=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/parse/puref.c,v retrieving revision 1.6 retrieving revision 1.14 diff -u -p -r1.6 -r1.14 --- OpenXM_contrib2/asir2000/parse/puref.c 2004/03/11 09:52:56 1.6 +++ OpenXM_contrib2/asir2000/parse/puref.c 2018/03/28 05:27:22 1.14 @@ -45,11 +45,13 @@ * 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 1.5 2003/05/20 06:15:01 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/parse/puref.c,v 1.13 2018/03/27 06:29:19 noro Exp $ */ #include "ca.h" #include "parse.h" +void instoobj(PFINS ins,Obj *rp); + NODE pflist; void searchpf(char *name,FUNC *fp) @@ -284,6 +286,59 @@ void derivr(VL vl,Obj a,V v,Obj *b) } } +void simple_derivr(VL vl,Obj a,V v,Obj *b) +{ + Obj r,s,t,u,nm,dn; + + 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"); + } +} + +int obj_is_dependent(Obj a,V v) +{ + 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"); +} + +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 gen_pwrr(VL vl,Obj a,Obj d,Obj *r) +{ + if ( INT(d) ) + pwrr(vl,a,d,r); + else + mkpow(vl,a,d,r); +} + void substr(VL vl,int partial,Obj a,V v,Obj b,Obj *c) { Obj nm,dn,t; @@ -338,7 +393,8 @@ void substpr(VL vl,int partial,Obj p,V v0,Obj p0,Obj * 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); + 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; @@ -352,7 +408,8 @@ void substpr(VL vl,int partial,Obj p,V v0,Obj p0,Obj * 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); + 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 @@ -360,7 +417,8 @@ void substpr(VL vl,int partial,Obj p,V v0,Obj p0,Obj * addr(vl,m,t,&c); } if ( d ) { - pwrr(vl,p0,(Obj)d,&t); mulr(vl,t,c,&m); + gen_pwrr(vl,p0,(Obj)d,&t); + mulr(vl,t,c,&m); c = m; } *pr = c; @@ -441,7 +499,8 @@ void evalv(VL vl,V v,int prec,Obj *rp) void evalins(PFINS ins,int prec,Obj *rp) { PF pf; - PFAD ad; + PFINS tins; + PFAD ad,tad; int i; Q q; V v; @@ -449,14 +508,18 @@ void evalins(PFINS ins,int prec,Obj *rp) NODE n0,n; 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 ( ad[i].d || (ad[i].arg && !NUM(ad[i].arg)) ) - break; + if ( tad[i].d || (tad[i].arg && !NUM(tad[i].arg)) ) break; if ( (i != pf->argc) || !pf->pari ) { - instov(ins,&v); MKV(v,x); *rp = (Obj)x; + instoobj(tins,rp); } else { for ( n0 = 0, i = 0; i < pf->argc; i++ ) { - NEXTNODE(n0,n); BDY(n) = (pointer)ad[i].arg; + NEXTNODE(n0,n); BDY(n) = (pointer)tad[i].arg; } if ( prec ) { NEXTNODE(n0,n); STOQ(prec,q); BDY(n) = (pointer)q; @@ -471,16 +534,27 @@ void devalr(VL vl,Obj a,Obj *c) { Obj nm,dn; double d; - Real r; + Real r,re,im; + C z; + int nid; if ( !a ) *c = 0; else { switch ( OID(a) ) { case O_N: - d = ToReal(a); - MKReal(d,r); - *c = (Obj)r; + 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; @@ -561,8 +635,9 @@ void devalv(VL vl,V v,Obj *rp) void devalins(PFINS ins,Obj *rp) { + PFINS tins; PF pf; - PFAD ad; + PFAD ad,tad; int i; Real r; double d; @@ -570,32 +645,88 @@ void devalins(PFINS ins,Obj *rp) P x; 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 ( ad[i].d || (ad[i].arg && !NUM(ad[i].arg)) ) - break; + if ( tad[i].d || (tad[i].arg && !NUM(tad[i].arg)) ) break; if ( (i != pf->argc) || !pf->libm ) { - instov(ins,&v); MKV(v,x); *rp = (Obj)x; + 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(ad[0].arg)); break; + d = (*pf->libm)(ToReal(tad[0].arg)); break; case 2: - d = (*pf->libm)(ToReal(ad[0].arg),ToReal(ad[1].arg)); break; + d = (*pf->libm)(ToReal(tad[0].arg),ToReal(tad[1].arg)); break; case 3: - d = (*pf->libm)(ToReal(ad[0].arg),ToReal(ad[1].arg), - ToReal(ad[2].arg)); break; + d = (*pf->libm)(ToReal(tad[0].arg),ToReal(tad[1].arg), + ToReal(tad[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; + d = (*pf->libm)(ToReal(tad[0].arg),ToReal(tad[1].arg), + ToReal(tad[2].arg),ToReal(tad[3].arg)); break; default: - error("devalv : not supported"); + error("devalins : not supported"); } MKReal(d,r); *rp = (Obj)r; } } +extern int evalef,bigfloat; + +void simplify_elemfunc_ins(PFINS ins,Obj *rp) +{ + if ( evalef ) { + if ( bigfloat ) evalins(ins,0,rp); + else devalins(ins,rp); + } else instoobj(ins,rp); +} + +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 simplify_abs_ins(PFINS ins,Obj *rp) +{ + PFAD ad; + Obj a; + Q q; + double t; + Real r; + struct oNODE arg0; + + 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); + } else simplify_elemfunc_ins(ins,rp); +} + void simplify_ins(PFINS ins,Obj *rp) { V v; @@ -604,17 +735,20 @@ void simplify_ins(PFINS ins,Obj *rp) if ( ins->pf->simplify ) (*ins->pf->simplify)(ins,rp); else { - instov(ins,&v); MKV(v,t); *rp = (Obj)t; + instoobj(ins,rp); } } -void instov(PFINS ins,V *vp) +void instoobj(PFINS ins,Obj *rp) { - V v; + V v,newv; + P t; NEWV(v); NAME(v) = 0; v->attr = (pointer)V_PF; v->priv = (pointer)ins; - appendpfins(v,vp); + appendpfins(v,&newv); + MKV(newv,t); + *rp = (Obj)t; } void substfr(VL vl,Obj a,PF u,PF f,Obj *c) @@ -658,7 +792,8 @@ void substfp(VL vl,Obj p,PF u,PF f,Obj *pr) 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); + 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; @@ -668,11 +803,12 @@ void substfp(VL vl,Obj p,PF u,PF f,Obj *pr) 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); + 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 ) { - pwrr(vl,p0,(Obj)d,&t); mulr(vl,t,c,&m); + gen_pwrr(vl,p0,(Obj)d,&t); mulr(vl,t,c,&m); c = m; } } @@ -711,6 +847,6 @@ void substfv(VL vl,V v,PF u,PF f,Obj *c) 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; + instoobj(tins,c); } }