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Remove the half.h header, now part of lol-core.

legacy
Sam Hocevar 5 年之前
父節點
8fe56fc27d
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共有 10 個文件被更改，包括 136 次插入 和 613 次删除
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Show Stats Download Patch File Download Diff File
  1. +18
    -37
      doc/samples/benchmark/half.cpp
  2. +1
    -1
      lol-core
  3. +2
    -3
      src/Makefile.am
  4. +0
    -3
      src/lol-core.vcxproj
  5. +0
    -9
      src/lol-core.vcxproj.filters
  6. +3
    -1
      src/lol/gpu/vertexbuffer.h
  7. +8
    -7
      src/lol/math/all.h
  8. +0
    -233
      src/lol/math/half.h
  9. +0
    -248
      src/math/half.cpp
  10. +104
    -71
      src/t/math/half.cpp

+ 18
- 37
doc/samples/benchmark/half.cpp 查看文件

@@ -25,7 +25,7 @@ static size_t const HALF_RUNS = 50;

void bench_half(int mode)
{
float result[10] = { 0.0f };
float result[7] = { 0.0f };
lol::timer timer;

/* Set up tables */
@@ -38,7 +38,7 @@ void bench_half(int mode)
{
case 1:
for (size_t i = 0; i < HALF_TABLE_SIZE + 1; i++)
ph[i] = half::makebits(rand<uint16_t>());
ph[i] = half::frombits(rand<uint16_t>());
break;
case 2:
default:
@@ -47,63 +47,47 @@ void bench_half(int mode)
break;
}

/* Convert half to float (array) */
timer.get();
half::convert(pf, ph, HALF_TABLE_SIZE);
result[0] += timer.get();

/* Convert half to float (fast) */
/* Convert half to float */
timer.get();
for (size_t i = 0; i < HALF_TABLE_SIZE; i++)
pf[i] = (float)ph[i];
result[1] += timer.get();
result[0] += timer.get();

/* Copy float */
timer.get();
for (size_t i = 0; i < HALF_TABLE_SIZE; i++)
pf[i] = pf[i + 1];
result[2] += timer.get();
result[1] += timer.get();

/* Add a half to every float */
timer.get();
for (size_t i = 0; i < HALF_TABLE_SIZE; i++)
pf[i] += ph[i];
result[3] += timer.get();
result[2] += timer.get();

/* Copy half */
timer.get();
for (size_t i = 0; i < HALF_TABLE_SIZE; i++)
ph[i] = ph[i + 1];
result[4] += timer.get();
result[3] += timer.get();

/* Change sign of every half */
timer.get();
for (size_t i = 0; i < HALF_TABLE_SIZE; i++)
ph[i] = -ph[i];
result[5] += timer.get();

/* Convert float to half (array) */
timer.get();
half::convert(ph, pf, HALF_TABLE_SIZE);
result[6] += timer.get();

/* Convert float to half (fast) */
timer.get();
for (size_t i = 0; i < HALF_TABLE_SIZE; i++)
ph[i] = (half)pf[i];
result[7] += timer.get();
result[4] += timer.get();

/* Convert float to half (accurate) */
timer.get();
for (size_t i = 0; i < HALF_TABLE_SIZE; i++)
ph[i] = half::makeaccurate(pf[i]);
result[8] += timer.get();
ph[i] = half(pf[i]);
result[5] += timer.get();

/* Add a float to every half */
timer.get();
for (size_t i = 0; i < HALF_TABLE_SIZE; i++)
ph[i] += pf[i];
result[9] += timer.get();
result[6] += timer.get();
}

delete[] pf;
@@ -113,15 +97,12 @@ void bench_half(int mode)
result[i] *= 1e9f / (HALF_TABLE_SIZE * HALF_RUNS);

msg::info(" ns/elem\n");
msg::info("float = half (array) %7.3f\n", result[0]);
msg::info("float = half (fast) %7.3f\n", result[1]);
msg::info("float = float %7.3f\n", result[2]);
msg::info("float += half %7.3f\n", result[3]);
msg::info("half = half %7.3f\n", result[4]);
msg::info("half = -half %7.3f\n", result[5]);
msg::info("half = float (array) %7.3f\n", result[6]);
msg::info("half = float (fast) %7.3f\n", result[7]);
msg::info("half = float (accurate) %7.3f\n", result[8]);
msg::info("half += float %7.3f\n", result[9]);
msg::info("float = half %7.3f\n", result[0]);
msg::info("float = float %7.3f\n", result[1]);
msg::info("float += half %7.3f\n", result[2]);
msg::info("half = half %7.3f\n", result[3]);
msg::info("half = -half %7.3f\n", result[4]);
msg::info("half = float %7.3f\n", result[5]);
msg::info("half += float %7.3f\n", result[6]);
}


+ 1
- 1
lol-core

@@ -1 +1 @@
Subproject commit f0b8cfc6f232b949c489f66479b7fc65c2c34891
Subproject commit 59a4b5bd0c6e0f3e4d6decaf260682a8e86672cb

+ 2
- 3
src/Makefile.am 查看文件

@@ -36,7 +36,7 @@ liblol_core_headers = \
lol/base/log.h \
\
lol/math/all.h \
lol/math/functions.h lol/math/half.h \
lol/math/functions.h \
lol/math/geometry.h lol/math/interp.h lol/math/arraynd.h \
lol/math/constants.h lol/math/bigint.h \
lol/math/noise/gradient.h lol/math/noise/perlin.h \
@@ -89,9 +89,8 @@ liblol_core_sources = \
easymesh/shinydebuglighting.lolfx easymesh/shinydebugnormal.lolfx \
easymesh/shinydebugUV.lolfx easymesh/shiny_SK.lolfx \
\
base/assert.cpp base/log.cpp base/string.cpp \
base/assert.cpp base/log.cpp \
\
math/half.cpp \
math/geometry.cpp \
\
gpu/shader.cpp gpu/indexbuffer.cpp gpu/vertexbuffer.cpp \


+ 0
- 3
src/lol-core.vcxproj 查看文件

@@ -107,7 +107,6 @@
<ClCompile Include="camera.cpp" />
<ClCompile Include="base\assert.cpp" />
<ClCompile Include="base\log.cpp" />
<ClCompile Include="base\string.cpp" />
<ClCompile Include="debug\fps.cpp" />
<ClCompile Include="debug\lines.cpp" />
<ClCompile Include="debug\record.cpp" />
@@ -175,7 +174,6 @@
<ClCompile Include="light.cpp" />
<ClCompile Include="lolua\baselua.cpp" />
<ClCompile Include="math\geometry.cpp" />
<ClCompile Include="math\half.cpp" />
<ClCompile Include="mesh\mesh.cpp" />
<ClCompile Include="mesh\primitivemesh.cpp" />
<ClCompile Include="messageservice.cpp" />
@@ -284,7 +282,6 @@
<ClInclude Include="lol\math\constants.h" />
<ClInclude Include="lol\math\functions.h" />
<ClInclude Include="lol\math\geometry.h" />
<ClInclude Include="lol\math\half.h" />
<ClInclude Include="lol\math\interp.h" />
<ClInclude Include="lol\math\noise\gradient.h" />
<ClInclude Include="lol\math\noise\perlin.h" />


+ 0
- 9
src/lol-core.vcxproj.filters 查看文件

@@ -17,9 +17,6 @@
<ClCompile Include="base\log.cpp">
<Filter>base</Filter>
</ClCompile>
<ClCompile Include="base\string.cpp">
<Filter>base</Filter>
</ClCompile>
<ClCompile Include="debug\fps.cpp">
<Filter>debug</Filter>
</ClCompile>
@@ -201,9 +198,6 @@
<ClCompile Include="math\geometry.cpp">
<Filter>math</Filter>
</ClCompile>
<ClCompile Include="math\half.cpp">
<Filter>math</Filter>
</ClCompile>
<ClCompile Include="mesh\mesh.cpp">
<Filter>mesh</Filter>
</ClCompile>
@@ -437,9 +431,6 @@
<ClInclude Include="lol\math\geometry.h">
<Filter>lol\math</Filter>
</ClInclude>
<ClInclude Include="lol\math\half.h">
<Filter>lol\math</Filter>
</ClInclude>
<ClInclude Include="lol\math\interp.h">
<Filter>lol\math</Filter>
</ClInclude>


+ 3
- 1
src/lol/gpu/vertexbuffer.h 查看文件

@@ -1,7 +1,7 @@
//
// Lol Engine
//
// Copyright © 2010—2019 Sam Hocevar <sam@hocevar.net>
// Copyright © 2010—2020 Sam Hocevar <sam@hocevar.net>
//
// Lol Engine is free software. It comes without any warranty, to
// the extent permitted by applicable law. You can redistribute it
@@ -17,6 +17,8 @@
// ----------------------------------------------
//

#include <lol/math/half.h>

#include <cstring>
#include <map>



+ 8
- 7
src/lol/math/all.h 查看文件

@@ -1,18 +1,19 @@
//
// Lol Engine
// Lol Engine
//
// Copyright: (c) 2010-2013 Sam Hocevar <sam@hocevar.net>
// This program is free software; you can redistribute it and/or
// modify it under the terms of the Do What The Fuck You Want To
// Public License, Version 2, as published by Sam Hocevar. See
// http://www.wtfpl.net/ for more details.
// Copyright © 2010—2020 Sam Hocevar <sam@hocevar.net>
//
// Lol Engine is free software. It comes without any warranty, to
// the extent permitted by applicable law. You can redistribute it
// and/or modify it under the terms of the Do What the Fuck You Want
// to Public License, Version 2, as published by the WTFPL Task Force.
// See http://www.wtfpl.net/ for more details.
//

#pragma once

#include <lol/math/constants.h>
#include <lol/math/functions.h>
#include <lol/math/half.h>
#include <lol/math/bigint.h>
#include <lol/math/vector.h>
#include <lol/math/transform.h>


+ 0
- 233
src/lol/math/half.h 查看文件

@@ -1,233 +0,0 @@
//
// Lol Engine
//
// Copyright © 2010—2020 Sam Hocevar <sam@hocevar.net>
//
// Lol Engine is free software. It comes without any warranty, to
// the extent permitted by applicable law. You can redistribute it
// and/or modify it under the terms of the Do What the Fuck You Want
// to Public License, Version 2, as published by the WTFPL Task Force.
// See http://www.wtfpl.net/ for more details.
//

#pragma once

//
// The Half class
// --------------
//

#include <lol/base/types.h>

#include <cmath>
#include <cstdio>
#include <stdint.h>

namespace lol
{

/* This is OUR namespace. Don't let Windows headers mess with it. */
#undef min
#undef max

namespace half_ops { struct base {}; }

class [[nodiscard]] half
: half_ops::base
{
public:
/* Constructors. Always inline so that the code can work in registers
* instead of calling routines with the hidden "this" parameter. */
inline half() { }
inline half(int f) { *this = makefast((float)f); }
inline half(float f) { *this = makefast(f); }
inline half(double f) { *this = makefast((float)f); }
inline half(ldouble f) { *this = makefast((float)f); }

[[nodiscard]] inline int is_nan() const
{
return ((bits & 0x7c00u) == 0x7c00u) && (bits & 0x03ffu);
}

[[nodiscard]] inline int is_finite() const
{
return (bits & 0x7c00u) != 0x7c00u;
}

[[nodiscard]] inline int is_inf() const
{
return (uint16_t)(bits << 1) == (0x7c00u << 1);
}

[[nodiscard]] inline int is_normal() const
{
return (is_finite() && (bits & 0x7c00u)) || ((bits & 0x7fffu) == 0);
}

/* Cast to other types -- always inline, see constructors */
inline half &operator =(int f) { return *this = makefast((float)f); }
inline half &operator =(float f) { return *this = makefast(f); }
inline half &operator =(double f) { return *this = makefast((float)f); }
inline half &operator =(ldouble f) { return *this = makefast((float)f); }
[[nodiscard]] inline operator int8_t() const { return (int8_t)(float)*this; }
[[nodiscard]] inline operator uint8_t() const { return (uint8_t)(float)*this; }
[[nodiscard]] inline operator int16_t() const { return (int16_t)(float)*this; }
[[nodiscard]] inline operator uint16_t() const { return (uint16_t)(float)*this; }
[[nodiscard]] inline operator int32_t() const { return (int32_t)(float)*this; }
[[nodiscard]] inline operator uint32_t() const { return (uint32_t)(float)*this; }
[[nodiscard]] inline operator int64_t() const { return (int64_t)(float)*this; }
[[nodiscard]] inline operator uint64_t() const { return (uint64_t)(float)*this; }

[[nodiscard]] operator float() const;
[[nodiscard]] inline operator double() const { return (float)(*this); }
[[nodiscard]] inline operator ldouble() const { return (float)(*this); }

/* Array conversions */
static void convert(half *dst, float const *src, size_t nelem);
static void convert(float *dst, half const *src, size_t nelem);

/* Operations */
[[nodiscard]] bool operator ==(half x) const { return (float)*this == (float)x; }
[[nodiscard]] bool operator !=(half x) const { return (float)*this != (float)x; }
[[nodiscard]] bool operator <(half x) const { return (float)*this < (float)x; }
[[nodiscard]] bool operator >(half x) const { return (float)*this > (float)x; }
[[nodiscard]] bool operator <=(half x) const { return (float)*this <= (float)x; }
[[nodiscard]] bool operator >=(half x) const { return (float)*this >= (float)x; }

[[nodiscard]] bool operator !() const { return !(bits & 0x7fffu); }
[[nodiscard]] operator bool() const { return !!*this; }

inline half operator -() const { return makebits(bits ^ 0x8000u); }
inline half operator +() const { return *this; }
inline half &operator +=(half h) { return (*this = (half)(*this + h)); }
inline half &operator -=(half h) { return (*this = (half)(*this - h)); }
inline half &operator *=(half h) { return (*this = (half)(*this * h)); }
inline half &operator /=(half h) { return (*this = (half)(*this / h)); }

[[nodiscard]] inline float operator +(half h) const { return (float)*this + (float)h; }
[[nodiscard]] inline float operator -(half h) const { return (float)*this - (float)h; }
[[nodiscard]] inline float operator *(half h) const { return (float)*this * (float)h; }
[[nodiscard]] inline float operator /(half h) const { return (float)*this / (float)h; }

/* Factories */
static half makefast(float f);
static half makeaccurate(float f);
static inline half makebits(uint16_t x)
{
half ret;
ret.bits = x;
return ret;
}

/* Internal representation */
uint16_t bits;
};

static_assert(sizeof(half) == 2, "sizeof(half) == 2");

/*
* Standard math and GLSL functions
*/

static inline half min(half a, half b) { return a < b ? a : b; }
static inline half max(half a, half b) { return a > b ? a : b; }
static inline float fmod(half a, half b)
{
using std::fmod;
return fmod((float)a, (float)b);
}
static inline float fract(half a) { return fract((float)a); }
static inline float degrees(half a) { return degrees((float)a); }
static inline float radians(half a) { return radians((float)a); }
static inline half abs(half a) { return half::makebits(a.bits & 0x7fffu); }

static inline half clamp(half x, half a, half b)
{
return (x < a) ? a : (x > b) ? b : x;
}

/*
* Standard math operators
*/

namespace half_ops
{
/* Enumerate the types for which operations with half are valid */
template<typename FROM, typename TO = void> struct valid {};

template<typename TO> struct valid<uint8_t, TO>
{ typedef half from; typedef TO to; };
template<typename TO> struct valid<int8_t, TO>
{ typedef half from; typedef TO to; };
template<typename TO> struct valid<uint16_t, TO>
{ typedef half from; typedef TO to; };
template<typename TO> struct valid<int16_t, TO>
{ typedef half from; typedef TO to; };
template<typename TO> struct valid<uint32_t, TO>
{ typedef half from; typedef TO to; };
template<typename TO> struct valid<int32_t, TO>
{ typedef half from; typedef TO to; };
template<typename TO> struct valid<uint64_t, TO>
{ typedef half from; typedef TO to; };
template<typename TO> struct valid<int64_t, TO>
{ typedef half from; typedef TO to; };

template<typename TO> struct valid<float, TO>
{ typedef float from; typedef TO to; };
template<typename TO> struct valid<double, TO>
{ typedef double from; typedef TO to; };
template<typename TO> struct valid<ldouble, TO>
{ typedef ldouble from; typedef TO to; };

#define DECLARE_HALF_NUMERIC_OPS(op) \
/* other + half */ \
template<typename T> \
static inline typename valid<T>::from operator op(T x, half h) \
{ return (typename valid<T>::from)x op (typename valid<T>::from)h; } \
\
/* half + other */ \
template<typename T> \
static inline typename valid<T>::from operator op(half h, T x) \
{ return (typename valid<T>::from)h op (typename valid<T>::from)x; } \
\
/* other += half */ \
template<typename T> \
static inline typename valid<T,T>::to& operator op##=(T& x, half h) \
{ return x = (typename valid<T>::from)x op (typename valid<T>::from)h; } \
\
/* half += other */ \
template<typename T> \
static inline typename valid<T,half>::to& operator op##=(half& h, T x) \
{ return h = (typename valid<T>::from)h op (typename valid<T>::from)x; }

DECLARE_HALF_NUMERIC_OPS(+)
DECLARE_HALF_NUMERIC_OPS(-)
DECLARE_HALF_NUMERIC_OPS(*)
DECLARE_HALF_NUMERIC_OPS(/)

#undef DECLARE_HALF_NUMERIC_OPS

#define DECLARE_HALF_BOOL_OPS(op) \
/* half == other */ \
template<typename T> \
static inline typename valid<T,bool>::to operator op(half h, T x) \
{ return (typename valid<T>::from)h op (typename valid<T>::from)x; } \
\
/* other == half */ \
template<typename T> \
static inline typename valid<T,bool>::to operator op(T x, half h) \
{ return (typename valid<T>::from)x op (typename valid<T>::from)h; }

DECLARE_HALF_BOOL_OPS(==)
DECLARE_HALF_BOOL_OPS(!=)
DECLARE_HALF_BOOL_OPS(>)
DECLARE_HALF_BOOL_OPS(<)
DECLARE_HALF_BOOL_OPS(>=)
DECLARE_HALF_BOOL_OPS(<=)

#undef DECLARE_HALF_BOOL_OPS

} /* namespace half_ops */

} /* namespace lol */


+ 0
- 248
src/math/half.cpp 查看文件

@@ -1,248 +0,0 @@
//
// Lol Engine
//
// Copyright © 2010—2019 Sam Hocevar <sam@hocevar.net>
//
// Lol Engine is free software. It comes without any warranty, to
// the extent permitted by applicable law. You can redistribute it
// and/or modify it under the terms of the Do What the Fuck You Want
// to Public License, Version 2, as published by the WTFPL Task Force.
// See http://www.wtfpl.net/ for more details.
//

#include <lol/engine-internal.h>

namespace lol
{

/* These macros implement a finite iterator useful to build lookup
* tables. For instance, S64(0) will call S1(x) for all values of x
* between 0 and 63.
* Due to the exponential behaviour of the calls, the stress on the
* compiler may be important. */
#define S4(x) S1((x)), S1((x)+1), S1((x)+2), S1((x)+3)
#define S16(x) S4((x)), S4((x)+4), S4((x)+8), S4((x)+12)
#define S64(x) S16((x)), S16((x)+16), S16((x)+32), S16((x)+48)
#define S256(x) S64((x)), S64((x)+64), S64((x)+128), S64((x)+192)
#define S1024(x) S256((x)), S256((x)+256), S256((x)+512), S256((x)+768)

/* Lookup table-based algorithm from “Fast Half Float Conversions”
* by Jeroen van der Zijp, November 2008. No rounding is performed,
* and some NaN values may be incorrectly converted to Inf (because
* the lowest order bits in the mantissa are ignored). */
static inline uint16_t float_to_half_nobranch(uint32_t x)
{
static uint16_t const basetable[512] =
{
#define S1(i) (((i) < 103) ? 0x0000u : \
((i) < 113) ? 0x0400u >> (0x1f & (113 - (i))) : \
((i) < 143) ? ((i) - 112) << 10 : 0x7c00u)
S256(0),
#undef S1
#define S1(i) (uint16_t)(0x8000u | basetable[i])
S256(0),
#undef S1
};

static uint8_t const shifttable[512] =
{
#define S1(i) (((i) < 103) ? 24 : \
((i) < 113) ? 126 - (i) : \
((i) < 143 || (i) == 255) ? 13 : 24)
S256(0), S256(0),
#undef S1
};

uint16_t bits = basetable[(x >> 23) & 0x1ff];
bits |= (x & 0x007fffff) >> shifttable[(x >> 23) & 0x1ff];
return bits;
}

/* This method is faster than the OpenEXR implementation (very often
* used, eg. in Ogre), with the additional benefit of rounding, inspired
* by James Tursa’s half-precision code. */
static inline uint16_t float_to_half_branch(uint32_t x)
{
uint16_t bits = (x >> 16) & 0x8000; /* Get the sign */
uint16_t m = (x >> 12) & 0x07ff; /* Keep one extra bit for rounding */
unsigned int e = (x >> 23) & 0xff; /* Using int is faster here */

/* If zero, or denormal, or exponent underflows too much for a denormal
* half, return signed zero. */
if (e < 103)
return bits;

/* If NaN, return NaN. If Inf or exponent overflow, return Inf. */
if (e > 142)
{
bits |= 0x7c00u;
/* If exponent was 0xff and one mantissa bit was set, it means NaN,
* not Inf, so make sure we set one mantissa bit too. */
bits |= e == 255 && (x & 0x007fffffu);
return bits;
}

/* If exponent underflows but not too much, return a denormal */
if (e < 113)
{
m |= 0x0800u;
/* Extra rounding may overflow and set mantissa to 0 and exponent
* to 1, which is OK. */
bits |= (m >> (114 - e)) + ((m >> (113 - e)) & 1);
return bits;
}

bits |= ((e - 112) << 10) | (m >> 1);
/* Extra rounding. An overflow will set mantissa to 0 and increment
* the exponent, which is OK. */
bits += m & 1;
return bits;
}

/* We use this magic table, inspired by De Bruijn sequences, to compute a
* branchless integer log2. The actual value fetched is 24-log2(x+1) for x
* in 1, 3, 7, f, 1f, 3f, 7f, ff, 1fe, 1ff, 3fc, 3fd, 3fe, 3ff. See
* http://lolengine.net/blog/2012/04/03/beyond-de-bruijn for an explanation
* of how the value 0x5a1a1a2u was obtained. */
static uint32_t const shifttable[16] =
{
23, 22, 21, 15, 0, 20, 18, 14, 14, 16, 19, 0, 17, 0, 0, 0,
};
static uint32_t const shiftmagic = 0x5a1a1a2u;

/* Lookup table-based algorithm from “Fast Half Float Conversions”
* by Jeroen van der Zijp, November 2008. Tables are generated using
* the C++ preprocessor, thanks to a branchless implementation also
* used in half_to_float_branch(). This code is very fast when performing
* conversions on arrays of values. */
static inline uint32_t half_to_float_nobranch(uint16_t x)
{
#define M3(i) ((i) | ((i) >> 1))
#define M7(i) (M3(i) | (M3(i) >> 2))
#define MF(i) (M7(i) | (M7(i) >> 4))
#define E(i) shifttable[(uint32_t)((uint64_t)MF(i) * shiftmagic) >> 28]

static uint32_t const mantissatable[2048] =
{
#define S1(i) (((i) == 0) ? 0 : ((125 - E(i)) << 23) + ((i) << E(i)))
S1024(0),
#undef S1
#define S1(i) (0x38000000u + ((i) << 13))
S1024(0),
#undef S1
};

static uint32_t const exponenttable[64] =
{
#define S1(i) (((i) == 0) ? 0 : \
((i) < 31) ? ((uint32_t)(i) << 23) : \
((i) == 31) ? 0x47800000u : \
((i) == 32) ? 0x80000000u : \
((i) < 63) ? (0x80000000u | (((i) - 32) << 23)) : 0xc7800000)
S64(0),
#undef S1
};

static int const offsettable[64] =
{
#define S1(i) (((i) == 0 || (i) == 32) ? 0 : 1024)
S64(0),
#undef S1
};

return mantissatable[offsettable[x >> 10] + (x & 0x3ff)]
+ exponenttable[x >> 10];
}

/* This algorithm is similar to the OpenEXR implementation, except it
* uses branchless code in the denormal path. This is slower than the
* table version, but will be more friendly to the cache for occasional
* uses. */
static inline uint32_t half_to_float_branch(uint16_t x)
{
uint32_t s = (x & 0x8000u) << 16;

if ((x & 0x7fffu) == 0)
return (uint32_t)x << 16;

uint32_t e = x & 0x7c00u;
uint32_t m = x & 0x03ffu;

if (e == 0)
{
/* m has 10 significant bits but replicating the leading bit to
* 8 positions instead of 16 works just as well because of our
* handcrafted shiftmagic table. */
uint32_t v = m | (m >> 1);
v |= v >> 2;
v |= v >> 4;

e = shifttable[(v * shiftmagic) >> 28];

/* We don't have to remove the 10th mantissa bit because it gets
* added to our underestimated exponent. */
return s | (((125 - e) << 23) + (m << e));
}

if (e == 0x7c00u)
{
/* The amd64 pipeline likes the if() better than a ternary operator
* or any other trick I could find. --sam */
if (m == 0)
return s | 0x7f800000u;
return s | 0x7fc00000u;
}

return s | (((e >> 10) + 112) << 23) | (m << 13);
}

/* Constructor from float. Uses the non-branching version because benchmarks
* indicate it is about 80% faster on amd64, and 20% faster on the PS3. The
* penalty of loading the lookup tables does not seem important. */
half half::makefast(float f)
{
union { float f; uint32_t x; } u = { f };
return makebits(float_to_half_nobranch(u.x));
}

/* Constructor from float with better precision. */
half half::makeaccurate(float f)
{
union { float f; uint32_t x; } u = { f };
return makebits(float_to_half_branch(u.x));
}

/* Cast to float. Uses the branching version because loading the tables
* for only one value is going to be cache-expensive. */
half::operator float() const
{
union { float f; uint32_t x; } u;
u.x = half_to_float_branch(bits);
return u.f;
}

void half::convert(half *dst, float const *src, size_t nelem)
{
for (size_t i = 0; i < nelem; i++)
{
union { float f; uint32_t x; } u;
u.f = *src++;
*dst++ = makebits(float_to_half_nobranch(u.x));
}
}

void half::convert(float *dst, half const *src, size_t nelem)
{
for (size_t i = 0; i < nelem; i++)
{
union { float f; uint32_t x; } u;

/* This code is really too slow on the PS3, even with the denormal
* handling stripped off. */
u.x = half_to_float_nobranch((*src++).bits);
*dst++ = u.f;
}
}

} /* namespace lol */


+ 104
- 71
src/t/math/half.cpp 查看文件

@@ -19,50 +19,83 @@
namespace lol
{

static_assert(sizeof(f16vec2) == 4, "sizeof(f16vec2) == 4");
static_assert(sizeof(f16vec3) == 6, "sizeof(f16vec3) == 6");
static_assert(sizeof(f16vec4) == 8, "sizeof(f16vec4) == 8");

static_assert(sizeof(f16mat2) == 8, "sizeof(f16mat2) == 8");
static_assert(sizeof(f16mat3) == 18, "sizeof(f16mat3) == 18");
static_assert(sizeof(f16mat4) == 32, "sizeof(f16mat4) == 32");

static_assert(sizeof(f16cmplx) == 4, "sizeof(f16cmplx) == 4");
static_assert(sizeof(f16quat) == 8, "sizeof(f16quat) == 8");

lolunit_declare_fixture(half_test)
{
// Largest normal number is 65504 (2¹⁵*(1+1023/1024))
static float constexpr largest_normal = 65504.f;

lolunit_declare_test(float_to_half)
{
for (size_t i = 0; i < sizeof(pairs) / sizeof(*pairs); i++)
for (auto &pair : pairs)
{
half a = (half)pairs[i].f;
uint16_t b = pairs[i].x;
lolunit_set_context(i);
lolunit_assert_equal(a.bits, b);
lolunit_set_context(pair.x);

half a = (half)pair.f;
uint16_t b = pair.x;
lolunit_assert_equal(a.bits(), b);
}
}

lolunit_declare_test(float_to_half_accurate)
lolunit_declare_test(bits_to_half)
{
for (size_t i = 0; i < sizeof(pairs) / sizeof(*pairs); i++)
for (unsigned int i = 0; i < 0x10000; i++)
{
half a = half::makeaccurate(pairs[i].f);
uint16_t b = pairs[i].x;
lolunit_set_context(i);
lolunit_assert_equal(a.bits, b);

half a = half::frombits(i);
uint16_t b = i;
lolunit_assert_equal(a.bits(), b);
}
}

lolunit_declare_test(bits_to_half)
lolunit_declare_test(equal)
{
for (unsigned int i = 0; i < 0x10000; i++)
for (auto &pair : pairs)
{
half a = half::makebits(i);
uint16_t b = i;
lolunit_set_context(i);
lolunit_assert_equal(a.bits, b);
lolunit_set_context(pair.x);

half a = half::frombits(pair.x);
half b = half::frombits(pair.x);
lolunit_assert_equal(a, b);
}
}

lolunit_declare_test(different)
{
for (auto &p1 : pairs)
for (auto &p2 : pairs)
{
if (p1.f == p2.f)
continue;

lolunit_set_context(lol::format("%04x %04x", p1.x, p2.x));

half a = half::frombits(p1.x);
half b = half::frombits(p2.x);
lolunit_assert_different(a, b);
}
}

lolunit_declare_test(half_is_nan)
{
lolunit_assert(half::makebits(0x7c01).is_nan());
lolunit_assert(half::makebits(0xfc01).is_nan());
lolunit_assert(half::makebits(0x7e00).is_nan());
lolunit_assert(half::makebits(0xfe00).is_nan());
lolunit_assert(half::frombits(0x7c01).is_nan());
lolunit_assert(half::frombits(0xfc01).is_nan());
lolunit_assert(half::frombits(0x7e00).is_nan());
lolunit_assert(half::frombits(0xfe00).is_nan());

lolunit_assert(!half::makebits(0x7c00).is_nan());
lolunit_assert(!half::makebits(0xfc00).is_nan());
lolunit_assert(!half::frombits(0x7c00).is_nan());
lolunit_assert(!half::frombits(0xfc00).is_nan());

lolunit_assert(!half(0.0f).is_nan());
lolunit_assert(!half(-0.0f).is_nan());
@@ -77,48 +110,48 @@ lolunit_declare_fixture(half_test)

lolunit_assert(!half(0.0f).is_inf());
lolunit_assert(!half(-0.0f).is_inf());
lolunit_assert(!half(65535.0f).is_inf());
lolunit_assert(!half(-65535.0f).is_inf());
lolunit_assert(!half(largest_normal).is_inf());
lolunit_assert(!half(-largest_normal).is_inf());

lolunit_assert(half::makebits(0x7c00).is_inf());
lolunit_assert(half::makebits(0xfc00).is_inf());
lolunit_assert(half::frombits(0x7c00).is_inf());
lolunit_assert(half::frombits(0xfc00).is_inf());

lolunit_assert(!half::makebits(0x7e00).is_inf());
lolunit_assert(!half::makebits(0xfe00).is_inf());
lolunit_assert(!half::frombits(0x7e00).is_inf());
lolunit_assert(!half::frombits(0xfe00).is_inf());
}

lolunit_declare_test(half_is_finite)
{
lolunit_assert(half(0.0f).is_finite());
lolunit_assert(half(-0.0f).is_finite());
lolunit_assert(half(65535.0f).is_finite());
lolunit_assert(half(-65535.0f).is_finite());
lolunit_assert(half(largest_normal).is_finite());
lolunit_assert(half(-largest_normal).is_finite());

lolunit_assert(!half(65536.0f).is_finite());
lolunit_assert(!half(-65536.0f).is_finite());

lolunit_assert(!half::makebits(0x7c00).is_finite());
lolunit_assert(!half::makebits(0xfc00).is_finite());
lolunit_assert(!half::frombits(0x7c00).is_finite());
lolunit_assert(!half::frombits(0xfc00).is_finite());

lolunit_assert(!half::makebits(0x7e00).is_finite());
lolunit_assert(!half::makebits(0xfe00).is_finite());
lolunit_assert(!half::frombits(0x7e00).is_finite());
lolunit_assert(!half::frombits(0xfe00).is_finite());
}

lolunit_declare_test(half_is_normal)
{
lolunit_assert(half(0.0f).is_normal());
lolunit_assert(half(-0.0f).is_normal());
lolunit_assert(half(65535.0f).is_normal());
lolunit_assert(half(-65535.0f).is_normal());
lolunit_assert(half(largest_normal).is_normal());
lolunit_assert(half(-largest_normal).is_normal());

lolunit_assert(!half(65536.0f).is_normal());
lolunit_assert(!half(-65536.0f).is_normal());

lolunit_assert(!half::makebits(0x7c00).is_normal());
lolunit_assert(!half::makebits(0xfc00).is_normal());
lolunit_assert(!half::frombits(0x7c00).is_normal());
lolunit_assert(!half::frombits(0xfc00).is_normal());

lolunit_assert(!half::makebits(0x7e00).is_normal());
lolunit_assert(!half::makebits(0xfe00).is_normal());
lolunit_assert(!half::frombits(0x7e00).is_normal());
lolunit_assert(!half::frombits(0xfe00).is_normal());
}

lolunit_declare_test(half_classify)
@@ -126,7 +159,7 @@ lolunit_declare_fixture(half_test)
for (uint32_t i = 0; i < 0x10000; i++)
{
lolunit_set_context(i);
half h = half::makebits(i);
half h = half::frombits(i);
if (h.is_nan())
{
lolunit_assert(!h.is_inf());
@@ -149,7 +182,7 @@ lolunit_declare_fixture(half_test)
{
for (size_t i = 0; i < sizeof(pairs) / sizeof(*pairs); i++)
{
float a = (float)half::makebits(pairs[i].x);
float a = (float)half::frombits(pairs[i].x);
float b = pairs[i].f;
lolunit_set_context(i);
lolunit_assert_equal(a, b);
@@ -157,14 +190,14 @@ lolunit_declare_fixture(half_test)

for (uint32_t i = 0; i < 0x10000; i++)
{
half h = half::makebits(i);
half h = half::frombits(i);
if (h.is_nan())
continue;

float f = (float)h;
half g = (half)f;
lolunit_set_context(i);
lolunit_assert_equal(g.bits, h.bits);
lolunit_assert_equal(g, h);
}
}

@@ -184,9 +217,9 @@ lolunit_declare_fixture(half_test)

lolunit_declare_test(float_op_half)
{
half zero = 0;
half one = 1;
half two = 2;
half const zero(0);
half const one(1);
half const two(2);

float a = zero + one;
lolunit_assert_equal(1.0f, a);
@@ -225,44 +258,44 @@ lolunit_declare_fixture(half_test)

lolunit_declare_test(half_op_float)
{
half zero = 0;
half one = 1;
half two = 2;
half four = 4;
half const zero(0);
half const one(1);
half const two(2);
half const four(4);

half a = one + 0.0f;
lolunit_assert_equal(one.bits, a.bits);
half a(one + 0.0f);
lolunit_assert_equal(one, a);
a += 0.0f;
lolunit_assert_equal(one.bits, a.bits);
lolunit_assert_equal(one, a);
a -= 0.0f;
lolunit_assert_equal(one.bits, a.bits);
lolunit_assert_equal(one, a);
a *= 1.0f;
lolunit_assert_equal(one.bits, a.bits);
lolunit_assert_equal(one, a);
a /= 1.0f;
lolunit_assert_equal(one.bits, a.bits);
lolunit_assert_equal(one, a);

half b = one + 0.0f;
lolunit_assert_equal(one.bits, b.bits);
half b(one + 0.0f);
lolunit_assert_equal(one, b);
b += 1.0f;
lolunit_assert_equal(two.bits, b.bits);
lolunit_assert_equal(two, b);
b *= 2.0f;
lolunit_assert_equal(four.bits, b.bits);
lolunit_assert_equal(four, b);
b -= 2.0f;
lolunit_assert_equal(two.bits, b.bits);
lolunit_assert_equal(two, b);
b /= 2.0f;
lolunit_assert_equal(one.bits, b.bits);
lolunit_assert_equal(one, b);

half c = 1.0f - zero;
lolunit_assert_equal(one.bits, c.bits);
half c(1.0f - zero);
lolunit_assert_equal(one, c);

half d = 2.0f - one;
lolunit_assert_equal(one.bits, d.bits);
half d(2.0f - one);
lolunit_assert_equal(one, d);

half e = 2.0f + (-one);
lolunit_assert_equal(one.bits, e.bits);
half e(2.0f + (-one));
lolunit_assert_equal(one, e);

half f = (2.0f * two) / (1.0f + one);
lolunit_assert_equal(two.bits, f.bits);
half f((2.0f * two) / (1.0f + one));
lolunit_assert_equal(two, f);
}

struct test_pair { float f; uint16_t x; };


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