/* $OpenXM: OpenXM_contrib2/asir2000/engine/real.c,v 1.1.1.1 1999/12/03 07:39:08 noro Exp $ */ #include "ca.h" #include "base.h" #include #if defined(THINK_C) double RatnToReal(a) Q a; { double nm,dn,t; int enm,edn; char buf[BUFSIZ]; nm = NatToReal(NM(a),&enm); if ( INT(a) ) if ( enm >= 1 ) error("RatnToReal : Overflow"); else return SGN(a)>0 ? nm : -nm; else { dn = NatToReal(DN(a),&edn); sprintf(buf,"1.0E%d",enm-edn); sscanf(buf,"%lf",&t); if ( SGN(a) < 0 ) t = -t; return nm/dn*t; } } double NatToReal(a,expo) N a; int *expo; { int *p; int l,all,i,j,s,tb,top,tail; unsigned int t,m[2]; p = BD(a); l = PL(a) - 1; for ( top = 0, t = p[l]; t; t >>= 1, top++ ); all = top + BSH*l; tail = (53-top)%BSH; i = l-(53-top)/BSH-1; m[1] = i < 0 ? 0 : p[i]>>(BSH-tail); for ( j = 1, i++, tb = tail; i <= l; i++ ) { s = 32-tb; t = i < 0 ? 0 : p[i]; if ( BSH > s ) { m[j] |= ((t&((1<>s; tb = BSH-s; } } else { m[j] |= (t<= 1 ) error("RatnToReal : Overflow"); else return SGN(a)>0 ? nm : -nm; else { dn = NatToReal(DN(a),&edn); man = nm/dn; if ( SGN(a) < 0 ) man = -man; if ( ((e = enm - edn) >= 1024) || (e <= -1023) ) error("RatnToReal : Overflow"); /* XXX */ else if ( !e ) return man; else return man*pow(2,e); } } double NatToReal(a,expo) N a; int *expo; { unsigned int *p; int l,all,i,j,s,tb,top,tail; unsigned int t,m[2]; p = BD(a); l = PL(a) - 1; for ( top = 0, t = p[l]; t; t >>= 1, top++ ); all = top + BSH*l; tail = (53-top)%BSH; i = l-(53-top)/BSH-1; m[1] = i < 0 ? 0 : p[i]>>(BSH-tail); for ( j = 1, i++, tb = tail; i <= l; i++ ) { s = 32-tb; t = i < 0 ? 0 : p[i]; if ( BSH > s ) { m[j] |= ((t&((1<>s; tb = BSH-s; } } else { m[j] |= (t< 1) ) { t = (double)pow((double)ToReal(a),(double)ToReal(b)); if ( !t ) error("pwrreal : Underflow"); /* XXX */ else MKReal(t,*c); } else { t = pwrreal0(BDY((Real)a),BD(NM((Q)b))[0]); t = SGN((Q)b)>0?t:1/t; if ( !t ) error("pwrreal : Underflow"); /* XXX */ else MKReal(t,*c); } } double pwrreal0(n,e) double n; int e; { double t; if ( e == 1 ) return n; else { t = pwrreal0(n,e / 2); return e%2 ? t*t*n : t*t; } } int cmpreal(a,b) Real a,b; { double t; t = ToReal(a)-ToReal(b); return t>0.0 ? 1 : t<0.0?-1 : 0; }