=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/distm.c,v retrieving revision 1.1.1.1 retrieving revision 1.20 diff -u -p -r1.1.1.1 -r1.20 --- OpenXM_contrib2/asir2000/engine/distm.c 1999/12/03 07:39:08 1.1.1.1 +++ OpenXM_contrib2/asir2000/engine/distm.c 2017/08/31 02:36:21 1.20 @@ -1,24 +1,59 @@ -/* $OpenXM: OpenXM/src/asir99/engine/distm.c,v 1.1.1.1 1999/11/10 08:12:26 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/distm.c,v 1.19 2012/12/17 07:20:44 noro Exp $ +*/ #include "ca.h" #include "inline.h" -#define NV(p) ((p)->nv) -#define C(p) ((p)->c) -#if 0 -#define ITOS(p) (((unsigned int)(p))>>1) -#define STOI(i) ((P)((((unsigned int)(i))<<1)|1)) -#else -#define ITOS(p) (((unsigned int)(p))&0x7fffffff) -#define STOI(i) ((P)((unsigned int)(i)|0x80000000)) -#endif - extern int (*cmpdl)(); +extern int do_weyl; -void ptomd(vl,mod,dvl,p,pr) -VL vl,dvl; -int mod; -P p; -DP *pr; +void ptomd(VL vl,int mod,VL dvl,P p,DP *pr) { P t; @@ -26,11 +61,7 @@ DP *pr; mptomd(vl,mod,dvl,t,pr); } -void mptomd(vl,mod,dvl,p,pr) -VL vl,dvl; -int mod; -P p; -DP *pr; +void mptomd(VL vl,int mod,VL dvl,P p,DP *pr) { int n,i; VL tvl; @@ -47,7 +78,7 @@ DP *pr; for ( n = 0, tvl = dvl; tvl; tvl = NEXT(tvl), n++ ); if ( NUM(p) ) { NEWDL(d,n); - NEWMP(m); m->dl = d; C(m) = p; NEXT(m) = 0; MKDP(n,m,*pr); + NEWMP(m); m->dl = d; C(m) = (Obj)p; NEXT(m) = 0; MKDP(n,m,*pr); } else { for ( i = 0, tvl = dvl, v = VR(p); tvl && tvl->v != v; tvl = NEXT(tvl), i++ ); @@ -60,9 +91,10 @@ DP *pr; } else { for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) { mptomd(vl,mod,dvl,COEF(dc),&t); - NEWDL(d,n); d->td = QTOS(DEG(dc)); d->d[i] = d->td; - NEWMP(m); m->dl = d; C(m) = (P)ONEM; NEXT(m) = 0; MKDP(n,m,u); - mulmd(vl,mod,t,u,&r); addmd(vl,mod,r,s,&t); s = t; + NEWDL(d,n); d->d[i] = QTOS(DEG(dc)); + d->td = MUL_WEIGHT(d->d[i],i); + NEWMP(m); m->dl = d; C(m) = (Obj)ONEM; NEXT(m) = 0; MKDP(n,m,u); + comm_mulmd(vl,mod,t,u,&r); addmd(vl,mod,r,s,&t); s = t; } *pr = s; } @@ -70,12 +102,44 @@ DP *pr; } } -void mdtop(vl,mod,dvl,p,pr) -VL vl,dvl; -int mod; -DP p; -P *pr; +void mdtodp(DP p,DP *pr) { + MP m,mr0,mr; + + if ( !p ) + *pr = 0; + else { + for ( m = BDY(p), mr0 = 0; m; m = NEXT(m) ) { + NEXTMP(mr0,mr); mr->dl = m->dl; + mptop((P)C(m),(P *)&C(mr)); + } + NEXT(mr) = 0; + MKDP(NV(p),mr0,*pr); + (*pr)->sugar = p->sugar; + } +} + +void _mdtodp(DP p,DP *pr) +{ + MP m,mr0,mr; + int i; + Q q; + + if ( !p ) + *pr = 0; + else { + for ( m = BDY(p), mr0 = 0; m; m = NEXT(m) ) { + NEXTMP(mr0,mr); mr->dl = m->dl; + i = ITOS(m->c); STOQ(i,q); C(mr) = (Obj)q; + } + NEXT(mr) = 0; + MKDP(NV(p),mr0,*pr); + (*pr)->sugar = p->sugar; + } +} + +void mdtop(VL vl,int mod,VL dvl,DP p,P *pr) +{ int n,i; DL d; MP m; @@ -87,7 +151,7 @@ P *pr; *pr = 0; else { for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) { - for ( i = 0, t = C(m), d = m->dl, tvl = dvl; + for ( i = 0, t = (P)C(m), d = m->dl, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) { MKMV(tvl->v,r); STOQ(d->d[i],q); pwrmp(vl,mod,r,q,&u); mulmp(vl,mod,t,u,&w); t = w; @@ -98,10 +162,7 @@ P *pr; } } -void addmd(vl,mod,p1,p2,pr) -VL vl; -int mod; -DP p1,p2,*pr; +void addmd(VL vl,int mod,DP p1,DP p2,DP *pr) { int n; MP m1,m2,mr,mr0; @@ -126,9 +187,9 @@ DP p1,p2,*pr; } else t = 0; } else - addmp(vl,mod,C(m1),C(m2),&t); + addmp(vl,mod,(P)C(m1),(P)C(m2),&t); if ( t ) { - NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = t; + NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = (Obj)t; } m1 = NEXT(m1); m2 = NEXT(m2); break; case 1: @@ -159,10 +220,7 @@ DP p1,p2,*pr; } } -void submd(vl,mod,p1,p2,pr) -VL vl; -int mod; -DP p1,p2,*pr; +void submd(VL vl,int mod,DP p1,DP p2,DP *pr) { DP t; @@ -173,9 +231,7 @@ DP p1,p2,*pr; } } -void chsgnmd(mod,p,pr) -int mod; -DP p,*pr; +void chsgnmd(int mod,DP p,DP *pr) { MP m,mr,mr0; @@ -183,7 +239,7 @@ DP p,*pr; *pr = 0; else { for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - NEXTMP(mr0,mr); chsgnmp(mod,C(m),&C(mr)); mr->dl = m->dl; + NEXTMP(mr0,mr); chsgnmp(mod,(P)C(m),(P *)&C(mr)); mr->dl = m->dl; } NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); if ( *pr ) @@ -191,13 +247,21 @@ DP p,*pr; } } -void mulmd(vl,mod,p1,p2,pr) -VL vl; -int mod; -DP p1,p2,*pr; +void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr) { + if ( !do_weyl ) + comm_mulmd(vl,mod,p1,p2,pr); + else + weyl_mulmd(vl,mod,p1,p2,pr); +} + +void comm_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr) +{ MP m; DP s,t,u; + int i,l,l1; + static MP *w; + static int wlen; if ( !p1 || !p2 ) *pr = 0; @@ -206,20 +270,60 @@ DP p1,p2,*pr; else if ( OID(p2) <= O_P ) mulmdc(vl,mod,p1,(P)p2,pr); else { - for ( m = BDY(p2), s = 0; m; m = NEXT(m) ) { - mulmdm(vl,mod,p1,m,&t); addmd(vl,mod,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 ) GCFREE(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-- ) { + mulmdm(vl,mod,p1,w[i],&t); addmd(vl,mod,s,t,&u); s = u; + } + bzero(w,l*sizeof(MP)); *pr = s; } } -void mulmdm(vl,mod,p,m0,pr) -VL vl; -int mod; -DP p; -MP m0; -DP *pr; +void weyl_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr) { + MP m; + DP s,t,u; + int i,l; + static MP *w; + static int wlen; + + if ( !p1 || !p2 ) + *pr = 0; + else if ( OID(p1) <= O_P ) + mulmdc(vl,mod,p2,(P)p1,pr); + else if ( OID(p2) <= O_P ) + mulmdc(vl,mod,p1,(P)p2,pr); + else { + for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ ); + if ( l > wlen ) { + if ( w ) GCFREE(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-- ) { + weyl_mulmdm(vl,mod,p1,w[i],&t); addmd(vl,mod,s,t,&u); s = u; + } + bzero(w,l*sizeof(MP)); + *pr = s; + } +} + +void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr) +{ MP m,mr,mr0; P c; DL d; @@ -229,14 +333,14 @@ DP *pr; if ( !p ) *pr = 0; else { - for ( mr0 = 0, m = BDY(p), c = C(m0), d = m0->dl, n = NV(p); + for ( mr0 = 0, m = BDY(p), c = (P)C(m0), d = m0->dl, n = NV(p); m; m = NEXT(m) ) { NEXTMP(mr0,mr); if ( NUM(C(m)) && NUM(c) ) { t = dmar(((MQ)(C(m)))->cont,((MQ)c)->cont,0,mod); - STOMQ(t,q); C(mr) = (P)q; + STOMQ(t,q); C(mr) = (Obj)q; } else - mulmp(vl,mod,C(m),c,&C(mr)); + mulmp(vl,mod,(P)C(m),c,(P *)&C(mr)); adddl(n,m->dl,d,&mr->dl); } NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); @@ -245,13 +349,113 @@ DP *pr; } } -void mulmdc(vl,mod,p,c,pr) -VL vl; -int mod; -DP p; -P c; -DP *pr; +void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr) { + DP r,t,t1; + MP m; + int n,l,i; + static MP *w; + static int wlen; + + if ( !p ) + *pr = 0; + else { + for ( m = BDY(p), l = 0; m; m = NEXT(m), l++ ); + if ( l > wlen ) { + if ( w ) GCFREE(w); + w = (MP *)MALLOC(l*sizeof(MP)); + wlen = l; + } + for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ ) + w[i] = m; + for ( r = 0, i = l-1, n = NV(p); i >= 0; i-- ) { + weyl_mulmmm(vl,mod,w[i],m0,n,&t); + addmd(vl,mod,r,t,&t1); r = t1; + } + bzero(w,l*sizeof(MP)); + 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)*... */ + +void weyl_mulmmm(VL vl,int mod,MP m0,MP m1,int n,DP *pr) +{ + MP mr,mr0; + MQ mq; + DP r,t,t1; + P c,c0,c1; + DL d,d0,d1; + int i,j,a,b,k,l,n2,s,min; + static int *tab; + static int tablen; + + if ( !m0 || !m1 ) + *pr = 0; + else { + c0 = (P)C(m0); c1 = (P)C(m1); + mulmp(vl,mod,c0,c1,&c); + d0 = m0->dl; d1 = m1->dl; + n2 = n>>1; + if ( n & 1 ) { + /* homogenized computation; dx-xd=h^2 */ + /* offset of h-degree */ + NEWDL(d,n); + d->td = d->d[n-1] = d0->d[n-1]+d1->d[n-1]; + NEWMP(mr); mr->c = (Obj)ONEM; mr->dl = d; NEXT(mr) = 0; + MKDP(n,mr,r); r->sugar = d->td; + } else + r = (DP)ONEM; + for ( i = 0; i < n2; i++ ) { + a = d0->d[i]; b = d1->d[n2+i]; + k = d0->d[n2+i]; l = d1->d[i]; + + /* degree of xi^a*(Di^k*xi^l)*Di^b */ + a += l; + b += k; + s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); + + /* compute xi^a*(Di^k*xi^l)*Di^b */ + min = MIN(k,l); + + if ( min+1 > tablen ) { + if ( tab ) GCFREE(tab); + tab = (int *)MALLOC((min+1)*sizeof(int)); + tablen = min+1; + } + mkwcm(k,l,mod,tab); + if ( n & 1 ) + for ( mr0 = 0, j = 0; j <= min; j++ ) { + NEXTMP(mr0,mr); NEWDL(d,n); + d->d[i] = a-j; d->d[n2+i] = b-j; + d->td = s; + d->d[n-1] = s-(MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i)); + STOMQ(tab[j],mq); mr->c = (Obj)mq; mr->dl = d; + } + else + for ( mr0 = 0, s = 0, j = 0; j <= min; j++ ) { + NEXTMP(mr0,mr); NEWDL(d,n); + d->d[i] = a-j; d->d[n2+i] = b-j; + d->td = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i); /* XXX */ + s = MAX(s,d->td); /* XXX */ + STOMQ(tab[j],mq); mr->c = (Obj)mq; mr->dl = d; + } + bzero(tab,(min+1)*sizeof(int)); + if ( mr0 ) + NEXT(mr) = 0; + MKDP(n,mr0,t); + if ( t ) + t->sugar = s; + comm_mulmd(vl,mod,r,t,&t1); r = t1; + } + mulmdc(vl,mod,r,c,pr); + } +} + +void mulmdc(VL vl,int mod,DP p,P c,DP *pr) +{ MP m,mr,mr0; int t; MQ q; @@ -263,9 +467,9 @@ DP *pr; NEXTMP(mr0,mr); if ( NUM(C(m)) && NUM(c) ) { t = dmar(((MQ)(C(m)))->cont,((MQ)c)->cont,0,mod); - STOMQ(t,q); C(mr) = (P)q; + STOMQ(t,q); C(mr) = (Obj)q; } else - mulmp(vl,mod,C(m),c,&C(mr)); + mulmp(vl,mod,(P)C(m),c,(P *)&C(mr)); mr->dl = m->dl; } NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); @@ -274,12 +478,7 @@ DP *pr; } } -void divsmdc(vl,mod,p,c,pr) -VL vl; -int mod; -DP p; -P c; -DP *pr; +void divsmdc(VL vl,int mod,DP p,P c,DP *pr) { MP m,mr,mr0; @@ -289,7 +488,7 @@ DP *pr; *pr = 0; else { for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - NEXTMP(mr0,mr); divsmp(vl,mod,C(m),c,&C(mr)); mr->dl = m->dl; + NEXTMP(mr0,mr); divsmp(vl,mod,(P)C(m),c,(P *)&C(mr)); mr->dl = m->dl; } NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); if ( *pr ) @@ -297,45 +496,100 @@ DP *pr; } } -#define MKDPM(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m)) - -void _mdtop(vl,mod,dvl,p,pr) -VL vl,dvl; -int mod; -DP p; -P *pr; +void _dtop_mod(VL vl,VL dvl,DP p,P *pr) { int n,i; DL d; MP m; P r,s,t,u,w; Q q; - MQ tq; VL tvl; if ( !p ) *pr = 0; else { for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) { - STOMQ(ITOS(C(m)),tq); t = (P)tq; + i = ITOS(m->c); STOQ(i,q); t = (P)q; for ( i = 0, d = m->dl, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) { - MKV(tvl->v,r); STOQ(d->d[i],q); pwrmp(vl,mod,r,q,&u); - mulmp(vl,mod,t,u,&w); t = w; + MKV(tvl->v,r); STOQ(d->d[i],q); pwrp(vl,r,q,&u); + mulp(vl,t,u,&w); t = w; } - addmp(vl,mod,s,t,&u); s = u; + addp(vl,s,t,&u); s = u; } - mptop(s,pr); + *pr = s; } } -void _addmd(vl,mod,p1,p2,pr) -VL vl; -int mod; -DP p1,p2,*pr; +void _dp_mod(DP p,int mod,NODE subst,DP *rp) { + MP m,mr,mr0; + P t,s; + NODE tn; + + if ( !p ) + *rp = 0; + else { + for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { + for ( tn = subst, s = (P)m->c; tn; tn = NEXT(NEXT(tn)) ) { + substp(CO,s,BDY(tn),BDY(NEXT(tn)),&t); + s = t; + } + ptomp(mod,s,&t); + if ( t ) { + NEXTMP(mr0,mr); mr->c = (Obj)STOI(CONT((MQ)t)); mr->dl = m->dl; + } + } + if ( mr0 ) { + NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; + } else + *rp = 0; + } +} + +void _dp_monic(DP p,int mod,DP *rp) +{ + MP m,mr,mr0; + int c,c1; + + if ( !p ) + *rp = 0; + else { + c = invm(ITOS(BDY(p)->c),mod); + for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { + c1 = dmar(ITOS(m->c),c,0,mod); + NEXTMP(mr0,mr); mr->c = (Obj)STOI(c1); mr->dl = m->dl; + } + NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; + } +} + +void _printdp(DP d) +{ + int n,i; + MP m; + DL dl; + + if ( !d ) { + printf("0"); return; + } + for ( n = d->nv, m = BDY(d); m; m = NEXT(m) ) { + printf("%d*<<",ITOS(m->c)); + for ( i = 0, dl = m->dl; i < n-1; i++ ) + printf("%d,",dl->d[i]); + printf("%d",dl->d[i]); + printf(">>"); + if ( NEXT(m) ) + printf("+"); + } +} + +/* merge p1 and p2 into pr */ + +void addmd_destructive(int mod,DP p1,DP p2,DP *pr) +{ int n; - MP m1,m2,mr,mr0; + MP m1,m2,mr,mr0,s; int t; if ( !p1 ) @@ -349,16 +603,18 @@ DP p1,p2,*pr; t = (ITOS(C(m1))+ITOS(C(m2))) - mod; if ( t < 0 ) t += mod; + s = m1; m1 = NEXT(m1); if ( t ) { - NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = STOI(t); + NEXTMP2(mr0,mr,s); C(mr) = (Obj)STOI(t); } - m1 = NEXT(m1); m2 = NEXT(m2); break; + s = m2; m2 = NEXT(m2); + break; case 1: - NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = C(m1); - m1 = NEXT(m1); break; + s = m1; m1 = NEXT(m1); NEXTMP2(mr0,mr,s); + break; case -1: - NEXTMP(mr0,mr); mr->dl = m2->dl; C(mr) = C(m2); - m2 = NEXT(m2); break; + s = m2; m2 = NEXT(m2); NEXTMP2(mr0,mr,s); + break; } if ( !mr0 ) if ( m1 ) @@ -375,72 +631,85 @@ DP p1,p2,*pr; NEXT(mr) = m2; else NEXT(mr) = 0; - MKDPM(NV(p1),mr0,*pr); + MKDP(NV(p1),mr0,*pr); if ( *pr ) (*pr)->sugar = MAX(p1->sugar,p2->sugar); } } -void _submd(vl,mod,p1,p2,pr) -VL vl; -int mod; -DP p1,p2,*pr; +void mulmd_dup(int mod,DP p1,DP p2,DP *pr) { - DP t; - - if ( !p2 ) - *pr = p1; - else { - _chsgnmd(mod,p2,&t); _addmd(vl,mod,p1,t,pr); - } + if ( !do_weyl ) + comm_mulmd_dup(mod,p1,p2,pr); + else + weyl_mulmd_dup(mod,p1,p2,pr); } -void _chsgnmd(mod,p,pr) -int mod; -DP p,*pr; +void comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr) { - MP m,mr,mr0; + MP m; + DP s,t,u; + int i,l,l1; + static MP *w; + static int wlen; - if ( !p ) + if ( !p1 || !p2 ) *pr = 0; else { - for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - NEXTMP(mr0,mr); C(mr) = STOI(mod - ITOS(C(m))); mr->dl = m->dl; + 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; } - NEXT(mr) = 0; MKDPM(NV(p),mr0,*pr); - if ( *pr ) - (*pr)->sugar = p->sugar; + if ( l > wlen ) { + if ( w ) GCFREE(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-- ) { + mulmdm_dup(mod,p1,w[i],&t); addmd_destructive(mod,s,t,&u); s = u; + } + bzero(w,l*sizeof(MP)); + *pr = s; } } -void _mulmd(vl,mod,p1,p2,pr) -VL vl; -int mod; -DP p1,p2,*pr; +void weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr) { MP m; DP s,t,u; + int i,l; + static MP *w; + static int wlen; if ( !p1 || !p2 ) *pr = 0; else { - for ( m = BDY(p2), s = 0; m; m = NEXT(m) ) { - _mulmdm(vl,mod,p1,m,&t); _addmd(vl,mod,s,t,&u); s = u; + for ( m = BDY(p1), l = 0; m; m = NEXT(m), l++ ); + if ( l > wlen ) { + if ( w ) GCFREE(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_mulmdm_dup(mod,w[i],p2,&t); addmd_destructive(mod,s,t,&u); s = u; + } + bzero(w,l*sizeof(MP)); *pr = s; } } -void _mulmdm(vl,mod,p,m0,pr) -VL vl; -int mod; -DP p; -MP m0; -DP *pr; +void mulmdm_dup(int mod,DP p,MP m0,DP *pr) { MP m,mr,mr0; - DL d; - int c,n,r; + DL d,dt,dm; + int c,n,i; + int *pt,*p1,*p2; if ( !p ) *pr = 0; @@ -448,168 +717,207 @@ DP *pr; for ( mr0 = 0, m = BDY(p), c = ITOS(C(m0)), d = m0->dl, n = NV(p); m; m = NEXT(m) ) { NEXTMP(mr0,mr); - C(mr) = STOI(dmar(ITOS(C(m)),c,0,mod)); - adddl(n,m->dl,d,&mr->dl); + C(mr) = (Obj)STOI(dmar(ITOS(C(m)),c,0,mod)); + NEWDL_NOINIT(dt,n); mr->dl = dt; + dm = m->dl; + dt->td = d->td + dm->td; + for ( i = 0, pt = dt->d, p1=d->d, p2 = dm->d; i < n; i++ ) + *pt++ = *p1++ + *p2++; } - NEXT(mr) = 0; MKDPM(NV(p),mr0,*pr); + NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); if ( *pr ) (*pr)->sugar = p->sugar + m0->dl->td; } } -void _dtop_mod(vl,dvl,p,pr) -VL vl,dvl; -DP p; -P *pr; +void weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr) { - int n,i; - DL d; + DP r,t,t1; MP m; - P r,s,t,u,w; - Q q; - VL tvl; + DL d0; + int n,n2,l,i,j,tlen; + static MP *w,*psum; + static struct cdlm *tab; + static int wlen; + static int rtlen; if ( !p ) *pr = 0; else { - for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) { - i = ITOS(m->c); STOQ(i,q); t = (P)q; - for ( i = 0, d = m->dl, tvl = dvl; - i < n; tvl = NEXT(tvl), i++ ) { - MKV(tvl->v,r); STOQ(d->d[i],q); pwrp(vl,r,q,&u); - mulp(vl,t,u,&w); t = w; + for ( m = BDY(p), l = 0; m; m = NEXT(m), l++ ); + if ( l > wlen ) { + if ( w ) GCFREE(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 ) GCFREE(tab); + if ( psum ) GCFREE(psum); + rtlen = tlen; + tab = (struct cdlm *)MALLOC(rtlen*sizeof(struct cdlm)); + psum = (MP *)MALLOC(rtlen*sizeof(MP)); + } + bzero(psum,tlen*sizeof(MP)); + for ( i = l-1; i >= 0; i-- ) { + bzero(tab,tlen*sizeof(struct cdlm)); + weyl_mulmmm_dup(mod,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) = (Obj)STOI(tab[j].c); NEXT(m) = psum[j]; + psum[j] = m; + } } - addp(vl,s,t,&u); s = u; } - *pr = s; + for ( j = tlen-1, r = 0; j >= 0; j-- ) + if ( psum[j] ) { + MKDP(n,psum[j],t); addmd_destructive(mod,r,t,&t1); r = t1; + } + if ( r ) + r->sugar = p->sugar + m0->dl->td; + *pr = r; } } -void _dp_red_mod(p1,p2,mod,rp) -DP p1,p2; -int mod; -DP *rp; +/* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ + +void weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen) { - int i,n; - DL d1,d2,d; - MP m; - DP t,s; - int c,c1; + int c,c0,c1; + DL d,d0,d1,dt; + int i,j,a,b,k,l,n2,s,min,curlen; + struct cdlm *p; + static int *ctab; + static struct cdlm *tab; + static int tablen; + static struct cdlm *tmptab; + static int tmptablen; - n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; - NEWDL(d,n); d->td = d1->td - d2->td; - for ( i = 0; i < n; i++ ) - d->d[i] = d1->d[i]-d2->d[i]; - c = invm(ITOS(BDY(p2)->c),mod); c1 = dmar(c,ITOS(BDY(p1)->c),0,mod); - NEWMP(m); m->dl = d; m->c = STOI(mod-c1); NEXT(m) = 0; - MKDP(n,m,s); s->sugar = d->td; - _mulmd(CO,mod,p2,s,&t); _addmd(CO,mod,p1,t,rp); -} + if ( !m0 || !m1 ) { + rtab[0].c = 0; + rtab[0].d = 0; + return; + } + c0 = ITOS(C(m0)); c1 = ITOS(C(m1)); + c = dmar(c0,c1,0,mod); + d0 = m0->dl; d1 = m1->dl; + n2 = n>>1; + curlen = 1; -void _dp_mod(p,mod,subst,rp) -DP p; -int mod; -NODE subst; -DP *rp; -{ - MP m,mr,mr0; - P t,s; - NODE tn; + 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 ( !p ) - *rp = 0; - else { - for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - for ( tn = subst, s = m->c; tn; tn = NEXT(NEXT(tn)) ) { - substp(CO,s,BDY(tn),BDY(NEXT(tn)),&t); - s = t; - } - ptomp(mod,s,&t); - if ( t ) { - NEXTMP(mr0,mr); mr->c = STOI(CONT((MQ)t)); mr->dl = m->dl; - } - } - if ( mr0 ) { - NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; - } else - *rp = 0; + if ( rtablen > tmptablen ) { + if ( tmptab ) GCFREE(tmptab); + tmptab = (struct cdlm *)MALLOC(rtablen*sizeof(struct cdlm)); + tmptablen = rtablen; } -} -void _dp_sp_mod(p1,p2,mod,rp) -DP p1,p2; -int mod; -DP *rp; -{ - int i,n,td; - int *w; - DL d1,d2,d; - MP m; - DP t,s,u; + for ( i = 0; i < n2; i++ ) { + a = d0->d[i]; b = d1->d[n2+i]; + k = d0->d[n2+i]; l = d1->d[i]; - n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; - w = (int *)ALLOCA(n*sizeof(int)); - for ( i = 0, td = 0; i < n; i++ ) { - w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; + /* degree of xi^a*(Di^k*xi^l)*Di^b */ + a += l; + b += k; + s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); + + if ( !k || !l ) { + 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 ) GCFREE(tab); + if ( ctab ) GCFREE(ctab); + tablen = k+1; + tab = (struct cdlm *)MALLOC(tablen*sizeof(struct cdlm)); + ctab = (int *)MALLOC(tablen*sizeof(int)); + } + /* compute xi^a*(Di^k*xi^l)*Di^b */ + min = MIN(k,l); + mkwcm(k,l,mod,ctab); + bzero(tab,(k+1)*sizeof(struct cdlm)); + /* n&1 != 0 => homogenized computation; dx-xd=h^2 */ + if ( n & 1 ) + for ( j = 0; j <= min; j++ ) { + NEWDL(d,n); + d->d[i] = a-j; d->d[n2+i] = b-j; + d->td = s; + d->d[n-1] = s-(MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i)); + tab[j].d = d; + tab[j].c = ctab[j]; + } + else + for ( j = 0; j <= min; j++ ) { + NEWDL(d,n); + d->d[i] = a-j; d->d[n2+i] = b-j; + d->td = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i); /* XXX */ + tab[j].d = d; + tab[j].c = ctab[j]; + } + comm_mulmd_tab_destructive(mod,n,rtab,curlen,tab,k+1); + curlen *= k+1; } - NEWDL(d,n); d->td = td - d1->td; - for ( i = 0; i < n; i++ ) - d->d[i] = w[i] - d1->d[i]; - NEWMP(m); m->dl = d; m->c = BDY(p2)->c; NEXT(m) = 0; - MKDP(n,m,s); s->sugar = d->td; _mulmd(CO,mod,p1,s,&t); - NEWDL(d,n); d->td = td - d2->td; - for ( i = 0; i < n; i++ ) - d->d[i] = w[i] - d2->d[i]; - NEWMP(m); m->dl = d; m->c = STOI(mod - ITOS(BDY(p1)->c)); NEXT(m) = 0; - MKDP(n,m,s); s->sugar = d->td; _mulmd(CO,mod,p2,s,&u); - _addmd(CO,mod,t,u,rp); } -void _dp_sp_component_mod(p1,p2,mod,f1,f2) -DP p1,p2; -int mod; -DP *f1,*f2; +void comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1) { - int i,n,td; - int *w; - DL d1,d2,d; - MP m; - DP t,s,u; + int i,j; + struct cdlm *p; + int c; + DL d; - n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; - w = (int *)ALLOCA(n*sizeof(int)); - for ( i = 0, td = 0; i < n; i++ ) { - w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; + for ( j = 1, p = t+n; 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 ) { + p->c = dmar(t[i].c,c,0,mod); + adddl_dup(nv,t[i].d,d,&p->d); + } + } } - NEWDL(d,n); d->td = td - d1->td; - for ( i = 0; i < n; i++ ) - d->d[i] = w[i] - d1->d[i]; - NEWMP(m); m->dl = d; m->c = BDY(p2)->c; NEXT(m) = 0; - MKDP(n,m,s); s->sugar = d->td; _mulmd(CO,mod,p1,s,f1); - NEWDL(d,n); d->td = td - d2->td; - for ( i = 0; i < n; i++ ) - d->d[i] = w[i] - d2->d[i]; - NEWMP(m); m->dl = d; m->c = BDY(p1)->c; NEXT(m) = 0; - MKDP(n,m,s); s->sugar = d->td; _mulmd(CO,mod,p2,s,f2); + c = t1[0].c; + d = t1[0].d; + for ( i = 0, p = t; i < n; i++, p++ ) + if ( t[i].c ) { + p->c = dmar(t[i].c,c,0,mod); + /* t[i].d += d */ + adddl_destructive(nv,t[i].d,d); + } } -void _printdp(d) -DP d; +void adddl_dup(int n,DL d1,DL d2,DL *dr) { - int n,i; - MP m; - DL dl; + DL dt; + int i; - if ( !d ) { - printf("0"); return; - } - for ( n = d->nv, m = BDY(d); m; m = NEXT(m) ) { - printf("%d*<<",ITOS(m->c)); - for ( i = 0, dl = m->dl; i < n-1; i++ ) - printf("%d,",dl->d[i]); - printf("%d",dl->d[i]); - printf(">>"); - if ( NEXT(m) ) - printf("+"); - } + NEWDL(dt,n); + *dr = dt; + dt->td = d1->td + d2->td; + for ( i = 0; i < n; i++ ) + dt->d[i] = d1->d[i]+d2->d[i]; }