Files
Xenia-Canary/src/poly/math.cc
2014-07-12 21:52:33 -07:00

70 lines
2.4 KiB
C++

/**
******************************************************************************
* Xenia : Xbox 360 Emulator Research Project *
******************************************************************************
* Copyright 2014 Ben Vanik. All rights reserved. *
* Released under the BSD license - see LICENSE in the root for more details. *
******************************************************************************
*/
#include <poly/math.h>
namespace poly {
// TODO(benvanik): replace with alternate implementation.
// XMConvertFloatToHalf
// Copyright (c) Microsoft Corporation. All rights reserved.
uint16_t float_to_half(float value) {
uint32_t Result;
uint32_t IValue = ((uint32_t *)(&value))[0];
uint32_t Sign = (IValue & 0x80000000U) >> 16U;
IValue = IValue & 0x7FFFFFFFU; // Hack off the sign
if (IValue > 0x47FFEFFFU) {
// The number is too large to be represented as a half. Saturate to
// infinity.
Result = 0x7FFFU;
} else {
if (IValue < 0x38800000U) {
// The number is too small to be represented as a normalized half.
// Convert it to a denormalized value.
uint32_t Shift = 113U - (IValue >> 23U);
IValue = (0x800000U | (IValue & 0x7FFFFFU)) >> Shift;
} else {
// Rebias the exponent to represent the value as a normalized half.
IValue += 0xC8000000U;
}
Result = ((IValue + 0x0FFFU + ((IValue >> 13U) & 1U)) >> 13U) & 0x7FFFU;
}
return (uint16_t)(Result | Sign);
}
// TODO(benvanik): replace with alternate implementation.
// XMConvertHalfToFloat
// Copyright (c) Microsoft Corporation. All rights reserved.
float half_to_float(uint16_t value) {
uint32_t Mantissa = (uint32_t)(value & 0x03FF);
uint32_t Exponent;
if ((value & 0x7C00) != 0) {
// The value is normalized
Exponent = (uint32_t)((value >> 10) & 0x1F);
} else if (Mantissa != 0) {
// The value is denormalized
// Normalize the value in the resulting float
Exponent = 1;
do {
Exponent--;
Mantissa <<= 1;
} while ((Mantissa & 0x0400) == 0);
Mantissa &= 0x03FF;
} else {
// The value is zero
Exponent = (uint32_t)-112;
}
uint32_t Result = ((value & 0x8000) << 16) | // Sign
((Exponent + 112) << 23) | // Exponent
(Mantissa << 13); // Mantissa
return *(float *)&Result;
}
} // namespace poly