=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2018/engine/dist.c,v retrieving revision 1.4 retrieving revision 1.6 diff -u -p -r1.4 -r1.6 --- OpenXM_contrib2/asir2018/engine/dist.c 2019/09/04 01:12:02 1.4 +++ OpenXM_contrib2/asir2018/engine/dist.c 2019/09/05 08:49:43 1.6 @@ -45,7 +45,7 @@ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. * - * $OpenXM: OpenXM_contrib2/asir2018/engine/dist.c,v 1.3 2019/08/21 00:37:47 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2018/engine/dist.c,v 1.5 2019/09/04 05:32:10 noro Exp $ */ #include "ca.h" @@ -3119,3 +3119,102 @@ int compdpm(VL vl,DPM p1,DPM p2) } } +// p = ...+c*<<0,...0:pos>>+... +DPM dpm_eliminate_term(DPM a,DPM p,Obj c,int pos) +{ + MP d0,d; + DMM m; + DP f; + DPM a1,p1,r; + + if ( !a ) return 0; + d0 = 0; + for ( m = BDY(a); m; m = NEXT(m) ) + if ( m->pos == pos ) { + NEXTMP(d0,d); d->dl = m->dl; arf_chsgn(m->c,&d->c); + } + if ( d0 ) { + 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 + return a; +} + +// <<...:i>> -> <<...:tab[i]>> +DPM dpm_compress(DPM p,int *tab) +{ + DMM m,mr0,mr; + DPM t; + + if ( !p ) return 0; + else { + for ( m = BDY(p), mr0 = 0; m; m = NEXT(m) ) { + NEXTDMM(mr0,mr); + mr->dl = m->dl; mr->c = m->c; mr->pos = tab[m->pos]; + if ( mr->pos <= 0 ) + error("dpm_compress : invalid position"); + } + NEXT(mr) = 0; + MKDPM(p->nv,mr0,t); t->sugar = p->sugar; + return t; + } +} + +// input : s, s = syz(m) output simplified s, m +void dpm_simplify_syz(LIST s,LIST m,LIST *s1,LIST *m1) +{ + int lm,ls,i,j,pos; + DPM *am,*as; + DPM p; + DMM d; + Obj c; + int *tab; + NODE t,t1; + + lm = length(BDY(m)); + am = (DPM *)MALLOC((lm+1)*sizeof(DPM)); + ls = length(BDY(s)); + 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 = 0, t = BDY(s); i < ls; i++, t = NEXT(t) ) as[i] = (DPM)BDY(t); + + for ( i = 0; i < ls; i++ ) { + p = as[i]; + if ( p == 0 ) continue; + for ( d = BDY(p); d; d = NEXT(d) ) if ( d->dl->td == 0 ) break; + if ( d ) { + c = d->c; pos = d->pos; + for ( j = 0; j < ls; j++ ) + if ( j != i ) { + as[j] = dpm_eliminate_term(as[j],p,c,pos); + } + // remove m[i] + am[pos] = 0; + as[i] = 0; + } + } + // compress s + // create index table from am[] + // (0 0 * 0 * ...) -> (0 0 1 0 2 ... ) which means 2->1, 4->2, ... + tab = (int *)MALLOC((lm+1)*sizeof(int)); + for ( j = 0, i = 1; i <= lm; i++ ) { + if ( am[i] ) { j++; tab[i] = j; } + else tab[i] = 0; + } + t = 0; + for ( i = ls-1; i >= 0; i-- ) + if ( as[i] ) { + p = dpm_compress(as[i],tab); + MKNODE(t1,(pointer)p,t); t = t1; + } + MKLIST(*s1,t); + t = 0; + for ( i = lm; i >= 1; i-- ) + if ( am[i] ) { + MKNODE(t1,(pointer)am[i],t); t = t1; + } + MKLIST(*m1,t); +}