| version 1.5, 2019/09/04 05:32:10 |
version 1.8, 2019/09/13 02:04:42 |
|
|
| * 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/asir2018/engine/dist.c,v 1.4 2019/09/04 01:12:02 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2018/engine/dist.c,v 1.7 2019/09/06 00:11:59 noro Exp $ |
| */ |
*/ |
| #include "ca.h" |
#include "ca.h" |
| |
|
| Line 2635 NBP harmonic_mul_nbm(NBM a,NBM b) |
|
| Line 2635 NBP harmonic_mul_nbm(NBM a,NBM b) |
|
| /* DPM functions */ |
/* DPM functions */ |
| |
|
| DMMstack dmm_stack; |
DMMstack dmm_stack; |
| |
extern LIST schreyer_obj; |
| |
|
| void push_schreyer_order(LIST data) |
void push_schreyer_order(LIST data) |
| { |
{ |
| DMMstack t; |
DMMstack t; |
| int len,i; |
int len,i; |
| NODE in; |
NODE in,t1; |
| |
|
| /* data = [DPM,...,DPM] */ |
/* data = [DPM,...,DPM] */ |
| in = BDY(data); |
in = BDY(data); |
| Line 2655 void push_schreyer_order(LIST data) |
|
| Line 2656 void push_schreyer_order(LIST data) |
|
| t->next = dmm_stack; |
t->next = dmm_stack; |
| dmm_stack = t; |
dmm_stack = t; |
| dpm_ordtype = 2; |
dpm_ordtype = 2; |
| |
MKNODE(t1,data,schreyer_obj?BDY(schreyer_obj):0); |
| |
MKLIST(schreyer_obj,t1); |
| } |
} |
| |
|
| |
|
| // data=[Ink,...,In0] |
// data=[Ink,...,In0] |
| // Ini = a list of module monomials |
// Ini = a list of module monomials |
| |
|
| Line 2714 NODE dpm_reduceall(NODE in) |
|
| Line 2716 NODE dpm_reduceall(NODE in) |
|
| for ( i = 0, t = in; i < n; i++, t = NEXT(t) ) ps[i] = BDY(t); |
for ( i = 0, t = in; i < n; i++, t = NEXT(t) ) ps[i] = BDY(t); |
| for ( i = 0; i < n; i++ ) { |
for ( i = 0; i < n; i++ ) { |
| g = ps[i]; ps[i] = 0; |
g = ps[i]; ps[i] = 0; |
| dpm_nf_z(0,g,psv,1,DP_Multiple,&r); |
// dpm_nf_z(0,g,psv,1,DP_Multiple,&ps[i]); |
| ps[i] = r; |
dpm_nf_z(0,g,psv,1,0,&ps[i]); |
| } |
} |
| t = 0; |
t = 0; |
| for ( i = n-1; i >= 0; i-- ) { |
for ( i = n-1; i >= 0; i-- ) { |
| Line 2725 NODE dpm_reduceall(NODE in) |
|
| Line 2727 NODE dpm_reduceall(NODE in) |
|
| return t; |
return t; |
| } |
} |
| |
|
| |
struct oEGT egra; |
| |
|
| void dpm_schreyer_base(LIST g,LIST *s) |
void dpm_schreyer_base(LIST g,LIST *s) |
| { |
{ |
| NODE nd,t,b0,b; |
NODE nd,t,b0,b; |
| Line 2738 void dpm_schreyer_base(LIST g,LIST *s) |
|
| Line 2742 void dpm_schreyer_base(LIST g,LIST *s) |
|
| DPM *ps; |
DPM *ps; |
| VECT psv; |
VECT psv; |
| DP **m,*quo; |
DP **m,*quo; |
| struct oEGT eg_nf,eg0,eg1; |
struct oEGT eg0,eg1; |
| extern struct oEGT egc,egcomp; |
extern struct oEGT egred; |
| |
|
| // init_eg(&eg_nf); |
init_eg(&egra); |
| // init_eg(&egcomp); |
|
| nd = BDY(g); |
nd = BDY(g); |
| n = length(nd); |
n = length(nd); |
| MKVECT(psv,n); |
MKVECT(psv,n); |
| Line 2751 void dpm_schreyer_base(LIST g,LIST *s) |
|
| Line 2754 void dpm_schreyer_base(LIST g,LIST *s) |
|
| nv = ps[0]->nv; |
nv = ps[0]->nv; |
| m = (DP **)almat_pointer(n,n); |
m = (DP **)almat_pointer(n,n); |
| b0 = 0; |
b0 = 0; |
| // init_eg(&egc); |
|
| for ( i = 0; i < n; i++ ) { |
for ( i = 0; i < n; i++ ) { |
| // sp(ps[i],ps[j]) = ti*ps[i]-tj*ps[j] => m[i][j] = ti |
// sp(ps[i],ps[j]) = ti*ps[i]-tj*ps[j] => m[i][j] = ti |
| for ( j = i+1; j < n; j++ ) m[i][j] = dpm_sp_hm(ps[i],ps[j]); |
for ( j = i+1; j < n; j++ ) m[i][j] = dpm_sp_hm(ps[i],ps[j]); |
| for ( j = i+1; j < n; j++ ) { |
for ( j = i+1; j < n; j++ ) { |
| // for ( j = n-1; j > i; j-- ) { |
|
| if ( !m[i][j] ) continue; |
if ( !m[i][j] ) continue; |
| for ( h = m[i][j], k = i+1; k < n; k++ ) |
for ( h = m[i][j], k = i+1; k < n; k++ ) |
| if ( k != j && m[i][k] && dp_redble(m[i][k],h) ) m[i][k] = 0; |
if ( k != j && m[i][k] && dp_redble(m[i][k],h) ) m[i][k] = 0; |
| Line 2764 void dpm_schreyer_base(LIST g,LIST *s) |
|
| Line 2765 void dpm_schreyer_base(LIST g,LIST *s) |
|
| for ( j = i+1; j < n; j++ ) { |
for ( j = i+1; j < n; j++ ) { |
| if ( m[i][j] ) { |
if ( m[i][j] ) { |
| dpm_sp(ps[i],ps[j],&sp,&t1,&t2); |
dpm_sp(ps[i],ps[j],&sp,&t1,&t2); |
| // get_eg(&eg0); |
|
| quo = dpm_nf_and_quotient(0,sp,psv,&nf,&dn); |
quo = dpm_nf_and_quotient(0,sp,psv,&nf,&dn); |
| // get_eg(&eg1); add_eg(&eg_nf,&eg0,&eg1); |
|
| if ( nf ) |
if ( nf ) |
| error("dpm_schreyer_base : cannot happen"); |
error("dpm_schreyer_base : cannot happen"); |
| NEWDMM(r0); r = r0; |
NEWDMM(r0); r = r0; |
| Line 2795 void dpm_schreyer_base(LIST g,LIST *s) |
|
| Line 2794 void dpm_schreyer_base(LIST g,LIST *s) |
|
| BDY(t) = (pointer)dpm; |
BDY(t) = (pointer)dpm; |
| } |
} |
| b0 = dpm_sort_list(b0); |
b0 = dpm_sort_list(b0); |
| // b0 = dpm_reduceall(b0); |
// get_eg(&eg0); |
| |
b0 = dpm_reduceall(b0); |
| |
// get_eg(&eg1); add_eg(&egra,&eg0,&eg1); print_eg("RA",&egra); |
| MKLIST(*s,b0); |
MKLIST(*s,b0); |
| // print_eg("nf",&eg_nf); printf("\n"); |
// print_eg("red",&egred); printf("\n"); |
| // print_eg("coef",&egc); printf("\n"); |
|
| } |
} |
| |
|
| int compdmm_schreyer(int n,DMM m1,DMM m2) |
int compdmm_schreyer(int n,DMM m1,DMM m2) |
| Line 2965 void chsgndpm(DPM p,DPM *pr) |
|
| Line 2965 void chsgndpm(DPM p,DPM *pr) |
|
| } |
} |
| } |
} |
| |
|
| |
void mulcmp(Obj c,MP m) |
| |
{ |
| |
MP t; |
| |
Obj c1; |
| |
|
| |
for ( t = m; t; t = NEXT(t) ) { |
| |
arf_mul(CO,c,C(t),&c1); C(t) = c1; |
| |
} |
| |
} |
| |
|
| |
void mulcdmm(Obj c,DMM m) |
| |
{ |
| |
DMM t; |
| |
Obj c1; |
| |
|
| |
for ( t = m; t; t = NEXT(t) ) { |
| |
arf_mul(CO,c,C(t),&c1); C(t) = c1; |
| |
} |
| |
} |
| |
|
| void mulcdpm(VL vl,Obj c,DPM p,DPM *pr) |
void mulcdpm(VL vl,Obj c,DPM p,DPM *pr) |
| { |
{ |
| DMM m,mr=0,mr0; |
DMM m,mr=0,mr0; |
| Line 3134 DPM dpm_eliminate_term(DPM a,DPM p,Obj c,int pos) |
|
| Line 3154 DPM dpm_eliminate_term(DPM a,DPM p,Obj c,int pos) |
|
| NEXTMP(d0,d); d->dl = m->dl; arf_chsgn(m->c,&d->c); |
NEXTMP(d0,d); d->dl = m->dl; arf_chsgn(m->c,&d->c); |
| } |
} |
| if ( d0 ) { |
if ( d0 ) { |
| NEXT(d) = 0; MKDP(NV(a),d,f); |
NEXT(d) = 0; MKDP(NV(a),d0,f); |
| |
mulcdpm(CO,c,a,&a1); |
| |
mulobjdpm(CO,(Obj)f,p,&p1); |
| |
adddpm(CO,a1,p1,&r); |
| |
return r; |
| } else |
} else |
| f = 0; |
return a; |
| mulcdpm(CO,c,a,&a1); |
|
| mulobjdpm(CO,(Obj)f,p,&p1); |
|
| adddpm(CO,a1,p1,&r); |
|
| return r; |
|
| } |
} |
| |
|
| // <<...:i>> -> <<...:tab[i]>> |
// <<...:i>> -> <<...:tab[i]>> |
| Line 3153 DPM dpm_compress(DPM p,int *tab) |
|
| Line 3173 DPM dpm_compress(DPM p,int *tab) |
|
| else { |
else { |
| for ( m = BDY(p), mr0 = 0; m; m = NEXT(m) ) { |
for ( m = BDY(p), mr0 = 0; m; m = NEXT(m) ) { |
| NEXTDMM(mr0,mr); |
NEXTDMM(mr0,mr); |
| mr->dl = m->dl; mr->c = m->c; mr->pos = tab[mr->pos]; |
mr->dl = m->dl; mr->c = m->c; mr->pos = tab[m->pos]; |
| if ( mr->pos <= 0 ) |
if ( mr->pos <= 0 ) |
| error("dpm_compress : invalid position"); |
error("dpm_compress : invalid position"); |
| } |
} |
| Line 3164 DPM dpm_compress(DPM p,int *tab) |
|
| Line 3184 DPM dpm_compress(DPM p,int *tab) |
|
| } |
} |
| |
|
| // input : s, s = syz(m) output simplified s, m |
// input : s, s = syz(m) output simplified s, m |
| void dpm_simplify_syz(LIST m,LIST s,LIST *m1,LIST *s1) |
void dpm_simplify_syz(LIST s,LIST m,LIST *s1,LIST *m1) |
| { |
{ |
| int lm,ls,i,j,pos; |
int lm,ls,i,j,pos; |
| DPM *am,*as; |
DPM *am,*as; |
| Line 3179 void dpm_simplify_syz(LIST m,LIST s,LIST *m1,LIST *s1) |
|
| Line 3199 void dpm_simplify_syz(LIST m,LIST s,LIST *m1,LIST *s1) |
|
| ls = length(BDY(s)); |
ls = length(BDY(s)); |
| as = (DPM *)MALLOC(ls*sizeof(DPM)); |
as = (DPM *)MALLOC(ls*sizeof(DPM)); |
| for ( i = 1, t = BDY(m); i <= lm; i++, t = NEXT(t) ) am[i] = (DPM)BDY(t); |
for ( i = 1, t = BDY(m); i <= lm; i++, t = NEXT(t) ) am[i] = (DPM)BDY(t); |
| for ( i = 0, t = BDY(m); i < ls; i++, t = NEXT(t) ) as[i] = (DPM)BDY(t); |
for ( i = 0, t = BDY(s); i < ls; i++, t = NEXT(t) ) as[i] = (DPM)BDY(t); |
| |
|
| for ( i = 0; i < ls; i++ ) { |
for ( i = 0; i < ls; i++ ) { |
| p = as[i]; |
p = as[i]; |
| |
if ( p == 0 ) continue; |
| for ( d = BDY(p); d; d = NEXT(d) ) if ( d->dl->td == 0 ) break; |
for ( d = BDY(p); d; d = NEXT(d) ) if ( d->dl->td == 0 ) break; |
| if ( d ) { |
if ( d ) { |
| c = d->c; pos = d->pos; |
c = d->c; pos = d->pos; |
| for ( j = 0; j < ls; j++ ) |
for ( j = 0; j < ls; j++ ) |
| if ( j != i ) |
if ( j != i ) { |
| as[j] = dpm_eliminate_term(as[j],p,c,pos); |
as[j] = dpm_eliminate_term(as[j],p,c,pos); |
| |
} |
| // remove m[i] |
// remove m[i] |
| am[pos] = 0; |
am[pos] = 0; |
| as[i] = 0; |
as[i] = 0; |