/////////////////////////////////////////////////////////////////////////////////////////////////// // OpenGL Mathematics Copyright (c) 2005 - 2013 G-Truc Creation (www.g-truc.net) /////////////////////////////////////////////////////////////////////////////////////////////////// // Created : 2010-09-16 // Updated : 2010-09-16 // Licence : This source is under MIT licence // File : test/gtx/bit.cpp /////////////////////////////////////////////////////////////////////////////////////////////////// #include #include #include #include #if(GLM_ARCH != GLM_ARCH_PURE) # include #endif #include #include #include enum result { SUCCESS, FAIL, ASSERT, STATIC_ASSERT }; namespace extractField { template struct type { genType Value; sizeType BitFirst; sizeType BitCount; genType Return; result Result; }; typedef type typeU64; #if(((GLM_COMPILER & GLM_COMPILER_GCC) == GLM_COMPILER_GCC) && (GLM_COMPILER < GLM_COMPILER_GCC44)) typeU64 const Data64[] = { {0xffffffffffffffffLLU, 8, 0, 0x0000000000000000LLU, SUCCESS}, {0x0000000000000000LLU, 0,64, 0x0000000000000000LLU, SUCCESS}, {0xffffffffffffffffLLU, 0,64, 0xffffffffffffffffLLU, SUCCESS}, {0x0f0f0f0f0f0f0f0fLLU, 0,64, 0x0f0f0f0f0f0f0f0fLLU, SUCCESS}, {0x0000000000000000LLU, 8, 0, 0x0000000000000000LLU, SUCCESS}, {0x8000000000000000LLU,63, 1, 0x0000000000000001LLU, SUCCESS}, {0x7fffffffffffffffLLU,63, 1, 0x0000000000000000LLU, SUCCESS}, {0x0000000000000300LLU, 8, 8, 0x0000000000000003LLU, SUCCESS}, {0x000000000000ff00LLU, 8, 8, 0x00000000000000ffLLU, SUCCESS}, {0xfffffffffffffff0LLU, 0, 5, 0x0000000000000010LLU, SUCCESS}, {0x00000000000000ffLLU, 1, 3, 0x0000000000000007LLU, SUCCESS}, {0x00000000000000ffLLU, 0, 3, 0x0000000000000007LLU, SUCCESS}, {0x0000000000000000LLU, 0, 2, 0x0000000000000000LLU, SUCCESS}, {0xffffffffffffffffLLU, 0, 8, 0x00000000000000ffLLU, SUCCESS}, {0xffffffff00000000LLU,32,32, 0x00000000ffffffffLLU, SUCCESS}, {0xfffffffffffffff0LLU, 0, 8, 0x0000000000000000LLU, FAIL}, {0xffffffffffffffffLLU,32,32, 0x0000000000000000LLU, FAIL}, //{0xffffffffffffffffLLU,64, 1, 0x0000000000000000LLU, ASSERT}, // Throw an assert //{0xffffffffffffffffLLU, 0,65, 0x0000000000000000LLU, ASSERT}, // Throw an assert //{0xffffffffffffffffLLU,33,32, 0x0000000000000000LLU, ASSERT}, // Throw an assert }; #else typeU64 const Data64[] = { {0xffffffffffffffff, 8, 0, 0x0000000000000000, SUCCESS}, {0x0000000000000000, 0,64, 0x0000000000000000, SUCCESS}, {0xffffffffffffffff, 0,64, 0xffffffffffffffff, SUCCESS}, {0x0f0f0f0f0f0f0f0f, 0,64, 0x0f0f0f0f0f0f0f0f, SUCCESS}, {0x0000000000000000, 8, 0, 0x0000000000000000, SUCCESS}, {0x8000000000000000,63, 1, 0x0000000000000001, SUCCESS}, {0x7fffffffffffffff,63, 1, 0x0000000000000000, SUCCESS}, {0x0000000000000300, 8, 8, 0x0000000000000003, SUCCESS}, {0x000000000000ff00, 8, 8, 0x00000000000000ff, SUCCESS}, {0xfffffffffffffff0, 0, 5, 0x0000000000000010, SUCCESS}, {0x00000000000000ff, 1, 3, 0x0000000000000007, SUCCESS}, {0x00000000000000ff, 0, 3, 0x0000000000000007, SUCCESS}, {0x0000000000000000, 0, 2, 0x0000000000000000, SUCCESS}, {0xffffffffffffffff, 0, 8, 0x00000000000000ff, SUCCESS}, {0xffffffff00000000,32,32, 0x00000000ffffffff, SUCCESS}, {0xfffffffffffffff0, 0, 8, 0x0000000000000000, FAIL}, {0xffffffffffffffff,32,32, 0x0000000000000000, FAIL}, //{0xffffffffffffffff,64, 1, 0x0000000000000000, ASSERT}, // Throw an assert //{0xffffffffffffffff, 0,65, 0x0000000000000000, ASSERT}, // Throw an assert //{0xffffffffffffffff,33,32, 0x0000000000000000, ASSERT}, // Throw an assert }; #endif int test() { glm::uint32 count = sizeof(Data64) / sizeof(typeU64); for(glm::uint32 i = 0; i < count; ++i) { glm::uint64 Return = glm::extractField( Data64[i].Value, Data64[i].BitFirst, Data64[i].BitCount); bool Compare = Data64[i].Return == Return; if(Data64[i].Result == SUCCESS && Compare) continue; else if(Data64[i].Result == FAIL && !Compare) continue; std::cout << "glm::extractfield test fail on test " << i << std::endl; return 1; } return 0; } }//extractField namespace bitRevert { template struct type { genType Value; genType Return; result Result; }; typedef type typeU64; #if(((GLM_COMPILER & GLM_COMPILER_GCC) == GLM_COMPILER_GCC) && (GLM_COMPILER < GLM_COMPILER_GCC44)) typeU64 const Data64[] = { {0xffffffffffffffffLLU, 0xffffffffffffffffLLU, SUCCESS}, {0x0000000000000000LLU, 0x0000000000000000LLU, SUCCESS}, {0xf000000000000000LLU, 0x000000000000000fLLU, SUCCESS}, }; #else typeU64 const Data64[] = { {0xffffffffffffffff, 0xffffffffffffffff, SUCCESS}, {0x0000000000000000, 0x0000000000000000, SUCCESS}, {0xf000000000000000, 0x000000000000000f, SUCCESS}, }; #endif int test() { glm::uint32 count = sizeof(Data64) / sizeof(typeU64); for(glm::uint32 i = 0; i < count; ++i) { glm::uint64 Return = glm::bitRevert( Data64[i].Value); bool Compare = Data64[i].Return == Return; if(Data64[i].Result == SUCCESS && Compare) continue; else if(Data64[i].Result == FAIL && !Compare) continue; std::cout << "glm::extractfield test fail on test " << i << std::endl; return 1; } return 0; } }//bitRevert namespace bitfieldInterleave { inline glm::uint64 fastBitfieldInterleave(glm::uint32 x, glm::uint32 y) { glm::uint64 REG1; glm::uint64 REG2; REG1 = x; REG1 = ((REG1 << 16) | REG1) & glm::uint64(0x0000FFFF0000FFFF); REG1 = ((REG1 << 8) | REG1) & glm::uint64(0x00FF00FF00FF00FF); REG1 = ((REG1 << 4) | REG1) & glm::uint64(0x0F0F0F0F0F0F0F0F); REG1 = ((REG1 << 2) | REG1) & glm::uint64(0x3333333333333333); REG1 = ((REG1 << 1) | REG1) & glm::uint64(0x5555555555555555); REG2 = y; REG2 = ((REG2 << 16) | REG2) & glm::uint64(0x0000FFFF0000FFFF); REG2 = ((REG2 << 8) | REG2) & glm::uint64(0x00FF00FF00FF00FF); REG2 = ((REG2 << 4) | REG2) & glm::uint64(0x0F0F0F0F0F0F0F0F); REG2 = ((REG2 << 2) | REG2) & glm::uint64(0x3333333333333333); REG2 = ((REG2 << 1) | REG2) & glm::uint64(0x5555555555555555); return REG1 | (REG2 << 1); } inline glm::uint64 interleaveBitfieldInterleave(glm::uint32 x, glm::uint32 y) { glm::uint64 REG1; glm::uint64 REG2; REG1 = x; REG2 = y; REG1 = ((REG1 << 16) | REG1) & glm::uint64(0x0000FFFF0000FFFF); REG2 = ((REG2 << 16) | REG2) & glm::uint64(0x0000FFFF0000FFFF); REG1 = ((REG1 << 8) | REG1) & glm::uint64(0x00FF00FF00FF00FF); REG2 = ((REG2 << 8) | REG2) & glm::uint64(0x00FF00FF00FF00FF); REG1 = ((REG1 << 4) | REG1) & glm::uint64(0x0F0F0F0F0F0F0F0F); REG2 = ((REG2 << 4) | REG2) & glm::uint64(0x0F0F0F0F0F0F0F0F); REG1 = ((REG1 << 2) | REG1) & glm::uint64(0x3333333333333333); REG2 = ((REG2 << 2) | REG2) & glm::uint64(0x3333333333333333); REG1 = ((REG1 << 1) | REG1) & glm::uint64(0x5555555555555555); REG2 = ((REG2 << 1) | REG2) & glm::uint64(0x5555555555555555); return REG1 | (REG2 << 1); } inline glm::uint64 loopBitfieldInterleave(glm::uint32 x, glm::uint32 y) { static glm::uint64 const Mask[5] = { 0x5555555555555555, 0x3333333333333333, 0x0F0F0F0F0F0F0F0F, 0x00FF00FF00FF00FF, 0x0000FFFF0000FFFF }; glm::uint64 REG1 = x; glm::uint64 REG2 = y; for(int i = 4; i >= 0; --i) { REG1 = ((REG1 << (1 << i)) | REG1) & Mask[i]; REG2 = ((REG2 << (1 << i)) | REG2) & Mask[i]; } return REG1 | (REG2 << 1); } inline glm::uint64 sseBitfieldInterleave(glm::uint32 x, glm::uint32 y) { GLM_ALIGN(16) glm::uint32 const Array[4] = {x, 0, y, 0}; __m128i const Mask4 = _mm_set1_epi32(0x0000FFFF); __m128i const Mask3 = _mm_set1_epi32(0x00FF00FF); __m128i const Mask2 = _mm_set1_epi32(0x0F0F0F0F); __m128i const Mask1 = _mm_set1_epi32(0x33333333); __m128i const Mask0 = _mm_set1_epi32(0x55555555); __m128i Reg1; __m128i Reg2; // REG1 = x; // REG2 = y; Reg1 = _mm_load_si128((__m128i*)Array); //REG1 = ((REG1 << 16) | REG1) & glm::uint64(0x0000FFFF0000FFFF); //REG2 = ((REG2 << 16) | REG2) & glm::uint64(0x0000FFFF0000FFFF); Reg2 = _mm_slli_si128(Reg1, 2); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask4); //REG1 = ((REG1 << 8) | REG1) & glm::uint64(0x00FF00FF00FF00FF); //REG2 = ((REG2 << 8) | REG2) & glm::uint64(0x00FF00FF00FF00FF); Reg2 = _mm_slli_si128(Reg1, 1); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask3); //REG1 = ((REG1 << 4) | REG1) & glm::uint64(0x0F0F0F0F0F0F0F0F); //REG2 = ((REG2 << 4) | REG2) & glm::uint64(0x0F0F0F0F0F0F0F0F); Reg2 = _mm_slli_epi32(Reg1, 4); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask2); //REG1 = ((REG1 << 2) | REG1) & glm::uint64(0x3333333333333333); //REG2 = ((REG2 << 2) | REG2) & glm::uint64(0x3333333333333333); Reg2 = _mm_slli_epi32(Reg1, 2); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask1); //REG1 = ((REG1 << 1) | REG1) & glm::uint64(0x5555555555555555); //REG2 = ((REG2 << 1) | REG2) & glm::uint64(0x5555555555555555); Reg2 = _mm_slli_epi32(Reg1, 1); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask0); //return REG1 | (REG2 << 1); Reg2 = _mm_slli_epi32(Reg1, 1); Reg2 = _mm_srli_si128(Reg2, 8); Reg1 = _mm_or_si128(Reg1, Reg2); GLM_ALIGN(16) glm::uint64 Result[2]; _mm_store_si128((__m128i*)Result, Reg1); return Result[0]; } inline glm::uint64 sseUnalignedBitfieldInterleave(glm::uint32 x, glm::uint32 y) { glm::uint32 const Array[4] = {x, 0, y, 0}; __m128i const Mask4 = _mm_set1_epi32(0x0000FFFF); __m128i const Mask3 = _mm_set1_epi32(0x00FF00FF); __m128i const Mask2 = _mm_set1_epi32(0x0F0F0F0F); __m128i const Mask1 = _mm_set1_epi32(0x33333333); __m128i const Mask0 = _mm_set1_epi32(0x55555555); __m128i Reg1; __m128i Reg2; // REG1 = x; // REG2 = y; Reg1 = _mm_loadu_si128((__m128i*)Array); //REG1 = ((REG1 << 16) | REG1) & glm::uint64(0x0000FFFF0000FFFF); //REG2 = ((REG2 << 16) | REG2) & glm::uint64(0x0000FFFF0000FFFF); Reg2 = _mm_slli_si128(Reg1, 2); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask4); //REG1 = ((REG1 << 8) | REG1) & glm::uint64(0x00FF00FF00FF00FF); //REG2 = ((REG2 << 8) | REG2) & glm::uint64(0x00FF00FF00FF00FF); Reg2 = _mm_slli_si128(Reg1, 1); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask3); //REG1 = ((REG1 << 4) | REG1) & glm::uint64(0x0F0F0F0F0F0F0F0F); //REG2 = ((REG2 << 4) | REG2) & glm::uint64(0x0F0F0F0F0F0F0F0F); Reg2 = _mm_slli_epi32(Reg1, 4); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask2); //REG1 = ((REG1 << 2) | REG1) & glm::uint64(0x3333333333333333); //REG2 = ((REG2 << 2) | REG2) & glm::uint64(0x3333333333333333); Reg2 = _mm_slli_epi32(Reg1, 2); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask1); //REG1 = ((REG1 << 1) | REG1) & glm::uint64(0x5555555555555555); //REG2 = ((REG2 << 1) | REG2) & glm::uint64(0x5555555555555555); Reg2 = _mm_slli_epi32(Reg1, 1); Reg1 = _mm_or_si128(Reg2, Reg1); Reg1 = _mm_and_si128(Reg1, Mask0); //return REG1 | (REG2 << 1); Reg2 = _mm_slli_epi32(Reg1, 1); Reg2 = _mm_srli_si128(Reg2, 8); Reg1 = _mm_or_si128(Reg1, Reg2); glm::uint64 Result[2]; _mm_storeu_si128((__m128i*)Result, Reg1); return Result[0]; } int test() { glm::uint32 x_max = 1 << 13; glm::uint32 y_max = 1 << 12; // ALU std::vector Data(x_max * y_max); std::vector Param(x_max * y_max); for(glm::uint32 i = 0; i < Param.size(); ++i) Param[i] = glm::u32vec2(i % x_max, i / y_max); { for(glm::uint32 y = 0; y < (1 << 10); ++y) for(glm::uint32 x = 0; x < (1 << 10); ++x) { glm::uint64 A = glm::bitfieldInterleave(x, y); glm::uint64 B = fastBitfieldInterleave(x, y); glm::uint64 C = loopBitfieldInterleave(x, y); glm::uint64 D = interleaveBitfieldInterleave(x, y); glm::uint64 E = sseBitfieldInterleave(x, y); glm::uint64 F = sseUnalignedBitfieldInterleave(x, y); assert(A == B); assert(A == C); assert(A == D); assert(A == E); assert(A == F); # if(GLM_ARCH != GLM_ARCH_PURE) __m128i G = glm::detail::_mm_bit_interleave_si128(_mm_set_epi32(0, y, 0, x)); glm::uint64 Result[2]; _mm_storeu_si128((__m128i*)Result, G); assert(A == Result[0]); # endif//(GLM_ARCH != GLM_ARCH_PURE) } } { for(glm::uint8 y = 0; y < 127; ++y) for(glm::uint8 x = 0; x < 127; ++x) { glm::uint64 A(glm::bitfieldInterleave(glm::uint8(x), glm::uint8(y))); glm::uint64 B(glm::bitfieldInterleave(glm::uint16(x), glm::uint16(y))); glm::uint64 C(glm::bitfieldInterleave(glm::uint32(x), glm::uint32(y))); glm::int64 D(glm::bitfieldInterleave(glm::int8(x), glm::int8(y))); glm::int64 E(glm::bitfieldInterleave(glm::int16(x), glm::int16(y))); glm::int64 F(glm::bitfieldInterleave(glm::int32(x), glm::int32(y))); assert(D == E); assert(D == F); } } { std::clock_t LastTime = std::clock(); for(std::size_t i = 0; i < Data.size(); ++i) Data[i] = glm::bitfieldInterleave(Param[i].x, Param[i].y); std::clock_t Time = std::clock() - LastTime; std::cout << "glm::bitfieldInterleave Time " << Time << " clocks" << std::endl; } { std::clock_t LastTime = std::clock(); for(std::size_t i = 0; i < Data.size(); ++i) Data[i] = fastBitfieldInterleave(Param[i].x, Param[i].y); std::clock_t Time = std::clock() - LastTime; std::cout << "fastBitfieldInterleave Time " << Time << " clocks" << std::endl; } { std::clock_t LastTime = std::clock(); for(std::size_t i = 0; i < Data.size(); ++i) Data[i] = loopBitfieldInterleave(Param[i].x, Param[i].y); std::clock_t Time = std::clock() - LastTime; std::cout << "loopBitfieldInterleave Time " << Time << " clocks" << std::endl; } { std::clock_t LastTime = std::clock(); for(std::size_t i = 0; i < Data.size(); ++i) Data[i] = interleaveBitfieldInterleave(Param[i].x, Param[i].y); std::clock_t Time = std::clock() - LastTime; std::cout << "interleaveBitfieldInterleave Time " << Time << " clocks" << std::endl; } { std::clock_t LastTime = std::clock(); for(std::size_t i = 0; i < Data.size(); ++i) Data[i] = sseBitfieldInterleave(Param[i].x, Param[i].y); std::clock_t Time = std::clock() - LastTime; std::cout << "sseBitfieldInterleave Time " << Time << " clocks" << std::endl; } { std::clock_t LastTime = std::clock(); for(std::size_t i = 0; i < Data.size(); ++i) Data[i] = sseUnalignedBitfieldInterleave(Param[i].x, Param[i].y); std::clock_t Time = std::clock() - LastTime; std::cout << "sseUnalignedBitfieldInterleave Time " << Time << " clocks" << std::endl; } { std::clock_t LastTime = std::clock(); for(std::size_t i = 0; i < Data.size(); ++i) Data[i] = glm::bitfieldInterleave(Param[i].x, Param[i].y, Param[i].x); std::clock_t Time = std::clock() - LastTime; std::cout << "glm::detail::bitfieldInterleave Time " << Time << " clocks" << std::endl; } # if(GLM_ARCH != GLM_ARCH_PURE) { // SIMD glm::int32 simd_x_max = 1 << 13; glm::int32 simd_y_max = 1 << 12; std::vector<__m128i> SimdData(x_max * y_max); std::vector<__m128i> SimdParam(x_max * y_max); for(int i = 0; i < SimdParam.size(); ++i) SimdParam[i] = _mm_set_epi32(i % simd_x_max, 0, i / simd_y_max, 0); std::clock_t LastTime = std::clock(); for(std::size_t i = 0; i < Data.size(); ++i) SimdData[i] = glm::detail::_mm_bit_interleave_si128(SimdParam[i]); std::clock_t Time = std::clock() - LastTime; std::cout << "_mm_bit_interleave_si128 Time " << Time << " clocks" << std::endl; } # endif//(GLM_ARCH != GLM_ARCH_PURE) return 0; } } namespace bitfieldInterleave3 { template inline RET refBitfieldInterleave(PARAM x, PARAM y, PARAM z) { RET Result = 0; for(RET i = 0; i < sizeof(PARAM) * 8; ++i) { Result |= ((RET(x) & (RET(1U) << i)) << ((i << 1) + 0)); Result |= ((RET(y) & (RET(1U) << i)) << ((i << 1) + 1)); Result |= ((RET(z) & (RET(1U) << i)) << ((i << 1) + 2)); } return Result; } int test() { int Error(0); glm::uint16 x_max = 1 << 11; glm::uint16 y_max = 1 << 11; glm::uint16 z_max = 1 << 11; for(glm::uint16 z = 0; z < z_max; z += 27) for(glm::uint16 y = 0; y < y_max; y += 27) for(glm::uint16 x = 0; x < x_max; x += 27) { glm::uint64 ResultA = refBitfieldInterleave(x, y, z); glm::uint64 ResultB = glm::bitfieldInterleave(x, y, z); Error += ResultA == ResultB ? 0 : 1; } return Error; } } namespace bitfieldInterleave4 { template inline RET loopBitfieldInterleave(PARAM x, PARAM y, PARAM z, PARAM w) { RET const v[4] = {x, y, z, w}; RET Result = 0; for(RET i = 0; i < sizeof(PARAM) * 8; i++) { Result |= ((((v[0] >> i) & 1U)) << ((i << 2) + 0)); Result |= ((((v[1] >> i) & 1U)) << ((i << 2) + 1)); Result |= ((((v[2] >> i) & 1U)) << ((i << 2) + 2)); Result |= ((((v[3] >> i) & 1U)) << ((i << 2) + 3)); } return Result; } int test() { int Error(0); glm::uint16 x_max = 1 << 11; glm::uint16 y_max = 1 << 11; glm::uint16 z_max = 1 << 11; glm::uint16 w_max = 1 << 11; for(glm::uint16 w = 0; w < w_max; w += 27) for(glm::uint16 z = 0; z < z_max; z += 27) for(glm::uint16 y = 0; y < y_max; y += 27) for(glm::uint16 x = 0; x < x_max; x += 27) { glm::uint64 ResultA = loopBitfieldInterleave(x, y, z, w); glm::uint64 ResultB = glm::bitfieldInterleave(x, y, z, w); Error += ResultA == ResultB ? 0 : 1; } return Error; } } int main() { int Error(0); Error += ::bitfieldInterleave3::test(); Error += ::bitfieldInterleave4::test(); Error += ::bitfieldInterleave::test(); Error += ::extractField::test(); Error += ::bitRevert::test(); while(true); return Error; }