=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/distm.c,v retrieving revision 1.1 retrieving revision 1.7 diff -u -p -r1.1 -r1.7 --- OpenXM_contrib2/asir2000/engine/distm.c 1999/12/03 07:39:08 1.1 +++ OpenXM_contrib2/asir2000/engine/distm.c 2000/12/05 06:59:16 1.7 @@ -1,19 +1,67 @@ -/* $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 1.6 2000/08/22 05:04:05 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 comm_mulmd(); +void weyl_mulmd(); +void weyl_mulmdm(); +void weyl_mulmmm(); +void _comm_mulmd(); +void _weyl_mulmd(); +void _weyl_mulmmm(); +void _weyl_mulmdm(); + void ptomd(vl,mod,dvl,p,pr) VL vl,dvl; int mod; @@ -62,7 +110,7 @@ DP *pr; 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; + comm_mulmd(vl,mod,t,u,&r); addmd(vl,mod,r,s,&t); s = t; } *pr = s; } @@ -196,8 +244,22 @@ VL vl; int mod; DP p1,p2,*pr; { + if ( !do_weyl ) + comm_mulmd(vl,mod,p1,p2,pr); + else + weyl_mulmd(vl,mod,p1,p2,pr); +} + +void comm_mulmd(vl,mod,p1,p2,pr) +VL vl; +int mod; +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; @@ -206,13 +268,61 @@ 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 ) 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-- ) { + mulmdm(vl,mod,p1,w[i],&t); addmd(vl,mod,s,t,&u); s = u; + } + bzero(w,l*sizeof(MP)); *pr = s; } } +void weyl_mulmd(vl,mod,p1,p2,pr) +VL vl; +int mod; +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; + 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 ) 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-- ) { + 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,mod,p,m0,pr) VL vl; int mod; @@ -245,215 +355,166 @@ DP *pr; } } -void mulmdc(vl,mod,p,c,pr) +void weyl_mulmdm(vl,mod,p,m0,pr) VL vl; int mod; DP p; -P c; +MP m0; DP *pr; { - MP m,mr,mr0; - int t; - MQ q; + DP r,t,t1; + MP m; + int n,l,i; + static MP *w; + static int wlen; - if ( !p || !c ) + if ( !p ) *pr = 0; else { - for ( mr0 = 0, m = BDY(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; - } else - mulmp(vl,mod,C(m),c,&C(mr)); - mr->dl = m->dl; + 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; } - NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); - if ( *pr ) - (*pr)->sugar = p->sugar; + 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; } } -void divsmdc(vl,mod,p,c,pr) +/* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ + +void weyl_mulmmm(vl,mod,m0,m1,n,pr) VL vl; int mod; -DP p; -P c; +MP m0,m1; +int n; DP *pr; { MP m,mr,mr0; + MQ mq; + DP r,t,t1; + P c,c0,c1,cc; + DL d,d0,d1; + int i,j,a,b,k,l,n2,s,min; + static int *tab; + static int tablen; - if ( !c ) - error("disvsdc : division by 0"); - else if ( !p ) + if ( !m0 || !m1 ) *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; - } - NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); - if ( *pr ) - (*pr)->sugar = p->sugar; - } -} + c0 = C(m0); c1 = 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 = (P)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 */ + s = a+k+l+b; + /* compute xi^a*(Di^k*xi^l)*Di^b */ + min = MIN(k,l); -#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; -{ - 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; - 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; + if ( min+1 > tablen ) { + if ( tab ) GC_free(tab); + tab = (int *)MALLOC((min+1)*sizeof(int)); + tablen = min+1; } - addmp(vl,mod,s,t,&u); s = u; + 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] = 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]); + STOMQ(tab[j],mq); mr->c = (P)mq; mr->dl = d; + } + else + for ( mr0 = 0, s = 0, j = 0; j <= min; j++ ) { + NEXTMP(mr0,mr); 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 */ + STOMQ(tab[j],mq); mr->c = (P)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; } - mptop(s,pr); + mulmdc(vl,mod,r,c,pr); } } -void _addmd(vl,mod,p1,p2,pr) +void mulmdc(vl,mod,p,c,pr) VL vl; int mod; -DP p1,p2,*pr; +DP p; +P c; +DP *pr; { - int n; - MP m1,m2,mr,mr0; + MP m,mr,mr0; int t; + MQ q; - if ( !p1 ) - *pr = p2; - else if ( !p2 ) - *pr = p1; - else { - for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) - switch ( (*cmpdl)(n,m1->dl,m2->dl) ) { - case 0: - t = (ITOS(C(m1))+ITOS(C(m2))) - mod; - if ( t < 0 ) - t += mod; - if ( t ) { - NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = STOI(t); - } - m1 = NEXT(m1); m2 = NEXT(m2); break; - case 1: - NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = C(m1); - m1 = NEXT(m1); break; - case -1: - NEXTMP(mr0,mr); mr->dl = m2->dl; C(mr) = C(m2); - m2 = NEXT(m2); break; - } - if ( !mr0 ) - if ( m1 ) - mr0 = m1; - else if ( m2 ) - mr0 = m2; - else { - *pr = 0; - return; - } - else if ( m1 ) - NEXT(mr) = m1; - else if ( m2 ) - NEXT(mr) = m2; - else - NEXT(mr) = 0; - MKDPM(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; -{ - DP t; - - if ( !p2 ) - *pr = p1; - else { - _chsgnmd(mod,p2,&t); _addmd(vl,mod,p1,t,pr); - } -} - -void _chsgnmd(mod,p,pr) -int mod; -DP p,*pr; -{ - MP m,mr,mr0; - - if ( !p ) + if ( !p || !c ) *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; + 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; + } else + mulmp(vl,mod,C(m),c,&C(mr)); + mr->dl = m->dl; } - NEXT(mr) = 0; MKDPM(NV(p),mr0,*pr); + NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); if ( *pr ) (*pr)->sugar = p->sugar; } } -void _mulmd(vl,mod,p1,p2,pr) +void divsmdc(vl,mod,p,c,pr) VL vl; int mod; -DP p1,p2,*pr; -{ - MP m; - DP s,t,u; - - 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; - } - *pr = s; - } -} - -void _mulmdm(vl,mod,p,m0,pr) -VL vl; -int mod; DP p; -MP m0; +P c; DP *pr; { MP m,mr,mr0; - DL d; - int c,n,r; - if ( !p ) + if ( !c ) + error("disvsdc : division by 0"); + else if ( !p ) *pr = 0; else { - 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); + 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; } - 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; + (*pr)->sugar = p->sugar; } } @@ -485,27 +546,6 @@ P *pr; } } -void _dp_red_mod(p1,p2,mod,rp) -DP p1,p2; -int mod; -DP *rp; -{ - int i,n; - DL d1,d2,d; - MP m; - DP t,s; - int c,c1; - - 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); -} - void _dp_mod(p,mod,subst,rp) DP p; int mod; @@ -536,61 +576,25 @@ DP *rp; } } -void _dp_sp_mod(p1,p2,mod,rp) -DP p1,p2; +void _dp_monic(p,mod,rp) +DP p; int mod; DP *rp; { - int i,n,td; - int *w; - DL d1,d2,d; - MP m; - DP t,s,u; + MP m,mr,mr0; + int c,c1; + NODE tn; - 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]; + 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 = STOI(c1); mr->dl = m->dl; + } + NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; } - 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; -{ - int i,n,td; - int *w; - DL d1,d2,d; - MP m; - DP t,s,u; - - 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]; - } - 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); } void _printdp(d)