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+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2015 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.
+///
+/// Restrictions:
+/// By making use of the Software for military purposes, you choose to make
+/// a Bunny unhappy.
+///
+/// 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"
+#include <cstring>
+
+namespace glm{
+namespace detail
+{
+ GLM_FUNC_QUALIFIER glm::uint16 float2half(glm::uint32 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 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 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 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 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 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 0u;
+ else if(glm::isnan(x))
+ return ~0u;
+ else if(glm::isinf(x))
+ return 0x1Fu << 6u;
+
+# if(GLM_COMPILER & GLM_COMPILER_GCC || GLM_COMPILER & (GLM_COMPILER_APPLE_CLANG | GLM_COMPILER_LLVM))
+ uint Pack = 0u;
+ memcpy(&Pack, &x, sizeof(Pack));
+# else
+ uint Pack = reinterpret_cast<uint&>(x);
+# endif
+
+ return float2packed11(Pack);
+ }
+
+ 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);
+
+# if(GLM_COMPILER & GLM_COMPILER_GCC || GLM_COMPILER & (GLM_COMPILER_APPLE_CLANG | GLM_COMPILER_LLVM))
+ float Temp = 0;
+ memcpy(&Temp, &Result, sizeof(Temp));
+ return Temp;
+# else
+ return reinterpret_cast<float&>(Result);
+# endif
+ }
+
+ GLM_FUNC_QUALIFIER glm::uint floatTo10bit(float x)
+ {
+ if(x == 0.0f)
+ return 0u;
+ else if(glm::isnan(x))
+ return ~0u;
+ else if(glm::isinf(x))
+ return 0x1Fu << 5u;
+
+# if(GLM_COMPILER & GLM_COMPILER_GCC || GLM_COMPILER & (GLM_COMPILER_APPLE_CLANG | GLM_COMPILER_LLVM))
+ uint Pack = 0;
+ memcpy(&Pack, &x, sizeof(Pack));
+# else
+ uint Pack = reinterpret_cast<uint&>(x);
+# endif
+
+ return float2packed10(Pack);
+ }
+
+ 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);
+
+# if(GLM_COMPILER & GLM_COMPILER_GCC || GLM_COMPILER & (GLM_COMPILER_APPLE_CLANG | GLM_COMPILER_LLVM))
+ float Temp = 0;
+ memcpy(&Temp, &Result, sizeof(Temp));
+ return Temp;
+# else
+ return reinterpret_cast<float&>(Result);
+# endif
+ }
+
+// 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 v)
+ {
+ return static_cast<uint8>(round(clamp(v, 0.0f, 1.0f) * 255.0f));
+ }
+
+ GLM_FUNC_QUALIFIER float unpackUnorm1x8(uint8 p)
+ {
+ float const Unpack(p);
+ return Unpack * static_cast<float>(0.0039215686274509803921568627451); // 1 / 255
+ }
+
+ GLM_FUNC_QUALIFIER uint16 packUnorm2x8(vec2 const & v)
+ {
+ u8vec2 const Topack(round(clamp(v, 0.0f, 1.0f) * 255.0f));
+ return reinterpret_cast<uint16 const &>(Topack);
+ }
+
+ GLM_FUNC_QUALIFIER vec2 unpackUnorm2x8(uint16 p)
+ {
+ vec2 const Unpack(reinterpret_cast<u8vec2 const &>(p));
+ return Unpack * float(0.0039215686274509803921568627451); // 1 / 255
+ }
+
+ GLM_FUNC_QUALIFIER uint8 packSnorm1x8(float v)
+ {
+ int8 const Topack(static_cast<int8>(round(clamp(v ,-1.0f, 1.0f) * 127.0f)));
+ return reinterpret_cast<uint8 const &>(Topack);
+ }
+
+ GLM_FUNC_QUALIFIER float unpackSnorm1x8(uint8 p)
+ {
+ float const Unpack(reinterpret_cast<int8 const &>(p));
+ return clamp(
+ Unpack * 0.00787401574803149606299212598425f, // 1.0f / 127.0f
+ -1.0f, 1.0f);
+ }
+
+ GLM_FUNC_QUALIFIER uint16 packSnorm2x8(vec2 const & v)
+ {
+ i8vec2 const Topack(round(clamp(v, -1.0f, 1.0f) * 127.0f));
+ return reinterpret_cast<uint16 const &>(Topack);
+ }
+
+ GLM_FUNC_QUALIFIER vec2 unpackSnorm2x8(uint16 p)
+ {
+ vec2 const Unpack(reinterpret_cast<i8vec2 const &>(p));
+ return clamp(
+ Unpack * 0.00787401574803149606299212598425f, // 1.0f / 127.0f
+ -1.0f, 1.0f);
+ }
+
+ GLM_FUNC_QUALIFIER uint16 packUnorm1x16(float s)
+ {
+ return static_cast<uint16>(round(clamp(s, 0.0f, 1.0f) * 65535.0f));
+ }
+
+ GLM_FUNC_QUALIFIER float unpackUnorm1x16(uint16 p)
+ {
+ float const Unpack(p);
+ return Unpack * 1.5259021896696421759365224689097e-5f; // 1.0 / 65535.0
+ }
+
+ GLM_FUNC_QUALIFIER uint64 packUnorm4x16(vec4 const & v)
+ {
+ u16vec4 const Topack(round(clamp(v , 0.0f, 1.0f) * 65535.0f));
+ return reinterpret_cast<uint64 const &>(Topack);
+ }
+
+ GLM_FUNC_QUALIFIER vec4 unpackUnorm4x16(uint64 p)
+ {
+ vec4 const Unpack(reinterpret_cast<u16vec4 const &>(p));
+ return Unpack * 1.5259021896696421759365224689097e-5f; // 1.0 / 65535.0
+ }
+
+ GLM_FUNC_QUALIFIER uint16 packSnorm1x16(float v)
+ {
+ int16 const Topack = static_cast<int16>(round(clamp(v ,-1.0f, 1.0f) * 32767.0f));
+ return reinterpret_cast<uint16 const &>(Topack);
+ }
+
+ GLM_FUNC_QUALIFIER float unpackSnorm1x16(uint16 p)
+ {
+ float const Unpack(reinterpret_cast<int16 const &>(p));
+ return clamp(
+ Unpack * 3.0518509475997192297128208258309e-5f, //1.0f / 32767.0f,
+ -1.0f, 1.0f);
+ }
+
+ GLM_FUNC_QUALIFIER uint64 packSnorm4x16(vec4 const & v)
+ {
+ i16vec4 const Topack(round(clamp(v ,-1.0f, 1.0f) * 32767.0f));
+ return reinterpret_cast<uint64 const &>(Topack);
+ }
+
+ GLM_FUNC_QUALIFIER vec4 unpackSnorm4x16(uint64 p)
+ {
+ vec4 const Unpack(reinterpret_cast<i16vec4 const &>(p));
+ return clamp(
+ Unpack * 3.0518509475997192297128208258309e-5f, //1.0f / 32767.0f,
+ -1.0f, 1.0f);
+ }
+
+ GLM_FUNC_QUALIFIER uint16 packHalf1x16(float v)
+ {
+ int16 const Topack(detail::toFloat16(v));
+ return reinterpret_cast<uint16 const &>(Topack);
+ }
+
+ GLM_FUNC_QUALIFIER float unpackHalf1x16(uint16 v)
+ {
+ return detail::toFloat32(reinterpret_cast<int16 const &>(v));
+ }
+
+ 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));
+
+ return reinterpret_cast<uint64 const &>(Unpack);
+ }
+
+ GLM_FUNC_QUALIFIER glm::vec4 unpackHalf4x16(uint64 v)
+ {
+ i16vec4 Unpack(reinterpret_cast<i16vec4 const &>(v));
+
+ 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 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 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 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 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 v)
+ {
+ return vec3(
+ detail::packed11bitToFloat(v >> 0),
+ detail::packed11bitToFloat(v >> 11),
+ detail::packed10bitToFloat(v >> 22));
+ }
+
+}//namespace glm
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