glsl: Add "built-in" functions to do fp64_to_fp32(fp64)

Signed-off-by: Elie Tournier <elie.tournier@collabora.com>
This commit is contained in:
Elie Tournier 2017-08-09 22:36:28 +01:00 committed by Matt Turner
parent f499942b31
commit 407bd1bbf9
1 changed files with 101 additions and 0 deletions

View File

@ -944,3 +944,104 @@ __int_to_fp64(int a)
}
return __packFloat64(zSign, 0x412 - shiftCount, zFrac0, zFrac1);
}
/* Packs the sign `zSign', exponent `zExp', and significand `zFrac' into a
* single-precision floating-point value, returning the result. After being
* shifted into the proper positions, the three fields are simply added
* together to form the result. This means that any integer portion of `zSig'
* will be added into the exponent. Since a properly normalized significand
* will have an integer portion equal to 1, the `zExp' input should be 1 less
* than the desired result exponent whenever `zFrac' is a complete, normalized
* significand.
*/
float
__packFloat32(uint zSign, int zExp, uint zFrac)
{
return uintBitsToFloat((zSign<<31) + (uint(zExp)<<23) + zFrac);
}
/* Takes an abstract floating-point value having sign `zSign', exponent `zExp',
* and significand `zFrac', and returns the proper single-precision floating-
* point value corresponding to the abstract input. Ordinarily, the abstract
* value is simply rounded and packed into the single-precision format, with
* the inexact exception raised if the abstract input cannot be represented
* exactly. However, if the abstract value is too large, the overflow and
* inexact exceptions are raised and an infinity or maximal finite value is
* returned. If the abstract value is too small, the input value is rounded to
* a subnormal number, and the underflow and inexact exceptions are raised if
* the abstract input cannot be represented exactly as a subnormal single-
* precision floating-point number.
* The input significand `zFrac' has its binary point between bits 30
* and 29, which is 7 bits to the left of the usual location. This shifted
* significand must be normalized or smaller. If `zFrac' is not normalized,
* `zExp' must be 0; in that case, the result returned is a subnormal number,
* and it must not require rounding. In the usual case that `zFrac' is
* normalized, `zExp' must be 1 less than the "true" floating-point exponent.
* The handling of underflow and overflow follows the IEEE Standard for
* Floating-Point Arithmetic.
*/
float
__roundAndPackFloat32(uint zSign, int zExp, uint zFrac)
{
bool roundNearestEven;
int roundIncrement;
int roundBits;
roundNearestEven = FLOAT_ROUNDING_MODE == FLOAT_ROUND_NEAREST_EVEN;
roundIncrement = 0x40;
if (!roundNearestEven) {
if (FLOAT_ROUNDING_MODE == FLOAT_ROUND_TO_ZERO) {
roundIncrement = 0;
} else {
roundIncrement = 0x7F;
if (zSign != 0u) {
if (FLOAT_ROUNDING_MODE == FLOAT_ROUND_UP)
roundIncrement = 0;
} else {
if (FLOAT_ROUNDING_MODE == FLOAT_ROUND_DOWN)
roundIncrement = 0;
}
}
}
roundBits = int(zFrac & 0x7Fu);
if (0xFDu <= uint(zExp)) {
if ((0xFD < zExp) || ((zExp == 0xFD) && (int(zFrac) + roundIncrement) < 0))
return __packFloat32(zSign, 0xFF, 0u) - float(roundIncrement == 0);
int count = -zExp;
bool zexp_lt0 = zExp < 0;
uint zFrac_lt0 = mix(uint(zFrac != 0u), (zFrac>>count) | uint((zFrac<<((-count) & 31)) != 0u), (-zExp) < 32);
zFrac = mix(zFrac, zFrac_lt0, zexp_lt0);
roundBits = mix(roundBits, int(zFrac) & 0x7f, zexp_lt0);
zExp = mix(zExp, 0, zexp_lt0);
}
zFrac = (zFrac + uint(roundIncrement))>>7;
zFrac &= ~uint(((roundBits ^ 0x40) == 0) && roundNearestEven);
return __packFloat32(zSign, mix(zExp, 0, zFrac == 0u), zFrac);
}
/* Returns the result of converting the double-precision floating-point value
* `a' to the single-precision floating-point format. The conversion is
* performed according to the IEEE Standard for Floating-Point Arithmetic.
*/
float
__fp64_to_fp32(uint64_t __a)
{
uvec2 a = unpackUint2x32(__a);
uint zFrac = 0u;
uint allZero = 0u;
uint aFracLo = __extractFloat64FracLo(__a);
uint aFracHi = __extractFloat64FracHi(__a);
int aExp = __extractFloat64Exp(__a);
uint aSign = __extractFloat64Sign(__a);
if (aExp == 0x7FF) {
__shortShift64Left(a.y, a.x, 12, a.y, a.x);
float rval = uintBitsToFloat((aSign<<31) | 0x7FC00000u | (a.y>>9));
rval = mix(__packFloat32(aSign, 0xFF, 0u), rval, (aFracHi | aFracLo) != 0u);
return rval;
}
__shift64RightJamming(aFracHi, aFracLo, 22, allZero, zFrac);
zFrac = mix(zFrac, zFrac | 0x40000000u, aExp != 0);
return __roundAndPackFloat32(aSign, aExp - 0x381, zFrac);
}