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Robert 2020-09-04 21:13:22 +02:00
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/// @ref gtc_bitfield
/// @file glm/gtc/bitfield.hpp
///
/// @see core (dependence)
/// @see gtc_bitfield (dependence)
///
/// @defgroup gtc_bitfield GLM_GTC_bitfield
/// @ingroup gtc
///
/// Include <glm/gtc/bitfield.hpp> to use the features of this extension.
///
/// Allow to perform bit operations on integer values
#include "../detail/setup.hpp"
#pragma once
// Dependencies
#include "../ext/scalar_int_sized.hpp"
#include "../ext/scalar_uint_sized.hpp"
#include "../detail/qualifier.hpp"
#include "../detail/_vectorize.hpp"
#include "type_precision.hpp"
#include <limits>
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_bitfield extension included")
#endif
namespace glm
{
/// @addtogroup gtc_bitfield
/// @{
/// Build a mask of 'count' bits
///
/// @see gtc_bitfield
template<typename genIUType>
GLM_FUNC_DECL genIUType mask(genIUType Bits);
/// Build a mask of 'count' bits
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Signed and unsigned integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @see gtc_bitfield
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> mask(vec<L, T, Q> const& v);
/// Rotate all bits to the right. All the bits dropped in the right side are inserted back on the left side.
///
/// @see gtc_bitfield
template<typename genIUType>
GLM_FUNC_DECL genIUType bitfieldRotateRight(genIUType In, int Shift);
/// Rotate all bits to the right. All the bits dropped in the right side are inserted back on the left side.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Signed and unsigned integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @see gtc_bitfield
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> bitfieldRotateRight(vec<L, T, Q> const& In, int Shift);
/// Rotate all bits to the left. All the bits dropped in the left side are inserted back on the right side.
///
/// @see gtc_bitfield
template<typename genIUType>
GLM_FUNC_DECL genIUType bitfieldRotateLeft(genIUType In, int Shift);
/// Rotate all bits to the left. All the bits dropped in the left side are inserted back on the right side.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Signed and unsigned integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @see gtc_bitfield
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> bitfieldRotateLeft(vec<L, T, Q> const& In, int Shift);
/// Set to 1 a range of bits.
///
/// @see gtc_bitfield
template<typename genIUType>
GLM_FUNC_DECL genIUType bitfieldFillOne(genIUType Value, int FirstBit, int BitCount);
/// Set to 1 a range of bits.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Signed and unsigned integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @see gtc_bitfield
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> bitfieldFillOne(vec<L, T, Q> const& Value, int FirstBit, int BitCount);
/// Set to 0 a range of bits.
///
/// @see gtc_bitfield
template<typename genIUType>
GLM_FUNC_DECL genIUType bitfieldFillZero(genIUType Value, int FirstBit, int BitCount);
/// Set to 0 a range of bits.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Signed and unsigned integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @see gtc_bitfield
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> bitfieldFillZero(vec<L, T, Q> const& Value, int FirstBit, int BitCount);
/// Interleaves the bits of x and y.
/// The first bit is the first bit of x followed by the first bit of y.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL int16 bitfieldInterleave(int8 x, int8 y);
/// Interleaves the bits of x and y.
/// The first bit is the first bit of x followed by the first bit of y.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint16 bitfieldInterleave(uint8 x, uint8 y);
/// Interleaves the bits of x and y.
/// The first bit is the first bit of v.x followed by the first bit of v.y.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint16 bitfieldInterleave(u8vec2 const& v);
/// Deinterleaves the bits of x.
///
/// @see gtc_bitfield
GLM_FUNC_DECL glm::u8vec2 bitfieldDeinterleave(glm::uint16 x);
/// Interleaves the bits of x and y.
/// The first bit is the first bit of x followed by the first bit of y.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL int32 bitfieldInterleave(int16 x, int16 y);
/// Interleaves the bits of x and y.
/// The first bit is the first bit of x followed by the first bit of y.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint32 bitfieldInterleave(uint16 x, uint16 y);
/// Interleaves the bits of x and y.
/// The first bit is the first bit of v.x followed by the first bit of v.y.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint32 bitfieldInterleave(u16vec2 const& v);
/// Deinterleaves the bits of x.
///
/// @see gtc_bitfield
GLM_FUNC_DECL glm::u16vec2 bitfieldDeinterleave(glm::uint32 x);
/// Interleaves the bits of x and y.
/// The first bit is the first bit of x followed by the first bit of y.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL int64 bitfieldInterleave(int32 x, int32 y);
/// Interleaves the bits of x and y.
/// The first bit is the first bit of x followed by the first bit of y.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint64 bitfieldInterleave(uint32 x, uint32 y);
/// Interleaves the bits of x and y.
/// The first bit is the first bit of v.x followed by the first bit of v.y.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint64 bitfieldInterleave(u32vec2 const& v);
/// Deinterleaves the bits of x.
///
/// @see gtc_bitfield
GLM_FUNC_DECL glm::u32vec2 bitfieldDeinterleave(glm::uint64 x);
/// Interleaves the bits of x, y and z.
/// The first bit is the first bit of x followed by the first bit of y and the first bit of z.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL int32 bitfieldInterleave(int8 x, int8 y, int8 z);
/// Interleaves the bits of x, y and z.
/// The first bit is the first bit of x followed by the first bit of y and the first bit of z.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint32 bitfieldInterleave(uint8 x, uint8 y, uint8 z);
/// Interleaves the bits of x, y and z.
/// The first bit is the first bit of x followed by the first bit of y and the first bit of z.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL int64 bitfieldInterleave(int16 x, int16 y, int16 z);
/// Interleaves the bits of x, y and z.
/// The first bit is the first bit of x followed by the first bit of y and the first bit of z.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint64 bitfieldInterleave(uint16 x, uint16 y, uint16 z);
/// Interleaves the bits of x, y and z.
/// The first bit is the first bit of x followed by the first bit of y and the first bit of z.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL int64 bitfieldInterleave(int32 x, int32 y, int32 z);
/// Interleaves the bits of x, y and z.
/// The first bit is the first bit of x followed by the first bit of y and the first bit of z.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint64 bitfieldInterleave(uint32 x, uint32 y, uint32 z);
/// Interleaves the bits of x, y, z and w.
/// The first bit is the first bit of x followed by the first bit of y, the first bit of z and finally the first bit of w.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL int32 bitfieldInterleave(int8 x, int8 y, int8 z, int8 w);
/// Interleaves the bits of x, y, z and w.
/// The first bit is the first bit of x followed by the first bit of y, the first bit of z and finally the first bit of w.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint32 bitfieldInterleave(uint8 x, uint8 y, uint8 z, uint8 w);
/// Interleaves the bits of x, y, z and w.
/// The first bit is the first bit of x followed by the first bit of y, the first bit of z and finally the first bit of w.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL int64 bitfieldInterleave(int16 x, int16 y, int16 z, int16 w);
/// Interleaves the bits of x, y, z and w.
/// The first bit is the first bit of x followed by the first bit of y, the first bit of z and finally the first bit of w.
/// The other bits are interleaved following the previous sequence.
///
/// @see gtc_bitfield
GLM_FUNC_DECL uint64 bitfieldInterleave(uint16 x, uint16 y, uint16 z, uint16 w);
/// @}
} //namespace glm
#include "bitfield.inl"

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/// @ref gtc_bitfield
#include "../simd/integer.h"
namespace glm{
namespace detail
{
template<typename PARAM, typename RET>
GLM_FUNC_DECL RET bitfieldInterleave(PARAM x, PARAM y);
template<typename PARAM, typename RET>
GLM_FUNC_DECL RET bitfieldInterleave(PARAM x, PARAM y, PARAM z);
template<typename PARAM, typename RET>
GLM_FUNC_DECL RET bitfieldInterleave(PARAM x, PARAM y, PARAM z, PARAM w);
template<>
GLM_FUNC_QUALIFIER glm::uint16 bitfieldInterleave(glm::uint8 x, glm::uint8 y)
{
glm::uint16 REG1(x);
glm::uint16 REG2(y);
REG1 = ((REG1 << 4) | REG1) & static_cast<glm::uint16>(0x0F0F);
REG2 = ((REG2 << 4) | REG2) & static_cast<glm::uint16>(0x0F0F);
REG1 = ((REG1 << 2) | REG1) & static_cast<glm::uint16>(0x3333);
REG2 = ((REG2 << 2) | REG2) & static_cast<glm::uint16>(0x3333);
REG1 = ((REG1 << 1) | REG1) & static_cast<glm::uint16>(0x5555);
REG2 = ((REG2 << 1) | REG2) & static_cast<glm::uint16>(0x5555);
return REG1 | static_cast<glm::uint16>(REG2 << 1);
}
template<>
GLM_FUNC_QUALIFIER glm::uint32 bitfieldInterleave(glm::uint16 x, glm::uint16 y)
{
glm::uint32 REG1(x);
glm::uint32 REG2(y);
REG1 = ((REG1 << 8) | REG1) & static_cast<glm::uint32>(0x00FF00FF);
REG2 = ((REG2 << 8) | REG2) & static_cast<glm::uint32>(0x00FF00FF);
REG1 = ((REG1 << 4) | REG1) & static_cast<glm::uint32>(0x0F0F0F0F);
REG2 = ((REG2 << 4) | REG2) & static_cast<glm::uint32>(0x0F0F0F0F);
REG1 = ((REG1 << 2) | REG1) & static_cast<glm::uint32>(0x33333333);
REG2 = ((REG2 << 2) | REG2) & static_cast<glm::uint32>(0x33333333);
REG1 = ((REG1 << 1) | REG1) & static_cast<glm::uint32>(0x55555555);
REG2 = ((REG2 << 1) | REG2) & static_cast<glm::uint32>(0x55555555);
return REG1 | (REG2 << 1);
}
template<>
GLM_FUNC_QUALIFIER glm::uint64 bitfieldInterleave(glm::uint32 x, glm::uint32 y)
{
glm::uint64 REG1(x);
glm::uint64 REG2(y);
REG1 = ((REG1 << 16) | REG1) & static_cast<glm::uint64>(0x0000FFFF0000FFFFull);
REG2 = ((REG2 << 16) | REG2) & static_cast<glm::uint64>(0x0000FFFF0000FFFFull);
REG1 = ((REG1 << 8) | REG1) & static_cast<glm::uint64>(0x00FF00FF00FF00FFull);
REG2 = ((REG2 << 8) | REG2) & static_cast<glm::uint64>(0x00FF00FF00FF00FFull);
REG1 = ((REG1 << 4) | REG1) & static_cast<glm::uint64>(0x0F0F0F0F0F0F0F0Full);
REG2 = ((REG2 << 4) | REG2) & static_cast<glm::uint64>(0x0F0F0F0F0F0F0F0Full);
REG1 = ((REG1 << 2) | REG1) & static_cast<glm::uint64>(0x3333333333333333ull);
REG2 = ((REG2 << 2) | REG2) & static_cast<glm::uint64>(0x3333333333333333ull);
REG1 = ((REG1 << 1) | REG1) & static_cast<glm::uint64>(0x5555555555555555ull);
REG2 = ((REG2 << 1) | REG2) & static_cast<glm::uint64>(0x5555555555555555ull);
return REG1 | (REG2 << 1);
}
template<>
GLM_FUNC_QUALIFIER glm::uint32 bitfieldInterleave(glm::uint8 x, glm::uint8 y, glm::uint8 z)
{
glm::uint32 REG1(x);
glm::uint32 REG2(y);
glm::uint32 REG3(z);
REG1 = ((REG1 << 16) | REG1) & static_cast<glm::uint32>(0xFF0000FFu);
REG2 = ((REG2 << 16) | REG2) & static_cast<glm::uint32>(0xFF0000FFu);
REG3 = ((REG3 << 16) | REG3) & static_cast<glm::uint32>(0xFF0000FFu);
REG1 = ((REG1 << 8) | REG1) & static_cast<glm::uint32>(0x0F00F00Fu);
REG2 = ((REG2 << 8) | REG2) & static_cast<glm::uint32>(0x0F00F00Fu);
REG3 = ((REG3 << 8) | REG3) & static_cast<glm::uint32>(0x0F00F00Fu);
REG1 = ((REG1 << 4) | REG1) & static_cast<glm::uint32>(0xC30C30C3u);
REG2 = ((REG2 << 4) | REG2) & static_cast<glm::uint32>(0xC30C30C3u);
REG3 = ((REG3 << 4) | REG3) & static_cast<glm::uint32>(0xC30C30C3u);
REG1 = ((REG1 << 2) | REG1) & static_cast<glm::uint32>(0x49249249u);
REG2 = ((REG2 << 2) | REG2) & static_cast<glm::uint32>(0x49249249u);
REG3 = ((REG3 << 2) | REG3) & static_cast<glm::uint32>(0x49249249u);
return REG1 | (REG2 << 1) | (REG3 << 2);
}
template<>
GLM_FUNC_QUALIFIER glm::uint64 bitfieldInterleave(glm::uint16 x, glm::uint16 y, glm::uint16 z)
{
glm::uint64 REG1(x);
glm::uint64 REG2(y);
glm::uint64 REG3(z);
REG1 = ((REG1 << 32) | REG1) & static_cast<glm::uint64>(0xFFFF00000000FFFFull);
REG2 = ((REG2 << 32) | REG2) & static_cast<glm::uint64>(0xFFFF00000000FFFFull);
REG3 = ((REG3 << 32) | REG3) & static_cast<glm::uint64>(0xFFFF00000000FFFFull);
REG1 = ((REG1 << 16) | REG1) & static_cast<glm::uint64>(0x00FF0000FF0000FFull);
REG2 = ((REG2 << 16) | REG2) & static_cast<glm::uint64>(0x00FF0000FF0000FFull);
REG3 = ((REG3 << 16) | REG3) & static_cast<glm::uint64>(0x00FF0000FF0000FFull);
REG1 = ((REG1 << 8) | REG1) & static_cast<glm::uint64>(0xF00F00F00F00F00Full);
REG2 = ((REG2 << 8) | REG2) & static_cast<glm::uint64>(0xF00F00F00F00F00Full);
REG3 = ((REG3 << 8) | REG3) & static_cast<glm::uint64>(0xF00F00F00F00F00Full);
REG1 = ((REG1 << 4) | REG1) & static_cast<glm::uint64>(0x30C30C30C30C30C3ull);
REG2 = ((REG2 << 4) | REG2) & static_cast<glm::uint64>(0x30C30C30C30C30C3ull);
REG3 = ((REG3 << 4) | REG3) & static_cast<glm::uint64>(0x30C30C30C30C30C3ull);
REG1 = ((REG1 << 2) | REG1) & static_cast<glm::uint64>(0x9249249249249249ull);
REG2 = ((REG2 << 2) | REG2) & static_cast<glm::uint64>(0x9249249249249249ull);
REG3 = ((REG3 << 2) | REG3) & static_cast<glm::uint64>(0x9249249249249249ull);
return REG1 | (REG2 << 1) | (REG3 << 2);
}
template<>
GLM_FUNC_QUALIFIER glm::uint64 bitfieldInterleave(glm::uint32 x, glm::uint32 y, glm::uint32 z)
{
glm::uint64 REG1(x);
glm::uint64 REG2(y);
glm::uint64 REG3(z);
REG1 = ((REG1 << 32) | REG1) & static_cast<glm::uint64>(0xFFFF00000000FFFFull);
REG2 = ((REG2 << 32) | REG2) & static_cast<glm::uint64>(0xFFFF00000000FFFFull);
REG3 = ((REG3 << 32) | REG3) & static_cast<glm::uint64>(0xFFFF00000000FFFFull);
REG1 = ((REG1 << 16) | REG1) & static_cast<glm::uint64>(0x00FF0000FF0000FFull);
REG2 = ((REG2 << 16) | REG2) & static_cast<glm::uint64>(0x00FF0000FF0000FFull);
REG3 = ((REG3 << 16) | REG3) & static_cast<glm::uint64>(0x00FF0000FF0000FFull);
REG1 = ((REG1 << 8) | REG1) & static_cast<glm::uint64>(0xF00F00F00F00F00Full);
REG2 = ((REG2 << 8) | REG2) & static_cast<glm::uint64>(0xF00F00F00F00F00Full);
REG3 = ((REG3 << 8) | REG3) & static_cast<glm::uint64>(0xF00F00F00F00F00Full);
REG1 = ((REG1 << 4) | REG1) & static_cast<glm::uint64>(0x30C30C30C30C30C3ull);
REG2 = ((REG2 << 4) | REG2) & static_cast<glm::uint64>(0x30C30C30C30C30C3ull);
REG3 = ((REG3 << 4) | REG3) & static_cast<glm::uint64>(0x30C30C30C30C30C3ull);
REG1 = ((REG1 << 2) | REG1) & static_cast<glm::uint64>(0x9249249249249249ull);
REG2 = ((REG2 << 2) | REG2) & static_cast<glm::uint64>(0x9249249249249249ull);
REG3 = ((REG3 << 2) | REG3) & static_cast<glm::uint64>(0x9249249249249249ull);
return REG1 | (REG2 << 1) | (REG3 << 2);
}
template<>
GLM_FUNC_QUALIFIER glm::uint32 bitfieldInterleave(glm::uint8 x, glm::uint8 y, glm::uint8 z, glm::uint8 w)
{
glm::uint32 REG1(x);
glm::uint32 REG2(y);
glm::uint32 REG3(z);
glm::uint32 REG4(w);
REG1 = ((REG1 << 12) | REG1) & static_cast<glm::uint32>(0x000F000Fu);
REG2 = ((REG2 << 12) | REG2) & static_cast<glm::uint32>(0x000F000Fu);
REG3 = ((REG3 << 12) | REG3) & static_cast<glm::uint32>(0x000F000Fu);
REG4 = ((REG4 << 12) | REG4) & static_cast<glm::uint32>(0x000F000Fu);
REG1 = ((REG1 << 6) | REG1) & static_cast<glm::uint32>(0x03030303u);
REG2 = ((REG2 << 6) | REG2) & static_cast<glm::uint32>(0x03030303u);
REG3 = ((REG3 << 6) | REG3) & static_cast<glm::uint32>(0x03030303u);
REG4 = ((REG4 << 6) | REG4) & static_cast<glm::uint32>(0x03030303u);
REG1 = ((REG1 << 3) | REG1) & static_cast<glm::uint32>(0x11111111u);
REG2 = ((REG2 << 3) | REG2) & static_cast<glm::uint32>(0x11111111u);
REG3 = ((REG3 << 3) | REG3) & static_cast<glm::uint32>(0x11111111u);
REG4 = ((REG4 << 3) | REG4) & static_cast<glm::uint32>(0x11111111u);
return REG1 | (REG2 << 1) | (REG3 << 2) | (REG4 << 3);
}
template<>
GLM_FUNC_QUALIFIER glm::uint64 bitfieldInterleave(glm::uint16 x, glm::uint16 y, glm::uint16 z, glm::uint16 w)
{
glm::uint64 REG1(x);
glm::uint64 REG2(y);
glm::uint64 REG3(z);
glm::uint64 REG4(w);
REG1 = ((REG1 << 24) | REG1) & static_cast<glm::uint64>(0x000000FF000000FFull);
REG2 = ((REG2 << 24) | REG2) & static_cast<glm::uint64>(0x000000FF000000FFull);
REG3 = ((REG3 << 24) | REG3) & static_cast<glm::uint64>(0x000000FF000000FFull);
REG4 = ((REG4 << 24) | REG4) & static_cast<glm::uint64>(0x000000FF000000FFull);
REG1 = ((REG1 << 12) | REG1) & static_cast<glm::uint64>(0x000F000F000F000Full);
REG2 = ((REG2 << 12) | REG2) & static_cast<glm::uint64>(0x000F000F000F000Full);
REG3 = ((REG3 << 12) | REG3) & static_cast<glm::uint64>(0x000F000F000F000Full);
REG4 = ((REG4 << 12) | REG4) & static_cast<glm::uint64>(0x000F000F000F000Full);
REG1 = ((REG1 << 6) | REG1) & static_cast<glm::uint64>(0x0303030303030303ull);
REG2 = ((REG2 << 6) | REG2) & static_cast<glm::uint64>(0x0303030303030303ull);
REG3 = ((REG3 << 6) | REG3) & static_cast<glm::uint64>(0x0303030303030303ull);
REG4 = ((REG4 << 6) | REG4) & static_cast<glm::uint64>(0x0303030303030303ull);
REG1 = ((REG1 << 3) | REG1) & static_cast<glm::uint64>(0x1111111111111111ull);
REG2 = ((REG2 << 3) | REG2) & static_cast<glm::uint64>(0x1111111111111111ull);
REG3 = ((REG3 << 3) | REG3) & static_cast<glm::uint64>(0x1111111111111111ull);
REG4 = ((REG4 << 3) | REG4) & static_cast<glm::uint64>(0x1111111111111111ull);
return REG1 | (REG2 << 1) | (REG3 << 2) | (REG4 << 3);
}
}//namespace detail
template<typename genIUType>
GLM_FUNC_QUALIFIER genIUType mask(genIUType Bits)
{
GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'mask' accepts only integer values");
return Bits >= sizeof(genIUType) * 8 ? ~static_cast<genIUType>(0) : (static_cast<genIUType>(1) << Bits) - static_cast<genIUType>(1);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> mask(vec<L, T, Q> const& v)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'mask' accepts only integer values");
return detail::functor1<vec, L, T, T, Q>::call(mask, v);
}
template<typename genIType>
GLM_FUNC_QUALIFIER genIType bitfieldRotateRight(genIType In, int Shift)
{
GLM_STATIC_ASSERT(std::numeric_limits<genIType>::is_integer, "'bitfieldRotateRight' accepts only integer values");
int const BitSize = static_cast<genIType>(sizeof(genIType) * 8);
return (In << static_cast<genIType>(Shift)) | (In >> static_cast<genIType>(BitSize - Shift));
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> bitfieldRotateRight(vec<L, T, Q> const& In, int Shift)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'bitfieldRotateRight' accepts only integer values");
int const BitSize = static_cast<int>(sizeof(T) * 8);
return (In << static_cast<T>(Shift)) | (In >> static_cast<T>(BitSize - Shift));
}
template<typename genIType>
GLM_FUNC_QUALIFIER genIType bitfieldRotateLeft(genIType In, int Shift)
{
GLM_STATIC_ASSERT(std::numeric_limits<genIType>::is_integer, "'bitfieldRotateLeft' accepts only integer values");
int const BitSize = static_cast<genIType>(sizeof(genIType) * 8);
return (In >> static_cast<genIType>(Shift)) | (In << static_cast<genIType>(BitSize - Shift));
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> bitfieldRotateLeft(vec<L, T, Q> const& In, int Shift)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'bitfieldRotateLeft' accepts only integer values");
int const BitSize = static_cast<int>(sizeof(T) * 8);
return (In >> static_cast<T>(Shift)) | (In << static_cast<T>(BitSize - Shift));
}
template<typename genIUType>
GLM_FUNC_QUALIFIER genIUType bitfieldFillOne(genIUType Value, int FirstBit, int BitCount)
{
return Value | static_cast<genIUType>(mask(BitCount) << FirstBit);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> bitfieldFillOne(vec<L, T, Q> const& Value, int FirstBit, int BitCount)
{
return Value | static_cast<T>(mask(BitCount) << FirstBit);
}
template<typename genIUType>
GLM_FUNC_QUALIFIER genIUType bitfieldFillZero(genIUType Value, int FirstBit, int BitCount)
{
return Value & static_cast<genIUType>(~(mask(BitCount) << FirstBit));
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> bitfieldFillZero(vec<L, T, Q> const& Value, int FirstBit, int BitCount)
{
return Value & static_cast<T>(~(mask(BitCount) << FirstBit));
}
GLM_FUNC_QUALIFIER int16 bitfieldInterleave(int8 x, int8 y)
{
union sign8
{
int8 i;
uint8 u;
} sign_x, sign_y;
union sign16
{
int16 i;
uint16 u;
} result;
sign_x.i = x;
sign_y.i = y;
result.u = bitfieldInterleave(sign_x.u, sign_y.u);
return result.i;
}
GLM_FUNC_QUALIFIER uint16 bitfieldInterleave(uint8 x, uint8 y)
{
return detail::bitfieldInterleave<uint8, uint16>(x, y);
}
GLM_FUNC_QUALIFIER uint16 bitfieldInterleave(u8vec2 const& v)
{
return detail::bitfieldInterleave<uint8, uint16>(v.x, v.y);
}
GLM_FUNC_QUALIFIER u8vec2 bitfieldDeinterleave(glm::uint16 x)
{
uint16 REG1(x);
uint16 REG2(x >>= 1);
REG1 = REG1 & static_cast<uint16>(0x5555);
REG2 = REG2 & static_cast<uint16>(0x5555);
REG1 = ((REG1 >> 1) | REG1) & static_cast<uint16>(0x3333);
REG2 = ((REG2 >> 1) | REG2) & static_cast<uint16>(0x3333);
REG1 = ((REG1 >> 2) | REG1) & static_cast<uint16>(0x0F0F);
REG2 = ((REG2 >> 2) | REG2) & static_cast<uint16>(0x0F0F);
REG1 = ((REG1 >> 4) | REG1) & static_cast<uint16>(0x00FF);
REG2 = ((REG2 >> 4) | REG2) & static_cast<uint16>(0x00FF);
REG1 = ((REG1 >> 8) | REG1) & static_cast<uint16>(0xFFFF);
REG2 = ((REG2 >> 8) | REG2) & static_cast<uint16>(0xFFFF);
return glm::u8vec2(REG1, REG2);
}
GLM_FUNC_QUALIFIER int32 bitfieldInterleave(int16 x, int16 y)
{
union sign16
{
int16 i;
uint16 u;
} sign_x, sign_y;
union sign32
{
int32 i;
uint32 u;
} result;
sign_x.i = x;
sign_y.i = y;
result.u = bitfieldInterleave(sign_x.u, sign_y.u);
return result.i;
}
GLM_FUNC_QUALIFIER uint32 bitfieldInterleave(uint16 x, uint16 y)
{
return detail::bitfieldInterleave<uint16, uint32>(x, y);
}
GLM_FUNC_QUALIFIER glm::uint32 bitfieldInterleave(u16vec2 const& v)
{
return detail::bitfieldInterleave<uint16, uint32>(v.x, v.y);
}
GLM_FUNC_QUALIFIER glm::u16vec2 bitfieldDeinterleave(glm::uint32 x)
{
glm::uint32 REG1(x);
glm::uint32 REG2(x >>= 1);
REG1 = REG1 & static_cast<glm::uint32>(0x55555555);
REG2 = REG2 & static_cast<glm::uint32>(0x55555555);
REG1 = ((REG1 >> 1) | REG1) & static_cast<glm::uint32>(0x33333333);
REG2 = ((REG2 >> 1) | REG2) & static_cast<glm::uint32>(0x33333333);
REG1 = ((REG1 >> 2) | REG1) & static_cast<glm::uint32>(0x0F0F0F0F);
REG2 = ((REG2 >> 2) | REG2) & static_cast<glm::uint32>(0x0F0F0F0F);
REG1 = ((REG1 >> 4) | REG1) & static_cast<glm::uint32>(0x00FF00FF);
REG2 = ((REG2 >> 4) | REG2) & static_cast<glm::uint32>(0x00FF00FF);
REG1 = ((REG1 >> 8) | REG1) & static_cast<glm::uint32>(0x0000FFFF);
REG2 = ((REG2 >> 8) | REG2) & static_cast<glm::uint32>(0x0000FFFF);
return glm::u16vec2(REG1, REG2);
}
GLM_FUNC_QUALIFIER int64 bitfieldInterleave(int32 x, int32 y)
{
union sign32
{
int32 i;
uint32 u;
} sign_x, sign_y;
union sign64
{
int64 i;
uint64 u;
} result;
sign_x.i = x;
sign_y.i = y;
result.u = bitfieldInterleave(sign_x.u, sign_y.u);
return result.i;
}
GLM_FUNC_QUALIFIER uint64 bitfieldInterleave(uint32 x, uint32 y)
{
return detail::bitfieldInterleave<uint32, uint64>(x, y);
}
GLM_FUNC_QUALIFIER glm::uint64 bitfieldInterleave(u32vec2 const& v)
{
return detail::bitfieldInterleave<uint32, uint64>(v.x, v.y);
}
GLM_FUNC_QUALIFIER glm::u32vec2 bitfieldDeinterleave(glm::uint64 x)
{
glm::uint64 REG1(x);
glm::uint64 REG2(x >>= 1);
REG1 = REG1 & static_cast<glm::uint64>(0x5555555555555555ull);
REG2 = REG2 & static_cast<glm::uint64>(0x5555555555555555ull);
REG1 = ((REG1 >> 1) | REG1) & static_cast<glm::uint64>(0x3333333333333333ull);
REG2 = ((REG2 >> 1) | REG2) & static_cast<glm::uint64>(0x3333333333333333ull);
REG1 = ((REG1 >> 2) | REG1) & static_cast<glm::uint64>(0x0F0F0F0F0F0F0F0Full);
REG2 = ((REG2 >> 2) | REG2) & static_cast<glm::uint64>(0x0F0F0F0F0F0F0F0Full);
REG1 = ((REG1 >> 4) | REG1) & static_cast<glm::uint64>(0x00FF00FF00FF00FFull);
REG2 = ((REG2 >> 4) | REG2) & static_cast<glm::uint64>(0x00FF00FF00FF00FFull);
REG1 = ((REG1 >> 8) | REG1) & static_cast<glm::uint64>(0x0000FFFF0000FFFFull);
REG2 = ((REG2 >> 8) | REG2) & static_cast<glm::uint64>(0x0000FFFF0000FFFFull);
REG1 = ((REG1 >> 16) | REG1) & static_cast<glm::uint64>(0x00000000FFFFFFFFull);
REG2 = ((REG2 >> 16) | REG2) & static_cast<glm::uint64>(0x00000000FFFFFFFFull);
return glm::u32vec2(REG1, REG2);
}
GLM_FUNC_QUALIFIER int32 bitfieldInterleave(int8 x, int8 y, int8 z)
{
union sign8
{
int8 i;
uint8 u;
} sign_x, sign_y, sign_z;
union sign32
{
int32 i;
uint32 u;
} result;
sign_x.i = x;
sign_y.i = y;
sign_z.i = z;
result.u = bitfieldInterleave(sign_x.u, sign_y.u, sign_z.u);
return result.i;
}
GLM_FUNC_QUALIFIER uint32 bitfieldInterleave(uint8 x, uint8 y, uint8 z)
{
return detail::bitfieldInterleave<uint8, uint32>(x, y, z);
}
GLM_FUNC_QUALIFIER uint32 bitfieldInterleave(u8vec3 const& v)
{
return detail::bitfieldInterleave<uint8, uint32>(v.x, v.y, v.z);
}
GLM_FUNC_QUALIFIER int64 bitfieldInterleave(int16 x, int16 y, int16 z)
{
union sign16
{
int16 i;
uint16 u;
} sign_x, sign_y, sign_z;
union sign64
{
int64 i;
uint64 u;
} result;
sign_x.i = x;
sign_y.i = y;
sign_z.i = z;
result.u = bitfieldInterleave(sign_x.u, sign_y.u, sign_z.u);
return result.i;
}
GLM_FUNC_QUALIFIER uint64 bitfieldInterleave(uint16 x, uint16 y, uint16 z)
{
return detail::bitfieldInterleave<uint32, uint64>(x, y, z);
}
GLM_FUNC_QUALIFIER uint64 bitfieldInterleave(u16vec3 const& v)
{
return detail::bitfieldInterleave<uint32, uint64>(v.x, v.y, v.z);
}
GLM_FUNC_QUALIFIER int64 bitfieldInterleave(int32 x, int32 y, int32 z)
{
union sign16
{
int32 i;
uint32 u;
} sign_x, sign_y, sign_z;
union sign64
{
int64 i;
uint64 u;
} result;
sign_x.i = x;
sign_y.i = y;
sign_z.i = z;
result.u = bitfieldInterleave(sign_x.u, sign_y.u, sign_z.u);
return result.i;
}
GLM_FUNC_QUALIFIER uint64 bitfieldInterleave(uint32 x, uint32 y, uint32 z)
{
return detail::bitfieldInterleave<uint32, uint64>(x, y, z);
}
GLM_FUNC_QUALIFIER uint64 bitfieldInterleave(u32vec3 const& v)
{
return detail::bitfieldInterleave<uint32, uint64>(v.x, v.y, v.z);
}
GLM_FUNC_QUALIFIER int32 bitfieldInterleave(int8 x, int8 y, int8 z, int8 w)
{
union sign8
{
int8 i;
uint8 u;
} sign_x, sign_y, sign_z, sign_w;
union sign32
{
int32 i;
uint32 u;
} result;
sign_x.i = x;
sign_y.i = y;
sign_z.i = z;
sign_w.i = w;
result.u = bitfieldInterleave(sign_x.u, sign_y.u, sign_z.u, sign_w.u);
return result.i;
}
GLM_FUNC_QUALIFIER uint32 bitfieldInterleave(uint8 x, uint8 y, uint8 z, uint8 w)
{
return detail::bitfieldInterleave<uint8, uint32>(x, y, z, w);
}
GLM_FUNC_QUALIFIER uint32 bitfieldInterleave(u8vec4 const& v)
{
return detail::bitfieldInterleave<uint8, uint32>(v.x, v.y, v.z, v.w);
}
GLM_FUNC_QUALIFIER int64 bitfieldInterleave(int16 x, int16 y, int16 z, int16 w)
{
union sign16
{
int16 i;
uint16 u;
} sign_x, sign_y, sign_z, sign_w;
union sign64
{
int64 i;
uint64 u;
} result;
sign_x.i = x;
sign_y.i = y;
sign_z.i = z;
sign_w.i = w;
result.u = bitfieldInterleave(sign_x.u, sign_y.u, sign_z.u, sign_w.u);
return result.i;
}
GLM_FUNC_QUALIFIER uint64 bitfieldInterleave(uint16 x, uint16 y, uint16 z, uint16 w)
{
return detail::bitfieldInterleave<uint16, uint64>(x, y, z, w);
}
GLM_FUNC_QUALIFIER uint64 bitfieldInterleave(u16vec4 const& v)
{
return detail::bitfieldInterleave<uint16, uint64>(v.x, v.y, v.z, v.w);
}
}//namespace glm

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/// @ref gtc_color_space
/// @file glm/gtc/color_space.hpp
///
/// @see core (dependence)
/// @see gtc_color_space (dependence)
///
/// @defgroup gtc_color_space GLM_GTC_color_space
/// @ingroup gtc
///
/// Include <glm/gtc/color_space.hpp> to use the features of this extension.
///
/// Allow to perform bit operations on integer values
#pragma once
// Dependencies
#include "../detail/setup.hpp"
#include "../detail/qualifier.hpp"
#include "../exponential.hpp"
#include "../vec3.hpp"
#include "../vec4.hpp"
#include <limits>
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_color_space extension included")
#endif
namespace glm
{
/// @addtogroup gtc_color_space
/// @{
/// Convert a linear color to sRGB color using a standard gamma correction.
/// IEC 61966-2-1:1999 / Rec. 709 specification https://www.w3.org/Graphics/Color/srgb
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> convertLinearToSRGB(vec<L, T, Q> const& ColorLinear);
/// Convert a linear color to sRGB color using a custom gamma correction.
/// IEC 61966-2-1:1999 / Rec. 709 specification https://www.w3.org/Graphics/Color/srgb
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> convertLinearToSRGB(vec<L, T, Q> const& ColorLinear, T Gamma);
/// Convert a sRGB color to linear color using a standard gamma correction.
/// IEC 61966-2-1:1999 / Rec. 709 specification https://www.w3.org/Graphics/Color/srgb
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> convertSRGBToLinear(vec<L, T, Q> const& ColorSRGB);
/// Convert a sRGB color to linear color using a custom gamma correction.
// IEC 61966-2-1:1999 / Rec. 709 specification https://www.w3.org/Graphics/Color/srgb
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> convertSRGBToLinear(vec<L, T, Q> const& ColorSRGB, T Gamma);
/// @}
} //namespace glm
#include "color_space.inl"

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/// @ref gtc_color_space
namespace glm{
namespace detail
{
template<length_t L, typename T, qualifier Q>
struct compute_rgbToSrgb
{
GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& ColorRGB, T GammaCorrection)
{
vec<L, T, Q> const ClampedColor(clamp(ColorRGB, static_cast<T>(0), static_cast<T>(1)));
return mix(
pow(ClampedColor, vec<L, T, Q>(GammaCorrection)) * static_cast<T>(1.055) - static_cast<T>(0.055),
ClampedColor * static_cast<T>(12.92),
lessThan(ClampedColor, vec<L, T, Q>(static_cast<T>(0.0031308))));
}
};
template<typename T, qualifier Q>
struct compute_rgbToSrgb<4, T, Q>
{
GLM_FUNC_QUALIFIER static vec<4, T, Q> call(vec<4, T, Q> const& ColorRGB, T GammaCorrection)
{
return vec<4, T, Q>(compute_rgbToSrgb<3, T, Q>::call(vec<3, T, Q>(ColorRGB), GammaCorrection), ColorRGB.w);
}
};
template<length_t L, typename T, qualifier Q>
struct compute_srgbToRgb
{
GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& ColorSRGB, T Gamma)
{
return mix(
pow((ColorSRGB + static_cast<T>(0.055)) * static_cast<T>(0.94786729857819905213270142180095), vec<L, T, Q>(Gamma)),
ColorSRGB * static_cast<T>(0.07739938080495356037151702786378),
lessThanEqual(ColorSRGB, vec<L, T, Q>(static_cast<T>(0.04045))));
}
};
template<typename T, qualifier Q>
struct compute_srgbToRgb<4, T, Q>
{
GLM_FUNC_QUALIFIER static vec<4, T, Q> call(vec<4, T, Q> const& ColorSRGB, T Gamma)
{
return vec<4, T, Q>(compute_srgbToRgb<3, T, Q>::call(vec<3, T, Q>(ColorSRGB), Gamma), ColorSRGB.w);
}
};
}//namespace detail
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> convertLinearToSRGB(vec<L, T, Q> const& ColorLinear)
{
return detail::compute_rgbToSrgb<L, T, Q>::call(ColorLinear, static_cast<T>(0.41666));
}
// Based on Ian Taylor http://chilliant.blogspot.fr/2012/08/srgb-approximations-for-hlsl.html
template<>
GLM_FUNC_QUALIFIER vec<3, float, lowp> convertLinearToSRGB(vec<3, float, lowp> const& ColorLinear)
{
vec<3, float, lowp> S1 = sqrt(ColorLinear);
vec<3, float, lowp> S2 = sqrt(S1);
vec<3, float, lowp> S3 = sqrt(S2);
return 0.662002687f * S1 + 0.684122060f * S2 - 0.323583601f * S3 - 0.0225411470f * ColorLinear;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> convertLinearToSRGB(vec<L, T, Q> const& ColorLinear, T Gamma)
{
return detail::compute_rgbToSrgb<L, T, Q>::call(ColorLinear, static_cast<T>(1) / Gamma);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> convertSRGBToLinear(vec<L, T, Q> const& ColorSRGB)
{
return detail::compute_srgbToRgb<L, T, Q>::call(ColorSRGB, static_cast<T>(2.4));
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> convertSRGBToLinear(vec<L, T, Q> const& ColorSRGB, T Gamma)
{
return detail::compute_srgbToRgb<L, T, Q>::call(ColorSRGB, Gamma);
}
}//namespace glm

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/// @ref gtc_constants
/// @file glm/gtc/constants.hpp
///
/// @see core (dependence)
///
/// @defgroup gtc_constants GLM_GTC_constants
/// @ingroup gtc
///
/// Include <glm/gtc/constants.hpp> to use the features of this extension.
///
/// Provide a list of constants and precomputed useful values.
#pragma once
// Dependencies
#include "../ext/scalar_constants.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_constants extension included")
#endif
namespace glm
{
/// @addtogroup gtc_constants
/// @{
/// Return 0.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType zero();
/// Return 1.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType one();
/// Return pi * 2.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType two_pi();
/// Return square root of pi.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType root_pi();
/// Return pi / 2.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType half_pi();
/// Return pi / 2 * 3.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType three_over_two_pi();
/// Return pi / 4.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType quarter_pi();
/// Return 1 / pi.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType one_over_pi();
/// Return 1 / (pi * 2).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType one_over_two_pi();
/// Return 2 / pi.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType two_over_pi();
/// Return 4 / pi.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType four_over_pi();
/// Return 2 / sqrt(pi).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType two_over_root_pi();
/// Return 1 / sqrt(2).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType one_over_root_two();
/// Return sqrt(pi / 2).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType root_half_pi();
/// Return sqrt(2 * pi).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType root_two_pi();
/// Return sqrt(ln(4)).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType root_ln_four();
/// Return e constant.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType e();
/// Return Euler's constant.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType euler();
/// Return sqrt(2).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType root_two();
/// Return sqrt(3).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType root_three();
/// Return sqrt(5).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType root_five();
/// Return ln(2).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType ln_two();
/// Return ln(10).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType ln_ten();
/// Return ln(ln(2)).
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType ln_ln_two();
/// Return 1 / 3.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType third();
/// Return 2 / 3.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType two_thirds();
/// Return the golden ratio constant.
/// @see gtc_constants
template<typename genType>
GLM_FUNC_DECL GLM_CONSTEXPR genType golden_ratio();
/// @}
} //namespace glm
#include "constants.inl"

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/// @ref gtc_constants
namespace glm
{
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType zero()
{
return genType(0);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType one()
{
return genType(1);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType two_pi()
{
return genType(6.28318530717958647692528676655900576);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_pi()
{
return genType(1.772453850905516027);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType half_pi()
{
return genType(1.57079632679489661923132169163975144);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType three_over_two_pi()
{
return genType(4.71238898038468985769396507491925432);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType quarter_pi()
{
return genType(0.785398163397448309615660845819875721);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType one_over_pi()
{
return genType(0.318309886183790671537767526745028724);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType one_over_two_pi()
{
return genType(0.159154943091895335768883763372514362);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType two_over_pi()
{
return genType(0.636619772367581343075535053490057448);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType four_over_pi()
{
return genType(1.273239544735162686151070106980114898);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType two_over_root_pi()
{
return genType(1.12837916709551257389615890312154517);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType one_over_root_two()
{
return genType(0.707106781186547524400844362104849039);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_half_pi()
{
return genType(1.253314137315500251);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_two_pi()
{
return genType(2.506628274631000502);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_ln_four()
{
return genType(1.17741002251547469);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType e()
{
return genType(2.71828182845904523536);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType euler()
{
return genType(0.577215664901532860606);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_two()
{
return genType(1.41421356237309504880168872420969808);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_three()
{
return genType(1.73205080756887729352744634150587236);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_five()
{
return genType(2.23606797749978969640917366873127623);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType ln_two()
{
return genType(0.693147180559945309417232121458176568);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType ln_ten()
{
return genType(2.30258509299404568401799145468436421);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType ln_ln_two()
{
return genType(-0.3665129205816643);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType third()
{
return genType(0.3333333333333333333333333333333333333333);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType two_thirds()
{
return genType(0.666666666666666666666666666666666666667);
}
template<typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType golden_ratio()
{
return genType(1.61803398874989484820458683436563811);
}
} //namespace glm

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/// @ref gtc_epsilon
/// @file glm/gtc/epsilon.hpp
///
/// @see core (dependence)
/// @see gtc_quaternion (dependence)
///
/// @defgroup gtc_epsilon GLM_GTC_epsilon
/// @ingroup gtc
///
/// Include <glm/gtc/epsilon.hpp> to use the features of this extension.
///
/// Comparison functions for a user defined epsilon values.
#pragma once
// Dependencies
#include "../detail/setup.hpp"
#include "../detail/qualifier.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_epsilon extension included")
#endif
namespace glm
{
/// @addtogroup gtc_epsilon
/// @{
/// Returns the component-wise comparison of |x - y| < epsilon.
/// True if this expression is satisfied.
///
/// @see gtc_epsilon
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, bool, Q> epsilonEqual(vec<L, T, Q> const& x, vec<L, T, Q> const& y, T const& epsilon);
/// Returns the component-wise comparison of |x - y| < epsilon.
/// True if this expression is satisfied.
///
/// @see gtc_epsilon
template<typename genType>
GLM_FUNC_DECL bool epsilonEqual(genType const& x, genType const& y, genType const& epsilon);
/// Returns the component-wise comparison of |x - y| < epsilon.
/// True if this expression is not satisfied.
///
/// @see gtc_epsilon
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, bool, Q> epsilonNotEqual(vec<L, T, Q> const& x, vec<L, T, Q> const& y, T const& epsilon);
/// Returns the component-wise comparison of |x - y| >= epsilon.
/// True if this expression is not satisfied.
///
/// @see gtc_epsilon
template<typename genType>
GLM_FUNC_DECL bool epsilonNotEqual(genType const& x, genType const& y, genType const& epsilon);
/// @}
}//namespace glm
#include "epsilon.inl"

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/// @ref gtc_epsilon
// Dependency:
#include "../vector_relational.hpp"
#include "../common.hpp"
namespace glm
{
template<>
GLM_FUNC_QUALIFIER bool epsilonEqual
(
float const& x,
float const& y,
float const& epsilon
)
{
return abs(x - y) < epsilon;
}
template<>
GLM_FUNC_QUALIFIER bool epsilonEqual
(
double const& x,
double const& y,
double const& epsilon
)
{
return abs(x - y) < epsilon;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, bool, Q> epsilonEqual(vec<L, T, Q> const& x, vec<L, T, Q> const& y, T const& epsilon)
{
return lessThan(abs(x - y), vec<L, T, Q>(epsilon));
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, bool, Q> epsilonEqual(vec<L, T, Q> const& x, vec<L, T, Q> const& y, vec<L, T, Q> const& epsilon)
{
return lessThan(abs(x - y), vec<L, T, Q>(epsilon));
}
template<>
GLM_FUNC_QUALIFIER bool epsilonNotEqual(float const& x, float const& y, float const& epsilon)
{
return abs(x - y) >= epsilon;
}
template<>
GLM_FUNC_QUALIFIER bool epsilonNotEqual(double const& x, double const& y, double const& epsilon)
{
return abs(x - y) >= epsilon;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, bool, Q> epsilonNotEqual(vec<L, T, Q> const& x, vec<L, T, Q> const& y, T const& epsilon)
{
return greaterThanEqual(abs(x - y), vec<L, T, Q>(epsilon));
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, bool, Q> epsilonNotEqual(vec<L, T, Q> const& x, vec<L, T, Q> const& y, vec<L, T, Q> const& epsilon)
{
return greaterThanEqual(abs(x - y), vec<L, T, Q>(epsilon));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<4, bool, Q> epsilonEqual(qua<T, Q> const& x, qua<T, Q> const& y, T const& epsilon)
{
vec<4, T, Q> v(x.x - y.x, x.y - y.y, x.z - y.z, x.w - y.w);
return lessThan(abs(v), vec<4, T, Q>(epsilon));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<4, bool, Q> epsilonNotEqual(qua<T, Q> const& x, qua<T, Q> const& y, T const& epsilon)
{
vec<4, T, Q> v(x.x - y.x, x.y - y.y, x.z - y.z, x.w - y.w);
return greaterThanEqual(abs(v), vec<4, T, Q>(epsilon));
}
}//namespace glm

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/// @ref gtc_integer
/// @file glm/gtc/integer.hpp
///
/// @see core (dependence)
/// @see gtc_integer (dependence)
///
/// @defgroup gtc_integer GLM_GTC_integer
/// @ingroup gtc
///
/// Include <glm/gtc/integer.hpp> to use the features of this extension.
///
/// @brief Allow to perform bit operations on integer values
#pragma once
// Dependencies
#include "../detail/setup.hpp"
#include "../detail/qualifier.hpp"
#include "../common.hpp"
#include "../integer.hpp"
#include "../exponential.hpp"
#include <limits>
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_integer extension included")
#endif
namespace glm
{
/// @addtogroup gtc_integer
/// @{
/// Returns the log2 of x for integer values. Usefull to compute mipmap count from the texture size.
/// @see gtc_integer
template<typename genIUType>
GLM_FUNC_DECL genIUType log2(genIUType x);
/// Returns a value equal to the nearest integer to x.
/// The fraction 0.5 will round in a direction chosen by the
/// implementation, presumably the direction that is fastest.
///
/// @param x The values of the argument must be greater or equal to zero.
/// @tparam T floating point scalar types.
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/round.xml">GLSL round man page</a>
/// @see gtc_integer
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, int, Q> iround(vec<L, T, Q> const& x);
/// Returns a value equal to the nearest integer to x.
/// The fraction 0.5 will round in a direction chosen by the
/// implementation, presumably the direction that is fastest.
///
/// @param x The values of the argument must be greater or equal to zero.
/// @tparam T floating point scalar types.
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/round.xml">GLSL round man page</a>
/// @see gtc_integer
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, uint, Q> uround(vec<L, T, Q> const& x);
/// @}
} //namespace glm
#include "integer.inl"

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/// @ref gtc_integer
namespace glm{
namespace detail
{
template<length_t L, typename T, qualifier Q, bool Aligned>
struct compute_log2<L, T, Q, false, Aligned>
{
GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& v)
{
//Equivalent to return findMSB(vec); but save one function call in ASM with VC
//return findMSB(vec);
return vec<L, T, Q>(detail::compute_findMSB_vec<L, T, Q, sizeof(T) * 8>::call(v));
}
};
# if GLM_HAS_BITSCAN_WINDOWS
template<qualifier Q, bool Aligned>
struct compute_log2<4, int, Q, false, Aligned>
{
GLM_FUNC_QUALIFIER static vec<4, int, Q> call(vec<4, int, Q> const& v)
{
vec<4, int, Q> Result;
_BitScanReverse(reinterpret_cast<unsigned long*>(&Result.x), v.x);
_BitScanReverse(reinterpret_cast<unsigned long*>(&Result.y), v.y);
_BitScanReverse(reinterpret_cast<unsigned long*>(&Result.z), v.z);
_BitScanReverse(reinterpret_cast<unsigned long*>(&Result.w), v.w);
return Result;
}
};
# endif//GLM_HAS_BITSCAN_WINDOWS
}//namespace detail
template<typename genType>
GLM_FUNC_QUALIFIER int iround(genType x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'iround' only accept floating-point inputs");
assert(static_cast<genType>(0.0) <= x);
return static_cast<int>(x + static_cast<genType>(0.5));
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, int, Q> iround(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'iround' only accept floating-point inputs");
assert(all(lessThanEqual(vec<L, T, Q>(0), x)));
return vec<L, int, Q>(x + static_cast<T>(0.5));
}
template<typename genType>
GLM_FUNC_QUALIFIER uint uround(genType x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'uround' only accept floating-point inputs");
assert(static_cast<genType>(0.0) <= x);
return static_cast<uint>(x + static_cast<genType>(0.5));
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, uint, Q> uround(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'uround' only accept floating-point inputs");
assert(all(lessThanEqual(vec<L, T, Q>(0), x)));
return vec<L, uint, Q>(x + static_cast<T>(0.5));
}
}//namespace glm

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/// @ref gtc_matrix_access
/// @file glm/gtc/matrix_access.hpp
///
/// @see core (dependence)
///
/// @defgroup gtc_matrix_access GLM_GTC_matrix_access
/// @ingroup gtc
///
/// Include <glm/gtc/matrix_access.hpp> to use the features of this extension.
///
/// Defines functions to access rows or columns of a matrix easily.
#pragma once
// Dependency:
#include "../detail/setup.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_matrix_access extension included")
#endif
namespace glm
{
/// @addtogroup gtc_matrix_access
/// @{
/// Get a specific row of a matrix.
/// @see gtc_matrix_access
template<typename genType>
GLM_FUNC_DECL typename genType::row_type row(
genType const& m,
length_t index);
/// Set a specific row to a matrix.
/// @see gtc_matrix_access
template<typename genType>
GLM_FUNC_DECL genType row(
genType const& m,
length_t index,
typename genType::row_type const& x);
/// Get a specific column of a matrix.
/// @see gtc_matrix_access
template<typename genType>
GLM_FUNC_DECL typename genType::col_type column(
genType const& m,
length_t index);
/// Set a specific column to a matrix.
/// @see gtc_matrix_access
template<typename genType>
GLM_FUNC_DECL genType column(
genType const& m,
length_t index,
typename genType::col_type const& x);
/// @}
}//namespace glm
#include "matrix_access.inl"

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/// @ref gtc_matrix_access
namespace glm
{
template<typename genType>
GLM_FUNC_QUALIFIER genType row
(
genType const& m,
length_t index,
typename genType::row_type const& x
)
{
assert(index >= 0 && index < m[0].length());
genType Result = m;
for(length_t i = 0; i < m.length(); ++i)
Result[i][index] = x[i];
return Result;
}
template<typename genType>
GLM_FUNC_QUALIFIER typename genType::row_type row
(
genType const& m,
length_t index
)
{
assert(index >= 0 && index < m[0].length());
typename genType::row_type Result(0);
for(length_t i = 0; i < m.length(); ++i)
Result[i] = m[i][index];
return Result;
}
template<typename genType>
GLM_FUNC_QUALIFIER genType column
(
genType const& m,
length_t index,
typename genType::col_type const& x
)
{
assert(index >= 0 && index < m.length());
genType Result = m;
Result[index] = x;
return Result;
}
template<typename genType>
GLM_FUNC_QUALIFIER typename genType::col_type column
(
genType const& m,
length_t index
)
{
assert(index >= 0 && index < m.length());
return m[index];
}
}//namespace glm

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/// @ref gtc_matrix_integer
/// @file glm/gtc/matrix_integer.hpp
///
/// @see core (dependence)
///
/// @defgroup gtc_matrix_integer GLM_GTC_matrix_integer
/// @ingroup gtc
///
/// Include <glm/gtc/matrix_integer.hpp> to use the features of this extension.
///
/// Defines a number of matrices with integer types.
#pragma once
// Dependency:
#include "../mat2x2.hpp"
#include "../mat2x3.hpp"
#include "../mat2x4.hpp"
#include "../mat3x2.hpp"
#include "../mat3x3.hpp"
#include "../mat3x4.hpp"
#include "../mat4x2.hpp"
#include "../mat4x3.hpp"
#include "../mat4x4.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_matrix_integer extension included")
#endif
namespace glm
{
/// @addtogroup gtc_matrix_integer
/// @{
/// High-qualifier signed integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, int, highp> highp_imat2;
/// High-qualifier signed integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, int, highp> highp_imat3;
/// High-qualifier signed integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, int, highp> highp_imat4;
/// High-qualifier signed integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, int, highp> highp_imat2x2;
/// High-qualifier signed integer 2x3 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 3, int, highp> highp_imat2x3;
/// High-qualifier signed integer 2x4 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 4, int, highp> highp_imat2x4;
/// High-qualifier signed integer 3x2 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 2, int, highp> highp_imat3x2;
/// High-qualifier signed integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, int, highp> highp_imat3x3;
/// High-qualifier signed integer 3x4 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 4, int, highp> highp_imat3x4;
/// High-qualifier signed integer 4x2 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 2, int, highp> highp_imat4x2;
/// High-qualifier signed integer 4x3 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 3, int, highp> highp_imat4x3;
/// High-qualifier signed integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, int, highp> highp_imat4x4;
/// Medium-qualifier signed integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, int, mediump> mediump_imat2;
/// Medium-qualifier signed integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, int, mediump> mediump_imat3;
/// Medium-qualifier signed integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, int, mediump> mediump_imat4;
/// Medium-qualifier signed integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, int, mediump> mediump_imat2x2;
/// Medium-qualifier signed integer 2x3 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 3, int, mediump> mediump_imat2x3;
/// Medium-qualifier signed integer 2x4 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 4, int, mediump> mediump_imat2x4;
/// Medium-qualifier signed integer 3x2 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 2, int, mediump> mediump_imat3x2;
/// Medium-qualifier signed integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, int, mediump> mediump_imat3x3;
/// Medium-qualifier signed integer 3x4 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 4, int, mediump> mediump_imat3x4;
/// Medium-qualifier signed integer 4x2 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 2, int, mediump> mediump_imat4x2;
/// Medium-qualifier signed integer 4x3 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 3, int, mediump> mediump_imat4x3;
/// Medium-qualifier signed integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, int, mediump> mediump_imat4x4;
/// Low-qualifier signed integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, int, lowp> lowp_imat2;
/// Low-qualifier signed integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, int, lowp> lowp_imat3;
/// Low-qualifier signed integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, int, lowp> lowp_imat4;
/// Low-qualifier signed integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, int, lowp> lowp_imat2x2;
/// Low-qualifier signed integer 2x3 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 3, int, lowp> lowp_imat2x3;
/// Low-qualifier signed integer 2x4 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 4, int, lowp> lowp_imat2x4;
/// Low-qualifier signed integer 3x2 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 2, int, lowp> lowp_imat3x2;
/// Low-qualifier signed integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, int, lowp> lowp_imat3x3;
/// Low-qualifier signed integer 3x4 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 4, int, lowp> lowp_imat3x4;
/// Low-qualifier signed integer 4x2 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 2, int, lowp> lowp_imat4x2;
/// Low-qualifier signed integer 4x3 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 3, int, lowp> lowp_imat4x3;
/// Low-qualifier signed integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, int, lowp> lowp_imat4x4;
/// High-qualifier unsigned integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, uint, highp> highp_umat2;
/// High-qualifier unsigned integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, uint, highp> highp_umat3;
/// High-qualifier unsigned integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, uint, highp> highp_umat4;
/// High-qualifier unsigned integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, uint, highp> highp_umat2x2;
/// High-qualifier unsigned integer 2x3 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 3, uint, highp> highp_umat2x3;
/// High-qualifier unsigned integer 2x4 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 4, uint, highp> highp_umat2x4;
/// High-qualifier unsigned integer 3x2 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 2, uint, highp> highp_umat3x2;
/// High-qualifier unsigned integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, uint, highp> highp_umat3x3;
/// High-qualifier unsigned integer 3x4 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 4, uint, highp> highp_umat3x4;
/// High-qualifier unsigned integer 4x2 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 2, uint, highp> highp_umat4x2;
/// High-qualifier unsigned integer 4x3 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 3, uint, highp> highp_umat4x3;
/// High-qualifier unsigned integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, uint, highp> highp_umat4x4;
/// Medium-qualifier unsigned integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, uint, mediump> mediump_umat2;
/// Medium-qualifier unsigned integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, uint, mediump> mediump_umat3;
/// Medium-qualifier unsigned integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, uint, mediump> mediump_umat4;
/// Medium-qualifier unsigned integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, uint, mediump> mediump_umat2x2;
/// Medium-qualifier unsigned integer 2x3 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 3, uint, mediump> mediump_umat2x3;
/// Medium-qualifier unsigned integer 2x4 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 4, uint, mediump> mediump_umat2x4;
/// Medium-qualifier unsigned integer 3x2 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 2, uint, mediump> mediump_umat3x2;
/// Medium-qualifier unsigned integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, uint, mediump> mediump_umat3x3;
/// Medium-qualifier unsigned integer 3x4 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 4, uint, mediump> mediump_umat3x4;
/// Medium-qualifier unsigned integer 4x2 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 2, uint, mediump> mediump_umat4x2;
/// Medium-qualifier unsigned integer 4x3 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 3, uint, mediump> mediump_umat4x3;
/// Medium-qualifier unsigned integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, uint, mediump> mediump_umat4x4;
/// Low-qualifier unsigned integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, uint, lowp> lowp_umat2;
/// Low-qualifier unsigned integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, uint, lowp> lowp_umat3;
/// Low-qualifier unsigned integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, uint, lowp> lowp_umat4;
/// Low-qualifier unsigned integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, uint, lowp> lowp_umat2x2;
/// Low-qualifier unsigned integer 2x3 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 3, uint, lowp> lowp_umat2x3;
/// Low-qualifier unsigned integer 2x4 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 4, uint, lowp> lowp_umat2x4;
/// Low-qualifier unsigned integer 3x2 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 2, uint, lowp> lowp_umat3x2;
/// Low-qualifier unsigned integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, uint, lowp> lowp_umat3x3;
/// Low-qualifier unsigned integer 3x4 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 4, uint, lowp> lowp_umat3x4;
/// Low-qualifier unsigned integer 4x2 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 2, uint, lowp> lowp_umat4x2;
/// Low-qualifier unsigned integer 4x3 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 3, uint, lowp> lowp_umat4x3;
/// Low-qualifier unsigned integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, uint, lowp> lowp_umat4x4;
/// Signed integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, int, defaultp> imat2;
/// Signed integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, int, defaultp> imat3;
/// Signed integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, int, defaultp> imat4;
/// Signed integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, int, defaultp> imat2x2;
/// Signed integer 2x3 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 3, int, defaultp> imat2x3;
/// Signed integer 2x4 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 4, int, defaultp> imat2x4;
/// Signed integer 3x2 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 2, int, defaultp> imat3x2;
/// Signed integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, int, defaultp> imat3x3;
/// Signed integer 3x4 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 4, int, defaultp> imat3x4;
/// Signed integer 4x2 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 2, int, defaultp> imat4x2;
/// Signed integer 4x3 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 3, int, defaultp> imat4x3;
/// Signed integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, int, defaultp> imat4x4;
/// Unsigned integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, uint, defaultp> umat2;
/// Unsigned integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, uint, defaultp> umat3;
/// Unsigned integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, uint, defaultp> umat4;
/// Unsigned integer 2x2 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 2, uint, defaultp> umat2x2;
/// Unsigned integer 2x3 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 3, uint, defaultp> umat2x3;
/// Unsigned integer 2x4 matrix.
/// @see gtc_matrix_integer
typedef mat<2, 4, uint, defaultp> umat2x4;
/// Unsigned integer 3x2 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 2, uint, defaultp> umat3x2;
/// Unsigned integer 3x3 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 3, uint, defaultp> umat3x3;
/// Unsigned integer 3x4 matrix.
/// @see gtc_matrix_integer
typedef mat<3, 4, uint, defaultp> umat3x4;
/// Unsigned integer 4x2 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 2, uint, defaultp> umat4x2;
/// Unsigned integer 4x3 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 3, uint, defaultp> umat4x3;
/// Unsigned integer 4x4 matrix.
/// @see gtc_matrix_integer
typedef mat<4, 4, uint, defaultp> umat4x4;
/// @}
}//namespace glm

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/// @ref gtc_matrix_inverse
/// @file glm/gtc/matrix_inverse.hpp
///
/// @see core (dependence)
///
/// @defgroup gtc_matrix_inverse GLM_GTC_matrix_inverse
/// @ingroup gtc
///
/// Include <glm/gtc/matrix_integer.hpp> to use the features of this extension.
///
/// Defines additional matrix inverting functions.
#pragma once
// Dependencies
#include "../detail/setup.hpp"
#include "../matrix.hpp"
#include "../mat2x2.hpp"
#include "../mat3x3.hpp"
#include "../mat4x4.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_matrix_inverse extension included")
#endif
namespace glm
{
/// @addtogroup gtc_matrix_inverse
/// @{
/// Fast matrix inverse for affine matrix.
///
/// @param m Input matrix to invert.
/// @tparam genType Squared floating-point matrix: half, float or double. Inverse of matrix based of half-qualifier floating point value is highly innacurate.
/// @see gtc_matrix_inverse
template<typename genType>
GLM_FUNC_DECL genType affineInverse(genType const& m);
/// Compute the inverse transpose of a matrix.
///
/// @param m Input matrix to invert transpose.
/// @tparam genType Squared floating-point matrix: half, float or double. Inverse of matrix based of half-qualifier floating point value is highly innacurate.
/// @see gtc_matrix_inverse
template<typename genType>
GLM_FUNC_DECL genType inverseTranspose(genType const& m);
/// @}
}//namespace glm
#include "matrix_inverse.inl"

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/// @ref gtc_matrix_inverse
namespace glm
{
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER mat<3, 3, T, Q> affineInverse(mat<3, 3, T, Q> const& m)
{
mat<2, 2, T, Q> const Inv(inverse(mat<2, 2, T, Q>(m)));
return mat<3, 3, T, Q>(
vec<3, T, Q>(Inv[0], static_cast<T>(0)),
vec<3, T, Q>(Inv[1], static_cast<T>(0)),
vec<3, T, Q>(-Inv * vec<2, T, Q>(m[2]), static_cast<T>(1)));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER mat<4, 4, T, Q> affineInverse(mat<4, 4, T, Q> const& m)
{
mat<3, 3, T, Q> const Inv(inverse(mat<3, 3, T, Q>(m)));
return mat<4, 4, T, Q>(
vec<4, T, Q>(Inv[0], static_cast<T>(0)),
vec<4, T, Q>(Inv[1], static_cast<T>(0)),
vec<4, T, Q>(Inv[2], static_cast<T>(0)),
vec<4, T, Q>(-Inv * vec<3, T, Q>(m[3]), static_cast<T>(1)));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER mat<2, 2, T, Q> inverseTranspose(mat<2, 2, T, Q> const& m)
{
T Determinant = m[0][0] * m[1][1] - m[1][0] * m[0][1];
mat<2, 2, T, Q> Inverse(
+ m[1][1] / Determinant,
- m[0][1] / Determinant,
- m[1][0] / Determinant,
+ m[0][0] / Determinant);
return Inverse;
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER mat<3, 3, T, Q> inverseTranspose(mat<3, 3, T, Q> const& m)
{
T Determinant =
+ m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1])
- m[0][1] * (m[1][0] * m[2][2] - m[1][2] * m[2][0])
+ m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0]);
mat<3, 3, T, Q> Inverse;
Inverse[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]);
Inverse[0][1] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]);
Inverse[0][2] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]);
Inverse[1][0] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]);
Inverse[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]);
Inverse[1][2] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]);
Inverse[2][0] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]);
Inverse[2][1] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]);
Inverse[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]);
Inverse /= Determinant;
return Inverse;
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER mat<4, 4, T, Q> inverseTranspose(mat<4, 4, T, Q> const& m)
{
T SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3];
T SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3];
T SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2];
T SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3];
T SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2];
T SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1];
T SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3];
T SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3];
T SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2];
T SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3];
T SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2];
T SubFactor11 = m[1][0] * m[3][1] - m[3][0] * m[1][1];
T SubFactor12 = m[1][2] * m[2][3] - m[2][2] * m[1][3];
T SubFactor13 = m[1][1] * m[2][3] - m[2][1] * m[1][3];
T SubFactor14 = m[1][1] * m[2][2] - m[2][1] * m[1][2];
T SubFactor15 = m[1][0] * m[2][3] - m[2][0] * m[1][3];
T SubFactor16 = m[1][0] * m[2][2] - m[2][0] * m[1][2];
T SubFactor17 = m[1][0] * m[2][1] - m[2][0] * m[1][1];
mat<4, 4, T, Q> Inverse;
Inverse[0][0] = + (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02);
Inverse[0][1] = - (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04);
Inverse[0][2] = + (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05);
Inverse[0][3] = - (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05);
Inverse[1][0] = - (m[0][1] * SubFactor00 - m[0][2] * SubFactor01 + m[0][3] * SubFactor02);
Inverse[1][1] = + (m[0][0] * SubFactor00 - m[0][2] * SubFactor03 + m[0][3] * SubFactor04);
Inverse[1][2] = - (m[0][0] * SubFactor01 - m[0][1] * SubFactor03 + m[0][3] * SubFactor05);
Inverse[1][3] = + (m[0][0] * SubFactor02 - m[0][1] * SubFactor04 + m[0][2] * SubFactor05);
Inverse[2][0] = + (m[0][1] * SubFactor06 - m[0][2] * SubFactor07 + m[0][3] * SubFactor08);
Inverse[2][1] = - (m[0][0] * SubFactor06 - m[0][2] * SubFactor09 + m[0][3] * SubFactor10);
Inverse[2][2] = + (m[0][0] * SubFactor07 - m[0][1] * SubFactor09 + m[0][3] * SubFactor11);
Inverse[2][3] = - (m[0][0] * SubFactor08 - m[0][1] * SubFactor10 + m[0][2] * SubFactor11);
Inverse[3][0] = - (m[0][1] * SubFactor12 - m[0][2] * SubFactor13 + m[0][3] * SubFactor14);
Inverse[3][1] = + (m[0][0] * SubFactor12 - m[0][2] * SubFactor15 + m[0][3] * SubFactor16);
Inverse[3][2] = - (m[0][0] * SubFactor13 - m[0][1] * SubFactor15 + m[0][3] * SubFactor17);
Inverse[3][3] = + (m[0][0] * SubFactor14 - m[0][1] * SubFactor16 + m[0][2] * SubFactor17);
T Determinant =
+ m[0][0] * Inverse[0][0]
+ m[0][1] * Inverse[0][1]
+ m[0][2] * Inverse[0][2]
+ m[0][3] * Inverse[0][3];
Inverse /= Determinant;
return Inverse;
}
}//namespace glm

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/// @ref gtc_matrix_transform
/// @file glm/gtc/matrix_transform.hpp
///
/// @see core (dependence)
/// @see gtx_transform
/// @see gtx_transform2
///
/// @defgroup gtc_matrix_transform GLM_GTC_matrix_transform
/// @ingroup gtc
///
/// Include <glm/gtc/matrix_transform.hpp> to use the features of this extension.
///
/// Defines functions that generate common transformation matrices.
///
/// The matrices generated by this extension use standard OpenGL fixed-function
/// conventions. For example, the lookAt function generates a transform from world
/// space into the specific eye space that the projective matrix functions
/// (perspective, ortho, etc) are designed to expect. The OpenGL compatibility
/// specifications defines the particular layout of this eye space.
#pragma once
// Dependencies
#include "../mat4x4.hpp"
#include "../vec2.hpp"
#include "../vec3.hpp"
#include "../vec4.hpp"
#include "../ext/matrix_projection.hpp"
#include "../ext/matrix_clip_space.hpp"
#include "../ext/matrix_transform.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_matrix_transform extension included")
#endif
#include "matrix_transform.inl"

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#include "../geometric.hpp"
#include "../trigonometric.hpp"
#include "../matrix.hpp"

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/// @ref gtc_noise
/// @file glm/gtc/noise.hpp
///
/// @see core (dependence)
///
/// @defgroup gtc_noise GLM_GTC_noise
/// @ingroup gtc
///
/// Include <glm/gtc/noise.hpp> to use the features of this extension.
///
/// Defines 2D, 3D and 4D procedural noise functions
/// Based on the work of Stefan Gustavson and Ashima Arts on "webgl-noise":
/// https://github.com/ashima/webgl-noise
/// Following Stefan Gustavson's paper "Simplex noise demystified":
/// http://www.itn.liu.se/~stegu/simplexnoise/simplexnoise.pdf
#pragma once
// Dependencies
#include "../detail/setup.hpp"
#include "../detail/qualifier.hpp"
#include "../detail/_noise.hpp"
#include "../geometric.hpp"
#include "../common.hpp"
#include "../vector_relational.hpp"
#include "../vec2.hpp"
#include "../vec3.hpp"
#include "../vec4.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_noise extension included")
#endif
namespace glm
{
/// @addtogroup gtc_noise
/// @{
/// Classic perlin noise.
/// @see gtc_noise
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL T perlin(
vec<L, T, Q> const& p);
/// Periodic perlin noise.
/// @see gtc_noise
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL T perlin(
vec<L, T, Q> const& p,
vec<L, T, Q> const& rep);
/// Simplex noise.
/// @see gtc_noise
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL T simplex(
vec<L, T, Q> const& p);
/// @}
}//namespace glm
#include "noise.inl"

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/// @ref gtc_noise
///
// Based on the work of Stefan Gustavson and Ashima Arts on "webgl-noise":
// https://github.com/ashima/webgl-noise
// Following Stefan Gustavson's paper "Simplex noise demystified":
// http://www.itn.liu.se/~stegu/simplexnoise/simplexnoise.pdf
namespace glm{
namespace gtc
{
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<4, T, Q> grad4(T const& j, vec<4, T, Q> const& ip)
{
vec<3, T, Q> pXYZ = floor(fract(vec<3, T, Q>(j) * vec<3, T, Q>(ip)) * T(7)) * ip[2] - T(1);
T pW = static_cast<T>(1.5) - dot(abs(pXYZ), vec<3, T, Q>(1));
vec<4, T, Q> s = vec<4, T, Q>(lessThan(vec<4, T, Q>(pXYZ, pW), vec<4, T, Q>(0.0)));
pXYZ = pXYZ + (vec<3, T, Q>(s) * T(2) - T(1)) * s.w;
return vec<4, T, Q>(pXYZ, pW);
}
}//namespace gtc
// Classic Perlin noise
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T perlin(vec<2, T, Q> const& Position)
{
vec<4, T, Q> Pi = glm::floor(vec<4, T, Q>(Position.x, Position.y, Position.x, Position.y)) + vec<4, T, Q>(0.0, 0.0, 1.0, 1.0);
vec<4, T, Q> Pf = glm::fract(vec<4, T, Q>(Position.x, Position.y, Position.x, Position.y)) - vec<4, T, Q>(0.0, 0.0, 1.0, 1.0);
Pi = mod(Pi, vec<4, T, Q>(289)); // To avoid truncation effects in permutation
vec<4, T, Q> ix(Pi.x, Pi.z, Pi.x, Pi.z);
vec<4, T, Q> iy(Pi.y, Pi.y, Pi.w, Pi.w);
vec<4, T, Q> fx(Pf.x, Pf.z, Pf.x, Pf.z);
vec<4, T, Q> fy(Pf.y, Pf.y, Pf.w, Pf.w);
vec<4, T, Q> i = detail::permute(detail::permute(ix) + iy);
vec<4, T, Q> gx = static_cast<T>(2) * glm::fract(i / T(41)) - T(1);
vec<4, T, Q> gy = glm::abs(gx) - T(0.5);
vec<4, T, Q> tx = glm::floor(gx + T(0.5));
gx = gx - tx;
vec<2, T, Q> g00(gx.x, gy.x);
vec<2, T, Q> g10(gx.y, gy.y);
vec<2, T, Q> g01(gx.z, gy.z);
vec<2, T, Q> g11(gx.w, gy.w);
vec<4, T, Q> norm = detail::taylorInvSqrt(vec<4, T, Q>(dot(g00, g00), dot(g01, g01), dot(g10, g10), dot(g11, g11)));
g00 *= norm.x;
g01 *= norm.y;
g10 *= norm.z;
g11 *= norm.w;
T n00 = dot(g00, vec<2, T, Q>(fx.x, fy.x));
T n10 = dot(g10, vec<2, T, Q>(fx.y, fy.y));
T n01 = dot(g01, vec<2, T, Q>(fx.z, fy.z));
T n11 = dot(g11, vec<2, T, Q>(fx.w, fy.w));
vec<2, T, Q> fade_xy = detail::fade(vec<2, T, Q>(Pf.x, Pf.y));
vec<2, T, Q> n_x = mix(vec<2, T, Q>(n00, n01), vec<2, T, Q>(n10, n11), fade_xy.x);
T n_xy = mix(n_x.x, n_x.y, fade_xy.y);
return T(2.3) * n_xy;
}
// Classic Perlin noise
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T perlin(vec<3, T, Q> const& Position)
{
vec<3, T, Q> Pi0 = floor(Position); // Integer part for indexing
vec<3, T, Q> Pi1 = Pi0 + T(1); // Integer part + 1
Pi0 = detail::mod289(Pi0);
Pi1 = detail::mod289(Pi1);
vec<3, T, Q> Pf0 = fract(Position); // Fractional part for interpolation
vec<3, T, Q> Pf1 = Pf0 - T(1); // Fractional part - 1.0
vec<4, T, Q> ix(Pi0.x, Pi1.x, Pi0.x, Pi1.x);
vec<4, T, Q> iy = vec<4, T, Q>(vec<2, T, Q>(Pi0.y), vec<2, T, Q>(Pi1.y));
vec<4, T, Q> iz0(Pi0.z);
vec<4, T, Q> iz1(Pi1.z);
vec<4, T, Q> ixy = detail::permute(detail::permute(ix) + iy);
vec<4, T, Q> ixy0 = detail::permute(ixy + iz0);
vec<4, T, Q> ixy1 = detail::permute(ixy + iz1);
vec<4, T, Q> gx0 = ixy0 * T(1.0 / 7.0);
vec<4, T, Q> gy0 = fract(floor(gx0) * T(1.0 / 7.0)) - T(0.5);
gx0 = fract(gx0);
vec<4, T, Q> gz0 = vec<4, T, Q>(0.5) - abs(gx0) - abs(gy0);
vec<4, T, Q> sz0 = step(gz0, vec<4, T, Q>(0.0));
gx0 -= sz0 * (step(T(0), gx0) - T(0.5));
gy0 -= sz0 * (step(T(0), gy0) - T(0.5));
vec<4, T, Q> gx1 = ixy1 * T(1.0 / 7.0);
vec<4, T, Q> gy1 = fract(floor(gx1) * T(1.0 / 7.0)) - T(0.5);
gx1 = fract(gx1);
vec<4, T, Q> gz1 = vec<4, T, Q>(0.5) - abs(gx1) - abs(gy1);
vec<4, T, Q> sz1 = step(gz1, vec<4, T, Q>(0.0));
gx1 -= sz1 * (step(T(0), gx1) - T(0.5));
gy1 -= sz1 * (step(T(0), gy1) - T(0.5));
vec<3, T, Q> g000(gx0.x, gy0.x, gz0.x);
vec<3, T, Q> g100(gx0.y, gy0.y, gz0.y);
vec<3, T, Q> g010(gx0.z, gy0.z, gz0.z);
vec<3, T, Q> g110(gx0.w, gy0.w, gz0.w);
vec<3, T, Q> g001(gx1.x, gy1.x, gz1.x);
vec<3, T, Q> g101(gx1.y, gy1.y, gz1.y);
vec<3, T, Q> g011(gx1.z, gy1.z, gz1.z);
vec<3, T, Q> g111(gx1.w, gy1.w, gz1.w);
vec<4, T, Q> norm0 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g000, g000), dot(g010, g010), dot(g100, g100), dot(g110, g110)));
g000 *= norm0.x;
g010 *= norm0.y;
g100 *= norm0.z;
g110 *= norm0.w;
vec<4, T, Q> norm1 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g001, g001), dot(g011, g011), dot(g101, g101), dot(g111, g111)));
g001 *= norm1.x;
g011 *= norm1.y;
g101 *= norm1.z;
g111 *= norm1.w;
T n000 = dot(g000, Pf0);
T n100 = dot(g100, vec<3, T, Q>(Pf1.x, Pf0.y, Pf0.z));
T n010 = dot(g010, vec<3, T, Q>(Pf0.x, Pf1.y, Pf0.z));
T n110 = dot(g110, vec<3, T, Q>(Pf1.x, Pf1.y, Pf0.z));
T n001 = dot(g001, vec<3, T, Q>(Pf0.x, Pf0.y, Pf1.z));
T n101 = dot(g101, vec<3, T, Q>(Pf1.x, Pf0.y, Pf1.z));
T n011 = dot(g011, vec<3, T, Q>(Pf0.x, Pf1.y, Pf1.z));
T n111 = dot(g111, Pf1);
vec<3, T, Q> fade_xyz = detail::fade(Pf0);
vec<4, T, Q> n_z = mix(vec<4, T, Q>(n000, n100, n010, n110), vec<4, T, Q>(n001, n101, n011, n111), fade_xyz.z);
vec<2, T, Q> n_yz = mix(vec<2, T, Q>(n_z.x, n_z.y), vec<2, T, Q>(n_z.z, n_z.w), fade_xyz.y);
T n_xyz = mix(n_yz.x, n_yz.y, fade_xyz.x);
return T(2.2) * n_xyz;
}
/*
// Classic Perlin noise
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T perlin(vec<3, T, Q> const& P)
{
vec<3, T, Q> Pi0 = floor(P); // Integer part for indexing
vec<3, T, Q> Pi1 = Pi0 + T(1); // Integer part + 1
Pi0 = mod(Pi0, T(289));
Pi1 = mod(Pi1, T(289));
vec<3, T, Q> Pf0 = fract(P); // Fractional part for interpolation
vec<3, T, Q> Pf1 = Pf0 - T(1); // Fractional part - 1.0
vec<4, T, Q> ix(Pi0.x, Pi1.x, Pi0.x, Pi1.x);
vec<4, T, Q> iy(Pi0.y, Pi0.y, Pi1.y, Pi1.y);
vec<4, T, Q> iz0(Pi0.z);
vec<4, T, Q> iz1(Pi1.z);
vec<4, T, Q> ixy = permute(permute(ix) + iy);
vec<4, T, Q> ixy0 = permute(ixy + iz0);
vec<4, T, Q> ixy1 = permute(ixy + iz1);
vec<4, T, Q> gx0 = ixy0 / T(7);
vec<4, T, Q> gy0 = fract(floor(gx0) / T(7)) - T(0.5);
gx0 = fract(gx0);
vec<4, T, Q> gz0 = vec<4, T, Q>(0.5) - abs(gx0) - abs(gy0);
vec<4, T, Q> sz0 = step(gz0, vec<4, T, Q>(0.0));
gx0 -= sz0 * (step(0.0, gx0) - T(0.5));
gy0 -= sz0 * (step(0.0, gy0) - T(0.5));
vec<4, T, Q> gx1 = ixy1 / T(7);
vec<4, T, Q> gy1 = fract(floor(gx1) / T(7)) - T(0.5);
gx1 = fract(gx1);
vec<4, T, Q> gz1 = vec<4, T, Q>(0.5) - abs(gx1) - abs(gy1);
vec<4, T, Q> sz1 = step(gz1, vec<4, T, Q>(0.0));
gx1 -= sz1 * (step(T(0), gx1) - T(0.5));
gy1 -= sz1 * (step(T(0), gy1) - T(0.5));
vec<3, T, Q> g000(gx0.x, gy0.x, gz0.x);
vec<3, T, Q> g100(gx0.y, gy0.y, gz0.y);
vec<3, T, Q> g010(gx0.z, gy0.z, gz0.z);
vec<3, T, Q> g110(gx0.w, gy0.w, gz0.w);
vec<3, T, Q> g001(gx1.x, gy1.x, gz1.x);
vec<3, T, Q> g101(gx1.y, gy1.y, gz1.y);
vec<3, T, Q> g011(gx1.z, gy1.z, gz1.z);
vec<3, T, Q> g111(gx1.w, gy1.w, gz1.w);
vec<4, T, Q> norm0 = taylorInvSqrt(vec<4, T, Q>(dot(g000, g000), dot(g010, g010), dot(g100, g100), dot(g110, g110)));
g000 *= norm0.x;
g010 *= norm0.y;
g100 *= norm0.z;
g110 *= norm0.w;
vec<4, T, Q> norm1 = taylorInvSqrt(vec<4, T, Q>(dot(g001, g001), dot(g011, g011), dot(g101, g101), dot(g111, g111)));
g001 *= norm1.x;
g011 *= norm1.y;
g101 *= norm1.z;
g111 *= norm1.w;
T n000 = dot(g000, Pf0);
T n100 = dot(g100, vec<3, T, Q>(Pf1.x, Pf0.y, Pf0.z));
T n010 = dot(g010, vec<3, T, Q>(Pf0.x, Pf1.y, Pf0.z));
T n110 = dot(g110, vec<3, T, Q>(Pf1.x, Pf1.y, Pf0.z));
T n001 = dot(g001, vec<3, T, Q>(Pf0.x, Pf0.y, Pf1.z));
T n101 = dot(g101, vec<3, T, Q>(Pf1.x, Pf0.y, Pf1.z));
T n011 = dot(g011, vec<3, T, Q>(Pf0.x, Pf1.y, Pf1.z));
T n111 = dot(g111, Pf1);
vec<3, T, Q> fade_xyz = fade(Pf0);
vec<4, T, Q> n_z = mix(vec<4, T, Q>(n000, n100, n010, n110), vec<4, T, Q>(n001, n101, n011, n111), fade_xyz.z);
vec<2, T, Q> n_yz = mix(
vec<2, T, Q>(n_z.x, n_z.y),
vec<2, T, Q>(n_z.z, n_z.w), fade_xyz.y);
T n_xyz = mix(n_yz.x, n_yz.y, fade_xyz.x);
return T(2.2) * n_xyz;
}
*/
// Classic Perlin noise
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T perlin(vec<4, T, Q> const& Position)
{
vec<4, T, Q> Pi0 = floor(Position); // Integer part for indexing
vec<4, T, Q> Pi1 = Pi0 + T(1); // Integer part + 1
Pi0 = mod(Pi0, vec<4, T, Q>(289));
Pi1 = mod(Pi1, vec<4, T, Q>(289));
vec<4, T, Q> Pf0 = fract(Position); // Fractional part for interpolation
vec<4, T, Q> Pf1 = Pf0 - T(1); // Fractional part - 1.0
vec<4, T, Q> ix(Pi0.x, Pi1.x, Pi0.x, Pi1.x);
vec<4, T, Q> iy(Pi0.y, Pi0.y, Pi1.y, Pi1.y);
vec<4, T, Q> iz0(Pi0.z);
vec<4, T, Q> iz1(Pi1.z);
vec<4, T, Q> iw0(Pi0.w);
vec<4, T, Q> iw1(Pi1.w);
vec<4, T, Q> ixy = detail::permute(detail::permute(ix) + iy);
vec<4, T, Q> ixy0 = detail::permute(ixy + iz0);
vec<4, T, Q> ixy1 = detail::permute(ixy + iz1);
vec<4, T, Q> ixy00 = detail::permute(ixy0 + iw0);
vec<4, T, Q> ixy01 = detail::permute(ixy0 + iw1);
vec<4, T, Q> ixy10 = detail::permute(ixy1 + iw0);
vec<4, T, Q> ixy11 = detail::permute(ixy1 + iw1);
vec<4, T, Q> gx00 = ixy00 / T(7);
vec<4, T, Q> gy00 = floor(gx00) / T(7);
vec<4, T, Q> gz00 = floor(gy00) / T(6);
gx00 = fract(gx00) - T(0.5);
gy00 = fract(gy00) - T(0.5);
gz00 = fract(gz00) - T(0.5);
vec<4, T, Q> gw00 = vec<4, T, Q>(0.75) - abs(gx00) - abs(gy00) - abs(gz00);
vec<4, T, Q> sw00 = step(gw00, vec<4, T, Q>(0.0));
gx00 -= sw00 * (step(T(0), gx00) - T(0.5));
gy00 -= sw00 * (step(T(0), gy00) - T(0.5));
vec<4, T, Q> gx01 = ixy01 / T(7);
vec<4, T, Q> gy01 = floor(gx01) / T(7);
vec<4, T, Q> gz01 = floor(gy01) / T(6);
gx01 = fract(gx01) - T(0.5);
gy01 = fract(gy01) - T(0.5);
gz01 = fract(gz01) - T(0.5);
vec<4, T, Q> gw01 = vec<4, T, Q>(0.75) - abs(gx01) - abs(gy01) - abs(gz01);
vec<4, T, Q> sw01 = step(gw01, vec<4, T, Q>(0.0));
gx01 -= sw01 * (step(T(0), gx01) - T(0.5));
gy01 -= sw01 * (step(T(0), gy01) - T(0.5));
vec<4, T, Q> gx10 = ixy10 / T(7);
vec<4, T, Q> gy10 = floor(gx10) / T(7);
vec<4, T, Q> gz10 = floor(gy10) / T(6);
gx10 = fract(gx10) - T(0.5);
gy10 = fract(gy10) - T(0.5);
gz10 = fract(gz10) - T(0.5);
vec<4, T, Q> gw10 = vec<4, T, Q>(0.75) - abs(gx10) - abs(gy10) - abs(gz10);
vec<4, T, Q> sw10 = step(gw10, vec<4, T, Q>(0));
gx10 -= sw10 * (step(T(0), gx10) - T(0.5));
gy10 -= sw10 * (step(T(0), gy10) - T(0.5));
vec<4, T, Q> gx11 = ixy11 / T(7);
vec<4, T, Q> gy11 = floor(gx11) / T(7);
vec<4, T, Q> gz11 = floor(gy11) / T(6);
gx11 = fract(gx11) - T(0.5);
gy11 = fract(gy11) - T(0.5);
gz11 = fract(gz11) - T(0.5);
vec<4, T, Q> gw11 = vec<4, T, Q>(0.75) - abs(gx11) - abs(gy11) - abs(gz11);
vec<4, T, Q> sw11 = step(gw11, vec<4, T, Q>(0.0));
gx11 -= sw11 * (step(T(0), gx11) - T(0.5));
gy11 -= sw11 * (step(T(0), gy11) - T(0.5));
vec<4, T, Q> g0000(gx00.x, gy00.x, gz00.x, gw00.x);
vec<4, T, Q> g1000(gx00.y, gy00.y, gz00.y, gw00.y);
vec<4, T, Q> g0100(gx00.z, gy00.z, gz00.z, gw00.z);
vec<4, T, Q> g1100(gx00.w, gy00.w, gz00.w, gw00.w);
vec<4, T, Q> g0010(gx10.x, gy10.x, gz10.x, gw10.x);
vec<4, T, Q> g1010(gx10.y, gy10.y, gz10.y, gw10.y);
vec<4, T, Q> g0110(gx10.z, gy10.z, gz10.z, gw10.z);
vec<4, T, Q> g1110(gx10.w, gy10.w, gz10.w, gw10.w);
vec<4, T, Q> g0001(gx01.x, gy01.x, gz01.x, gw01.x);
vec<4, T, Q> g1001(gx01.y, gy01.y, gz01.y, gw01.y);
vec<4, T, Q> g0101(gx01.z, gy01.z, gz01.z, gw01.z);
vec<4, T, Q> g1101(gx01.w, gy01.w, gz01.w, gw01.w);
vec<4, T, Q> g0011(gx11.x, gy11.x, gz11.x, gw11.x);
vec<4, T, Q> g1011(gx11.y, gy11.y, gz11.y, gw11.y);
vec<4, T, Q> g0111(gx11.z, gy11.z, gz11.z, gw11.z);
vec<4, T, Q> g1111(gx11.w, gy11.w, gz11.w, gw11.w);
vec<4, T, Q> norm00 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g0000, g0000), dot(g0100, g0100), dot(g1000, g1000), dot(g1100, g1100)));
g0000 *= norm00.x;
g0100 *= norm00.y;
g1000 *= norm00.z;
g1100 *= norm00.w;
vec<4, T, Q> norm01 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g0001, g0001), dot(g0101, g0101), dot(g1001, g1001), dot(g1101, g1101)));
g0001 *= norm01.x;
g0101 *= norm01.y;
g1001 *= norm01.z;
g1101 *= norm01.w;
vec<4, T, Q> norm10 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g0010, g0010), dot(g0110, g0110), dot(g1010, g1010), dot(g1110, g1110)));
g0010 *= norm10.x;
g0110 *= norm10.y;
g1010 *= norm10.z;
g1110 *= norm10.w;
vec<4, T, Q> norm11 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g0011, g0011), dot(g0111, g0111), dot(g1011, g1011), dot(g1111, g1111)));
g0011 *= norm11.x;
g0111 *= norm11.y;
g1011 *= norm11.z;
g1111 *= norm11.w;
T n0000 = dot(g0000, Pf0);
T n1000 = dot(g1000, vec<4, T, Q>(Pf1.x, Pf0.y, Pf0.z, Pf0.w));
T n0100 = dot(g0100, vec<4, T, Q>(Pf0.x, Pf1.y, Pf0.z, Pf0.w));
T n1100 = dot(g1100, vec<4, T, Q>(Pf1.x, Pf1.y, Pf0.z, Pf0.w));
T n0010 = dot(g0010, vec<4, T, Q>(Pf0.x, Pf0.y, Pf1.z, Pf0.w));
T n1010 = dot(g1010, vec<4, T, Q>(Pf1.x, Pf0.y, Pf1.z, Pf0.w));
T n0110 = dot(g0110, vec<4, T, Q>(Pf0.x, Pf1.y, Pf1.z, Pf0.w));
T n1110 = dot(g1110, vec<4, T, Q>(Pf1.x, Pf1.y, Pf1.z, Pf0.w));
T n0001 = dot(g0001, vec<4, T, Q>(Pf0.x, Pf0.y, Pf0.z, Pf1.w));
T n1001 = dot(g1001, vec<4, T, Q>(Pf1.x, Pf0.y, Pf0.z, Pf1.w));
T n0101 = dot(g0101, vec<4, T, Q>(Pf0.x, Pf1.y, Pf0.z, Pf1.w));
T n1101 = dot(g1101, vec<4, T, Q>(Pf1.x, Pf1.y, Pf0.z, Pf1.w));
T n0011 = dot(g0011, vec<4, T, Q>(Pf0.x, Pf0.y, Pf1.z, Pf1.w));
T n1011 = dot(g1011, vec<4, T, Q>(Pf1.x, Pf0.y, Pf1.z, Pf1.w));
T n0111 = dot(g0111, vec<4, T, Q>(Pf0.x, Pf1.y, Pf1.z, Pf1.w));
T n1111 = dot(g1111, Pf1);
vec<4, T, Q> fade_xyzw = detail::fade(Pf0);
vec<4, T, Q> n_0w = mix(vec<4, T, Q>(n0000, n1000, n0100, n1100), vec<4, T, Q>(n0001, n1001, n0101, n1101), fade_xyzw.w);
vec<4, T, Q> n_1w = mix(vec<4, T, Q>(n0010, n1010, n0110, n1110), vec<4, T, Q>(n0011, n1011, n0111, n1111), fade_xyzw.w);
vec<4, T, Q> n_zw = mix(n_0w, n_1w, fade_xyzw.z);
vec<2, T, Q> n_yzw = mix(vec<2, T, Q>(n_zw.x, n_zw.y), vec<2, T, Q>(n_zw.z, n_zw.w), fade_xyzw.y);
T n_xyzw = mix(n_yzw.x, n_yzw.y, fade_xyzw.x);
return T(2.2) * n_xyzw;
}
// Classic Perlin noise, periodic variant
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T perlin(vec<2, T, Q> const& Position, vec<2, T, Q> const& rep)
{
vec<4, T, Q> Pi = floor(vec<4, T, Q>(Position.x, Position.y, Position.x, Position.y)) + vec<4, T, Q>(0.0, 0.0, 1.0, 1.0);
vec<4, T, Q> Pf = fract(vec<4, T, Q>(Position.x, Position.y, Position.x, Position.y)) - vec<4, T, Q>(0.0, 0.0, 1.0, 1.0);
Pi = mod(Pi, vec<4, T, Q>(rep.x, rep.y, rep.x, rep.y)); // To create noise with explicit period
Pi = mod(Pi, vec<4, T, Q>(289)); // To avoid truncation effects in permutation
vec<4, T, Q> ix(Pi.x, Pi.z, Pi.x, Pi.z);
vec<4, T, Q> iy(Pi.y, Pi.y, Pi.w, Pi.w);
vec<4, T, Q> fx(Pf.x, Pf.z, Pf.x, Pf.z);
vec<4, T, Q> fy(Pf.y, Pf.y, Pf.w, Pf.w);
vec<4, T, Q> i = detail::permute(detail::permute(ix) + iy);
vec<4, T, Q> gx = static_cast<T>(2) * fract(i / T(41)) - T(1);
vec<4, T, Q> gy = abs(gx) - T(0.5);
vec<4, T, Q> tx = floor(gx + T(0.5));
gx = gx - tx;
vec<2, T, Q> g00(gx.x, gy.x);
vec<2, T, Q> g10(gx.y, gy.y);
vec<2, T, Q> g01(gx.z, gy.z);
vec<2, T, Q> g11(gx.w, gy.w);
vec<4, T, Q> norm = detail::taylorInvSqrt(vec<4, T, Q>(dot(g00, g00), dot(g01, g01), dot(g10, g10), dot(g11, g11)));
g00 *= norm.x;
g01 *= norm.y;
g10 *= norm.z;
g11 *= norm.w;
T n00 = dot(g00, vec<2, T, Q>(fx.x, fy.x));
T n10 = dot(g10, vec<2, T, Q>(fx.y, fy.y));
T n01 = dot(g01, vec<2, T, Q>(fx.z, fy.z));
T n11 = dot(g11, vec<2, T, Q>(fx.w, fy.w));
vec<2, T, Q> fade_xy = detail::fade(vec<2, T, Q>(Pf.x, Pf.y));
vec<2, T, Q> n_x = mix(vec<2, T, Q>(n00, n01), vec<2, T, Q>(n10, n11), fade_xy.x);
T n_xy = mix(n_x.x, n_x.y, fade_xy.y);
return T(2.3) * n_xy;
}
// Classic Perlin noise, periodic variant
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T perlin(vec<3, T, Q> const& Position, vec<3, T, Q> const& rep)
{
vec<3, T, Q> Pi0 = mod(floor(Position), rep); // Integer part, modulo period
vec<3, T, Q> Pi1 = mod(Pi0 + vec<3, T, Q>(T(1)), rep); // Integer part + 1, mod period
Pi0 = mod(Pi0, vec<3, T, Q>(289));
Pi1 = mod(Pi1, vec<3, T, Q>(289));
vec<3, T, Q> Pf0 = fract(Position); // Fractional part for interpolation
vec<3, T, Q> Pf1 = Pf0 - vec<3, T, Q>(T(1)); // Fractional part - 1.0
vec<4, T, Q> ix = vec<4, T, Q>(Pi0.x, Pi1.x, Pi0.x, Pi1.x);
vec<4, T, Q> iy = vec<4, T, Q>(Pi0.y, Pi0.y, Pi1.y, Pi1.y);
vec<4, T, Q> iz0(Pi0.z);
vec<4, T, Q> iz1(Pi1.z);
vec<4, T, Q> ixy = detail::permute(detail::permute(ix) + iy);
vec<4, T, Q> ixy0 = detail::permute(ixy + iz0);
vec<4, T, Q> ixy1 = detail::permute(ixy + iz1);
vec<4, T, Q> gx0 = ixy0 / T(7);
vec<4, T, Q> gy0 = fract(floor(gx0) / T(7)) - T(0.5);
gx0 = fract(gx0);
vec<4, T, Q> gz0 = vec<4, T, Q>(0.5) - abs(gx0) - abs(gy0);
vec<4, T, Q> sz0 = step(gz0, vec<4, T, Q>(0));
gx0 -= sz0 * (step(T(0), gx0) - T(0.5));
gy0 -= sz0 * (step(T(0), gy0) - T(0.5));
vec<4, T, Q> gx1 = ixy1 / T(7);
vec<4, T, Q> gy1 = fract(floor(gx1) / T(7)) - T(0.5);
gx1 = fract(gx1);
vec<4, T, Q> gz1 = vec<4, T, Q>(0.5) - abs(gx1) - abs(gy1);
vec<4, T, Q> sz1 = step(gz1, vec<4, T, Q>(T(0)));
gx1 -= sz1 * (step(T(0), gx1) - T(0.5));
gy1 -= sz1 * (step(T(0), gy1) - T(0.5));
vec<3, T, Q> g000 = vec<3, T, Q>(gx0.x, gy0.x, gz0.x);
vec<3, T, Q> g100 = vec<3, T, Q>(gx0.y, gy0.y, gz0.y);
vec<3, T, Q> g010 = vec<3, T, Q>(gx0.z, gy0.z, gz0.z);
vec<3, T, Q> g110 = vec<3, T, Q>(gx0.w, gy0.w, gz0.w);
vec<3, T, Q> g001 = vec<3, T, Q>(gx1.x, gy1.x, gz1.x);
vec<3, T, Q> g101 = vec<3, T, Q>(gx1.y, gy1.y, gz1.y);
vec<3, T, Q> g011 = vec<3, T, Q>(gx1.z, gy1.z, gz1.z);
vec<3, T, Q> g111 = vec<3, T, Q>(gx1.w, gy1.w, gz1.w);
vec<4, T, Q> norm0 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g000, g000), dot(g010, g010), dot(g100, g100), dot(g110, g110)));
g000 *= norm0.x;
g010 *= norm0.y;
g100 *= norm0.z;
g110 *= norm0.w;
vec<4, T, Q> norm1 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g001, g001), dot(g011, g011), dot(g101, g101), dot(g111, g111)));
g001 *= norm1.x;
g011 *= norm1.y;
g101 *= norm1.z;
g111 *= norm1.w;
T n000 = dot(g000, Pf0);
T n100 = dot(g100, vec<3, T, Q>(Pf1.x, Pf0.y, Pf0.z));
T n010 = dot(g010, vec<3, T, Q>(Pf0.x, Pf1.y, Pf0.z));
T n110 = dot(g110, vec<3, T, Q>(Pf1.x, Pf1.y, Pf0.z));
T n001 = dot(g001, vec<3, T, Q>(Pf0.x, Pf0.y, Pf1.z));
T n101 = dot(g101, vec<3, T, Q>(Pf1.x, Pf0.y, Pf1.z));
T n011 = dot(g011, vec<3, T, Q>(Pf0.x, Pf1.y, Pf1.z));
T n111 = dot(g111, Pf1);
vec<3, T, Q> fade_xyz = detail::fade(Pf0);
vec<4, T, Q> n_z = mix(vec<4, T, Q>(n000, n100, n010, n110), vec<4, T, Q>(n001, n101, n011, n111), fade_xyz.z);
vec<2, T, Q> n_yz = mix(vec<2, T, Q>(n_z.x, n_z.y), vec<2, T, Q>(n_z.z, n_z.w), fade_xyz.y);
T n_xyz = mix(n_yz.x, n_yz.y, fade_xyz.x);
return T(2.2) * n_xyz;
}
// Classic Perlin noise, periodic version
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T perlin(vec<4, T, Q> const& Position, vec<4, T, Q> const& rep)
{
vec<4, T, Q> Pi0 = mod(floor(Position), rep); // Integer part modulo rep
vec<4, T, Q> Pi1 = mod(Pi0 + T(1), rep); // Integer part + 1 mod rep
vec<4, T, Q> Pf0 = fract(Position); // Fractional part for interpolation
vec<4, T, Q> Pf1 = Pf0 - T(1); // Fractional part - 1.0
vec<4, T, Q> ix = vec<4, T, Q>(Pi0.x, Pi1.x, Pi0.x, Pi1.x);
vec<4, T, Q> iy = vec<4, T, Q>(Pi0.y, Pi0.y, Pi1.y, Pi1.y);
vec<4, T, Q> iz0(Pi0.z);
vec<4, T, Q> iz1(Pi1.z);
vec<4, T, Q> iw0(Pi0.w);
vec<4, T, Q> iw1(Pi1.w);
vec<4, T, Q> ixy = detail::permute(detail::permute(ix) + iy);
vec<4, T, Q> ixy0 = detail::permute(ixy + iz0);
vec<4, T, Q> ixy1 = detail::permute(ixy + iz1);
vec<4, T, Q> ixy00 = detail::permute(ixy0 + iw0);
vec<4, T, Q> ixy01 = detail::permute(ixy0 + iw1);
vec<4, T, Q> ixy10 = detail::permute(ixy1 + iw0);
vec<4, T, Q> ixy11 = detail::permute(ixy1 + iw1);
vec<4, T, Q> gx00 = ixy00 / T(7);
vec<4, T, Q> gy00 = floor(gx00) / T(7);
vec<4, T, Q> gz00 = floor(gy00) / T(6);
gx00 = fract(gx00) - T(0.5);
gy00 = fract(gy00) - T(0.5);
gz00 = fract(gz00) - T(0.5);
vec<4, T, Q> gw00 = vec<4, T, Q>(0.75) - abs(gx00) - abs(gy00) - abs(gz00);
vec<4, T, Q> sw00 = step(gw00, vec<4, T, Q>(0));
gx00 -= sw00 * (step(T(0), gx00) - T(0.5));
gy00 -= sw00 * (step(T(0), gy00) - T(0.5));
vec<4, T, Q> gx01 = ixy01 / T(7);
vec<4, T, Q> gy01 = floor(gx01) / T(7);
vec<4, T, Q> gz01 = floor(gy01) / T(6);
gx01 = fract(gx01) - T(0.5);
gy01 = fract(gy01) - T(0.5);
gz01 = fract(gz01) - T(0.5);
vec<4, T, Q> gw01 = vec<4, T, Q>(0.75) - abs(gx01) - abs(gy01) - abs(gz01);
vec<4, T, Q> sw01 = step(gw01, vec<4, T, Q>(0.0));
gx01 -= sw01 * (step(T(0), gx01) - T(0.5));
gy01 -= sw01 * (step(T(0), gy01) - T(0.5));
vec<4, T, Q> gx10 = ixy10 / T(7);
vec<4, T, Q> gy10 = floor(gx10) / T(7);
vec<4, T, Q> gz10 = floor(gy10) / T(6);
gx10 = fract(gx10) - T(0.5);
gy10 = fract(gy10) - T(0.5);
gz10 = fract(gz10) - T(0.5);
vec<4, T, Q> gw10 = vec<4, T, Q>(0.75) - abs(gx10) - abs(gy10) - abs(gz10);
vec<4, T, Q> sw10 = step(gw10, vec<4, T, Q>(0.0));
gx10 -= sw10 * (step(T(0), gx10) - T(0.5));
gy10 -= sw10 * (step(T(0), gy10) - T(0.5));
vec<4, T, Q> gx11 = ixy11 / T(7);
vec<4, T, Q> gy11 = floor(gx11) / T(7);
vec<4, T, Q> gz11 = floor(gy11) / T(6);
gx11 = fract(gx11) - T(0.5);
gy11 = fract(gy11) - T(0.5);
gz11 = fract(gz11) - T(0.5);
vec<4, T, Q> gw11 = vec<4, T, Q>(0.75) - abs(gx11) - abs(gy11) - abs(gz11);
vec<4, T, Q> sw11 = step(gw11, vec<4, T, Q>(T(0)));
gx11 -= sw11 * (step(T(0), gx11) - T(0.5));
gy11 -= sw11 * (step(T(0), gy11) - T(0.5));
vec<4, T, Q> g0000(gx00.x, gy00.x, gz00.x, gw00.x);
vec<4, T, Q> g1000(gx00.y, gy00.y, gz00.y, gw00.y);
vec<4, T, Q> g0100(gx00.z, gy00.z, gz00.z, gw00.z);
vec<4, T, Q> g1100(gx00.w, gy00.w, gz00.w, gw00.w);
vec<4, T, Q> g0010(gx10.x, gy10.x, gz10.x, gw10.x);
vec<4, T, Q> g1010(gx10.y, gy10.y, gz10.y, gw10.y);
vec<4, T, Q> g0110(gx10.z, gy10.z, gz10.z, gw10.z);
vec<4, T, Q> g1110(gx10.w, gy10.w, gz10.w, gw10.w);
vec<4, T, Q> g0001(gx01.x, gy01.x, gz01.x, gw01.x);
vec<4, T, Q> g1001(gx01.y, gy01.y, gz01.y, gw01.y);
vec<4, T, Q> g0101(gx01.z, gy01.z, gz01.z, gw01.z);
vec<4, T, Q> g1101(gx01.w, gy01.w, gz01.w, gw01.w);
vec<4, T, Q> g0011(gx11.x, gy11.x, gz11.x, gw11.x);
vec<4, T, Q> g1011(gx11.y, gy11.y, gz11.y, gw11.y);
vec<4, T, Q> g0111(gx11.z, gy11.z, gz11.z, gw11.z);
vec<4, T, Q> g1111(gx11.w, gy11.w, gz11.w, gw11.w);
vec<4, T, Q> norm00 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g0000, g0000), dot(g0100, g0100), dot(g1000, g1000), dot(g1100, g1100)));
g0000 *= norm00.x;
g0100 *= norm00.y;
g1000 *= norm00.z;
g1100 *= norm00.w;
vec<4, T, Q> norm01 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g0001, g0001), dot(g0101, g0101), dot(g1001, g1001), dot(g1101, g1101)));
g0001 *= norm01.x;
g0101 *= norm01.y;
g1001 *= norm01.z;
g1101 *= norm01.w;
vec<4, T, Q> norm10 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g0010, g0010), dot(g0110, g0110), dot(g1010, g1010), dot(g1110, g1110)));
g0010 *= norm10.x;
g0110 *= norm10.y;
g1010 *= norm10.z;
g1110 *= norm10.w;
vec<4, T, Q> norm11 = detail::taylorInvSqrt(vec<4, T, Q>(dot(g0011, g0011), dot(g0111, g0111), dot(g1011, g1011), dot(g1111, g1111)));
g0011 *= norm11.x;
g0111 *= norm11.y;
g1011 *= norm11.z;
g1111 *= norm11.w;
T n0000 = dot(g0000, Pf0);
T n1000 = dot(g1000, vec<4, T, Q>(Pf1.x, Pf0.y, Pf0.z, Pf0.w));
T n0100 = dot(g0100, vec<4, T, Q>(Pf0.x, Pf1.y, Pf0.z, Pf0.w));
T n1100 = dot(g1100, vec<4, T, Q>(Pf1.x, Pf1.y, Pf0.z, Pf0.w));
T n0010 = dot(g0010, vec<4, T, Q>(Pf0.x, Pf0.y, Pf1.z, Pf0.w));
T n1010 = dot(g1010, vec<4, T, Q>(Pf1.x, Pf0.y, Pf1.z, Pf0.w));
T n0110 = dot(g0110, vec<4, T, Q>(Pf0.x, Pf1.y, Pf1.z, Pf0.w));
T n1110 = dot(g1110, vec<4, T, Q>(Pf1.x, Pf1.y, Pf1.z, Pf0.w));
T n0001 = dot(g0001, vec<4, T, Q>(Pf0.x, Pf0.y, Pf0.z, Pf1.w));
T n1001 = dot(g1001, vec<4, T, Q>(Pf1.x, Pf0.y, Pf0.z, Pf1.w));
T n0101 = dot(g0101, vec<4, T, Q>(Pf0.x, Pf1.y, Pf0.z, Pf1.w));
T n1101 = dot(g1101, vec<4, T, Q>(Pf1.x, Pf1.y, Pf0.z, Pf1.w));
T n0011 = dot(g0011, vec<4, T, Q>(Pf0.x, Pf0.y, Pf1.z, Pf1.w));
T n1011 = dot(g1011, vec<4, T, Q>(Pf1.x, Pf0.y, Pf1.z, Pf1.w));
T n0111 = dot(g0111, vec<4, T, Q>(Pf0.x, Pf1.y, Pf1.z, Pf1.w));
T n1111 = dot(g1111, Pf1);
vec<4, T, Q> fade_xyzw = detail::fade(Pf0);
vec<4, T, Q> n_0w = mix(vec<4, T, Q>(n0000, n1000, n0100, n1100), vec<4, T, Q>(n0001, n1001, n0101, n1101), fade_xyzw.w);
vec<4, T, Q> n_1w = mix(vec<4, T, Q>(n0010, n1010, n0110, n1110), vec<4, T, Q>(n0011, n1011, n0111, n1111), fade_xyzw.w);
vec<4, T, Q> n_zw = mix(n_0w, n_1w, fade_xyzw.z);
vec<2, T, Q> n_yzw = mix(vec<2, T, Q>(n_zw.x, n_zw.y), vec<2, T, Q>(n_zw.z, n_zw.w), fade_xyzw.y);
T n_xyzw = mix(n_yzw.x, n_yzw.y, fade_xyzw.x);
return T(2.2) * n_xyzw;
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T simplex(glm::vec<2, T, Q> const& v)
{
vec<4, T, Q> const C = vec<4, T, Q>(
T( 0.211324865405187), // (3.0 - sqrt(3.0)) / 6.0
T( 0.366025403784439), // 0.5 * (sqrt(3.0) - 1.0)
T(-0.577350269189626), // -1.0 + 2.0 * C.x
T( 0.024390243902439)); // 1.0 / 41.0
// First corner
vec<2, T, Q> i = floor(v + dot(v, vec<2, T, Q>(C[1])));
vec<2, T, Q> x0 = v - i + dot(i, vec<2, T, Q>(C[0]));
// Other corners
//i1.x = step( x0.y, x0.x ); // x0.x > x0.y ? 1.0 : 0.0
//i1.y = 1.0 - i1.x;
vec<2, T, Q> i1 = (x0.x > x0.y) ? vec<2, T, Q>(1, 0) : vec<2, T, Q>(0, 1);
// x0 = x0 - 0.0 + 0.0 * C.xx ;
// x1 = x0 - i1 + 1.0 * C.xx ;
// x2 = x0 - 1.0 + 2.0 * C.xx ;
vec<4, T, Q> x12 = vec<4, T, Q>(x0.x, x0.y, x0.x, x0.y) + vec<4, T, Q>(C.x, C.x, C.z, C.z);
x12 = vec<4, T, Q>(vec<2, T, Q>(x12) - i1, x12.z, x12.w);
// Permutations
i = mod(i, vec<2, T, Q>(289)); // Avoid truncation effects in permutation
vec<3, T, Q> p = detail::permute(
detail::permute(i.y + vec<3, T, Q>(T(0), i1.y, T(1)))
+ i.x + vec<3, T, Q>(T(0), i1.x, T(1)));
vec<3, T, Q> m = max(vec<3, T, Q>(0.5) - vec<3, T, Q>(
dot(x0, x0),
dot(vec<2, T, Q>(x12.x, x12.y), vec<2, T, Q>(x12.x, x12.y)),
dot(vec<2, T, Q>(x12.z, x12.w), vec<2, T, Q>(x12.z, x12.w))), vec<3, T, Q>(0));
m = m * m ;
m = m * m ;
// Gradients: 41 points uniformly over a line, mapped onto a diamond.
// The ring size 17*17 = 289 is close to a multiple of 41 (41*7 = 287)
vec<3, T, Q> x = static_cast<T>(2) * fract(p * C.w) - T(1);
vec<3, T, Q> h = abs(x) - T(0.5);
vec<3, T, Q> ox = floor(x + T(0.5));
vec<3, T, Q> a0 = x - ox;
// Normalise gradients implicitly by scaling m
// Inlined for speed: m *= taylorInvSqrt( a0*a0 + h*h );
m *= static_cast<T>(1.79284291400159) - T(0.85373472095314) * (a0 * a0 + h * h);
// Compute final noise value at P
vec<3, T, Q> g;
g.x = a0.x * x0.x + h.x * x0.y;
//g.yz = a0.yz * x12.xz + h.yz * x12.yw;
g.y = a0.y * x12.x + h.y * x12.y;
g.z = a0.z * x12.z + h.z * x12.w;
return T(130) * dot(m, g);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T simplex(vec<3, T, Q> const& v)
{
vec<2, T, Q> const C(1.0 / 6.0, 1.0 / 3.0);
vec<4, T, Q> const D(0.0, 0.5, 1.0, 2.0);
// First corner
vec<3, T, Q> i(floor(v + dot(v, vec<3, T, Q>(C.y))));
vec<3, T, Q> x0(v - i + dot(i, vec<3, T, Q>(C.x)));
// Other corners
vec<3, T, Q> g(step(vec<3, T, Q>(x0.y, x0.z, x0.x), x0));
vec<3, T, Q> l(T(1) - g);
vec<3, T, Q> i1(min(g, vec<3, T, Q>(l.z, l.x, l.y)));
vec<3, T, Q> i2(max(g, vec<3, T, Q>(l.z, l.x, l.y)));
// x0 = x0 - 0.0 + 0.0 * C.xxx;
// x1 = x0 - i1 + 1.0 * C.xxx;
// x2 = x0 - i2 + 2.0 * C.xxx;
// x3 = x0 - 1.0 + 3.0 * C.xxx;
vec<3, T, Q> x1(x0 - i1 + C.x);
vec<3, T, Q> x2(x0 - i2 + C.y); // 2.0*C.x = 1/3 = C.y
vec<3, T, Q> x3(x0 - D.y); // -1.0+3.0*C.x = -0.5 = -D.y
// Permutations
i = detail::mod289(i);
vec<4, T, Q> p(detail::permute(detail::permute(detail::permute(
i.z + vec<4, T, Q>(T(0), i1.z, i2.z, T(1))) +
i.y + vec<4, T, Q>(T(0), i1.y, i2.y, T(1))) +
i.x + vec<4, T, Q>(T(0), i1.x, i2.x, T(1))));
// Gradients: 7x7 points over a square, mapped onto an octahedron.
// The ring size 17*17 = 289 is close to a multiple of 49 (49*6 = 294)
T n_ = static_cast<T>(0.142857142857); // 1.0/7.0
vec<3, T, Q> ns(n_ * vec<3, T, Q>(D.w, D.y, D.z) - vec<3, T, Q>(D.x, D.z, D.x));
vec<4, T, Q> j(p - T(49) * floor(p * ns.z * ns.z)); // mod(p,7*7)
vec<4, T, Q> x_(floor(j * ns.z));
vec<4, T, Q> y_(floor(j - T(7) * x_)); // mod(j,N)
vec<4, T, Q> x(x_ * ns.x + ns.y);
vec<4, T, Q> y(y_ * ns.x + ns.y);
vec<4, T, Q> h(T(1) - abs(x) - abs(y));
vec<4, T, Q> b0(x.x, x.y, y.x, y.y);
vec<4, T, Q> b1(x.z, x.w, y.z, y.w);
// vec4 s0 = vec4(lessThan(b0,0.0))*2.0 - 1.0;
// vec4 s1 = vec4(lessThan(b1,0.0))*2.0 - 1.0;
vec<4, T, Q> s0(floor(b0) * T(2) + T(1));
vec<4, T, Q> s1(floor(b1) * T(2) + T(1));
vec<4, T, Q> sh(-step(h, vec<4, T, Q>(0.0)));
vec<4, T, Q> a0 = vec<4, T, Q>(b0.x, b0.z, b0.y, b0.w) + vec<4, T, Q>(s0.x, s0.z, s0.y, s0.w) * vec<4, T, Q>(sh.x, sh.x, sh.y, sh.y);
vec<4, T, Q> a1 = vec<4, T, Q>(b1.x, b1.z, b1.y, b1.w) + vec<4, T, Q>(s1.x, s1.z, s1.y, s1.w) * vec<4, T, Q>(sh.z, sh.z, sh.w, sh.w);
vec<3, T, Q> p0(a0.x, a0.y, h.x);
vec<3, T, Q> p1(a0.z, a0.w, h.y);
vec<3, T, Q> p2(a1.x, a1.y, h.z);
vec<3, T, Q> p3(a1.z, a1.w, h.w);
// Normalise gradients
vec<4, T, Q> norm = detail::taylorInvSqrt(vec<4, T, Q>(dot(p0, p0), dot(p1, p1), dot(p2, p2), dot(p3, p3)));
p0 *= norm.x;
p1 *= norm.y;
p2 *= norm.z;
p3 *= norm.w;
// Mix final noise value
vec<4, T, Q> m = max(T(0.6) - vec<4, T, Q>(dot(x0, x0), dot(x1, x1), dot(x2, x2), dot(x3, x3)), vec<4, T, Q>(0));
m = m * m;
return T(42) * dot(m * m, vec<4, T, Q>(dot(p0, x0), dot(p1, x1), dot(p2, x2), dot(p3, x3)));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T simplex(vec<4, T, Q> const& v)
{
vec<4, T, Q> const C(
0.138196601125011, // (5 - sqrt(5))/20 G4
0.276393202250021, // 2 * G4
0.414589803375032, // 3 * G4
-0.447213595499958); // -1 + 4 * G4
// (sqrt(5) - 1)/4 = F4, used once below
T const F4 = static_cast<T>(0.309016994374947451);
// First corner
vec<4, T, Q> i = floor(v + dot(v, vec<4, T, Q>(F4)));
vec<4, T, Q> x0 = v - i + dot(i, vec<4, T, Q>(C.x));
// Other corners
// Rank sorting originally contributed by Bill Licea-Kane, AMD (formerly ATI)
vec<4, T, Q> i0;
vec<3, T, Q> isX = step(vec<3, T, Q>(x0.y, x0.z, x0.w), vec<3, T, Q>(x0.x));
vec<3, T, Q> isYZ = step(vec<3, T, Q>(x0.z, x0.w, x0.w), vec<3, T, Q>(x0.y, x0.y, x0.z));
// i0.x = dot(isX, vec3(1.0));
//i0.x = isX.x + isX.y + isX.z;
//i0.yzw = static_cast<T>(1) - isX;
i0 = vec<4, T, Q>(isX.x + isX.y + isX.z, T(1) - isX);
// i0.y += dot(isYZ.xy, vec2(1.0));
i0.y += isYZ.x + isYZ.y;
//i0.zw += 1.0 - vec<2, T, Q>(isYZ.x, isYZ.y);
i0.z += static_cast<T>(1) - isYZ.x;
i0.w += static_cast<T>(1) - isYZ.y;
i0.z += isYZ.z;
i0.w += static_cast<T>(1) - isYZ.z;
// i0 now contains the unique values 0,1,2,3 in each channel
vec<4, T, Q> i3 = clamp(i0, T(0), T(1));
vec<4, T, Q> i2 = clamp(i0 - T(1), T(0), T(1));
vec<4, T, Q> i1 = clamp(i0 - T(2), T(0), T(1));
// x0 = x0 - 0.0 + 0.0 * C.xxxx
// x1 = x0 - i1 + 0.0 * C.xxxx
// x2 = x0 - i2 + 0.0 * C.xxxx
// x3 = x0 - i3 + 0.0 * C.xxxx
// x4 = x0 - 1.0 + 4.0 * C.xxxx
vec<4, T, Q> x1 = x0 - i1 + C.x;
vec<4, T, Q> x2 = x0 - i2 + C.y;
vec<4, T, Q> x3 = x0 - i3 + C.z;
vec<4, T, Q> x4 = x0 + C.w;
// Permutations
i = mod(i, vec<4, T, Q>(289));
T j0 = detail::permute(detail::permute(detail::permute(detail::permute(i.w) + i.z) + i.y) + i.x);
vec<4, T, Q> j1 = detail::permute(detail::permute(detail::permute(detail::permute(
i.w + vec<4, T, Q>(i1.w, i2.w, i3.w, T(1))) +
i.z + vec<4, T, Q>(i1.z, i2.z, i3.z, T(1))) +
i.y + vec<4, T, Q>(i1.y, i2.y, i3.y, T(1))) +
i.x + vec<4, T, Q>(i1.x, i2.x, i3.x, T(1)));
// Gradients: 7x7x6 points over a cube, mapped onto a 4-cross polytope
// 7*7*6 = 294, which is close to the ring size 17*17 = 289.
vec<4, T, Q> ip = vec<4, T, Q>(T(1) / T(294), T(1) / T(49), T(1) / T(7), T(0));
vec<4, T, Q> p0 = gtc::grad4(j0, ip);
vec<4, T, Q> p1 = gtc::grad4(j1.x, ip);
vec<4, T, Q> p2 = gtc::grad4(j1.y, ip);
vec<4, T, Q> p3 = gtc::grad4(j1.z, ip);
vec<4, T, Q> p4 = gtc::grad4(j1.w, ip);
// Normalise gradients
vec<4, T, Q> norm = detail::taylorInvSqrt(vec<4, T, Q>(dot(p0, p0), dot(p1, p1), dot(p2, p2), dot(p3, p3)));
p0 *= norm.x;
p1 *= norm.y;
p2 *= norm.z;
p3 *= norm.w;
p4 *= detail::taylorInvSqrt(dot(p4, p4));
// Mix contributions from the five corners
vec<3, T, Q> m0 = max(T(0.6) - vec<3, T, Q>(dot(x0, x0), dot(x1, x1), dot(x2, x2)), vec<3, T, Q>(0));
vec<2, T, Q> m1 = max(T(0.6) - vec<2, T, Q>(dot(x3, x3), dot(x4, x4) ), vec<2, T, Q>(0));
m0 = m0 * m0;
m1 = m1 * m1;
return T(49) *
(dot(m0 * m0, vec<3, T, Q>(dot(p0, x0), dot(p1, x1), dot(p2, x2))) +
dot(m1 * m1, vec<2, T, Q>(dot(p3, x3), dot(p4, x4))));
}
}//namespace glm

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/// @ref gtc_packing
/// @file glm/gtc/packing.hpp
///
/// @see core (dependence)
///
/// @defgroup gtc_packing GLM_GTC_packing
/// @ingroup gtc
///
/// Include <glm/gtc/packing.hpp> to use the features of this extension.
///
/// This extension provides a set of function to convert vertors to packed
/// formats.
#pragma once
// Dependency:
#include "type_precision.hpp"
#include "../ext/vector_packing.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_packing extension included")
#endif
namespace glm
{
/// @addtogroup gtc_packing
/// @{
/// First, converts the normalized floating-point value v into a 8-bit integer value.
/// Then, the results are packed into the returned 8-bit unsigned integer.
///
/// The conversion for component c of v to fixed point is done as follows:
/// packUnorm1x8: round(clamp(c, 0, +1) * 255.0)
///
/// @see gtc_packing
/// @see uint16 packUnorm2x8(vec2 const& v)
/// @see uint32 packUnorm4x8(vec4 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packUnorm4x8.xml">GLSL packUnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint8 packUnorm1x8(float v);
/// Convert a single 8-bit integer to a normalized floating-point value.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackUnorm4x8: f / 255.0
///
/// @see gtc_packing
/// @see vec2 unpackUnorm2x8(uint16 p)
/// @see vec4 unpackUnorm4x8(uint32 p)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackUnorm4x8.xml">GLSL unpackUnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL float unpackUnorm1x8(uint8 p);
/// First, converts each component of the normalized floating-point value v into 8-bit integer values.
/// Then, the results are packed into the returned 16-bit unsigned integer.
///
/// The conversion for component c of v to fixed point is done as follows:
/// packUnorm2x8: round(clamp(c, 0, +1) * 255.0)
///
/// The first component of the vector will be written to the least significant bits of the output;
/// the last component will be written to the most significant bits.
///
/// @see gtc_packing
/// @see uint8 packUnorm1x8(float const& v)
/// @see uint32 packUnorm4x8(vec4 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packUnorm4x8.xml">GLSL packUnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint16 packUnorm2x8(vec2 const& v);
/// First, unpacks a single 16-bit unsigned integer p into a pair of 8-bit unsigned integers.
/// Then, each component is converted to a normalized floating-point value to generate the returned two-component vector.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackUnorm4x8: f / 255.0
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// @see gtc_packing
/// @see float unpackUnorm1x8(uint8 v)
/// @see vec4 unpackUnorm4x8(uint32 p)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackUnorm4x8.xml">GLSL unpackUnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL vec2 unpackUnorm2x8(uint16 p);
/// First, converts the normalized floating-point value v into 8-bit integer value.
/// Then, the results are packed into the returned 8-bit unsigned integer.
///
/// The conversion to fixed point is done as follows:
/// packSnorm1x8: round(clamp(s, -1, +1) * 127.0)
///
/// @see gtc_packing
/// @see uint16 packSnorm2x8(vec2 const& v)
/// @see uint32 packSnorm4x8(vec4 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packSnorm4x8.xml">GLSL packSnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint8 packSnorm1x8(float s);
/// First, unpacks a single 8-bit unsigned integer p into a single 8-bit signed integers.
/// Then, the value is converted to a normalized floating-point value to generate the returned scalar.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackSnorm1x8: clamp(f / 127.0, -1, +1)
///
/// @see gtc_packing
/// @see vec2 unpackSnorm2x8(uint16 p)
/// @see vec4 unpackSnorm4x8(uint32 p)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackSnorm4x8.xml">GLSL unpackSnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL float unpackSnorm1x8(uint8 p);
/// First, converts each component of the normalized floating-point value v into 8-bit integer values.
/// Then, the results are packed into the returned 16-bit unsigned integer.
///
/// The conversion for component c of v to fixed point is done as follows:
/// packSnorm2x8: round(clamp(c, -1, +1) * 127.0)
///
/// The first component of the vector will be written to the least significant bits of the output;
/// the last component will be written to the most significant bits.
///
/// @see gtc_packing
/// @see uint8 packSnorm1x8(float const& v)
/// @see uint32 packSnorm4x8(vec4 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packSnorm4x8.xml">GLSL packSnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint16 packSnorm2x8(vec2 const& v);
/// First, unpacks a single 16-bit unsigned integer p into a pair of 8-bit signed integers.
/// Then, each component is converted to a normalized floating-point value to generate the returned two-component vector.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackSnorm2x8: clamp(f / 127.0, -1, +1)
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// @see gtc_packing
/// @see float unpackSnorm1x8(uint8 p)
/// @see vec4 unpackSnorm4x8(uint32 p)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackSnorm4x8.xml">GLSL unpackSnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL vec2 unpackSnorm2x8(uint16 p);
/// First, converts the normalized floating-point value v into a 16-bit integer value.
/// Then, the results are packed into the returned 16-bit unsigned integer.
///
/// The conversion for component c of v to fixed point is done as follows:
/// packUnorm1x16: round(clamp(c, 0, +1) * 65535.0)
///
/// @see gtc_packing
/// @see uint16 packSnorm1x16(float const& v)
/// @see uint64 packSnorm4x16(vec4 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packUnorm4x8.xml">GLSL packUnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint16 packUnorm1x16(float v);
/// First, unpacks a single 16-bit unsigned integer p into a of 16-bit unsigned integers.
/// Then, the value is converted to a normalized floating-point value to generate the returned scalar.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackUnorm1x16: f / 65535.0
///
/// @see gtc_packing
/// @see vec2 unpackUnorm2x16(uint32 p)
/// @see vec4 unpackUnorm4x16(uint64 p)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackUnorm2x16.xml">GLSL unpackUnorm2x16 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL float unpackUnorm1x16(uint16 p);
/// First, converts each component of the normalized floating-point value v into 16-bit integer values.
/// Then, the results are packed into the returned 64-bit unsigned integer.
///
/// The conversion for component c of v to fixed point is done as follows:
/// packUnorm4x16: round(clamp(c, 0, +1) * 65535.0)
///
/// The first component of the vector will be written to the least significant bits of the output;
/// the last component will be written to the most significant bits.
///
/// @see gtc_packing
/// @see uint16 packUnorm1x16(float const& v)
/// @see uint32 packUnorm2x16(vec2 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packUnorm4x8.xml">GLSL packUnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint64 packUnorm4x16(vec4 const& v);
/// First, unpacks a single 64-bit unsigned integer p into four 16-bit unsigned integers.
/// Then, each component is converted to a normalized floating-point value to generate the returned four-component vector.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackUnormx4x16: f / 65535.0
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// @see gtc_packing
/// @see float unpackUnorm1x16(uint16 p)
/// @see vec2 unpackUnorm2x16(uint32 p)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackUnorm2x16.xml">GLSL unpackUnorm2x16 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL vec4 unpackUnorm4x16(uint64 p);
/// First, converts the normalized floating-point value v into 16-bit integer value.
/// Then, the results are packed into the returned 16-bit unsigned integer.
///
/// The conversion to fixed point is done as follows:
/// packSnorm1x8: round(clamp(s, -1, +1) * 32767.0)
///
/// @see gtc_packing
/// @see uint32 packSnorm2x16(vec2 const& v)
/// @see uint64 packSnorm4x16(vec4 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packSnorm4x8.xml">GLSL packSnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint16 packSnorm1x16(float v);
/// First, unpacks a single 16-bit unsigned integer p into a single 16-bit signed integers.
/// Then, each component is converted to a normalized floating-point value to generate the returned scalar.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackSnorm1x16: clamp(f / 32767.0, -1, +1)
///
/// @see gtc_packing
/// @see vec2 unpackSnorm2x16(uint32 p)
/// @see vec4 unpackSnorm4x16(uint64 p)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackSnorm1x16.xml">GLSL unpackSnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL float unpackSnorm1x16(uint16 p);
/// First, converts each component of the normalized floating-point value v into 16-bit integer values.
/// Then, the results are packed into the returned 64-bit unsigned integer.
///
/// The conversion for component c of v to fixed point is done as follows:
/// packSnorm2x8: round(clamp(c, -1, +1) * 32767.0)
///
/// The first component of the vector will be written to the least significant bits of the output;
/// the last component will be written to the most significant bits.
///
/// @see gtc_packing
/// @see uint16 packSnorm1x16(float const& v)
/// @see uint32 packSnorm2x16(vec2 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packSnorm4x8.xml">GLSL packSnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint64 packSnorm4x16(vec4 const& v);
/// First, unpacks a single 64-bit unsigned integer p into four 16-bit signed integers.
/// Then, each component is converted to a normalized floating-point value to generate the returned four-component vector.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackSnorm4x16: clamp(f / 32767.0, -1, +1)
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// @see gtc_packing
/// @see float unpackSnorm1x16(uint16 p)
/// @see vec2 unpackSnorm2x16(uint32 p)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackSnorm2x16.xml">GLSL unpackSnorm4x8 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL vec4 unpackSnorm4x16(uint64 p);
/// Returns an unsigned integer obtained by converting the components of a floating-point scalar
/// to the 16-bit floating-point representation found in the OpenGL Specification,
/// and then packing this 16-bit value into a 16-bit unsigned integer.
///
/// @see gtc_packing
/// @see uint32 packHalf2x16(vec2 const& v)
/// @see uint64 packHalf4x16(vec4 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packHalf2x16.xml">GLSL packHalf2x16 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint16 packHalf1x16(float v);
/// Returns a floating-point scalar with components obtained by unpacking a 16-bit unsigned integer into a 16-bit value,
/// interpreted as a 16-bit floating-point number according to the OpenGL Specification,
/// and converting it to 32-bit floating-point values.
///
/// @see gtc_packing
/// @see vec2 unpackHalf2x16(uint32 const& v)
/// @see vec4 unpackHalf4x16(uint64 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackHalf2x16.xml">GLSL unpackHalf2x16 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL float unpackHalf1x16(uint16 v);
/// Returns an unsigned integer obtained by converting the components of a four-component floating-point vector
/// to the 16-bit floating-point representation found in the OpenGL Specification,
/// and then packing these four 16-bit values into a 64-bit unsigned integer.
/// The first vector component specifies the 16 least-significant bits of the result;
/// the forth component specifies the 16 most-significant bits.
///
/// @see gtc_packing
/// @see uint16 packHalf1x16(float const& v)
/// @see uint32 packHalf2x16(vec2 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packHalf2x16.xml">GLSL packHalf2x16 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL uint64 packHalf4x16(vec4 const& v);
/// Returns a four-component floating-point vector with components obtained by unpacking a 64-bit unsigned integer into four 16-bit values,
/// interpreting those values as 16-bit floating-point numbers according to the OpenGL Specification,
/// and converting them to 32-bit floating-point values.
/// The first component of the vector is obtained from the 16 least-significant bits of v;
/// the forth component is obtained from the 16 most-significant bits of v.
///
/// @see gtc_packing
/// @see float unpackHalf1x16(uint16 const& v)
/// @see vec2 unpackHalf2x16(uint32 const& v)
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackHalf2x16.xml">GLSL unpackHalf2x16 man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
GLM_FUNC_DECL vec4 unpackHalf4x16(uint64 p);
/// Returns an unsigned integer obtained by converting the components of a four-component signed integer vector
/// to the 10-10-10-2-bit signed integer representation found in the OpenGL Specification,
/// and then packing these four values into a 32-bit unsigned integer.
/// The first vector component specifies the 10 least-significant bits of the result;
/// the forth component specifies the 2 most-significant bits.
///
/// @see gtc_packing
/// @see uint32 packI3x10_1x2(uvec4 const& v)
/// @see uint32 packSnorm3x10_1x2(vec4 const& v)
/// @see uint32 packUnorm3x10_1x2(vec4 const& v)
/// @see ivec4 unpackI3x10_1x2(uint32 const& p)
GLM_FUNC_DECL uint32 packI3x10_1x2(ivec4 const& v);
/// Unpacks a single 32-bit unsigned integer p into three 10-bit and one 2-bit signed integers.
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// @see gtc_packing
/// @see uint32 packU3x10_1x2(uvec4 const& v)
/// @see vec4 unpackSnorm3x10_1x2(uint32 const& p);
/// @see uvec4 unpackI3x10_1x2(uint32 const& p);
GLM_FUNC_DECL ivec4 unpackI3x10_1x2(uint32 p);
/// Returns an unsigned integer obtained by converting the components of a four-component unsigned integer vector
/// to the 10-10-10-2-bit unsigned integer representation found in the OpenGL Specification,
/// and then packing these four values into a 32-bit unsigned integer.
/// The first vector component specifies the 10 least-significant bits of the result;
/// the forth component specifies the 2 most-significant bits.
///
/// @see gtc_packing
/// @see uint32 packI3x10_1x2(ivec4 const& v)
/// @see uint32 packSnorm3x10_1x2(vec4 const& v)
/// @see uint32 packUnorm3x10_1x2(vec4 const& v)
/// @see ivec4 unpackU3x10_1x2(uint32 const& p)
GLM_FUNC_DECL uint32 packU3x10_1x2(uvec4 const& v);
/// Unpacks a single 32-bit unsigned integer p into three 10-bit and one 2-bit unsigned integers.
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// @see gtc_packing
/// @see uint32 packU3x10_1x2(uvec4 const& v)
/// @see vec4 unpackSnorm3x10_1x2(uint32 const& p);
/// @see uvec4 unpackI3x10_1x2(uint32 const& p);
GLM_FUNC_DECL uvec4 unpackU3x10_1x2(uint32 p);
/// First, converts the first three components of the normalized floating-point value v into 10-bit signed integer values.
/// Then, converts the forth component of the normalized floating-point value v into 2-bit signed integer values.
/// Then, the results are packed into the returned 32-bit unsigned integer.
///
/// The conversion for component c of v to fixed point is done as follows:
/// packSnorm3x10_1x2(xyz): round(clamp(c, -1, +1) * 511.0)
/// packSnorm3x10_1x2(w): round(clamp(c, -1, +1) * 1.0)
///
/// The first vector component specifies the 10 least-significant bits of the result;
/// the forth component specifies the 2 most-significant bits.
///
/// @see gtc_packing
/// @see vec4 unpackSnorm3x10_1x2(uint32 const& p)
/// @see uint32 packUnorm3x10_1x2(vec4 const& v)
/// @see uint32 packU3x10_1x2(uvec4 const& v)
/// @see uint32 packI3x10_1x2(ivec4 const& v)
GLM_FUNC_DECL uint32 packSnorm3x10_1x2(vec4 const& v);
/// First, unpacks a single 32-bit unsigned integer p into four 16-bit signed integers.
/// Then, each component is converted to a normalized floating-point value to generate the returned four-component vector.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackSnorm3x10_1x2(xyz): clamp(f / 511.0, -1, +1)
/// unpackSnorm3x10_1x2(w): clamp(f / 511.0, -1, +1)
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// @see gtc_packing
/// @see uint32 packSnorm3x10_1x2(vec4 const& v)
/// @see vec4 unpackUnorm3x10_1x2(uint32 const& p))
/// @see uvec4 unpackI3x10_1x2(uint32 const& p)
/// @see uvec4 unpackU3x10_1x2(uint32 const& p)
GLM_FUNC_DECL vec4 unpackSnorm3x10_1x2(uint32 p);
/// First, converts the first three components of the normalized floating-point value v into 10-bit unsigned integer values.
/// Then, converts the forth component of the normalized floating-point value v into 2-bit signed uninteger values.
/// Then, the results are packed into the returned 32-bit unsigned integer.
///
/// The conversion for component c of v to fixed point is done as follows:
/// packUnorm3x10_1x2(xyz): round(clamp(c, 0, +1) * 1023.0)
/// packUnorm3x10_1x2(w): round(clamp(c, 0, +1) * 3.0)
///
/// The first vector component specifies the 10 least-significant bits of the result;
/// the forth component specifies the 2 most-significant bits.
///
/// @see gtc_packing
/// @see vec4 unpackUnorm3x10_1x2(uint32 const& p)
/// @see uint32 packUnorm3x10_1x2(vec4 const& v)
/// @see uint32 packU3x10_1x2(uvec4 const& v)
/// @see uint32 packI3x10_1x2(ivec4 const& v)
GLM_FUNC_DECL uint32 packUnorm3x10_1x2(vec4 const& v);
/// First, unpacks a single 32-bit unsigned integer p into four 16-bit signed integers.
/// Then, each component is converted to a normalized floating-point value to generate the returned four-component vector.
///
/// The conversion for unpacked fixed-point value f to floating point is done as follows:
/// unpackSnorm3x10_1x2(xyz): clamp(f / 1023.0, 0, +1)
/// unpackSnorm3x10_1x2(w): clamp(f / 3.0, 0, +1)
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// @see gtc_packing
/// @see uint32 packSnorm3x10_1x2(vec4 const& v)
/// @see vec4 unpackInorm3x10_1x2(uint32 const& p))
/// @see uvec4 unpackI3x10_1x2(uint32 const& p)
/// @see uvec4 unpackU3x10_1x2(uint32 const& p)
GLM_FUNC_DECL vec4 unpackUnorm3x10_1x2(uint32 p);
/// First, converts the first two components of the normalized floating-point value v into 11-bit signless floating-point values.
/// Then, converts the third component of the normalized floating-point value v into a 10-bit signless floating-point value.
/// Then, the results are packed into the returned 32-bit unsigned integer.
///
/// The first vector component specifies the 11 least-significant bits of the result;
/// the last component specifies the 10 most-significant bits.
///
/// @see gtc_packing
/// @see vec3 unpackF2x11_1x10(uint32 const& p)
GLM_FUNC_DECL uint32 packF2x11_1x10(vec3 const& v);
/// First, unpacks a single 32-bit unsigned integer p into two 11-bit signless floating-point values and one 10-bit signless floating-point value .
/// Then, each component is converted to a normalized floating-point value to generate the returned three-component vector.
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// @see gtc_packing
/// @see uint32 packF2x11_1x10(vec3 const& v)
GLM_FUNC_DECL vec3 unpackF2x11_1x10(uint32 p);
/// First, converts the first two components of the normalized floating-point value v into 11-bit signless floating-point values.
/// Then, converts the third component of the normalized floating-point value v into a 10-bit signless floating-point value.
/// Then, the results are packed into the returned 32-bit unsigned integer.
///
/// The first vector component specifies the 11 least-significant bits of the result;
/// the last component specifies the 10 most-significant bits.
///
/// packF3x9_E1x5 allows encoding into RGBE / RGB9E5 format
///
/// @see gtc_packing
/// @see vec3 unpackF3x9_E1x5(uint32 const& p)
GLM_FUNC_DECL uint32 packF3x9_E1x5(vec3 const& v);
/// First, unpacks a single 32-bit unsigned integer p into two 11-bit signless floating-point values and one 10-bit signless floating-point value .
/// Then, each component is converted to a normalized floating-point value to generate the returned three-component vector.
///
/// The first component of the returned vector will be extracted from the least significant bits of the input;
/// the last component will be extracted from the most significant bits.
///
/// unpackF3x9_E1x5 allows decoding RGBE / RGB9E5 data
///
/// @see gtc_packing
/// @see uint32 packF3x9_E1x5(vec3 const& v)
GLM_FUNC_DECL vec3 unpackF3x9_E1x5(uint32 p);
/// Returns an unsigned integer vector obtained by converting the components of a floating-point vector
/// to the 16-bit floating-point representation found in the OpenGL Specification.
/// The first vector component specifies the 16 least-significant bits of the result;
/// the forth component specifies the 16 most-significant bits.
///
/// @see gtc_packing
/// @see vec<3, T, Q> unpackRGBM(vec<4, T, Q> const& p)
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<4, T, Q> packRGBM(vec<3, T, Q> const& rgb);
/// Returns a floating-point vector with components obtained by reinterpreting an integer vector as 16-bit floating-point numbers and converting them to 32-bit floating-point values.
/// The first component of the vector is obtained from the 16 least-significant bits of v;
/// the forth component is obtained from the 16 most-significant bits of v.
///
/// @see gtc_packing
/// @see vec<4, T, Q> packRGBM(vec<3, float, Q> const& v)
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> unpackRGBM(vec<4, T, Q> const& rgbm);
/// Returns an unsigned integer vector obtained by converting the components of a floating-point vector
/// to the 16-bit floating-point representation found in the OpenGL Specification.
/// The first vector component specifies the 16 least-significant bits of the result;
/// the forth component specifies the 16 most-significant bits.
///
/// @see gtc_packing
/// @see vec<L, float, Q> unpackHalf(vec<L, uint16, Q> const& p)
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
template<length_t L, qualifier Q>
GLM_FUNC_DECL vec<L, uint16, Q> packHalf(vec<L, float, Q> const& v);
/// Returns a floating-point vector with components obtained by reinterpreting an integer vector as 16-bit floating-point numbers and converting them to 32-bit floating-point values.
/// The first component of the vector is obtained from the 16 least-significant bits of v;
/// the forth component is obtained from the 16 most-significant bits of v.
///
/// @see gtc_packing
/// @see vec<L, uint16, Q> packHalf(vec<L, float, Q> const& v)
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
template<length_t L, qualifier Q>
GLM_FUNC_DECL vec<L, float, Q> unpackHalf(vec<L, uint16, Q> const& p);
/// Convert each component of the normalized floating-point vector into unsigned integer values.
///
/// @see gtc_packing
/// @see vec<L, floatType, Q> unpackUnorm(vec<L, intType, Q> const& p);
template<typename uintType, length_t L, typename floatType, qualifier Q>
GLM_FUNC_DECL vec<L, uintType, Q> packUnorm(vec<L, floatType, Q> const& v);
/// Convert a packed integer to a normalized floating-point vector.
///
/// @see gtc_packing
/// @see vec<L, intType, Q> packUnorm(vec<L, floatType, Q> const& v)
template<typename floatType, length_t L, typename uintType, qualifier Q>
GLM_FUNC_DECL vec<L, floatType, Q> unpackUnorm(vec<L, uintType, Q> const& v);
/// Convert each component of the normalized floating-point vector into signed integer values.
///
/// @see gtc_packing
/// @see vec<L, floatType, Q> unpackSnorm(vec<L, intType, Q> const& p);
template<typename intType, length_t L, typename floatType, qualifier Q>
GLM_FUNC_DECL vec<L, intType, Q> packSnorm(vec<L, floatType, Q> const& v);
/// Convert a packed integer to a normalized floating-point vector.
///
/// @see gtc_packing
/// @see vec<L, intType, Q> packSnorm(vec<L, floatType, Q> const& v)
template<typename floatType, length_t L, typename intType, qualifier Q>
GLM_FUNC_DECL vec<L, floatType, Q> unpackSnorm(vec<L, intType, Q> const& v);
/// Convert each component of the normalized floating-point vector into unsigned integer values.
///
/// @see gtc_packing
/// @see vec2 unpackUnorm2x4(uint8 p)
GLM_FUNC_DECL uint8 packUnorm2x4(vec2 const& v);
/// Convert a packed integer to a normalized floating-point vector.
///
/// @see gtc_packing
/// @see uint8 packUnorm2x4(vec2 const& v)
GLM_FUNC_DECL vec2 unpackUnorm2x4(uint8 p);
/// Convert each component of the normalized floating-point vector into unsigned integer values.
///
/// @see gtc_packing
/// @see vec4 unpackUnorm4x4(uint16 p)
GLM_FUNC_DECL uint16 packUnorm4x4(vec4 const& v);
/// Convert a packed integer to a normalized floating-point vector.
///
/// @see gtc_packing
/// @see uint16 packUnorm4x4(vec4 const& v)
GLM_FUNC_DECL vec4 unpackUnorm4x4(uint16 p);
/// Convert each component of the normalized floating-point vector into unsigned integer values.
///
/// @see gtc_packing
/// @see vec3 unpackUnorm1x5_1x6_1x5(uint16 p)
GLM_FUNC_DECL uint16 packUnorm1x5_1x6_1x5(vec3 const& v);
/// Convert a packed integer to a normalized floating-point vector.
///
/// @see gtc_packing
/// @see uint16 packUnorm1x5_1x6_1x5(vec3 const& v)
GLM_FUNC_DECL vec3 unpackUnorm1x5_1x6_1x5(uint16 p);
/// Convert each component of the normalized floating-point vector into unsigned integer values.
///
/// @see gtc_packing
/// @see vec4 unpackUnorm3x5_1x1(uint16 p)
GLM_FUNC_DECL uint16 packUnorm3x5_1x1(vec4 const& v);
/// Convert a packed integer to a normalized floating-point vector.
///
/// @see gtc_packing
/// @see uint16 packUnorm3x5_1x1(vec4 const& v)
GLM_FUNC_DECL vec4 unpackUnorm3x5_1x1(uint16 p);
/// Convert each component of the normalized floating-point vector into unsigned integer values.
///
/// @see gtc_packing
/// @see vec3 unpackUnorm2x3_1x2(uint8 p)
GLM_FUNC_DECL uint8 packUnorm2x3_1x2(vec3 const& v);
/// Convert a packed integer to a normalized floating-point vector.
///
/// @see gtc_packing
/// @see uint8 packUnorm2x3_1x2(vec3 const& v)
GLM_FUNC_DECL vec3 unpackUnorm2x3_1x2(uint8 p);
/// Convert each component from an integer vector into a packed integer.
///
/// @see gtc_packing
/// @see i8vec2 unpackInt2x8(int16 p)
GLM_FUNC_DECL int16 packInt2x8(i8vec2 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see int16 packInt2x8(i8vec2 const& v)
GLM_FUNC_DECL i8vec2 unpackInt2x8(int16 p);
/// Convert each component from an integer vector into a packed unsigned integer.
///
/// @see gtc_packing
/// @see u8vec2 unpackInt2x8(uint16 p)
GLM_FUNC_DECL uint16 packUint2x8(u8vec2 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see uint16 packInt2x8(u8vec2 const& v)
GLM_FUNC_DECL u8vec2 unpackUint2x8(uint16 p);
/// Convert each component from an integer vector into a packed integer.
///
/// @see gtc_packing
/// @see i8vec4 unpackInt4x8(int32 p)
GLM_FUNC_DECL int32 packInt4x8(i8vec4 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see int32 packInt2x8(i8vec4 const& v)
GLM_FUNC_DECL i8vec4 unpackInt4x8(int32 p);
/// Convert each component from an integer vector into a packed unsigned integer.
///
/// @see gtc_packing
/// @see u8vec4 unpackUint4x8(uint32 p)
GLM_FUNC_DECL uint32 packUint4x8(u8vec4 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see uint32 packUint4x8(u8vec2 const& v)
GLM_FUNC_DECL u8vec4 unpackUint4x8(uint32 p);
/// Convert each component from an integer vector into a packed integer.
///
/// @see gtc_packing
/// @see i16vec2 unpackInt2x16(int p)
GLM_FUNC_DECL int packInt2x16(i16vec2 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see int packInt2x16(i16vec2 const& v)
GLM_FUNC_DECL i16vec2 unpackInt2x16(int p);
/// Convert each component from an integer vector into a packed integer.
///
/// @see gtc_packing
/// @see i16vec4 unpackInt4x16(int64 p)
GLM_FUNC_DECL int64 packInt4x16(i16vec4 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see int64 packInt4x16(i16vec4 const& v)
GLM_FUNC_DECL i16vec4 unpackInt4x16(int64 p);
/// Convert each component from an integer vector into a packed unsigned integer.
///
/// @see gtc_packing
/// @see u16vec2 unpackUint2x16(uint p)
GLM_FUNC_DECL uint packUint2x16(u16vec2 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see uint packUint2x16(u16vec2 const& v)
GLM_FUNC_DECL u16vec2 unpackUint2x16(uint p);
/// Convert each component from an integer vector into a packed unsigned integer.
///
/// @see gtc_packing
/// @see u16vec4 unpackUint4x16(uint64 p)
GLM_FUNC_DECL uint64 packUint4x16(u16vec4 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see uint64 packUint4x16(u16vec4 const& v)
GLM_FUNC_DECL u16vec4 unpackUint4x16(uint64 p);
/// Convert each component from an integer vector into a packed integer.
///
/// @see gtc_packing
/// @see i32vec2 unpackInt2x32(int p)
GLM_FUNC_DECL int64 packInt2x32(i32vec2 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see int packInt2x16(i32vec2 const& v)
GLM_FUNC_DECL i32vec2 unpackInt2x32(int64 p);
/// Convert each component from an integer vector into a packed unsigned integer.
///
/// @see gtc_packing
/// @see u32vec2 unpackUint2x32(int p)
GLM_FUNC_DECL uint64 packUint2x32(u32vec2 const& v);
/// Convert a packed integer into an integer vector.
///
/// @see gtc_packing
/// @see int packUint2x16(u32vec2 const& v)
GLM_FUNC_DECL u32vec2 unpackUint2x32(uint64 p);
/// @}
}// namespace glm
#include "packing.inl"

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/// @ref gtc_packing
#include "../ext/scalar_relational.hpp"
#include "../ext/vector_relational.hpp"
#include "../common.hpp"
#include "../vec2.hpp"
#include "../vec3.hpp"
#include "../vec4.hpp"
#include "../detail/type_half.hpp"
#include <cstring>
#include <limits>
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;
uint Pack = 0u;
memcpy(&Pack, &x, sizeof(Pack));
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);
float Temp = 0;
memcpy(&Temp, &Result, sizeof(Temp));
return Temp;
}
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;
uint Pack = 0;
memcpy(&Pack, &x, sizeof(Pack));
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);
float Temp = 0;
memcpy(&Temp, &Result, sizeof(Temp));
return Temp;
}
// 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 u3u3u2
{
struct
{
uint x : 3;
uint y : 3;
uint z : 2;
} data;
uint8 pack;
};
union u4u4
{
struct
{
uint x : 4;
uint y : 4;
} data;
uint8 pack;
};
union u4u4u4u4
{
struct
{
uint x : 4;
uint y : 4;
uint z : 4;
uint w : 4;
} data;
uint16 pack;
};
union u5u6u5
{
struct
{
uint x : 5;
uint y : 6;
uint z : 5;
} data;
uint16 pack;
};
union u5u5u5u1
{
struct
{
uint x : 5;
uint y : 5;
uint z : 5;
uint w : 1;
} data;
uint16 pack;
};
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;
};
union u9u9u9e5
{
struct
{
uint x : 9;
uint y : 9;
uint z : 9;
uint w : 5;
} data;
uint32 pack;
};
template<length_t L, qualifier Q>
struct compute_half
{};
template<qualifier Q>
struct compute_half<1, Q>
{
GLM_FUNC_QUALIFIER static vec<1, uint16, Q> pack(vec<1, float, Q> const& v)
{
int16 const Unpack(detail::toFloat16(v.x));
u16vec1 Packed;
memcpy(&Packed, &Unpack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER static vec<1, float, Q> unpack(vec<1, uint16, Q> const& v)
{
i16vec1 Unpack;
memcpy(&Unpack, &v, sizeof(Unpack));
return vec<1, float, Q>(detail::toFloat32(v.x));
}
};
template<qualifier Q>
struct compute_half<2, Q>
{
GLM_FUNC_QUALIFIER static vec<2, uint16, Q> pack(vec<2, float, Q> const& v)
{
vec<2, int16, Q> const Unpack(detail::toFloat16(v.x), detail::toFloat16(v.y));
u16vec2 Packed;
memcpy(&Packed, &Unpack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER static vec<2, float, Q> unpack(vec<2, uint16, Q> const& v)
{
i16vec2 Unpack;
memcpy(&Unpack, &v, sizeof(Unpack));
return vec<2, float, Q>(detail::toFloat32(v.x), detail::toFloat32(v.y));
}
};
template<qualifier Q>
struct compute_half<3, Q>
{
GLM_FUNC_QUALIFIER static vec<3, uint16, Q> pack(vec<3, float, Q> const& v)
{
vec<3, int16, Q> const Unpack(detail::toFloat16(v.x), detail::toFloat16(v.y), detail::toFloat16(v.z));
u16vec3 Packed;
memcpy(&Packed, &Unpack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER static vec<3, float, Q> unpack(vec<3, uint16, Q> const& v)
{
i16vec3 Unpack;
memcpy(&Unpack, &v, sizeof(Unpack));
return vec<3, float, Q>(detail::toFloat32(v.x), detail::toFloat32(v.y), detail::toFloat32(v.z));
}
};
template<qualifier Q>
struct compute_half<4, Q>
{
GLM_FUNC_QUALIFIER static vec<4, uint16, Q> pack(vec<4, float, Q> const& v)
{
vec<4, int16, Q> const Unpack(detail::toFloat16(v.x), detail::toFloat16(v.y), detail::toFloat16(v.z), detail::toFloat16(v.w));
u16vec4 Packed;
memcpy(&Packed, &Unpack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER static vec<4, float, Q> unpack(vec<4, uint16, Q> const& v)
{
i16vec4 Unpack;
memcpy(&Unpack, &v, sizeof(Unpack));
return vec<4, float, Q>(detail::toFloat32(v.x), detail::toFloat32(v.y), detail::toFloat32(v.z), detail::toFloat32(v.w));
}
};
}//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));
uint16 Unpack = 0;
memcpy(&Unpack, &Topack, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER vec2 unpackUnorm2x8(uint16 p)
{
u8vec2 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return vec2(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)));
uint8 Packed = 0;
memcpy(&Packed, &Topack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER float unpackSnorm1x8(uint8 p)
{
int8 Unpack = 0;
memcpy(&Unpack, &p, sizeof(Unpack));
return clamp(
static_cast<float>(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));
uint16 Packed = 0;
memcpy(&Packed, &Topack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER vec2 unpackSnorm2x8(uint16 p)
{
i8vec2 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return clamp(
vec2(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));
uint64 Packed = 0;
memcpy(&Packed, &Topack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER vec4 unpackUnorm4x16(uint64 p)
{
u16vec4 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return vec4(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));
uint16 Packed = 0;
memcpy(&Packed, &Topack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER float unpackSnorm1x16(uint16 p)
{
int16 Unpack = 0;
memcpy(&Unpack, &p, sizeof(Unpack));
return clamp(
static_cast<float>(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));
uint64 Packed = 0;
memcpy(&Packed, &Topack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER vec4 unpackSnorm4x16(uint64 p)
{
i16vec4 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return clamp(
vec4(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));
uint16 Packed = 0;
memcpy(&Packed, &Topack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER float unpackHalf1x16(uint16 v)
{
int16 Unpack = 0;
memcpy(&Unpack, &v, sizeof(Unpack));
return detail::toFloat32(Unpack);
}
GLM_FUNC_QUALIFIER uint64 packHalf4x16(glm::vec4 const& v)
{
i16vec4 const Unpack(
detail::toFloat16(v.x),
detail::toFloat16(v.y),
detail::toFloat16(v.z),
detail::toFloat16(v.w));
uint64 Packed = 0;
memcpy(&Packed, &Unpack, sizeof(Packed));
return Packed;
}
GLM_FUNC_QUALIFIER glm::vec4 unpackHalf4x16(uint64 v)
{
i16vec4 Unpack;
memcpy(&Unpack, &v, sizeof(Unpack));
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)
{
ivec4 const Pack(round(clamp(v,-1.0f, 1.0f) * vec4(511.f, 511.f, 511.f, 1.f)));
detail::i10i10i10i2 Result;
Result.data.x = Pack.x;
Result.data.y = Pack.y;
Result.data.z = Pack.z;
Result.data.w = Pack.w;
return Result.pack;
}
GLM_FUNC_QUALIFIER vec4 unpackSnorm3x10_1x2(uint32 v)
{
detail::i10i10i10i2 Unpack;
Unpack.pack = v;
vec4 const Result(Unpack.data.x, Unpack.data.y, Unpack.data.z, Unpack.data.w);
return clamp(Result * vec4(1.f / 511.f, 1.f / 511.f, 1.f / 511.f, 1.f), -1.0f, 1.0f);
}
GLM_FUNC_QUALIFIER uint32 packUnorm3x10_1x2(vec4 const& v)
{
uvec4 const Unpack(round(clamp(v, 0.0f, 1.0f) * vec4(1023.f, 1023.f, 1023.f, 3.f)));
detail::u10u10u10u2 Result;
Result.data.x = Unpack.x;
Result.data.y = Unpack.y;
Result.data.z = Unpack.z;
Result.data.w = Unpack.w;
return Result.pack;
}
GLM_FUNC_QUALIFIER vec4 unpackUnorm3x10_1x2(uint32 v)
{
vec4 const ScaleFactors(1.0f / 1023.f, 1.0f / 1023.f, 1.0f / 1023.f, 1.0f / 3.f);
detail::u10u10u10u2 Unpack;
Unpack.pack = v;
return vec4(Unpack.data.x, Unpack.data.y, Unpack.data.z, Unpack.data.w) * ScaleFactors;
}
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));
}
GLM_FUNC_QUALIFIER uint32 packF3x9_E1x5(vec3 const& v)
{
float const SharedExpMax = (pow(2.0f, 9.0f - 1.0f) / pow(2.0f, 9.0f)) * pow(2.0f, 31.f - 15.f);
vec3 const Color = clamp(v, 0.0f, SharedExpMax);
float const MaxColor = max(Color.x, max(Color.y, Color.z));
float const ExpSharedP = max(-15.f - 1.f, floor(log2(MaxColor))) + 1.0f + 15.f;
float const MaxShared = floor(MaxColor / pow(2.0f, (ExpSharedP - 15.f - 9.f)) + 0.5f);
float const ExpShared = equal(MaxShared, pow(2.0f, 9.0f), epsilon<float>()) ? ExpSharedP + 1.0f : ExpSharedP;
uvec3 const ColorComp(floor(Color / pow(2.f, (ExpShared - 15.f - 9.f)) + 0.5f));
detail::u9u9u9e5 Unpack;
Unpack.data.x = ColorComp.x;
Unpack.data.y = ColorComp.y;
Unpack.data.z = ColorComp.z;
Unpack.data.w = uint(ExpShared);
return Unpack.pack;
}
GLM_FUNC_QUALIFIER vec3 unpackF3x9_E1x5(uint32 v)
{
detail::u9u9u9e5 Unpack;
Unpack.pack = v;
return vec3(Unpack.data.x, Unpack.data.y, Unpack.data.z) * pow(2.0f, Unpack.data.w - 15.f - 9.f);
}
// Based on Brian Karis http://graphicrants.blogspot.fr/2009/04/rgbm-color-encoding.html
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<4, T, Q> packRGBM(vec<3, T, Q> const& rgb)
{
vec<3, T, Q> const Color(rgb * static_cast<T>(1.0 / 6.0));
T Alpha = clamp(max(max(Color.x, Color.y), max(Color.z, static_cast<T>(1e-6))), static_cast<T>(0), static_cast<T>(1));
Alpha = ceil(Alpha * static_cast<T>(255.0)) / static_cast<T>(255.0);
return vec<4, T, Q>(Color / Alpha, Alpha);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> unpackRGBM(vec<4, T, Q> const& rgbm)
{
return vec<3, T, Q>(rgbm.x, rgbm.y, rgbm.z) * rgbm.w * static_cast<T>(6);
}
template<length_t L, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, uint16, Q> packHalf(vec<L, float, Q> const& v)
{
return detail::compute_half<L, Q>::pack(v);
}
template<length_t L, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, float, Q> unpackHalf(vec<L, uint16, Q> const& v)
{
return detail::compute_half<L, Q>::unpack(v);
}
template<typename uintType, length_t L, typename floatType, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, uintType, Q> packUnorm(vec<L, floatType, Q> const& v)
{
GLM_STATIC_ASSERT(std::numeric_limits<uintType>::is_integer, "uintType must be an integer type");
GLM_STATIC_ASSERT(std::numeric_limits<floatType>::is_iec559, "floatType must be a floating point type");
return vec<L, uintType, Q>(round(clamp(v, static_cast<floatType>(0), static_cast<floatType>(1)) * static_cast<floatType>(std::numeric_limits<uintType>::max())));
}
template<typename floatType, length_t L, typename uintType, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, floatType, Q> unpackUnorm(vec<L, uintType, Q> const& v)
{
GLM_STATIC_ASSERT(std::numeric_limits<uintType>::is_integer, "uintType must be an integer type");
GLM_STATIC_ASSERT(std::numeric_limits<floatType>::is_iec559, "floatType must be a floating point type");
return vec<L, float, Q>(v) * (static_cast<floatType>(1) / static_cast<floatType>(std::numeric_limits<uintType>::max()));
}
template<typename intType, length_t L, typename floatType, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, intType, Q> packSnorm(vec<L, floatType, Q> const& v)
{
GLM_STATIC_ASSERT(std::numeric_limits<intType>::is_integer, "uintType must be an integer type");
GLM_STATIC_ASSERT(std::numeric_limits<floatType>::is_iec559, "floatType must be a floating point type");
return vec<L, intType, Q>(round(clamp(v , static_cast<floatType>(-1), static_cast<floatType>(1)) * static_cast<floatType>(std::numeric_limits<intType>::max())));
}
template<typename floatType, length_t L, typename intType, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, floatType, Q> unpackSnorm(vec<L, intType, Q> const& v)
{
GLM_STATIC_ASSERT(std::numeric_limits<intType>::is_integer, "uintType must be an integer type");
GLM_STATIC_ASSERT(std::numeric_limits<floatType>::is_iec559, "floatType must be a floating point type");
return clamp(vec<L, floatType, Q>(v) * (static_cast<floatType>(1) / static_cast<floatType>(std::numeric_limits<intType>::max())), static_cast<floatType>(-1), static_cast<floatType>(1));
}
GLM_FUNC_QUALIFIER uint8 packUnorm2x4(vec2 const& v)
{
u32vec2 const Unpack(round(clamp(v, 0.0f, 1.0f) * 15.0f));
detail::u4u4 Result;
Result.data.x = Unpack.x;
Result.data.y = Unpack.y;
return Result.pack;
}
GLM_FUNC_QUALIFIER vec2 unpackUnorm2x4(uint8 v)
{
float const ScaleFactor(1.f / 15.f);
detail::u4u4 Unpack;
Unpack.pack = v;
return vec2(Unpack.data.x, Unpack.data.y) * ScaleFactor;
}
GLM_FUNC_QUALIFIER uint16 packUnorm4x4(vec4 const& v)
{
u32vec4 const Unpack(round(clamp(v, 0.0f, 1.0f) * 15.0f));
detail::u4u4u4u4 Result;
Result.data.x = Unpack.x;
Result.data.y = Unpack.y;
Result.data.z = Unpack.z;
Result.data.w = Unpack.w;
return Result.pack;
}
GLM_FUNC_QUALIFIER vec4 unpackUnorm4x4(uint16 v)
{
float const ScaleFactor(1.f / 15.f);
detail::u4u4u4u4 Unpack;
Unpack.pack = v;
return vec4(Unpack.data.x, Unpack.data.y, Unpack.data.z, Unpack.data.w) * ScaleFactor;
}
GLM_FUNC_QUALIFIER uint16 packUnorm1x5_1x6_1x5(vec3 const& v)
{
u32vec3 const Unpack(round(clamp(v, 0.0f, 1.0f) * vec3(31.f, 63.f, 31.f)));
detail::u5u6u5 Result;
Result.data.x = Unpack.x;
Result.data.y = Unpack.y;
Result.data.z = Unpack.z;
return Result.pack;
}
GLM_FUNC_QUALIFIER vec3 unpackUnorm1x5_1x6_1x5(uint16 v)
{
vec3 const ScaleFactor(1.f / 31.f, 1.f / 63.f, 1.f / 31.f);
detail::u5u6u5 Unpack;
Unpack.pack = v;
return vec3(Unpack.data.x, Unpack.data.y, Unpack.data.z) * ScaleFactor;
}
GLM_FUNC_QUALIFIER uint16 packUnorm3x5_1x1(vec4 const& v)
{
u32vec4 const Unpack(round(clamp(v, 0.0f, 1.0f) * vec4(31.f, 31.f, 31.f, 1.f)));
detail::u5u5u5u1 Result;
Result.data.x = Unpack.x;
Result.data.y = Unpack.y;
Result.data.z = Unpack.z;
Result.data.w = Unpack.w;
return Result.pack;
}
GLM_FUNC_QUALIFIER vec4 unpackUnorm3x5_1x1(uint16 v)
{
vec4 const ScaleFactor(1.f / 31.f, 1.f / 31.f, 1.f / 31.f, 1.f);
detail::u5u5u5u1 Unpack;
Unpack.pack = v;
return vec4(Unpack.data.x, Unpack.data.y, Unpack.data.z, Unpack.data.w) * ScaleFactor;
}
GLM_FUNC_QUALIFIER uint8 packUnorm2x3_1x2(vec3 const& v)
{
u32vec3 const Unpack(round(clamp(v, 0.0f, 1.0f) * vec3(7.f, 7.f, 3.f)));
detail::u3u3u2 Result;
Result.data.x = Unpack.x;
Result.data.y = Unpack.y;
Result.data.z = Unpack.z;
return Result.pack;
}
GLM_FUNC_QUALIFIER vec3 unpackUnorm2x3_1x2(uint8 v)
{
vec3 const ScaleFactor(1.f / 7.f, 1.f / 7.f, 1.f / 3.f);
detail::u3u3u2 Unpack;
Unpack.pack = v;
return vec3(Unpack.data.x, Unpack.data.y, Unpack.data.z) * ScaleFactor;
}
GLM_FUNC_QUALIFIER int16 packInt2x8(i8vec2 const& v)
{
int16 Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER i8vec2 unpackInt2x8(int16 p)
{
i8vec2 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER uint16 packUint2x8(u8vec2 const& v)
{
uint16 Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER u8vec2 unpackUint2x8(uint16 p)
{
u8vec2 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER int32 packInt4x8(i8vec4 const& v)
{
int32 Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER i8vec4 unpackInt4x8(int32 p)
{
i8vec4 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER uint32 packUint4x8(u8vec4 const& v)
{
uint32 Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER u8vec4 unpackUint4x8(uint32 p)
{
u8vec4 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER int packInt2x16(i16vec2 const& v)
{
int Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER i16vec2 unpackInt2x16(int p)
{
i16vec2 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER int64 packInt4x16(i16vec4 const& v)
{
int64 Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER i16vec4 unpackInt4x16(int64 p)
{
i16vec4 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER uint packUint2x16(u16vec2 const& v)
{
uint Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER u16vec2 unpackUint2x16(uint p)
{
u16vec2 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER uint64 packUint4x16(u16vec4 const& v)
{
uint64 Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER u16vec4 unpackUint4x16(uint64 p)
{
u16vec4 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER int64 packInt2x32(i32vec2 const& v)
{
int64 Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER i32vec2 unpackInt2x32(int64 p)
{
i32vec2 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
GLM_FUNC_QUALIFIER uint64 packUint2x32(u32vec2 const& v)
{
uint64 Pack = 0;
memcpy(&Pack, &v, sizeof(Pack));
return Pack;
}
GLM_FUNC_QUALIFIER u32vec2 unpackUint2x32(uint64 p)
{
u32vec2 Unpack;
memcpy(&Unpack, &p, sizeof(Unpack));
return Unpack;
}
}//namespace glm

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/// @ref gtc_quaternion
/// @file glm/gtc/quaternion.hpp
///
/// @see core (dependence)
/// @see gtc_constants (dependence)
///
/// @defgroup gtc_quaternion GLM_GTC_quaternion
/// @ingroup gtc
///
/// Include <glm/gtc/quaternion.hpp> to use the features of this extension.
///
/// Defines a templated quaternion type and several quaternion operations.
#pragma once
// Dependency:
#include "../gtc/constants.hpp"
#include "../gtc/matrix_transform.hpp"
#include "../ext/vector_relational.hpp"
#include "../ext/quaternion_common.hpp"
#include "../ext/quaternion_float.hpp"
#include "../ext/quaternion_float_precision.hpp"
#include "../ext/quaternion_double.hpp"
#include "../ext/quaternion_double_precision.hpp"
#include "../ext/quaternion_relational.hpp"
#include "../ext/quaternion_geometric.hpp"
#include "../ext/quaternion_trigonometric.hpp"
#include "../ext/quaternion_transform.hpp"
#include "../detail/type_mat3x3.hpp"
#include "../detail/type_mat4x4.hpp"
#include "../detail/type_vec3.hpp"
#include "../detail/type_vec4.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_quaternion extension included")
#endif
namespace glm
{
/// @addtogroup gtc_quaternion
/// @{
/// Returns euler angles, pitch as x, yaw as y, roll as z.
/// The result is expressed in radians.
///
/// @tparam T Floating-point scalar types.
///
/// @see gtc_quaternion
template<typename T, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> eulerAngles(qua<T, Q> const& x);
/// Returns roll value of euler angles expressed in radians.
///
/// @tparam T Floating-point scalar types.
///
/// @see gtc_quaternion
template<typename T, qualifier Q>
GLM_FUNC_DECL T roll(qua<T, Q> const& x);
/// Returns pitch value of euler angles expressed in radians.
///
/// @tparam T Floating-point scalar types.
///
/// @see gtc_quaternion
template<typename T, qualifier Q>
GLM_FUNC_DECL T pitch(qua<T, Q> const& x);
/// Returns yaw value of euler angles expressed in radians.
///
/// @tparam T Floating-point scalar types.
///
/// @see gtc_quaternion
template<typename T, qualifier Q>
GLM_FUNC_DECL T yaw(qua<T, Q> const& x);
/// Converts a quaternion to a 3 * 3 matrix.
///
/// @tparam T Floating-point scalar types.
///
/// @see gtc_quaternion
template<typename T, qualifier Q>
GLM_FUNC_DECL mat<3, 3, T, Q> mat3_cast(qua<T, Q> const& x);
/// Converts a quaternion to a 4 * 4 matrix.
///
/// @tparam T Floating-point scalar types.
///
/// @see gtc_quaternion
template<typename T, qualifier Q>
GLM_FUNC_DECL mat<4, 4, T, Q> mat4_cast(qua<T, Q> const& x);
/// Converts a pure rotation 3 * 3 matrix to a quaternion.
///
/// @tparam T Floating-point scalar types.
///
/// @see gtc_quaternion
template<typename T, qualifier Q>
GLM_FUNC_DECL qua<T, Q> quat_cast(mat<3, 3, T, Q> const& x);
/// Converts a pure rotation 4 * 4 matrix to a quaternion.
///
/// @tparam T Floating-point scalar types.
///
/// @see gtc_quaternion
template<typename T, qualifier Q>
GLM_FUNC_DECL qua<T, Q> quat_cast(mat<4, 4, T, Q> const& x);
/// Returns the component-wise comparison result of x < y.
///
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see ext_quaternion_relational
template<typename T, qualifier Q>
GLM_FUNC_DECL vec<4, bool, Q> lessThan(qua<T, Q> const& x, qua<T, Q> const& y);
/// Returns the component-wise comparison of result x <= y.
///
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see ext_quaternion_relational
template<typename T, qualifier Q>
GLM_FUNC_DECL vec<4, bool, Q> lessThanEqual(qua<T, Q> const& x, qua<T, Q> const& y);
/// Returns the component-wise comparison of result x > y.
///
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see ext_quaternion_relational
template<typename T, qualifier Q>
GLM_FUNC_DECL vec<4, bool, Q> greaterThan(qua<T, Q> const& x, qua<T, Q> const& y);
/// Returns the component-wise comparison of result x >= y.
///
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see ext_quaternion_relational
template<typename T, qualifier Q>
GLM_FUNC_DECL vec<4, bool, Q> greaterThanEqual(qua<T, Q> const& x, qua<T, Q> const& y);
/// Build a look at quaternion based on the default handedness.
///
/// @param direction Desired forward direction. Needs to be normalized.
/// @param up Up vector, how the camera is oriented. Typically (0, 1, 0).
template<typename T, qualifier Q>
GLM_FUNC_DECL qua<T, Q> quatLookAt(
vec<3, T, Q> const& direction,
vec<3, T, Q> const& up);
/// Build a right-handed look at quaternion.
///
/// @param direction Desired forward direction onto which the -z-axis gets mapped. Needs to be normalized.
/// @param up Up vector, how the camera is oriented. Typically (0, 1, 0).
template<typename T, qualifier Q>
GLM_FUNC_DECL qua<T, Q> quatLookAtRH(
vec<3, T, Q> const& direction,
vec<3, T, Q> const& up);
/// Build a left-handed look at quaternion.
///
/// @param direction Desired forward direction onto which the +z-axis gets mapped. Needs to be normalized.
/// @param up Up vector, how the camera is oriented. Typically (0, 1, 0).
template<typename T, qualifier Q>
GLM_FUNC_DECL qua<T, Q> quatLookAtLH(
vec<3, T, Q> const& direction,
vec<3, T, Q> const& up);
/// @}
} //namespace glm
#include "quaternion.inl"

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#include "../trigonometric.hpp"
#include "../geometric.hpp"
#include "../exponential.hpp"
#include "epsilon.hpp"
#include <limits>
namespace glm
{
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<3, T, Q> eulerAngles(qua<T, Q> const& x)
{
return vec<3, T, Q>(pitch(x), yaw(x), roll(x));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T roll(qua<T, Q> const& q)
{
return static_cast<T>(atan(static_cast<T>(2) * (q.x * q.y + q.w * q.z), q.w * q.w + q.x * q.x - q.y * q.y - q.z * q.z));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T pitch(qua<T, Q> const& q)
{
//return T(atan(T(2) * (q.y * q.z + q.w * q.x), q.w * q.w - q.x * q.x - q.y * q.y + q.z * q.z));
T const y = static_cast<T>(2) * (q.y * q.z + q.w * q.x);
T const x = q.w * q.w - q.x * q.x - q.y * q.y + q.z * q.z;
if(all(equal(vec<2, T, Q>(x, y), vec<2, T, Q>(0), epsilon<T>()))) //avoid atan2(0,0) - handle singularity - Matiis
return static_cast<T>(static_cast<T>(2) * atan(q.x, q.w));
return static_cast<T>(atan(y, x));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T yaw(qua<T, Q> const& q)
{
return asin(clamp(static_cast<T>(-2) * (q.x * q.z - q.w * q.y), static_cast<T>(-1), static_cast<T>(1)));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER mat<3, 3, T, Q> mat3_cast(qua<T, Q> const& q)
{
mat<3, 3, T, Q> Result(T(1));
T qxx(q.x * q.x);
T qyy(q.y * q.y);
T qzz(q.z * q.z);
T qxz(q.x * q.z);
T qxy(q.x * q.y);
T qyz(q.y * q.z);
T qwx(q.w * q.x);
T qwy(q.w * q.y);
T qwz(q.w * q.z);
Result[0][0] = T(1) - T(2) * (qyy + qzz);
Result[0][1] = T(2) * (qxy + qwz);
Result[0][2] = T(2) * (qxz - qwy);
Result[1][0] = T(2) * (qxy - qwz);
Result[1][1] = T(1) - T(2) * (qxx + qzz);
Result[1][2] = T(2) * (qyz + qwx);
Result[2][0] = T(2) * (qxz + qwy);
Result[2][1] = T(2) * (qyz - qwx);
Result[2][2] = T(1) - T(2) * (qxx + qyy);
return Result;
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER mat<4, 4, T, Q> mat4_cast(qua<T, Q> const& q)
{
return mat<4, 4, T, Q>(mat3_cast(q));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER qua<T, Q> quat_cast(mat<3, 3, T, Q> const& m)
{
T fourXSquaredMinus1 = m[0][0] - m[1][1] - m[2][2];
T fourYSquaredMinus1 = m[1][1] - m[0][0] - m[2][2];
T fourZSquaredMinus1 = m[2][2] - m[0][0] - m[1][1];
T fourWSquaredMinus1 = m[0][0] + m[1][1] + m[2][2];
int biggestIndex = 0;
T fourBiggestSquaredMinus1 = fourWSquaredMinus1;
if(fourXSquaredMinus1 > fourBiggestSquaredMinus1)
{
fourBiggestSquaredMinus1 = fourXSquaredMinus1;
biggestIndex = 1;
}
if(fourYSquaredMinus1 > fourBiggestSquaredMinus1)
{
fourBiggestSquaredMinus1 = fourYSquaredMinus1;
biggestIndex = 2;
}
if(fourZSquaredMinus1 > fourBiggestSquaredMinus1)
{
fourBiggestSquaredMinus1 = fourZSquaredMinus1;
biggestIndex = 3;
}
T biggestVal = sqrt(fourBiggestSquaredMinus1 + static_cast<T>(1)) * static_cast<T>(0.5);
T mult = static_cast<T>(0.25) / biggestVal;
switch(biggestIndex)
{
case 0:
return qua<T, Q>(biggestVal, (m[1][2] - m[2][1]) * mult, (m[2][0] - m[0][2]) * mult, (m[0][1] - m[1][0]) * mult);
case 1:
return qua<T, Q>((m[1][2] - m[2][1]) * mult, biggestVal, (m[0][1] + m[1][0]) * mult, (m[2][0] + m[0][2]) * mult);
case 2:
return qua<T, Q>((m[2][0] - m[0][2]) * mult, (m[0][1] + m[1][0]) * mult, biggestVal, (m[1][2] + m[2][1]) * mult);
case 3:
return qua<T, Q>((m[0][1] - m[1][0]) * mult, (m[2][0] + m[0][2]) * mult, (m[1][2] + m[2][1]) * mult, biggestVal);
default: // Silence a -Wswitch-default warning in GCC. Should never actually get here. Assert is just for sanity.
assert(false);
return qua<T, Q>(1, 0, 0, 0);
}
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER qua<T, Q> quat_cast(mat<4, 4, T, Q> const& m4)
{
return quat_cast(mat<3, 3, T, Q>(m4));
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<4, bool, Q> lessThan(qua<T, Q> const& x, qua<T, Q> const& y)
{
vec<4, bool, Q> Result;
for(length_t i = 0; i < x.length(); ++i)
Result[i] = x[i] < y[i];
return Result;
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<4, bool, Q> lessThanEqual(qua<T, Q> const& x, qua<T, Q> const& y)
{
vec<4, bool, Q> Result;
for(length_t i = 0; i < x.length(); ++i)
Result[i] = x[i] <= y[i];
return Result;
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<4, bool, Q> greaterThan(qua<T, Q> const& x, qua<T, Q> const& y)
{
vec<4, bool, Q> Result;
for(length_t i = 0; i < x.length(); ++i)
Result[i] = x[i] > y[i];
return Result;
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<4, bool, Q> greaterThanEqual(qua<T, Q> const& x, qua<T, Q> const& y)
{
vec<4, bool, Q> Result;
for(length_t i = 0; i < x.length(); ++i)
Result[i] = x[i] >= y[i];
return Result;
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER qua<T, Q> quatLookAt(vec<3, T, Q> const& direction, vec<3, T, Q> const& up)
{
# if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT
return quatLookAtLH(direction, up);
# else
return quatLookAtRH(direction, up);
# endif
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER qua<T, Q> quatLookAtRH(vec<3, T, Q> const& direction, vec<3, T, Q> const& up)
{
mat<3, 3, T, Q> Result;
Result[2] = -direction;
vec<3, T, Q> const& Right = cross(up, Result[2]);
Result[0] = Right * inversesqrt(max(static_cast<T>(0.00001), dot(Right, Right)));
Result[1] = cross(Result[2], Result[0]);
return quat_cast(Result);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER qua<T, Q> quatLookAtLH(vec<3, T, Q> const& direction, vec<3, T, Q> const& up)
{
mat<3, 3, T, Q> Result;
Result[2] = direction;
vec<3, T, Q> const& Right = cross(up, Result[2]);
Result[0] = Right * inversesqrt(max(static_cast<T>(0.00001), dot(Right, Right)));
Result[1] = cross(Result[2], Result[0]);
return quat_cast(Result);
}
}//namespace glm
#if GLM_CONFIG_SIMD == GLM_ENABLE
# include "quaternion_simd.inl"
#endif

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/// @ref gtc_random
/// @file glm/gtc/random.hpp
///
/// @see core (dependence)
/// @see gtx_random (extended)
///
/// @defgroup gtc_random GLM_GTC_random
/// @ingroup gtc
///
/// Include <glm/gtc/random.hpp> to use the features of this extension.
///
/// Generate random number from various distribution methods.
#pragma once
// Dependency:
#include "../ext/scalar_int_sized.hpp"
#include "../ext/scalar_uint_sized.hpp"
#include "../detail/qualifier.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_random extension included")
#endif
namespace glm
{
/// @addtogroup gtc_random
/// @{
/// Generate random numbers in the interval [Min, Max], according a linear distribution
///
/// @param Min Minimum value included in the sampling
/// @param Max Maximum value included in the sampling
/// @tparam genType Value type. Currently supported: float or double scalars.
/// @see gtc_random
template<typename genType>
GLM_FUNC_DECL genType linearRand(genType Min, genType Max);
/// Generate random numbers in the interval [Min, Max], according a linear distribution
///
/// @param Min Minimum value included in the sampling
/// @param Max Maximum value included in the sampling
/// @tparam T Value type. Currently supported: float or double.
///
/// @see gtc_random
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> linearRand(vec<L, T, Q> const& Min, vec<L, T, Q> const& Max);
/// Generate random numbers in the interval [Min, Max], according a gaussian distribution
///
/// @see gtc_random
template<typename genType>
GLM_FUNC_DECL genType gaussRand(genType Mean, genType Deviation);
/// Generate a random 2D vector which coordinates are regulary distributed on a circle of a given radius
///
/// @see gtc_random
template<typename T>
GLM_FUNC_DECL vec<2, T, defaultp> circularRand(T Radius);
/// Generate a random 3D vector which coordinates are regulary distributed on a sphere of a given radius
///
/// @see gtc_random
template<typename T>
GLM_FUNC_DECL vec<3, T, defaultp> sphericalRand(T Radius);
/// Generate a random 2D vector which coordinates are regulary distributed within the area of a disk of a given radius
///
/// @see gtc_random
template<typename T>
GLM_FUNC_DECL vec<2, T, defaultp> diskRand(T Radius);
/// Generate a random 3D vector which coordinates are regulary distributed within the volume of a ball of a given radius
///
/// @see gtc_random
template<typename T>
GLM_FUNC_DECL vec<3, T, defaultp> ballRand(T Radius);
/// @}
}//namespace glm
#include "random.inl"

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#include "../geometric.hpp"
#include "../exponential.hpp"
#include "../trigonometric.hpp"
#include "../detail/type_vec1.hpp"
#include <cstdlib>
#include <ctime>
#include <cassert>
#include <cmath>
namespace glm{
namespace detail
{
template <length_t L, typename T, qualifier Q>
struct compute_rand
{
GLM_FUNC_QUALIFIER static vec<L, T, Q> call();
};
template <qualifier P>
struct compute_rand<1, uint8, P>
{
GLM_FUNC_QUALIFIER static vec<1, uint8, P> call()
{
return vec<1, uint8, P>(
std::rand() % std::numeric_limits<uint8>::max());
}
};
template <qualifier P>
struct compute_rand<2, uint8, P>
{
GLM_FUNC_QUALIFIER static vec<2, uint8, P> call()
{
return vec<2, uint8, P>(
std::rand() % std::numeric_limits<uint8>::max(),
std::rand() % std::numeric_limits<uint8>::max());
}
};
template <qualifier P>
struct compute_rand<3, uint8, P>
{
GLM_FUNC_QUALIFIER static vec<3, uint8, P> call()
{
return vec<3, uint8, P>(
std::rand() % std::numeric_limits<uint8>::max(),
std::rand() % std::numeric_limits<uint8>::max(),
std::rand() % std::numeric_limits<uint8>::max());
}
};
template <qualifier P>
struct compute_rand<4, uint8, P>
{
GLM_FUNC_QUALIFIER static vec<4, uint8, P> call()
{
return vec<4, uint8, P>(
std::rand() % std::numeric_limits<uint8>::max(),
std::rand() % std::numeric_limits<uint8>::max(),
std::rand() % std::numeric_limits<uint8>::max(),
std::rand() % std::numeric_limits<uint8>::max());
}
};
template <length_t L, qualifier Q>
struct compute_rand<L, uint16, Q>
{
GLM_FUNC_QUALIFIER static vec<L, uint16, Q> call()
{
return
(vec<L, uint16, Q>(compute_rand<L, uint8, Q>::call()) << static_cast<uint16>(8)) |
(vec<L, uint16, Q>(compute_rand<L, uint8, Q>::call()) << static_cast<uint16>(0));
}
};
template <length_t L, qualifier Q>
struct compute_rand<L, uint32, Q>
{
GLM_FUNC_QUALIFIER static vec<L, uint32, Q> call()
{
return
(vec<L, uint32, Q>(compute_rand<L, uint16, Q>::call()) << static_cast<uint32>(16)) |
(vec<L, uint32, Q>(compute_rand<L, uint16, Q>::call()) << static_cast<uint32>(0));
}
};
template <length_t L, qualifier Q>
struct compute_rand<L, uint64, Q>
{
GLM_FUNC_QUALIFIER static vec<L, uint64, Q> call()
{
return
(vec<L, uint64, Q>(compute_rand<L, uint32, Q>::call()) << static_cast<uint64>(32)) |
(vec<L, uint64, Q>(compute_rand<L, uint32, Q>::call()) << static_cast<uint64>(0));
}
};
template <length_t L, typename T, qualifier Q>
struct compute_linearRand
{
GLM_FUNC_QUALIFIER static vec<L, T, Q> call(vec<L, T, Q> const& Min, vec<L, T, Q> const& Max);
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, int8, Q>
{
GLM_FUNC_QUALIFIER static vec<L, int8, Q> call(vec<L, int8, Q> const& Min, vec<L, int8, Q> const& Max)
{
return (vec<L, int8, Q>(compute_rand<L, uint8, Q>::call() % vec<L, uint8, Q>(Max + static_cast<int8>(1) - Min))) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, uint8, Q>
{
GLM_FUNC_QUALIFIER static vec<L, uint8, Q> call(vec<L, uint8, Q> const& Min, vec<L, uint8, Q> const& Max)
{
return (compute_rand<L, uint8, Q>::call() % (Max + static_cast<uint8>(1) - Min)) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, int16, Q>
{
GLM_FUNC_QUALIFIER static vec<L, int16, Q> call(vec<L, int16, Q> const& Min, vec<L, int16, Q> const& Max)
{
return (vec<L, int16, Q>(compute_rand<L, uint16, Q>::call() % vec<L, uint16, Q>(Max + static_cast<int16>(1) - Min))) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, uint16, Q>
{
GLM_FUNC_QUALIFIER static vec<L, uint16, Q> call(vec<L, uint16, Q> const& Min, vec<L, uint16, Q> const& Max)
{
return (compute_rand<L, uint16, Q>::call() % (Max + static_cast<uint16>(1) - Min)) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, int32, Q>
{
GLM_FUNC_QUALIFIER static vec<L, int32, Q> call(vec<L, int32, Q> const& Min, vec<L, int32, Q> const& Max)
{
return (vec<L, int32, Q>(compute_rand<L, uint32, Q>::call() % vec<L, uint32, Q>(Max + static_cast<int32>(1) - Min))) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, uint32, Q>
{
GLM_FUNC_QUALIFIER static vec<L, uint32, Q> call(vec<L, uint32, Q> const& Min, vec<L, uint32, Q> const& Max)
{
return (compute_rand<L, uint32, Q>::call() % (Max + static_cast<uint32>(1) - Min)) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, int64, Q>
{
GLM_FUNC_QUALIFIER static vec<L, int64, Q> call(vec<L, int64, Q> const& Min, vec<L, int64, Q> const& Max)
{
return (vec<L, int64, Q>(compute_rand<L, uint64, Q>::call() % vec<L, uint64, Q>(Max + static_cast<int64>(1) - Min))) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, uint64, Q>
{
GLM_FUNC_QUALIFIER static vec<L, uint64, Q> call(vec<L, uint64, Q> const& Min, vec<L, uint64, Q> const& Max)
{
return (compute_rand<L, uint64, Q>::call() % (Max + static_cast<uint64>(1) - Min)) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, float, Q>
{
GLM_FUNC_QUALIFIER static vec<L, float, Q> call(vec<L, float, Q> const& Min, vec<L, float, Q> const& Max)
{
return vec<L, float, Q>(compute_rand<L, uint32, Q>::call()) / static_cast<float>(std::numeric_limits<uint32>::max()) * (Max - Min) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, double, Q>
{
GLM_FUNC_QUALIFIER static vec<L, double, Q> call(vec<L, double, Q> const& Min, vec<L, double, Q> const& Max)
{
return vec<L, double, Q>(compute_rand<L, uint64, Q>::call()) / static_cast<double>(std::numeric_limits<uint64>::max()) * (Max - Min) + Min;
}
};
template<length_t L, qualifier Q>
struct compute_linearRand<L, long double, Q>
{
GLM_FUNC_QUALIFIER static vec<L, long double, Q> call(vec<L, long double, Q> const& Min, vec<L, long double, Q> const& Max)
{
return vec<L, long double, Q>(compute_rand<L, uint64, Q>::call()) / static_cast<long double>(std::numeric_limits<uint64>::max()) * (Max - Min) + Min;
}
};
}//namespace detail
template<typename genType>
GLM_FUNC_QUALIFIER genType linearRand(genType Min, genType Max)
{
return detail::compute_linearRand<1, genType, highp>::call(
vec<1, genType, highp>(Min),
vec<1, genType, highp>(Max)).x;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> linearRand(vec<L, T, Q> const& Min, vec<L, T, Q> const& Max)
{
return detail::compute_linearRand<L, T, Q>::call(Min, Max);
}
template<typename genType>
GLM_FUNC_QUALIFIER genType gaussRand(genType Mean, genType Deviation)
{
genType w, x1, x2;
do
{
x1 = linearRand(genType(-1), genType(1));
x2 = linearRand(genType(-1), genType(1));
w = x1 * x1 + x2 * x2;
} while(w > genType(1));
return static_cast<genType>(x2 * Deviation * Deviation * sqrt((genType(-2) * log(w)) / w) + Mean);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> gaussRand(vec<L, T, Q> const& Mean, vec<L, T, Q> const& Deviation)
{
return detail::functor2<vec, L, T, Q>::call(gaussRand, Mean, Deviation);
}
template<typename T>
GLM_FUNC_QUALIFIER vec<2, T, defaultp> diskRand(T Radius)
{
assert(Radius > static_cast<T>(0));
vec<2, T, defaultp> Result(T(0));
T LenRadius(T(0));
do
{
Result = linearRand(
vec<2, T, defaultp>(-Radius),
vec<2, T, defaultp>(Radius));
LenRadius = length(Result);
}
while(LenRadius > Radius);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER vec<3, T, defaultp> ballRand(T Radius)
{
assert(Radius > static_cast<T>(0));
vec<3, T, defaultp> Result(T(0));
T LenRadius(T(0));
do
{
Result = linearRand(
vec<3, T, defaultp>(-Radius),
vec<3, T, defaultp>(Radius));
LenRadius = length(Result);
}
while(LenRadius > Radius);
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER vec<2, T, defaultp> circularRand(T Radius)
{
assert(Radius > static_cast<T>(0));
T a = linearRand(T(0), static_cast<T>(6.283185307179586476925286766559));
return vec<2, T, defaultp>(glm::cos(a), glm::sin(a)) * Radius;
}
template<typename T>
GLM_FUNC_QUALIFIER vec<3, T, defaultp> sphericalRand(T Radius)
{
assert(Radius > static_cast<T>(0));
T theta = linearRand(T(0), T(6.283185307179586476925286766559f));
T phi = std::acos(linearRand(T(-1.0f), T(1.0f)));
T x = std::sin(phi) * std::cos(theta);
T y = std::sin(phi) * std::sin(theta);
T z = std::cos(phi);
return vec<3, T, defaultp>(x, y, z) * Radius;
}
}//namespace glm

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/// @ref gtc_reciprocal
/// @file glm/gtc/reciprocal.hpp
///
/// @see core (dependence)
///
/// @defgroup gtc_reciprocal GLM_GTC_reciprocal
/// @ingroup gtc
///
/// Include <glm/gtc/reciprocal.hpp> to use the features of this extension.
///
/// Define secant, cosecant and cotangent functions.
#pragma once
// Dependencies
#include "../detail/setup.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_reciprocal extension included")
#endif
namespace glm
{
/// @addtogroup gtc_reciprocal
/// @{
/// Secant function.
/// hypotenuse / adjacent or 1 / cos(x)
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType sec(genType angle);
/// Cosecant function.
/// hypotenuse / opposite or 1 / sin(x)
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType csc(genType angle);
/// Cotangent function.
/// adjacent / opposite or 1 / tan(x)
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType cot(genType angle);
/// Inverse secant function.
///
/// @return Return an angle expressed in radians.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType asec(genType x);
/// Inverse cosecant function.
///
/// @return Return an angle expressed in radians.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType acsc(genType x);
/// Inverse cotangent function.
///
/// @return Return an angle expressed in radians.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType acot(genType x);
/// Secant hyperbolic function.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType sech(genType angle);
/// Cosecant hyperbolic function.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType csch(genType angle);
/// Cotangent hyperbolic function.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType coth(genType angle);
/// Inverse secant hyperbolic function.
///
/// @return Return an angle expressed in radians.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType asech(genType x);
/// Inverse cosecant hyperbolic function.
///
/// @return Return an angle expressed in radians.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType acsch(genType x);
/// Inverse cotangent hyperbolic function.
///
/// @return Return an angle expressed in radians.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see gtc_reciprocal
template<typename genType>
GLM_FUNC_DECL genType acoth(genType x);
/// @}
}//namespace glm
#include "reciprocal.inl"

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/// @ref gtc_reciprocal
#include "../trigonometric.hpp"
#include <limits>
namespace glm
{
// sec
template<typename genType>
GLM_FUNC_QUALIFIER genType sec(genType angle)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'sec' only accept floating-point values");
return genType(1) / glm::cos(angle);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> sec(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'sec' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(sec, x);
}
// csc
template<typename genType>
GLM_FUNC_QUALIFIER genType csc(genType angle)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'csc' only accept floating-point values");
return genType(1) / glm::sin(angle);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> csc(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'csc' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(csc, x);
}
// cot
template<typename genType>
GLM_FUNC_QUALIFIER genType cot(genType angle)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'cot' only accept floating-point values");
genType const pi_over_2 = genType(3.1415926535897932384626433832795 / 2.0);
return glm::tan(pi_over_2 - angle);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> cot(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'cot' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(cot, x);
}
// asec
template<typename genType>
GLM_FUNC_QUALIFIER genType asec(genType x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'asec' only accept floating-point values");
return acos(genType(1) / x);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> asec(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'asec' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(asec, x);
}
// acsc
template<typename genType>
GLM_FUNC_QUALIFIER genType acsc(genType x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'acsc' only accept floating-point values");
return asin(genType(1) / x);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> acsc(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'acsc' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(acsc, x);
}
// acot
template<typename genType>
GLM_FUNC_QUALIFIER genType acot(genType x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'acot' only accept floating-point values");
genType const pi_over_2 = genType(3.1415926535897932384626433832795 / 2.0);
return pi_over_2 - atan(x);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> acot(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'acot' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(acot, x);
}
// sech
template<typename genType>
GLM_FUNC_QUALIFIER genType sech(genType angle)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'sech' only accept floating-point values");
return genType(1) / glm::cosh(angle);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> sech(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'sech' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(sech, x);
}
// csch
template<typename genType>
GLM_FUNC_QUALIFIER genType csch(genType angle)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'csch' only accept floating-point values");
return genType(1) / glm::sinh(angle);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> csch(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'csch' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(csch, x);
}
// coth
template<typename genType>
GLM_FUNC_QUALIFIER genType coth(genType angle)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'coth' only accept floating-point values");
return glm::cosh(angle) / glm::sinh(angle);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> coth(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'coth' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(coth, x);
}
// asech
template<typename genType>
GLM_FUNC_QUALIFIER genType asech(genType x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'asech' only accept floating-point values");
return acosh(genType(1) / x);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> asech(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'asech' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(asech, x);
}
// acsch
template<typename genType>
GLM_FUNC_QUALIFIER genType acsch(genType x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'acsch' only accept floating-point values");
return asinh(genType(1) / x);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> acsch(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'acsch' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(acsch, x);
}
// acoth
template<typename genType>
GLM_FUNC_QUALIFIER genType acoth(genType x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'acoth' only accept floating-point values");
return atanh(genType(1) / x);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> acoth(vec<L, T, Q> const& x)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'acoth' only accept floating-point inputs");
return detail::functor1<vec, L, T, T, Q>::call(acoth, x);
}
}//namespace glm

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/// @ref gtc_round
/// @file glm/gtc/round.hpp
///
/// @see core (dependence)
/// @see gtc_round (dependence)
///
/// @defgroup gtc_round GLM_GTC_round
/// @ingroup gtc
///
/// Include <glm/gtc/round.hpp> to use the features of this extension.
///
/// Rounding value to specific boundings
#pragma once
// Dependencies
#include "../detail/setup.hpp"
#include "../detail/qualifier.hpp"
#include "../detail/_vectorize.hpp"
#include "../vector_relational.hpp"
#include "../common.hpp"
#include <limits>
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_round extension included")
#endif
namespace glm
{
/// @addtogroup gtc_round
/// @{
/// Return the power of two number which value is just higher the input value,
/// round up to a power of two.
///
/// @see gtc_round
template<typename genIUType>
GLM_FUNC_DECL genIUType ceilPowerOfTwo(genIUType v);
/// Return the power of two number which value is just higher the input value,
/// round up to a power of two.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point or integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @see gtc_round
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> ceilPowerOfTwo(vec<L, T, Q> const& v);
/// Return the power of two number which value is just lower the input value,
/// round down to a power of two.
///
/// @see gtc_round
template<typename genIUType>
GLM_FUNC_DECL genIUType floorPowerOfTwo(genIUType v);
/// Return the power of two number which value is just lower the input value,
/// round down to a power of two.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point or integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @see gtc_round
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> floorPowerOfTwo(vec<L, T, Q> const& v);
/// Return the power of two number which value is the closet to the input value.
///
/// @see gtc_round
template<typename genIUType>
GLM_FUNC_DECL genIUType roundPowerOfTwo(genIUType v);
/// Return the power of two number which value is the closet to the input value.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point or integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @see gtc_round
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> roundPowerOfTwo(vec<L, T, Q> const& v);
/// Higher multiple number of Source.
///
/// @tparam genType Floating-point or integer scalar or vector types.
///
/// @param v Source value to which is applied the function
/// @param Multiple Must be a null or positive value
///
/// @see gtc_round
template<typename genType>
GLM_FUNC_DECL genType ceilMultiple(genType v, genType Multiple);
/// Higher multiple number of Source.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point or integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @param v Source values to which is applied the function
/// @param Multiple Must be a null or positive value
///
/// @see gtc_round
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> ceilMultiple(vec<L, T, Q> const& v, vec<L, T, Q> const& Multiple);
/// Lower multiple number of Source.
///
/// @tparam genType Floating-point or integer scalar or vector types.
///
/// @param v Source value to which is applied the function
/// @param Multiple Must be a null or positive value
///
/// @see gtc_round
template<typename genType>
GLM_FUNC_DECL genType floorMultiple(genType v, genType Multiple);
/// Lower multiple number of Source.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point or integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @param v Source values to which is applied the function
/// @param Multiple Must be a null or positive value
///
/// @see gtc_round
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> floorMultiple(vec<L, T, Q> const& v, vec<L, T, Q> const& Multiple);
/// Lower multiple number of Source.
///
/// @tparam genType Floating-point or integer scalar or vector types.
///
/// @param v Source value to which is applied the function
/// @param Multiple Must be a null or positive value
///
/// @see gtc_round
template<typename genType>
GLM_FUNC_DECL genType roundMultiple(genType v, genType Multiple);
/// Lower multiple number of Source.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point or integer scalar types
/// @tparam Q Value from qualifier enum
///
/// @param v Source values to which is applied the function
/// @param Multiple Must be a null or positive value
///
/// @see gtc_round
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> roundMultiple(vec<L, T, Q> const& v, vec<L, T, Q> const& Multiple);
/// @}
} //namespace glm
#include "round.inl"

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/// @ref gtc_round
#include "../integer.hpp"
#include "../ext/vector_integer.hpp"
namespace glm{
namespace detail
{
template<bool is_float, bool is_signed>
struct compute_roundMultiple {};
template<>
struct compute_roundMultiple<true, true>
{
template<typename genType>
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
{
if (Source >= genType(0))
return Source - std::fmod(Source, Multiple);
else
{
genType Tmp = Source + genType(1);
return Tmp - std::fmod(Tmp, Multiple) - Multiple;
}
}
};
template<>
struct compute_roundMultiple<false, false>
{
template<typename genType>
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
{
if (Source >= genType(0))
return Source - Source % Multiple;
else
{
genType Tmp = Source + genType(1);
return Tmp - Tmp % Multiple - Multiple;
}
}
};
template<>
struct compute_roundMultiple<false, true>
{
template<typename genType>
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
{
if (Source >= genType(0))
return Source - Source % Multiple;
else
{
genType Tmp = Source + genType(1);
return Tmp - Tmp % Multiple - Multiple;
}
}
};
}//namespace detail
//////////////////
// ceilPowerOfTwo
template<typename genType>
GLM_FUNC_QUALIFIER genType ceilPowerOfTwo(genType value)
{
return detail::compute_ceilPowerOfTwo<1, genType, defaultp, std::numeric_limits<genType>::is_signed>::call(vec<1, genType, defaultp>(value)).x;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> ceilPowerOfTwo(vec<L, T, Q> const& v)
{
return detail::compute_ceilPowerOfTwo<L, T, Q, std::numeric_limits<T>::is_signed>::call(v);
}
///////////////////
// floorPowerOfTwo
template<typename genType>
GLM_FUNC_QUALIFIER genType floorPowerOfTwo(genType value)
{
return isPowerOfTwo(value) ? value : static_cast<genType>(1) << findMSB(value);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> floorPowerOfTwo(vec<L, T, Q> const& v)
{
return detail::functor1<vec, L, T, T, Q>::call(floorPowerOfTwo, v);
}
///////////////////
// roundPowerOfTwo
template<typename genIUType>
GLM_FUNC_QUALIFIER genIUType roundPowerOfTwo(genIUType value)
{
if(isPowerOfTwo(value))
return value;
genIUType const prev = static_cast<genIUType>(1) << findMSB(value);
genIUType const next = prev << static_cast<genIUType>(1);
return (next - value) < (value - prev) ? next : prev;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> roundPowerOfTwo(vec<L, T, Q> const& v)
{
return detail::functor1<vec, L, T, T, Q>::call(roundPowerOfTwo, v);
}
//////////////////////
// ceilMultiple
template<typename genType>
GLM_FUNC_QUALIFIER genType ceilMultiple(genType Source, genType Multiple)
{
return detail::compute_ceilMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> ceilMultiple(vec<L, T, Q> const& Source, vec<L, T, Q> const& Multiple)
{
return detail::functor2<vec, L, T, Q>::call(ceilMultiple, Source, Multiple);
}
//////////////////////
// floorMultiple
template<typename genType>
GLM_FUNC_QUALIFIER genType floorMultiple(genType Source, genType Multiple)
{
return detail::compute_floorMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> floorMultiple(vec<L, T, Q> const& Source, vec<L, T, Q> const& Multiple)
{
return detail::functor2<vec, L, T, Q>::call(floorMultiple, Source, Multiple);
}
//////////////////////
// roundMultiple
template<typename genType>
GLM_FUNC_QUALIFIER genType roundMultiple(genType Source, genType Multiple)
{
return detail::compute_roundMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> roundMultiple(vec<L, T, Q> const& Source, vec<L, T, Q> const& Multiple)
{
return detail::functor2<vec, L, T, Q>::call(roundMultiple, Source, Multiple);
}
}//namespace glm

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/// @ref gtc_precision
namespace glm
{
}

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/// @ref gtc_type_ptr
/// @file glm/gtc/type_ptr.hpp
///
/// @see core (dependence)
/// @see gtc_quaternion (dependence)
///
/// @defgroup gtc_type_ptr GLM_GTC_type_ptr
/// @ingroup gtc
///
/// Include <glm/gtc/type_ptr.hpp> to use the features of this extension.
///
/// Handles the interaction between pointers and vector, matrix types.
///
/// This extension defines an overloaded function, glm::value_ptr. It returns
/// a pointer to the memory layout of the object. Matrix types store their values
/// in column-major order.
///
/// This is useful for uploading data to matrices or copying data to buffer objects.
///
/// Example:
/// @code
/// #include <glm/glm.hpp>
/// #include <glm/gtc/type_ptr.hpp>
///
/// glm::vec3 aVector(3);
/// glm::mat4 someMatrix(1.0);
///
/// glUniform3fv(uniformLoc, 1, glm::value_ptr(aVector));
/// glUniformMatrix4fv(uniformMatrixLoc, 1, GL_FALSE, glm::value_ptr(someMatrix));
/// @endcode
///
/// <glm/gtc/type_ptr.hpp> need to be included to use the features of this extension.
#pragma once
// Dependency:
#include "../gtc/quaternion.hpp"
#include "../gtc/vec1.hpp"
#include "../vec2.hpp"
#include "../vec3.hpp"
#include "../vec4.hpp"
#include "../mat2x2.hpp"
#include "../mat2x3.hpp"
#include "../mat2x4.hpp"
#include "../mat3x2.hpp"
#include "../mat3x3.hpp"
#include "../mat3x4.hpp"
#include "../mat4x2.hpp"
#include "../mat4x3.hpp"
#include "../mat4x4.hpp"
#include <cstring>
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_type_ptr extension included")
#endif
namespace glm
{
/// @addtogroup gtc_type_ptr
/// @{
/// Return the constant address to the data of the input parameter.
/// @see gtc_type_ptr
template<typename genType>
GLM_FUNC_DECL typename genType::value_type const * value_ptr(genType const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<1, T, Q> make_vec1(vec<1, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<1, T, Q> make_vec1(vec<2, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<1, T, Q> make_vec1(vec<3, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<1, T, Q> make_vec1(vec<4, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<2, T, Q> make_vec2(vec<1, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<2, T, Q> make_vec2(vec<2, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<2, T, Q> make_vec2(vec<3, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<2, T, Q> make_vec2(vec<4, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> make_vec3(vec<1, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> make_vec3(vec<2, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> make_vec3(vec<3, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<3, T, Q> make_vec3(vec<4, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<4, T, Q> make_vec4(vec<1, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<4, T, Q> make_vec4(vec<2, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<4, T, Q> make_vec4(vec<3, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template <typename T, qualifier Q>
GLM_FUNC_DECL vec<4, T, Q> make_vec4(vec<4, T, Q> const& v);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL vec<2, T, defaultp> make_vec2(T const * const ptr);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL vec<3, T, defaultp> make_vec3(T const * const ptr);
/// Build a vector from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL vec<4, T, defaultp> make_vec4(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<2, 2, T, defaultp> make_mat2x2(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<2, 3, T, defaultp> make_mat2x3(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<2, 4, T, defaultp> make_mat2x4(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<3, 2, T, defaultp> make_mat3x2(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<3, 3, T, defaultp> make_mat3x3(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<3, 4, T, defaultp> make_mat3x4(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<4, 2, T, defaultp> make_mat4x2(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<4, 3, T, defaultp> make_mat4x3(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> make_mat4x4(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<2, 2, T, defaultp> make_mat2(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<3, 3, T, defaultp> make_mat3(T const * const ptr);
/// Build a matrix from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL mat<4, 4, T, defaultp> make_mat4(T const * const ptr);
/// Build a quaternion from a pointer.
/// @see gtc_type_ptr
template<typename T>
GLM_FUNC_DECL qua<T, defaultp> make_quat(T const * const ptr);
/// @}
}//namespace glm
#include "type_ptr.inl"

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/// @ref gtc_type_ptr
#include <cstring>
namespace glm
{
/// @addtogroup gtc_type_ptr
/// @{
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(vec<2, T, Q> const& v)
{
return &(v.x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(vec<2, T, Q>& v)
{
return &(v.x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const * value_ptr(vec<3, T, Q> const& v)
{
return &(v.x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(vec<3, T, Q>& v)
{
return &(v.x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(vec<4, T, Q> const& v)
{
return &(v.x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(vec<4, T, Q>& v)
{
return &(v.x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(mat<2, 2, T, Q> const& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(mat<2, 2, T, Q>& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(mat<3, 3, T, Q> const& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(mat<3, 3, T, Q>& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(mat<4, 4, T, Q> const& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(mat<4, 4, T, Q>& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(mat<2, 3, T, Q> const& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(mat<2, 3, T, Q>& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(mat<3, 2, T, Q> const& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(mat<3, 2, T, Q>& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(mat<2, 4, T, Q> const& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(mat<2, 4, T, Q>& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(mat<4, 2, T, Q> const& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(mat<4, 2, T, Q>& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(mat<3, 4, T, Q> const& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(mat<3, 4, T, Q>& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const* value_ptr(mat<4, 3, T, Q> const& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T * value_ptr(mat<4, 3, T, Q>& m)
{
return &(m[0].x);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T const * value_ptr(qua<T, Q> const& q)
{
return &(q[0]);
}
template<typename T, qualifier Q>
GLM_FUNC_QUALIFIER T* value_ptr(qua<T, Q>& q)
{
return &(q[0]);
}
template <typename T, qualifier Q>
inline vec<1, T, Q> make_vec1(vec<1, T, Q> const& v)
{
return v;
}
template <typename T, qualifier Q>
inline vec<1, T, Q> make_vec1(vec<2, T, Q> const& v)
{
return vec<1, T, Q>(v);
}
template <typename T, qualifier Q>
inline vec<1, T, Q> make_vec1(vec<3, T, Q> const& v)
{
return vec<1, T, Q>(v);
}
template <typename T, qualifier Q>
inline vec<1, T, Q> make_vec1(vec<4, T, Q> const& v)
{
return vec<1, T, Q>(v);
}
template <typename T, qualifier Q>
inline vec<2, T, Q> make_vec2(vec<1, T, Q> const& v)
{
return vec<2, T, Q>(v.x, static_cast<T>(0));
}
template <typename T, qualifier Q>
inline vec<2, T, Q> make_vec2(vec<2, T, Q> const& v)
{
return v;
}
template <typename T, qualifier Q>
inline vec<2, T, Q> make_vec2(vec<3, T, Q> const& v)
{
return vec<2, T, Q>(v);
}
template <typename T, qualifier Q>
inline vec<2, T, Q> make_vec2(vec<4, T, Q> const& v)
{
return vec<2, T, Q>(v);
}
template <typename T, qualifier Q>
inline vec<3, T, Q> make_vec3(vec<1, T, Q> const& v)
{
return vec<3, T, Q>(v.x, static_cast<T>(0), static_cast<T>(0));
}
template <typename T, qualifier Q>
inline vec<3, T, Q> make_vec3(vec<2, T, Q> const& v)
{
return vec<3, T, Q>(v.x, v.y, static_cast<T>(0));
}
template <typename T, qualifier Q>
inline vec<3, T, Q> make_vec3(vec<3, T, Q> const& v)
{
return v;
}
template <typename T, qualifier Q>
inline vec<3, T, Q> make_vec3(vec<4, T, Q> const& v)
{
return vec<3, T, Q>(v);
}
template <typename T, qualifier Q>
inline vec<4, T, Q> make_vec4(vec<1, T, Q> const& v)
{
return vec<4, T, Q>(v.x, static_cast<T>(0), static_cast<T>(0), static_cast<T>(1));
}
template <typename T, qualifier Q>
inline vec<4, T, Q> make_vec4(vec<2, T, Q> const& v)
{
return vec<4, T, Q>(v.x, v.y, static_cast<T>(0), static_cast<T>(1));
}
template <typename T, qualifier Q>
inline vec<4, T, Q> make_vec4(vec<3, T, Q> const& v)
{
return vec<4, T, Q>(v.x, v.y, v.z, static_cast<T>(1));
}
template <typename T, qualifier Q>
inline vec<4, T, Q> make_vec4(vec<4, T, Q> const& v)
{
return v;
}
template<typename T>
GLM_FUNC_QUALIFIER vec<2, T, defaultp> make_vec2(T const *const ptr)
{
vec<2, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(vec<2, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER vec<3, T, defaultp> make_vec3(T const *const ptr)
{
vec<3, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(vec<3, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER vec<4, T, defaultp> make_vec4(T const *const ptr)
{
vec<4, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(vec<4, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<2, 2, T, defaultp> make_mat2x2(T const *const ptr)
{
mat<2, 2, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(mat<2, 2, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<2, 3, T, defaultp> make_mat2x3(T const *const ptr)
{
mat<2, 3, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(mat<2, 3, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<2, 4, T, defaultp> make_mat2x4(T const *const ptr)
{
mat<2, 4, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(mat<2, 4, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<3, 2, T, defaultp> make_mat3x2(T const *const ptr)
{
mat<3, 2, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(mat<3, 2, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<3, 3, T, defaultp> make_mat3x3(T const *const ptr)
{
mat<3, 3, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(mat<3, 3, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<3, 4, T, defaultp> make_mat3x4(T const *const ptr)
{
mat<3, 4, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(mat<3, 4, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 2, T, defaultp> make_mat4x2(T const *const ptr)
{
mat<4, 2, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(mat<4, 2, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 3, T, defaultp> make_mat4x3(T const *const ptr)
{
mat<4, 3, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(mat<4, 3, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> make_mat4x4(T const *const ptr)
{
mat<4, 4, T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(mat<4, 4, T, defaultp>));
return Result;
}
template<typename T>
GLM_FUNC_QUALIFIER mat<2, 2, T, defaultp> make_mat2(T const *const ptr)
{
return make_mat2x2(ptr);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<3, 3, T, defaultp> make_mat3(T const *const ptr)
{
return make_mat3x3(ptr);
}
template<typename T>
GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> make_mat4(T const *const ptr)
{
return make_mat4x4(ptr);
}
template<typename T>
GLM_FUNC_QUALIFIER qua<T, defaultp> make_quat(T const *const ptr)
{
qua<T, defaultp> Result;
memcpy(value_ptr(Result), ptr, sizeof(qua<T, defaultp>));
return Result;
}
/// @}
}//namespace glm

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/// @ref gtc_ulp
/// @file glm/gtc/ulp.hpp
///
/// @see core (dependence)
///
/// @defgroup gtc_ulp GLM_GTC_ulp
/// @ingroup gtc
///
/// Include <glm/gtc/ulp.hpp> to use the features of this extension.
///
/// Allow the measurement of the accuracy of a function against a reference
/// implementation. This extension works on floating-point data and provide results
/// in ULP.
#pragma once
// Dependencies
#include "../detail/setup.hpp"
#include "../detail/qualifier.hpp"
#include "../detail/_vectorize.hpp"
#include "../ext/scalar_int_sized.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_ulp extension included")
#endif
namespace glm
{
/// Return the next ULP value(s) after the input value(s).
///
/// @tparam genType A floating-point scalar type.
///
/// @see gtc_ulp
template<typename genType>
GLM_FUNC_DECL genType next_float(genType x);
/// Return the previous ULP value(s) before the input value(s).
///
/// @tparam genType A floating-point scalar type.
///
/// @see gtc_ulp
template<typename genType>
GLM_FUNC_DECL genType prev_float(genType x);
/// Return the value(s) ULP distance after the input value(s).
///
/// @tparam genType A floating-point scalar type.
///
/// @see gtc_ulp
template<typename genType>
GLM_FUNC_DECL genType next_float(genType x, int ULPs);
/// Return the value(s) ULP distance before the input value(s).
///
/// @tparam genType A floating-point scalar type.
///
/// @see gtc_ulp
template<typename genType>
GLM_FUNC_DECL genType prev_float(genType x, int ULPs);
/// Return the distance in the number of ULP between 2 single-precision floating-point scalars.
///
/// @see gtc_ulp
GLM_FUNC_DECL int float_distance(float x, float y);
/// Return the distance in the number of ULP between 2 double-precision floating-point scalars.
///
/// @see gtc_ulp
GLM_FUNC_DECL int64 float_distance(double x, double y);
/// Return the next ULP value(s) after the input value(s).
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point
/// @tparam Q Value from qualifier enum
///
/// @see gtc_ulp
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> next_float(vec<L, T, Q> const& x);
/// Return the value(s) ULP distance after the input value(s).
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point
/// @tparam Q Value from qualifier enum
///
/// @see gtc_ulp
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> next_float(vec<L, T, Q> const& x, int ULPs);
/// Return the value(s) ULP distance after the input value(s).
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point
/// @tparam Q Value from qualifier enum
///
/// @see gtc_ulp
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> next_float(vec<L, T, Q> const& x, vec<L, int, Q> const& ULPs);
/// Return the previous ULP value(s) before the input value(s).
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point
/// @tparam Q Value from qualifier enum
///
/// @see gtc_ulp
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> prev_float(vec<L, T, Q> const& x);
/// Return the value(s) ULP distance before the input value(s).
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point
/// @tparam Q Value from qualifier enum
///
/// @see gtc_ulp
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> prev_float(vec<L, T, Q> const& x, int ULPs);
/// Return the value(s) ULP distance before the input value(s).
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point
/// @tparam Q Value from qualifier enum
///
/// @see gtc_ulp
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> prev_float(vec<L, T, Q> const& x, vec<L, int, Q> const& ULPs);
/// Return the distance in the number of ULP between 2 single-precision floating-point scalars.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam Q Value from qualifier enum
///
/// @see gtc_ulp
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, int, Q> float_distance(vec<L, float, Q> const& x, vec<L, float, Q> const& y);
/// Return the distance in the number of ULP between 2 double-precision floating-point scalars.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam Q Value from qualifier enum
///
/// @see gtc_ulp
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, int64, Q> float_distance(vec<L, double, Q> const& x, vec<L, double, Q> const& y);
/// @}
}//namespace glm
#include "ulp.inl"

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/// @ref gtc_ulp
#include "../ext/scalar_ulp.hpp"
namespace glm
{
template<>
GLM_FUNC_QUALIFIER float next_float(float x)
{
# if GLM_HAS_CXX11_STL
return std::nextafter(x, std::numeric_limits<float>::max());
# elif((GLM_COMPILER & GLM_COMPILER_VC) || ((GLM_COMPILER & GLM_COMPILER_INTEL) && (GLM_PLATFORM & GLM_PLATFORM_WINDOWS)))
return detail::nextafterf(x, FLT_MAX);
# elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
return __builtin_nextafterf(x, FLT_MAX);
# else
return nextafterf(x, FLT_MAX);
# endif
}
template<>
GLM_FUNC_QUALIFIER double next_float(double x)
{
# if GLM_HAS_CXX11_STL
return std::nextafter(x, std::numeric_limits<double>::max());
# elif((GLM_COMPILER & GLM_COMPILER_VC) || ((GLM_COMPILER & GLM_COMPILER_INTEL) && (GLM_PLATFORM & GLM_PLATFORM_WINDOWS)))
return detail::nextafter(x, std::numeric_limits<double>::max());
# elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
return __builtin_nextafter(x, DBL_MAX);
# else
return nextafter(x, DBL_MAX);
# endif
}
template<typename T>
GLM_FUNC_QUALIFIER T next_float(T x, int ULPs)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'next_float' only accept floating-point input");
assert(ULPs >= 0);
T temp = x;
for (int i = 0; i < ULPs; ++i)
temp = next_float(temp);
return temp;
}
GLM_FUNC_QUALIFIER float prev_float(float x)
{
# if GLM_HAS_CXX11_STL
return std::nextafter(x, std::numeric_limits<float>::min());
# elif((GLM_COMPILER & GLM_COMPILER_VC) || ((GLM_COMPILER & GLM_COMPILER_INTEL) && (GLM_PLATFORM & GLM_PLATFORM_WINDOWS)))
return detail::nextafterf(x, FLT_MIN);
# elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
return __builtin_nextafterf(x, FLT_MIN);
# else
return nextafterf(x, FLT_MIN);
# endif
}
GLM_FUNC_QUALIFIER double prev_float(double x)
{
# if GLM_HAS_CXX11_STL
return std::nextafter(x, std::numeric_limits<double>::min());
# elif((GLM_COMPILER & GLM_COMPILER_VC) || ((GLM_COMPILER & GLM_COMPILER_INTEL) && (GLM_PLATFORM & GLM_PLATFORM_WINDOWS)))
return _nextafter(x, DBL_MIN);
# elif(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
return __builtin_nextafter(x, DBL_MIN);
# else
return nextafter(x, DBL_MIN);
# endif
}
template<typename T>
GLM_FUNC_QUALIFIER T prev_float(T x, int ULPs)
{
GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'prev_float' only accept floating-point input");
assert(ULPs >= 0);
T temp = x;
for (int i = 0; i < ULPs; ++i)
temp = prev_float(temp);
return temp;
}
GLM_FUNC_QUALIFIER int float_distance(float x, float y)
{
detail::float_t<float> const a(x);
detail::float_t<float> const b(y);
return abs(a.i - b.i);
}
GLM_FUNC_QUALIFIER int64 float_distance(double x, double y)
{
detail::float_t<double> const a(x);
detail::float_t<double> const b(y);
return abs(a.i - b.i);
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> next_float(vec<L, T, Q> const& x)
{
vec<L, T, Q> Result;
for (length_t i = 0, n = Result.length(); i < n; ++i)
Result[i] = next_float(x[i]);
return Result;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> next_float(vec<L, T, Q> const& x, int ULPs)
{
vec<L, T, Q> Result;
for (length_t i = 0, n = Result.length(); i < n; ++i)
Result[i] = next_float(x[i], ULPs);
return Result;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> next_float(vec<L, T, Q> const& x, vec<L, int, Q> const& ULPs)
{
vec<L, T, Q> Result;
for (length_t i = 0, n = Result.length(); i < n; ++i)
Result[i] = next_float(x[i], ULPs[i]);
return Result;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> prev_float(vec<L, T, Q> const& x)
{
vec<L, T, Q> Result;
for (length_t i = 0, n = Result.length(); i < n; ++i)
Result[i] = prev_float(x[i]);
return Result;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> prev_float(vec<L, T, Q> const& x, int ULPs)
{
vec<L, T, Q> Result;
for (length_t i = 0, n = Result.length(); i < n; ++i)
Result[i] = prev_float(x[i], ULPs);
return Result;
}
template<length_t L, typename T, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, T, Q> prev_float(vec<L, T, Q> const& x, vec<L, int, Q> const& ULPs)
{
vec<L, T, Q> Result;
for (length_t i = 0, n = Result.length(); i < n; ++i)
Result[i] = prev_float(x[i], ULPs[i]);
return Result;
}
template<length_t L, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, int, Q> float_distance(vec<L, float, Q> const& x, vec<L, float, Q> const& y)
{
vec<L, int, Q> Result;
for (length_t i = 0, n = Result.length(); i < n; ++i)
Result[i] = float_distance(x[i], y[i]);
return Result;
}
template<length_t L, qualifier Q>
GLM_FUNC_QUALIFIER vec<L, int64, Q> float_distance(vec<L, double, Q> const& x, vec<L, double, Q> const& y)
{
vec<L, int64, Q> Result;
for (length_t i = 0, n = Result.length(); i < n; ++i)
Result[i] = float_distance(x[i], y[i]);
return Result;
}
}//namespace glm

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/// @ref gtc_vec1
/// @file glm/gtc/vec1.hpp
///
/// @see core (dependence)
///
/// @defgroup gtc_vec1 GLM_GTC_vec1
/// @ingroup gtc
///
/// Include <glm/gtc/vec1.hpp> to use the features of this extension.
///
/// Add vec1, ivec1, uvec1 and bvec1 types.
#pragma once
// Dependency:
#include "../ext/vector_bool1.hpp"
#include "../ext/vector_bool1_precision.hpp"
#include "../ext/vector_float1.hpp"
#include "../ext/vector_float1_precision.hpp"
#include "../ext/vector_double1.hpp"
#include "../ext/vector_double1_precision.hpp"
#include "../ext/vector_int1.hpp"
#include "../ext/vector_int1_sized.hpp"
#include "../ext/vector_uint1.hpp"
#include "../ext/vector_uint1_sized.hpp"
#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
# pragma message("GLM: GLM_GTC_vec1 extension included")
#endif