#include <stdio.h>
#include <stdint.h>
#include "util.h"
int eulpf(float x)
{
union { float f; uint32_t i; } u = { x };
int e = u.i>>23 & 0xff;
if (!e)
e++;
return e - 0x7f - 23;
}
int eulp(double x)
{
union { double f; uint64_t i; } u = { x };
int e = u.i>>52 & 0x7ff;
if (!e)
e++;
return e - 0x3ff - 52;
}
int eulpl(long double x)
{
#if LDBL_MANT_DIG == 53
return eulp(x);
#elif LDBL_MANT_DIG == 64
union { long double f; struct {uint64_t m; uint16_t e; uint16_t pad;} i; } u = { x };
int e = u.i.e & 0x7fff;
if (!e)
e++;
return e - 0x3fff - 63;
#else
// TODO
return 0;
#endif
}
float ulperrf(float got, float want, float dwant)
{
if (isnan(got) && isnan(want))
return 0;
if (got == want) {
if (signbit(got) == signbit(want))
return dwant;
return inf;
}
if (isinf(got)) {
got = copysignf(0x1p127, got);
want *= 0.5;
}
return scalbn(got - want, -eulpf(want)) + dwant;
}
float ulperr(double got, double want, float dwant)
{
if (isnan(got) && isnan(want))
return 0;
if (got == want) {
if (signbit(got) == signbit(want))
return dwant;
return inf; // treat 0 sign errors badly
}
if (isinf(got)) {
got = copysign(0x1p1023, got);
want *= 0.5;
}
return scalbn(got - want, -eulp(want)) + dwant;
}
float ulperrl(long double got, long double want, float dwant)
{
#if LDBL_MANT_DIG == 53
return ulperr(got, want, dwant);
#elif LDBL_MANT_DIG == 64
if (isnan(got) && isnan(want))
return 0;
if (got == want) {
if (signbit(got) == signbit(want))
return dwant;
return inf;
}
if (isinf(got)) {
got = copysignl(0x1p16383L, got);
want *= 0.5;
}
return scalbnl(got - want, -eulpl(want)) + dwant;
#else
// TODO
return inf;
#endif
}
#define length(a) (sizeof(a)/sizeof*(a))
#define flag(x) {x, #x}
static struct {
int flag;
char *s;
} eflags[] = {
flag(INEXACT),
flag(INVALID),
flag(DIVBYZERO),
flag(UNDERFLOW),
flag(OVERFLOW)
};
char *estr(int f)
{
static char buf[256];
char *p = buf;
int i, all = 0;
for (i = 0; i < length(eflags); i++)
if (f & eflags[i].flag) {
p += sprintf(p, "%s%s", all ? "|" : "", eflags[i].s);
all |= eflags[i].flag;
}
if (all != f) {
p += sprintf(p, "%s%d", all ? "|" : "", f & ~all);
all = f;
}
p += sprintf(p, "%s", all ? "" : "0");
return buf;
}
char *rstr(int r)
{
switch (r) {
case RN: return "RN";
#ifdef FE_TOWARDZERO
case RZ: return "RZ";
#endif
#ifdef FE_UPWARD
case RU: return "RU";
#endif
#ifdef FE_DOWNWARD
case RD: return "RD";
#endif
}
return "R?";
}