SkScalar.h revision 185d3d016d1e493694e9aaf45b070f34ba456983
18a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com/* 28a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * Copyright (C) 2006 The Android Open Source Project 38a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * 48a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * Licensed under the Apache License, Version 2.0 (the "License"); 58a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * you may not use this file except in compliance with the License. 68a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * You may obtain a copy of the License at 78a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * 88a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * http://www.apache.org/licenses/LICENSE-2.0 98a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * 108a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * Unless required by applicable law or agreed to in writing, software 118a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * distributed under the License is distributed on an "AS IS" BASIS, 128a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 138a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * See the License for the specific language governing permissions and 148a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * limitations under the License. 158a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 168a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 178a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#ifndef SkScalar_DEFINED 188a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#define SkScalar_DEFINED 198a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 208a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#include "SkFixed.h" 218a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 228a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com/** \file SkScalar.h 238a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 248a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com Types and macros for the data type SkScalar. This is the fractional numeric type 258a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com that, depending on the compile-time flag SK_SCALAR_IS_FLOAT, may be implemented 268a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com either as an IEEE float, or as a 16.16 SkFixed. The macros in this file are written 278a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com to allow the calling code to manipulate SkScalar values without knowing which representation 288a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com is in effect. 298a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com*/ 308a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 318a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#ifdef SK_SCALAR_IS_FLOAT 328a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #include "SkFloatingPoint.h" 338a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 348a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkScalar is our type for fractional values and coordinates. Depending on 358a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com compile configurations, it is either represented as an IEEE float, or 368a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com as a 16.16 fixed point integer. 378a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 388a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com typedef float SkScalar; 398a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com extern const uint32_t gIEEENotANumber; 408a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com extern const uint32_t gIEEEInfinity; 418a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 428a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_Scalar1 is defined to be 1.0 represented as an SkScalar 438a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 448a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_Scalar1 (1.0f) 458a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_Scalar1 is defined to be 1/2 represented as an SkScalar 468a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 478a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarHalf (0.5f) 488a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_ScalarInfinity is defined to be infinity as an SkScalar 498a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 508a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarInfinity (*(const float*)&gIEEEInfinity) 518a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_ScalarMax is defined to be the largest value representable as an SkScalar 528a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 53c8ad63e5e42637c65c6b4e0adfacce55730b722dbsalomon@google.com #define SK_ScalarMax (3.402823466e+38f) 548a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_ScalarMin is defined to be the smallest value representable as an SkScalar 558a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 56c8ad63e5e42637c65c6b4e0adfacce55730b722dbsalomon@google.com #define SK_ScalarMin (1.175494351e-38f) 578a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_ScalarNaN is defined to be 'Not a Number' as an SkScalar 588a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 598a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarNaN (*(const float*)(const void*)&gIEEENotANumber) 608a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkScalarIsNaN(n) returns true if argument is not a number 618a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 628a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com static inline bool SkScalarIsNaN(float x) { return x != x; } 63077910e20cda41d7981084fbd047a108894bc8dfreed@google.com /** Returns true if x is not NaN and not infinite */ 64077910e20cda41d7981084fbd047a108894bc8dfreed@google.com static inline bool SkScalarIsFinite(float x) { 65077910e20cda41d7981084fbd047a108894bc8dfreed@google.com uint32_t bits = SkFloat2Bits(x); // need unsigned for our shifts 66077910e20cda41d7981084fbd047a108894bc8dfreed@google.com int exponent = bits << 1 >> 24; 67077910e20cda41d7981084fbd047a108894bc8dfreed@google.com return exponent != 0xFF; 68077910e20cda41d7981084fbd047a108894bc8dfreed@google.com } 698a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkIntToScalar(n) returns its integer argument as an SkScalar 708a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 718a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkIntToScalar(n) ((float)(n)) 728a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkFixedToScalar(n) returns its SkFixed argument as an SkScalar 738a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 748a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkFixedToScalar(x) SkFixedToFloat(x) 758a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkScalarToFixed(n) returns its SkScalar argument as an SkFixed 768a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 778a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToFixed(x) SkFloatToFixed(x) 788a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 798a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToFloat(n) (n) 808a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkFloatToScalar(n) (n) 818a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 828a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToDouble(n) (double)(n) 838a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkDoubleToScalar(n) (float)(n) 848a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 858a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkScalarFraction(x) returns the signed fractional part of the argument 868a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 878a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFraction(x) sk_float_mod(x, 1.0f) 888a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Rounds the SkScalar to the nearest integer value 898a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 908a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarRound(x) sk_float_round2int(x) 918a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the smallest integer that is >= the specified SkScalar 928a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 938a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarCeil(x) sk_float_ceil2int(x) 948a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the largest integer that is <= the specified SkScalar 958a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 968a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFloor(x) sk_float_floor2int(x) 978a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the absolute value of the specified SkScalar 988a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 998a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarAbs(x) sk_float_abs(x) 100eebf5cb6c0f5ed2630de2e7712d61b4ec1d49015reed@android.com /** Return x with the sign of y 101eebf5cb6c0f5ed2630de2e7712d61b4ec1d49015reed@android.com */ 102eebf5cb6c0f5ed2630de2e7712d61b4ec1d49015reed@android.com #define SkScalarCopySign(x, y) sk_float_copysign(x, y) 1038a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the value pinned between 0 and max inclusive 1048a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1058a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkScalarClampMax(SkScalar x, SkScalar max) { 1068a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com return x < 0 ? 0 : x > max ? max : x; 1078a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com } 1088a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the value pinned between min and max inclusive 1098a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1108a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkScalarPin(SkScalar x, SkScalar min, SkScalar max) { 1118a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com return x < min ? min : x > max ? max : x; 1128a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com } 1138a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the specified SkScalar squared (x*x) 1148a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1158a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkScalarSquare(SkScalar x) { return x * x; } 1168a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of two SkScalars 1178a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1188a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMul(a, b) ((float)(a) * (b)) 1198a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of two SkScalars plus a third SkScalar 1208a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1218a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulAdd(a, b, c) ((float)(a) * (b) + (c)) 1228a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of a SkScalar and an int rounded to the nearest integer value 1238a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1248a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulRound(a, b) SkScalarRound((float)(a) * (b)) 1258a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of a SkScalar and an int promoted to the next larger int 1268a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1278a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulCeil(a, b) SkScalarCeil((float)(a) * (b)) 1288a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of a SkScalar and an int truncated to the next smaller int 1298a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1308a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulFloor(a, b) SkScalarFloor((float)(a) * (b)) 1318a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the quotient of two SkScalars (a/b) 1328a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1338a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarDiv(a, b) ((float)(a) / (b)) 1348a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the mod of two SkScalars (a mod b) 1358a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1368a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMod(x,y) sk_float_mod(x,y) 1378a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of the first two arguments, divided by the third argument 1388a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1398a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulDiv(a, b, c) ((float)(a) * (b) / (c)) 1408a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the multiplicative inverse of the SkScalar (1/x) 1418a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1428a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarInvert(x) (SK_Scalar1 / (x)) 1438a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFastInvert(x) (SK_Scalar1 / (x)) 1448a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the square root of the SkScalar 1458a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1468a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSqrt(x) sk_float_sqrt(x) 1478a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the average of two SkScalars (a+b)/2 1488a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1498a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarAve(a, b) (((a) + (b)) * 0.5f) 1508a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the geometric mean of two SkScalars 1518a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1528a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMean(a, b) sk_float_sqrt((float)(a) * (b)) 1538a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns one half of the specified SkScalar 1548a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1558a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarHalf(a) ((a) * 0.5f) 1568a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1578a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarSqrt2 1.41421356f 1588a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarPI 3.14159265f 1598a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarTanPIOver8 0.414213562f 1608a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarRoot2Over2 0.707106781f 1618a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1628a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkDegreesToRadians(degrees) ((degrees) * (SK_ScalarPI / 180)) 1638a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com float SkScalarSinCos(SkScalar radians, SkScalar* cosValue); 1648a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSin(radians) (float)sk_float_sin(radians) 1658a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarCos(radians) (float)sk_float_cos(radians) 1668a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarTan(radians) (float)sk_float_tan(radians) 1678a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarASin(val) (float)sk_float_asin(val) 1688a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarACos(val) (float)sk_float_acos(val) 1698a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarATan2(y, x) (float)sk_float_atan2(y,x) 1708a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarExp(x) (float)sk_float_exp(x) 1718a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarLog(x) (float)sk_float_log(x) 1728a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1738a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkMaxScalar(SkScalar a, SkScalar b) { return a > b ? a : b; } 1748a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkMinScalar(SkScalar a, SkScalar b) { return a < b ? a : b; } 1758a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 176185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com static inline bool SkScalarIsInt(SkScalar x) { 177185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com return x == (float)(int)x; 178185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com } 1798a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#else 1808a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com typedef SkFixed SkScalar; 1818a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1828a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_Scalar1 SK_Fixed1 1838a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarHalf SK_FixedHalf 1848a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarInfinity SK_FixedMax 1858a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarMax SK_FixedMax 1868a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarMin SK_FixedMin 1878a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarNaN SK_FixedNaN 1888a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarIsNaN(x) ((x) == SK_FixedNaN) 189077910e20cda41d7981084fbd047a108894bc8dfreed@google.com #define SkScalarIsFinite(x) ((x) != SK_FixedNaN) 190077910e20cda41d7981084fbd047a108894bc8dfreed@google.com 1918a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkIntToScalar(n) SkIntToFixed(n) 1928a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkFixedToScalar(x) (x) 1938a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToFixed(x) (x) 1948a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #ifdef SK_CAN_USE_FLOAT 1958a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToFloat(n) SkFixedToFloat(n) 1968a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkFloatToScalar(n) SkFloatToFixed(n) 1978a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1988a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToDouble(n) SkFixedToDouble(n) 1998a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkDoubleToScalar(n) SkDoubleToFixed(n) 2008a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #endif 2018a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFraction(x) SkFixedFraction(x) 2028a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarRound(x) SkFixedRound(x) 2038a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarCeil(x) SkFixedCeil(x) 2048a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFloor(x) SkFixedFloor(x) 2058a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarAbs(x) SkFixedAbs(x) 206eebf5cb6c0f5ed2630de2e7712d61b4ec1d49015reed@android.com #define SkScalarCopySign(x, y) SkCopySign32(x, y) 2078a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarClampMax(x, max) SkClampMax(x, max) 2088a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarPin(x, min, max) SkPin32(x, min, max) 2098a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSquare(x) SkFixedSquare(x) 2108a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMul(a, b) SkFixedMul(a, b) 2118a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulAdd(a, b, c) SkFixedMulAdd(a, b, c) 2128a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulRound(a, b) SkFixedMulCommon(a, b, SK_FixedHalf) 2138a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulCeil(a, b) SkFixedMulCommon(a, b, SK_Fixed1 - 1) 2148a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulFloor(a, b) SkFixedMulCommon(a, b, 0) 2158a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarDiv(a, b) SkFixedDiv(a, b) 2168a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMod(a, b) SkFixedMod(a, b) 2178a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulDiv(a, b, c) SkMulDiv(a, b, c) 2188a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarInvert(x) SkFixedInvert(x) 2198a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFastInvert(x) SkFixedFastInvert(x) 2208a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSqrt(x) SkFixedSqrt(x) 2218a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarAve(a, b) SkFixedAve(a, b) 2228a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMean(a, b) SkFixedMean(a, b) 2238a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarHalf(a) ((a) >> 1) 2248a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2258a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarSqrt2 SK_FixedSqrt2 2268a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarPI SK_FixedPI 2278a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarTanPIOver8 SK_FixedTanPIOver8 2288a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarRoot2Over2 SK_FixedRoot2Over2 2298a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2308a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkDegreesToRadians(degrees) SkFractMul(degrees, SK_FractPIOver180) 2318a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSinCos(radians, cosPtr) SkFixedSinCos(radians, cosPtr) 2328a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSin(radians) SkFixedSin(radians) 2338a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarCos(radians) SkFixedCos(radians) 2348a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarTan(val) SkFixedTan(val) 2358a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarASin(val) SkFixedASin(val) 2368a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarACos(val) SkFixedACos(val) 2378a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarATan2(y, x) SkFixedATan2(y,x) 2388a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarExp(x) SkFixedExp(x) 2398a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarLog(x) SkFixedLog(x) 2408a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2418a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkMaxScalar(a, b) SkMax32(a, b) 2428a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkMinScalar(a, b) SkMin32(a, b) 243185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com 244185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com static inline bool SkScalarIsInt(SkFixed x) { 245185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com return 0 == (x & 0xffff); 246185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com } 2478a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#endif 2488a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2498a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#define SK_ScalarNearlyZero (SK_Scalar1 / (1 << 12)) 2508a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2518a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com/* <= is slower than < for floats, so we use < for our tolerance test 2528a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com*/ 2538a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 254187d5595901d1120d9425851e5afdd773f574502reed@android.comstatic inline bool SkScalarNearlyZero(SkScalar x, 255187d5595901d1120d9425851e5afdd773f574502reed@android.com SkScalar tolerance = SK_ScalarNearlyZero) { 2568a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com SkASSERT(tolerance > 0); 2578a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com return SkScalarAbs(x) < tolerance; 2588a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com} 2598a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2608a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com/** Linearly interpolate between A and B, based on t. 2618a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com If t is 0, return A 2628a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com If t is 1, return B 2638a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com else interpolate. 2648a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com t must be [0..SK_Scalar1] 2658a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com*/ 266187d5595901d1120d9425851e5afdd773f574502reed@android.comstatic inline SkScalar SkScalarInterp(SkScalar A, SkScalar B, SkScalar t) { 2678a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com SkASSERT(t >= 0 && t <= SK_Scalar1); 2688a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com return A + SkScalarMul(B - A, t); 2698a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com} 2708a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 27128be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org/** Interpolate along the function described by (keys[length], values[length]) 27228be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org for the passed searchKey. SearchKeys outside the range keys[0]-keys[Length] 27328be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org clamp to the min or max value. This function was inspired by a desire 27428be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org to change the multiplier for thickness in fakeBold; therefore it assumes 27528be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org the number of pairs (length) will be small, and a linear search is used. 27628be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org Repeated keys are allowed for discontinuous functions (so long as keys is 27728be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org monotonically increasing), and if key is the value of a repeated scalar in 27828be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org keys, the first one will be used. However, that may change if a binary 27928be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org search is used. 28028be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org*/ 28128be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.orgSkScalar SkScalarInterpFunc(SkScalar searchKey, const SkScalar keys[], 28228be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org const SkScalar values[], int length); 28328be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org 2848a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#endif 2858a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 286