/* * 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 SkFixed_DEFINED #define SkFixed_DEFINED #include "SkTypes.h" /** \file SkFixed.h Types and macros for 16.16 fixed point */ /** 32 bit signed integer used to represent fractions values with 16 bits to the right of the decimal point */ typedef int32_t SkFixed; #define SK_Fixed1 (1 << 16) #define SK_FixedHalf (1 << 15) #define SK_FixedMax (0x7FFFFFFF) #define SK_FixedMin (-SK_FixedMax) #define SK_FixedPI (0x3243F) #define SK_FixedSqrt2 (92682) #define SK_FixedTanPIOver8 (0x6A0A) #define SK_FixedRoot2Over2 (0xB505) #define SkFixedToFloat(x) ((x) * 1.52587890625e-5f) #if 1 #define SkFloatToFixed(x) ((SkFixed)((x) * SK_Fixed1)) #else // pins over/under flows to max/min int32 (slower than just a cast) static inline SkFixed SkFloatToFixed(float x) { int64_t n = x * SK_Fixed1; return (SkFixed)n; } #endif #ifdef SK_DEBUG static inline SkFixed SkFloatToFixed_Check(float x) { int64_t n64 = (int64_t)(x * SK_Fixed1); SkFixed n32 = (SkFixed)n64; SkASSERT(n64 == n32); return n32; } #else #define SkFloatToFixed_Check(x) SkFloatToFixed(x) #endif #define SkFixedToDouble(x) ((x) * 1.52587890625e-5) #define SkDoubleToFixed(x) ((SkFixed)((x) * SK_Fixed1)) /** Converts an integer to a SkFixed, asserting that the result does not overflow a 32 bit signed integer */ #ifdef SK_DEBUG inline SkFixed SkIntToFixed(int n) { SkASSERT(n >= -32768 && n <= 32767); // Left shifting a negative value has undefined behavior in C, so we cast to unsigned before // shifting. return (unsigned)n << 16; } #else // Left shifting a negative value has undefined behavior in C, so we cast to unsigned before // shifting. Then we force the cast to SkFixed to ensure that the answer is signed (like the // debug version). #define SkIntToFixed(n) (SkFixed)((unsigned)(n) << 16) #endif #define SkFixedRoundToInt(x) (((x) + SK_FixedHalf) >> 16) #define SkFixedCeilToInt(x) (((x) + SK_Fixed1 - 1) >> 16) #define SkFixedFloorToInt(x) ((x) >> 16) #define SkFixedRoundToFixed(x) (((x) + SK_FixedHalf) & 0xFFFF0000) #define SkFixedCeilToFixed(x) (((x) + SK_Fixed1 - 1) & 0xFFFF0000) #define SkFixedFloorToFixed(x) ((x) & 0xFFFF0000) #define SkFixedAbs(x) SkAbs32(x) #define SkFixedAve(a, b) (((a) + (b)) >> 1) // Blink layout tests are baselined to Clang optimizing through undefined behavior in SkDivBits. #if defined(SK_SUPPORT_LEGACY_DIVBITS_UB) #define SkFixedDiv(numer, denom) SkDivBits(numer, denom, 16) #else // The divide may exceed 32 bits. Clamp to a signed 32 bit result. #define SkFixedDiv(numer, denom) \ SkToS32(SkTPin<int64_t>((SkLeftShift((int64_t)numer, 16) / denom), SK_MinS32, SK_MaxS32)) #endif ////////////////////////////////////////////////////////////////////////////////////////////////////// // Now look for ASM overrides for our portable versions (should consider putting this in its own file) inline SkFixed SkFixedMul_longlong(SkFixed a, SkFixed b) { return (SkFixed)((int64_t)a * b >> 16); } #define SkFixedMul(a,b) SkFixedMul_longlong(a,b) #if defined(SK_CPU_ARM32) /* This guy does not handle NaN or other obscurities, but is faster than than (int)(x*65536). When built on Android with -Os, needs forcing to inline or we lose the speed benefit. */ SK_ALWAYS_INLINE SkFixed SkFloatToFixed_arm(float x) { int32_t y, z; asm("movs %1, %3, lsl #1 \n" "mov %2, #0x8E \n" "sub %1, %2, %1, lsr #24 \n" "mov %2, %3, lsl #8 \n" "orr %2, %2, #0x80000000 \n" "mov %1, %2, lsr %1 \n" "it cs \n" "rsbcs %1, %1, #0 \n" : "=r"(x), "=&r"(y), "=&r"(z) : "r"(x) : "cc" ); return y; } inline SkFixed SkFixedMul_arm(SkFixed x, SkFixed y) { int32_t t; asm("smull %0, %2, %1, %3 \n" "mov %0, %0, lsr #16 \n" "orr %0, %0, %2, lsl #16 \n" : "=r"(x), "=&r"(y), "=r"(t) : "r"(x), "1"(y) : ); return x; } #undef SkFixedMul #define SkFixedMul(x, y) SkFixedMul_arm(x, y) #undef SkFloatToFixed #define SkFloatToFixed(x) SkFloatToFixed_arm(x) #endif /////////////////////////////////////////////////////////////////////////////// typedef int64_t SkFixed3232; // 32.32 #define SkIntToFixed3232(x) (SkLeftShift((SkFixed3232)(x), 32)) #define SkFixed3232ToInt(x) ((int)((x) >> 32)) #define SkFixedToFixed3232(x) (SkLeftShift((SkFixed3232)(x), 16)) #define SkFixed3232ToFixed(x) ((SkFixed)((x) >> 16)) #define SkFloatToFixed3232(x) ((SkFixed3232)((x) * (65536.0f * 65536.0f))) #define SkScalarToFixed3232(x) SkFloatToFixed3232(x) /////////////////////////////////////////////////////////////////////////////// // 64bits wide, with a 16bit bias. Useful when accumulating lots of 16.16 so // we don't overflow along the way typedef int64_t Sk48Dot16; #define Sk48Dot16FloorToInt(x) static_cast<int>((x) >> 16) static inline float Sk48Dot16ToScalar(Sk48Dot16 x) { return static_cast<float>(x * 1.5258789e-5); // x * (1.0f / (1 << 16)) } #define SkFloatTo48Dot16(x) (static_cast<Sk48Dot16>((x) * (1 << 16))) #define SkScalarTo48Dot16(x) SkFloatTo48Dot16(x) #endif