/* Copyright (c) 2013-2015 Jeffrey Pfau * * This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ #ifndef UTIL_MATH_H #define UTIL_MATH_H #include CXX_GUARD_START #ifndef HAVE_POPCOUNT32 static inline uint32_t popcount32(unsigned bits) { bits = bits - ((bits >> 1) & 0x55555555); bits = (bits & 0x33333333) + ((bits >> 2) & 0x33333333); return (((bits + (bits >> 4)) & 0xF0F0F0F) * 0x1010101) >> 24; } #endif static inline unsigned clz32(uint32_t bits) { #if defined(__GNUC__) || __clang__ if (!bits) { return 32; } return __builtin_clz(bits); #else static const int8_t table[256] = { 8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; if (bits & 0xFF000000) { return table[bits >> 24]; } else if (bits & 0x00FF0000) { return table[bits >> 16] + 8; } else if (bits & 0x0000FF00) { return table[bits >> 8] + 16; } return table[bits] + 24; #endif } static inline unsigned ctz32(uint32_t bits) { #if defined(__GNUC__) || __clang__ if (!bits) { return 32; } return __builtin_ctz(bits); #else static const int8_t table[256] = { 8, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 6, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 7, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 6, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, }; if (bits & 0x000000FF) { return table[bits & 0xFF]; } else if (bits & 0x0000FF00) { return table[(bits >> 8) & 0xFF] + 8; } else if (bits & 0x00FF0000) { return table[(bits >> 16) & 0xFF] + 16; } return table[bits >> 24] + 24; #endif } static inline uint32_t toPow2(uint32_t bits) { if (!bits) { return 0; } unsigned lz = clz32(bits - 1); return 1 << (32 - lz); } static inline int reduceFraction(int* num, int* den) { int n = *num; int d = *den; while (d != 0) { int temp = n % d; n = d; d = temp; } *num /= n; *den /= n; return n; } #define TYPE_GENERICIZE(MACRO) \ MACRO(int, Int) \ MACRO(unsigned, UInt) #define LOCK_ASPECT_RATIO(T, t) \ static inline void lockAspectRatio ## t(T refW, T refH, T* w, T* h) { \ if (*w * refH > *h * refW) { \ *w = *h * refW / refH; \ } else if (*w * refH < *h * refW) { \ *h = *w * refH / refW; \ } \ } TYPE_GENERICIZE(LOCK_ASPECT_RATIO) #undef LOCK_ASPECT_RATIO #define LOCK_INTEGER_RATIO(T, t) \ static inline void lockIntegerRatio ## t(T ref, T* val) { \ if (*val >= ref) { \ *val -= *val % ref; \ } \ } TYPE_GENERICIZE(LOCK_INTEGER_RATIO) #undef LOCK_INTEGER_RATIO #undef TYPE_GENERICIZE CXX_GUARD_END #endif