,list; + VECT v0,v1,v2,v3; + + nv = ((DP)BDY(l))->nv; + t = 0; + + f0 = 0; fd0 = 0; done0 = 0; red0 = 0; + + for ( ; l; l = NEXT(l) ) { + t = symb_merge(t,dp_dllist((DP)BDY(l)),nv); + NEXTNODE(fd0,fd); BDY(fd) = BDY(l); + } + + while ( t ) { + h = (DL)BDY(t); + NEXTNODE(done0,done); BDY(done) = dltodp(nv,h); + t = NEXT(t); + for(m = 0; m < q; m++) + if ( _dl_redble(HDL(g[m]),h,nv) ) break; + if ( m == q ) { + } else { + d = subdl(nv,h,HDL(g[m])); + tp = sumi_simplify(nv,d,g[m],f2,simp); + + muldm(CO,ARG1(BDY(tp)),BDY((DP)ARG0(BDY(tp))),&mul); + t = symb_merge(t,NEXT(dp_dllist(mul)),nv); + + NEXTNODE(f0,f); BDY(f) = tp; + NEXTNODE(fd0,fd); BDY(fd) = mul; + NEXTNODE(red0,red); BDY(red) = mul; + } + } + if ( fd0 ) NEXT(fd) = 0; MKLIST(l0,fd0); + v0 = ltov(l0); + if ( done0 ) NEXT(done) = 0; MKLIST(l1,done0); + v1 = ltov(l1); + if ( f0 ) NEXT(f) = 0; MKLIST(l2,f0); + v2 = ltov(l2); + if ( red0 ) NEXT(red) = 0; MKLIST(l3,red0); + v3 = ltov(l3); + r = mknode(4,v0,v1,v2,v3); + MKLIST(list,r); + return list; +} + +void Psumi_symbolic(NODE arg,LIST *rp) +{ + NODE l,f2; + DP *g; + int q,simp; + + l = BDY((LIST)ARG0(arg)); + q = QTOS((Q)ARG1(arg)); + f2 = BDY((LIST)ARG2(arg)); + g = (DP *)BDY((VECT)ARG3(arg)); + simp = QTOS((Q)ARG4(arg)); + *rp = sumi_symbolic(l,q,f2,g,simp); +} + +void Psumi_updatepairs(NODE arg,LIST *rp) +{ + LIST d,l; + DP *f; + int m; + + d = (LIST)ARG0(arg); + f = (DP *)BDY((VECT)ARG1(arg)); + m = QTOS((Q)ARG2(arg)); + *rp = sumi_updatepairs(d,f,m); +} + +LIST remove_zero_from_list(LIST l) +{ + NODE n,r0,r; + LIST rl; + + asir_assert(l,O_LIST,"remove_zero_from_list"); + n = BDY(l); + for ( r0 = 0; n; n = NEXT(n) ) + if ( BDY(n) ) { + NEXTNODE(r0,r); + BDY(r) = BDY(n); + } + if ( r0 ) + NEXT(r) = 0; + MKLIST(rl,r0); + return rl; +} + +int get_field_type(P p) +{ + int type,t; + DCP dc; + + if ( !p ) + return 0; + else if ( NUM(p) ) + return NID((Num)p); + else { + type = 0; + for ( dc = DC(p); dc; dc = NEXT(dc) ) { + t = get_field_type(COEF(dc)); + if ( !t ) + continue; + if ( t < 0 ) + return t; + if ( !type ) + type = t; + else if ( t != type ) + return -1; + } + return type; + } +} + +void Pdpv_ord(NODE arg,Obj *rp) +{ + int ac,id; + LIST shift; + + ac = argc(arg); + if ( ac ) { + id = 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; +} + +extern int dpm_ispot; + +void Pdpm_ord(NODE arg,LIST *rp) +{ + Q q; + NODE nd; + struct order_spec *spec; + + if ( arg ) { + nd = BDY((LIST)ARG0(arg)); + if ( !create_order_spec(0,(Obj)ARG1(nd),&spec) ) + error("dpm_ord : invalid order specification"); + initdpm(spec,QTOS((Q)ARG0(nd))); + } + STOQ(dpm_ispot,q); + nd = mknode(2,q,dp_current_spec->obj); + MKLIST(*rp,nd); +} + +void Pdpm_hm(NODE arg,DPM *rp) +{ + DPM p; + + p = (DPM)ARG0(arg); asir_assert(p,O_DPM,"dpm_hm"); + dpm_hm(p,rp); +} + +void Pdpm_ht(NODE arg,DPM *rp) +{ + DPM p; + + p = (DPM)ARG0(arg); asir_assert(p,O_DPM,"dp_ht"); + dpm_ht(p,rp); +} + +void Pdpm_hc(NODE arg,Obj *rp) +{ + asir_assert(ARG0(arg),O_DPM,"dpm_hc"); + if ( !ARG0(arg) ) + *rp = 0; + else + *rp = BDY((DPM)ARG0(arg))->c; +} + + +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 = (P)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+(idl->td+(i= 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+(idl->td+(i 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; }