SkPathOpsTypes.h revision a35ab3e6e024d0b548ded26a2e3b8ecd838ead93
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 32ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clarkenum class SkOpPhase : char { 33ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark kNoChange, 34ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark kIntersecting, 35ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark kWalking, 36ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark kFixWinding, 37ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark}; 38ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark 3954359294a7c9dc54802d512a5d891a35c1663392caryclarkclass SkOpGlobalState { 4054359294a7c9dc54802d512a5d891a35c1663392caryclarkpublic: 4155888e44171ffd48b591d19256884a969fe4da17caryclark SkOpGlobalState(SkOpContourHead* head, 4255888e44171ffd48b591d19256884a969fe4da17caryclark SkChunkAlloc* allocator SkDEBUGPARAMS(bool debugSkipAssert) 43d4349723fac9c0fd4dcf8c275fb7c756bdfdff7bcaryclark SkDEBUGPARAMS(const char* testName)); 4454359294a7c9dc54802d512a5d891a35c1663392caryclark 45624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark enum { 46624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark kMaxWindingTries = 10 47624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark }; 48624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark 4929b2563afb1677515739f1d24fb27733626eca92caryclark bool allocatedOpSpan() const { 5029b2563afb1677515739f1d24fb27733626eca92caryclark return fAllocatedOpSpan; 5129b2563afb1677515739f1d24fb27733626eca92caryclark } 5229b2563afb1677515739f1d24fb27733626eca92caryclark 5355888e44171ffd48b591d19256884a969fe4da17caryclark SkChunkAlloc* allocator() { 5455888e44171ffd48b591d19256884a969fe4da17caryclark return fAllocator; 5555888e44171ffd48b591d19256884a969fe4da17caryclark } 5655888e44171ffd48b591d19256884a969fe4da17caryclark 574e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark void bumpNested() { 584e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark ++fNested; 594e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark } 604e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark 614e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark void clearNested() { 624e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark fNested = 0; 634e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark } 644e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark 6554359294a7c9dc54802d512a5d891a35c1663392caryclark SkOpCoincidence* coincidence() { 6654359294a7c9dc54802d512a5d891a35c1663392caryclark return fCoincidence; 6754359294a7c9dc54802d512a5d891a35c1663392caryclark } 6854359294a7c9dc54802d512a5d891a35c1663392caryclark 69624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark SkOpContourHead* contourHead() { 70624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark return fContourHead; 71624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark } 72624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark 7354359294a7c9dc54802d512a5d891a35c1663392caryclark#ifdef SK_DEBUG 7455888e44171ffd48b591d19256884a969fe4da17caryclark const class SkOpAngle* debugAngle(int id) const; 7555888e44171ffd48b591d19256884a969fe4da17caryclark const SkOpCoincidence* debugCoincidence() const; 7630b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark SkOpContour* debugContour(int id) const; 7754359294a7c9dc54802d512a5d891a35c1663392caryclark const class SkOpPtT* debugPtT(int id) const; 7827c8eb8ffd7e221693d840c2b9279d53fe6f03d4caryclark bool debugRunFail() const; 7954359294a7c9dc54802d512a5d891a35c1663392caryclark const class SkOpSegment* debugSegment(int id) const; 80dae6b97705fde08958b1a36fa6ce685d28fc692ccaryclark bool debugSkipAssert() const { return fDebugSkipAssert; } 8154359294a7c9dc54802d512a5d891a35c1663392caryclark const class SkOpSpanBase* debugSpan(int id) const; 82d4349723fac9c0fd4dcf8c275fb7c756bdfdff7bcaryclark const char* debugTestName() const { return fDebugTestName; } 834e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark#endif 844e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark 8526ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#if DEBUG_T_SECT_LOOP_COUNT 8626ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugAddLoopCount(SkIntersections* , const SkIntersectionHelper& , 8726ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark const SkIntersectionHelper& ); 8826ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugDoYourWorst(SkOpGlobalState* ); 8926ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugLoopReport(); 9026ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugResetLoopCounts(); 9126ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#endif 9226ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark 9355888e44171ffd48b591d19256884a969fe4da17caryclark#if DEBUG_COINCIDENCE 9455888e44171ffd48b591d19256884a969fe4da17caryclark void debugSetCheckHealth(bool check) { fDebugCheckHealth = check; } 9555888e44171ffd48b591d19256884a969fe4da17caryclark bool debugCheckHealth() const { return fDebugCheckHealth; } 9655888e44171ffd48b591d19256884a969fe4da17caryclark#endif 9755888e44171ffd48b591d19256884a969fe4da17caryclark 98ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#if DEBUG_VALIDATE || DEBUG_COIN 99ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void debugSetPhase(const char* funcName DEBUG_COIN_DECLARE_PARAMS()) const; 100ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#endif 101ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark 102ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#if DEBUG_COIN 103ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void debugAddToCoinChangedDict(); 104ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void debugAddToGlobalCoinDicts(); 105ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkPathOpsDebug::CoinDict* debugCoinChangedDict() { return &fCoinChangedDict; } 106ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark const SkPathOpsDebug::CoinDictEntry& debugCoinDictEntry() const { return fCoinDictEntry; } 107ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark 108ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark static void DumpCoinDict(); 109ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#endif 110ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark 111ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark 1124e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark int nested() const { 1134e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark return fNested; 1144e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark } 11554359294a7c9dc54802d512a5d891a35c1663392caryclark 1164e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark#ifdef SK_DEBUG 11754359294a7c9dc54802d512a5d891a35c1663392caryclark int nextAngleID() { 11854359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fAngleID; 11954359294a7c9dc54802d512a5d891a35c1663392caryclark } 12054359294a7c9dc54802d512a5d891a35c1663392caryclark 12126ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark int nextCoinID() { 12226ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark return ++fCoinID; 12326ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark } 12426ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark 12554359294a7c9dc54802d512a5d891a35c1663392caryclark int nextContourID() { 12654359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fContourID; 12754359294a7c9dc54802d512a5d891a35c1663392caryclark } 12826ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark 12954359294a7c9dc54802d512a5d891a35c1663392caryclark int nextPtTID() { 13054359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fPtTID; 13154359294a7c9dc54802d512a5d891a35c1663392caryclark } 13254359294a7c9dc54802d512a5d891a35c1663392caryclark 13354359294a7c9dc54802d512a5d891a35c1663392caryclark int nextSegmentID() { 13454359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fSegmentID; 13554359294a7c9dc54802d512a5d891a35c1663392caryclark } 13654359294a7c9dc54802d512a5d891a35c1663392caryclark 13754359294a7c9dc54802d512a5d891a35c1663392caryclark int nextSpanID() { 13854359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fSpanID; 13954359294a7c9dc54802d512a5d891a35c1663392caryclark } 14054359294a7c9dc54802d512a5d891a35c1663392caryclark#endif 14154359294a7c9dc54802d512a5d891a35c1663392caryclark 142ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkOpPhase phase() const { 14354359294a7c9dc54802d512a5d891a35c1663392caryclark return fPhase; 14454359294a7c9dc54802d512a5d891a35c1663392caryclark } 14529b2563afb1677515739f1d24fb27733626eca92caryclark 14629b2563afb1677515739f1d24fb27733626eca92caryclark void resetAllocatedOpSpan() { 14729b2563afb1677515739f1d24fb27733626eca92caryclark fAllocatedOpSpan = false; 14829b2563afb1677515739f1d24fb27733626eca92caryclark } 14929b2563afb1677515739f1d24fb27733626eca92caryclark 15029b2563afb1677515739f1d24fb27733626eca92caryclark void setAllocatedOpSpan() { 15129b2563afb1677515739f1d24fb27733626eca92caryclark fAllocatedOpSpan = true; 15229b2563afb1677515739f1d24fb27733626eca92caryclark } 15354359294a7c9dc54802d512a5d891a35c1663392caryclark 15455888e44171ffd48b591d19256884a969fe4da17caryclark void setCoincidence(SkOpCoincidence* coincidence) { 15555888e44171ffd48b591d19256884a969fe4da17caryclark fCoincidence = coincidence; 15655888e44171ffd48b591d19256884a969fe4da17caryclark } 15754359294a7c9dc54802d512a5d891a35c1663392caryclark 158624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark void setContourHead(SkOpContourHead* contourHead) { 159624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark fContourHead = contourHead; 160624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark } 161624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark 162ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void setPhase(SkOpPhase phase) { 163ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark if (SkOpPhase::kNoChange == phase) { 164ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark return; 165ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark } 16654359294a7c9dc54802d512a5d891a35c1663392caryclark SkASSERT(fPhase != phase); 16754359294a7c9dc54802d512a5d891a35c1663392caryclark fPhase = phase; 16854359294a7c9dc54802d512a5d891a35c1663392caryclark } 16954359294a7c9dc54802d512a5d891a35c1663392caryclark 17054359294a7c9dc54802d512a5d891a35c1663392caryclark // called in very rare cases where angles are sorted incorrectly -- signfies op will fail 17154359294a7c9dc54802d512a5d891a35c1663392caryclark void setWindingFailed() { 17254359294a7c9dc54802d512a5d891a35c1663392caryclark fWindingFailed = true; 17354359294a7c9dc54802d512a5d891a35c1663392caryclark } 17454359294a7c9dc54802d512a5d891a35c1663392caryclark 17554359294a7c9dc54802d512a5d891a35c1663392caryclark bool windingFailed() const { 17654359294a7c9dc54802d512a5d891a35c1663392caryclark return fWindingFailed; 17754359294a7c9dc54802d512a5d891a35c1663392caryclark } 17854359294a7c9dc54802d512a5d891a35c1663392caryclark 17954359294a7c9dc54802d512a5d891a35c1663392caryclarkprivate: 18055888e44171ffd48b591d19256884a969fe4da17caryclark SkChunkAlloc* fAllocator; 18154359294a7c9dc54802d512a5d891a35c1663392caryclark SkOpCoincidence* fCoincidence; 182624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark SkOpContourHead* fContourHead; 1834e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark int fNested; 18429b2563afb1677515739f1d24fb27733626eca92caryclark bool fAllocatedOpSpan; 18554359294a7c9dc54802d512a5d891a35c1663392caryclark bool fWindingFailed; 186ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkOpPhase fPhase; 18754359294a7c9dc54802d512a5d891a35c1663392caryclark#ifdef SK_DEBUG 188d4349723fac9c0fd4dcf8c275fb7c756bdfdff7bcaryclark const char* fDebugTestName; 189ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void* fDebugReporter; 19054359294a7c9dc54802d512a5d891a35c1663392caryclark int fAngleID; 19126ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark int fCoinID; 19254359294a7c9dc54802d512a5d891a35c1663392caryclark int fContourID; 19354359294a7c9dc54802d512a5d891a35c1663392caryclark int fPtTID; 19454359294a7c9dc54802d512a5d891a35c1663392caryclark int fSegmentID; 19554359294a7c9dc54802d512a5d891a35c1663392caryclark int fSpanID; 196dae6b97705fde08958b1a36fa6ce685d28fc692ccaryclark bool fDebugSkipAssert; 19754359294a7c9dc54802d512a5d891a35c1663392caryclark#endif 19826ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#if DEBUG_T_SECT_LOOP_COUNT 19926ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark int fDebugLoopCount[3]; 20026ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark SkPath::Verb fDebugWorstVerb[6]; 20126ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark SkPoint fDebugWorstPts[24]; 20226ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark float fDebugWorstWeight[6]; 20326ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#endif 204ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#if DEBUG_COIN 205ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkPathOpsDebug::CoinDict fCoinChangedDict; 206ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkPathOpsDebug::CoinDict fCoinVisitedDict; 207ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkPathOpsDebug::CoinDictEntry fCoinDictEntry; 208ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark const char* fPreviousFuncName; 209ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#endif 21055888e44171ffd48b591d19256884a969fe4da17caryclark#if DEBUG_COINCIDENCE 21155888e44171ffd48b591d19256884a969fe4da17caryclark bool fDebugCheckHealth; 21255888e44171ffd48b591d19256884a969fe4da17caryclark#endif 21354359294a7c9dc54802d512a5d891a35c1663392caryclark}; 21454359294a7c9dc54802d512a5d891a35c1663392caryclark 215cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#ifdef SK_DEBUG 21630b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark#if DEBUG_COINCIDENCE 21730b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark#define SkOPASSERT(cond) SkASSERT((this->globalState() && \ 21830b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark (this->globalState()->debugCheckHealth() || \ 21930b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark this->globalState()->debugSkipAssert())) || (cond)) 22030b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark#else 221e25a4f6cbeaccfdc34cf031103f0fbc3e53a3ee5caryclark#define SkOPASSERT(cond) SkASSERT((this->globalState() && \ 22230b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark this->globalState()->debugSkipAssert()) || (cond)) 22330b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark#endif 224a35ab3e6e024d0b548ded26a2e3b8ecd838ead93caryclark#define SkOPOBJASSERT(obj, cond) SkASSERT((obj->globalState() && \ 225a35ab3e6e024d0b548ded26a2e3b8ecd838ead93caryclark obj->globalState()->debugSkipAssert()) || (cond)) 226cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#else 227cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#define SkOPASSERT(cond) 228cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#define SkOPOBJASSERT(obj, cond) 229cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#endif 2301597628fa38d24f23ad505bfb40e70e7c8617457caryclark 231c3f63570c35a1e2bc84b33906c6401d6f3062bf2caryclark@google.com// Use Almost Equal when comparing coordinates. Use epsilon to compare T values. 2324fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.combool AlmostEqualUlps(float a, float b); 2334fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline bool AlmostEqualUlps(double a, double b) { 2344fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return AlmostEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 23507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 23607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 23755888e44171ffd48b591d19256884a969fe4da17caryclarkbool AlmostEqualUlpsNoNormalCheck(float a, float b); 23855888e44171ffd48b591d19256884a969fe4da17caryclarkinline bool AlmostEqualUlpsNoNormalCheck(double a, double b) { 23955888e44171ffd48b591d19256884a969fe4da17caryclark return AlmostEqualUlpsNoNormalCheck(SkDoubleToScalar(a), SkDoubleToScalar(b)); 24055888e44171ffd48b591d19256884a969fe4da17caryclark} 24155888e44171ffd48b591d19256884a969fe4da17caryclark 242b669300a9753893ef900207c38aeff2d467764e5caryclarkbool AlmostEqualUlps_Pin(float a, float b); 243b669300a9753893ef900207c38aeff2d467764e5caryclarkinline bool AlmostEqualUlps_Pin(double a, double b) { 244b669300a9753893ef900207c38aeff2d467764e5caryclark return AlmostEqualUlps_Pin(SkDoubleToScalar(a), SkDoubleToScalar(b)); 245b669300a9753893ef900207c38aeff2d467764e5caryclark} 246b669300a9753893ef900207c38aeff2d467764e5caryclark 2477eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com// Use Almost Dequal when comparing should not special case denormalized values. 2487eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.combool AlmostDequalUlps(float a, float b); 2492db7fe7d3b7ee875e1099a22f0af17520696f5d7commit-bot@chromium.orgbool AlmostDequalUlps(double a, double b); 2507eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com 251570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool NotAlmostEqualUlps(float a, float b); 252570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool NotAlmostEqualUlps(double a, double b) { 253570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return NotAlmostEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 254570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 255570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 256b669300a9753893ef900207c38aeff2d467764e5caryclarkbool NotAlmostEqualUlps_Pin(float a, float b); 257b669300a9753893ef900207c38aeff2d467764e5caryclarkinline bool NotAlmostEqualUlps_Pin(double a, double b) { 258b669300a9753893ef900207c38aeff2d467764e5caryclark return NotAlmostEqualUlps_Pin(SkDoubleToScalar(a), SkDoubleToScalar(b)); 259b669300a9753893ef900207c38aeff2d467764e5caryclark} 260b669300a9753893ef900207c38aeff2d467764e5caryclark 2617eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.combool NotAlmostDequalUlps(float a, float b); 2627eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.cominline bool NotAlmostDequalUlps(double a, double b) { 2637eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com return NotAlmostDequalUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 2647eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com} 2657eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com 266570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com// Use Almost Bequal when comparing coordinates in conjunction with between. 267570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool AlmostBequalUlps(float a, float b); 268570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool AlmostBequalUlps(double a, double b) { 269570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return AlmostBequalUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 270570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 271570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 272a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.combool AlmostPequalUlps(float a, float b); 273a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.cominline bool AlmostPequalUlps(double a, double b) { 274a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.com return AlmostPequalUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 275a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.com} 276a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.com 2774fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.combool RoughlyEqualUlps(float a, float b); 2784fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline bool RoughlyEqualUlps(double a, double b) { 2794fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return RoughlyEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 28007e97fccd2d85076cd22ef411b0773ab92a18abecaryclark@google.com} 28107e97fccd2d85076cd22ef411b0773ab92a18abecaryclark@google.com 282570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool AlmostLessUlps(float a, float b); 283570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool AlmostLessUlps(double a, double b) { 284570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return AlmostLessUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 285570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 286570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 287570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool AlmostLessOrEqualUlps(float a, float b); 288570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool AlmostLessOrEqualUlps(double a, double b) { 289570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return AlmostLessOrEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 290570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 291570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 292fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.combool AlmostBetweenUlps(float a, float b, float c); 2934fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline bool AlmostBetweenUlps(double a, double b, double c) { 2944fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return AlmostBetweenUlps(SkDoubleToScalar(a), SkDoubleToScalar(b), SkDoubleToScalar(c)); 2954fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com} 2964fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com 2974fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.comint UlpsDistance(float a, float b); 2984fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline int UlpsDistance(double a, double b) { 2994fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return UlpsDistance(SkDoubleToScalar(a), SkDoubleToScalar(b)); 300fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com} 301fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com 30207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// FLT_EPSILON == 1.19209290E-07 == 1 / (2 ^ 23) 30307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// DBL_EPSILON == 2.22045e-16 30407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_CUBED = FLT_EPSILON * FLT_EPSILON * FLT_EPSILON; 30507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_HALF = FLT_EPSILON / 2; 306cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.comconst double FLT_EPSILON_DOUBLE = FLT_EPSILON * 2; 3074431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orgconst double FLT_EPSILON_ORDERABLE_ERR = FLT_EPSILON * 16; 30807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_SQUARED = FLT_EPSILON * FLT_EPSILON; 30907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_SQRT = sqrt(FLT_EPSILON); 31007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_INVERSE = 1 / FLT_EPSILON; 31107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double DBL_EPSILON_ERR = DBL_EPSILON * 4; // FIXME: tune -- allow a few bits of error 312cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.comconst double DBL_EPSILON_SUBDIVIDE_ERR = DBL_EPSILON * 16; 31307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double ROUGH_EPSILON = FLT_EPSILON * 64; 31407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double MORE_ROUGH_EPSILON = FLT_EPSILON * 256; 315dac1d17027dcaa5596885a9f333979418b35001ccaryclarkconst double WAY_ROUGH_EPSILON = FLT_EPSILON * 2048; 31654359294a7c9dc54802d512a5d891a35c1663392caryclarkconst double BUMP_EPSILON = FLT_EPSILON * 4096; 317dac1d17027dcaa5596885a9f333979418b35001ccaryclark 31855888e44171ffd48b591d19256884a969fe4da17caryclarkconst SkScalar INVERSE_NUMBER_RANGE = FLT_EPSILON_ORDERABLE_ERR; 31955888e44171ffd48b591d19256884a969fe4da17caryclark 320dac1d17027dcaa5596885a9f333979418b35001ccaryclarkinline bool zero_or_one(double x) { 321dac1d17027dcaa5596885a9f333979418b35001ccaryclark return x == 0 || x == 1; 322dac1d17027dcaa5596885a9f333979418b35001ccaryclark} 32307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 32407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero(double x) { 32507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON; 32607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 32707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 32807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_zero(double x) { 32907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < DBL_EPSILON_ERR; 33007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 33107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 332cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool precisely_subdivide_zero(double x) { 333cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return fabs(x) < DBL_EPSILON_SUBDIVIDE_ERR; 334cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 335cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 33607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero(float x) { 33707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON; 33807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 33907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 34007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_cubed(double x) { 34107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_CUBED; 34207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 34307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 34407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_half(double x) { 34507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_HALF; 34607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 34707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 348cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool approximately_zero_double(double x) { 349cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return fabs(x) < FLT_EPSILON_DOUBLE; 350cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 351cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 3524431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_zero_orderable(double x) { 3534431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return fabs(x) < FLT_EPSILON_ORDERABLE_ERR; 3544431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 3554431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 35607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_squared(double x) { 35707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_SQUARED; 35807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 35907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 36007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_sqrt(double x) { 36107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_SQRT; 36207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 36307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 364cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool roughly_zero(double x) { 365cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return fabs(x) < ROUGH_EPSILON; 366cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 367cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 36807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_inverse(double x) { 36907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) > FLT_EPSILON_INVERSE; 37007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 37107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 37207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_when_compared_to(double x, double y) { 3734431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x == 0 || fabs(x) < fabs(y * FLT_EPSILON); 37407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 37507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 37654359294a7c9dc54802d512a5d891a35c1663392caryclarkinline bool precisely_zero_when_compared_to(double x, double y) { 37754359294a7c9dc54802d512a5d891a35c1663392caryclark return x == 0 || fabs(x) < fabs(y * DBL_EPSILON); 37854359294a7c9dc54802d512a5d891a35c1663392caryclark} 37954359294a7c9dc54802d512a5d891a35c1663392caryclark 38055888e44171ffd48b591d19256884a969fe4da17caryclarkinline bool roughly_zero_when_compared_to(double x, double y) { 38155888e44171ffd48b591d19256884a969fe4da17caryclark return x == 0 || fabs(x) < fabs(y * ROUGH_EPSILON); 38255888e44171ffd48b591d19256884a969fe4da17caryclark} 38355888e44171ffd48b591d19256884a969fe4da17caryclark 38407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// Use this for comparing Ts in the range of 0 to 1. For general numbers (larger and smaller) use 38507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// AlmostEqualUlps instead. 38607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_equal(double x, double y) { 38707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return approximately_zero(x - y); 38807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 38907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 39007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_equal(double x, double y) { 39107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return precisely_zero(x - y); 39207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 39307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 394cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool precisely_subdivide_equal(double x, double y) { 395cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return precisely_subdivide_zero(x - y); 396cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 397cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 39807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_equal_half(double x, double y) { 39907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return approximately_zero_half(x - y); 40007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 40107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 402cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool approximately_equal_double(double x, double y) { 403cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return approximately_zero_double(x - y); 404cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 405cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 4064431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_equal_orderable(double x, double y) { 4074431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return approximately_zero_orderable(x - y); 4084431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4094431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 41007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_equal_squared(double x, double y) { 41107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return approximately_equal(x, y); 41207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 41307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 41407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_greater(double x, double y) { 41507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x - FLT_EPSILON >= y; 41607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 41707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4184431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_double(double x, double y) { 4194431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_DOUBLE >= y; 4204431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4214431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4224431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_orderable(double x, double y) { 4234431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_ORDERABLE_ERR >= y; 4244431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4254431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 42607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_greater_or_equal(double x, double y) { 42707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x + FLT_EPSILON > y; 42807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 42907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4304431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_or_equal_double(double x, double y) { 4314431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_DOUBLE > y; 4324431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4334431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4344431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_or_equal_orderable(double x, double y) { 4354431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_ORDERABLE_ERR > y; 4364431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4374431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 43807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_lesser(double x, double y) { 43907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x + FLT_EPSILON <= y; 44007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 44107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4424431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_double(double x, double y) { 4434431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_DOUBLE <= y; 4444431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4454431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4464431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_orderable(double x, double y) { 4474431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_ORDERABLE_ERR <= y; 4484431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4494431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 45007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_lesser_or_equal(double x, double y) { 45107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x - FLT_EPSILON < y; 45207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 45307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4544431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_or_equal_double(double x, double y) { 4554431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_DOUBLE < y; 4564431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4574431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4584431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_or_equal_orderable(double x, double y) { 4594431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_ORDERABLE_ERR < y; 4604431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4614431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 46207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_greater_than_one(double x) { 46307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > 1 - FLT_EPSILON; 46407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 46507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 46607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_greater_than_one(double x) { 46707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > 1 - DBL_EPSILON_ERR; 46807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 46907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 47007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_less_than_zero(double x) { 47107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < FLT_EPSILON; 47207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 47307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 47407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_less_than_zero(double x) { 47507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < DBL_EPSILON_ERR; 47607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 47707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 47807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_negative(double x) { 47907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < FLT_EPSILON; 48007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 48107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4824431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_negative_orderable(double x) { 4834431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x < FLT_EPSILON_ORDERABLE_ERR; 4844431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4854431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 48607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_negative(double x) { 48707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < DBL_EPSILON_ERR; 48807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 48907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 49007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_one_or_less(double x) { 49107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < 1 + FLT_EPSILON; 49207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 49307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4944431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_one_or_less_double(double x) { 4954431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x < 1 + FLT_EPSILON_DOUBLE; 4964431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4974431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 49807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_positive(double x) { 49907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > -FLT_EPSILON; 50007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 50107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 50207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_positive_squared(double x) { 50307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > -(FLT_EPSILON_SQUARED); 50407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 50507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 50607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_or_more(double x) { 50707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > -FLT_EPSILON; 50807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 50907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 5104431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_zero_or_more_double(double x) { 5114431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x > -FLT_EPSILON_DOUBLE; 5124431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 5134431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 5144431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_between_orderable(double a, double b, double c) { 5154431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return a <= c 5164431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org ? approximately_negative_orderable(a - b) && approximately_negative_orderable(b - c) 5174431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org : approximately_negative_orderable(b - a) && approximately_negative_orderable(c - b); 5184431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 5194431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 52007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_between(double a, double b, double c) { 52107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return a <= c ? approximately_negative(a - b) && approximately_negative(b - c) 52207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com : approximately_negative(b - a) && approximately_negative(c - b); 52307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 5240361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com 5250361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.cominline bool precisely_between(double a, double b, double c) { 5260361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com return a <= c ? precisely_negative(a - b) && precisely_negative(b - c) 5270361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com : precisely_negative(b - a) && precisely_negative(c - b); 5280361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com} 52907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 53007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// returns true if (a <= b <= c) || (a >= b >= c) 53107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool between(double a, double b, double c) { 53254359294a7c9dc54802d512a5d891a35c1663392caryclark SkASSERT(((a <= b && b <= c) || (a >= b && b >= c)) == ((a - b) * (c - b) <= 0) 53354359294a7c9dc54802d512a5d891a35c1663392caryclark || (precisely_zero(a) && precisely_zero(b) && precisely_zero(c))); 53407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return (a - b) * (c - b) <= 0; 53507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 53607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 537dac1d17027dcaa5596885a9f333979418b35001ccaryclarkinline bool roughly_equal(double x, double y) { 538dac1d17027dcaa5596885a9f333979418b35001ccaryclark return fabs(x - y) < ROUGH_EPSILON; 539dac1d17027dcaa5596885a9f333979418b35001ccaryclark} 540dac1d17027dcaa5596885a9f333979418b35001ccaryclark 54154359294a7c9dc54802d512a5d891a35c1663392caryclarkinline bool roughly_negative(double x) { 54254359294a7c9dc54802d512a5d891a35c1663392caryclark return x < ROUGH_EPSILON; 54354359294a7c9dc54802d512a5d891a35c1663392caryclark} 54454359294a7c9dc54802d512a5d891a35c1663392caryclark 54554359294a7c9dc54802d512a5d891a35c1663392caryclarkinline bool roughly_between(double a, double b, double c) { 54654359294a7c9dc54802d512a5d891a35c1663392caryclark return a <= c ? roughly_negative(a - b) && roughly_negative(b - c) 54754359294a7c9dc54802d512a5d891a35c1663392caryclark : roughly_negative(b - a) && roughly_negative(c - b); 54854359294a7c9dc54802d512a5d891a35c1663392caryclark} 54954359294a7c9dc54802d512a5d891a35c1663392caryclark 55007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool more_roughly_equal(double x, double y) { 55107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x - y) < MORE_ROUGH_EPSILON; 55207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 55307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 55407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDPoint; 55507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDVector; 55607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDLine; 55707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDQuad; 5581049f1246e7be4ccb68001361efceb8933e6f81ccaryclarkstruct SkDConic; 55907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDCubic; 56007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDRect; 56107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 562277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.cominline SkPath::Verb SkPathOpsPointsToVerb(int points) { 563277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com int verb = (1 << points) >> 1; 564277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#ifdef SK_DEBUG 565277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com switch (points) { 566277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 0: SkASSERT(SkPath::kMove_Verb == verb); break; 567277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 1: SkASSERT(SkPath::kLine_Verb == verb); break; 568277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 2: SkASSERT(SkPath::kQuad_Verb == verb); break; 569277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 3: SkASSERT(SkPath::kCubic_Verb == verb); break; 570330313a8a8343876ee596da39da06a5d69badd9cmtklein@google.com default: SkDEBUGFAIL("should not be here"); 571277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com } 572277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#endif 573277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com return (SkPath::Verb)verb; 574277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com} 575277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com 576277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.cominline int SkPathOpsVerbToPoints(SkPath::Verb verb) { 5771049f1246e7be4ccb68001361efceb8933e6f81ccaryclark int points = (int) verb - (((int) verb + 1) >> 2); 578277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#ifdef SK_DEBUG 579277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com switch (verb) { 580277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case SkPath::kLine_Verb: SkASSERT(1 == points); break; 581277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case SkPath::kQuad_Verb: SkASSERT(2 == points); break; 5821049f1246e7be4ccb68001361efceb8933e6f81ccaryclark case SkPath::kConic_Verb: SkASSERT(2 == points); break; 583277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case SkPath::kCubic_Verb: SkASSERT(3 == points); break; 584330313a8a8343876ee596da39da06a5d69badd9cmtklein@google.com default: SkDEBUGFAIL("should not get here"); 585277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com } 586277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#endif 587277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com return points; 588277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com} 589277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com 59007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline double SkDInterp(double A, double B, double t) { 59107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return A + (B - A) * t; 59207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 59307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 59407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comdouble SkDCubeRoot(double x); 59507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 59607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* Returns -1 if negative, 0 if zero, 1 if positive 59707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com*/ 59807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline int SkDSign(double x) { 59907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return (x > 0) - (x < 0); 60007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 60107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 60207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* Returns 0 if negative, 1 if zero, 2 if positive 60307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com*/ 60407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline int SKDSide(double x) { 60507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return (x > 0) + (x >= 0); 60607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 60707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 60807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* Returns 1 if negative, 2 if zero, 4 if positive 60907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com*/ 61007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline int SkDSideBit(double x) { 61107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return 1 << SKDSide(x); 61207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 61307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 614fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.cominline double SkPinT(double t) { 615fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com return precisely_less_than_zero(t) ? 0 : precisely_greater_than_one(t) ? 1 : t; 616fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com} 617fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com 61807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#endif 619