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664 lines
17 KiB
664 lines
17 KiB
/////////////////////////////////////////////////////////////////////////////////// |
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/// OpenGL Mathematics (glm.g-truc.net) |
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/// |
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/// Copyright (c) 2005 - 2013 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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/// 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/core/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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|
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namespace glm |
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{ |
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// uaddCarry |
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template <typename genUType> |
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GLM_FUNC_QUALIFIER genUType uaddCarry |
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( |
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genUType const & x, |
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genUType const & y, |
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genUType & Carry |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<genUType>::is_integer && !std::numeric_limits<genUType>::is_signed, "'uaddCarry' only accept unsigned integer inputs"); |
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|
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uint64 Value64 = static_cast<uint64>(x) + static_cast<uint64>(y); |
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genUType Result = genUType(Value64 % (static_cast<uint64>(1) << static_cast<uint64>(32))); |
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Carry = (Value64 % (static_cast<uint64>(1) << static_cast<uint64>(32))) > 1 ? static_cast<genUType>(1) : static_cast<genUType>(0); |
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return Result; |
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} |
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|
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec2<T, P> uaddCarry |
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( |
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detail::tvec2<T, P> const & x, |
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detail::tvec2<T, P> const & y, |
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detail::tvec2<T, P> & Carry |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer && !std::numeric_limits<T>::is_signed, "'uaddCarry' only accept unsigned integer inputs"); |
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|
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return detail::tvec2<T, P>( |
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uaddCarry(x[0], y[0], Carry[0]), |
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uaddCarry(x[1], y[1], Carry[1])); |
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} |
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|
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec3<T, P> uaddCarry |
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( |
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detail::tvec3<T, P> const & x, |
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detail::tvec3<T, P> const & y, |
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detail::tvec3<T, P> & Carry |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer && !std::numeric_limits<T>::is_signed, "'uaddCarry' only accept unsigned integer inputs"); |
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|
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return detail::tvec3<T, P>( |
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uaddCarry(x[0], y[0], Carry[0]), |
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uaddCarry(x[1], y[1], Carry[1]), |
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uaddCarry(x[2], y[2], Carry[2])); |
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} |
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|
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec4<T, P> uaddCarry |
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( |
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detail::tvec4<T, P> const & x, |
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detail::tvec4<T, P> const & y, |
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detail::tvec4<T, P> & Carry |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer && !std::numeric_limits<T>::is_signed, "'uaddCarry' only accept unsigned integer inputs"); |
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|
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return detail::tvec4<T, P>( |
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uaddCarry(x[0], y[0], Carry[0]), |
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uaddCarry(x[1], y[1], Carry[1]), |
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uaddCarry(x[2], y[2], Carry[2]), |
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uaddCarry(x[3], y[3], Carry[3])); |
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} |
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|
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// usubBorrow |
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template <typename genUType> |
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GLM_FUNC_QUALIFIER genUType usubBorrow |
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( |
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genUType const & x, |
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genUType const & y, |
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genUType & Borrow |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<genUType>::is_integer && !std::numeric_limits<genUType>::is_signed, "'usubBorrow' only accept unsigned integer inputs"); |
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Borrow = x >= y ? static_cast<genUType>(0) : static_cast<genUType>(1); |
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if(x > y) |
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return static_cast<genUType>(static_cast<int64>(x) -static_cast<int64>(y)); |
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else |
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return static_cast<genUType>((static_cast<int64>(1) << static_cast<int64>(32)) + static_cast<int64>(x) - static_cast<int64>(y)); |
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} |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec2<T, P> usubBorrow |
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( |
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detail::tvec2<T, P> const & x, |
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detail::tvec2<T, P> const & y, |
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detail::tvec2<T, P> & Borrow |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer && !std::numeric_limits<T>::is_signed, "'usubBorrow' only accept unsigned integer inputs"); |
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|
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return detail::tvec2<T, P>( |
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usubBorrow(x[0], y[0], Borrow[0]), |
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usubBorrow(x[1], y[1], Borrow[1])); |
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} |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec3<T, P> usubBorrow |
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( |
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detail::tvec3<T, P> const & x, |
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detail::tvec3<T, P> const & y, |
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detail::tvec3<T, P> & Borrow |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer && !std::numeric_limits<T>::is_signed, "'usubBorrow' only accept unsigned integer inputs"); |
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return detail::tvec3<T, P>( |
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usubBorrow(x[0], y[0], Borrow[0]), |
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usubBorrow(x[1], y[1], Borrow[1]), |
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usubBorrow(x[2], y[2], Borrow[2])); |
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} |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec4<T, P> usubBorrow |
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( |
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detail::tvec4<T, P> const & x, |
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detail::tvec4<T, P> const & y, |
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detail::tvec4<T, P> & Borrow |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_integer && !std::numeric_limits<T>::is_signed, "'usubBorrow' only accept unsigned integer inputs"); |
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return detail::tvec4<T, P>( |
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usubBorrow(x[0], y[0], Borrow[0]), |
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usubBorrow(x[1], y[1], Borrow[1]), |
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usubBorrow(x[2], y[2], Borrow[2]), |
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usubBorrow(x[3], y[3], Borrow[3])); |
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} |
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// umulExtended |
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template <> |
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GLM_FUNC_QUALIFIER void umulExtended |
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( |
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uint const & x, |
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uint const & y, |
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uint & msb, |
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uint & lsb |
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) |
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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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msb = *(reinterpret_cast<uint32*>(&Value64) + 1); |
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lsb = reinterpret_cast<uint32&>(Value64); |
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} |
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template <> |
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GLM_FUNC_QUALIFIER void umulExtended |
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( |
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uvec2 const & x, |
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uvec2 const & y, |
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uvec2 & msb, |
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uvec2 & lsb |
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) |
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{ |
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umulExtended(x[0], y[0], msb[0], lsb[0]); |
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umulExtended(x[1], y[1], msb[1], lsb[1]); |
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} |
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template <> |
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GLM_FUNC_QUALIFIER void umulExtended |
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( |
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uvec3 const & x, |
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uvec3 const & y, |
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uvec3 & msb, |
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uvec3 & lsb |
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) |
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{ |
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umulExtended(x[0], y[0], msb[0], lsb[0]); |
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umulExtended(x[1], y[1], msb[1], lsb[1]); |
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umulExtended(x[2], y[2], msb[2], lsb[2]); |
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} |
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template <> |
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GLM_FUNC_QUALIFIER void umulExtended |
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( |
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uvec4 const & x, |
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uvec4 const & y, |
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uvec4 & msb, |
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uvec4 & lsb |
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) |
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{ |
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umulExtended(x[0], y[0], msb[0], lsb[0]); |
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umulExtended(x[1], y[1], msb[1], lsb[1]); |
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umulExtended(x[2], y[2], msb[2], lsb[2]); |
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umulExtended(x[3], y[3], msb[3], lsb[3]); |
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} |
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|
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// imulExtended |
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template <> |
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GLM_FUNC_QUALIFIER void imulExtended |
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( |
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int const & x, |
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int const & y, |
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int & msb, |
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int & lsb |
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) |
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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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msb = *(reinterpret_cast<int32*>(&Value64) + 1); |
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lsb = reinterpret_cast<int32&>(Value64); |
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} |
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template <> |
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GLM_FUNC_QUALIFIER void imulExtended |
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( |
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ivec2 const & x, |
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ivec2 const & y, |
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ivec2 & msb, |
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ivec2 & lsb |
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) |
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{ |
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imulExtended(x[0], y[0], msb[0], lsb[0]), |
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imulExtended(x[1], y[1], msb[1], lsb[1]); |
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} |
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template <> |
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GLM_FUNC_QUALIFIER void imulExtended |
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( |
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ivec3 const & x, |
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ivec3 const & y, |
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ivec3 & msb, |
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ivec3 & lsb |
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) |
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{ |
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imulExtended(x[0], y[0], msb[0], lsb[0]), |
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imulExtended(x[1], y[1], msb[1], lsb[1]); |
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imulExtended(x[2], y[2], msb[2], lsb[2]); |
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} |
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template <> |
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GLM_FUNC_QUALIFIER void imulExtended |
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( |
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ivec4 const & x, |
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ivec4 const & y, |
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ivec4 & msb, |
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ivec4 & lsb |
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) |
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{ |
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imulExtended(x[0], y[0], msb[0], lsb[0]), |
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imulExtended(x[1], y[1], msb[1], lsb[1]); |
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imulExtended(x[2], y[2], msb[2], lsb[2]); |
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imulExtended(x[3], y[3], msb[3], lsb[3]); |
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} |
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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 |
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( |
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genIUType const & Value, |
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int const & Offset, |
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int const & Bits |
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) |
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{ |
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int GenSize = int(sizeof(genIUType)) << int(3); |
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assert(Offset + Bits <= GenSize); |
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genIUType ShiftLeft = Bits ? Value << (GenSize - (Bits + Offset)) : genIUType(0); |
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genIUType ShiftBack = ShiftLeft >> genIUType(GenSize - Bits); |
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return ShiftBack; |
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} |
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec2<T, P> bitfieldExtract |
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( |
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detail::tvec2<T, P> const & Value, |
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int const & Offset, |
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int const & Bits |
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) |
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{ |
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return detail::tvec2<T, P>( |
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bitfieldExtract(Value[0], Offset, Bits), |
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bitfieldExtract(Value[1], Offset, Bits)); |
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} |
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|
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec3<T, P> bitfieldExtract |
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( |
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detail::tvec3<T, P> const & Value, |
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int const & Offset, |
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int const & Bits |
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) |
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{ |
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return detail::tvec3<T, P>( |
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bitfieldExtract(Value[0], Offset, Bits), |
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bitfieldExtract(Value[1], Offset, Bits), |
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bitfieldExtract(Value[2], Offset, Bits)); |
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} |
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|
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec4<T, P> bitfieldExtract |
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( |
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detail::tvec4<T, P> const & Value, |
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int const & Offset, |
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int const & Bits |
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) |
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{ |
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return detail::tvec4<T, P>( |
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bitfieldExtract(Value[0], Offset, Bits), |
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bitfieldExtract(Value[1], Offset, Bits), |
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bitfieldExtract(Value[2], Offset, Bits), |
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bitfieldExtract(Value[3], Offset, Bits)); |
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} |
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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 |
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( |
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genIUType const & Base, |
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genIUType const & Insert, |
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int const & Offset, |
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int const & Bits |
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) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'bitfieldInsert' only accept integer values"); |
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assert(Offset + Bits <= sizeof(genIUType)); |
|
|
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if(Bits == 0) |
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return Base; |
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genIUType Mask = 0; |
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for(int Bit = Offset; Bit < Offset + Bits; ++Bit) |
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Mask |= (1 << Bit); |
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|
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return (Base & ~Mask) | (Insert & Mask); |
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} |
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|
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec2<T, P> bitfieldInsert |
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( |
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detail::tvec2<T, P> const & Base, |
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detail::tvec2<T, P> const & Insert, |
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int const & Offset, |
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int const & Bits |
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) |
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{ |
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return detail::tvec2<T, P>( |
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bitfieldInsert(Base[0], Insert[0], Offset, Bits), |
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bitfieldInsert(Base[1], Insert[1], Offset, Bits)); |
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} |
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|
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec3<T, P> bitfieldInsert |
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( |
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detail::tvec3<T, P> const & Base, |
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detail::tvec3<T, P> const & Insert, |
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int const & Offset, |
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int const & Bits |
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) |
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{ |
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return detail::tvec3<T, P>( |
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bitfieldInsert(Base[0], Insert[0], Offset, Bits), |
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bitfieldInsert(Base[1], Insert[1], Offset, Bits), |
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bitfieldInsert(Base[2], Insert[2], Offset, Bits)); |
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} |
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|
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template <typename T, precision P> |
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GLM_FUNC_QUALIFIER detail::tvec4<T, P> bitfieldInsert |
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( |
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detail::tvec4<T, P> const & Base, |
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detail::tvec4<T, P> const & Insert, |
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int const & Offset, |
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int const & Bits |
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) |
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{ |
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return detail::tvec4<T, P>( |
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bitfieldInsert(Base[0], Insert[0], Offset, Bits), |
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bitfieldInsert(Base[1], Insert[1], Offset, Bits), |
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bitfieldInsert(Base[2], Insert[2], Offset, Bits), |
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bitfieldInsert(Base[3], Insert[3], Offset, Bits)); |
|
} |
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|
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// bitfieldReverse |
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template <typename genIUType> |
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GLM_FUNC_QUALIFIER genIUType bitfieldReverse(genIUType const & Value) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'bitfieldReverse' only accept integer values"); |
|
|
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genIUType Out = 0; |
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std::size_t BitSize = sizeof(genIUType) * 8; |
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for(std::size_t i = 0; i < BitSize; ++i) |
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if(Value & (genIUType(1) << i)) |
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Out |= genIUType(1) << (BitSize - 1 - i); |
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return Out; |
|
} |
|
|
|
VECTORIZE_VEC(bitfieldReverse) |
|
|
|
// bitCount |
|
template <typename genIUType> |
|
GLM_FUNC_QUALIFIER int bitCount(genIUType const & Value) |
|
{ |
|
GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'bitCount' only accept integer values"); |
|
|
|
int Count = 0; |
|
for(std::size_t i = 0; i < sizeof(genIUType) * std::size_t(8); ++i) |
|
{ |
|
if(Value & (1 << i)) |
|
++Count; |
|
} |
|
return Count; |
|
} |
|
|
|
template <typename T, precision P> |
|
GLM_FUNC_QUALIFIER detail::tvec2<int, P> bitCount |
|
( |
|
detail::tvec2<T, P> const & value |
|
) |
|
{ |
|
return detail::tvec2<int, P>( |
|
bitCount(value[0]), |
|
bitCount(value[1])); |
|
} |
|
|
|
template <typename T, precision P> |
|
GLM_FUNC_QUALIFIER detail::tvec3<int, P> bitCount |
|
( |
|
detail::tvec3<T, P> const & value |
|
) |
|
{ |
|
return detail::tvec3<int, P>( |
|
bitCount(value[0]), |
|
bitCount(value[1]), |
|
bitCount(value[2])); |
|
} |
|
|
|
template <typename T, precision P> |
|
GLM_FUNC_QUALIFIER detail::tvec4<int, P> bitCount |
|
( |
|
detail::tvec4<T, P> const & value |
|
) |
|
{ |
|
return detail::tvec4<int, P>( |
|
bitCount(value[0]), |
|
bitCount(value[1]), |
|
bitCount(value[2]), |
|
bitCount(value[3])); |
|
} |
|
|
|
// findLSB |
|
template <typename genIUType> |
|
GLM_FUNC_QUALIFIER int findLSB |
|
( |
|
genIUType const & Value |
|
) |
|
{ |
|
GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'findLSB' only accept integer values"); |
|
if(Value == 0) |
|
return -1; |
|
|
|
genIUType Bit; |
|
for(Bit = genIUType(0); !(Value & (1 << Bit)); ++Bit){} |
|
return Bit; |
|
} |
|
|
|
template <typename T, precision P> |
|
GLM_FUNC_QUALIFIER detail::tvec2<int, P> findLSB |
|
( |
|
detail::tvec2<T, P> const & value |
|
) |
|
{ |
|
return detail::tvec2<int, P>( |
|
findLSB(value[0]), |
|
findLSB(value[1])); |
|
} |
|
|
|
template <typename T, precision P> |
|
GLM_FUNC_QUALIFIER detail::tvec3<int, P> findLSB |
|
( |
|
detail::tvec3<T, P> const & value |
|
) |
|
{ |
|
return detail::tvec3<int, P>( |
|
findLSB(value[0]), |
|
findLSB(value[1]), |
|
findLSB(value[2])); |
|
} |
|
|
|
template <typename T, precision P> |
|
GLM_FUNC_QUALIFIER detail::tvec4<int, P> findLSB |
|
( |
|
detail::tvec4<T, P> const & value |
|
) |
|
{ |
|
return detail::tvec4<int, P>( |
|
findLSB(value[0]), |
|
findLSB(value[1]), |
|
findLSB(value[2]), |
|
findLSB(value[3])); |
|
} |
|
|
|
// findMSB |
|
#if((GLM_ARCH != GLM_ARCH_PURE) && (GLM_COMPILER & GLM_COMPILER_VC)) |
|
|
|
template <typename genIUType> |
|
GLM_FUNC_QUALIFIER int findMSB |
|
( |
|
genIUType const & Value |
|
) |
|
{ |
|
GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'findMSB' only accept integer values"); |
|
if(Value == 0) |
|
return -1; |
|
|
|
unsigned long Result(0); |
|
_BitScanReverse(&Result, Value); |
|
return int(Result); |
|
} |
|
/* |
|
// __builtin_clz seems to be buggy as it crasks for some values, from 0x00200000 to 80000000 |
|
#elif((GLM_ARCH != GLM_ARCH_PURE) && (GLM_COMPILER & GLM_COMPILER_GCC) && (GLM_COMPILER >= GLM_COMPILER_GCC40)) |
|
|
|
template <typename genIUType> |
|
GLM_FUNC_QUALIFIER int findMSB |
|
( |
|
genIUType const & Value |
|
) |
|
{ |
|
GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'findMSB' only accept integer values"); |
|
if(Value == 0) |
|
return -1; |
|
|
|
// clz returns the number or trailing 0-bits; see |
|
// http://gcc.gnu.org/onlinedocs/gcc-4.7.1/gcc/Other-Builtins.html |
|
// |
|
// NoteBecause __builtin_clz only works for unsigned ints, this |
|
// implementation will not work for 64-bit integers. |
|
// |
|
return 31 - __builtin_clzl(Value); |
|
} |
|
*/ |
|
#else |
|
|
|
/* SSE implementation idea |
|
|
|
__m128i const Zero = _mm_set_epi32( 0, 0, 0, 0); |
|
__m128i const One = _mm_set_epi32( 1, 1, 1, 1); |
|
__m128i Bit = _mm_set_epi32(-1, -1, -1, -1); |
|
__m128i Tmp = _mm_set_epi32(Value, Value, Value, Value); |
|
__m128i Mmi = Zero; |
|
for(int i = 0; i < 32; ++i) |
|
{ |
|
__m128i Shilt = _mm_and_si128(_mm_cmpgt_epi32(Tmp, One), One); |
|
Tmp = _mm_srai_epi32(Tmp, One); |
|
Bit = _mm_add_epi32(Bit, _mm_and_si128(Shilt, i)); |
|
Mmi = _mm_and_si128(Mmi, One); |
|
} |
|
return Bit; |
|
|
|
*/ |
|
|
|
template <typename genIUType> |
|
GLM_FUNC_QUALIFIER int findMSB |
|
( |
|
genIUType const & Value |
|
) |
|
{ |
|
GLM_STATIC_ASSERT(std::numeric_limits<genIUType>::is_integer, "'findMSB' only accept integer values"); |
|
|
|
if(Value == genIUType(0) || Value == genIUType(-1)) |
|
return -1; |
|
else if(Value > 0) |
|
{ |
|
genIUType Bit = genIUType(-1); |
|
for(genIUType tmp = Value; tmp > 0; tmp >>= 1, ++Bit){} |
|
return Bit; |
|
} |
|
else //if(Value < 0) |
|
{ |
|
int const BitCount(sizeof(genIUType) * 8); |
|
int MostSignificantBit(-1); |
|
for(int BitIndex(0); BitIndex < BitCount; ++BitIndex) |
|
MostSignificantBit = (Value & (1 << BitIndex)) ? MostSignificantBit : BitIndex; |
|
assert(MostSignificantBit >= 0); |
|
return MostSignificantBit; |
|
} |
|
} |
|
#endif//(GLM_COMPILER) |
|
|
|
template <typename T, precision P> |
|
GLM_FUNC_QUALIFIER detail::tvec2<int, P> findMSB |
|
( |
|
detail::tvec2<T, P> const & value |
|
) |
|
{ |
|
return detail::tvec2<int, P>( |
|
findMSB(value[0]), |
|
findMSB(value[1])); |
|
} |
|
|
|
template <typename T, precision P> |
|
GLM_FUNC_QUALIFIER detail::tvec3<int, P> findMSB |
|
( |
|
detail::tvec3<T, P> const & value |
|
) |
|
{ |
|
return detail::tvec3<int, P>( |
|
findMSB(value[0]), |
|
findMSB(value[1]), |
|
findMSB(value[2])); |
|
} |
|
|
|
template <typename T, precision P> |
|
GLM_FUNC_QUALIFIER detail::tvec4<int, P> findMSB |
|
( |
|
detail::tvec4<T, P> const & value |
|
) |
|
{ |
|
return detail::tvec4<int, P>( |
|
findMSB(value[0]), |
|
findMSB(value[1]), |
|
findMSB(value[2]), |
|
findMSB(value[3])); |
|
} |
|
}//namespace glm
|
|
|