15bb6825f10d64834ad1d1d967f590aebae285360epoger@google.com 2f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com/* 35bb6825f10d64834ad1d1d967f590aebae285360epoger@google.com * Copyright 2006 The Android Open Source Project 4f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com * 55bb6825f10d64834ad1d1d967f590aebae285360epoger@google.com * Use of this source code is governed by a BSD-style license that can be 65bb6825f10d64834ad1d1d967f590aebae285360epoger@google.com * found in the LICENSE file. 7f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 8f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 95bb6825f10d64834ad1d1d967f590aebae285360epoger@google.com 10f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com#ifndef SkScalar_DEFINED 11f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com#define SkScalar_DEFINED 12f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 13f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com#include "SkFixed.h" 142147a9c22c10c91655c70dd400cb592deeed1f72epoger@google.com#include "SkFloatingPoint.h" 15f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 16f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com/** \file SkScalar.h 17f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 18f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com Types and macros for the data type SkScalar. This is the fractional numeric type 19f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com that, depending on the compile-time flag SK_SCALAR_IS_FLOAT, may be implemented 20f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com either as an IEEE float, or as a 16.16 SkFixed. The macros in this file are written 21f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com to allow the calling code to manipulate SkScalar values without knowing which representation 22f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com is in effect. 23f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com*/ 24f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 25f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com#ifdef SK_SCALAR_IS_FLOAT 26f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 27f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SkScalar is our type for fractional values and coordinates. Depending on 28f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com compile configurations, it is either represented as an IEEE float, or 29f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com as a 16.16 fixed point integer. 30f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 31f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com typedef float SkScalar; 32f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 33f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SK_Scalar1 is defined to be 1.0 represented as an SkScalar 34f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 35f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_Scalar1 (1.0f) 36f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SK_Scalar1 is defined to be 1/2 represented as an SkScalar 37f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 38f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarHalf (0.5f) 39f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SK_ScalarInfinity is defined to be infinity as an SkScalar 40f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 4116768dc93d273b196ff13376327dbd9f6772939dbsalomon@google.com #define SK_ScalarInfinity SK_FloatInfinity 427471ccea26f97fa0f3738b9a3e3ba4eaf352fc2ebsalomon@google.com /** SK_ScalarNegativeInfinity is defined to be negative infinity as an SkScalar 437471ccea26f97fa0f3738b9a3e3ba4eaf352fc2ebsalomon@google.com */ 447471ccea26f97fa0f3738b9a3e3ba4eaf352fc2ebsalomon@google.com #define SK_ScalarNegativeInfinity SK_FloatNegativeInfinity 45f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SK_ScalarMax is defined to be the largest value representable as an SkScalar 46f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 47b776fe6e8971cb1bba5473e5369dbd73eaee8e47bsalomon@google.com #define SK_ScalarMax (3.402823466e+38f) 48f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SK_ScalarMin is defined to be the smallest value representable as an SkScalar 49f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 50f4968b8f7911d573d439eb8d4d3f0cbdfaccf153bsalomon@google.com #define SK_ScalarMin (-SK_ScalarMax) 51f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SK_ScalarNaN is defined to be 'Not a Number' as an SkScalar 52f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 5316768dc93d273b196ff13376327dbd9f6772939dbsalomon@google.com #define SK_ScalarNaN SK_FloatNaN 54f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SkScalarIsNaN(n) returns true if argument is not a number 55f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 56f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com static inline bool SkScalarIsNaN(float x) { return x != x; } 577b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com 58a09ecbd19440f993c27f2d770f1d5ba279ca418ereed@google.com /** Returns true if x is not NaN and not infinite */ 59a09ecbd19440f993c27f2d770f1d5ba279ca418ereed@google.com static inline bool SkScalarIsFinite(float x) { 607b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com // We rely on the following behavior of infinities and nans 617b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com // 0 * finite --> 0 627b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com // 0 * infinity --> NaN 637b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com // 0 * NaN --> NaN 647b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com float prod = x * 0; 657b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com // At this point, prod will either be NaN or 0 667b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com // Therefore we can return (prod == prod) or (0 == prod). 677b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com return prod == prod; 68a09ecbd19440f993c27f2d770f1d5ba279ca418ereed@google.com } 697b721dcccde076eac2d3834d73810b5063ab04bdreed@google.com 70f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SkIntToScalar(n) returns its integer argument as an SkScalar 71f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 72f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkIntToScalar(n) ((float)(n)) 73f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SkFixedToScalar(n) returns its SkFixed argument as an SkScalar 74f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 75f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkFixedToScalar(x) SkFixedToFloat(x) 76f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SkScalarToFixed(n) returns its SkScalar argument as an SkFixed 77f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 78f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarToFixed(x) SkFloatToFixed(x) 79f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 80f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarToFloat(n) (n) 811f5144a1cab42d4885cf262b854b6773b5efa365commit-bot@chromium.org#ifndef SK_SCALAR_TO_FLOAT_EXCLUDED 82f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkFloatToScalar(n) (n) 831f5144a1cab42d4885cf262b854b6773b5efa365commit-bot@chromium.org#endif 84f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 85f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarToDouble(n) (double)(n) 86f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkDoubleToScalar(n) (float)(n) 87f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 88f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** SkScalarFraction(x) returns the signed fractional part of the argument 89f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 90f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarFraction(x) sk_float_mod(x, 1.0f) 9106b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com 9206b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarFloorToScalar(x) sk_float_floor(x) 9306b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarCeilToScalar(x) sk_float_ceil(x) 9449eb7a44891e26f51d0c87ee32f371f4c535fe81reed@google.com #define SkScalarRoundToScalar(x) sk_float_floor((x) + 0.5f) 9506b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com 9606b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarFloorToInt(x) sk_float_floor2int(x) 9706b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarCeilToInt(x) sk_float_ceil2int(x) 9806b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarRoundToInt(x) sk_float_round2int(x) 99105507d6abcc376ac1ecda36b16589702a951e5bsugoi@google.com #define SkScalarTruncToInt(x) static_cast<int>(x) 10006b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com 101f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the absolute value of the specified SkScalar 102f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 103f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarAbs(x) sk_float_abs(x) 10403d639693d0806bb67aa151b5d0954f5422e6df5reed@android.com /** Return x with the sign of y 10503d639693d0806bb67aa151b5d0954f5422e6df5reed@android.com */ 10603d639693d0806bb67aa151b5d0954f5422e6df5reed@android.com #define SkScalarCopySign(x, y) sk_float_copysign(x, y) 107f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the value pinned between 0 and max inclusive 108f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 109f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com inline SkScalar SkScalarClampMax(SkScalar x, SkScalar max) { 110f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com return x < 0 ? 0 : x > max ? max : x; 111f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com } 112f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the value pinned between min and max inclusive 113f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 114f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com inline SkScalar SkScalarPin(SkScalar x, SkScalar min, SkScalar max) { 115f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com return x < min ? min : x > max ? max : x; 116f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com } 117f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the specified SkScalar squared (x*x) 118f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 119f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com inline SkScalar SkScalarSquare(SkScalar x) { return x * x; } 120f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the product of two SkScalars 121f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 122f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMul(a, b) ((float)(a) * (b)) 123f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the product of two SkScalars plus a third SkScalar 124f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 125f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulAdd(a, b, c) ((float)(a) * (b) + (c)) 126f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the product of a SkScalar and an int rounded to the nearest integer value 127f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 128f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulRound(a, b) SkScalarRound((float)(a) * (b)) 129f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the product of a SkScalar and an int promoted to the next larger int 130f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 131f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulCeil(a, b) SkScalarCeil((float)(a) * (b)) 132f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the product of a SkScalar and an int truncated to the next smaller int 133f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 134f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulFloor(a, b) SkScalarFloor((float)(a) * (b)) 135f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the quotient of two SkScalars (a/b) 136f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 137f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarDiv(a, b) ((float)(a) / (b)) 138f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the mod of two SkScalars (a mod b) 139f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 140f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMod(x,y) sk_float_mod(x,y) 141f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the product of the first two arguments, divided by the third argument 142f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 143f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulDiv(a, b, c) ((float)(a) * (b) / (c)) 144f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the multiplicative inverse of the SkScalar (1/x) 145f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 146f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarInvert(x) (SK_Scalar1 / (x)) 147f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarFastInvert(x) (SK_Scalar1 / (x)) 148f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the square root of the SkScalar 149f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 150f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarSqrt(x) sk_float_sqrt(x) 1512882c38a07c41becaffef85b15a5946eab977592bungeman@google.com /** Returns b to the e 1522882c38a07c41becaffef85b15a5946eab977592bungeman@google.com */ 1532882c38a07c41becaffef85b15a5946eab977592bungeman@google.com #define SkScalarPow(b, e) sk_float_pow(b, e) 154f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the average of two SkScalars (a+b)/2 155f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 156f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarAve(a, b) (((a) + (b)) * 0.5f) 157f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns the geometric mean of two SkScalars 158f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 159f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMean(a, b) sk_float_sqrt((float)(a) * (b)) 160f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com /** Returns one half of the specified SkScalar 161f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com */ 162f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarHalf(a) ((a) * 0.5f) 163f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 164f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarSqrt2 1.41421356f 165f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarPI 3.14159265f 166f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarTanPIOver8 0.414213562f 167f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarRoot2Over2 0.707106781f 168f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 169f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkDegreesToRadians(degrees) ((degrees) * (SK_ScalarPI / 180)) 170f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com float SkScalarSinCos(SkScalar radians, SkScalar* cosValue); 171f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarSin(radians) (float)sk_float_sin(radians) 172f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarCos(radians) (float)sk_float_cos(radians) 173f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarTan(radians) (float)sk_float_tan(radians) 174f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarASin(val) (float)sk_float_asin(val) 175f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarACos(val) (float)sk_float_acos(val) 176f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarATan2(y, x) (float)sk_float_atan2(y,x) 177f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarExp(x) (float)sk_float_exp(x) 178f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarLog(x) (float)sk_float_log(x) 179f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 180f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com inline SkScalar SkMaxScalar(SkScalar a, SkScalar b) { return a > b ? a : b; } 181f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com inline SkScalar SkMinScalar(SkScalar a, SkScalar b) { return a < b ? a : b; } 182f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 1834bed5cd1bdabc3da99b7e9ea1b0348e06dbd6d8ereed@google.com static inline bool SkScalarIsInt(SkScalar x) { 1844bed5cd1bdabc3da99b7e9ea1b0348e06dbd6d8ereed@google.com return x == (float)(int)x; 1854bed5cd1bdabc3da99b7e9ea1b0348e06dbd6d8ereed@google.com } 186f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com#else 187f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com typedef SkFixed SkScalar; 188f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 189f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_Scalar1 SK_Fixed1 190f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarHalf SK_FixedHalf 1917471ccea26f97fa0f3738b9a3e3ba4eaf352fc2ebsalomon@google.com #define SK_ScalarInfinity SK_FixedMax 1927471ccea26f97fa0f3738b9a3e3ba4eaf352fc2ebsalomon@google.com #define SK_ScalarNegativeInfinity SK_FixedMin 193f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarMax SK_FixedMax 194f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarMin SK_FixedMin 195f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarNaN SK_FixedNaN 196f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarIsNaN(x) ((x) == SK_FixedNaN) 197a09ecbd19440f993c27f2d770f1d5ba279ca418ereed@google.com #define SkScalarIsFinite(x) ((x) != SK_FixedNaN) 198a09ecbd19440f993c27f2d770f1d5ba279ca418ereed@google.com 199f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkIntToScalar(n) SkIntToFixed(n) 200f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkFixedToScalar(x) (x) 201f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarToFixed(x) (x) 2025c2adc6db581a3324398a6b6e249217952a36220reed@google.com #define SkScalarToFloat(n) SkFixedToFloat(n) 2031f5144a1cab42d4885cf262b854b6773b5efa365commit-bot@chromium.org#ifndef SK_SCALAR_TO_FLOAT_EXCLUDED 2045c2adc6db581a3324398a6b6e249217952a36220reed@google.com #define SkFloatToScalar(n) SkFloatToFixed(n) 2051f5144a1cab42d4885cf262b854b6773b5efa365commit-bot@chromium.org#endif 206f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 2075c2adc6db581a3324398a6b6e249217952a36220reed@google.com #define SkScalarToDouble(n) SkFixedToDouble(n) 2085c2adc6db581a3324398a6b6e249217952a36220reed@google.com #define SkDoubleToScalar(n) SkDoubleToFixed(n) 209f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarFraction(x) SkFixedFraction(x) 21006b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com 21106b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarFloorToScalar(x) SkFixedFloorToFixed(x) 21206b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarCeilToScalar(x) SkFixedCeilToFixed(x) 21306b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarRoundToScalar(x) SkFixedRoundToFixed(x) 21406b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com 21506b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarFloorToInt(x) SkFixedFloorToInt(x) 21606b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarCeilToInt(x) SkFixedCeilToInt(x) 21706b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com #define SkScalarRoundToInt(x) SkFixedRoundToInt(x) 218105507d6abcc376ac1ecda36b16589702a951e5bsugoi@google.com #define SkScalarTruncToInt(x) (((x) < 0) ? SkScalarCeilToInt(x) : SkScalarFloorToInt(x)) 21906b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com 220f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarAbs(x) SkFixedAbs(x) 22103d639693d0806bb67aa151b5d0954f5422e6df5reed@android.com #define SkScalarCopySign(x, y) SkCopySign32(x, y) 222f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarClampMax(x, max) SkClampMax(x, max) 223f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarPin(x, min, max) SkPin32(x, min, max) 224f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarSquare(x) SkFixedSquare(x) 225f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMul(a, b) SkFixedMul(a, b) 226f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulAdd(a, b, c) SkFixedMulAdd(a, b, c) 227f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulRound(a, b) SkFixedMulCommon(a, b, SK_FixedHalf) 228f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulCeil(a, b) SkFixedMulCommon(a, b, SK_Fixed1 - 1) 229f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulFloor(a, b) SkFixedMulCommon(a, b, 0) 230f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarDiv(a, b) SkFixedDiv(a, b) 231f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMod(a, b) SkFixedMod(a, b) 232f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMulDiv(a, b, c) SkMulDiv(a, b, c) 233f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarInvert(x) SkFixedInvert(x) 234f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarFastInvert(x) SkFixedFastInvert(x) 235f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarSqrt(x) SkFixedSqrt(x) 236f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarAve(a, b) SkFixedAve(a, b) 237f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarMean(a, b) SkFixedMean(a, b) 238f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarHalf(a) ((a) >> 1) 239f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 240f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarSqrt2 SK_FixedSqrt2 241f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarPI SK_FixedPI 242f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarTanPIOver8 SK_FixedTanPIOver8 243f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SK_ScalarRoot2Over2 SK_FixedRoot2Over2 244f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 245f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkDegreesToRadians(degrees) SkFractMul(degrees, SK_FractPIOver180) 246f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarSinCos(radians, cosPtr) SkFixedSinCos(radians, cosPtr) 247f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarSin(radians) SkFixedSin(radians) 248f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarCos(radians) SkFixedCos(radians) 249f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarTan(val) SkFixedTan(val) 250f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarASin(val) SkFixedASin(val) 251f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarACos(val) SkFixedACos(val) 252f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarATan2(y, x) SkFixedATan2(y,x) 253f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarExp(x) SkFixedExp(x) 254f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkScalarLog(x) SkFixedLog(x) 255f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 256f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkMaxScalar(a, b) SkMax32(a, b) 257f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com #define SkMinScalar(a, b) SkMin32(a, b) 2584bed5cd1bdabc3da99b7e9ea1b0348e06dbd6d8ereed@google.com 2594bed5cd1bdabc3da99b7e9ea1b0348e06dbd6d8ereed@google.com static inline bool SkScalarIsInt(SkFixed x) { 2604bed5cd1bdabc3da99b7e9ea1b0348e06dbd6d8ereed@google.com return 0 == (x & 0xffff); 2614bed5cd1bdabc3da99b7e9ea1b0348e06dbd6d8ereed@google.com } 262f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com#endif 263f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 26406b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com// DEPRECATED : use ToInt or ToScalar variant 26506b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com#define SkScalarFloor(x) SkScalarFloorToInt(x) 26606b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com#define SkScalarCeil(x) SkScalarCeilToInt(x) 26706b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com#define SkScalarRound(x) SkScalarRoundToInt(x) 26806b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com 269a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com/** 270a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com * Returns -1 || 0 || 1 depending on the sign of value: 271a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com * -1 if x < 0 272a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com * 0 if x == 0 273a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com * 1 if x > 0 274a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com */ 275a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.comstatic inline int SkScalarSignAsInt(SkScalar x) { 276a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com return x < 0 ? -1 : (x > 0); 277a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com} 278a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com 279a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com// Scalar result version of above 280a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.comstatic inline SkScalar SkScalarSignAsScalar(SkScalar x) { 281a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com return x < 0 ? -SK_Scalar1 : ((x > 0) ? SK_Scalar1 : 0); 282a244157250c91c9cb57a3e6ca7b64e0d35daebcbbsalomon@google.com} 28306b4dc7a4203e2a8b799593db7e24d3379eee112reed@google.com 284f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com#define SK_ScalarNearlyZero (SK_Scalar1 / (1 << 12)) 285f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 2868e7a6f9182b4f4eff8af357cdcd80b7a046c4404reed@android.comstatic inline bool SkScalarNearlyZero(SkScalar x, 287f00cabd9665e99fa96283db71e82ec80f95df115epoger@google.com SkScalar tolerance = SK_ScalarNearlyZero) { 28865f49e8abf0592d1ea597b9bf00c02f51d7deb31reed@google.com SkASSERT(tolerance >= 0); 28965f49e8abf0592d1ea597b9bf00c02f51d7deb31reed@google.com return SkScalarAbs(x) <= tolerance; 290f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com} 291f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 292f00cabd9665e99fa96283db71e82ec80f95df115epoger@google.comstatic inline bool SkScalarNearlyEqual(SkScalar x, SkScalar y, 293f00cabd9665e99fa96283db71e82ec80f95df115epoger@google.com SkScalar tolerance = SK_ScalarNearlyZero) { 29465f49e8abf0592d1ea597b9bf00c02f51d7deb31reed@google.com SkASSERT(tolerance >= 0); 29565f49e8abf0592d1ea597b9bf00c02f51d7deb31reed@google.com return SkScalarAbs(x-y) <= tolerance; 296f00cabd9665e99fa96283db71e82ec80f95df115epoger@google.com} 297f00cabd9665e99fa96283db71e82ec80f95df115epoger@google.com 298f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com/** Linearly interpolate between A and B, based on t. 299f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com If t is 0, return A 300f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com If t is 1, return B 301f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com else interpolate. 302f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com t must be [0..SK_Scalar1] 303f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com*/ 3048e7a6f9182b4f4eff8af357cdcd80b7a046c4404reed@android.comstatic inline SkScalar SkScalarInterp(SkScalar A, SkScalar B, SkScalar t) { 305f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com SkASSERT(t >= 0 && t <= SK_Scalar1); 306f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com return A + SkScalarMul(B - A, t); 307f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com} 308f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com 30916495f5cedd73cd88417353200127cb50ff95854keyar@chromium.orgstatic inline SkScalar SkScalarLog2(SkScalar x) { 31016495f5cedd73cd88417353200127cb50ff95854keyar@chromium.org static const SkScalar log2_conversion_factor = SkScalarDiv(1, SkScalarLog(2)); 31116495f5cedd73cd88417353200127cb50ff95854keyar@chromium.org 31216495f5cedd73cd88417353200127cb50ff95854keyar@chromium.org return SkScalarMul(SkScalarLog(x), log2_conversion_factor); 31316495f5cedd73cd88417353200127cb50ff95854keyar@chromium.org} 31416495f5cedd73cd88417353200127cb50ff95854keyar@chromium.org 3150773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org/** Interpolate along the function described by (keys[length], values[length]) 3160773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org for the passed searchKey. SearchKeys outside the range keys[0]-keys[Length] 3170773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org clamp to the min or max value. This function was inspired by a desire 3180773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org to change the multiplier for thickness in fakeBold; therefore it assumes 3190773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org the number of pairs (length) will be small, and a linear search is used. 3200773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org Repeated keys are allowed for discontinuous functions (so long as keys is 3210773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org monotonically increasing), and if key is the value of a repeated scalar in 3220773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org keys, the first one will be used. However, that may change if a binary 3230773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org search is used. 3240773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org*/ 3250773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.orgSkScalar SkScalarInterpFunc(SkScalar searchKey, const SkScalar keys[], 3260773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org const SkScalar values[], int length); 3270773303dc6e2060e3f66a032b9a41fa1bf4835ccvandebo@chromium.org 328ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com/* 329ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com * Helper to compare an array of scalars. 330ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com */ 331ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.comstatic inline bool SkScalarsEqual(const SkScalar a[], const SkScalar b[], int n) { 332ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com#ifdef SK_SCALAR_IS_FLOAT 333ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com SkASSERT(n >= 0); 334ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com for (int i = 0; i < n; ++i) { 335ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com if (a[i] != b[i]) { 336ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com return false; 337ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com } 338ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com } 339ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com return true; 340ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com#else 341ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com return 0 == memcmp(a, b, n * sizeof(SkScalar)); 342ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com#endif 343ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com} 344ff6afdb698cb8b661761b72f4a086996c39d71d8reed@google.com 345f0d6bf5df07d5ce620678074da0c05aacc28e44reed@android.com#endif 346