/* * Copyright 2006 The Android Open Source Project * * Use of this source code is governed by a BSD-style license that can be * found in the LICENSE file. */ #ifndef SkMath_DEFINED #define SkMath_DEFINED #include "SkTypes.h" /** * Computes numer1 * numer2 / denom in full 64 intermediate precision. * It is an error for denom to be 0. There is no special handling if * the result overflows 32bits. */ int32_t SkMulDiv(int32_t numer1, int32_t numer2, int32_t denom); /** * Computes (numer1 << shift) / denom in full 64 intermediate precision. * It is an error for denom to be 0. There is no special handling if * the result overflows 32bits. */ int32_t SkDivBits(int32_t numer, int32_t denom, int shift); /** * Return the integer square root of value, with a bias of bitBias */ int32_t SkSqrtBits(int32_t value, int bitBias); /** Return the integer square root of n, treated as a SkFixed (16.16) */ #define SkSqrt32(n) SkSqrtBits(n, 15) /////////////////////////////////////////////////////////////////////////////// //! Returns the number of leading zero bits (0...32) int SkCLZ_portable(uint32_t); #if defined(__arm__) #define SkCLZ(x) __builtin_clz(x) #endif #ifndef SkCLZ #define SkCLZ(x) SkCLZ_portable(x) #endif /** * Returns (value < 0 ? 0 : value) efficiently (i.e. no compares or branches) */ static inline int SkClampPos(int value) { return value & ~(value >> 31); } /** Given an integer and a positive (max) integer, return the value * pinned against 0 and max, inclusive. * @param value The value we want returned pinned between [0...max] * @param max The positive max value * @return 0 if value < 0, max if value > max, else value */ static inline int SkClampMax(int value, int max) { // ensure that max is positive SkASSERT(max >= 0); if (value < 0) { value = 0; } if (value > max) { value = max; } return value; } /** * Returns the smallest power-of-2 that is >= the specified value. If value * is already a power of 2, then it is returned unchanged. It is undefined * if value is <= 0. */ static inline int SkNextPow2(int value) { SkASSERT(value > 0); return 1 << (32 - SkCLZ(value - 1)); } /** * Returns the log2 of the specified value, were that value to be rounded up * to the next power of 2. It is undefined to pass 0. Examples: * SkNextLog2(1) -> 0 * SkNextLog2(2) -> 1 * SkNextLog2(3) -> 2 * SkNextLog2(4) -> 2 * SkNextLog2(5) -> 3 */ static inline int SkNextLog2(uint32_t value) { SkASSERT(value != 0); return 32 - SkCLZ(value - 1); } /** * Returns true if value is a power of 2. Does not explicitly check for * value <= 0. */ static inline bool SkIsPow2(int value) { return (value & (value - 1)) == 0; } /////////////////////////////////////////////////////////////////////////////// /** * SkMulS16(a, b) multiplies a * b, but requires that a and b are both int16_t. * With this requirement, we can generate faster instructions on some * architectures. */ #ifdef SK_ARM_HAS_EDSP static inline int32_t SkMulS16(S16CPU x, S16CPU y) { SkASSERT((int16_t)x == x); SkASSERT((int16_t)y == y); int32_t product; asm("smulbb %0, %1, %2 \n" : "=r"(product) : "r"(x), "r"(y) ); return product; } #else #ifdef SK_DEBUG static inline int32_t SkMulS16(S16CPU x, S16CPU y) { SkASSERT((int16_t)x == x); SkASSERT((int16_t)y == y); return x * y; } #else #define SkMulS16(x, y) ((x) * (y)) #endif #endif /** * Return a*b/((1 << shift) - 1), rounding any fractional bits. * Only valid if a and b are unsigned and <= 32767 and shift is > 0 and <= 8 */ static inline unsigned SkMul16ShiftRound(unsigned a, unsigned b, int shift) { SkASSERT(a <= 32767); SkASSERT(b <= 32767); SkASSERT(shift > 0 && shift <= 8); unsigned prod = SkMulS16(a, b) + (1 << (shift - 1)); return (prod + (prod >> shift)) >> shift; } /** * Return a*b/255, rounding any fractional bits. Only valid if both * a and b are 0..255 */ static inline U8CPU SkMulDiv255Round(U8CPU a, U8CPU b) { SkASSERT((uint8_t)a == a); SkASSERT((uint8_t)b == b); unsigned prod = SkMulS16(a, b) + 128; return (prod + (prod >> 8)) >> 8; } #endif