=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/parse/puref.c,v retrieving revision 1.1.1.1 retrieving revision 1.16 diff -u -p -r1.1.1.1 -r1.16 --- OpenXM_contrib2/asir2000/parse/puref.c 1999/12/03 07:39:12 1.1.1.1 +++ OpenXM_contrib2/asir2000/parse/puref.c 2019/11/12 10:52:05 1.16 @@ -1,72 +1,120 @@ -/* $OpenXM: OpenXM/src/asir99/parse/puref.c,v 1.1.1.1 1999/11/10 08:12:34 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/parse/puref.c,v 1.15 2018/03/29 01:32:54 noro Exp $ +*/ #include "ca.h" #include "parse.h" +void instoobj(PFINS ins,Obj *rp); + NODE pflist; -void searchpf(name,fp) -char *name; -FUNC *fp; +void searchpf(char *name,FUNC *fp) { - NODE node; - PF pf; - FUNC t; + NODE node; + PF pf; + FUNC t; - for ( node = pflist; node; node = NEXT(node) ) - if ( !strcmp(name,((PF)node->body)->name) ) { - pf = (PF)node->body; - *fp = t = (FUNC)MALLOC(sizeof(struct oFUNC)); - t->name = name; t->id = A_PURE; t->argc = pf->argc; - t->f.puref = pf; - return; - } - *fp = 0; + for ( node = pflist; node; node = NEXT(node) ) + if ( !strcmp(name,((PF)node->body)->name) ) { + pf = (PF)node->body; + *fp = t = (FUNC)MALLOC(sizeof(struct oFUNC)); + t->name = name; t->id = A_PURE; t->argc = pf->argc; + t->f.puref = pf; t->fullname = name; + return; + } + *fp = 0; } -void searchc(name,fp) -char *name; -FUNC *fp; +void searchc(char *name,FUNC *fp) { - NODE node; - PF pf; - FUNC t; + NODE node; + PF pf; + FUNC t; - for ( node = pflist; node; node = NEXT(node) ) - if ( !strcmp(name,((PF)node->body)->name) - && !((PF)node->body)->argc ) { - pf = (PF)node->body; - *fp = t = (FUNC)MALLOC(sizeof(struct oFUNC)); - t->name = name; t->id = A_PURE; t->argc = pf->argc; - t->f.puref = pf; - return; - } - *fp = 0; + for ( node = pflist; node; node = NEXT(node) ) + if ( !strcmp(name,((PF)node->body)->name) + && !((PF)node->body)->argc ) { + pf = (PF)node->body; + *fp = t = (FUNC)MALLOC(sizeof(struct oFUNC)); + t->name = name; t->id = A_PURE; t->argc = pf->argc; + t->f.puref = pf; t->fullname = name; + return; + } + *fp = 0; } -void mkpf(name,body,argc,args,parif,libmf,simp,pfp) -char *name; -Obj body; -int argc; -V *args; -int (*parif)(),(*simp)(); -double (*libmf)(); -PF *pfp; +#if defined(INTERVAL) +void mkpf(char *name,Obj body,int argc,V *args, + int (*parif)(),double (*libmf)(), int (*simp)(), void (**intervalfunc)(), PF *pfp) +#else +void mkpf(char *name,Obj body,int argc,V *args, + int (*parif)(),double (*libmf)(), int (*simp)(),PF *pfp) +#endif { - PF pf; - NODE node; + PF pf; + NODE node; - NEWPF(pf); pf->name = name; pf->body = body; - pf->argc = argc; pf->args = args; pf->pari = parif; pf->simplify = simp; - pf->libm = libmf; - for ( node = pflist; node; node = NEXT(node) ) - if ( !strcmp(((PF)BDY(node))->name,name) ) - break; - if ( !node ) { - NEWNODE(node); NEXT(node) = pflist; pflist = node; -/* fprintf(stderr,"%s() defined.\n",name); */ - } else - fprintf(stderr,"%s() redefined.\n",name); - BDY(node) = (pointer)pf; *pfp = pf; + NEWPF(pf); pf->name = name; pf->body = body; + pf->argc = argc; pf->args = args; pf->pari = parif; pf->simplify = simp; + pf->libm = libmf; +#if defined(INTERVAL) + pf->intervalfunc = intervalfunc; +#endif + for ( node = pflist; node; node = NEXT(node) ) + if ( !strcmp(((PF)BDY(node))->name,name) ) + break; + if ( !node ) { + NEWNODE(node); NEXT(node) = pflist; pflist = node; +/* fprintf(stderr,"%s() defined.\n",name); */ + } else + fprintf(stderr,"%s() redefined.\n",name); + BDY(node) = (pointer)pf; *pfp = pf; } /* @@ -75,685 +123,744 @@ PF *pfp; each arg. */ -void mkpfins(pf,args,vp) -PF pf; -V *args; -V *vp; +void mkpfins(PF pf,V *args,V *vp) { - V v; - PFINS ins; - PFAD ad; - int i; - P t; + V v; + PFINS ins; + PFAD ad; + int i; + P t; - NEWV(v); NAME(v) = 0; v->attr = (pointer)V_PF; - ins = (PFINS)MALLOC(sizeof(PF)+pf->argc*sizeof(struct oPFAD)); - bzero((char *)ins,(int)(sizeof(PF)+pf->argc*sizeof(struct oPFAD))); - ins->pf = pf; - v->priv = (pointer)ins; - for ( i = 0, ad = ins->ad; i < pf->argc; i++ ) { - ad[i].d = 0; MKV(args[i],t); ad[i].arg = (Obj)t; - } - appendpfins(v,vp); + NEWV(v); NAME(v) = 0; v->attr = (pointer)V_PF; + ins = (PFINS)MALLOC(sizeof(PF)+pf->argc*sizeof(struct oPFAD)); + bzero((char *)ins,(int)(sizeof(PF)+pf->argc*sizeof(struct oPFAD))); + ins->pf = pf; + v->priv = (pointer)ins; + for ( i = 0, ad = ins->ad; i < pf->argc; i++ ) { + ad[i].d = 0; MKV(args[i],t); ad[i].arg = (Obj)t; + } + appendpfins(v,vp); } /* the same as above. Argements are given as an array of Obj */ -void _mkpfins(pf,args,vp) -PF pf; -Obj *args; -V *vp; +void _mkpfins(PF pf,Obj *args,V *vp) { - V v; - PFINS ins; - PFAD ad; - int i; + V v; + PFINS ins; + PFAD ad; + int i; - NEWV(v); NAME(v) = 0; v->attr = (pointer)V_PF; - ins = (PFINS)MALLOC(sizeof(PF)+pf->argc*sizeof(struct oPFAD)); - bzero((char *)ins,(int)(sizeof(PF)+pf->argc*sizeof(struct oPFAD))); - ins->pf = pf; - v->priv = (pointer)ins; - for ( i = 0, ad = ins->ad; i < pf->argc; i++ ) { - ad[i].d = 0; ad[i].arg = args[i]; - } - appendpfins(v,vp); + NEWV(v); NAME(v) = 0; v->attr = (pointer)V_PF; + ins = (PFINS)MALLOC(sizeof(PF)+pf->argc*sizeof(struct oPFAD)); + bzero((char *)ins,(int)(sizeof(PF)+pf->argc*sizeof(struct oPFAD))); + ins->pf = pf; + v->priv = (pointer)ins; + for ( i = 0, ad = ins->ad; i < pf->argc; i++ ) { + ad[i].d = 0; ad[i].arg = args[i]; + } + appendpfins(v,vp); } /* the same as above. darray is also given */ -void _mkpfins_with_darray(pf,args,darray,vp) -PF pf; -Obj *args; -int *darray; -V *vp; +void _mkpfins_with_darray(PF pf,Obj *args,int *darray,V *vp) { - V v; - PFINS ins; - PFAD ad; - int i; + V v; + PFINS ins; + PFAD ad; + int i; - NEWV(v); NAME(v) = 0; v->attr = (pointer)V_PF; - ins = (PFINS)MALLOC(sizeof(PF)+pf->argc*sizeof(struct oPFAD)); - bzero((char *)ins,(int)(sizeof(PF)+pf->argc*sizeof(struct oPFAD))); - ins->pf = pf; - v->priv = (pointer)ins; - for ( i = 0, ad = ins->ad; i < pf->argc; i++ ) { - ad[i].d = darray[i]; ad[i].arg = args[i]; - } - appendpfins(v,vp); + NEWV(v); NAME(v) = 0; v->attr = (pointer)V_PF; + ins = (PFINS)MALLOC(sizeof(PF)+pf->argc*sizeof(struct oPFAD)); + bzero((char *)ins,(int)(sizeof(PF)+pf->argc*sizeof(struct oPFAD))); + ins->pf = pf; + v->priv = (pointer)ins; + for ( i = 0, ad = ins->ad; i < pf->argc; i++ ) { + ad[i].d = darray[i]; ad[i].arg = args[i]; + } + appendpfins(v,vp); } -void appendpfins(v,vp) -V v; -V *vp; +void appendpfins(V v,V *vp) { - PF fdef; - PFAD ad,tad; - NODE node; - int i; + PF fdef; + PFAD ad,tad; + NODE node; + int i; - fdef = ((PFINS)v->priv)->pf; ad = ((PFINS)v->priv)->ad; - for ( node = fdef->ins; node; node = NEXT(node) ) { - for ( i = 0, tad = ((PFINS)((V)node->body)->priv)->ad; - i < fdef->argc; i++ ) - if ( (ad[i].d != tad[i].d) || compr(CO,ad[i].arg,tad[i].arg) ) - break; - if ( i == fdef->argc ) { - *vp = (V)node->body; - return; - } - } - NEWNODE(node); node->body = (pointer)v; NEXT(node) = fdef->ins; - fdef->ins = node; appendvar(CO,v); *vp = v; + fdef = ((PFINS)v->priv)->pf; ad = ((PFINS)v->priv)->ad; + for ( node = fdef->ins; node; node = NEXT(node) ) { + for ( i = 0, tad = ((PFINS)((V)node->body)->priv)->ad; + i < fdef->argc; i++ ) + if ( (ad[i].d != tad[i].d) || !equalr(CO,ad[i].arg,tad[i].arg) ) + break; + if ( i == fdef->argc ) { + *vp = (V)node->body; + return; + } + } + NEWNODE(node); node->body = (pointer)v; NEXT(node) = fdef->ins; + fdef->ins = node; appendvar(CO,v); *vp = v; } -void duppfins(v,vp) -V v; -V *vp; +void duppfins(V v,V *vp) { - V tv; - PFINS tins; - int size; + V tv; + PFINS tins; + int size; - NEWV(tv); tv->name = v->name; tv->attr = v->attr; - size = sizeof(PF)+((PFINS)v->priv)->pf->argc*sizeof(struct oPFAD); - tins = (PFINS)MALLOC(size); bcopy((char *)v->priv,(char *)tins,size); - tv->priv = (pointer)tins; - *vp = tv; + NEWV(tv); tv->name = v->name; tv->attr = v->attr; + size = sizeof(PF)+((PFINS)v->priv)->pf->argc*sizeof(struct oPFAD); + tins = (PFINS)MALLOC(size); bcopy((char *)v->priv,(char *)tins,size); + tv->priv = (pointer)tins; + *vp = tv; } -void derivvar(vl,pf,v,a) -VL vl; -V pf,v; -Obj *a; +void derivvar(VL vl,V pf,V v,Obj *a) { - Obj t,s,u,w,u1; - P p; - V tv,sv; - PF fdef; - PFAD ad; - int i,j; - - fdef = ((PFINS)pf->priv)->pf; ad = ((PFINS)pf->priv)->ad; - if ( fdef->deriv ) { - for ( t = 0, i = 0; i < fdef->argc; i++ ) { - derivr(vl,ad[i].arg,v,&s); - for ( j = 0, u = fdef->deriv[i]; j < fdef->argc; j++ ) { - substr(vl,0,u,fdef->args[j],ad[j].arg,&u1); u = u1; - } - mulr(vl,s,u,&w); addr(vl,t,w,&s); t = s; - } - *a = t; - } else { - for ( t = 0, i = 0; i < fdef->argc; i++ ) { - derivr(vl,ad[i].arg,v,&s); - duppfins(pf,&tv); (((PFINS)tv->priv)->ad)[i].d++; - appendpfins(tv,&sv); - MKV(sv,p); mulr(vl,s,(Obj)p,&w); addr(vl,t,w,&s); t = s; - } - *a = t; - } + Obj t,s,u,w,u1; + P p; + V tv,sv; + PF fdef; + PFAD ad; + int i,j; + + fdef = ((PFINS)pf->priv)->pf; ad = ((PFINS)pf->priv)->ad; + if ( fdef->deriv ) { + for ( t = 0, i = 0; i < fdef->argc; i++ ) { + derivr(vl,ad[i].arg,v,&s); + for ( j = 0, u = fdef->deriv[i]; j < fdef->argc; j++ ) { + substr(vl,0,u,fdef->args[j],ad[j].arg,&u1); u = u1; + } + mulr(vl,s,u,&w); addr(vl,t,w,&s); t = s; + } + *a = t; + } else { + for ( t = 0, i = 0; i < fdef->argc; i++ ) { + derivr(vl,ad[i].arg,v,&s); + duppfins(pf,&tv); (((PFINS)tv->priv)->ad)[i].d++; + appendpfins(tv,&sv); + MKV(sv,p); mulr(vl,s,(Obj)p,&w); addr(vl,t,w,&s); t = s; + } + *a = t; + } } -void derivr(vl,a,v,b) -VL vl; -V v; -Obj a,*b; +void derivr(VL vl,Obj a,V v,Obj *b) { - VL tvl,svl; - Obj r,s,t,u,nm,dn,dnm,ddn,m; + VL tvl,svl; + Obj r,s,t,u,nm,dn,dnm,ddn,m; - if ( !a ) - *b = 0; - else - switch ( OID(a) ) { - case O_N: - *b = 0; break; - case O_P: - clctvr(vl,a,&tvl); - for ( dnm = 0, svl = tvl; svl; svl = NEXT(svl) ) { - if ( svl->v == v ) { - pderivr(vl,a,v,&s); addr(vl,s,dnm,&u); dnm = u; - } else if ( (vid)svl->v->attr == V_PF ) { - pderivr(vl,a,svl->v,&s); derivvar(vl,svl->v,v,&r); - mulr(vl,s,r,&u); addr(vl,u,dnm,&s); dnm = s; - } - } - *b = (Obj)dnm; break; - case O_R: - clctvr(vl,a,&tvl); - nm = (Obj)NM((R)a); dn = (Obj)DN((R)a); - for ( dnm = ddn = 0, svl = tvl; svl; svl = NEXT(svl) ) { - if ( svl->v == v ) { - pderivr(vl,nm,v,&s); addr(vl,s,dnm,&u); dnm = u; - pderivr(vl,dn,v,&s); addr(vl,s,ddn,&u); ddn = u; - } else if ( (vid)svl->v->attr == V_PF ) { - pderivr(vl,nm,svl->v,&s); derivvar(vl,svl->v,v,&r); - mulr(vl,s,r,&u); addr(vl,u,dnm,&s); dnm = s; - pderivr(vl,dn,svl->v,&s); derivvar(vl,svl->v,v,&r); - mulr(vl,s,r,&u); addr(vl,u,ddn,&s); ddn = s; - } - } - mulr(vl,dnm,dn,&t); mulr(vl,ddn,nm,&s); - subr(vl,t,s,&u); reductr(vl,u,&t); - if ( !t ) - *b = 0; - else { - mulp(vl,(P)dn,(P)dn,(P *)&m); divr(vl,t,m,b); - } - break; - } + if ( !a ) + *b = 0; + else + switch ( OID(a) ) { + case O_N: + *b = 0; break; + case O_P: + clctvr(vl,a,&tvl); + for ( dnm = 0, svl = tvl; svl; svl = NEXT(svl) ) { + if ( svl->v == v ) { + pderivr(vl,a,v,&s); addr(vl,s,dnm,&u); dnm = u; + } else if ( (vid)svl->v->attr == V_PF ) { + pderivr(vl,a,svl->v,&s); derivvar(vl,svl->v,v,&r); + mulr(vl,s,r,&u); addr(vl,u,dnm,&s); dnm = s; + } + } + *b = (Obj)dnm; break; + case O_R: + clctvr(vl,a,&tvl); + nm = (Obj)NM((R)a); dn = (Obj)DN((R)a); + for ( dnm = ddn = 0, svl = tvl; svl; svl = NEXT(svl) ) { + if ( svl->v == v ) { + pderivr(vl,nm,v,&s); addr(vl,s,dnm,&u); dnm = u; + pderivr(vl,dn,v,&s); addr(vl,s,ddn,&u); ddn = u; + } else if ( (vid)svl->v->attr == V_PF ) { + pderivr(vl,nm,svl->v,&s); derivvar(vl,svl->v,v,&r); + mulr(vl,s,r,&u); addr(vl,u,dnm,&s); dnm = s; + pderivr(vl,dn,svl->v,&s); derivvar(vl,svl->v,v,&r); + mulr(vl,s,r,&u); addr(vl,u,ddn,&s); ddn = s; + } + } + mulr(vl,dnm,dn,&t); mulr(vl,ddn,nm,&s); + subr(vl,t,s,&u); reductr(vl,u,&t); + if ( !t ) + *b = 0; + else { + mulp(vl,(P)dn,(P)dn,(P *)&m); divr(vl,t,m,b); + } + break; + } } -void substr(vl,partial,a,v,b,c) -VL vl; -int partial; -Obj a; -V v; -Obj b; -Obj *c; +void simple_derivr(VL vl,Obj a,V v,Obj *b) { - Obj nm,dn,t; + Obj r,s,t,u,nm,dn; - if ( !a ) - *c = 0; - else { - switch ( OID(a) ) { - case O_N: - *c = a; break; - case O_P: - substpr(vl,partial,a,v,b,c); break; - case O_R: - substpr(vl,partial,(Obj)NM((R)a),v,b,&nm); - substpr(vl,partial,(Obj)DN((R)a),v,b,&dn); - divr(vl,nm,dn,&t); reductr(vl,t,c); - break; - default: - *c = 0; break; - } - } + if ( !a || NUM(a) ) + *b = 0; + else + switch ( OID(a) ) { + case O_P: + pderivr(vl,a,v,b); break; + case O_R: + nm = (Obj)NM((R)a); dn = (Obj)DN((R)a); + /* (nm/dn)' = nm'/dn - dn'/dn*nm/dn */ + pderivr(vl,nm,v,&s); divr(vl,s,dn,&u); reductr(vl,u,&t); + pderivr(vl,dn,v,&s); divr(vl,s,dn,&u); reductr(vl,u,&s); mulr(vl,s,a,&u); + subr(vl,t,u,&s); reductr(vl,s,b); + break; + default: + error("simple_derivr : invalid argument"); + } } -void substpr(vl,partial,p,v0,p0,pr) -VL vl; -int partial; -V v0; -Obj p; -Obj p0; -Obj *pr; +int obj_is_dependent(Obj a,V v) { - P x; - Obj t,m,c,s,a; - DCP dc; - Q d; - V v; - PF pf; - PFAD ad,tad; - PFINS tins; - int i; + if ( !a || OID(a) <= O_N ) return 0; + else if ( OID(a) == O_P ) return poly_is_dependent((P)a,v); + else if ( OID(a) == O_R ) return poly_is_dependent(NM((R)a),v) + || poly_is_dependent(DN((R)a),v); + else + error("obj_is_dependent : not implemented"); +} - if ( !p ) - *pr = 0; - else if ( NUM(p) ) - *pr = (Obj)p; - else if ( (v = VR((P)p)) != v0 ) { - if ( !partial && ((vid)v->attr == V_PF) ) { - ad = ((PFINS)v->priv)->ad; pf = ((PFINS)v->priv)->pf; - tins = (PFINS)CALLOC(1,sizeof(PF)+pf->argc*sizeof(struct oPFAD)); - tins->pf = pf; - for ( i = 0, tad = tins->ad; i < pf->argc; i++ ) { - tad[i].d = ad[i].d; - substr(vl,partial,ad[i].arg,v0,p0,&tad[i].arg); - } - simplify_ins(tins,(Obj *)&x); - } else - MKV(VR((P)p),x); - for ( c = 0, dc = DC((P)p); dc; dc = NEXT(dc) ) { - substpr(vl,partial,(Obj)COEF(dc),v0,p0,&t); - if ( DEG(dc) ) { - pwrp(vl,x,DEG(dc),(P *)&s); mulr(vl,s,t,&m); - addr(vl,m,c,&a); c = a; - } else { - addr(vl,t,c,&a); c = a; - } - } - *pr = c; - } else { - dc = DC((P)p); - if ( !partial ) - substpr(vl,partial,(Obj)COEF(dc),v0,p0,&c); - else - c = (Obj)COEF(dc); - for ( d = DEG(dc), dc = NEXT(dc); dc; d = DEG(dc), dc = NEXT(dc) ) { - subq(d,DEG(dc),(Q *)&t); pwrr(vl,p0,t,&s); mulr(vl,s,c,&m); - if ( !partial ) - substpr(vl,partial,(Obj)COEF(dc),v0,p0,&t); - else - t = (Obj)COEF(dc); - addr(vl,m,t,&c); - } - if ( d ) { - pwrr(vl,p0,(Obj)d,&t); mulr(vl,t,c,&m); - c = m; - } - *pr = c; - } +int poly_is_dependent(P p,V v) +{ + DCP dc; + + if ( !p || OID(p) <= O_N ) return 0; + else if ( v == VR(p) ) return 1; + else { + for ( dc = DC(p); dc; dc = NEXT(dc) ) + if ( poly_is_dependent(COEF(dc),v) ) return 1; + return 0; + } } -void evalr(vl,a,prec,c) -VL vl; -Obj a; -int prec; -Obj *c; +void gen_pwrr(VL vl,Obj a,Obj d,Obj *r) { - Obj nm,dn; + if ( INT(d) ) + pwrr(vl,a,d,r); + else + mkpow(vl,a,d,r); +} - if ( !a ) - *c = 0; - else { - switch ( OID(a) ) { - case O_N: - *c = a; break; - case O_P: - evalp(vl,(P)a,prec,(P *)c); break; - case O_R: - evalp(vl,NM((R)a),prec,(P *)&nm); evalp(vl,DN((R)a),prec,(P *)&dn); - divr(vl,nm,dn,c); - break; - default: - error("evalr : not implemented"); break; - } - } +void substr(VL vl,int partial,Obj a,V v,Obj b,Obj *c) +{ + Obj nm,dn,t; + + if ( !a ) + *c = 0; + else { + switch ( OID(a) ) { + case O_N: + *c = a; break; + case O_P: + substpr(vl,partial,a,v,b,c); break; + case O_R: + substpr(vl,partial,(Obj)NM((R)a),v,b,&nm); + substpr(vl,partial,(Obj)DN((R)a),v,b,&dn); + divr(vl,nm,dn,&t); reductr(vl,t,c); + break; + default: + *c = 0; break; + } + } } -void evalp(vl,p,prec,pr) -VL vl; -P p; -int prec; -P *pr; +void substpr(VL vl,int partial,Obj p,V v0,Obj p0,Obj *pr) { - P t; - DCP dc,dcr0,dcr; - Obj u; + P x; + Obj t,m,c,s,a; + DCP dc; + Q d; + V v; + PF pf; + PFAD ad,tad; + PFINS tins; + int i; - if ( !p || NUM(p) ) - *pr = p; - else { - for ( dcr0 = 0, dc = DC((P)p); dc; dc = NEXT(dc) ) { - evalp(vl,COEF(dc),prec,&t); - if ( t ) { - NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = t; - } - } - if ( !dcr0 ) { - *pr = 0; return; - } else { - NEXT(dcr) = 0; MKP(VR(p),dcr0,t); - } - if ( NUM(t) || (VR(t) != VR(p)) || ((vid)VR(p)->attr != V_PF) ) { - *pr = t; return; - } else { - evalv(vl,VR(p),prec,&u); substr(vl,1,(Obj)t,VR(p),u,(Obj *)pr); - } - } + if ( !p ) + *pr = 0; + else if ( NUM(p) ) + *pr = (Obj)p; + else if ( (v = VR((P)p)) != v0 ) { + if ( !partial && ((vid)v->attr == V_PF) ) { + ad = ((PFINS)v->priv)->ad; pf = ((PFINS)v->priv)->pf; + tins = (PFINS)CALLOC(1,sizeof(PF)+pf->argc*sizeof(struct oPFAD)); + tins->pf = pf; + for ( i = 0, tad = tins->ad; i < pf->argc; i++ ) { + tad[i].d = ad[i].d; + substr(vl,partial,ad[i].arg,v0,p0,&tad[i].arg); + } + simplify_ins(tins,(Obj *)&x); + } else + MKV(VR((P)p),x); + for ( c = 0, dc = DC((P)p); dc; dc = NEXT(dc) ) { + substpr(vl,partial,(Obj)COEF(dc),v0,p0,&t); + if ( DEG(dc) ) { + gen_pwrr(vl,(Obj)x,(Obj)DEG(dc),&s); + mulr(vl,s,t,&m); + addr(vl,m,c,&a); c = a; + } else { + addr(vl,t,c,&a); c = a; + } + } + *pr = c; + } else { + dc = DC((P)p); + if ( !partial ) + substpr(vl,partial,(Obj)COEF(dc),v0,p0,&c); + else + c = (Obj)COEF(dc); + for ( d = DEG(dc), dc = NEXT(dc); dc; d = DEG(dc), dc = NEXT(dc) ) { + subq(d,DEG(dc),(Q *)&t); + gen_pwrr(vl,p0,t,&s); mulr(vl,s,c,&m); + if ( !partial ) + substpr(vl,partial,(Obj)COEF(dc),v0,p0,&t); + else + t = (Obj)COEF(dc); + addr(vl,m,t,&c); + } + if ( d ) { + gen_pwrr(vl,p0,(Obj)d,&t); + mulr(vl,t,c,&m); + c = m; + } + *pr = c; + } } -void evalv(vl,v,prec,rp) -VL vl; -V v; -int prec; -Obj *rp; +void evalr(VL vl,Obj a,int prec,Obj *c) { - PFINS ins,tins; - PFAD ad,tad; - PF pf; - P t; - int i; + Obj nm,dn; - if ( (vid)v->attr != V_PF ) { - MKV(v,t); *rp = (Obj)t; - } else { - ins = (PFINS)v->priv; ad = ins->ad; pf = ins->pf; - tins = (PFINS)CALLOC(1,sizeof(PF)+pf->argc*sizeof(struct oPFAD)); - tins->pf = pf; - for ( i = 0, tad = tins->ad; i < pf->argc; i++ ) { - tad[i].d = ad[i].d; evalr(vl,ad[i].arg,prec,&tad[i].arg); - } - evalins(tins,prec,rp); - } + if ( !a ) + *c = 0; + else { + switch ( OID(a) ) { + case O_N: + *c = a; break; + case O_P: + evalp(vl,(P)a,prec,(P *)c); break; + case O_R: + evalp(vl,NM((R)a),prec,(P *)&nm); evalp(vl,DN((R)a),prec,(P *)&dn); + divr(vl,nm,dn,c); + break; + default: + error("evalr : not implemented"); break; + } + } } -void evalins(ins,prec,rp) -PFINS ins; -int prec; -Obj *rp; +void evalp(VL vl,P p,int prec,P *pr) { - PF pf; - PFAD ad; - int i; - Q q; - V v; - P x; - NODE n0,n; + P t; + DCP dc,dcr0,dcr; + Obj u; - pf = ins->pf; ad = ins->ad; - for ( i = 0; i < pf->argc; i++ ) - if ( ad[i].d || (ad[i].arg && !NUM(ad[i].arg)) ) - break; - if ( (i != pf->argc) || !pf->pari ) { - instov(ins,&v); MKV(v,x); *rp = (Obj)x; - } else { - for ( n0 = 0, i = 0; i < pf->argc; i++ ) { - NEXTNODE(n0,n); BDY(n) = (pointer)ad[i].arg; - } - if ( prec ) { - NEXTNODE(n0,n); STOQ(prec,q); BDY(n) = (pointer)q; - } - if ( n0 ) - NEXT(n) = 0; - (*pf->pari)(n0,rp); - } + if ( !p || NUM(p) ) + *pr = p; + else { + for ( dcr0 = 0, dc = DC((P)p); dc; dc = NEXT(dc) ) { + evalp(vl,COEF(dc),prec,&t); + if ( t ) { + NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = t; + } + } + if ( !dcr0 ) { + *pr = 0; return; + } else { + NEXT(dcr) = 0; MKP(VR(p),dcr0,t); + } + if ( NUM(t) || (VR(t) != VR(p)) || ((vid)VR(p)->attr != V_PF) ) { + *pr = t; return; + } else { + evalv(vl,VR(p),prec,&u); substr(vl,1,(Obj)t,VR(p),u,(Obj *)pr); + } + } } -void devalins(PFINS,Obj *); -void devalv(VL,V,Obj *); -void devalp(VL,P,P *); -void devalr(VL,Obj,Obj *); +void evalv(VL vl,V v,int prec,Obj *rp) +{ + PFINS ins,tins; + PFAD ad,tad; + PF pf; + P t; + int i; -void devalr(vl,a,c) -VL vl; -Obj a; -Obj *c; + if ( (vid)v->attr != V_PF ) { + MKV(v,t); *rp = (Obj)t; + } else { + ins = (PFINS)v->priv; ad = ins->ad; pf = ins->pf; + tins = (PFINS)CALLOC(1,sizeof(PF)+pf->argc*sizeof(struct oPFAD)); + tins->pf = pf; + for ( i = 0, tad = tins->ad; i < pf->argc; i++ ) { + tad[i].d = ad[i].d; evalr(vl,ad[i].arg,prec,&tad[i].arg); + } + evalins(tins,prec,rp); + } +} + +void evalins(PFINS ins,int prec,Obj *rp) { - Obj nm,dn; - double d; - Real r; + PF pf; + PFINS tins; + PFAD ad,tad; + int i; + Q q; + V v; + P x; + NODE n0,n; - if ( !a ) - *c = 0; - else { - switch ( OID(a) ) { - case O_N: - d = ToReal(a); - MKReal(d,r); - *c = (Obj)r; - break; - case O_P: - devalp(vl,(P)a,(P *)c); break; - case O_R: - devalp(vl,NM((R)a),(P *)&nm); - devalp(vl,DN((R)a),(P *)&dn); - divr(vl,nm,dn,c); - break; - default: - error("devalr : not implemented"); break; - } - } + pf = ins->pf; ad = ins->ad; + tins = (PFINS)CALLOC(1,sizeof(PF)+pf->argc*sizeof(struct oPFAD)); + tins->pf = pf; tad = tins->ad; + for ( i = 0; i < pf->argc; i++ ) { + tad[i].d = ad[i].d; evalr(CO,ad[i].arg,prec,&tad[i].arg); + } + for ( i = 0; i < pf->argc; i++ ) + if ( tad[i].d || (tad[i].arg && !NUM(tad[i].arg)) ) break; + if ( (i != pf->argc) || !pf->pari ) { + instoobj(tins,rp); + } else { + for ( n0 = 0, i = 0; i < pf->argc; i++ ) { + NEXTNODE(n0,n); BDY(n) = (pointer)tad[i].arg; + } + if ( prec ) { + NEXTNODE(n0,n); STOQ(prec,q); BDY(n) = (pointer)q; + } + if ( n0 ) + NEXT(n) = 0; + (*pf->pari)(n0,rp); + } } -void devalp(vl,p,pr) -VL vl; -P p; -P *pr; +void devalr(VL vl,Obj a,Obj *c) { - P t; - DCP dc,dcr0,dcr; - Obj u,s; - double d; - Real r; + Obj nm,dn; + double d; + Real r,re,im; + C z; + int nid; - if ( !p || NUM(p) ) { - d = ToReal(p); - MKReal(d,r); - *pr = (P)r; - } else { - for ( dcr0 = 0, dc = DC((P)p); dc; dc = NEXT(dc) ) { - devalp(vl,COEF(dc),&t); - if ( t ) { - NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = t; - } - } - if ( !dcr0 ) - *pr = 0; - else { - NEXT(dcr) = 0; MKP(VR(p),dcr0,t); - if ( NUM(t) ) { - d = ToReal((Num)t); - MKReal(d,r); - *pr = (P)r; - } else if ( (VR(t) != VR(p)) || (VR(p)->attr != (pointer)V_PF) ) - *pr = t; - else { - devalv(vl,VR(p),&u); - substr(vl,1,(Obj)t,VR(p),u,&s); - if ( s && NUM(s) ) { - d = ToReal((Num)s); - MKReal(d,r); - *pr = (P)r; - } else - *pr = (P)s; - } - } - } + if ( !a ) + *c = 0; + else { + switch ( OID(a) ) { + case O_N: + nid = NID((Num)a); + if ( nid == N_C ) { + d = ToReal(((C)a)->r); MKReal(d,re); + d = ToReal(((C)a)->i); MKReal(d,im); + reimtocplx(re,im,&z); + *c = (Obj)z; + } else if ( nid == N_Q || nid == N_R || nid == N_B ) { + d = ToReal(a); + MKReal(d,r); + *c = (Obj)r; + } else + error("devalr : unsupported"); + break; + case O_P: + devalp(vl,(P)a,(P *)c); break; + case O_R: + devalp(vl,NM((R)a),(P *)&nm); + devalp(vl,DN((R)a),(P *)&dn); + divr(vl,nm,dn,c); + break; + default: + error("devalr : not implemented"); break; + } + } } -void devalv(vl,v,rp) -VL vl; -V v; -Obj *rp; +void devalp(VL vl,P p,P *pr) { - PFINS ins,tins; - PFAD ad,tad; - PF pf; - P t; - Obj s; - int i; + P t; + DCP dc,dcr0,dcr; + Obj u,s; + double d; + Real r; - if ( (vid)v->attr != V_PF ) { - MKV(v,t); *rp = (Obj)t; - } else { - ins = (PFINS)v->priv; ad = ins->ad; pf = ins->pf; - tins = (PFINS)CALLOC(1,sizeof(PF)+pf->argc*sizeof(struct oPFAD)); - tins->pf = pf; - for ( i = 0, tad = tins->ad; i < pf->argc; i++ ) { - tad[i].d = ad[i].d; devalr(vl,ad[i].arg,&tad[i].arg); - } - devalins(tins,rp); - } + if ( !p || NUM(p) ) { + d = ToReal(p); + MKReal(d,r); + *pr = (P)r; + } else { + for ( dcr0 = 0, dc = DC((P)p); dc; dc = NEXT(dc) ) { + devalp(vl,COEF(dc),&t); + if ( t ) { + NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = t; + } + } + if ( !dcr0 ) + *pr = 0; + else { + NEXT(dcr) = 0; MKP(VR(p),dcr0,t); + if ( NUM(t) ) { + d = ToReal((Num)t); + MKReal(d,r); + *pr = (P)r; + } else if ( (VR(t) != VR(p)) || (VR(p)->attr != (pointer)V_PF) ) + *pr = t; + else { + devalv(vl,VR(p),&u); + substr(vl,1,(Obj)t,VR(p),u,&s); + if ( s && NUM(s) ) { + d = ToReal((Num)s); + MKReal(d,r); + *pr = (P)r; + } else + *pr = (P)s; + } + } + } } -void devalins(ins,rp) -PFINS ins; -Obj *rp; +void devalv(VL vl,V v,Obj *rp) { - PF pf; - PFAD ad; - int i; - Real r; - double d; - Q q; - V v; - P x; + PFINS ins,tins; + PFAD ad,tad; + PF pf; + P t; + int i; - pf = ins->pf; ad = ins->ad; - for ( i = 0; i < pf->argc; i++ ) - if ( ad[i].d || (ad[i].arg && !NUM(ad[i].arg)) ) - break; - if ( (i != pf->argc) || !pf->libm ) { - instov(ins,&v); MKV(v,x); *rp = (Obj)x; - } else { - switch ( pf->argc ) { - case 0: - d = (*pf->libm)(); break; - case 1: - d = (*pf->libm)(ToReal(ad[0].arg)); break; - case 2: - d = (*pf->libm)(ToReal(ad[0].arg),ToReal(ad[1].arg)); break; - case 3: - d = (*pf->libm)(ToReal(ad[0].arg),ToReal(ad[1].arg), - ToReal(ad[2].arg)); break; - case 4: - d = (*pf->libm)(ToReal(ad[0].arg),ToReal(ad[1].arg), - ToReal(ad[2].arg),ToReal(ad[3].arg)); break; - default: - error("devalv : not supported"); - } - MKReal(d,r); *rp = (Obj)r; - } + if ( (vid)v->attr != V_PF ) { + MKV(v,t); *rp = (Obj)t; + } else { + ins = (PFINS)v->priv; ad = ins->ad; pf = ins->pf; + tins = (PFINS)CALLOC(1,sizeof(PF)+pf->argc*sizeof(struct oPFAD)); + tins->pf = pf; + for ( i = 0, tad = tins->ad; i < pf->argc; i++ ) { + tad[i].d = ad[i].d; devalr(vl,ad[i].arg,&tad[i].arg); + } + devalins(tins,rp); + } } -void simplify_ins(ins,rp) -PFINS ins; -Obj *rp; +void devalins(PFINS ins,Obj *rp) { - V v; - P t; + PFINS tins; + PF pf; + PFAD ad,tad; + int i; + Real r; + double d; + V v; + P x; - if ( ins->pf->simplify ) - (*ins->pf->simplify)(ins,rp); - else { - instov(ins,&v); MKV(v,t); *rp = (Obj)t; - } + pf = ins->pf; ad = ins->ad; + tins = (PFINS)CALLOC(1,sizeof(PF)+pf->argc*sizeof(struct oPFAD)); + tins->pf = pf; tad = tins->ad; + for ( i = 0; i < pf->argc; i++ ) { + tad[i].d = ad[i].d; devalr(CO,ad[i].arg,&tad[i].arg); + } + for ( i = 0; i < pf->argc; i++ ) + if ( tad[i].d || (tad[i].arg && !NUM(tad[i].arg)) ) break; + if ( (i != pf->argc) || !pf->libm ) { + instoobj(tins,rp); + } else { + for ( i = 0; i < pf->argc; i++ ) + if ( tad[i].arg && NID((Num)tad[i].arg) == N_C ) + error("devalins : not supported"); + switch ( pf->argc ) { + case 0: + d = (*pf->libm)(); break; + case 1: + d = (*pf->libm)(ToReal(tad[0].arg)); break; + case 2: + d = (*pf->libm)(ToReal(tad[0].arg),ToReal(tad[1].arg)); break; + case 3: + d = (*pf->libm)(ToReal(tad[0].arg),ToReal(tad[1].arg), + ToReal(tad[2].arg)); break; + case 4: + d = (*pf->libm)(ToReal(tad[0].arg),ToReal(tad[1].arg), + ToReal(tad[2].arg),ToReal(tad[3].arg)); break; + default: + error("devalins : not supported"); + } + MKReal(d,r); *rp = (Obj)r; + } } -void instov(ins,vp) -PFINS ins; -V *vp; +extern int evalef,bigfloat; + +void simplify_elemfunc_ins(PFINS ins,Obj *rp) { - V v; + if ( evalef ) { + if ( bigfloat ) evalins(ins,0,rp); + else devalins(ins,rp); + } else instoobj(ins,rp); +} - NEWV(v); NAME(v) = 0; - v->attr = (pointer)V_PF; v->priv = (pointer)ins; - appendpfins(v,vp); +void simplify_factorial_ins(PFINS ins,Obj *rp) +{ + PFAD ad; + Obj a; + Q q; + + ad = ins->ad; + a = ad[0].arg; + if ( !ad[0].d && INT(a) && ( !a || (PL(NM((Q)a)) == 1 && SGN((Q)a) > 0) ) ) { + factorial(QTOS((Q)a),&q); + *rp = (Obj)q; + } else simplify_elemfunc_ins(ins,rp); } -void substfr(vl,a,u,f,c) -VL vl; -Obj a; -PF u,f; -Obj *c; +void simplify_abs_ins(PFINS ins,Obj *rp) { - Obj nm,dn; + PFAD ad; + Obj a; + Q q; + double t; + Real r; + struct oNODE arg0; - if ( !a ) - *c = 0; - else { - switch ( OID(a) ) { - case O_N: - *c = a; break; - case O_P: - substfp(vl,a,u,f,c); break; - case O_R: - substfp(vl,(Obj)NM((R)a),u,f,&nm); substfp(vl,(Obj)DN((R)a),u,f,&dn); - divr(vl,nm,dn,c); - break; - default: - error("substfr : not implemented"); break; - } - } + ad = ins->ad; + a = ad[0].arg; + if ( !ad[0].d && NUM(a) && (!a || RATN(a)) ) { + if ( !a || SGN((Q)a) > 0 ) *rp = (Obj)a; + else { + chsgnq((Q)a,&q); *rp = (Obj)q; + } + } else if ( !ad[0].d && REAL(a) ) { + t = fabs(((Real)a)->body); + MKReal(t,r); *rp = (Obj)r; + } else if ( !ad[0].d && BIGFLOAT(a) ) { + arg0.body = (pointer)a; arg0.next = 0; + mp_abs(&arg0,rp); +#if defined(INTERVAL) + } else if ( !ad[0].d && ITVD(a) ) { + absintvald((IntervalDouble)a,(IntervalDouble*)rp); + } else if ( !ad[0].d && ITVF(a) ) { + absintvalp((Itv)a,(Itv*)rp); +#endif + } else simplify_elemfunc_ins(ins,rp); } -void substfp(vl,p,u,f,pr) -VL vl; -Obj p; -PF u,f; -Obj *pr; +void simplify_ins(PFINS ins,Obj *rp) { - V v; - DCP dc; - Obj a,c,m,s,t,p0; - Q d; - P x; + V v; + P t; - if ( !p ) - *pr = 0; - else if ( NUM(p) ) - *pr = (Obj)p; - else { - v = VR((P)p); dc = DC((P)p); - if ( (int)v->attr != V_PF ) { - MKV(VR((P)p),x); - for ( c = 0; dc; dc = NEXT(dc) ) { - substfp(vl,(Obj)COEF(dc),u,f,&t); - if ( DEG(dc) ) { - pwrp(vl,x,DEG(dc),(P *)&s); mulr(vl,s,t,&m); - addr(vl,m,c,&a); c = a; - } else { - addr(vl,t,c,&a); c = a; - } - } - } else { - substfv(vl,v,u,f,&p0); - substfp(vl,(Obj)COEF(dc),u,f,&c); - for ( d = DEG(dc), dc = NEXT(dc); dc; d = DEG(dc), dc = NEXT(dc) ) { - subq(d,DEG(dc),(Q *)&t); pwrr(vl,p0,t,&s); mulr(vl,s,c,&m); - substfp(vl,(Obj)COEF(dc),u,f,&t); addr(vl,m,t,&c); - } - if ( d ) { - pwrr(vl,p0,(Obj)d,&t); mulr(vl,t,c,&m); - c = m; - } - } - *pr = c; - } + if ( ins->pf->simplify ) + (*ins->pf->simplify)(ins,rp); + else { + instoobj(ins,rp); + } } -void substfv(vl,v,u,f,c) -VL vl; -V v; -PF u,f; -Obj *c; +void instoobj(PFINS ins,Obj *rp) { - P t; - Obj r,s,w; - int i,j; - PFINS ins,tins; - PFAD ad,tad; + V v,newv; + P t; - ins = (PFINS)v->priv; ad = ins->ad; - if ( ins->pf == u ) { - if ( u->argc != f->argc ) - error("substfv : argument mismatch"); - if ( !f->body ) { - mkpfins(f,f->args,&v); MKV(v,t); r = (Obj)t; - } else - r = f->body; - for ( i = 0; i < f->argc; i++ ) - for ( j = 0; j < ad[i].d; j++ ) { - derivr(vl,r,f->args[i],&s); r = s; - } - for ( i = 0; i < f->argc; i++ ) { - substfr(vl,ad[i].arg,u,f,&w); - substr(vl,0,r,f->args[i],w,&s); r = s; - } - *c = r; - } else { - tins = (PFINS)MALLOC(sizeof(PF)+f->argc*sizeof(struct oPFAD)); - tins->pf = ins->pf; tad = tins->ad; - for ( i = 0; i < f->argc; i++ ) { - tad[i].d = ad[i].d; substfr(vl,ad[i].arg,u,f,&tad[i].arg); - } - instov(tins,&v); MKV(v,t); *c = (Obj)t; - } + NEWV(v); NAME(v) = 0; + v->attr = (pointer)V_PF; v->priv = (pointer)ins; + appendpfins(v,&newv); + MKV(newv,t); + *rp = (Obj)t; +} + +void substfr(VL vl,Obj a,PF u,PF f,Obj *c) +{ + Obj nm,dn; + + if ( !a ) + *c = 0; + else { + switch ( OID(a) ) { + case O_N: + *c = a; break; + case O_P: + substfp(vl,a,u,f,c); break; + case O_R: + substfp(vl,(Obj)NM((R)a),u,f,&nm); substfp(vl,(Obj)DN((R)a),u,f,&dn); + divr(vl,nm,dn,c); + break; + default: + error("substfr : not implemented"); break; + } + } +} + +void substfp(VL vl,Obj p,PF u,PF f,Obj *pr) +{ + V v; + DCP dc; + Obj a,c,m,s,t,p0; + Q d; + P x; + + if ( !p ) + *pr = 0; + else if ( NUM(p) ) + *pr = (Obj)p; + else { + v = VR((P)p); dc = DC((P)p); + if ( (int)v->attr != V_PF ) { + MKV(VR((P)p),x); + for ( c = 0; dc; dc = NEXT(dc) ) { + substfp(vl,(Obj)COEF(dc),u,f,&t); + if ( DEG(dc) ) { + gen_pwrr(vl,(Obj)x,(Obj)DEG(dc),&s); + mulr(vl,s,t,&m); + addr(vl,m,c,&a); c = a; + } else { + addr(vl,t,c,&a); c = a; + } + } + } else { + substfv(vl,v,u,f,&p0); + substfp(vl,(Obj)COEF(dc),u,f,&c); + for ( d = DEG(dc), dc = NEXT(dc); dc; d = DEG(dc), dc = NEXT(dc) ) { + subq(d,DEG(dc),(Q *)&t); + gen_pwrr(vl,p0,t,&s); mulr(vl,s,c,&m); + substfp(vl,(Obj)COEF(dc),u,f,&t); addr(vl,m,t,&c); + } + if ( d ) { + gen_pwrr(vl,p0,(Obj)d,&t); mulr(vl,t,c,&m); + c = m; + } + } + *pr = c; + } +} + +void substfv(VL vl,V v,PF u,PF f,Obj *c) +{ + P t; + Obj r,s,w; + int i,j; + PFINS ins,tins; + PFAD ad,tad; + + ins = (PFINS)v->priv; ad = ins->ad; + if ( ins->pf == u ) { + if ( u->argc != f->argc ) + error("substfv : argument mismatch"); + if ( !f->body ) { + mkpfins(f,f->args,&v); MKV(v,t); r = (Obj)t; + } else + r = f->body; + for ( i = 0; i < f->argc; i++ ) + for ( j = 0; j < ad[i].d; j++ ) { + derivr(vl,r,f->args[i],&s); r = s; + } + for ( i = 0; i < f->argc; i++ ) { + substfr(vl,ad[i].arg,u,f,&w); + substr(vl,0,r,f->args[i],w,&s); r = s; + } + *c = r; + } else { + tins = (PFINS)MALLOC(sizeof(PF)+f->argc*sizeof(struct oPFAD)); + tins->pf = ins->pf; tad = tins->ad; + for ( i = 0; i < f->argc; i++ ) { + tad[i].d = ad[i].d; substfr(vl,ad[i].arg,u,f,&tad[i].arg); + } + instoobj(tins,c); + } }