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math: rewrite remainder functions (remainder, remquo, fmod, modf)

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* results are exact
* modfl follows truncl (raises inexact flag spuriously now)
* modf and modff only had cosmetic cleanup
* remainder is just a wrapper around remquo now
* using iterative shift+subtract for remquo and fmod
* ld80 and ld128 are supported as well
This commit is contained in:
Szabolcs Nagy
2013-09-03 04:09:12 +00:00
parent d1a2ead878
commit ee2ee92d62
11 changed files with 481 additions and 1019 deletions
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29
src/math/modff.c
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@ -2,36 +2,33 @@
float modff(float x, float *iptr)
{
union {float x; uint32_t n;} u = {x};
union {float f; uint32_t i;} u = {x};
uint32_t mask;
int e;
e = (int)(u.n>>23 & 0xff) - 0x7f;
int e = (int)(u.i>>23 & 0xff) - 0x7f;
/* no fractional part */
if (e >= 23) {
*iptr = x;
if (e == 0x80 && u.n<<9 != 0) { /* nan */
if (e == 0x80 && u.i<<9 != 0) { /* nan */
return x;
}
u.n &= 0x80000000;
return u.x;
u.i &= 0x80000000;
return u.f;
}
/* no integral part */
if (e < 0) {
u.n &= 0x80000000;
*iptr = u.x;
u.i &= 0x80000000;
*iptr = u.f;
return x;
}
mask = 0x007fffff>>e;
if ((u.n & mask) == 0) {
if ((u.i & mask) == 0) {
*iptr = x;
u.n &= 0x80000000;
return u.x;
u.i &= 0x80000000;
return u.f;
}
u.n &= ~mask;
*iptr = u.x;
STRICT_ASSIGN(float, x, x - *iptr);
return x;
u.i &= ~mask;
*iptr = u.f;
return x - u.f;
}