=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/dist.c,v retrieving revision 1.2 retrieving revision 1.11 diff -u -p -r1.2 -r1.11 --- OpenXM_contrib2/asir2000/engine/dist.c 2000/04/05 08:32:17 1.2 +++ OpenXM_contrib2/asir2000/engine/dist.c 2000/12/05 06:59:16 1.11 @@ -1,9 +1,54 @@ -/* $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.1.1.1 1999/12/03 07:39:08 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/engine/dist.c,v 1.10 2000/11/07 06:06:39 noro Exp $ +*/ #include "ca.h" -#define NV(p) ((p)->nv) -#define C(p) ((p)->c) - #define ORD_REVGRADLEX 0 #define ORD_GRADLEX 1 #define ORD_LEX 2 @@ -20,8 +65,10 @@ int (*primitive_cmpdl[3])() = {cmpdl_revgradlex,cmpdl_ void comm_muld(VL,DP,DP,DP *); void weyl_muld(VL,DP,DP,DP *); -void weyl_muldm(VL,DP,MP,DP *); -void weyl_mulmm(VL,MP,MP,int,DP *); +void weyl_muldm(VL,MP,DP,DP *); +void weyl_mulmm(VL,MP,MP,int,struct cdl *,int); +void comm_muld_tab(VL,int,struct cdl *,int,struct cdl *,int,struct cdl *); + void mkwc(int,int,Q *); int do_weyl; @@ -315,6 +362,59 @@ DP p1,p2,*pr; } } +/* + * destructive merge of two list + * + * p1, p2 : list of DL + * return : a merged list + */ + +NODE symb_merge(m1,m2,n) +NODE m1,m2; +int n; +{ + NODE top,prev,cur,m,t; + + if ( !m1 ) + return m2; + else if ( !m2 ) + return m1; + else { + switch ( (*cmpdl)(n,(DL)BDY(m1),(DL)BDY(m2)) ) { + case 0: + top = m1; m = NEXT(m2); + break; + case 1: + top = m1; m = m2; + break; + case -1: + top = m2; m = m1; + break; + } + prev = top; cur = NEXT(top); + /* BDY(prev) > BDY(m) always holds */ + while ( cur && m ) { + switch ( (*cmpdl)(n,(DL)BDY(cur),(DL)BDY(m)) ) { + case 0: + m = NEXT(m); + prev = cur; cur = NEXT(cur); + break; + case 1: + t = NEXT(cur); NEXT(cur) = m; m = t; + prev = cur; cur = NEXT(cur); + break; + case -1: + NEXT(prev) = m; m = cur; + prev = NEXT(prev); cur = NEXT(prev); + break; + } + } + if ( !cur ) + NEXT(prev) = m; + return top; + } +} + void subd(vl,p1,p2,pr) VL vl; DP p1,p2,*pr; @@ -361,6 +461,9 @@ DP p1,p2,*pr; { MP m; DP s,t,u; + int i,l,l1; + static MP *w; + static int wlen; if ( !p1 || !p2 ) *pr = 0; @@ -369,9 +472,23 @@ DP p1,p2,*pr; else if ( OID(p2) <= O_P ) muldc(vl,p1,(P)p2,pr); else { - for ( m = BDY(p2), s = 0; m; m = NEXT(m) ) { - muldm(vl,p1,m,&t); addd(vl,s,t,&u); s = u; + for ( m = BDY(p1), l1 = 0; m; m = NEXT(m), l1++ ); + for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ ); + if ( l1 < l ) { + t = p1; p1 = p2; p2 = t; + l = l1; } + if ( l > wlen ) { + if ( w ) GC_free(w); + w = (MP *)MALLOC(l*sizeof(MP)); + wlen = l; + } + for ( m = BDY(p2), i = 0; i < l; m = NEXT(m), i++ ) + w[i] = m; + for ( s = 0, i = l-1; i >= 0; i-- ) { + muldm(vl,p1,w[i],&t); addd(vl,s,t,&u); s = u; + } + bzero(w,l*sizeof(MP)); *pr = s; } } @@ -411,6 +528,9 @@ DP p1,p2,*pr; { MP m; DP s,t,u; + int i,l; + static MP *w; + static int wlen; if ( !p1 || !p2 ) *pr = 0; @@ -419,82 +539,220 @@ DP p1,p2,*pr; else if ( OID(p2) <= O_P ) muldc(vl,p1,(P)p2,pr); else { - for ( m = BDY(p2), s = 0; m; m = NEXT(m) ) { - weyl_muldm(vl,p1,m,&t); addd(vl,s,t,&u); s = u; + for ( m = BDY(p1), l = 0; m; m = NEXT(m), l++ ); + if ( l > wlen ) { + if ( w ) GC_free(w); + w = (MP *)MALLOC(l*sizeof(MP)); + wlen = l; } + for ( m = BDY(p1), i = 0; i < l; m = NEXT(m), i++ ) + w[i] = m; + for ( s = 0, i = l-1; i >= 0; i-- ) { + weyl_muldm(vl,w[i],p2,&t); addd(vl,s,t,&u); s = u; + } + bzero(w,l*sizeof(MP)); *pr = s; } } -void weyl_muldm(vl,p,m0,pr) +/* monomial * polynomial */ + +void weyl_muldm(vl,m0,p,pr) VL vl; -DP p; MP m0; +DP p; DP *pr; { DP r,t,t1; MP m; - int n; + DL d0; + int n,n2,l,i,j,tlen; + static MP *w,*psum; + static struct cdl *tab; + static int wlen; + static int rtlen; if ( !p ) *pr = 0; else { - for ( r = 0, m = BDY(p), n = NV(p); m; m = NEXT(m) ) { - weyl_mulmm(vl,m,m0,n,&t); - addd(vl,r,t,&t1); r = t1; + for ( m = BDY(p), l = 0; m; m = NEXT(m), l++ ); + if ( l > wlen ) { + if ( w ) GC_free(w); + w = (MP *)MALLOC(l*sizeof(MP)); + wlen = l; } + for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ ) + w[i] = m; + + n = NV(p); n2 = n>>1; + d0 = m0->dl; + for ( i = 0, tlen = 1; i < n2; i++ ) + tlen *= d0->d[n2+i]+1; + if ( tlen > rtlen ) { + if ( tab ) GC_free(tab); + if ( psum ) GC_free(psum); + rtlen = tlen; + tab = (struct cdl *)MALLOC(rtlen*sizeof(struct cdl)); + psum = (MP *)MALLOC(rtlen*sizeof(MP)); + } + bzero(psum,tlen*sizeof(MP)); + for ( i = l-1; i >= 0; i-- ) { + bzero(tab,tlen*sizeof(struct cdl)); + weyl_mulmm(vl,m0,w[i],n,tab,tlen); + for ( j = 0; j < tlen; j++ ) { + if ( tab[j].c ) { + NEWMP(m); m->dl = tab[j].d; C(m) = tab[j].c; NEXT(m) = psum[j]; + psum[j] = m; + } + } + } + for ( j = tlen-1, r = 0; j >= 0; j-- ) + if ( psum[j] ) { + MKDP(n,psum[j],t); addd(vl,r,t,&t1); r = t1; + } if ( r ) r->sugar = p->sugar + m0->dl->td; *pr = r; } } -/* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ +/* m0 = x0^d0*x1^d1*... * dx0^e0*dx1^e1*... */ +/* rtab : array of length (e0+1)*(e1+1)*... */ -void weyl_mulmm(vl,m0,m1,n,pr) +void weyl_mulmm(vl,m0,m1,n,rtab,rtablen) VL vl; MP m0,m1; int n; -DP *pr; +struct cdl *rtab; +int rtablen; { MP m,mr,mr0; DP r,t,t1; P c,c0,c1,cc; - DL d,d0,d1; - int i,j,a,b,k,l,n2,s,min; - Q *tab; + DL d,d0,d1,dt; + int i,j,a,b,k,l,n2,s,min,curlen; + struct cdl *p; + static Q *ctab; + static struct cdl *tab; + static int tablen; + static struct cdl *tmptab; + static int tmptablen; - if ( !m0 || !m1 ) - *pr = 0; - else { - c0 = C(m0); c1 = C(m1); - mulp(vl,c0,c1,&c); - d0 = m0->dl; d1 = m1->dl; - n2 = n>>1; - for ( i = 0, r = (DP)ONE; i < n2; i++ ) { - a = d0->d[i]; b = d1->d[n2+i]; - k = d0->d[n2+i]; l = d1->d[i]; - /* compute xi^a*(Di^k*xi^l)*Di^b */ - min = MIN(k,l); - tab = (Q *)ALLOCA((min+1)*sizeof(Q)); - mkwc(k,l,tab); - for ( mr0 = 0, s = 0, j = 0; j <= min; j++ ) { - NEXTMP(mr0,mr); + + if ( !m0 || !m1 ) { + rtab[0].c = 0; + rtab[0].d = 0; + return; + } + c0 = C(m0); c1 = C(m1); + mulp(vl,c0,c1,&c); + d0 = m0->dl; d1 = m1->dl; + n2 = n>>1; + curlen = 1; + NEWDL(d,n); + if ( n & 1 ) + /* offset of h-degree */ + d->td = d->d[n-1] = d0->d[n-1]+d1->d[n-1]; + else + d->td = 0; + rtab[0].c = c; + rtab[0].d = d; + + if ( rtablen > tmptablen ) { + if ( tmptab ) GC_free(tmptab); + tmptab = (struct cdl *)MALLOC(rtablen*sizeof(struct cdl)); + tmptablen = rtablen; + } + for ( i = 0; i < n2; i++ ) { + a = d0->d[i]; b = d1->d[n2+i]; + k = d0->d[n2+i]; l = d1->d[i]; + if ( !k || !l ) { + a += l; + b += k; + s = a+b; + for ( j = 0, p = rtab; j < curlen; j++, p++ ) { + if ( p->c ) { + dt = p->d; + dt->d[i] = a; + dt->d[n2+i] = b; + dt->td += s; + } + } + curlen *= k+1; + continue; + } + if ( k+1 > tablen ) { + if ( tab ) GC_free(tab); + if ( ctab ) GC_free(ctab); + tablen = k+1; + tab = (struct cdl *)MALLOC(tablen*sizeof(struct cdl)); + ctab = (Q *)MALLOC(tablen*sizeof(Q)); + } + /* degree of xi^a*(Di^k*xi^l)*Di^b */ + s = a+k+l+b; + /* compute xi^a*(Di^k*xi^l)*Di^b */ + min = MIN(k,l); + mkwc(k,l,ctab); + bzero(tab,(k+1)*sizeof(struct cdl)); + if ( n & 1 ) + for ( j = 0; j <= min; j++ ) { NEWDL(d,n); d->d[i] = l-j+a; d->d[n2+i] = k-j+b; + d->td = s; + d->d[n-1] = s-(d->d[i]+d->d[n2+i]); + tab[j].d = d; + tab[j].c = (P)ctab[j]; + } + else + for ( j = 0; j <= min; j++ ) { + NEWDL(d,n); + d->d[i] = l-j+a; d->d[n2+i] = k-j+b; d->td = d->d[i]+d->d[n2+i]; /* XXX */ - s = MAX(s,d->td); /* XXX */ - mr->c = (P)tab[j]; - mr->dl = d; + tab[j].d = d; + tab[j].c = (P)ctab[j]; } - if ( mr0 ) - NEXT(mr) = 0; - MKDP(n,mr0,t); - if ( t ) - t->sugar = s; - comm_muld(vl,r,t,&t1); r = t1; + bzero(ctab,(min+1)*sizeof(Q)); + comm_muld_tab(vl,n,rtab,curlen,tab,k+1,tmptab); + curlen *= k+1; + bcopy(tmptab,rtab,curlen*sizeof(struct cdl)); + } +} + +/* direct product of two cdl tables + rt[] = [ + t[0]*t1[0],...,t[n-1]*t1[0], + t[0]*t1[1],...,t[n-1]*t1[1], + ... + t[0]*t1[n1-1],...,t[n-1]*t1[n1-1] + ] +*/ + +void comm_muld_tab(vl,nv,t,n,t1,n1,rt) +VL vl; +int nv; +struct cdl *t; +int n; +struct cdl *t1; +int n1; +struct cdl *rt; +{ + int i,j; + struct cdl *p; + P c; + DL d; + + bzero(rt,n*n1*sizeof(struct cdl)); + for ( j = 0, p = rt; j < n1; j++ ) { + c = t1[j].c; + d = t1[j].d; + if ( !c ) + break; + for ( i = 0; i < n; i++, p++ ) { + if ( t[i].c ) { + mulp(vl,t[i].c,c,&p->c); + adddl(nv,t[i].d,d,&p->d); + } } - muldc(vl,r,c,pr); } } @@ -569,6 +827,20 @@ DL *dr; } } +/* d1 += d2 */ + +void adddl_destructive(n,d1,d2) +int n; +DL d1,d2; +{ + DL dt; + int i; + + d1->td += d2->td; + for ( i = 0; i < n; i++ ) + d1->d[i] += d2->d[i]; +} + int compd(vl,p1,p2) VL vl; DP p1,p2; @@ -631,12 +903,18 @@ int cmpdl_revgradlex(n,d1,d2) int n; DL d1,d2; { + register int i; + register int *p1,*p2; + if ( d1->td > d2->td ) return 1; else if ( d1->td < d2->td ) return -1; - else - return cmpdl_revlex(n,d1,d2); + else { + for ( i= n - 1, p1 = d1->d+n-1, p2 = d2->d+n-1; + i >= 0 && *p1 == *p2; i--, p1--, p2-- ); + return i < 0 ? 0 : (*p1 < *p2 ? 1 : -1); + } } int cmpdl_blex(n,d1,d2)