=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/bfaux.c,v retrieving revision 1.9 retrieving revision 1.10 diff -u -p -r1.9 -r1.10 --- OpenXM_contrib2/asir2000/builtin/bfaux.c 2015/08/17 05:18:36 1.9 +++ OpenXM_contrib2/asir2000/builtin/bfaux.c 2015/08/20 08:42:07 1.10 @@ -1,4 +1,4 @@ -/* $OpenXM: OpenXM_contrib2/asir2000/builtin/bfaux.c,v 1.8 2015/08/16 03:12:09 noro Exp $ */ +/* $OpenXM: OpenXM_contrib2/asir2000/builtin/bfaux.c,v 1.9 2015/08/17 05:18:36 noro Exp $ */ #include "ca.h" #include "parse.h" @@ -168,19 +168,20 @@ Num tobf(Num a,int prec); void mp_pi(NODE arg,BF *rp) { - int prec; + int prec; BF r; prec = arg ? QTOS((Q)ARG0(arg)) : 0; NEWBF(r); prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); mpfr_const_pi(r->body,mpfr_roundmode); - *rp = r; + if ( !cmpbf((Num)r,0) ) r = 0; + *rp = r; } void mp_e(NODE arg,BF *rp) { - int prec; + int prec; mpfr_t one; BF r; @@ -190,214 +191,158 @@ void mp_e(NODE arg,BF *rp) mpfr_init(one); mpfr_set_ui(one,1,mpfr_roundmode); mpfr_exp(r->body,one,mpfr_roundmode); - *rp = r; + if ( !cmpbf((Num)r,0) ) r = 0; + *rp = r; } -void mp_sin(NODE arg,BF *rp) +void mpfr_or_mpc(NODE arg,int (*mpfr_f)(),int (*mpc_f)(),Num *rp) { Num a; - int prec; - BF r; + int prec; + BF r,re,im; + C c; + mpc_t mpc,a1; - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; + prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : mpfr_get_default_prec(); a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_sin(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; + if ( a && NID(a)==N_C ) { + mpc_init2(mpc,prec); mpc_init2(a1,prec); + re = (BF)((C)a)->r; im = (BF)((C)a)->i; + mpc_set_fr_fr(a1,re->body,im->body,mpfr_roundmode); + (*mpc_f)(mpc,a1,mpfr_roundmode); + MPFRTOBF(mpc_realref(mpc),re); + MPFRTOBF(mpc_imagref(mpc),im); + if ( !cmpbf((Num)re,0) ) re = 0; + if ( !cmpbf((Num)im,0) ) im = 0; + if ( !im ) + *rp = (Num)re; + else { + NEWC(c); c->r = (Num)re; c->i = (Num)im; + *rp = (Num)c; + } + } else { + NEWBF(r); + mpfr_init2(r->body,prec); + (*mpfr_f)(r->body,((BF)a)->body,mpfr_roundmode); + if ( !cmpbf((Num)r,0) ) r = 0; + *rp = (Num)r; + } } -void mp_cos(NODE arg,BF *rp) +void mp_sin(NODE arg,Num *rp) { - Num a; - int prec; - BF r; - - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_cos(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; + mpfr_or_mpc(arg,mpfr_sin,mpc_sin,rp); } -void mp_tan(NODE arg,BF *rp) +void mp_cos(NODE arg,Num *rp) { - Num a; - int prec; - BF r; - - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_tan(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; + mpfr_or_mpc(arg,mpfr_cos,mpc_cos,rp); } -void mp_asin(NODE arg,BF *rp) +void mp_tan(NODE arg,Num *rp) { - Num a; - int prec; - BF r; - - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_asin(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; + mpfr_or_mpc(arg,mpfr_tan,mpc_tan,rp); } -void mp_acos(NODE arg,BF *rp) -{ - Num a; - int prec; - BF r; - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_acos(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; -} -void mp_atan(NODE arg,BF *rp) +void mp_asin(NODE arg,Num *rp) { - Num a; - int prec; - BF r; - - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_atan(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; + mpfr_or_mpc(arg,mpfr_asin,mpc_asin,rp); } -void mp_sinh(NODE arg,BF *rp) +void mp_acos(NODE arg,Num *rp) { - Num a; - int prec; - BF r; - - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_sinh(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; + mpfr_or_mpc(arg,mpfr_acos,mpc_acos,rp); } -void mp_cosh(NODE arg,BF *rp) +void mp_atan(NODE arg,Num *rp) { - Num a; - int prec; - BF r; - - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_cosh(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; + mpfr_or_mpc(arg,mpfr_atan,mpc_atan,rp); } -void mp_tanh(NODE arg,BF *rp) +void mp_sinh(NODE arg,Num *rp) { - Num a; - int prec; - BF r; - - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_tanh(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; + mpfr_or_mpc(arg,mpfr_sinh,mpc_sinh,rp); } -void mp_asinh(NODE arg,BF *rp) +void mp_cosh(NODE arg,Num *rp) { - Num a; - int prec; - BF r; - - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_asinh(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; + mpfr_or_mpc(arg,mpfr_cosh,mpc_cosh,rp); } -void mp_acosh(NODE arg,BF *rp) -{ - Num a; - int prec; - BF r; - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_acosh(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; -} -void mp_atanh(NODE arg,BF *rp) +void mp_tanh(NODE arg,Num *rp) { - Num a; - int prec; - BF r; + mpfr_or_mpc(arg,mpfr_tanh,mpc_tanh,rp); +} - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_atanh(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; +void mp_asinh(NODE arg,Num *rp) +{ + mpfr_or_mpc(arg,mpfr_asinh,mpc_asinh,rp); } -void mp_exp(NODE arg,BF *rp) +void mp_acosh(NODE arg,Num *rp) { - Num a; - int prec; - BF r; + mpfr_or_mpc(arg,mpfr_acosh,mpc_acosh,rp); +} - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_exp(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; +void mp_atanh(NODE arg,Num *rp) +{ + mpfr_or_mpc(arg,mpfr_atanh,mpc_atanh,rp); } -void mp_log(NODE arg,BF *rp) +void mp_exp(NODE arg,Num *rp) { - Num a; - int prec; - BF r; + mpfr_or_mpc(arg,mpfr_exp,mpc_exp,rp); +} - prec = NEXT(arg) ? QTOS((Q)ARG1(arg)) : 0; - a = tobf(ARG0(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_log(r->body,((BF)a)->body,mpfr_roundmode); - *rp = r; +void mp_log(NODE arg,Num *rp) +{ + mpfr_or_mpc(arg,mpfr_log,mpc_log,rp); } -void mp_pow(NODE arg,BF *rp) +void mp_pow(NODE arg,Num *rp) { Num a,e; - int prec; - BF r; + int prec; + BF r,re,im; + C c; + mpc_t mpc,a1,e1; - prec = NEXT(NEXT(arg)) ? QTOS((Q)ARG2(arg)) : 0; + prec = NEXT(NEXT(arg)) ? QTOS((Q)ARG2(arg)) : mpfr_get_default_prec(); a = tobf(ARG0(arg),prec); e = tobf(ARG1(arg),prec); - NEWBF(r); - prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); - mpfr_pow(r->body,((BF)a)->body,((BF)e)->body,mpfr_roundmode); - *rp = r; + if ( NID(a) == N_C || NID(e) == N_C || MPFR_SIGN(((BF)a)->body) < 0 ) { + mpc_init2(mpc,prec); mpc_init2(a1,prec); mpc_init2(e1,prec); + if ( NID(a) == N_C ) { + re = (BF)((C)a)->r; im = (BF)((C)a)->i; + mpc_set_fr_fr(a1,re->body,im->body,mpfr_roundmode); + } else { + re = (BF)a; + mpc_set_fr(a1,re->body,mpfr_roundmode); + } + if ( NID(e) == N_C ) { + re = (BF)((C)e)->r; im = (BF)((C)e)->i; + mpc_set_fr_fr(e1,re->body,im->body,mpfr_roundmode); + } else { + re = (BF)e; + mpc_set_fr(e1,re->body,mpfr_roundmode); + } + mpc_pow(mpc,a1,e1,mpfr_roundmode); + MPFRTOBF(mpc_realref(mpc),re); + MPFRTOBF(mpc_imagref(mpc),im); + if ( !cmpbf((Num)re,0) ) re = 0; + if ( !cmpbf((Num)im,0) ) im = 0; + if ( !im ) + *rp = (Num)re; + else { + NEWC(c); c->r = (Num)re; c->i = (Num)im; + *rp = (Num)c; + } + } else { + NEWBF(r); + mpfr_init2(r->body,prec); + mpfr_pow(r->body,((BF)a)->body,((BF)e)->body,mpfr_roundmode); + *rp = (Num)r; + } } #define SETPREC \