///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net)
/// Permission is hereby granted, free of charge, to any person obtaining a copy
/// of this software and associated documentation files (the "Software"), to deal
/// in the Software without restriction, including without limitation the rights
/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
/// copies of the Software, and to permit persons to whom the Software is
/// furnished to do so, subject to the following conditions:
///
/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
///
/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
/// THE SOFTWARE.
///
/// @ref gtc_packing
/// @file glm/gtc/packing.inl
/// @date 2013-08-08 / 2013-08-08
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#include "../common.hpp"
#include "../vec2.hpp"
#include "../vec3.hpp"
#include "../vec4.hpp"
#include "../detail/type_half.hpp"
namespace glm{
namespace detail
{
GLM_FUNC_QUALIFIER glm::uint16 float2half(glm::uint32 const & f)
{
// 10 bits => EE EEEFFFFF
// 11 bits => EEE EEFFFFFF
// Half bits => SEEEEEFF FFFFFFFF
// Float bits => SEEEEEEE EFFFFFFF FFFFFFFF FFFFFFFF
// 0x00007c00 => 00000000 00000000 01111100 00000000
// 0x000003ff => 00000000 00000000 00000011 11111111
// 0x38000000 => 00111000 00000000 00000000 00000000
// 0x7f800000 => 01111111 10000000 00000000 00000000
// 0x00008000 => 00000000 00000000 10000000 00000000
return
((f >> 16) & 0x8000) | // sign
((((f & 0x7f800000) - 0x38000000) >> 13) & 0x7c00) | // exponential
((f >> 13) & 0x03ff); // Mantissa
}
GLM_FUNC_QUALIFIER glm::uint32 float2packed11(glm::uint32 const & f)
{
// 10 bits => EE EEEFFFFF
// 11 bits => EEE EEFFFFFF
// Half bits => SEEEEEFF FFFFFFFF
// Float bits => SEEEEEEE EFFFFFFF FFFFFFFF FFFFFFFF
// 0x000007c0 => 00000000 00000000 00000111 11000000
// 0x00007c00 => 00000000 00000000 01111100 00000000
// 0x000003ff => 00000000 00000000 00000011 11111111
// 0x38000000 => 00111000 00000000 00000000 00000000
// 0x7f800000 => 01111111 10000000 00000000 00000000
// 0x00008000 => 00000000 00000000 10000000 00000000
return
((((f & 0x7f800000) - 0x38000000) >> 17) & 0x07c0) | // exponential
((f >> 17) & 0x003f); // Mantissa
}
GLM_FUNC_QUALIFIER glm::uint32 packed11ToFloat(glm::uint32 const & p)
{
// 10 bits => EE EEEFFFFF
// 11 bits => EEE EEFFFFFF
// Half bits => SEEEEEFF FFFFFFFF
// Float bits => SEEEEEEE EFFFFFFF FFFFFFFF FFFFFFFF
// 0x000007c0 => 00000000 00000000 00000111 11000000
// 0x00007c00 => 00000000 00000000 01111100 00000000
// 0x000003ff => 00000000 00000000 00000011 11111111
// 0x38000000 => 00111000 00000000 00000000 00000000
// 0x7f800000 => 01111111 10000000 00000000 00000000
// 0x00008000 => 00000000 00000000 10000000 00000000
return
((((p & 0x07c0) << 17) + 0x38000000) & 0x7f800000) | // exponential
((p & 0x003f) << 17); // Mantissa
}
GLM_FUNC_QUALIFIER glm::uint32 float2packed10(glm::uint32 const & f)
{
// 10 bits => EE EEEFFFFF
// 11 bits => EEE EEFFFFFF
// Half bits => SEEEEEFF FFFFFFFF
// Float bits => SEEEEEEE EFFFFFFF FFFFFFFF FFFFFFFF
// 0x0000001F => 00000000 00000000 00000000 00011111
// 0x0000003F => 00000000 00000000 00000000 00111111
// 0x000003E0 => 00000000 00000000 00000011 11100000
// 0x000007C0 => 00000000 00000000 00000111 11000000
// 0x00007C00 => 00000000 00000000 01111100 00000000
// 0x000003FF => 00000000 00000000 00000011 11111111
// 0x38000000 => 00111000 00000000 00000000 00000000
// 0x7f800000 => 01111111 10000000 00000000 00000000
// 0x00008000 => 00000000 00000000 10000000 00000000
return
((((f & 0x7f800000) - 0x38000000) >> 18) & 0x03E0) | // exponential
((f >> 18) & 0x001f); // Mantissa
}
GLM_FUNC_QUALIFIER glm::uint32 packed10ToFloat(glm::uint32 const & p)
{
// 10 bits => EE EEEFFFFF
// 11 bits => EEE EEFFFFFF
// Half bits => SEEEEEFF FFFFFFFF
// Float bits => SEEEEEEE EFFFFFFF FFFFFFFF FFFFFFFF
// 0x0000001F => 00000000 00000000 00000000 00011111
// 0x0000003F => 00000000 00000000 00000000 00111111
// 0x000003E0 => 00000000 00000000 00000011 11100000
// 0x000007C0 => 00000000 00000000 00000111 11000000
// 0x00007C00 => 00000000 00000000 01111100 00000000
// 0x000003FF => 00000000 00000000 00000011 11111111
// 0x38000000 => 00111000 00000000 00000000 00000000
// 0x7f800000 => 01111111 10000000 00000000 00000000
// 0x00008000 => 00000000 00000000 10000000 00000000
return
((((p & 0x03E0) << 18) + 0x38000000) & 0x7f800000) | // exponential
((p & 0x001f) << 18); // Mantissa
}
GLM_FUNC_QUALIFIER glm::uint half2float(glm::uint const & h)
{
return ((h & 0x8000) << 16) | ((( h & 0x7c00) + 0x1C000) << 13) | ((h & 0x03FF) << 13);
}
GLM_FUNC_QUALIFIER glm::uint floatTo11bit(float x)
{
if(x == 0.0f)
return 0;
else if(glm::isnan(x))
return ~0;
else if(glm::isinf(x))
return 0x1f << 6;
return float2packed11(reinterpret_cast<uint&>(x));
}
GLM_FUNC_QUALIFIER float packed11bitToFloat(glm::uint x)
{
if(x == 0)
return 0.0f;
else if(x == ((1 << 11) - 1))
return ~0;//NaN
else if(x == (0x1f << 6))
return ~0;//Inf
uint result = packed11ToFloat(x);
return reinterpret_cast<float&>(result);
}
GLM_FUNC_QUALIFIER glm::uint floatTo10bit(float x)
{
if(x == 0.0f)
return 0;
else if(glm::isnan(x))
return ~0;
else if(glm::isinf(x))
return 0x1f << 5;
return float2packed10(reinterpret_cast<uint&>(x));
}
GLM_FUNC_QUALIFIER float packed10bitToFloat(glm::uint x)
{
if(x == 0)
return 0.0f;
else if(x == ((1 << 10) - 1))
return ~0;//NaN
else if(x == (0x1f << 5))
return ~0;//Inf
uint result = packed10ToFloat(x);
return reinterpret_cast<float&>(result);
}
// GLM_FUNC_QUALIFIER glm::uint f11_f11_f10(float x, float y, float z)
// {
// return ((floatTo11bit(x) & ((1 << 11) - 1)) << 0) | ((floatTo11bit(y) & ((1 << 11) - 1)) << 11) | ((floatTo10bit(z) & ((1 << 10) - 1)) << 22);
// }
union u10u10u10u2
{
struct
{
uint x : 10;
uint y : 10;
uint z : 10;
uint w : 2;
} data;
uint32 pack;
};
union i10i10i10i2
{
struct
{
int x : 10;
int y : 10;
int z : 10;
int w : 2;
} data;
uint32 pack;
};
}//namespace detail
GLM_FUNC_QUALIFIER uint8 packUnorm1x8(float const & v)
{
return static_cast<uint8>(round(clamp(v, 0.0f, 1.0f) * 255.0f));
}
GLM_FUNC_QUALIFIER float unpackUnorm1x8(uint8 const & p)
{
float Unpack(static_cast<float>(p));
return Unpack * static_cast<float>(0.0039215686274509803921568627451); // 1 / 255
}
GLM_FUNC_QUALIFIER uint16 packUnorm2x8(vec2 const & v)
{
u8vec2 Topack(round(clamp(v, 0.0f, 1.0f) * 255.0f));
uint16* Packed = reinterpret_cast<uint16*>(&Topack);
return *Packed;
}
GLM_FUNC_QUALIFIER vec2 unpackUnorm2x8(uint16 const & p)
{
u8vec2* Unpacked = reinterpret_cast<u8vec2*>(const_cast<uint16*>(&p));
return vec2(*Unpacked) * float(0.0039215686274509803921568627451); // 1 / 255
}
GLM_FUNC_QUALIFIER uint8 packSnorm1x8(float const & v)
{
int8 Topack(static_cast<int8>(round(clamp(v ,-1.0f, 1.0f) * 127.0f)));
uint8* Packed = reinterpret_cast<uint8*>(&Topack);
return *Packed;
}
GLM_FUNC_QUALIFIER float unpackSnorm1x8(uint8 const & p)
{
float Unpack(static_cast<float>(*const_cast<uint8*>(&p)));
return clamp(
Unpack * 0.00787401574803149606299212598425f, // 1.0f / 127.0f
-1.0f, 1.0f);
}
GLM_FUNC_QUALIFIER uint16 packSnorm2x8(vec2 const & v)
{
i8vec2 Topack(round(clamp(v ,-1.0f, 1.0f) * 127.0f));
uint16* Packed = reinterpret_cast<uint16*>(&Topack);
return *Packed;
}
GLM_FUNC_QUALIFIER vec2 unpackSnorm2x8(uint16 const & p)
{
i8vec2* Unpack = reinterpret_cast<i8vec2*>(const_cast<uint16*>(&p));
return clamp(
vec2(*Unpack) * 0.00787401574803149606299212598425f, // 1.0f / 127.0f
-1.0f, 1.0f);
}
GLM_FUNC_QUALIFIER uint16 packUnorm1x16(float const & s)
{
return static_cast<uint16>(round(clamp(s, 0.0f, 1.0f) * 65535.0f));
}
GLM_FUNC_QUALIFIER float unpackUnorm1x16(uint16 const & p)
{
float Unpack = static_cast<float>(*const_cast<uint16*>(&p));
return Unpack * 1.5259021896696421759365224689097e-5f; // 1.0 / 65535.0
}
GLM_FUNC_QUALIFIER uint64 packUnorm4x16(vec4 const & v)
{
u16vec4 Topack(round(clamp(v , 0.0f, 1.0f) * 65535.0f));
uint64* Packed = reinterpret_cast<uint64*>(&Topack);
return *Packed;
}
GLM_FUNC_QUALIFIER vec4 unpackUnorm4x16(uint64 const & p)
{
u16vec4* Unpack = reinterpret_cast<u16vec4*>(const_cast<uint64*>(&p));
return vec4(*Unpack) * 1.5259021896696421759365224689097e-5f; // 1.0 / 65535.0
}
GLM_FUNC_QUALIFIER uint16 packSnorm1x16(float const & v)
{
int16 Topack = static_cast<int16>(round(clamp(v ,-1.0f, 1.0f) * 32767.0f));
uint16* Packed = reinterpret_cast<uint16*>(&Topack);
return *Packed;
}
GLM_FUNC_QUALIFIER float unpackSnorm1x16(uint16 const & p)
{
float Unpack = static_cast<float>(*const_cast<uint16*>(&p));
return clamp(
Unpack * 3.0518509475997192297128208258309e-5f, //1.0f / 32767.0f,
-1.0f, 1.0f);
}
GLM_FUNC_QUALIFIER uint64 packSnorm4x16(vec4 const & v)
{
i16vec4 Topack = static_cast<i16vec4>(round(clamp(v ,-1.0f, 1.0f) * 32767.0f));
uint64* Packed = reinterpret_cast<uint64*>(&Topack);
return *Packed;
}
GLM_FUNC_QUALIFIER vec4 unpackSnorm4x16(uint64 const & p)
{
i16vec4* Unpack(reinterpret_cast<i16vec4*>(const_cast<uint64*>(&p)));
return clamp(
vec4(*Unpack) * 3.0518509475997192297128208258309e-5f, //1.0f / 32767.0f,
-1.0f, 1.0f);
}
GLM_FUNC_QUALIFIER uint16 packHalf1x16(float const & v)
{
int16 Topack = detail::toFloat16(v);
uint16* Packed = reinterpret_cast<uint16*>(&Topack);
return *Packed;
}
GLM_FUNC_QUALIFIER float unpackHalf1x16(uint16 const & v)
{
int16* Unpack = reinterpret_cast<int16*>(const_cast<uint16*>(&v));
return detail::toFloat32(*Unpack);
}
GLM_FUNC_QUALIFIER uint64 packHalf4x16(glm::vec4 const & v)
{
i16vec4 Unpack(
detail::toFloat16(v.x),
detail::toFloat16(v.y),
detail::toFloat16(v.z),
detail::toFloat16(v.w));
uint64* Packed = reinterpret_cast<uint64*>(&Unpack);
return *Packed;
}
GLM_FUNC_QUALIFIER glm::vec4 unpackHalf4x16(uint64 const & v)
{
i16vec4* p = reinterpret_cast<i16vec4*>(const_cast<uint64*>(&v));
i16vec4 Unpack(*p);
return vec4(
detail::toFloat32(Unpack.x),
detail::toFloat32(Unpack.y),
detail::toFloat32(Unpack.z),
detail::toFloat32(Unpack.w));
}
GLM_FUNC_QUALIFIER uint32 packI3x10_1x2(ivec4 const & v)
{
detail::i10i10i10i2 Result;
Result.data.x = v.x;
Result.data.y = v.y;
Result.data.z = v.z;
Result.data.w = v.w;
return Result.pack;
}
GLM_FUNC_QUALIFIER ivec4 unpackI3x10_1x2(uint32 const & v)
{
detail::i10i10i10i2 Unpack;
Unpack.pack = v;
return ivec4(
Unpack.data.x,
Unpack.data.y,
Unpack.data.z,
Unpack.data.w);
}
GLM_FUNC_QUALIFIER uint32 packU3x10_1x2(uvec4 const & v)
{
detail::u10u10u10u2 Result;
Result.data.x = v.x;
Result.data.y = v.y;
Result.data.z = v.z;
Result.data.w = v.w;
return Result.pack;
}
GLM_FUNC_QUALIFIER uvec4 unpackU3x10_1x2(uint32 const & v)
{
detail::u10u10u10u2 Unpack;
Unpack.pack = v;
return uvec4(
Unpack.data.x,
Unpack.data.y,
Unpack.data.z,
Unpack.data.w);
}
GLM_FUNC_QUALIFIER uint32 packSnorm3x10_1x2(vec4 const & v)
{
detail::i10i10i10i2 Result;
Result.data.x = int(round(clamp(v.x,-1.0f, 1.0f) * 511.f));
Result.data.y = int(round(clamp(v.y,-1.0f, 1.0f) * 511.f));
Result.data.z = int(round(clamp(v.z,-1.0f, 1.0f) * 511.f));
Result.data.w = int(round(clamp(v.w,-1.0f, 1.0f) * 1.f));
return Result.pack;
}
GLM_FUNC_QUALIFIER vec4 unpackSnorm3x10_1x2(uint32 const & v)
{
detail::i10i10i10i2 Unpack;
Unpack.pack = v;
vec4 Result;
Result.x = clamp(float(Unpack.data.x) / 511.f, -1.0f, 1.0f);
Result.y = clamp(float(Unpack.data.y) / 511.f, -1.0f, 1.0f);
Result.z = clamp(float(Unpack.data.z) / 511.f, -1.0f, 1.0f);
Result.w = clamp(float(Unpack.data.w) / 1.f, -1.0f, 1.0f);
return Result;
}
GLM_FUNC_QUALIFIER uint32 packUnorm3x10_1x2(vec4 const & v)
{
detail::i10i10i10i2 Result;
Result.data.x = int(round(clamp(v.x, 0.0f, 1.0f) * 1023.f));
Result.data.y = int(round(clamp(v.y, 0.0f, 1.0f) * 1023.f));
Result.data.z = int(round(clamp(v.z, 0.0f, 1.0f) * 1023.f));
Result.data.w = int(round(clamp(v.w, 0.0f, 1.0f) * 3.f));
return Result.pack;
}
GLM_FUNC_QUALIFIER vec4 unpackUnorm3x10_1x2(uint32 const & v)
{
detail::i10i10i10i2 Unpack;
Unpack.pack = v;
vec4 Result;
Result.x = float(Unpack.data.x) / 1023.f;
Result.y = float(Unpack.data.y) / 1023.f;
Result.z = float(Unpack.data.z) / 1023.f;
Result.w = float(Unpack.data.w) / 3.f;
return Result;
}
GLM_FUNC_QUALIFIER uint32 packF2x11_1x10(vec3 const & v)
{
return
((detail::floatTo11bit(v.x) & ((1 << 11) - 1)) << 0) |
((detail::floatTo11bit(v.y) & ((1 << 11) - 1)) << 11) |
((detail::floatTo10bit(v.z) & ((1 << 10) - 1)) << 22);
}
GLM_FUNC_QUALIFIER vec3 unpackF2x11_1x10(uint32 const & v)
{
return vec3(
detail::packed11bitToFloat(v >> 0),
detail::packed11bitToFloat(v >> 11),
detail::packed10bitToFloat(v >> 22));
}
}//namespace glm