| version 1.68, 2007/09/06 02:23:40 |
version 1.94, 2015/01/13 00:54:54 |
|
|
| * 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 1.67 2007/08/21 23:53:00 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 56 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 67 void Pdp_sp(), Pdp_hm(), Pdp_ht(), Pdp_hc(), Pdp_rest( |
|
| Line 68 void Pdp_sp(), Pdp_hm(), Pdp_ht(), Pdp_hc(), Pdp_rest( |
|
| void Pdp_set_sugar(); |
void Pdp_set_sugar(); |
| void Pdp_cri1(),Pdp_cri2(),Pdp_subd(),Pdp_mod(),Pdp_red_mod(),Pdp_tdiv(); |
void Pdp_cri1(),Pdp_cri2(),Pdp_subd(),Pdp_mod(),Pdp_red_mod(),Pdp_tdiv(); |
| void Pdp_prim(),Pdp_red_coef(),Pdp_mag(),Pdp_set_kara(),Pdp_rat(); |
void Pdp_prim(),Pdp_red_coef(),Pdp_mag(),Pdp_set_kara(),Pdp_rat(); |
| void Pdp_nf(),Pdp_true_nf(),Pdp_true_nf_marked(); |
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 90 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_inv_or_split(); |
| |
void Pdp_compute_last_t(); |
| void Pdp_compute_last_w(); |
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 135 struct ftab dp_tab[] = { |
|
| Line 146 struct ftab dp_tab[] = { |
|
| {"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_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 153 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 189 struct ftab dp_tab[] = { |
|
| Line 207 struct ftab dp_tab[] = { |
|
| /* misc */ |
/* misc */ |
| {"dp_inv_or_split",Pdp_inv_or_split,3}, |
{"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 234 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 249 struct ftab dp_supp_tab[] = { |
|
| Line 272 struct ftab dp_supp_tab[] = { |
|
| {"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_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); |
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) |
void Pdp_compute_last_w(NODE arg,LIST *rp) |
| { |
{ |
| NODE g,gh,r; |
NODE g,gh,r; |
| Line 297 void Pdp_compute_last_w(NODE arg,LIST *rp) |
|
| Line 345 void Pdp_compute_last_w(NODE arg,LIST *rp) |
|
| } |
} |
| } |
} |
| |
|
| |
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) |
void Pdp_inv_or_split(arg,rp) |
| NODE arg; |
NODE arg; |
| Obj *rp; |
Obj *rp; |
|
|
| DP *ps,*hps; |
DP *ps,*hps; |
| DP g; |
DP g; |
| DP nm; |
DP nm; |
| |
Q cont; |
| P dn; |
P dn; |
| int full; |
int full; |
| |
|
|
|
| b = BDY((LIST)ARG0(arg)); |
b = BDY((LIST)ARG0(arg)); |
| ps = (DP *)BDY((VECT)ARG2(arg)); |
ps = (DP *)BDY((VECT)ARG2(arg)); |
| hps = (DP *)BDY((VECT)ARG3(arg)); |
hps = (DP *)BDY((VECT)ARG3(arg)); |
| dp_true_nf_marked(b,g,ps,hps,&nm,&dn); |
dp_true_nf_marked(b,g,ps,hps,&nm,&cont,&dn); |
| } |
} |
| NEWNODE(n); BDY(n) = (pointer)nm; |
n = mknode(3,nm,cont,dn); |
| NEWNODE(NEXT(n)); BDY(NEXT(n)) = (pointer)dn; |
MKLIST(*rp,n); |
| NEXT(NEXT(n)) = 0; MKLIST(*rp,n); |
|
| } |
} |
| |
|
| |
DP *dp_true_nf_and_quotient_marked (NODE b,DP g,DP *ps,DP *hps,DP *rp,P *dnp); |
| |
|
| |
void Pdp_true_nf_and_quotient_marked(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 2505 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; |
| } |
} |