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Added nlz, improved int log2, optimized findMSB with intrinsics
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@ -26,6 +26,11 @@
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/// @author Christophe Riccio
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///////////////////////////////////////////////////////////////////////////////////
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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
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namespace glm
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{
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// uaddCarry
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@ -550,6 +555,32 @@ namespace glm
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}
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// findMSB
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#if(GLM_COMPILER & GLM_COMPILER_VC)
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template <typename genIUType>
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GLM_FUNC_QUALIFIER int findMSB
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(
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genIUType const & Value
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)
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{
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unsigned long Result(0);
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_BitScanReverse(&Result, Value);
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return int(Result);
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}
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#elif((GLM_COMPILER & GLM_COMPILER_GCC) && __has_builtin(__builtin_clz))
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template <typename genIUType>
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GLM_FUNC_QUALIFIER int findMSB
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(
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genIUType const & Value
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)
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{
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return __builtin_clz(x);
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}
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#else
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template <typename genIUType>
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GLM_FUNC_QUALIFIER int findMSB
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(
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@ -564,6 +595,7 @@ namespace glm
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for(genIUType tmp = Value; tmp; tmp >>= 1, ++bit){}
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return bit;
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}
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#endif//(GLM_COMPILER)
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template <typename T>
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GLM_FUNC_QUALIFIER detail::tvec2<int> findMSB
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@ -58,10 +58,14 @@ namespace glm
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//! From GLM_GTX_integer extension.
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int sqrt(int x);
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//! Returns the log2 of x.
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//! Returns the log2 of x. Can be reliably using to compute mipmap count from the texture size.
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//! From GLM_GTX_integer extension.
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unsigned int log2(unsigned int x);
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//! Returns the floor log2 of x.
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//! From GLM_GTX_integer extension.
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unsigned int floor_log2(unsigned int x);
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//! Modulus. Returns x - y * floor(x / y) for each component in x using the floating point value y.
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//! From GLM_GTX_integer extension.
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int mod(int x, int y);
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@ -72,21 +76,25 @@ namespace glm
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genType factorial(genType const & x);
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//! 32bit signed integer.
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//! From GLM_GTX_unsigned_int extension.
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//! From GLM_GTX_integer extension.
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typedef signed int sint;
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//! Returns x raised to the y power.
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//! From GLM_GTX_unsigned_int extension.
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//! From GLM_GTX_integer extension.
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uint pow(uint x, uint y);
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//! Returns the positive square root of x.
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//! From GLM_GTX_unsigned_int extension.
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//! From GLM_GTX_integer extension.
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uint sqrt(uint x);
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//! Modulus. Returns x - y * floor(x / y) for each component in x using the floating point value y.
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//! From GLM_GTX_unsigned_int extension.
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//! From GLM_GTX_integer extension.
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uint mod(uint x, uint y);
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//! Returns the number of leading zeros.
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//! From GLM_GTX_integer extension.
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uint nlz(uint x);
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/// @}
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}//namespace glm
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@ -54,10 +54,18 @@ namespace detail
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return(x & 0x0000003f);
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}
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}//namespace detail
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/*
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// Henry Gordon Dietz: http://aggregate.org/MAGIC/
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GLM_FUNC_QUALIFIER unsigned int log2(unsigned int x)
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{
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return unsigned(32) - nlz(x - 1u);
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//if(x <= 1)
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// return 0;
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//return unsigned(32) - findLSB(x) - 1u;
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/*
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// Henry Gordon Dietz: http://aggregate.org/MAGIC/
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register int y = (x & (x - 1));
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y |= -y;
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@ -69,10 +77,11 @@ GLM_FUNC_QUALIFIER unsigned int log2(unsigned int x)
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x |= (x >> 16);
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return detail::ones32(x) - 1 - y;
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}
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*/
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}
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// Henry Gordon Dietz: http://aggregate.org/MAGIC/
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unsigned int log2(unsigned int x)
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unsigned int floor_log2(unsigned int x)
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{
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x |= (x >> 1);
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x |= (x >> 2);
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@ -159,4 +168,45 @@ GLM_FUNC_QUALIFIER uint mod(uint x, uint y)
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return x - y * (x / y);
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}
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#if(GLM_COMPILER & (GLM_COMPILER_VC | GLM_COMPILER_GCC))
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GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
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{
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return 32u - findMSB(x);
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}
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#else
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// Hackers Delight: http://www.hackersdelight.org/HDcode/nlz.c.txt
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GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
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{
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int y, m, n;
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y = -int(x >> 16); // If left half of x is 0,
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m = (y >> 16) & 16; // set n = 16. If left half
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n = 16 - m; // is nonzero, set n = 0 and
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x = x >> m; // shift x right 16.
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// Now x is of the form 0000xxxx.
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y = x - 0x100; // If positions 8-15 are 0,
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m = (y >> 16) & 8; // add 8 to n and shift x left 8.
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n = n + m;
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x = x << m;
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y = x - 0x1000; // If positions 12-15 are 0,
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m = (y >> 16) & 4; // add 4 to n and shift x left 4.
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n = n + m;
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x = x << m;
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y = x - 0x4000; // If positions 14-15 are 0,
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m = (y >> 16) & 2; // add 2 to n and shift x left 2.
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n = n + m;
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x = x << m;
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y = x >> 14; // Set y = 0, 1, 2, or 3.
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m = y & ~(y >> 1); // Set m = 0, 1, 2, or 2 resp.
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return unsigned(n + 2 - m);
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}
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#endif//(GLM_COMPILER)
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}//namespace glm
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@ -1,136 +1,66 @@
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Created : 2010-09-16
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// Updated : 2010-09-16
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// Created : 2011-10-11
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// Updated : 2011-10-11
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// Licence : This source is under MIT licence
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// File : test/gtx/bit.cpp
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// File : test/gtx/gtx_integer.cpp
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///////////////////////////////////////////////////////////////////////////////////////////////////
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#include <glm/glm.hpp>
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#include <glm/gtx/number_precision.hpp>
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#include <glm/gtx/bit.hpp>
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#include <glm/gtx/integer.hpp>
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#include <glm/gtx/epsilon.hpp>
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#include <iostream>
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enum result
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int test_floor_log2()
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{
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SUCCESS,
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FAIL,
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ASSERT,
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STATIC_ASSERT
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};
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int Error = 0;
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namespace extractField
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{
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template <typename genType, typename sizeType>
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struct type
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for(std::size_t i = 1; i < 1000000; ++i)
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{
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genType Value;
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sizeType BitFirst;
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sizeType BitCount;
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genType Return;
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result Result;
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};
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glm::uint A = glm::floor_log2(glm::uint(i));
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glm::uint B = glm::uint(glm::log2(double(i))); // Will fail with float, lack of accuracy
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typedef type<glm::uint64, glm::uint> typeU64;
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typeU64 const Data64[] =
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{
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{0xffffffffffffffff, 8, 0, 0x0000000000000000, SUCCESS},
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{0x0000000000000000, 0,64, 0x0000000000000000, SUCCESS},
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{0xffffffffffffffff, 0,64, 0xffffffffffffffff, SUCCESS},
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{0x0f0f0f0f0f0f0f0f, 0,64, 0x0f0f0f0f0f0f0f0f, SUCCESS},
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{0x0000000000000000, 8, 0, 0x0000000000000000, SUCCESS},
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{0x8000000000000000,63, 1, 0x0000000000000001, SUCCESS},
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{0x7fffffffffffffff,63, 1, 0x0000000000000000, SUCCESS},
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{0x0000000000000300, 8, 8, 0x0000000000000003, SUCCESS},
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{0x000000000000ff00, 8, 8, 0x00000000000000ff, SUCCESS},
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{0xfffffffffffffff0, 0, 5, 0x0000000000000010, SUCCESS},
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{0x00000000000000ff, 1, 3, 0x0000000000000007, SUCCESS},
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{0x00000000000000ff, 0, 3, 0x0000000000000007, SUCCESS},
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{0x0000000000000000, 0, 2, 0x0000000000000000, SUCCESS},
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{0xffffffffffffffff, 0, 8, 0x00000000000000ff, SUCCESS},
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{0xffffffff00000000,32,32, 0x00000000ffffffff, SUCCESS},
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{0xfffffffffffffff0, 0, 8, 0x0000000000000000, FAIL},
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{0xffffffffffffffff,32,32, 0x0000000000000000, FAIL},
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//{0xffffffffffffffff,64, 1, 0x0000000000000000, ASSERT}, // Throw an assert
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//{0xffffffffffffffff, 0,65, 0x0000000000000000, ASSERT}, // Throw an assert
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//{0xffffffffffffffff,33,32, 0x0000000000000000, ASSERT}, // Throw an assert
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};
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int test()
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{
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glm::uint32 count = sizeof(Data64) / sizeof(typeU64);
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for(glm::uint32 i = 0; i < count; ++i)
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{
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glm::uint64 Return = glm::extractField(
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Data64[i].Value,
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Data64[i].BitFirst,
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Data64[i].BitCount);
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bool Compare = Data64[i].Return == Return;
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if(Data64[i].Result == SUCCESS && Compare)
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continue;
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else if(Data64[i].Result == FAIL && !Compare)
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continue;
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std::cout << "glm::extractfield test fail on test " << i << std::endl;
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return 1;
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}
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return 0;
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Error += A == B ? 0 : 1;
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assert(!Error);
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}
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}//extractField
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namespace bitRevert
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return Error;
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}
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int test_log2()
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{
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template <typename genType>
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struct type
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{
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genType Value;
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genType Return;
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result Result;
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};
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int Error = 0;
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typedef type<glm::uint64> typeU64;
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typeU64 const Data64[] =
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for(std::size_t i = 1; i < 1000000; ++i)
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{
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{0xffffffffffffffff, 0xffffffffffffffff, SUCCESS},
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{0x0000000000000000, 0x0000000000000000, SUCCESS},
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{0xf000000000000000, 0x000000000000000f, SUCCESS},
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};
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glm::uint A = glm::log2(glm::uint(i));
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double B = glm::log2(double(i));
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int test()
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{
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glm::uint32 count = sizeof(Data64) / sizeof(typeU64);
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for(glm::uint32 i = 0; i < count; ++i)
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{
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glm::uint64 Return = glm::bitRevert(
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Data64[i].Value);
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bool Compare = Data64[i].Return == Return;
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if(Data64[i].Result == SUCCESS && Compare)
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continue;
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else if(Data64[i].Result == FAIL && !Compare)
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continue;
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std::cout << "glm::extractfield test fail on test " << i << std::endl;
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return 1;
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}
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return 0;
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Error += glm::equalEpsilon(double(A), B, 1.0) ? 0 : 1;
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assert(!Error);
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}
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}//bitRevert
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return Error;
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}
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int test_nlz()
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{
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int Error = 0;
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for(std::size_t i = 1; i < 33; ++i)
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printf("%d, %d\n", glm::nlz(i), 31 - glm::findMSB(i));
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return Error;
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}
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int main()
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{
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int Error = 0;
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Error += ::extractField::test();
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Error += ::bitRevert::test();
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Error += test_nlz();
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Error += test_floor_log2();
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Error += test_log2();
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return Error;
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}
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