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394 lines
16 KiB
C++
394 lines
16 KiB
C++
///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
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/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// of this software and associated documentation files (the "Software"), to deal
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/// in the Software without restriction, including without limitation the rights
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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/// copies of the Software, and to permit persons to whom the Software is
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/// furnished to do so, subject to the following conditions:
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///
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/// The above copyright notice and this permission notice shall be included in
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/// all copies or substantial portions of the Software.
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///
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/// Restrictions:
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/// By making use of the Software for military purposes, you choose to make
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/// a Bunny unhappy.
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///
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/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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/// THE SOFTWARE.
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///
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/// @ref core
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/// @file glm/detail/func_integer.inl
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/// @date 2010-03-17 / 2011-06-15
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/// @author Christophe Riccio
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///////////////////////////////////////////////////////////////////////////////////
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#include "type_vec2.hpp"
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#include "type_vec3.hpp"
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#include "type_vec4.hpp"
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#include "type_int.hpp"
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#include "_vectorize.hpp"
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#if(GLM_ARCH != GLM_ARCH_PURE)
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#if(GLM_COMPILER & GLM_COMPILER_VC)
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# include <intrin.h>
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# pragma intrinsic(_BitScanReverse)
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#endif//(GLM_COMPILER & GLM_COMPILER_VC)
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#endif//(GLM_ARCH != GLM_ARCH_PURE)
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#include <limits>
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namespace glm{
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namespace detail
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{
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template <typename T>
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GLM_FUNC_QUALIFIER T mask(T Bits)
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{
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return Bits >= sizeof(T) * 8 ? ~static_cast<T>(0) : (static_cast<T>(1) << Bits) - static_cast<T>(1);
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}
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template <bool EXEC = false>
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struct compute_bitfieldReverseStep
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{
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template <typename T, glm::precision P, template <class, glm::precision> class vecType>
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T, T)
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{
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return v;
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}
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};
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template <>
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struct compute_bitfieldReverseStep<true>
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{
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template <typename T, glm::precision P, template <class, glm::precision> class vecType>
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T Mask, T Shift)
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{
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return (v & Mask) << Shift | (v & (~Mask)) >> Shift;
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}
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};
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template <bool EXEC = false>
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struct compute_bitfieldBitCountStep
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{
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template <typename T, glm::precision P, template <class, glm::precision> class vecType>
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T, T)
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{
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return v;
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}
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};
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template <>
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struct compute_bitfieldBitCountStep<true>
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{
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template <typename T, glm::precision P, template <class, glm::precision> class vecType>
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T Mask, T Shift)
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{
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return (v & Mask) + ((v >> Shift) & Mask);
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}
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};
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template <typename genIUType, size_t Bits>
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struct compute_findLSB
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{
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GLM_FUNC_QUALIFIER static int call(genIUType Value)
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{
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if(Value == 0)
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return -1;
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return glm::bitCount(~Value & (Value - static_cast<genIUType>(1)));
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}
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};
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# if GLM_HAS_BITSCAN_WINDOWS
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template <typename genIUType>
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struct compute_findLSB<genIUType, 32>
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{
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GLM_FUNC_QUALIFIER static int call(genIUType Value)
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{
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unsigned long Result(0);
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unsigned char IsNotNull = _BitScanForward(&Result, *reinterpret_cast<unsigned long*>(&Value));
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return IsNotNull ? int(Result) : -1;
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}
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};
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# if !((GLM_COMPILER & GLM_COMPILER_VC) && (GLM_MODEL == GLM_MODEL_32))
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template <typename genIUType>
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struct compute_findLSB<genIUType, 64>
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{
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GLM_FUNC_QUALIFIER static int call(genIUType Value)
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{
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unsigned long Result(0);
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unsigned char IsNotNull = _BitScanForward64(&Result, *reinterpret_cast<unsigned __int64*>(&Value));
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return IsNotNull ? int(Result) : -1;
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}
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};
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# endif
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# endif//GLM_HAS_BITSCAN_WINDOWS
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template <typename T, glm::precision P, template <class, glm::precision> class vecType, bool EXEC = true>
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struct compute_findMSB_step_vec
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{
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, T Shift)
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{
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return x | (x >> Shift);
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}
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};
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template <typename T, glm::precision P, template <typename, glm::precision> class vecType>
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struct compute_findMSB_step_vec<T, P, vecType, false>
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{
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GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x, T)
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{
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return x;
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}
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};
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template <typename T, glm::precision P, template <typename, glm::precision> class vecType, int>
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struct compute_findMSB_vec
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{
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GLM_FUNC_QUALIFIER static vecType<int, P> call(vecType<T, P> const & vec)
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{
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vecType<T, P> x(vec);
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x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 8>::call(x, static_cast<T>( 1));
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x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 8>::call(x, static_cast<T>( 2));
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x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 8>::call(x, static_cast<T>( 4));
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x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 16>::call(x, static_cast<T>( 8));
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x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 32>::call(x, static_cast<T>(16));
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x = compute_findMSB_step_vec<T, P, vecType, sizeof(T) * 8 >= 64>::call(x, static_cast<T>(32));
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return vecType<int, P>(sizeof(T) * 8 - 1) - glm::bitCount(~x);
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}
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};
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# if GLM_HAS_BITSCAN_WINDOWS
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template <typename genIUType>
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GLM_FUNC_QUALIFIER int compute_findMSB_32(genIUType Value)
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{
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unsigned long Result(0);
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unsigned char IsNotNull = _BitScanReverse(&Result, *reinterpret_cast<unsigned long*>(&Value));
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return IsNotNull ? int(Result) : -1;
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}
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template <typename T, glm::precision P, template <class, glm::precision> class vecType>
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struct compute_findMSB_vec<T, P, vecType, 32>
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{
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GLM_FUNC_QUALIFIER static vecType<int, P> call(vecType<T, P> const & x)
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{
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return detail::functor1<int, T, P, vecType>::call(compute_findMSB_32, x);
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}
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};
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# if !((GLM_COMPILER & GLM_COMPILER_VC) && (GLM_MODEL == GLM_MODEL_32))
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template <typename genIUType>
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GLM_FUNC_QUALIFIER int compute_findMSB_64(genIUType Value)
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{
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unsigned long Result(0);
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unsigned char IsNotNull = _BitScanReverse64(&Result, *reinterpret_cast<unsigned __int64*>(&Value));
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return IsNotNull ? int(Result) : -1;
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}
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template <typename T, glm::precision P, template <class, glm::precision> class vecType>
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struct compute_findMSB_vec<T, P, vecType, 64>
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{
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GLM_FUNC_QUALIFIER static vecType<int, P> call(vecType<T, P> const & x)
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{
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return detail::functor1<int, T, P, vecType>::call(compute_findMSB_64, x);
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}
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};
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# endif
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# endif//GLM_HAS_BITSCAN_WINDOWS
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}//namespace detail
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// uaddCarry
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GLM_FUNC_QUALIFIER uint uaddCarry(uint const & x, uint const & y, uint & Carry)
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{
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uint64 const Value64(static_cast<uint64>(x) + static_cast<uint64>(y));
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uint64 const Max32((static_cast<uint64>(1) << static_cast<uint64>(32)) - static_cast<uint64>(1));
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Carry = Value64 > Max32 ? 1 : 0;
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return static_cast<uint32>(Value64 % (Max32 + static_cast<uint64>(1)));
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}
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template <precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<uint, P> uaddCarry(vecType<uint, P> const & x, vecType<uint, P> const & y, vecType<uint, P> & Carry)
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{
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vecType<uint64, P> Value64(vecType<uint64, P>(x) + vecType<uint64, P>(y));
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vecType<uint64, P> Max32((static_cast<uint64>(1) << static_cast<uint64>(32)) - static_cast<uint64>(1));
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Carry = mix(vecType<uint32, P>(0), vecType<uint32, P>(1), greaterThan(Value64, Max32));
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return vecType<uint32,P>(Value64 % (Max32 + static_cast<uint64>(1)));
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}
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// usubBorrow
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GLM_FUNC_QUALIFIER uint usubBorrow(uint const & x, uint const & y, uint & Borrow)
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{
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GLM_STATIC_ASSERT(sizeof(uint) == sizeof(uint32), "uint and uint32 size mismatch");
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Borrow = x >= y ? static_cast<uint32>(0) : static_cast<uint32>(1);
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if(y >= x)
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return y - x;
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else
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return static_cast<uint32>((static_cast<int64>(1) << static_cast<int64>(32)) + (static_cast<int64>(y) - static_cast<int64>(x)));
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}
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template <precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<uint, P> usubBorrow(vecType<uint, P> const & x, vecType<uint, P> const & y, vecType<uint, P> & Borrow)
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{
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Borrow = mix(vecType<uint, P>(1), vecType<uint, P>(0), greaterThanEqual(x, y));
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vecType<uint, P> const YgeX(y - x);
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vecType<uint, P> const XgeY(vecType<uint32, P>((static_cast<int64>(1) << static_cast<int64>(32)) + (vecType<int64, P>(y) - vecType<int64, P>(x))));
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return mix(XgeY, YgeX, greaterThanEqual(y, x));
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}
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// umulExtended
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GLM_FUNC_QUALIFIER void umulExtended(uint const & x, uint const & y, uint & msb, uint & lsb)
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{
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GLM_STATIC_ASSERT(sizeof(uint) == sizeof(uint32), "uint and uint32 size mismatch");
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uint64 Value64 = static_cast<uint64>(x) * static_cast<uint64>(y);
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uint32* PointerMSB = (reinterpret_cast<uint32*>(&Value64) + 1);
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msb = *PointerMSB;
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uint32* PointerLSB = (reinterpret_cast<uint32*>(&Value64) + 0);
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lsb = *PointerLSB;
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}
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template <precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER void umulExtended(vecType<uint, P> const & x, vecType<uint, P> const & y, vecType<uint, P> & msb, vecType<uint, P> & lsb)
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{
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GLM_STATIC_ASSERT(sizeof(uint) == sizeof(uint32), "uint and uint32 size mismatch");
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vecType<uint64, P> Value64(vecType<uint64, P>(x) * vecType<uint64, P>(y));
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msb = vecType<uint32, P>(Value64 >> static_cast<uint64>(32));
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lsb = vecType<uint32, P>(Value64);
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}
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// imulExtended
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GLM_FUNC_QUALIFIER void imulExtended(int x, int y, int & msb, int & lsb)
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{
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GLM_STATIC_ASSERT(sizeof(int) == sizeof(int32), "int and int32 size mismatch");
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int64 Value64 = static_cast<int64>(x) * static_cast<int64>(y);
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int32* PointerMSB = (reinterpret_cast<int32*>(&Value64) + 1);
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msb = *PointerMSB;
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int32* PointerLSB = (reinterpret_cast<int32*>(&Value64));
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lsb = *PointerLSB;
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}
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template <precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER void imulExtended(vecType<int, P> const & x, vecType<int, P> const & y, vecType<int, P> & msb, vecType<int, P> & lsb)
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{
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GLM_STATIC_ASSERT(sizeof(int) == sizeof(int32), "int and int32 size mismatch");
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vecType<int64, P> Value64(vecType<int64, P>(x) * vecType<int64, P>(y));
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lsb = vecType<int32, P>(Value64 & static_cast<int64>(0xFFFFFFFF));
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msb = vecType<int32, P>((Value64 >> static_cast<int64>(32)) & static_cast<int64>(0xFFFFFFFF));
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}
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// bitfieldExtract
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template <typename genIUType>
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GLM_FUNC_QUALIFIER genIUType bitfieldExtract(genIUType Value, int Offset, int Bits)
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{
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return bitfieldExtract(tvec1<genIUType>(Value), Offset, Bits).x;
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<T, P> bitfieldExtract(vecType<T, P> const & Value, int Offset, int Bits)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'bitfieldExtract' only accept integer inputs");
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return (Value >> static_cast<T>(Offset)) & static_cast<T>(detail::mask(Bits));
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}
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// bitfieldInsert
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template <typename genIUType>
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GLM_FUNC_QUALIFIER genIUType bitfieldInsert(genIUType const & Base, genIUType const & Insert, int Offset, int Bits)
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{
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return bitfieldInsert(tvec1<genIUType>(Base), tvec1<genIUType>(Insert), Offset, Bits).x;
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<T, P> bitfieldInsert(vecType<T, P> const & Base, vecType<T, P> const & Insert, int Offset, int Bits)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'bitfieldInsert' only accept integer values");
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T const Mask = static_cast<T>(detail::mask(Bits) << Offset);
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return (Base & ~Mask) | (Insert & Mask);
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}
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// bitfieldReverse
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template <typename genType>
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GLM_FUNC_QUALIFIER genType bitfieldReverse(genType x)
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{
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return bitfieldReverse(glm::tvec1<genType, glm::defaultp>(x)).x;
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}
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template <typename T, glm::precision P, template <typename, glm::precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<T, P> bitfieldReverse(vecType<T, P> const & v)
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{
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vecType<T, P> x(v);
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x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 2>::call(x, T(0x5555555555555555ull), static_cast<T>( 1));
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x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 4>::call(x, T(0x3333333333333333ull), static_cast<T>( 2));
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x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 8>::call(x, T(0x0F0F0F0F0F0F0F0Full), static_cast<T>( 4));
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x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 16>::call(x, T(0x00FF00FF00FF00FFull), static_cast<T>( 8));
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x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 32>::call(x, T(0x0000FFFF0000FFFFull), static_cast<T>(16));
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x = detail::compute_bitfieldReverseStep<sizeof(T) * 8 >= 64>::call(x, T(0x00000000FFFFFFFFull), static_cast<T>(32));
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return x;
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}
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// bitCount
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template <typename genType>
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GLM_FUNC_QUALIFIER int bitCount(genType x)
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{
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return bitCount(glm::tvec1<genType, glm::defaultp>(x)).x;
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}
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template <typename T, glm::precision P, template <typename, glm::precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<int, P> bitCount(vecType<T, P> const & v)
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{
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vecType<typename detail::make_unsigned<T>::type, P> x(*reinterpret_cast<vecType<typename detail::make_unsigned<T>::type, P> const *>(&v));
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x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 2>::call(x, typename detail::make_unsigned<T>::type(0x5555555555555555ull), typename detail::make_unsigned<T>::type( 1));
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x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 4>::call(x, typename detail::make_unsigned<T>::type(0x3333333333333333ull), typename detail::make_unsigned<T>::type( 2));
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x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 8>::call(x, typename detail::make_unsigned<T>::type(0x0F0F0F0F0F0F0F0Full), typename detail::make_unsigned<T>::type( 4));
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x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 16>::call(x, typename detail::make_unsigned<T>::type(0x00FF00FF00FF00FFull), typename detail::make_unsigned<T>::type( 8));
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x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 32>::call(x, typename detail::make_unsigned<T>::type(0x0000FFFF0000FFFFull), typename detail::make_unsigned<T>::type(16));
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x = detail::compute_bitfieldBitCountStep<sizeof(T) * 8 >= 64>::call(x, typename detail::make_unsigned<T>::type(0x00000000FFFFFFFFull), typename detail::make_unsigned<T>::type(32));
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return vecType<int, P>(x);
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}
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// findLSB
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template <typename genIUType>
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GLM_FUNC_QUALIFIER int findLSB(genIUType Value)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'findLSB' only accept integer values");
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return detail::compute_findLSB<genIUType, sizeof(genIUType) * 8>::call(Value);
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<int, P> findLSB(vecType<T, P> const & x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'findLSB' only accept integer values");
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return detail::functor1<int, T, P, vecType>::call(findLSB, x);
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}
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// findMSB
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template <typename genIUType>
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GLM_FUNC_QUALIFIER int findMSB(genIUType x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'findMSB' only accept integer values");
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return findMSB(tvec1<genIUType>(x)).x;
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<int, P> findMSB(vecType<T, P> const & x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer, "'findMSB' only accept integer values");
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return detail::compute_findMSB_vec<T, P, vecType, sizeof(T) * 8>::call(x);
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}
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}//namespace glm
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