/* $OpenXM: OpenXM_contrib2/asir2000/builtin/bfaux.c,v 1.9 2015/08/17 05:18:36 noro Exp $ */ #include "ca.h" #include "parse.h" void Peval(), Psetprec(), Psetbprec(), Ptodouble(), Psetround(); void Pmpfr_ai(); void Pmpfr_eint(), Pmpfr_erf(), Pmpfr_erfc(), Pmpfr_li2(); void Pmpfr_zeta(); void Pmpfr_j0(), Pmpfr_j1(); void Pmpfr_y0(), Pmpfr_y1(); void Pmpfr_gamma(), Pmpfr_lngamma(), Pmpfr_digamma(); void Pmpfr_floor(), Pmpfr_round(), Pmpfr_ceil(); struct ftab bf_tab[] = { {"eval",Peval,-2}, {"setprec",Psetprec,-1}, {"setbprec",Psetbprec,-1}, {"setround",Psetround,-1}, {"todouble",Ptodouble,1}, {"mpfr_ai",Pmpfr_ai,-2}, {"mpfr_zeta",Pmpfr_zeta,-2}, {"mpfr_j0",Pmpfr_j0,-2}, {"mpfr_j1",Pmpfr_j1,-2}, {"mpfr_y0",Pmpfr_y0,-2}, {"mpfr_y1",Pmpfr_y1,-2}, {"mpfr_eint",Pmpfr_eint,-2}, {"mpfr_erf",Pmpfr_erf,-2}, {"mpfr_erfc",Pmpfr_erfc,-2}, {"mpfr_li2",Pmpfr_li2,-2}, {"mpfr_gamma",Pmpfr_gamma,-2}, {"mpfr_lngamma",Pmpfr_gamma,-2}, {"mpfr_digamma",Pmpfr_gamma,-2}, {"mpfr_floor",Pmpfr_floor,-2}, {"mpfr_ceil",Pmpfr_ceil,-2}, {"mpfr_round",Pmpfr_round,-2}, {0,0,0}, }; int mpfr_roundmode = MPFR_RNDN; void Ptodouble(NODE arg,Num *rp) { double r,i; Real real,imag; Num num; asir_assert(ARG0(arg),O_N,"todouble"); num = (Num)ARG0(arg); if ( !num ) { *rp = 0; return; } switch ( NID(num) ) { case N_R: case N_Q: case N_B: r = ToReal(num); MKReal(r,real); *rp = (Num)real; break; case N_C: r = ToReal(((C)num)->r); i = ToReal(((C)num)->i); MKReal(r,real); MKReal(i,imag); reimtocplx((Num)real,(Num)imag,rp); break; default: *rp = num; break; } } void Peval(NODE arg,Obj *rp) { int prec; asir_assert(ARG0(arg),O_R,"eval"); if ( argc(arg) == 2 ) { prec = QTOS((Q)ARG1(arg))*3.32193; if ( prec < MPFR_PREC_MIN ) prec = MPFR_PREC_MIN; else if ( prec > MPFR_PREC_MAX ) prec = MPFR_PREC_MAX; } else prec = 0; evalr(CO,(Obj)ARG0(arg),prec,rp); } /* set/get decimal precision */ void Psetprec(NODE arg,Obj *rp) { int p; Q q; int prec,dprec; prec = mpfr_get_default_prec(); /* decimal precision */ dprec = prec*0.30103; STOQ(dprec,q); *rp = (Obj)q; if ( arg ) { asir_assert(ARG0(arg),O_N,"setprec"); prec = QTOS((Q)ARG0(arg))*3.32193; if ( p > 0 ) prec = p; } if ( prec < MPFR_PREC_MIN ) prec = MPFR_PREC_MIN; else if ( prec > MPFR_PREC_MAX ) prec = MPFR_PREC_MAX; mpfr_set_default_prec(prec); } /* set/get bit precision */ void Psetbprec(NODE arg,Obj *rp) { int p; Q q; int prec; prec = mpfr_get_default_prec(); STOQ(prec,q); *rp = (Obj)q; if ( arg ) { asir_assert(ARG0(arg),O_N,"setbprec"); prec = QTOS((Q)ARG0(arg)); if ( p > 0 ) prec = p; } if ( prec < MPFR_PREC_MIN ) prec = MPFR_PREC_MIN; else if ( prec > MPFR_PREC_MAX ) prec = MPFR_PREC_MAX; mpfr_set_default_prec(prec); } void Psetround(NODE arg,Q *rp) { int round; STOQ(mpfr_roundmode,*rp); if ( arg ) { asir_assert(ARG0(arg),O_N,"setround"); round = QTOS((Q)ARG0(arg)); switch ( round ) { case 0: mpfr_roundmode = MPFR_RNDN; break; case 1: mpfr_roundmode = MPFR_RNDZ; break; case 2: mpfr_roundmode = MPFR_RNDU; break; case 3: mpfr_roundmode = MPFR_RNDD; break; case 4: mpfr_roundmode = MPFR_RNDA; break; case 5: mpfr_roundmode = MPFR_RNDF; break; case 6: mpfr_roundmode = MPFR_RNDNA; break; default: error("setround : invalid rounding mode"); break; } } } Num tobf(Num a,int prec); void mp_pi(NODE arg,BF *rp) { 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; } void mp_e(NODE arg,BF *rp) { int prec; mpfr_t one; BF r; prec = arg ? QTOS((Q)ARG0(arg)) : 0; NEWBF(r); prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); mpfr_init(one); mpfr_set_ui(one,1,mpfr_roundmode); mpfr_exp(r->body,one,mpfr_roundmode); *rp = r; } void mp_sin(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_sin(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void mp_cos(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_cos(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void mp_tan(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_tan(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void mp_asin(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_asin(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } 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) { 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; } void mp_sinh(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_sinh(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void mp_cosh(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_cosh(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void mp_tanh(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_tanh(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void mp_asinh(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_asinh(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } 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) { 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_atanh(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void mp_exp(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_exp(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void mp_log(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_log(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void mp_pow(NODE arg,BF *rp) { Num a,e; int prec; BF r; prec = NEXT(NEXT(arg)) ? QTOS((Q)ARG2(arg)) : 0; 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; } #define SETPREC \ (prec)=NEXT(arg)?QTOS((Q)ARG1(arg)):0;\ (prec)*=3.32193;\ (a)=tobf(ARG0(arg),prec);\ NEWBF(r);\ prec ? mpfr_init2(r->body,prec) : mpfr_init(r->body); void Pmpfr_gamma(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_gamma(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_lngamma(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_lngamma(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_digamma(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_digamma(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_zeta(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_zeta(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_eint(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_eint(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_erf(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_erf(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_erfc(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_erfc(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_j0(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_j0(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_j1(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_j1(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_y0(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_y0(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_y1(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_y1(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_li2(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_li2(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_ai(NODE arg,BF *rp) { Num a; int prec; BF r; SETPREC mpfr_ai(r->body,((BF)a)->body,mpfr_roundmode); *rp = r; } void Pmpfr_floor(NODE arg,Q *rp) { Num a; int prec; BF r; mpz_t t; GZ rz; SETPREC mpfr_floor(r->body,((BF)a)->body); mpz_init(t); mpfr_get_z(t,r->body,mpfr_roundmode); MPZTOGZ(t,rz); *rp = gztoz(rz); } void Pmpfr_ceil(NODE arg,Q *rp) { Num a; int prec; BF r; mpz_t t; GZ rz; SETPREC mpfr_ceil(r->body,((BF)a)->body); mpz_init(t); mpfr_get_z(t,r->body,mpfr_roundmode); MPZTOGZ(t,rz); *rp = gztoz(rz); } void Pmpfr_round(NODE arg,Q *rp) { Num a; int prec; BF r; mpz_t t; GZ rz; SETPREC mpfr_round(r->body,((BF)a)->body); mpz_init(t); mpfr_get_z(t,r->body,mpfr_roundmode); MPZTOGZ(t,rz); *rp = gztoz(rz); }