/* * Copyright 2015 WebAssembly Community Group participants * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ #ifndef wasm_bits_h #define wasm_bits_h #include /* * Portable bit functions. * * Not all platforms offer fast intrinsics for these functions, and some * compilers require checking CPUID at runtime before using the intrinsic. * * We instead use portable and reasonably-fast implementations, while * avoiding implementations with large lookup tables. */ namespace wasm { // Only the specialized templates should be instantiated, getting // a linker error with these functions means an unsupported type was used. template inline int PopCount(T /* v */); template inline T BitReverse(T /* v */); template inline int CountTrailingZeroes(T /* v */); template inline int CountLeadingZeroes(T /* v */); // Convenience signed -> unsigned. It usually doesn't make much sense to use bit // functions on signed types. template inline int PopCount(T v) { return PopCount(typename std::make_unsigned::type(v)); } template inline int CountTrailingZeroes(T v) { return CountTrailingZeroes(typename std::make_unsigned::type(v)); } template inline int CountLeadingZeroes(T v) { return CountLeadingZeroes(typename std::make_unsigned::type(v)); } // Implementations for the above templates. template<> inline int PopCount(uint8_t v) { // Small table lookup. static const uint8_t tbl[32] = { 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5 }; return tbl[v & 0xf] + tbl[v >> 4]; } template<> inline int PopCount(uint16_t v) { return PopCount(v & 0xff) + PopCount(v >> 8); } template<> inline int PopCount(uint32_t v) { // See Stanford bithacks, counting bits set in parallel, "best method": // http://graphics.stanford.edu/~seander/bithacks.html#CountBitsSetParallel v = v - ((v >> 1) & 0x55555555); v = (v & 0x33333333) + ((v >> 2) & 0x33333333); return (((v + (v >> 4)) & 0xF0F0F0F) * 0x1010101) >> 24; } template<> inline int PopCount(uint64_t v) { return PopCount((uint32_t)v) + PopCount(v >> 32); } template<> inline uint32_t BitReverse(uint32_t v) { // See Hacker's Delight, first edition, figure 7-1. v = ((v & 0x55555555) << 1) | ((v >> 1) & 0x55555555); v = ((v & 0x33333333) << 2) | ((v >> 2) & 0x33333333); v = ((v & 0x0F0F0F0F) << 4) | ((v >> 4) & 0x0F0F0F0F); v = (v << 24) | ((v & 0xFF00) << 8) | ((v >> 8) & 0xFF00) | (v >> 24); return v; } template<> inline int CountTrailingZeroes(uint32_t v) { // See Stanford bithacks, count the consecutive zero bits (trailing) on the // right with multiply and lookup: // http://graphics.stanford.edu/~seander/bithacks.html#ZerosOnRightMultLookup static const uint8_t tbl[32] = { 0, 1, 28, 2, 29, 14, 24, 3, 30, 22, 20, 15, 25, 17, 4, 8, 31, 27, 13, 23, 21, 19, 16, 7, 26, 12, 18, 6, 11, 5, 10, 9 }; return v ? (int)tbl[((uint32_t)((v & -(int32_t)v) * 0x077CB531U)) >> 27] : 32; } template<> inline int CountTrailingZeroes(uint64_t v) { return (uint32_t)v ? CountTrailingZeroes(v) : 32 + CountTrailingZeroes(v >> 32); } template<> inline int CountLeadingZeroes(uint32_t v) { // See Stanford bithacks, find the log base 2 of an N-bit integer in // O(lg(N)) operations with multiply and lookup: // http://graphics.stanford.edu/~seander/bithacks.html#IntegerLogDeBruijn static const uint8_t tbl[32] = { 31, 22, 30, 21, 18, 10, 29, 2, 20, 17, 15, 13, 9, 6, 28, 1, 23, 19, 11, 3, 16, 14, 7, 24, 12, 4, 8, 25, 5, 26, 27, 0 }; v = v | (v >> 1); v = v | (v >> 2); v = v | (v >> 4); v = v | (v >> 8); v = v | (v >> 16); return v ? (int)tbl[((uint32_t)(v * 0x07C4ACDDU)) >> 27] : 32; } template<> inline int CountLeadingZeroes(uint64_t v) { return v >> 32 ? CountLeadingZeroes(v >> 32) : 32 + CountLeadingZeroes(v); } } // namespace wasm #endif // wasm_bits_h