File: [local] / OpenXM_contrib2 / asir2000 / engine / bf.c (download)
Revision 1.7, Tue Aug 4 06:20:45 2015 UTC (8 years, 9 months ago) by noro
Branch: MAIN
Changes since 1.6: +206 -185
lines
PARI is now being replaced by MPFR (GNU multiprecision floating-point reliable library).
1. eval() now calls functions in libmpfr.a.
2. PARI will be wrapped as an ox server 'ox_pari' (not yet).
Warning: Asir will not be built with interval arithmetics for a while.
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/*
* $OpenXM: OpenXM_contrib2/asir2000/engine/bf.c,v 1.7 2015/08/04 06:20:45 noro Exp $
*/
#include "ca.h"
#include "base.h"
#include <math.h>
Num tobf(Num,int);
#define BFPREC(a) (((BF)(a))->body->_mpfr_prec)
void strtobf(char *s,BF *p)
{
BF r;
NEWBF(r);
mpfr_init(r->body);
mpfr_set_str(r->body,s,10,MPFR_RNDN);
*p = r;
}
double mpfrtodbl(mpfr_t a)
{
return mpfr_get_d(a,MPFR_RNDN);
}
Num tobf(Num a,int prec)
{
mpfr_t r;
mpz_t z;
mpq_t q;
BF d;
N nm,dn;
int sgn;
if ( !a ) {
prec ? mpfr_init2(r,prec) : mpfr_init(r);
mpfr_set_zero(r,1);
MPFRTOBF(r,d);
return (Num)d;
} else {
switch ( NID(a) ) {
case N_B:
return a;
break;
case N_R:
prec ? mpfr_init2(r,prec) : mpfr_init(r);
mpfr_init_set_d(r,((Real)a)->body,MPFR_RNDN);
MPFRTOBF(r,d);
return (Num)d;
break;
case N_Q:
nm = NM((Q)a); dn = DN((Q)a); sgn = SGN((Q)a);
if ( INT((Q)a) ) {
mpz_init(z);
mpz_import(z,PL(nm),-1,sizeof(BD(nm)[0]),0,0,BD(nm));
if ( sgn < 0 ) mpz_neg(z,z);
mpfr_init_set_z(r,z,MPFR_RNDN);
} else {
mpq_init(q);
mpz_import(mpq_numref(q),PL(nm),-1,sizeof(BD(nm)[0]),0,0,BD(nm));
mpz_import(mpq_denref(q),PL(dn),-1,sizeof(BD(dn)[0]),0,0,BD(dn));
if ( sgn < 0 ) mpq_neg(q,q);
mpfr_init_set_q(r,q,MPFR_RNDN);
}
MPFRTOBF(r,d);
return (Num)d;
break;
default:
error("tobf : invalid argument");
break;
}
}
}
void addbf(Num a,Num b,Num *c)
{
mpfr_t r;
BF d;
if ( !a )
*c = b;
else if ( !b )
*c = a;
else if ( (NID(a) <= N_A) && (NID(b) <= N_A ) )
(*addnumt[MIN(NID(a),NID(b))])(a,b,c);
else {
if ( NID(a) != N_B ) a = tobf(a,0);
if ( NID(b) != N_B ) b = tobf(b,0);
mpfr_init2(r,MAX(BFPREC(a),BFPREC(b)));
mpfr_add(r,((BF)a)->body,((BF)b)->body,MPFR_RNDN);
MPFRTOBF(r,d);
*c = (Num)d;
}
}
void subbf(Num a,Num b,Num *c)
{
mpfr_t r;
BF d;
if ( !a )
(*chsgnnumt[NID(b)])(b,c);
else if ( !b )
*c = a;
else if ( (NID(a) <= N_A) && (NID(b) <= N_A ) )
(*subnumt[MIN(NID(a),NID(b))])(a,b,c);
else {
if ( NID(a) != N_B ) a = tobf(a,0);
if ( NID(b) != N_B ) b = tobf(b,0);
mpfr_init2(r,MAX(BFPREC(a),BFPREC(b)));
mpfr_sub(r,((BF)a)->body,((BF)b)->body,MPFR_RNDN);
MPFRTOBF(r,d);
*c = (Num)d;
}
}
void mulbf(Num a,Num b,Num *c)
{
mpfr_t r;
BF d;
int prec;
if ( !a || !b )
*c = 0;
else if ( (NID(a) <= N_A) && (NID(b) <= N_A ) )
(*mulnumt[MIN(NID(a),NID(b))])(a,b,c);
else {
if ( NID(a) != N_B ) a = tobf(a,0);
if ( NID(b) != N_B ) b = tobf(b,0);
mpfr_init2(r,MAX(BFPREC(a),BFPREC(b)));
mpfr_mul(r,((BF)a)->body,((BF)b)->body,MPFR_RNDN);
MPFRTOBF(r,d);
*c = (Num)d;
}
}
void divbf(Num a,Num b,Num *c)
{
mpfr_t r;
BF d;
if ( !b )
error("divbf : division by 0");
else if ( !a )
*c = 0;
else if ( (NID(a) <= N_A) && (NID(b) <= N_A ) )
(*divnumt[MIN(NID(a),NID(b))])(a,b,c);
else {
if ( NID(a) != N_B ) a = tobf(a,0);
if ( NID(b) != N_B ) b = tobf(b,0);
mpfr_init2(r,MAX(BFPREC(a),BFPREC(b)));
mpfr_div(r,((BF)a)->body,((BF)b)->body,MPFR_RNDN);
MPFRTOBF(r,d);
*c = (Num)d;
}
}
void pwrbf(Num a,Num b,Num *c)
{
mpfr_t r;
BF d;
if ( !b )
*c = (Num)ONE;
else if ( !a )
*c = 0;
else if ( (NID(a) <= N_A) && (NID(b) <= N_A ) )
(*pwrnumt[MIN(NID(a),NID(b))])(a,b,c);
else {
if ( NID(a) != N_B ) a = tobf(a,0);
if ( NID(b) != N_B ) b = tobf(b,0);
mpfr_init2(r,MAX(BFPREC(a),BFPREC(b)));
mpfr_pow(r,((BF)a)->body,((BF)b)->body,MPFR_RNDN);
MPFRTOBF(r,d);
*c = (Num)d;
}
}
void chsgnbf(Num a,Num *c)
{
mpfr_t r;
BF d;
if ( !a )
*c = 0;
else if ( NID(a) <= N_A )
(*chsgnnumt[NID(a)])(a,c);
else {
mpfr_init2(r,BFPREC(a));
mpfr_neg(r,((BF)a)->body,MPFR_RNDN);
MPFRTOBF(r,d);
*c = (Num)d;
}
}
int cmpbf(Num a,Num b)
{
if ( !a ) {
if ( !b || (NID(b)<=N_A) )
return (*cmpnumt[NID(b)])(a,b);
else
return -mpfr_sgn(((BF)a)->body);
} else if ( !b ) {
if ( !a || (NID(a)<=N_A) )
return (*cmpnumt[NID(a)])(a,b);
else
return mpfr_sgn(((BF)a)->body);
} else {
if ( NID(a) != N_B ) a = tobf(a,0);
if ( NID(b) != N_B ) b = tobf(b,0);
return mpfr_cmp(((BF)a)->body,((BF)b)->body);
}
}