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renderdoc/renderdoc/maths/half_convert.h
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///////////////////////////////////////////////////////////////////////////
//
// Copyright (c) 2002, Industrial Light & Magic, a division of Lucas
// Digital Ltd. LLC
//
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above
// copyright notice, this list of conditions and the following disclaimer
// in the documentation and/or other materials provided with the
// distribution.
// * Neither the name of Industrial Light & Magic nor the names of
// its contributors may be used to endorse or promote products derived
// from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
///////////////////////////////////////////////////////////////////////////
#pragma once
inline uint16_t ConvertToHalf(float comp)
{
int *alias = (int *)∁
int i = *alias;
int sign = (i >> 16) & 0x00008000;
int exponent = ((i >> 23) & 0x000000ff) - (127 - 15);
int mantissa = i & 0x007fffff;
if(exponent <= 0)
{
if(exponent < -10)
return sign & 0xffff;
mantissa |= 0x00800000;
int t = 14 - exponent;
int a = (1 << (t - 1)) - 1;
int b = (mantissa >> t) & 1;
mantissa = (mantissa + a + b) >> t;
return (sign | mantissa) & 0xffff;
}
else if(exponent == 0xff - (127 - 15))
{
if(mantissa == 0)
return (sign | 0x7c00) & 0xffff;
mantissa >>= 13;
return (sign | 0x7c00 | mantissa | (mantissa == 0)) & 0xffff;
}
else
{
mantissa = mantissa + 0x00000fff + ((mantissa >> 13) & 1);
if(mantissa & 0x00800000)
{
mantissa = 0;
exponent += 1;
}
if(exponent > 30)
{
return (sign | 0x7c00) & 0xffff;
}
return (sign | (exponent << 10) | (mantissa >> 13)) & 0xffff;
}
}
inline float ConvertFromHalf(uint16_t comp)
{
bool sign = (comp & 0x8000) != 0;
int exponent = (comp & 0x7C00) >> 10;
int mantissa = comp & 0x03FF;
if(exponent == 0x00)
{
if(mantissa == 0)
return 0.0f;
// subnormal
float ret = (float)mantissa;
int *alias = (int *)&ret;
// set sign bit and set exponent to 2^-24
// (2^-14 from spec for subnormals * 2^-10 to convert (float)mantissa to 0.mantissa)
*alias = (sign ? 0x80000000 : 0) | (*alias - (24 << 23));
return ret;
}
else if(exponent < 0x1f)
{
exponent -= 15;
float ret = 0.0f;
int *alias = (int *)&ret;
// convert to float. Put sign bit in the right place, convert exponent to be
// [-128,127] and put in the right place, then shift mantissa up.
*alias = (sign ? 0x80000000 : 0) | (exponent + 127) << 23 | (mantissa << 13);
return ret;
}
else // if(exponent = 0x1f)
{
union
{
int i;
float f;
} nan;
nan.i = 0x7F800001;
return nan.f;
}
}