/* $OpenXM: OpenXM_contrib2/asir2000/builtin/bfaux.c,v 1.7 2015/08/07 08:00:30 takayama Exp $ */ #include "ca.h" #include "parse.h" void Peval(), Psetprec(), Psetbprec(), Ptodouble(), Psetround(); void Pmpfr_gamma(), Pmpfr_floor(), Pmpfr_round(); struct ftab bf_tab[] = { {"eval",Peval,-2}, {"setprec",Psetprec,-1}, {"setbprec",Psetbprec,-1}, {"setround",Psetround,-1}, {"todouble",Ptodouble,1}, {"mpfr_gamma",Pmpfr_gamma,-2}, {"mpfr_floor",Pmpfr_floor,-1}, {"mpfr_round",Pmpfr_round,-1}, {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; } void Pmpfr_gamma(NODE arg,BF *rp) { Num a; int prec; BF r; 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); mpfr_gamma(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; 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); 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_round(NODE arg,Q *rp) { Num a; int prec; BF r; mpz_t t; GZ rz; 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); mpfr_round(r->body,((BF)a)->body); mpz_init(t); mpfr_get_z(t,r->body,mpfr_roundmode); MPZTOGZ(t,rz); *rp = gztoz(rz); }