version 1.65, 2006/10/12 08:20:37 |
version 1.94, 2015/01/13 00:54:54 |
|
|
* non-exclusive and royalty-free license to use, copy, modify and |
* non-exclusive and royalty-free license to use, copy, modify and |
* redistribute, solely for non-commercial and non-profit purposes, the |
* redistribute, solely for non-commercial and non-profit purposes, the |
* computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and |
* computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and |
* conditions of this Agreement. For the avoidance of doubt, you acquire |
* conditions of this Agreement. For the avoidance of doubt, you acquire * only a limited right to use the SOFTWARE hereunder, and FLL or any |
* only a limited right to use the SOFTWARE hereunder, and FLL or any |
|
* third party developer retains all rights, including but not limited to |
* third party developer retains all rights, including but not limited to |
* copyrights, in and to the SOFTWARE. |
* copyrights, in and to the SOFTWARE. |
* |
* |
|
|
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/dp.c,v 1.64 2006/06/13 04:13:26 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/dp.c,v 1.93 2014/10/10 09:02:24 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
Line 57 extern int dp_order_pair_length; |
|
Line 56 extern int dp_order_pair_length; |
|
extern struct order_pair *dp_order_pair; |
extern struct order_pair *dp_order_pair; |
extern struct order_spec *dp_current_spec; |
extern struct order_spec *dp_current_spec; |
extern struct modorder_spec *dp_current_modspec; |
extern struct modorder_spec *dp_current_modspec; |
|
extern int nd_rref2; |
|
|
int do_weyl; |
int do_weyl; |
|
|
Line 68 void Pdp_sp(), Pdp_hm(), Pdp_ht(), Pdp_hc(), Pdp_rest( |
|
Line 68 void Pdp_sp(), Pdp_hm(), Pdp_ht(), Pdp_hc(), Pdp_rest( |
|
void Pdp_set_sugar(); |
void Pdp_set_sugar(); |
void Pdp_cri1(),Pdp_cri2(),Pdp_subd(),Pdp_mod(),Pdp_red_mod(),Pdp_tdiv(); |
void Pdp_cri1(),Pdp_cri2(),Pdp_subd(),Pdp_mod(),Pdp_red_mod(),Pdp_tdiv(); |
void Pdp_prim(),Pdp_red_coef(),Pdp_mag(),Pdp_set_kara(),Pdp_rat(); |
void Pdp_prim(),Pdp_red_coef(),Pdp_mag(),Pdp_set_kara(),Pdp_rat(); |
void Pdp_nf(),Pdp_true_nf(); |
void Pdp_nf(),Pdp_true_nf(),Pdp_true_nf_marked(),Pdp_true_nf_marked_mod(); |
|
void Pdp_true_nf_and_quotient_marked(),Pdp_true_nf_and_quotient_marked_mod(); |
void Pdp_nf_mod(),Pdp_true_nf_mod(); |
void Pdp_nf_mod(),Pdp_true_nf_mod(); |
void Pdp_criB(),Pdp_nelim(); |
void Pdp_criB(),Pdp_nelim(); |
void Pdp_minp(),Pdp_sp_mod(); |
void Pdp_minp(),Pdp_sp_mod(); |
Line 91 void Pdp_weyl_gr_main(),Pdp_weyl_gr_mod_main(),Pdp_wey |
|
Line 92 void Pdp_weyl_gr_main(),Pdp_weyl_gr_mod_main(),Pdp_wey |
|
void Pdp_weyl_f4_main(),Pdp_weyl_f4_mod_main(),Pdp_weyl_f4_f_main(); |
void Pdp_weyl_f4_main(),Pdp_weyl_f4_mod_main(),Pdp_weyl_f4_f_main(); |
void Pdp_weyl_mul(),Pdp_weyl_mul_mod(); |
void Pdp_weyl_mul(),Pdp_weyl_mul_mod(); |
void Pdp_weyl_set_weight(); |
void Pdp_weyl_set_weight(); |
void Pdp_set_weight(); |
void Pdp_set_weight(),Pdp_set_top_weight(),Pdp_set_module_weight(); |
void Pdp_nf_f(),Pdp_weyl_nf_f(); |
void Pdp_nf_f(),Pdp_weyl_nf_f(); |
void Pdp_lnf_f(); |
void Pdp_lnf_f(); |
void Pnd_gr(),Pnd_gr_trace(),Pnd_f4(),Pnd_f4_trace(); |
void Pnd_gr(),Pnd_gr_trace(),Pnd_f4(),Pnd_f4_trace(); |
void Pnd_gr_postproc(); |
void Pnd_gr_postproc(), Pnd_weyl_gr_postproc(); |
|
void Pnd_gr_recompute_trace(), Pnd_btog(); |
void Pnd_weyl_gr(),Pnd_weyl_gr_trace(); |
void Pnd_weyl_gr(),Pnd_weyl_gr_trace(); |
void Pnd_nf(); |
void Pnd_nf(),Pnd_weyl_nf(); |
void Pdp_initial_term(); |
void Pdp_initial_term(); |
void Pdp_order(); |
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(); |
|
|
LIST dp_initial_term(); |
LIST dp_initial_term(); |
LIST dp_order(); |
LIST dp_order(); |
void parse_gr_option(LIST f,NODE opt,LIST *v,Num *homo, |
void parse_gr_option(LIST f,NODE opt,LIST *v,Num *homo, |
int *modular,struct order_spec **ord); |
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); |
LIST remove_zero_from_list(LIST); |
|
|
Line 133 struct ftab dp_tab[] = { |
|
Line 145 struct ftab dp_tab[] = { |
|
{"dp_nf",Pdp_nf,4}, |
{"dp_nf",Pdp_nf,4}, |
{"dp_nf_f",Pdp_nf_f,4}, |
{"dp_nf_f",Pdp_nf_f,4}, |
{"dp_true_nf",Pdp_true_nf,4}, |
{"dp_true_nf",Pdp_true_nf,4}, |
|
{"dp_true_nf_marked",Pdp_true_nf_marked,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_true_nf_marked_mod",Pdp_true_nf_marked_mod,5}, |
{"dp_nf_mod",Pdp_nf_mod,5}, |
{"dp_nf_mod",Pdp_nf_mod,5}, |
{"dp_true_nf_mod",Pdp_true_nf_mod,5}, |
{"dp_true_nf_mod",Pdp_true_nf_mod,5}, |
{"dp_lnf_mod",Pdp_lnf_mod,3}, |
{"dp_lnf_mod",Pdp_lnf_mod,3}, |
Line 151 struct ftab dp_tab[] = { |
|
Line 167 struct ftab dp_tab[] = { |
|
{"nd_gr_trace",Pnd_gr_trace,5}, |
{"nd_gr_trace",Pnd_gr_trace,5}, |
{"nd_f4_trace",Pnd_f4_trace,5}, |
{"nd_f4_trace",Pnd_f4_trace,5}, |
{"nd_gr_postproc",Pnd_gr_postproc,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",Pnd_weyl_gr,4}, |
{"nd_weyl_gr_trace",Pnd_weyl_gr_trace,5}, |
{"nd_weyl_gr_trace",Pnd_weyl_gr_trace,5}, |
{"nd_nf",Pnd_nf,5}, |
{"nd_nf",Pnd_nf,5}, |
|
{"nd_weyl_nf",Pnd_weyl_nf,5}, |
|
|
/* F4 algorithm */ |
/* F4 algorithm */ |
{"dp_f4_main",Pdp_f4_main,3}, |
{"dp_f4_main",Pdp_f4_main,3}, |
Line 185 struct ftab dp_tab[] = { |
|
Line 205 struct ftab dp_tab[] = { |
|
{"dp_weyl_f4_mod_main",Pdp_weyl_f4_mod_main,4}, |
{"dp_weyl_f4_mod_main",Pdp_weyl_f4_mod_main,4}, |
|
|
/* misc */ |
/* misc */ |
|
{"dp_inv_or_split",Pdp_inv_or_split,3}, |
{"dp_set_weight",Pdp_set_weight,-1}, |
{"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_weyl_set_weight",Pdp_weyl_set_weight,-1}, |
|
|
|
{"dp_get_denomlist",Pdp_get_denomlist,0}, |
{0,0,0}, |
{0,0,0}, |
}; |
}; |
|
|
Line 231 struct ftab dp_supp_tab[] = { |
|
Line 256 struct ftab dp_supp_tab[] = { |
|
{"dp_rest",Pdp_rest,1}, |
{"dp_rest",Pdp_rest,1}, |
{"dp_initial_term",Pdp_initial_term,1}, |
{"dp_initial_term",Pdp_initial_term,1}, |
{"dp_order",Pdp_order,1}, |
{"dp_order",Pdp_order,1}, |
|
{"dp_symb_add",Pdp_symb_add,2}, |
|
|
/* degree and size */ |
/* degree and size */ |
{"dp_td",Pdp_td,1}, |
{"dp_td",Pdp_td,1}, |
Line 245 struct ftab dp_supp_tab[] = { |
|
Line 271 struct ftab dp_supp_tab[] = { |
|
{"dp_idiv",Pdp_idiv,2}, |
{"dp_idiv",Pdp_idiv,2}, |
{"dp_tdiv",Pdp_tdiv,2}, |
{"dp_tdiv",Pdp_tdiv,2}, |
{"dp_minp",Pdp_minp,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}, |
|
|
{0,0,0} |
{0,0,0} |
}; |
}; |
|
|
|
NODE compute_last_w(NODE g,NODE gh,int n,int **v,int row1,int **m1,int row2,int **m2); |
|
Q compute_last_t(NODE g,NODE gh,Q t,VECT w1,VECT w2,NODE *homo,VECT *wp); |
|
|
|
void Pdp_compute_last_t(NODE arg,LIST *rp) |
|
{ |
|
NODE g,gh,homo,n; |
|
LIST hlist; |
|
VECT v1,v2,w; |
|
Q t; |
|
|
|
g = (NODE)BDY((LIST)ARG0(arg)); |
|
gh = (NODE)BDY((LIST)ARG1(arg)); |
|
t = (Q)ARG2(arg); |
|
v1 = (VECT)ARG3(arg); |
|
v2 = (VECT)ARG4(arg); |
|
t = compute_last_t(g,gh,t,v1,v2,&homo,&w); |
|
MKLIST(hlist,homo); |
|
n = mknode(3,t,w,hlist); |
|
MKLIST(*rp,n); |
|
} |
|
|
|
void Pdp_compute_last_w(NODE arg,LIST *rp) |
|
{ |
|
NODE g,gh,r; |
|
VECT w,rv; |
|
LIST l; |
|
MAT w1,w2; |
|
int row1,row2,i,j,n; |
|
int *v; |
|
int **m1,**m2; |
|
Q q; |
|
|
|
g = (NODE)BDY((LIST)ARG0(arg)); |
|
gh = (NODE)BDY((LIST)ARG1(arg)); |
|
w = (VECT)ARG2(arg); |
|
w1 = (MAT)ARG3(arg); |
|
w2 = (MAT)ARG4(arg); |
|
n = w1->col; |
|
row1 = w1->row; |
|
row2 = w2->row; |
|
if ( w ) { |
|
v = W_ALLOC(n); |
|
for ( i = 0; i < n; i++ ) v[i] = QTOS((Q)w->body[i]); |
|
} else v = 0; |
|
m1 = almat(row1,n); |
|
for ( i = 0; i < row1; i++ ) |
|
for ( j = 0; j < n; j++ ) m1[i][j] = QTOS((Q)w1->body[i][j]); |
|
m2 = almat(row2,n); |
|
for ( i = 0; i < row2; i++ ) |
|
for ( j = 0; j < n; j++ ) m2[i][j] = QTOS((Q)w2->body[i][j]); |
|
r = compute_last_w(g,gh,n,&v,row1,m1,row2,m2); |
|
if ( !r ) *rp = 0; |
|
else { |
|
MKVECT(rv,n); |
|
for ( i = 0; i < n; i++ ) { |
|
STOQ(v[i],q); rv->body[i] = (pointer)q; |
|
} |
|
MKLIST(l,r); |
|
r = mknode(2,rv,l); |
|
MKLIST(*rp,r); |
|
} |
|
} |
|
|
|
NODE compute_essential_df(DP *g,DP *gh,int n); |
|
|
|
void Pdp_compute_essential_df(NODE arg,LIST *rp) |
|
{ |
|
VECT g,gh; |
|
NODE r; |
|
|
|
g = (VECT)ARG0(arg); |
|
gh = (VECT)ARG1(arg); |
|
r = (NODE)compute_essential_df((DP *)BDY(g),(DP *)BDY(gh),g->len); |
|
MKLIST(*rp,r); |
|
} |
|
|
|
void Pdp_inv_or_split(arg,rp) |
|
NODE arg; |
|
Obj *rp; |
|
{ |
|
NODE gb,newgb; |
|
DP f,inv; |
|
struct order_spec *spec; |
|
LIST list; |
|
|
|
do_weyl = 0; dp_fcoeffs = 0; |
|
asir_assert(ARG0(arg),O_LIST,"dp_inv_or_split"); |
|
asir_assert(ARG1(arg),O_DP,"dp_inv_or_split"); |
|
if ( !create_order_spec(0,(Obj)ARG2(arg),&spec) ) |
|
error("dp_inv_or_split : invalid order specification"); |
|
gb = BDY((LIST)ARG0(arg)); |
|
f = (DP)ARG1(arg); |
|
newgb = (NODE)dp_inv_or_split(gb,f,spec,&inv); |
|
if ( !newgb ) { |
|
/* invertible */ |
|
*rp = (Obj)inv; |
|
} else { |
|
MKLIST(list,newgb); |
|
*rp = (Obj)list; |
|
} |
|
} |
|
|
void Pdp_sort(arg,rp) |
void Pdp_sort(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
|
|
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
} |
} |
|
|
|
void Pdp_true_nf_marked(arg,rp) |
|
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,&cont,&dn); |
|
} |
|
n = mknode(3,nm,cont,dn); |
|
MKLIST(*rp,n); |
|
} |
|
|
|
DP *dp_true_nf_and_quotient_marked (NODE b,DP g,DP *ps,DP *hps,DP *rp,P *dnp); |
|
|
|
void Pdp_true_nf_and_quotient_marked(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
NODE b,n; |
|
DP *ps,*hps; |
|
DP g; |
|
DP nm; |
|
VECT quo; |
|
P dn; |
|
int full; |
|
|
|
do_weyl = 0; dp_fcoeffs = 0; |
|
asir_assert(ARG0(arg),O_LIST,"dp_true_nf_and_quotient_marked"); |
|
asir_assert(ARG1(arg),O_DP,"dp_true_nf_and_quotient_marked"); |
|
asir_assert(ARG2(arg),O_VECT,"dp_true_nf_and_quotient_marked"); |
|
asir_assert(ARG3(arg),O_VECT,"dp_true_nf_and_quotient_marked"); |
|
if ( !(g = (DP)ARG1(arg)) ) { |
|
nm = 0; dn = (P)ONE; |
|
} else { |
|
b = BDY((LIST)ARG0(arg)); |
|
ps = (DP *)BDY((VECT)ARG2(arg)); |
|
hps = (DP *)BDY((VECT)ARG3(arg)); |
|
NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len; |
|
quo->body = (pointer *)dp_true_nf_and_quotient_marked(b,g,ps,hps,&nm,&dn); |
|
} |
|
n = mknode(3,nm,dn,quo); |
|
MKLIST(*rp,n); |
|
} |
|
|
|
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(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
NODE b,n; |
|
DP *ps,*hps; |
|
DP g; |
|
DP nm; |
|
VECT quo; |
|
P dn; |
|
int full,mod; |
|
|
|
do_weyl = 0; dp_fcoeffs = 0; |
|
asir_assert(ARG0(arg),O_LIST,"dp_true_nf_and_quotient_marked_mod"); |
|
asir_assert(ARG1(arg),O_DP,"dp_true_nf_and_quotient_marked_mod"); |
|
asir_assert(ARG2(arg),O_VECT,"dp_true_nf_and_quotient_marked_mod"); |
|
asir_assert(ARG3(arg),O_VECT,"dp_true_nf_and_quotient_marked_mod"); |
|
asir_assert(ARG4(arg),O_N,"dp_true_nf_and_quotient_marked_mod"); |
|
if ( !(g = (DP)ARG1(arg)) ) { |
|
nm = 0; dn = (P)ONE; |
|
} else { |
|
b = BDY((LIST)ARG0(arg)); |
|
ps = (DP *)BDY((VECT)ARG2(arg)); |
|
hps = (DP *)BDY((VECT)ARG3(arg)); |
|
mod = QTOS((Q)ARG4(arg)); |
|
NEWVECT(quo); quo->len = ((VECT)ARG2(arg))->len; |
|
quo->body = (pointer *)dp_true_nf_and_quotient_marked_mod(b,g,ps,hps,mod,&nm,&dn); |
|
} |
|
n = mknode(3,nm,dn,quo); |
|
MKLIST(*rp,n); |
|
} |
|
|
|
void Pdp_true_nf_marked_mod(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
NODE b,n; |
|
DP *ps,*hps; |
|
DP g; |
|
DP nm; |
|
P dn; |
|
int mod; |
|
|
|
do_weyl = 0; dp_fcoeffs = 0; |
|
asir_assert(ARG0(arg),O_LIST,"dp_true_nf_marked_mod"); |
|
asir_assert(ARG1(arg),O_DP,"dp_true_nf_marked_mod"); |
|
asir_assert(ARG2(arg),O_VECT,"dp_true_nf_marked_mod"); |
|
asir_assert(ARG3(arg),O_VECT,"dp_true_nf_marked_mod"); |
|
asir_assert(ARG4(arg),O_N,"dp_true_nf_marked_mod"); |
|
if ( !(g = (DP)ARG1(arg)) ) { |
|
nm = 0; dn = (P)ONE; |
|
} else { |
|
b = BDY((LIST)ARG0(arg)); |
|
ps = (DP *)BDY((VECT)ARG2(arg)); |
|
hps = (DP *)BDY((VECT)ARG3(arg)); |
|
mod = QTOS((Q)ARG4(arg)); |
|
dp_true_nf_marked_mod(b,g,ps,hps,mod,&nm,&dn); |
|
} |
|
n = mknode(2,nm,dn); |
|
MKLIST(*rp,n); |
|
} |
|
|
void Pdp_weyl_nf_mod(arg,rp) |
void Pdp_weyl_nf_mod(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
|
|
dp_subd(p1,p2,rp); |
dp_subd(p1,p2,rp); |
} |
} |
|
|
|
void Pdp_symb_add(arg,rp) |
|
NODE arg; |
|
DP *rp; |
|
{ |
|
DP p1,p2,r; |
|
NODE s0; |
|
MP mp0,mp; |
|
int nv; |
|
|
|
p1 = (DP)ARG0(arg); p2 = (DP)ARG1(arg); |
|
asir_assert(p1,O_DP,"dp_symb_add"); |
|
asir_assert(p2,O_DP,"dp_symb_add"); |
|
if ( !p1 ) { *rp = p2; return; } |
|
else if ( !p2 ) { *rp = p1; return; } |
|
if ( p1->nv != p2->nv ) |
|
error("dp_sumb_add : invalid input"); |
|
nv = p1->nv; |
|
s0 = symb_merge(dp_dllist(p1),dp_dllist(p2),nv); |
|
for ( mp0 = 0; s0; s0 = NEXT(s0) ) { |
|
NEXTMP(mp0,mp); mp->dl = (DL)BDY(s0); mp->c = (P)ONE; |
|
} |
|
NEXT(mp) = 0; |
|
MKDP(nv,mp0,r); r->sugar = MAX(p1->sugar,p2->sugar); |
|
*rp = r; |
|
} |
|
|
void Pdp_mul_trunc(arg,rp) |
void Pdp_mul_trunc(arg,rp) |
NODE arg; |
NODE arg; |
DP *rp; |
DP *rp; |
|
|
LIST *rp; |
LIST *rp; |
{ |
{ |
LIST f,v; |
LIST f,v; |
int m,homo; |
int m,homo,retdp; |
|
Obj val; |
struct order_spec *ord; |
struct order_spec *ord; |
|
|
do_weyl = 0; |
do_weyl = 0; |
asir_assert(ARG0(arg),O_LIST,"nd_gr"); |
nd_rref2 = 0; |
asir_assert(ARG1(arg),O_LIST,"nd_gr"); |
asir_assert(ARG0(arg),O_LIST,"nd_f4"); |
asir_assert(ARG2(arg),O_N,"nd_gr"); |
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 = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
f = remove_zero_from_list(f); |
f = remove_zero_from_list(f); |
if ( !BDY(f) ) { |
if ( !BDY(f) ) { |
|
|
} |
} |
m = QTOS((Q)ARG2(arg)); |
m = QTOS((Q)ARG2(arg)); |
create_order_spec(0,ARG3(arg),&ord); |
create_order_spec(0,ARG3(arg),&ord); |
nd_gr(f,v,m,1,ord,rp); |
homo = retdp = 0; |
|
if ( get_opt("homo",&val) && val ) homo = 1; |
|
if ( get_opt("dp",&val) && val ) retdp = 1; |
|
if ( get_opt("rref2",&val) && val ) nd_rref2 = 1; |
|
nd_gr(f,v,m,homo,retdp,1,ord,rp); |
} |
} |
|
|
void Pnd_gr(arg,rp) |
void Pnd_gr(arg,rp) |
|
|
LIST *rp; |
LIST *rp; |
{ |
{ |
LIST f,v; |
LIST f,v; |
int m,homo; |
int m,homo,retdp; |
|
Obj val; |
struct order_spec *ord; |
struct order_spec *ord; |
|
|
do_weyl = 0; |
do_weyl = 0; |
|
|
} |
} |
m = QTOS((Q)ARG2(arg)); |
m = QTOS((Q)ARG2(arg)); |
create_order_spec(0,ARG3(arg),&ord); |
create_order_spec(0,ARG3(arg),&ord); |
nd_gr(f,v,m,0,ord,rp); |
homo = retdp = 0; |
|
if ( get_opt("homo",&val) && val ) homo = 1; |
|
if ( get_opt("dp",&val) && val ) retdp = 1; |
|
nd_gr(f,v,m,homo,retdp,0,ord,rp); |
} |
} |
|
|
void Pnd_gr_postproc(arg,rp) |
void Pnd_gr_postproc(arg,rp) |
|
|
nd_gr_postproc(f,v,m,ord,do_check,rp); |
nd_gr_postproc(f,v,m,ord,do_check,rp); |
} |
} |
|
|
|
void Pnd_gr_recompute_trace(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v,tlist; |
|
int m; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 0; |
|
asir_assert(ARG0(arg),O_LIST,"nd_gr_recompute_trace"); |
|
asir_assert(ARG1(arg),O_LIST,"nd_gr_recompute_trace"); |
|
asir_assert(ARG2(arg),O_N,"nd_gr_recompute_trace"); |
|
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
|
m = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
tlist = (LIST)ARG4(arg); |
|
nd_gr_recompute_trace(f,v,m,ord,tlist,rp); |
|
} |
|
|
|
Obj nd_btog_one(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,int pos); |
|
Obj nd_btog(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist); |
|
|
|
void Pnd_btog(arg,rp) |
|
NODE arg; |
|
Obj *rp; |
|
{ |
|
LIST f,v,tlist; |
|
int m,ac,pos; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 0; |
|
asir_assert(ARG0(arg),O_LIST,"nd_btog"); |
|
asir_assert(ARG1(arg),O_LIST,"nd_btog"); |
|
asir_assert(ARG2(arg),O_N,"nd_btog"); |
|
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
|
m = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
tlist = (LIST)ARG4(arg); |
|
if ( (ac = argc(arg)) == 6 ) { |
|
asir_assert(ARG5(arg),O_N,"nd_btog"); |
|
pos = QTOS((Q)ARG5(arg)); |
|
*rp = nd_btog_one(f,v,m,ord,tlist,pos); |
|
} else if ( ac == 5 ) |
|
*rp = nd_btog(f,v,m,ord,tlist); |
|
else |
|
error("nd_btog : argument mismatch"); |
|
} |
|
|
|
void Pnd_weyl_gr_postproc(arg,rp) |
|
NODE arg; |
|
LIST *rp; |
|
{ |
|
LIST f,v; |
|
int m,do_check; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 1; |
|
asir_assert(ARG0(arg),O_LIST,"nd_gr"); |
|
asir_assert(ARG1(arg),O_LIST,"nd_gr"); |
|
asir_assert(ARG2(arg),O_N,"nd_gr"); |
|
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
|
f = remove_zero_from_list(f); |
|
if ( !BDY(f) ) { |
|
*rp = f; do_weyl = 0; return; |
|
} |
|
m = QTOS((Q)ARG2(arg)); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
do_check = ARG4(arg) ? 1 : 0; |
|
nd_gr_postproc(f,v,m,ord,do_check,rp); |
|
do_weyl = 0; |
|
} |
|
|
void Pnd_gr_trace(arg,rp) |
void Pnd_gr_trace(arg,rp) |
NODE arg; |
NODE arg; |
LIST *rp; |
LIST *rp; |
|
|
LIST *rp; |
LIST *rp; |
{ |
{ |
LIST f,v; |
LIST f,v; |
int m,homo; |
int m,homo,retdp; |
|
Obj val; |
struct order_spec *ord; |
struct order_spec *ord; |
|
|
do_weyl = 1; |
do_weyl = 1; |
|
|
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
f = remove_zero_from_list(f); |
f = remove_zero_from_list(f); |
if ( !BDY(f) ) { |
if ( !BDY(f) ) { |
*rp = f; return; |
*rp = f; do_weyl = 0; return; |
} |
} |
m = QTOS((Q)ARG2(arg)); |
m = QTOS((Q)ARG2(arg)); |
create_order_spec(0,ARG3(arg),&ord); |
create_order_spec(0,ARG3(arg),&ord); |
nd_gr(f,v,m,0,ord,rp); |
homo = retdp = 0; |
|
if ( get_opt("homo",&val) && val ) homo = 1; |
|
if ( get_opt("dp",&val) && val ) retdp = 1; |
|
nd_gr(f,v,m,homo,retdp,0,ord,rp); |
|
do_weyl = 0; |
} |
} |
|
|
void Pnd_weyl_gr_trace(arg,rp) |
void Pnd_weyl_gr_trace(arg,rp) |
|
|
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
f = (LIST)ARG0(arg); v = (LIST)ARG1(arg); |
f = remove_zero_from_list(f); |
f = remove_zero_from_list(f); |
if ( !BDY(f) ) { |
if ( !BDY(f) ) { |
*rp = f; return; |
*rp = f; do_weyl = 0; return; |
} |
} |
homo = QTOS((Q)ARG2(arg)); |
homo = QTOS((Q)ARG2(arg)); |
m = QTOS((Q)ARG3(arg)); |
m = QTOS((Q)ARG3(arg)); |
create_order_spec(0,ARG4(arg),&ord); |
create_order_spec(0,ARG4(arg),&ord); |
nd_gr_trace(f,v,m,homo,0,ord,rp); |
nd_gr_trace(f,v,m,homo,0,ord,rp); |
|
do_weyl = 0; |
} |
} |
|
|
void Pnd_nf(arg,rp) |
void Pnd_nf(NODE arg,Obj *rp) |
NODE arg; |
|
P *rp; |
|
{ |
{ |
P f; |
Obj f; |
LIST g,v; |
LIST g,v; |
struct order_spec *ord; |
struct order_spec *ord; |
|
|
do_weyl = 0; |
do_weyl = 0; |
asir_assert(ARG0(arg),O_P,"nd_nf"); |
|
asir_assert(ARG1(arg),O_LIST,"nd_nf"); |
asir_assert(ARG1(arg),O_LIST,"nd_nf"); |
asir_assert(ARG2(arg),O_LIST,"nd_nf"); |
asir_assert(ARG2(arg),O_LIST,"nd_nf"); |
asir_assert(ARG4(arg),O_N,"nd_nf"); |
asir_assert(ARG4(arg),O_N,"nd_nf"); |
f = (P)ARG0(arg); |
f = (Obj)ARG0(arg); |
g = (LIST)ARG1(arg); g = remove_zero_from_list(g); |
g = (LIST)ARG1(arg); g = remove_zero_from_list(g); |
if ( !BDY(g) ) { |
if ( !BDY(g) ) { |
*rp = f; return; |
*rp = f; return; |
|
|
nd_nf_p(f,g,v,QTOS((Q)ARG4(arg)),ord,rp); |
nd_nf_p(f,g,v,QTOS((Q)ARG4(arg)),ord,rp); |
} |
} |
|
|
|
void Pnd_weyl_nf(NODE arg,Obj *rp) |
|
{ |
|
Obj f; |
|
LIST g,v; |
|
struct order_spec *ord; |
|
|
|
do_weyl = 1; |
|
asir_assert(ARG1(arg),O_LIST,"nd_weyl_nf"); |
|
asir_assert(ARG2(arg),O_LIST,"nd_weyl_nf"); |
|
asir_assert(ARG4(arg),O_N,"nd_weyl_nf"); |
|
f = (Obj)ARG0(arg); |
|
g = (LIST)ARG1(arg); g = remove_zero_from_list(g); |
|
if ( !BDY(g) ) { |
|
*rp = f; return; |
|
} |
|
v = (LIST)ARG2(arg); |
|
create_order_spec(0,ARG3(arg),&ord); |
|
nd_nf_p(f,g,v,QTOS((Q)ARG4(arg)),ord,rp); |
|
} |
|
|
/* for Weyl algebra */ |
/* for Weyl algebra */ |
|
|
void Pdp_weyl_gr_main(arg,rp) |
void Pdp_weyl_gr_main(arg,rp) |
|
|
} |
} |
} |
} |
|
|
|
VECT current_module_weight_vector_obj; |
|
int *current_module_weight_vector; |
|
|
|
void Pdp_set_module_weight(arg,rp) |
|
NODE arg; |
|
VECT *rp; |
|
{ |
|
VECT v; |
|
int i,n; |
|
NODE node; |
|
|
|
if ( !arg ) |
|
*rp = current_module_weight_vector_obj; |
|
else if ( !ARG0(arg) ) { |
|
current_module_weight_vector_obj = 0; |
|
current_module_weight_vector = 0; |
|
*rp = 0; |
|
} else { |
|
if ( OID(ARG0(arg)) != O_VECT && OID(ARG0(arg)) != O_LIST ) |
|
error("dp_module_set_weight : invalid argument"); |
|
if ( OID(ARG0(arg)) == O_VECT ) |
|
v = (VECT)ARG0(arg); |
|
else { |
|
node = (NODE)BDY((LIST)ARG0(arg)); |
|
n = length(node); |
|
MKVECT(v,n); |
|
for ( i = 0; i < n; i++, node = NEXT(node) ) |
|
BDY(v)[i] = BDY(node); |
|
} |
|
current_module_weight_vector_obj = v; |
|
n = v->len; |
|
current_module_weight_vector = (int *)CALLOC(n,sizeof(int)); |
|
for ( i = 0; i < n; i++ ) |
|
current_module_weight_vector[i] = QTOS((Q)v->body[i]); |
|
*rp = v; |
|
} |
|
} |
|
|
|
extern Obj current_top_weight; |
|
extern Obj nd_top_weight; |
|
|
|
void Pdp_set_top_weight(NODE arg,Obj *rp) |
|
{ |
|
VECT v; |
|
MAT m; |
|
Obj obj; |
|
int i,j,n,id,row,col; |
|
Q *mi; |
|
NODE node; |
|
|
|
if ( !arg ) |
|
*rp = current_top_weight; |
|
else if ( !ARG0(arg) ) { |
|
reset_top_weight(); |
|
*rp = 0; |
|
} else { |
|
id = OID(ARG0(arg)); |
|
if ( id != O_VECT && id != O_MAT && id != O_LIST ) |
|
error("dp_set_top_weight : invalid argument"); |
|
if ( id == O_LIST ) { |
|
node = (NODE)BDY((LIST)ARG0(arg)); |
|
n = length(node); |
|
MKVECT(v,n); |
|
for ( i = 0; i < n; i++, node = NEXT(node) ) |
|
BDY(v)[i] = BDY(node); |
|
obj = v; |
|
} else |
|
obj = ARG0(arg); |
|
if ( OID(obj) == O_VECT ) { |
|
v = (VECT)obj; |
|
for ( i = 0; i < v->len; i++ ) |
|
if ( !INT(BDY(v)[i]) || (BDY(v)[i] && SGN((Q)BDY(v)[i]) < 0) ) |
|
error("dp_set_top_weight : each element must be a non-negative integer"); |
|
} else { |
|
m = (MAT)obj; row = m->row; col = m->col; |
|
for ( i = 0; i < row; i++ ) |
|
for ( j = 0, mi = (Q *)BDY(m)[i]; j < col; j++ ) |
|
if ( !INT(mi[j]) || (mi[j] && SGN((Q)mi[j]) < 0) ) |
|
error("dp_set_top_weight : each element must be a non-negative integer"); |
|
} |
|
current_top_weight = obj; |
|
nd_top_weight = obj; |
|
*rp = current_top_weight; |
|
} |
|
} |
|
|
|
LIST get_denomlist(); |
|
|
|
void Pdp_get_denomlist(LIST *rp) |
|
{ |
|
*rp = get_denomlist(); |
|
} |
|
|
static VECT current_weyl_weight_vector_obj; |
static VECT current_weyl_weight_vector_obj; |
int *current_weyl_weight_vector; |
int *current_weyl_weight_vector; |
|
|
|
|
VECT *rp; |
VECT *rp; |
{ |
{ |
VECT v; |
VECT v; |
|
NODE node; |
int i,n; |
int i,n; |
|
|
if ( !arg ) |
if ( !arg ) |
*rp = current_weyl_weight_vector_obj; |
*rp = current_weyl_weight_vector_obj; |
else { |
else if ( !ARG0(arg) ) { |
asir_assert(ARG0(arg),O_VECT,"dp_weyl_set_weight"); |
current_weyl_weight_vector_obj = 0; |
v = (VECT)ARG0(arg); |
current_weyl_weight_vector = 0; |
|
*rp = 0; |
|
} else { |
|
if ( OID(ARG0(arg)) != O_VECT && OID(ARG0(arg)) != O_LIST ) |
|
error("dp_weyl_set_weight : invalid argument"); |
|
if ( OID(ARG0(arg)) == O_VECT ) |
|
v = (VECT)ARG0(arg); |
|
else { |
|
node = (NODE)BDY((LIST)ARG0(arg)); |
|
n = length(node); |
|
MKVECT(v,n); |
|
for ( i = 0; i < n; i++, node = NEXT(node) ) |
|
BDY(v)[i] = BDY(node); |
|
} |
current_weyl_weight_vector_obj = v; |
current_weyl_weight_vector_obj = v; |
n = v->len; |
n = v->len; |
current_weyl_weight_vector = (int *)CALLOC(n,sizeof(int)); |
current_weyl_weight_vector = (int *)CALLOC(n,sizeof(int)); |
|
|
} |
} |
} |
} |
|
|
|
NODE mono_raddec(NODE ideal); |
|
|
|
void Pdp_mono_raddec(NODE arg,LIST *rp) |
|
{ |
|
NODE ideal,rd,t,t1,r,r1,u; |
|
VL vl0,vl; |
|
int nv,i,bpi; |
|
int *s; |
|
DP dp; |
|
P *v; |
|
LIST l; |
|
|
|
ideal = BDY((LIST)ARG0(arg)); |
|
if ( !ideal ) *rp = (LIST)ARG0(arg); |
|
else { |
|
t = BDY((LIST)ARG1(arg)); |
|
nv = length(t); |
|
v = (P)MALLOC(nv*sizeof(P)); |
|
for ( vl0 = 0, i = 0; t; t = NEXT(t), i++ ) { |
|
NEXTVL(vl0,vl); VR(vl) = VR((P)BDY(t)); |
|
MKV(VR(vl),v[i]); |
|
} |
|
if ( vl0 ) NEXT(vl) = 0; |
|
for ( t = 0, r = ideal; r; r = NEXT(r) ) { |
|
ptod(CO,vl0,BDY(r),&dp); MKNODE(t1,dp,t); t = t1; |
|
} |
|
rd = mono_raddec(t); |
|
r = 0; |
|
bpi = (sizeof(int)/sizeof(char))*8; |
|
for ( u = rd; u; u = NEXT(u) ) { |
|
s = (int *)BDY(u); |
|
for ( i = nv-1, t = 0; i >= 0; i-- ) |
|
if ( s[i/bpi]&(1<<(i%bpi)) ) { |
|
MKNODE(t1,v[i],t); t = t1; |
|
} |
|
MKLIST(l,t); MKNODE(r1,l,r); r = r1; |
|
} |
|
MKLIST(*rp,r); |
|
} |
|
} |
|
|
|
void Pdp_mono_reduce(NODE arg,LIST *rp) |
|
{ |
|
NODE t,t0,t1,r0,r; |
|
int i,n; |
|
DP m; |
|
DP *a; |
|
|
|
t0 = BDY((LIST)ARG0(arg)); |
|
t1 = BDY((LIST)ARG1(arg)); |
|
n = length(t0); |
|
a = (DP *)MALLOC(n*sizeof(DP)); |
|
for ( i = 0; i < n; i++, t0 = NEXT(t0) ) a[i] = (DP)BDY(t0); |
|
for ( t = t1; t; t = NEXT(t) ) { |
|
m = (DP)BDY(t); |
|
for ( i = 0; i < n; i++ ) |
|
if ( a[i] && dp_redble(a[i],m) ) a[i] = 0; |
|
} |
|
for ( i = n-1, r0 = 0; i >= 0; i-- ) |
|
if ( a[i] ) { NEXTNODE(r0,r); BDY(r) = a[i]; } |
|
if ( r0 ) NEXT(r) = 0; |
|
MKLIST(*rp,r0); |
|
} |
|
|
|
#define BLEN (8*sizeof(unsigned long)) |
|
|
|
void showmat2(unsigned long **a,int row,int col) |
|
{ |
|
int i,j; |
|
|
|
for ( i = 0; i < row; i++, putchar('\n') ) |
|
for ( j = 0; j < col; j++ ) |
|
if ( a[i][j/BLEN] & (1L<<(j%BLEN)) ) putchar('1'); |
|
else putchar('0'); |
|
} |
|
|
|
int rref2(unsigned long **a,int row,int col) |
|
{ |
|
int i,j,k,l,s,wcol,wj; |
|
unsigned long bj; |
|
unsigned long *ai,*ak,*as,*t; |
|
int *pivot; |
|
|
|
wcol = (col+BLEN-1)/BLEN; |
|
pivot = (int *)MALLOC_ATOMIC(row*sizeof(int)); |
|
i = 0; |
|
for ( j = 0; j < col; j++ ) { |
|
wj = j/BLEN; bj = 1L<<(j%BLEN); |
|
for ( k = i; k < row; k++ ) |
|
if ( a[k][wj] & bj ) break; |
|
if ( k == row ) continue; |
|
pivot[i] = j; |
|
if ( k != i ) { |
|
t = a[i]; a[i] = a[k]; a[k] = t; |
|
} |
|
ai = a[i]; |
|
for ( k = i+1; k < row; k++ ) { |
|
ak = a[k]; |
|
if ( ak[wj] & bj ) { |
|
for ( l = wj; l < wcol; l++ ) |
|
ak[l] ^= ai[l]; |
|
} |
|
} |
|
i++; |
|
} |
|
for ( k = i-1; k >= 0; k-- ) { |
|
j = pivot[k]; wj = j/BLEN; bj = 1L<<(j%BLEN); |
|
ak = a[k]; |
|
for ( s = 0; s < k; s++ ) { |
|
as = a[s]; |
|
if ( as[wj] & bj ) { |
|
for ( l = wj; l < wcol; l++ ) |
|
as[l] ^= ak[l]; |
|
} |
|
} |
|
} |
|
return i; |
|
} |
|
|
|
void Pdp_rref2(NODE arg,VECT *rp) |
|
{ |
|
VECT f,term,ret; |
|
int row,col,wcol,size,nv,i,j,rank,td; |
|
unsigned long **mat; |
|
unsigned long *v; |
|
DL d; |
|
DL *t; |
|
DP dp; |
|
MP m,m0; |
|
|
|
f = (VECT)ARG0(arg); |
|
row = f->len; |
|
term = (VECT)ARG1(arg); |
|
col = term->len; |
|
mat = (unsigned long **)MALLOC(row*sizeof(unsigned long *)); |
|
size = sizeof(unsigned long)*((col+BLEN-1)/BLEN); |
|
nv = ((DP)term->body[0])->nv; |
|
t = (DL *)MALLOC(col*sizeof(DL)); |
|
for ( i = 0; i < col; i++ ) t[i] = BDY((DP)BDY(term)[i])->dl; |
|
for ( i = 0; i < row; i++ ) { |
|
v = mat[i] = (unsigned long *)MALLOC_ATOMIC_IGNORE_OFF_PAGE(size); |
|
bzero(v,size); |
|
for ( j = 0, m = BDY((DP)BDY(f)[i]); m; m = NEXT(m) ) { |
|
d = m->dl; |
|
for ( ; !dl_equal(nv,d,t[j]); j++ ); |
|
v[j/BLEN] |= 1L <<(j%BLEN); |
|
} |
|
} |
|
rank = rref2(mat,row,col); |
|
MKVECT(ret,rank); |
|
*rp = ret; |
|
for ( i = 0; i < rank; i++ ) { |
|
v = mat[i]; |
|
m0 = 0; |
|
td = 0; |
|
for ( j = 0; j < col; j++ ) { |
|
if ( v[j/BLEN] & (1L<<(j%BLEN)) ) { |
|
NEXTMP(m0,m); |
|
m->dl = t[j]; |
|
m->c = (P)ONE; |
|
td = MAX(td,m->dl->td); |
|
} |
|
} |
|
NEXT(m) = 0; |
|
MKDP(nv,m0,dp); |
|
dp->sugar = td; |
|
BDY(ret)[i] = (pointer)dp; |
|
} |
|
} |
|
|
LIST remove_zero_from_list(LIST l) |
LIST remove_zero_from_list(LIST l) |
{ |
{ |
NODE n,r0,r; |
NODE n,r0,r; |
Line 2402 int dpv_hp(DPV p) |
|
Line 3070 int dpv_hp(DPV p) |
|
return -1; |
return -1; |
break; |
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; |
} |
} |