640 lines
10 KiB
C
640 lines
10 KiB
C
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/*
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* Sources of the "FLOATING POINT ARITHMETIC" group instructions
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*/
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/* $Header$ */
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#include <em_abs.h>
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#include "nofloat.h"
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#include "global.h"
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#include "log.h"
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#include "mem.h"
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#include "trap.h"
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#include "text.h"
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#include "fra.h"
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#include "warn.h"
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#ifndef NOFLOAT
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extern double fpop();
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#define MAXDOUBLE 99.e999 /* IEEE infinity */ /*???*/
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#define SMALL (1.0/MAXDOUBLE)
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PRIVATE double adf(), sbf(), mlf(), dvf();
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PRIVATE double ttttp();
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PRIVATE double floor(), fabs();
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PRIVATE fef(), fif();
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#endif NOFLOAT
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DoADFl2(arg)
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size arg;
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{
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/* ADF w: Floating add (*) */
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#ifndef NOFLOAT
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register size l = (L_arg_2() * arg);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoADFl2(%ld)", l));
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spoilFRA();
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fpush(adf(fpop(l), t), l);
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#else NOFLOAT
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arg = arg;
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nofloat();
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#endif NOFLOAT
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}
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DoADFs(hob, wfac)
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long hob;
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size wfac;
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{
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/* ADF w: Floating add (*) */
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#ifndef NOFLOAT
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register size l = (S_arg(hob) * wfac);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoADFs(%ld)", l));
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spoilFRA();
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fpush(adf(fpop(l), t), l);
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#else NOFLOAT
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hob = hob;
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wfac = wfac;
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nofloat();
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#endif NOFLOAT
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}
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DoADFz()
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{
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/* ADF w: Floating add (*) */
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#ifndef NOFLOAT
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register size l = upop(wsize);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoADFz(%ld)", l));
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spoilFRA();
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fpush(adf(fpop(l), t), l);
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#else NOFLOAT
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nofloat();
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#endif NOFLOAT
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}
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DoSBFl2(arg)
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size arg;
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{
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/* SBF w: Floating subtract (*) */
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#ifndef NOFLOAT
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register size l = (L_arg_2() * arg);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoSBFl2(%ld)", l));
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spoilFRA();
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fpush(sbf(fpop(l), t), l);
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#else NOFLOAT
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arg = arg;
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nofloat();
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#endif NOFLOAT
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}
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DoSBFs(hob, wfac)
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long hob;
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size wfac;
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{
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/* SBF w: Floating subtract (*) */
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#ifndef NOFLOAT
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register size l = (S_arg(hob) * wfac);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoSBFs(%ld)", l));
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spoilFRA();
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fpush(sbf(fpop(l), t), l);
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#else NOFLOAT
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hob = hob;
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wfac = wfac;
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nofloat();
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#endif NOFLOAT
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}
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DoSBFz()
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{
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/* SBF w: Floating subtract (*) */
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#ifndef NOFLOAT
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register size l = upop(wsize);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoSBFz(%ld)", l));
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spoilFRA();
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fpush(sbf(fpop(l), t), l);
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#else NOFLOAT
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nofloat();
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#endif NOFLOAT
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}
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DoMLFl2(arg)
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size arg;
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{
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/* MLF w: Floating multiply (*) */
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#ifndef NOFLOAT
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register size l = (L_arg_2() * arg);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoMLFl2(%ld)", l));
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spoilFRA();
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fpush(mlf(fpop(l), t), l);
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#else NOFLOAT
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arg = arg;
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nofloat();
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#endif NOFLOAT
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}
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DoMLFs(hob, wfac)
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long hob;
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size wfac;
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{
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/* MLF w: Floating multiply (*) */
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#ifndef NOFLOAT
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register size l = (S_arg(hob) * wfac);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoMLFs(%ld)", l));
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spoilFRA();
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fpush(mlf(fpop(l), t), l);
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#else NOFLOAT
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hob = hob;
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wfac = wfac;
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nofloat();
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#endif NOFLOAT
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}
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DoMLFz()
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{
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/* MLF w: Floating multiply (*) */
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#ifndef NOFLOAT
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register size l = upop(wsize);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoMLFz(%ld)", l));
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spoilFRA();
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fpush(mlf(fpop(l), t), l);
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#else NOFLOAT
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nofloat();
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#endif NOFLOAT
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}
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DoDVFl2(arg)
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size arg;
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{
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/* DVF w: Floating divide (*) */
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#ifndef NOFLOAT
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register size l = (L_arg_2() * arg);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoDVFl2(%ld)", l));
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spoilFRA();
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fpush(dvf(fpop(l), t), l);
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#else NOFLOAT
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arg = arg;
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nofloat();
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#endif NOFLOAT
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}
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DoDVFs(hob, wfac)
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long hob;
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size wfac;
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{
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/* DVF w: Floating divide (*) */
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#ifndef NOFLOAT
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register size l = (S_arg(hob) * wfac);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoDVFs(%ld)", l));
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spoilFRA();
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fpush(dvf(fpop(l), t), l);
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#else NOFLOAT
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hob = hob;
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wfac = wfac;
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nofloat();
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#endif NOFLOAT
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}
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DoDVFz()
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{
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/* DVF w: Floating divide (*) */
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#ifndef NOFLOAT
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register size l = upop(wsize);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoDVFz(%ld)", l));
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spoilFRA();
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fpush(dvf(fpop(l), t), l);
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#else NOFLOAT
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nofloat();
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#endif NOFLOAT
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}
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DoNGFl2(arg)
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size arg;
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{
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/* NGF w: Floating negate (*) */
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#ifndef NOFLOAT
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register size l = (L_arg_2() * arg);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoNGFl2(%ld)", l));
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spoilFRA();
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fpush(-t, l);
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#else NOFLOAT
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arg = arg;
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nofloat();
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#endif NOFLOAT
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}
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DoNGFz()
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{
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/* NGF w: Floating negate (*) */
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#ifndef NOFLOAT
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register size l = upop(wsize);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoNGFz(%ld)", l));
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spoilFRA();
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fpush(-t, l);
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#else NOFLOAT
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nofloat();
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#endif NOFLOAT
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}
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DoFIFl2(arg)
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size arg;
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{
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/* FIF w: Floating multiply and split integer and fraction part (*) */
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#ifndef NOFLOAT
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register size l = (L_arg_2() * arg);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoFIFl2(%ld)", l));
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spoilFRA();
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fif(fpop(l), t, l);
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#else NOFLOAT
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arg = arg;
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nofloat();
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#endif NOFLOAT
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}
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DoFIFz()
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{
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/* FIF w: Floating multiply and split integer and fraction part (*) */
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#ifndef NOFLOAT
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register size l = upop(wsize);
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double t = fpop(arg_wf(l));
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LOG(("@F6 DoFIFz(%ld)", l));
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spoilFRA();
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fif(fpop(l), t, l);
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#else NOFLOAT
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nofloat();
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#endif NOFLOAT
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}
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DoFEFl2(arg)
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size arg;
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{
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/* FEF w: Split floating number in exponent and fraction part (*) */
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#ifndef NOFLOAT
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register size l = (L_arg_2() * arg);
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LOG(("@F6 DoFEFl2(%ld)", l));
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spoilFRA();
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fef(fpop(arg_wf(l)), l);
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#else NOFLOAT
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arg = arg;
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nofloat();
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#endif NOFLOAT
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}
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DoFEFz()
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{
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/* FEF w: Split floating number in exponent and fraction part (*) */
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#ifndef NOFLOAT
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register size l = upop(wsize);
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LOG(("@F6 DoFEFz(%ld)", l));
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spoilFRA();
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fef(fpop(arg_wf(l)), l);
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#else NOFLOAT
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nofloat();
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#endif NOFLOAT
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}
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#ifndef NOFLOAT
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/* Service routines */
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PRIVATE double adf(f1, f2) /* returns f1 + f2 */
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double f1, f2;
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{
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if (must_test && !(IgnMask&BIT(EFOVFL))) {
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if (f1 > 0.0 && f2 > 0.0) {
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if (MAXDOUBLE - f1 < f2) {
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trap(EFOVFL);
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return (0.0);
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}
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}
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else if (f1 < 0.0 && f2 < 0.0) {
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if (-(MAXDOUBLE + f1) > f2) {
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trap(EFOVFL);
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return (0.0);
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}
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}
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}
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return (f1 + f2);
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}
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PRIVATE double sbf(f1, f2) /* returns f1 - f2 */
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double f1, f2;
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{
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if (must_test && !(IgnMask&BIT(EFOVFL))) {
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if (f2 < 0.0 && f1 > 0.0) {
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if (MAXDOUBLE - f1 < -f2) {
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trap(EFOVFL);
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return (0.0);
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}
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}
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else if (f2 > 0.0 && f1 < 0.0) {
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if (f2 - MAXDOUBLE > f1) {
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trap(EFOVFL);
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return (0.0);
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}
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}
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}
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return (f1 - f2);
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}
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PRIVATE double mlf(f1, f2) /* returns f1 * f2 */
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double f1, f2;
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{
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double ff1 = fabs(f1), ff2 = fabs(f2);
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if (f1 == 0.0 || f2 == 0.0)
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return (0.0);
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if ((ff1 >= 1.0 && ff2 <= 1.0) || (ff2 >= 1.0 && ff1 <= 1.0))
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return (f1 * f2);
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if (must_test && !(IgnMask&BIT(EFUNFL))) {
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if (ff1 < 1.0 && ff2 < 1.0) {
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if (SMALL / ff1 > ff2) {
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trap(EFUNFL);
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return (0.0);
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}
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return (f1 * f2);
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}
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}
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if (must_test && !(IgnMask&BIT(EFOVFL))) {
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if (MAXDOUBLE / ff1 < ff2) {
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trap(EFOVFL);
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return (0.0);
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}
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}
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return (f1 * f2);
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}
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PRIVATE double dvf(f1, f2) /* returns f1 / f2 */
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double f1, f2;
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{
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double ff1 = fabs(f1), ff2 = fabs(f2);
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|
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if (f2 == 0.0) {
|
||
|
|
if (!(IgnMask&BIT(EFDIVZ))) {
|
||
|
|
trap(EFDIVZ);
|
||
|
|
}
|
||
|
|
else return (0.0);
|
||
|
|
}
|
||
|
|
|
||
|
|
if (f1 == 0.0)
|
||
|
|
return (0.0);
|
||
|
|
|
||
|
|
if ((ff2 >= 1.0 && ff1 >= 1.0) || (ff1 <= 1.0 && ff2 <= 1.0))
|
||
|
|
return (f1 / f2);
|
||
|
|
|
||
|
|
if (must_test && !(IgnMask&BIT(EFUNFL))) {
|
||
|
|
if (ff2 > 1.0 && ff1 < 1.0) {
|
||
|
|
if (SMALL / ff2 > ff1) {
|
||
|
|
trap(EFUNFL);
|
||
|
|
return (0.0);
|
||
|
|
}
|
||
|
|
return (f1 / f2);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
if (must_test && !(IgnMask&BIT(EFOVFL))) {
|
||
|
|
if (MAXDOUBLE * ff2 < ff1) {
|
||
|
|
trap(EFOVFL);
|
||
|
|
return (0.0);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return (f1 / f2);
|
||
|
|
}
|
||
|
|
|
||
|
|
PRIVATE fif(f1, f2, n)
|
||
|
|
double f1, f2;
|
||
|
|
size n;
|
||
|
|
{
|
||
|
|
double f = mlf(f1, f2);
|
||
|
|
double fl = floor(fabs(f));
|
||
|
|
|
||
|
|
fpush(fabs(f) - fl, n); /* push fraction */
|
||
|
|
fpush((f < 0.0) ? -fl : fl, n); /* push integer-part */
|
||
|
|
}
|
||
|
|
|
||
|
|
PRIVATE fef(f, n)
|
||
|
|
double f;
|
||
|
|
size n;
|
||
|
|
{
|
||
|
|
register long exponent, sign = (long) (f < 0.0);
|
||
|
|
|
||
|
|
for (f = fabs(f), exponent = 0; f >= 1.0; exponent++)
|
||
|
|
f /= 2.0;
|
||
|
|
|
||
|
|
for (; f < 0.5; exponent--)
|
||
|
|
f *= 2.0;
|
||
|
|
|
||
|
|
fpush((sign) ? -f : f, n); /* push mantissa */
|
||
|
|
npush(exponent, wsize); /* push exponent */
|
||
|
|
}
|
||
|
|
|
||
|
|
/* floating point service routines, to avoid having to use -lm */
|
||
|
|
|
||
|
|
PRIVATE double fabs(f)
|
||
|
|
double f;
|
||
|
|
{
|
||
|
|
return (f < 0.0 ? -f : f);
|
||
|
|
}
|
||
|
|
|
||
|
|
PRIVATE double floor(f)
|
||
|
|
double f;
|
||
|
|
{
|
||
|
|
double res, d;
|
||
|
|
register int sign = 1;
|
||
|
|
|
||
|
|
/* eliminate the sign */
|
||
|
|
if (f < 0) {
|
||
|
|
sign = -1, f = -f;
|
||
|
|
}
|
||
|
|
|
||
|
|
/* get the largest power of 2 <= f */
|
||
|
|
d = 1.0;
|
||
|
|
while (f - d >= d) {
|
||
|
|
d *= 2.0;
|
||
|
|
}
|
||
|
|
|
||
|
|
/* reconstruct f by deminishing powers of 2 */
|
||
|
|
res = 0.0;
|
||
|
|
while (d >= 1.0) {
|
||
|
|
if (res + d <= f)
|
||
|
|
res += d;
|
||
|
|
d /= 2.0;
|
||
|
|
}
|
||
|
|
|
||
|
|
/* undo the sign elimination */
|
||
|
|
if (sign == -1) {
|
||
|
|
res = -res, f = -f;
|
||
|
|
if (res > f)
|
||
|
|
res -= 1.0;
|
||
|
|
}
|
||
|
|
|
||
|
|
return res;
|
||
|
|
}
|
||
|
|
|
||
|
|
PRIVATE double ttttp(f, n) /* times ten to the power */
|
||
|
|
double f;
|
||
|
|
{
|
||
|
|
while (n > 0) {
|
||
|
|
f = mlf(f, 10.0);
|
||
|
|
n--;
|
||
|
|
}
|
||
|
|
while (n < 0) {
|
||
|
|
f = dvf(f, 10.0);
|
||
|
|
n++;
|
||
|
|
}
|
||
|
|
return f;
|
||
|
|
}
|
||
|
|
|
||
|
|
/* Str2double is used to initialize the global data area with floats;
|
||
|
|
we do not use, e.g., sscanf(), to be able to check the grammar of
|
||
|
|
the string and to give warnings.
|
||
|
|
*/
|
||
|
|
|
||
|
|
double str2double(str)
|
||
|
|
char *str;
|
||
|
|
{
|
||
|
|
register char b;
|
||
|
|
register int sign = 1; /* either +1 or -1 */
|
||
|
|
register int frac = 0; /* how far in fraction part ? */
|
||
|
|
register int ex; /* to store exponent */
|
||
|
|
double mantissa = 0.0; /* to store mantissa */
|
||
|
|
double d; /* double to be returned */
|
||
|
|
|
||
|
|
b = *str++;
|
||
|
|
if (b == '-') {
|
||
|
|
sign = -1;
|
||
|
|
b = *str++;
|
||
|
|
}
|
||
|
|
else if (b == '+') {
|
||
|
|
sign = 1;
|
||
|
|
b = *str++;
|
||
|
|
}
|
||
|
|
|
||
|
|
if ('0' <= b && b <= '9') {
|
||
|
|
mantissa = (double) (b-'0');
|
||
|
|
}
|
||
|
|
else if (b == '.') {
|
||
|
|
/* part before dot cannot be empty */
|
||
|
|
warning(WBADFLOAT);
|
||
|
|
frac = 1;
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
goto BadFloat;
|
||
|
|
}
|
||
|
|
|
||
|
|
LOG((" q9 str2double : (before while) mantissa = %20.20g", mantissa));
|
||
|
|
|
||
|
|
while ((b = *str++) != 'e' && b != 'E' && b != '\0') {
|
||
|
|
if (b == '.') {
|
||
|
|
if (frac == 0) {
|
||
|
|
frac++;
|
||
|
|
}
|
||
|
|
else { /* there already was a '.' in input */
|
||
|
|
goto BadFloat;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if ('0' <= b && b <= '9') {
|
||
|
|
double bval = b - '0';
|
||
|
|
|
||
|
|
if (frac) {
|
||
|
|
mantissa =
|
||
|
|
adf(mantissa, ttttp(bval, -frac));
|
||
|
|
frac++;
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
mantissa =
|
||
|
|
adf(mlf(mantissa, 10.0), bval);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
goto BadFloat;
|
||
|
|
}
|
||
|
|
LOG((" q9 str2double : (inside while) mantissa = %20.20g",
|
||
|
|
mantissa));
|
||
|
|
}
|
||
|
|
LOG((" q9 str2double : mantissa = %10.10g", mantissa));
|
||
|
|
mantissa = sign * mantissa;
|
||
|
|
if (b == '\0')
|
||
|
|
return (mantissa);
|
||
|
|
/* else we have b == 'e' or b== 'E' */
|
||
|
|
|
||
|
|
/* Optional sign for exponent */
|
||
|
|
b = *str++;
|
||
|
|
if (b == '-') {
|
||
|
|
sign = -1;
|
||
|
|
b = *str++;
|
||
|
|
}
|
||
|
|
else if (b == '+') {
|
||
|
|
sign = 1;
|
||
|
|
b = *str++;
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
sign = 1;
|
||
|
|
}
|
||
|
|
|
||
|
|
ex = 0;
|
||
|
|
do {
|
||
|
|
if ('0' <= b && b <= '9') {
|
||
|
|
ex = 10*ex + (b-'0');
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
goto BadFloat;
|
||
|
|
}
|
||
|
|
} while ((b = *str++) != '\0');
|
||
|
|
LOG((" q9 str2double : exponent = %d", ex));
|
||
|
|
|
||
|
|
/* Construct total value of float */
|
||
|
|
ex = sign * ex;
|
||
|
|
d = ttttp(mantissa, ex);
|
||
|
|
return (d);
|
||
|
|
|
||
|
|
BadFloat:
|
||
|
|
fatal("Float garbled in loadfile");
|
||
|
|
return (0.0);
|
||
|
|
}
|
||
|
|
|
||
|
|
#else NOFLOAT
|
||
|
|
|
||
|
|
nofloat() {
|
||
|
|
fatal("attempt to execute a floating point instruction on an EM machine without FP");
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif NOFLOAT
|
||
|
|
|