SkScalar.h revision 647a804c3dd53b6743091ec97dd12111f90efec3
1ec3ed6a5ebf6f2c406d7bcf94b6bc34fcaeb976eepoger@google.com 28a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com/* 3ec3ed6a5ebf6f2c406d7bcf94b6bc34fcaeb976eepoger@google.com * Copyright 2006 The Android Open Source Project 48a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com * 5ec3ed6a5ebf6f2c406d7bcf94b6bc34fcaeb976eepoger@google.com * Use of this source code is governed by a BSD-style license that can be 6ec3ed6a5ebf6f2c406d7bcf94b6bc34fcaeb976eepoger@google.com * found in the LICENSE file. 78a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 88a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 9ec3ed6a5ebf6f2c406d7bcf94b6bc34fcaeb976eepoger@google.com 108a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#ifndef SkScalar_DEFINED 118a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#define SkScalar_DEFINED 128a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 138a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#include "SkFixed.h" 1480afbf08eb82a99f8a2eeeb1741eb7ca1ccf957depoger@google.com#include "SkFloatingPoint.h" 158a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 168a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com/** \file SkScalar.h 178a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 188a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com Types and macros for the data type SkScalar. This is the fractional numeric type 198a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com that, depending on the compile-time flag SK_SCALAR_IS_FLOAT, may be implemented 208a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com either as an IEEE float, or as a 16.16 SkFixed. The macros in this file are written 218a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com to allow the calling code to manipulate SkScalar values without knowing which representation 228a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com is in effect. 238a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com*/ 248a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 258a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#ifdef SK_SCALAR_IS_FLOAT 268a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 278a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkScalar is our type for fractional values and coordinates. Depending on 288a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com compile configurations, it is either represented as an IEEE float, or 298a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com as a 16.16 fixed point integer. 308a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 318a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com typedef float SkScalar; 328a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com extern const uint32_t gIEEENotANumber; 338a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com extern const uint32_t gIEEEInfinity; 348a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 358a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_Scalar1 is defined to be 1.0 represented as an SkScalar 368a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 378a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_Scalar1 (1.0f) 388a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_Scalar1 is defined to be 1/2 represented as an SkScalar 398a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 408a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarHalf (0.5f) 418a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_ScalarInfinity is defined to be infinity as an SkScalar 428a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 438a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarInfinity (*(const float*)&gIEEEInfinity) 448a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_ScalarMax is defined to be the largest value representable as an SkScalar 458a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 46c8ad63e5e42637c65c6b4e0adfacce55730b722dbsalomon@google.com #define SK_ScalarMax (3.402823466e+38f) 478a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_ScalarMin is defined to be the smallest value representable as an SkScalar 488a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 49ee9aa304579b3d5314519372728187879456d49dbsalomon@google.com #define SK_ScalarMin (-SK_ScalarMax) 508a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SK_ScalarNaN is defined to be 'Not a Number' as an SkScalar 518a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 528a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarNaN (*(const float*)(const void*)&gIEEENotANumber) 538a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkScalarIsNaN(n) returns true if argument is not a number 548a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 558a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com static inline bool SkScalarIsNaN(float x) { return x != x; } 56077910e20cda41d7981084fbd047a108894bc8dfreed@google.com /** Returns true if x is not NaN and not infinite */ 57077910e20cda41d7981084fbd047a108894bc8dfreed@google.com static inline bool SkScalarIsFinite(float x) { 58077910e20cda41d7981084fbd047a108894bc8dfreed@google.com uint32_t bits = SkFloat2Bits(x); // need unsigned for our shifts 59077910e20cda41d7981084fbd047a108894bc8dfreed@google.com int exponent = bits << 1 >> 24; 60077910e20cda41d7981084fbd047a108894bc8dfreed@google.com return exponent != 0xFF; 61077910e20cda41d7981084fbd047a108894bc8dfreed@google.com } 62b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com#ifdef SK_DEBUG 63b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com /** SkIntToScalar(n) returns its integer argument as an SkScalar 64b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * 65b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * If we're compiling in DEBUG mode, and can thus afford some extra runtime 66b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * cycles, check to make sure that the parameter passed in has not already 67b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * been converted to SkScalar. (A double conversion like this is harmless 68b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * for SK_SCALAR_IS_FLOAT, but for SK_SCALAR_IS_FIXED this causes trouble.) 69b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * 70b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * Note that we need all of these method signatures to properly handle the 71b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * various types that we pass into SkIntToScalar() to date: 72b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * int, size_t, U8CPU, etc., even though what we really mean is "anything 73b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * but a float". 74b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com */ 75b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com static inline float SkIntToScalar(signed int param) { 76b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com return (float)param; 77b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com } 78b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com static inline float SkIntToScalar(unsigned int param) { 79b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com return (float)param; 80b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com } 81b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com static inline float SkIntToScalar(signed long param) { 82b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com return (float)param; 83b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com } 84b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com static inline float SkIntToScalar(unsigned long param) { 85b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com return (float)param; 86b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com } 87b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com static inline float SkIntToScalar(float param) { 88b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com /* If the parameter passed into SkIntToScalar is a float, 89b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * one of two things has happened: 90b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * 1. the parameter was an SkScalar (which is typedef'd to float) 91b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * 2. the parameter was a float instead of an int 92b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * 93b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com * Either way, it's not good. 94b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com */ 95b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com SkASSERT(!"looks like you passed an SkScalar into SkIntToScalar"); 96b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com return (float)0; 97b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com } 98b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com#else // not SK_DEBUG 998a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkIntToScalar(n) returns its integer argument as an SkScalar 1008a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1018a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkIntToScalar(n) ((float)(n)) 102b28b5e4e26183b6e14846fb00501cc445a4fdd7eepoger@google.com#endif // not SK_DEBUG 1038a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkFixedToScalar(n) returns its SkFixed argument as an SkScalar 1048a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1058a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkFixedToScalar(x) SkFixedToFloat(x) 1068a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkScalarToFixed(n) returns its SkScalar argument as an SkFixed 1078a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1088a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToFixed(x) SkFloatToFixed(x) 1098a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1108a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToFloat(n) (n) 1118a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkFloatToScalar(n) (n) 1128a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1138a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToDouble(n) (double)(n) 1148a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkDoubleToScalar(n) (float)(n) 1158a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1168a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** SkScalarFraction(x) returns the signed fractional part of the argument 1178a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1188a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFraction(x) sk_float_mod(x, 1.0f) 1191b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com 1201b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarFloorToScalar(x) sk_float_floor(x) 1211b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarCeilToScalar(x) sk_float_ceil(x) 1221b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarRoundToScalar(x) sk_float_round(x) 1231b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com 1241b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarFloorToInt(x) sk_float_floor2int(x) 1251b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarCeilToInt(x) sk_float_ceil2int(x) 1261b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarRoundToInt(x) sk_float_round2int(x) 1271b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com 1288a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the absolute value of the specified SkScalar 1298a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1308a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarAbs(x) sk_float_abs(x) 131eebf5cb6c0f5ed2630de2e7712d61b4ec1d49015reed@android.com /** Return x with the sign of y 132eebf5cb6c0f5ed2630de2e7712d61b4ec1d49015reed@android.com */ 133eebf5cb6c0f5ed2630de2e7712d61b4ec1d49015reed@android.com #define SkScalarCopySign(x, y) sk_float_copysign(x, y) 1348a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the value pinned between 0 and max inclusive 1358a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1368a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkScalarClampMax(SkScalar x, SkScalar max) { 1378a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com return x < 0 ? 0 : x > max ? max : x; 1388a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com } 1398a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the value pinned between min and max inclusive 1408a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1418a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkScalarPin(SkScalar x, SkScalar min, SkScalar max) { 1428a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com return x < min ? min : x > max ? max : x; 1438a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com } 1448a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the specified SkScalar squared (x*x) 1458a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1468a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkScalarSquare(SkScalar x) { return x * x; } 1478a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of two SkScalars 1488a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1498a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMul(a, b) ((float)(a) * (b)) 1508a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of two SkScalars plus a third SkScalar 1518a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1528a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulAdd(a, b, c) ((float)(a) * (b) + (c)) 1538a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of a SkScalar and an int rounded to the nearest integer value 1548a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1558a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulRound(a, b) SkScalarRound((float)(a) * (b)) 1568a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of a SkScalar and an int promoted to the next larger int 1578a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1588a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulCeil(a, b) SkScalarCeil((float)(a) * (b)) 1598a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of a SkScalar and an int truncated to the next smaller int 1608a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1618a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulFloor(a, b) SkScalarFloor((float)(a) * (b)) 1628a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the quotient of two SkScalars (a/b) 1638a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1648a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarDiv(a, b) ((float)(a) / (b)) 1658a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the mod of two SkScalars (a mod b) 1668a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1678a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMod(x,y) sk_float_mod(x,y) 1688a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the product of the first two arguments, divided by the third argument 1698a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1708a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulDiv(a, b, c) ((float)(a) * (b) / (c)) 1718a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the multiplicative inverse of the SkScalar (1/x) 1728a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1738a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarInvert(x) (SK_Scalar1 / (x)) 1748a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFastInvert(x) (SK_Scalar1 / (x)) 1758a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the square root of the SkScalar 1768a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1778a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSqrt(x) sk_float_sqrt(x) 1788a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the average of two SkScalars (a+b)/2 1798a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1808a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarAve(a, b) (((a) + (b)) * 0.5f) 1818a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns the geometric mean of two SkScalars 1828a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1838a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMean(a, b) sk_float_sqrt((float)(a) * (b)) 1848a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com /** Returns one half of the specified SkScalar 1858a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com */ 1868a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarHalf(a) ((a) * 0.5f) 1878a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1888a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarSqrt2 1.41421356f 1898a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarPI 3.14159265f 1908a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarTanPIOver8 0.414213562f 1918a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarRoot2Over2 0.707106781f 1928a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 1938a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkDegreesToRadians(degrees) ((degrees) * (SK_ScalarPI / 180)) 1948a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com float SkScalarSinCos(SkScalar radians, SkScalar* cosValue); 1958a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSin(radians) (float)sk_float_sin(radians) 1968a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarCos(radians) (float)sk_float_cos(radians) 1978a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarTan(radians) (float)sk_float_tan(radians) 1988a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarASin(val) (float)sk_float_asin(val) 1998a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarACos(val) (float)sk_float_acos(val) 2008a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarATan2(y, x) (float)sk_float_atan2(y,x) 2018a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarExp(x) (float)sk_float_exp(x) 2028a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarLog(x) (float)sk_float_log(x) 2038a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2048a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkMaxScalar(SkScalar a, SkScalar b) { return a > b ? a : b; } 2058a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com inline SkScalar SkMinScalar(SkScalar a, SkScalar b) { return a < b ? a : b; } 2068a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 207185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com static inline bool SkScalarIsInt(SkScalar x) { 208185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com return x == (float)(int)x; 209185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com } 2108a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#else 2118a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com typedef SkFixed SkScalar; 2128a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2138a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_Scalar1 SK_Fixed1 2148a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarHalf SK_FixedHalf 2158a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarInfinity SK_FixedMax 2168a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarMax SK_FixedMax 2178a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarMin SK_FixedMin 2188a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarNaN SK_FixedNaN 2198a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarIsNaN(x) ((x) == SK_FixedNaN) 220077910e20cda41d7981084fbd047a108894bc8dfreed@google.com #define SkScalarIsFinite(x) ((x) != SK_FixedNaN) 221077910e20cda41d7981084fbd047a108894bc8dfreed@google.com 2228a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkIntToScalar(n) SkIntToFixed(n) 2238a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkFixedToScalar(x) (x) 2248a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToFixed(x) (x) 2258a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #ifdef SK_CAN_USE_FLOAT 2268a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToFloat(n) SkFixedToFloat(n) 2278a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkFloatToScalar(n) SkFloatToFixed(n) 2288a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2298a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarToDouble(n) SkFixedToDouble(n) 2308a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkDoubleToScalar(n) SkDoubleToFixed(n) 2318a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #endif 2328a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFraction(x) SkFixedFraction(x) 2331b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com 2341b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarFloorToScalar(x) SkFixedFloorToFixed(x) 2351b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarCeilToScalar(x) SkFixedCeilToFixed(x) 2361b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarRoundToScalar(x) SkFixedRoundToFixed(x) 2371b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com 2381b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarFloorToInt(x) SkFixedFloorToInt(x) 2391b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarCeilToInt(x) SkFixedCeilToInt(x) 2401b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com #define SkScalarRoundToInt(x) SkFixedRoundToInt(x) 2411b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com 2428a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarAbs(x) SkFixedAbs(x) 243eebf5cb6c0f5ed2630de2e7712d61b4ec1d49015reed@android.com #define SkScalarCopySign(x, y) SkCopySign32(x, y) 2448a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarClampMax(x, max) SkClampMax(x, max) 2458a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarPin(x, min, max) SkPin32(x, min, max) 2468a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSquare(x) SkFixedSquare(x) 2478a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMul(a, b) SkFixedMul(a, b) 2488a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulAdd(a, b, c) SkFixedMulAdd(a, b, c) 2498a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulRound(a, b) SkFixedMulCommon(a, b, SK_FixedHalf) 2508a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulCeil(a, b) SkFixedMulCommon(a, b, SK_Fixed1 - 1) 2518a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulFloor(a, b) SkFixedMulCommon(a, b, 0) 2528a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarDiv(a, b) SkFixedDiv(a, b) 2538a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMod(a, b) SkFixedMod(a, b) 2548a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMulDiv(a, b, c) SkMulDiv(a, b, c) 2558a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarInvert(x) SkFixedInvert(x) 2568a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarFastInvert(x) SkFixedFastInvert(x) 2578a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSqrt(x) SkFixedSqrt(x) 2588a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarAve(a, b) SkFixedAve(a, b) 2598a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarMean(a, b) SkFixedMean(a, b) 2608a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarHalf(a) ((a) >> 1) 2618a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2628a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarSqrt2 SK_FixedSqrt2 2638a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarPI SK_FixedPI 2648a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarTanPIOver8 SK_FixedTanPIOver8 2658a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SK_ScalarRoot2Over2 SK_FixedRoot2Over2 2668a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2678a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkDegreesToRadians(degrees) SkFractMul(degrees, SK_FractPIOver180) 2688a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSinCos(radians, cosPtr) SkFixedSinCos(radians, cosPtr) 2698a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarSin(radians) SkFixedSin(radians) 2708a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarCos(radians) SkFixedCos(radians) 2718a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarTan(val) SkFixedTan(val) 2728a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarASin(val) SkFixedASin(val) 2738a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarACos(val) SkFixedACos(val) 2748a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarATan2(y, x) SkFixedATan2(y,x) 2758a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarExp(x) SkFixedExp(x) 2768a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkScalarLog(x) SkFixedLog(x) 2778a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2788a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkMaxScalar(a, b) SkMax32(a, b) 2798a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com #define SkMinScalar(a, b) SkMin32(a, b) 280185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com 281185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com static inline bool SkScalarIsInt(SkFixed x) { 282185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com return 0 == (x & 0xffff); 283185d3d016d1e493694e9aaf45b070f34ba456983reed@google.com } 2848a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#endif 2858a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 2861b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com// DEPRECATED : use ToInt or ToScalar variant 2871b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com#define SkScalarFloor(x) SkScalarFloorToInt(x) 2881b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com#define SkScalarCeil(x) SkScalarCeilToInt(x) 2891b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com#define SkScalarRound(x) SkScalarRoundToInt(x) 2901b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com 291647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com/** 292647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com * Returns -1 || 0 || 1 depending on the sign of value: 293647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com * -1 if x < 0 294647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com * 0 if x == 0 295647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com * 1 if x > 0 296647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com */ 297647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.comstatic inline int SkScalarSignAsInt(SkScalar x) { 298647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com return x < 0 ? -1 : (x > 0); 299647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com} 300647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com 301647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com// Scalar result version of above 302647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.comstatic inline SkScalar SkScalarSignAsScalar(SkScalar x) { 303647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com return x < 0 ? -SK_Scalar1 : ((x > 0) ? SK_Scalar1 : 0); 304647a804c3dd53b6743091ec97dd12111f90efec3bsalomon@google.com} 3051b20280f9b2e95fdcf4a2ee6f7f9d5a92c5b94c2reed@google.com 3068a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#define SK_ScalarNearlyZero (SK_Scalar1 / (1 << 12)) 3078a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 3088a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com/* <= is slower than < for floats, so we use < for our tolerance test 3098a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com*/ 3108a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 311187d5595901d1120d9425851e5afdd773f574502reed@android.comstatic inline bool SkScalarNearlyZero(SkScalar x, 3121fd56dc6e189ea0e94b5df9af959c243573f8883epoger@google.com SkScalar tolerance = SK_ScalarNearlyZero) { 3138a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com SkASSERT(tolerance > 0); 3148a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com return SkScalarAbs(x) < tolerance; 3158a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com} 3168a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 3171fd56dc6e189ea0e94b5df9af959c243573f8883epoger@google.comstatic inline bool SkScalarNearlyEqual(SkScalar x, SkScalar y, 3181fd56dc6e189ea0e94b5df9af959c243573f8883epoger@google.com SkScalar tolerance = SK_ScalarNearlyZero) { 3191fd56dc6e189ea0e94b5df9af959c243573f8883epoger@google.com SkASSERT(tolerance > 0); 3201fd56dc6e189ea0e94b5df9af959c243573f8883epoger@google.com return SkScalarAbs(x-y) < tolerance; 3211fd56dc6e189ea0e94b5df9af959c243573f8883epoger@google.com} 3221fd56dc6e189ea0e94b5df9af959c243573f8883epoger@google.com 3238a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com/** Linearly interpolate between A and B, based on t. 3248a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com If t is 0, return A 3258a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com If t is 1, return B 3268a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com else interpolate. 3278a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com t must be [0..SK_Scalar1] 3288a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com*/ 329187d5595901d1120d9425851e5afdd773f574502reed@android.comstatic inline SkScalar SkScalarInterp(SkScalar A, SkScalar B, SkScalar t) { 3308a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com SkASSERT(t >= 0 && t <= SK_Scalar1); 3318a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com return A + SkScalarMul(B - A, t); 3328a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com} 3338a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com 33428be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org/** Interpolate along the function described by (keys[length], values[length]) 33528be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org for the passed searchKey. SearchKeys outside the range keys[0]-keys[Length] 33628be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org clamp to the min or max value. This function was inspired by a desire 33728be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org to change the multiplier for thickness in fakeBold; therefore it assumes 33828be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org the number of pairs (length) will be small, and a linear search is used. 33928be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org Repeated keys are allowed for discontinuous functions (so long as keys is 34028be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org monotonically increasing), and if key is the value of a repeated scalar in 34128be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org keys, the first one will be used. However, that may change if a binary 34228be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org search is used. 34328be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org*/ 34428be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.orgSkScalar SkScalarInterpFunc(SkScalar searchKey, const SkScalar keys[], 34528be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org const SkScalar values[], int length); 34628be72b63e457c680c192a34fb9f58e1c693363fvandebo@chromium.org 3478a1c16ff38322f0210116fa7293eb8817c7e477ereed@android.com#endif 348