SkPathOpsTypes.h revision 55888e44171ffd48b591d19256884a969fe4da17
107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* 207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com * Copyright 2012 Google Inc. 307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com * 407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com * Use of this source code is governed by a BSD-style license that can be 507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com * found in the LICENSE file. 607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com */ 707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#ifndef SkPathOpsTypes_DEFINED 807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#define SkPathOpsTypes_DEFINED 907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 1007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#include <float.h> // for FLT_EPSILON 1107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#include <math.h> // for fabs, sqrt 1207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 1307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#include "SkFloatingPoint.h" 14277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#include "SkPath.h" 1507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#include "SkPathOps.h" 1607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#include "SkPathOpsDebug.h" 1707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#include "SkScalar.h" 1807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 1907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comenum SkPathOpsMask { 2007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com kWinding_PathOpsMask = -1, 2107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com kNo_PathOpsMask = 0, 2207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com kEvenOdd_PathOpsMask = 1 2307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com}; 2407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 2555888e44171ffd48b591d19256884a969fe4da17caryclarkclass SkChunkAlloc; 2654359294a7c9dc54802d512a5d891a35c1663392caryclarkclass SkOpCoincidence; 2754359294a7c9dc54802d512a5d891a35c1663392caryclarkclass SkOpContour; 28624637cc8ec22c000409704d0b403ac1b81ad4b0caryclarkclass SkOpContourHead; 2926ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclarkclass SkIntersections; 3026ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclarkclass SkIntersectionHelper; 3154359294a7c9dc54802d512a5d891a35c1663392caryclark 3254359294a7c9dc54802d512a5d891a35c1663392caryclarkclass SkOpGlobalState { 3354359294a7c9dc54802d512a5d891a35c1663392caryclarkpublic: 3455888e44171ffd48b591d19256884a969fe4da17caryclark SkOpGlobalState(SkOpContourHead* head, 3555888e44171ffd48b591d19256884a969fe4da17caryclark SkChunkAlloc* allocator SkDEBUGPARAMS(bool debugSkipAssert) 36d4349723fac9c0fd4dcf8c275fb7c756bdfdff7bcaryclark SkDEBUGPARAMS(const char* testName)); 3754359294a7c9dc54802d512a5d891a35c1663392caryclark 3854359294a7c9dc54802d512a5d891a35c1663392caryclark enum Phase { 3954359294a7c9dc54802d512a5d891a35c1663392caryclark kIntersecting, 405b5ddd73b4baf22752924bf20d097e96236c36f8caryclark kWalking, 415b5ddd73b4baf22752924bf20d097e96236c36f8caryclark kFixWinding, 4254359294a7c9dc54802d512a5d891a35c1663392caryclark }; 4354359294a7c9dc54802d512a5d891a35c1663392caryclark 44624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark enum { 45624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark kMaxWindingTries = 10 46624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark }; 47624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark 4855888e44171ffd48b591d19256884a969fe4da17caryclark SkChunkAlloc* allocator() { 4955888e44171ffd48b591d19256884a969fe4da17caryclark return fAllocator; 5055888e44171ffd48b591d19256884a969fe4da17caryclark } 5155888e44171ffd48b591d19256884a969fe4da17caryclark 5226ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark bool angleCoincidence() const { 5354359294a7c9dc54802d512a5d891a35c1663392caryclark return fAngleCoincidence; 5454359294a7c9dc54802d512a5d891a35c1663392caryclark } 5554359294a7c9dc54802d512a5d891a35c1663392caryclark 564e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark void bumpNested() { 574e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark ++fNested; 584e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark } 594e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark 604e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark void clearNested() { 614e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark fNested = 0; 624e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark } 634e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark 6454359294a7c9dc54802d512a5d891a35c1663392caryclark SkOpCoincidence* coincidence() { 6554359294a7c9dc54802d512a5d891a35c1663392caryclark return fCoincidence; 6654359294a7c9dc54802d512a5d891a35c1663392caryclark } 6754359294a7c9dc54802d512a5d891a35c1663392caryclark 68624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark SkOpContourHead* contourHead() { 69624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark return fContourHead; 70624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark } 71624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark 7254359294a7c9dc54802d512a5d891a35c1663392caryclark#ifdef SK_DEBUG 7355888e44171ffd48b591d19256884a969fe4da17caryclark const class SkOpAngle* debugAngle(int id) const; 7455888e44171ffd48b591d19256884a969fe4da17caryclark const SkOpCoincidence* debugCoincidence() const; 7554359294a7c9dc54802d512a5d891a35c1663392caryclark SkOpContour* debugContour(int id); 7654359294a7c9dc54802d512a5d891a35c1663392caryclark const class SkOpPtT* debugPtT(int id) const; 7727c8eb8ffd7e221693d840c2b9279d53fe6f03d4caryclark bool debugRunFail() const; 7854359294a7c9dc54802d512a5d891a35c1663392caryclark const class SkOpSegment* debugSegment(int id) const; 79dae6b97705fde08958b1a36fa6ce685d28fc692ccaryclark bool debugSkipAssert() const { return fDebugSkipAssert; } 8054359294a7c9dc54802d512a5d891a35c1663392caryclark const class SkOpSpanBase* debugSpan(int id) const; 81d4349723fac9c0fd4dcf8c275fb7c756bdfdff7bcaryclark const char* debugTestName() const { return fDebugTestName; } 824e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark#endif 834e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark 8426ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#if DEBUG_T_SECT_LOOP_COUNT 8526ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugAddLoopCount(SkIntersections* , const SkIntersectionHelper& , 8626ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark const SkIntersectionHelper& ); 8726ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugDoYourWorst(SkOpGlobalState* ); 8826ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugLoopReport(); 8926ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugResetLoopCounts(); 9026ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#endif 9126ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark 9255888e44171ffd48b591d19256884a969fe4da17caryclark#if DEBUG_COINCIDENCE 9355888e44171ffd48b591d19256884a969fe4da17caryclark void debugSetCheckHealth(bool check) { fDebugCheckHealth = check; } 9455888e44171ffd48b591d19256884a969fe4da17caryclark bool debugCheckHealth() const { return fDebugCheckHealth; } 9555888e44171ffd48b591d19256884a969fe4da17caryclark#endif 9655888e44171ffd48b591d19256884a969fe4da17caryclark 974e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark int nested() const { 984e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark return fNested; 994e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark } 10054359294a7c9dc54802d512a5d891a35c1663392caryclark 1014e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark#ifdef SK_DEBUG 10254359294a7c9dc54802d512a5d891a35c1663392caryclark int nextAngleID() { 10354359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fAngleID; 10454359294a7c9dc54802d512a5d891a35c1663392caryclark } 10554359294a7c9dc54802d512a5d891a35c1663392caryclark 10626ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark int nextCoinID() { 10726ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark return ++fCoinID; 10826ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark } 10926ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark 11054359294a7c9dc54802d512a5d891a35c1663392caryclark int nextContourID() { 11154359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fContourID; 11254359294a7c9dc54802d512a5d891a35c1663392caryclark } 11326ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark 11454359294a7c9dc54802d512a5d891a35c1663392caryclark int nextPtTID() { 11554359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fPtTID; 11654359294a7c9dc54802d512a5d891a35c1663392caryclark } 11754359294a7c9dc54802d512a5d891a35c1663392caryclark 11854359294a7c9dc54802d512a5d891a35c1663392caryclark int nextSegmentID() { 11954359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fSegmentID; 12054359294a7c9dc54802d512a5d891a35c1663392caryclark } 12154359294a7c9dc54802d512a5d891a35c1663392caryclark 12254359294a7c9dc54802d512a5d891a35c1663392caryclark int nextSpanID() { 12354359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fSpanID; 12454359294a7c9dc54802d512a5d891a35c1663392caryclark } 12554359294a7c9dc54802d512a5d891a35c1663392caryclark#endif 12654359294a7c9dc54802d512a5d891a35c1663392caryclark 12754359294a7c9dc54802d512a5d891a35c1663392caryclark Phase phase() const { 12854359294a7c9dc54802d512a5d891a35c1663392caryclark return fPhase; 12954359294a7c9dc54802d512a5d891a35c1663392caryclark } 13054359294a7c9dc54802d512a5d891a35c1663392caryclark 13154359294a7c9dc54802d512a5d891a35c1663392caryclark void setAngleCoincidence() { 13254359294a7c9dc54802d512a5d891a35c1663392caryclark fAngleCoincidence = true; 13354359294a7c9dc54802d512a5d891a35c1663392caryclark } 13455888e44171ffd48b591d19256884a969fe4da17caryclark 13555888e44171ffd48b591d19256884a969fe4da17caryclark void setCoincidence(SkOpCoincidence* coincidence) { 13655888e44171ffd48b591d19256884a969fe4da17caryclark fCoincidence = coincidence; 13755888e44171ffd48b591d19256884a969fe4da17caryclark } 13854359294a7c9dc54802d512a5d891a35c1663392caryclark 139624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark void setContourHead(SkOpContourHead* contourHead) { 140624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark fContourHead = contourHead; 141624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark } 142624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark 14354359294a7c9dc54802d512a5d891a35c1663392caryclark void setPhase(Phase phase) { 14454359294a7c9dc54802d512a5d891a35c1663392caryclark SkASSERT(fPhase != phase); 14554359294a7c9dc54802d512a5d891a35c1663392caryclark fPhase = phase; 14654359294a7c9dc54802d512a5d891a35c1663392caryclark } 14754359294a7c9dc54802d512a5d891a35c1663392caryclark 14854359294a7c9dc54802d512a5d891a35c1663392caryclark // called in very rare cases where angles are sorted incorrectly -- signfies op will fail 14954359294a7c9dc54802d512a5d891a35c1663392caryclark void setWindingFailed() { 15054359294a7c9dc54802d512a5d891a35c1663392caryclark fWindingFailed = true; 15154359294a7c9dc54802d512a5d891a35c1663392caryclark } 15254359294a7c9dc54802d512a5d891a35c1663392caryclark 15354359294a7c9dc54802d512a5d891a35c1663392caryclark bool windingFailed() const { 15454359294a7c9dc54802d512a5d891a35c1663392caryclark return fWindingFailed; 15554359294a7c9dc54802d512a5d891a35c1663392caryclark } 15654359294a7c9dc54802d512a5d891a35c1663392caryclark 15754359294a7c9dc54802d512a5d891a35c1663392caryclarkprivate: 15855888e44171ffd48b591d19256884a969fe4da17caryclark SkChunkAlloc* fAllocator; 15954359294a7c9dc54802d512a5d891a35c1663392caryclark SkOpCoincidence* fCoincidence; 160624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark SkOpContourHead* fContourHead; 1614e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark int fNested; 16254359294a7c9dc54802d512a5d891a35c1663392caryclark bool fWindingFailed; 16354359294a7c9dc54802d512a5d891a35c1663392caryclark bool fAngleCoincidence; 16454359294a7c9dc54802d512a5d891a35c1663392caryclark Phase fPhase; 16554359294a7c9dc54802d512a5d891a35c1663392caryclark#ifdef SK_DEBUG 166d4349723fac9c0fd4dcf8c275fb7c756bdfdff7bcaryclark const char* fDebugTestName; 16754359294a7c9dc54802d512a5d891a35c1663392caryclark int fAngleID; 16826ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark int fCoinID; 16954359294a7c9dc54802d512a5d891a35c1663392caryclark int fContourID; 17054359294a7c9dc54802d512a5d891a35c1663392caryclark int fPtTID; 17154359294a7c9dc54802d512a5d891a35c1663392caryclark int fSegmentID; 17254359294a7c9dc54802d512a5d891a35c1663392caryclark int fSpanID; 173dae6b97705fde08958b1a36fa6ce685d28fc692ccaryclark bool fDebugSkipAssert; 17454359294a7c9dc54802d512a5d891a35c1663392caryclark#endif 17526ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#if DEBUG_T_SECT_LOOP_COUNT 17626ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark int fDebugLoopCount[3]; 17726ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark SkPath::Verb fDebugWorstVerb[6]; 17826ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark SkPoint fDebugWorstPts[24]; 17926ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark float fDebugWorstWeight[6]; 18026ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#endif 18155888e44171ffd48b591d19256884a969fe4da17caryclark#if DEBUG_COINCIDENCE 18255888e44171ffd48b591d19256884a969fe4da17caryclark bool fDebugCheckHealth; 18355888e44171ffd48b591d19256884a969fe4da17caryclark#endif 18454359294a7c9dc54802d512a5d891a35c1663392caryclark}; 18554359294a7c9dc54802d512a5d891a35c1663392caryclark 186c3f63570c35a1e2bc84b33906c6401d6f3062bf2caryclark@google.com// Use Almost Equal when comparing coordinates. Use epsilon to compare T values. 1874fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.combool AlmostEqualUlps(float a, float b); 1884fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline bool AlmostEqualUlps(double a, double b) { 1894fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return AlmostEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 19007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 19107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 19255888e44171ffd48b591d19256884a969fe4da17caryclarkbool AlmostEqualUlpsNoNormalCheck(float a, float b); 19355888e44171ffd48b591d19256884a969fe4da17caryclarkinline bool AlmostEqualUlpsNoNormalCheck(double a, double b) { 19455888e44171ffd48b591d19256884a969fe4da17caryclark return AlmostEqualUlpsNoNormalCheck(SkDoubleToScalar(a), SkDoubleToScalar(b)); 19555888e44171ffd48b591d19256884a969fe4da17caryclark} 19655888e44171ffd48b591d19256884a969fe4da17caryclark 197b669300a9753893ef900207c38aeff2d467764e5caryclarkbool AlmostEqualUlps_Pin(float a, float b); 198b669300a9753893ef900207c38aeff2d467764e5caryclarkinline bool AlmostEqualUlps_Pin(double a, double b) { 199b669300a9753893ef900207c38aeff2d467764e5caryclark return AlmostEqualUlps_Pin(SkDoubleToScalar(a), SkDoubleToScalar(b)); 200b669300a9753893ef900207c38aeff2d467764e5caryclark} 201b669300a9753893ef900207c38aeff2d467764e5caryclark 2027eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com// Use Almost Dequal when comparing should not special case denormalized values. 2037eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.combool AlmostDequalUlps(float a, float b); 2042db7fe7d3b7ee875e1099a22f0af17520696f5d7commit-bot@chromium.orgbool AlmostDequalUlps(double a, double b); 2057eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com 206570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool NotAlmostEqualUlps(float a, float b); 207570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool NotAlmostEqualUlps(double a, double b) { 208570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return NotAlmostEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 209570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 210570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 211b669300a9753893ef900207c38aeff2d467764e5caryclarkbool NotAlmostEqualUlps_Pin(float a, float b); 212b669300a9753893ef900207c38aeff2d467764e5caryclarkinline bool NotAlmostEqualUlps_Pin(double a, double b) { 213b669300a9753893ef900207c38aeff2d467764e5caryclark return NotAlmostEqualUlps_Pin(SkDoubleToScalar(a), SkDoubleToScalar(b)); 214b669300a9753893ef900207c38aeff2d467764e5caryclark} 215b669300a9753893ef900207c38aeff2d467764e5caryclark 2167eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.combool NotAlmostDequalUlps(float a, float b); 2177eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.cominline bool NotAlmostDequalUlps(double a, double b) { 2187eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com return NotAlmostDequalUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 2197eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com} 2207eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com 221570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com// Use Almost Bequal when comparing coordinates in conjunction with between. 222570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool AlmostBequalUlps(float a, float b); 223570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool AlmostBequalUlps(double a, double b) { 224570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return AlmostBequalUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 225570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 226570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 227a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.combool AlmostPequalUlps(float a, float b); 228a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.cominline bool AlmostPequalUlps(double a, double b) { 229a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.com return AlmostPequalUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 230a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.com} 231a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.com 2324fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.combool RoughlyEqualUlps(float a, float b); 2334fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline bool RoughlyEqualUlps(double a, double b) { 2344fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return RoughlyEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 23507e97fccd2d85076cd22ef411b0773ab92a18abecaryclark@google.com} 23607e97fccd2d85076cd22ef411b0773ab92a18abecaryclark@google.com 237570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool AlmostLessUlps(float a, float b); 238570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool AlmostLessUlps(double a, double b) { 239570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return AlmostLessUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 240570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 241570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 242570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool AlmostLessOrEqualUlps(float a, float b); 243570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool AlmostLessOrEqualUlps(double a, double b) { 244570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return AlmostLessOrEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 245570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 246570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 247fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.combool AlmostBetweenUlps(float a, float b, float c); 2484fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline bool AlmostBetweenUlps(double a, double b, double c) { 2494fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return AlmostBetweenUlps(SkDoubleToScalar(a), SkDoubleToScalar(b), SkDoubleToScalar(c)); 2504fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com} 2514fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com 2524fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.comint UlpsDistance(float a, float b); 2534fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline int UlpsDistance(double a, double b) { 2544fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return UlpsDistance(SkDoubleToScalar(a), SkDoubleToScalar(b)); 255fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com} 256fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com 25707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// FLT_EPSILON == 1.19209290E-07 == 1 / (2 ^ 23) 25807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// DBL_EPSILON == 2.22045e-16 25907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_CUBED = FLT_EPSILON * FLT_EPSILON * FLT_EPSILON; 26007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_HALF = FLT_EPSILON / 2; 261cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.comconst double FLT_EPSILON_DOUBLE = FLT_EPSILON * 2; 2624431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orgconst double FLT_EPSILON_ORDERABLE_ERR = FLT_EPSILON * 16; 26307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_SQUARED = FLT_EPSILON * FLT_EPSILON; 26407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_SQRT = sqrt(FLT_EPSILON); 26507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_INVERSE = 1 / FLT_EPSILON; 26607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double DBL_EPSILON_ERR = DBL_EPSILON * 4; // FIXME: tune -- allow a few bits of error 267cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.comconst double DBL_EPSILON_SUBDIVIDE_ERR = DBL_EPSILON * 16; 26807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double ROUGH_EPSILON = FLT_EPSILON * 64; 26907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double MORE_ROUGH_EPSILON = FLT_EPSILON * 256; 270dac1d17027dcaa5596885a9f333979418b35001ccaryclarkconst double WAY_ROUGH_EPSILON = FLT_EPSILON * 2048; 27154359294a7c9dc54802d512a5d891a35c1663392caryclarkconst double BUMP_EPSILON = FLT_EPSILON * 4096; 272dac1d17027dcaa5596885a9f333979418b35001ccaryclark 27355888e44171ffd48b591d19256884a969fe4da17caryclarkconst SkScalar INVERSE_NUMBER_RANGE = FLT_EPSILON_ORDERABLE_ERR; 27455888e44171ffd48b591d19256884a969fe4da17caryclark 275dac1d17027dcaa5596885a9f333979418b35001ccaryclarkinline bool zero_or_one(double x) { 276dac1d17027dcaa5596885a9f333979418b35001ccaryclark return x == 0 || x == 1; 277dac1d17027dcaa5596885a9f333979418b35001ccaryclark} 27807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 27907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero(double x) { 28007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON; 28107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 28207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 28307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_zero(double x) { 28407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < DBL_EPSILON_ERR; 28507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 28607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 287cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool precisely_subdivide_zero(double x) { 288cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return fabs(x) < DBL_EPSILON_SUBDIVIDE_ERR; 289cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 290cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 29107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero(float x) { 29207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON; 29307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 29407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 29507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_cubed(double x) { 29607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_CUBED; 29707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 29807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 29907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_half(double x) { 30007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_HALF; 30107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 30207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 303cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool approximately_zero_double(double x) { 304cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return fabs(x) < FLT_EPSILON_DOUBLE; 305cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 306cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 3074431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_zero_orderable(double x) { 3084431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return fabs(x) < FLT_EPSILON_ORDERABLE_ERR; 3094431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 3104431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 31107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_squared(double x) { 31207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_SQUARED; 31307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 31407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 31507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_sqrt(double x) { 31607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_SQRT; 31707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 31807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 319cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool roughly_zero(double x) { 320cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return fabs(x) < ROUGH_EPSILON; 321cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 322cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 32307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_inverse(double x) { 32407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) > FLT_EPSILON_INVERSE; 32507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 32607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 32707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_when_compared_to(double x, double y) { 3284431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x == 0 || fabs(x) < fabs(y * FLT_EPSILON); 32907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 33007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 33154359294a7c9dc54802d512a5d891a35c1663392caryclarkinline bool precisely_zero_when_compared_to(double x, double y) { 33254359294a7c9dc54802d512a5d891a35c1663392caryclark return x == 0 || fabs(x) < fabs(y * DBL_EPSILON); 33354359294a7c9dc54802d512a5d891a35c1663392caryclark} 33454359294a7c9dc54802d512a5d891a35c1663392caryclark 33555888e44171ffd48b591d19256884a969fe4da17caryclarkinline bool roughly_zero_when_compared_to(double x, double y) { 33655888e44171ffd48b591d19256884a969fe4da17caryclark return x == 0 || fabs(x) < fabs(y * ROUGH_EPSILON); 33755888e44171ffd48b591d19256884a969fe4da17caryclark} 33855888e44171ffd48b591d19256884a969fe4da17caryclark 33907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// Use this for comparing Ts in the range of 0 to 1. For general numbers (larger and smaller) use 34007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// AlmostEqualUlps instead. 34107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_equal(double x, double y) { 34207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return approximately_zero(x - y); 34307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 34407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 34507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_equal(double x, double y) { 34607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return precisely_zero(x - y); 34707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 34807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 349cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool precisely_subdivide_equal(double x, double y) { 350cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return precisely_subdivide_zero(x - y); 351cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 352cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 35307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_equal_half(double x, double y) { 35407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return approximately_zero_half(x - y); 35507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 35607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 357cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool approximately_equal_double(double x, double y) { 358cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return approximately_zero_double(x - y); 359cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 360cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 3614431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_equal_orderable(double x, double y) { 3624431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return approximately_zero_orderable(x - y); 3634431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 3644431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 36507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_equal_squared(double x, double y) { 36607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return approximately_equal(x, y); 36707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 36807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 36907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_greater(double x, double y) { 37007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x - FLT_EPSILON >= y; 37107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 37207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 3734431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_double(double x, double y) { 3744431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_DOUBLE >= y; 3754431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 3764431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 3774431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_orderable(double x, double y) { 3784431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_ORDERABLE_ERR >= y; 3794431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 3804431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 38107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_greater_or_equal(double x, double y) { 38207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x + FLT_EPSILON > y; 38307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 38407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 3854431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_or_equal_double(double x, double y) { 3864431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_DOUBLE > y; 3874431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 3884431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 3894431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_or_equal_orderable(double x, double y) { 3904431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_ORDERABLE_ERR > y; 3914431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 3924431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 39307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_lesser(double x, double y) { 39407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x + FLT_EPSILON <= y; 39507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 39607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 3974431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_double(double x, double y) { 3984431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_DOUBLE <= y; 3994431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4004431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4014431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_orderable(double x, double y) { 4024431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_ORDERABLE_ERR <= y; 4034431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4044431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 40507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_lesser_or_equal(double x, double y) { 40607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x - FLT_EPSILON < y; 40707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 40807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4094431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_or_equal_double(double x, double y) { 4104431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_DOUBLE < y; 4114431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4124431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4134431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_or_equal_orderable(double x, double y) { 4144431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_ORDERABLE_ERR < y; 4154431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4164431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 41707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_greater_than_one(double x) { 41807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > 1 - FLT_EPSILON; 41907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 42007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 42107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_greater_than_one(double x) { 42207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > 1 - DBL_EPSILON_ERR; 42307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 42407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 42507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_less_than_zero(double x) { 42607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < FLT_EPSILON; 42707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 42807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 42907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_less_than_zero(double x) { 43007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < DBL_EPSILON_ERR; 43107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 43207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 43307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_negative(double x) { 43407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < FLT_EPSILON; 43507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 43607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4374431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_negative_orderable(double x) { 4384431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x < FLT_EPSILON_ORDERABLE_ERR; 4394431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4404431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 44107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_negative(double x) { 44207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < DBL_EPSILON_ERR; 44307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 44407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 44507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_one_or_less(double x) { 44607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < 1 + FLT_EPSILON; 44707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 44807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4494431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_one_or_less_double(double x) { 4504431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x < 1 + FLT_EPSILON_DOUBLE; 4514431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4524431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 45307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_positive(double x) { 45407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > -FLT_EPSILON; 45507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 45607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 45707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_positive_squared(double x) { 45807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > -(FLT_EPSILON_SQUARED); 45907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 46007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 46107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_or_more(double x) { 46207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > -FLT_EPSILON; 46307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 46407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4654431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_zero_or_more_double(double x) { 4664431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x > -FLT_EPSILON_DOUBLE; 4674431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4684431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4694431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_between_orderable(double a, double b, double c) { 4704431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return a <= c 4714431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org ? approximately_negative_orderable(a - b) && approximately_negative_orderable(b - c) 4724431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org : approximately_negative_orderable(b - a) && approximately_negative_orderable(c - b); 4734431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4744431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 47507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_between(double a, double b, double c) { 47607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return a <= c ? approximately_negative(a - b) && approximately_negative(b - c) 47707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com : approximately_negative(b - a) && approximately_negative(c - b); 47807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 4790361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com 4800361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.cominline bool precisely_between(double a, double b, double c) { 4810361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com return a <= c ? precisely_negative(a - b) && precisely_negative(b - c) 4820361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com : precisely_negative(b - a) && precisely_negative(c - b); 4830361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com} 48407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 48507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// returns true if (a <= b <= c) || (a >= b >= c) 48607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool between(double a, double b, double c) { 48754359294a7c9dc54802d512a5d891a35c1663392caryclark SkASSERT(((a <= b && b <= c) || (a >= b && b >= c)) == ((a - b) * (c - b) <= 0) 48854359294a7c9dc54802d512a5d891a35c1663392caryclark || (precisely_zero(a) && precisely_zero(b) && precisely_zero(c))); 48907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return (a - b) * (c - b) <= 0; 49007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 49107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 492dac1d17027dcaa5596885a9f333979418b35001ccaryclarkinline bool roughly_equal(double x, double y) { 493dac1d17027dcaa5596885a9f333979418b35001ccaryclark return fabs(x - y) < ROUGH_EPSILON; 494dac1d17027dcaa5596885a9f333979418b35001ccaryclark} 495dac1d17027dcaa5596885a9f333979418b35001ccaryclark 49654359294a7c9dc54802d512a5d891a35c1663392caryclarkinline bool roughly_negative(double x) { 49754359294a7c9dc54802d512a5d891a35c1663392caryclark return x < ROUGH_EPSILON; 49854359294a7c9dc54802d512a5d891a35c1663392caryclark} 49954359294a7c9dc54802d512a5d891a35c1663392caryclark 50054359294a7c9dc54802d512a5d891a35c1663392caryclarkinline bool roughly_between(double a, double b, double c) { 50154359294a7c9dc54802d512a5d891a35c1663392caryclark return a <= c ? roughly_negative(a - b) && roughly_negative(b - c) 50254359294a7c9dc54802d512a5d891a35c1663392caryclark : roughly_negative(b - a) && roughly_negative(c - b); 50354359294a7c9dc54802d512a5d891a35c1663392caryclark} 50454359294a7c9dc54802d512a5d891a35c1663392caryclark 50507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool more_roughly_equal(double x, double y) { 50607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x - y) < MORE_ROUGH_EPSILON; 50707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 50807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 509dac1d17027dcaa5596885a9f333979418b35001ccaryclarkinline bool way_roughly_equal(double x, double y) { 510dac1d17027dcaa5596885a9f333979418b35001ccaryclark return fabs(x - y) < WAY_ROUGH_EPSILON; 51107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 51207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 51307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDPoint; 51407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDVector; 51507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDLine; 51607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDQuad; 5171049f1246e7be4ccb68001361efceb8933e6f81ccaryclarkstruct SkDConic; 51807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDCubic; 51907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDRect; 52007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 521277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.cominline SkPath::Verb SkPathOpsPointsToVerb(int points) { 522277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com int verb = (1 << points) >> 1; 523277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#ifdef SK_DEBUG 524277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com switch (points) { 525277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 0: SkASSERT(SkPath::kMove_Verb == verb); break; 526277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 1: SkASSERT(SkPath::kLine_Verb == verb); break; 527277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 2: SkASSERT(SkPath::kQuad_Verb == verb); break; 528277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 3: SkASSERT(SkPath::kCubic_Verb == verb); break; 529330313a8a8343876ee596da39da06a5d69badd9cmtklein@google.com default: SkDEBUGFAIL("should not be here"); 530277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com } 531277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#endif 532277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com return (SkPath::Verb)verb; 533277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com} 534277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com 535277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.cominline int SkPathOpsVerbToPoints(SkPath::Verb verb) { 5361049f1246e7be4ccb68001361efceb8933e6f81ccaryclark int points = (int) verb - (((int) verb + 1) >> 2); 537277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#ifdef SK_DEBUG 538277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com switch (verb) { 539277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case SkPath::kLine_Verb: SkASSERT(1 == points); break; 540277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case SkPath::kQuad_Verb: SkASSERT(2 == points); break; 5411049f1246e7be4ccb68001361efceb8933e6f81ccaryclark case SkPath::kConic_Verb: SkASSERT(2 == points); break; 542277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case SkPath::kCubic_Verb: SkASSERT(3 == points); break; 543330313a8a8343876ee596da39da06a5d69badd9cmtklein@google.com default: SkDEBUGFAIL("should not get here"); 544277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com } 545277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#endif 546277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com return points; 547277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com} 548277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com 54907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline double SkDInterp(double A, double B, double t) { 55007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return A + (B - A) * t; 55107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 55207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 55307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comdouble SkDCubeRoot(double x); 55407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 55507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* Returns -1 if negative, 0 if zero, 1 if positive 55607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com*/ 55707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline int SkDSign(double x) { 55807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return (x > 0) - (x < 0); 55907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 56007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 56107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* Returns 0 if negative, 1 if zero, 2 if positive 56207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com*/ 56307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline int SKDSide(double x) { 56407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return (x > 0) + (x >= 0); 56507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 56607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 56707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* Returns 1 if negative, 2 if zero, 4 if positive 56807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com*/ 56907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline int SkDSideBit(double x) { 57007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return 1 << SKDSide(x); 57107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 57207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 573fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.cominline double SkPinT(double t) { 574fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com return precisely_less_than_zero(t) ? 0 : precisely_greater_than_one(t) ? 1 : t; 575fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com} 576fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com 57707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#endif 578