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 1207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#include "SkFloatingPoint.h" 13277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#include "SkPath.h" 1407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#include "SkPathOps.h" 1507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#include "SkPathOpsDebug.h" 16e9f78b41c65a78400c22a1b79007b1b9e187a745Mike Klein#include "SkSafe_math.h" // for fabs, sqrt 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 25c3cc5fa6de0a8237d9241dbf3e6c0786a9040069Herb Derbyclass SkArenaAlloc; 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, 42c3cc5fa6de0a8237d9241dbf3e6c0786a9040069Herb Derby SkArenaAlloc* 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 53c3cc5fa6de0a8237d9241dbf3e6c0786a9040069Herb Derby SkArenaAlloc* 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; 781326068147ee60de138061a3fc1157fcfd5d017bcaryclark#endif 791326068147ee60de138061a3fc1157fcfd5d017bcaryclark 8059d5a0e3f560da40e0ae7036a01d7d58ce3718d8Cary Clark static bool DebugRunFail(); 8159d5a0e3f560da40e0ae7036a01d7d58ce3718d8Cary Clark 821326068147ee60de138061a3fc1157fcfd5d017bcaryclark#ifdef SK_DEBUG 8354359294a7c9dc54802d512a5d891a35c1663392caryclark const class SkOpSegment* debugSegment(int id) const; 84dae6b97705fde08958b1a36fa6ce685d28fc692ccaryclark bool debugSkipAssert() const { return fDebugSkipAssert; } 8554359294a7c9dc54802d512a5d891a35c1663392caryclark const class SkOpSpanBase* debugSpan(int id) const; 86d4349723fac9c0fd4dcf8c275fb7c756bdfdff7bcaryclark const char* debugTestName() const { return fDebugTestName; } 874e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark#endif 884e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark 8926ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#if DEBUG_T_SECT_LOOP_COUNT 9026ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugAddLoopCount(SkIntersections* , const SkIntersectionHelper& , 9126ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark const SkIntersectionHelper& ); 9226ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugDoYourWorst(SkOpGlobalState* ); 9326ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugLoopReport(); 9426ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark void debugResetLoopCounts(); 9526ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#endif 9626ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark 9755888e44171ffd48b591d19256884a969fe4da17caryclark#if DEBUG_COINCIDENCE 9855888e44171ffd48b591d19256884a969fe4da17caryclark void debugSetCheckHealth(bool check) { fDebugCheckHealth = check; } 9955888e44171ffd48b591d19256884a969fe4da17caryclark bool debugCheckHealth() const { return fDebugCheckHealth; } 10055888e44171ffd48b591d19256884a969fe4da17caryclark#endif 10155888e44171ffd48b591d19256884a969fe4da17caryclark 102ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#if DEBUG_VALIDATE || DEBUG_COIN 103ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void debugSetPhase(const char* funcName DEBUG_COIN_DECLARE_PARAMS()) const; 104ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#endif 105ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark 106ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#if DEBUG_COIN 107ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void debugAddToCoinChangedDict(); 108ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void debugAddToGlobalCoinDicts(); 109ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkPathOpsDebug::CoinDict* debugCoinChangedDict() { return &fCoinChangedDict; } 110ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark const SkPathOpsDebug::CoinDictEntry& debugCoinDictEntry() const { return fCoinDictEntry; } 111ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark 112ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark static void DumpCoinDict(); 113ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#endif 114ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark 115ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark 1164e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark int nested() const { 1174e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark return fNested; 1184e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark } 11954359294a7c9dc54802d512a5d891a35c1663392caryclark 1204e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark#ifdef SK_DEBUG 12154359294a7c9dc54802d512a5d891a35c1663392caryclark int nextAngleID() { 12254359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fAngleID; 12354359294a7c9dc54802d512a5d891a35c1663392caryclark } 12454359294a7c9dc54802d512a5d891a35c1663392caryclark 12526ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark int nextCoinID() { 12626ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark return ++fCoinID; 12726ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark } 12826ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark 12954359294a7c9dc54802d512a5d891a35c1663392caryclark int nextContourID() { 13054359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fContourID; 13154359294a7c9dc54802d512a5d891a35c1663392caryclark } 13226ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark 13354359294a7c9dc54802d512a5d891a35c1663392caryclark int nextPtTID() { 13454359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fPtTID; 13554359294a7c9dc54802d512a5d891a35c1663392caryclark } 13654359294a7c9dc54802d512a5d891a35c1663392caryclark 13754359294a7c9dc54802d512a5d891a35c1663392caryclark int nextSegmentID() { 13854359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fSegmentID; 13954359294a7c9dc54802d512a5d891a35c1663392caryclark } 14054359294a7c9dc54802d512a5d891a35c1663392caryclark 14154359294a7c9dc54802d512a5d891a35c1663392caryclark int nextSpanID() { 14254359294a7c9dc54802d512a5d891a35c1663392caryclark return ++fSpanID; 14354359294a7c9dc54802d512a5d891a35c1663392caryclark } 14454359294a7c9dc54802d512a5d891a35c1663392caryclark#endif 14554359294a7c9dc54802d512a5d891a35c1663392caryclark 146ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkOpPhase phase() const { 14754359294a7c9dc54802d512a5d891a35c1663392caryclark return fPhase; 14854359294a7c9dc54802d512a5d891a35c1663392caryclark } 149e9f78b41c65a78400c22a1b79007b1b9e187a745Mike Klein 15029b2563afb1677515739f1d24fb27733626eca92caryclark void resetAllocatedOpSpan() { 15129b2563afb1677515739f1d24fb27733626eca92caryclark fAllocatedOpSpan = false; 15229b2563afb1677515739f1d24fb27733626eca92caryclark } 15329b2563afb1677515739f1d24fb27733626eca92caryclark 15429b2563afb1677515739f1d24fb27733626eca92caryclark void setAllocatedOpSpan() { 15529b2563afb1677515739f1d24fb27733626eca92caryclark fAllocatedOpSpan = true; 15629b2563afb1677515739f1d24fb27733626eca92caryclark } 15754359294a7c9dc54802d512a5d891a35c1663392caryclark 15855888e44171ffd48b591d19256884a969fe4da17caryclark void setCoincidence(SkOpCoincidence* coincidence) { 15955888e44171ffd48b591d19256884a969fe4da17caryclark fCoincidence = coincidence; 16055888e44171ffd48b591d19256884a969fe4da17caryclark } 161e9f78b41c65a78400c22a1b79007b1b9e187a745Mike Klein 162624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark void setContourHead(SkOpContourHead* contourHead) { 163624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark fContourHead = contourHead; 164624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark } 165624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark 166ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void setPhase(SkOpPhase phase) { 167ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark if (SkOpPhase::kNoChange == phase) { 168ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark return; 169ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark } 17054359294a7c9dc54802d512a5d891a35c1663392caryclark SkASSERT(fPhase != phase); 17154359294a7c9dc54802d512a5d891a35c1663392caryclark fPhase = phase; 17254359294a7c9dc54802d512a5d891a35c1663392caryclark } 17354359294a7c9dc54802d512a5d891a35c1663392caryclark 17454359294a7c9dc54802d512a5d891a35c1663392caryclark // called in very rare cases where angles are sorted incorrectly -- signfies op will fail 17554359294a7c9dc54802d512a5d891a35c1663392caryclark void setWindingFailed() { 17654359294a7c9dc54802d512a5d891a35c1663392caryclark fWindingFailed = true; 17754359294a7c9dc54802d512a5d891a35c1663392caryclark } 17854359294a7c9dc54802d512a5d891a35c1663392caryclark 17954359294a7c9dc54802d512a5d891a35c1663392caryclark bool windingFailed() const { 18054359294a7c9dc54802d512a5d891a35c1663392caryclark return fWindingFailed; 18154359294a7c9dc54802d512a5d891a35c1663392caryclark } 18254359294a7c9dc54802d512a5d891a35c1663392caryclark 18354359294a7c9dc54802d512a5d891a35c1663392caryclarkprivate: 184c3cc5fa6de0a8237d9241dbf3e6c0786a9040069Herb Derby SkArenaAlloc* fAllocator; 18554359294a7c9dc54802d512a5d891a35c1663392caryclark SkOpCoincidence* fCoincidence; 186624637cc8ec22c000409704d0b403ac1b81ad4b0caryclark SkOpContourHead* fContourHead; 1874e1a4c9399b8bb0897218f3ec10c254d3bb97463caryclark int fNested; 18829b2563afb1677515739f1d24fb27733626eca92caryclark bool fAllocatedOpSpan; 18954359294a7c9dc54802d512a5d891a35c1663392caryclark bool fWindingFailed; 190ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkOpPhase fPhase; 19154359294a7c9dc54802d512a5d891a35c1663392caryclark#ifdef SK_DEBUG 192d4349723fac9c0fd4dcf8c275fb7c756bdfdff7bcaryclark const char* fDebugTestName; 193ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark void* fDebugReporter; 19454359294a7c9dc54802d512a5d891a35c1663392caryclark int fAngleID; 19526ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark int fCoinID; 19654359294a7c9dc54802d512a5d891a35c1663392caryclark int fContourID; 19754359294a7c9dc54802d512a5d891a35c1663392caryclark int fPtTID; 19854359294a7c9dc54802d512a5d891a35c1663392caryclark int fSegmentID; 19954359294a7c9dc54802d512a5d891a35c1663392caryclark int fSpanID; 200dae6b97705fde08958b1a36fa6ce685d28fc692ccaryclark bool fDebugSkipAssert; 20154359294a7c9dc54802d512a5d891a35c1663392caryclark#endif 20226ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#if DEBUG_T_SECT_LOOP_COUNT 20326ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark int fDebugLoopCount[3]; 20426ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark SkPath::Verb fDebugWorstVerb[6]; 20526ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark SkPoint fDebugWorstPts[24]; 20626ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark float fDebugWorstWeight[6]; 20726ad22ab61539e3d3b6bc5e0da8dcebbd52a53decaryclark#endif 208ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#if DEBUG_COIN 209ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkPathOpsDebug::CoinDict fCoinChangedDict; 210ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkPathOpsDebug::CoinDict fCoinVisitedDict; 211ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark SkPathOpsDebug::CoinDictEntry fCoinDictEntry; 212ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark const char* fPreviousFuncName; 213ab87d7abf1df007c90bef2e916294ca325d81c81Cary Clark#endif 21455888e44171ffd48b591d19256884a969fe4da17caryclark#if DEBUG_COINCIDENCE 21555888e44171ffd48b591d19256884a969fe4da17caryclark bool fDebugCheckHealth; 21655888e44171ffd48b591d19256884a969fe4da17caryclark#endif 21754359294a7c9dc54802d512a5d891a35c1663392caryclark}; 21854359294a7c9dc54802d512a5d891a35c1663392caryclark 219cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#ifdef SK_DEBUG 22030b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark#if DEBUG_COINCIDENCE 22130b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark#define SkOPASSERT(cond) SkASSERT((this->globalState() && \ 22230b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark (this->globalState()->debugCheckHealth() || \ 22330b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark this->globalState()->debugSkipAssert())) || (cond)) 22430b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark#else 225e25a4f6cbeaccfdc34cf031103f0fbc3e53a3ee5caryclark#define SkOPASSERT(cond) SkASSERT((this->globalState() && \ 22630b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark this->globalState()->debugSkipAssert()) || (cond)) 22730b9fdd6a1d607bde20c793af65b5e2e8a1737cacaryclark#endif 228a35ab3e6e024d0b548ded26a2e3b8ecd838ead93caryclark#define SkOPOBJASSERT(obj, cond) SkASSERT((obj->globalState() && \ 229a35ab3e6e024d0b548ded26a2e3b8ecd838ead93caryclark obj->globalState()->debugSkipAssert()) || (cond)) 230cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#else 231cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#define SkOPASSERT(cond) 232cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#define SkOPOBJASSERT(obj, cond) 233cdeff81bdb2e5cde422b6850634c5d3977fcbae9caryclark#endif 2341597628fa38d24f23ad505bfb40e70e7c8617457caryclark 235c3f63570c35a1e2bc84b33906c6401d6f3062bf2caryclark@google.com// Use Almost Equal when comparing coordinates. Use epsilon to compare T values. 2364fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.combool AlmostEqualUlps(float a, float b); 2374fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline bool AlmostEqualUlps(double a, double b) { 2384fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return AlmostEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 23907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 24007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 24155888e44171ffd48b591d19256884a969fe4da17caryclarkbool AlmostEqualUlpsNoNormalCheck(float a, float b); 24255888e44171ffd48b591d19256884a969fe4da17caryclarkinline bool AlmostEqualUlpsNoNormalCheck(double a, double b) { 24355888e44171ffd48b591d19256884a969fe4da17caryclark return AlmostEqualUlpsNoNormalCheck(SkDoubleToScalar(a), SkDoubleToScalar(b)); 24455888e44171ffd48b591d19256884a969fe4da17caryclark} 24555888e44171ffd48b591d19256884a969fe4da17caryclark 246b669300a9753893ef900207c38aeff2d467764e5caryclarkbool AlmostEqualUlps_Pin(float a, float b); 247b669300a9753893ef900207c38aeff2d467764e5caryclarkinline bool AlmostEqualUlps_Pin(double a, double b) { 248b669300a9753893ef900207c38aeff2d467764e5caryclark return AlmostEqualUlps_Pin(SkDoubleToScalar(a), SkDoubleToScalar(b)); 249b669300a9753893ef900207c38aeff2d467764e5caryclark} 250b669300a9753893ef900207c38aeff2d467764e5caryclark 2517eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com// Use Almost Dequal when comparing should not special case denormalized values. 2527eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.combool AlmostDequalUlps(float a, float b); 2532db7fe7d3b7ee875e1099a22f0af17520696f5d7commit-bot@chromium.orgbool AlmostDequalUlps(double a, double b); 2547eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com 255570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool NotAlmostEqualUlps(float a, float b); 256570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool NotAlmostEqualUlps(double a, double b) { 257570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return NotAlmostEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 258570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 259570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 260b669300a9753893ef900207c38aeff2d467764e5caryclarkbool NotAlmostEqualUlps_Pin(float a, float b); 261b669300a9753893ef900207c38aeff2d467764e5caryclarkinline bool NotAlmostEqualUlps_Pin(double a, double b) { 262b669300a9753893ef900207c38aeff2d467764e5caryclark return NotAlmostEqualUlps_Pin(SkDoubleToScalar(a), SkDoubleToScalar(b)); 263b669300a9753893ef900207c38aeff2d467764e5caryclark} 264b669300a9753893ef900207c38aeff2d467764e5caryclark 2657eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.combool NotAlmostDequalUlps(float a, float b); 2667eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.cominline bool NotAlmostDequalUlps(double a, double b) { 2677eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com return NotAlmostDequalUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 2687eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com} 2697eaa53d8f7e48fd17d02b5e3bd91f90e9c1899efcaryclark@google.com 270570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com// Use Almost Bequal when comparing coordinates in conjunction with between. 271570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool AlmostBequalUlps(float a, float b); 272570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool AlmostBequalUlps(double a, double b) { 273570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return AlmostBequalUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 274570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 275570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 276a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.combool AlmostPequalUlps(float a, float b); 277a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.cominline bool AlmostPequalUlps(double a, double b) { 278a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.com return AlmostPequalUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 279a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.com} 280a2bbc6e19d5332e81784e582c290cc060f40c4c7caryclark@google.com 2814fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.combool RoughlyEqualUlps(float a, float b); 2824fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline bool RoughlyEqualUlps(double a, double b) { 2834fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return RoughlyEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 28407e97fccd2d85076cd22ef411b0773ab92a18abecaryclark@google.com} 28507e97fccd2d85076cd22ef411b0773ab92a18abecaryclark@google.com 286570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool AlmostLessUlps(float a, float b); 287570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool AlmostLessUlps(double a, double b) { 288570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return AlmostLessUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 289570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 290570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 291570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.combool AlmostLessOrEqualUlps(float a, float b); 292570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.cominline bool AlmostLessOrEqualUlps(double a, double b) { 293570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com return AlmostLessOrEqualUlps(SkDoubleToScalar(a), SkDoubleToScalar(b)); 294570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com} 295570863f2e22b8ea7d7c504bd15e4f766af097df2caryclark@google.com 296fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.combool AlmostBetweenUlps(float a, float b, float c); 2974fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline bool AlmostBetweenUlps(double a, double b, double c) { 2984fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return AlmostBetweenUlps(SkDoubleToScalar(a), SkDoubleToScalar(b), SkDoubleToScalar(c)); 2994fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com} 3004fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com 3014fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.comint UlpsDistance(float a, float b); 3024fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.cominline int UlpsDistance(double a, double b) { 3034fdbb229649caf74e5c1b55a1823926df903af34caryclark@google.com return UlpsDistance(SkDoubleToScalar(a), SkDoubleToScalar(b)); 304fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com} 305fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com 30607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// FLT_EPSILON == 1.19209290E-07 == 1 / (2 ^ 23) 30707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// DBL_EPSILON == 2.22045e-16 30807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_CUBED = FLT_EPSILON * FLT_EPSILON * FLT_EPSILON; 30907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_HALF = FLT_EPSILON / 2; 310cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.comconst double FLT_EPSILON_DOUBLE = FLT_EPSILON * 2; 3114431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orgconst double FLT_EPSILON_ORDERABLE_ERR = FLT_EPSILON * 16; 31207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_SQUARED = FLT_EPSILON * FLT_EPSILON; 313759ae5639b0dfe5a0d5491aa0e0b9855aa42ab73Bruce Dawson// Use a compile-time constant for FLT_EPSILON_SQRT to avoid initializers. 314759ae5639b0dfe5a0d5491aa0e0b9855aa42ab73Bruce Dawson// A 17 digit constant guarantees exact results. 315759ae5639b0dfe5a0d5491aa0e0b9855aa42ab73Bruce Dawsonconst double FLT_EPSILON_SQRT = 0.00034526697709225118; // sqrt(FLT_EPSILON); 31607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double FLT_EPSILON_INVERSE = 1 / FLT_EPSILON; 31707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double DBL_EPSILON_ERR = DBL_EPSILON * 4; // FIXME: tune -- allow a few bits of error 318cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.comconst double DBL_EPSILON_SUBDIVIDE_ERR = DBL_EPSILON * 16; 31907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double ROUGH_EPSILON = FLT_EPSILON * 64; 32007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comconst double MORE_ROUGH_EPSILON = FLT_EPSILON * 256; 321dac1d17027dcaa5596885a9f333979418b35001ccaryclarkconst double WAY_ROUGH_EPSILON = FLT_EPSILON * 2048; 32254359294a7c9dc54802d512a5d891a35c1663392caryclarkconst double BUMP_EPSILON = FLT_EPSILON * 4096; 323dac1d17027dcaa5596885a9f333979418b35001ccaryclark 32455888e44171ffd48b591d19256884a969fe4da17caryclarkconst SkScalar INVERSE_NUMBER_RANGE = FLT_EPSILON_ORDERABLE_ERR; 32555888e44171ffd48b591d19256884a969fe4da17caryclark 326dac1d17027dcaa5596885a9f333979418b35001ccaryclarkinline bool zero_or_one(double x) { 327dac1d17027dcaa5596885a9f333979418b35001ccaryclark return x == 0 || x == 1; 328dac1d17027dcaa5596885a9f333979418b35001ccaryclark} 32907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 33007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero(double x) { 33107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON; 33207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 33307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 33407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_zero(double x) { 33507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < DBL_EPSILON_ERR; 33607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 33707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 338cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool precisely_subdivide_zero(double x) { 339cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return fabs(x) < DBL_EPSILON_SUBDIVIDE_ERR; 340cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 341cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 34207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero(float x) { 34307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON; 34407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 34507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 34607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_cubed(double x) { 34707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_CUBED; 34807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 34907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 35007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_half(double x) { 35107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_HALF; 35207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 35307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 354cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool approximately_zero_double(double x) { 355cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return fabs(x) < FLT_EPSILON_DOUBLE; 356cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 357cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 3584431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_zero_orderable(double x) { 3594431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return fabs(x) < FLT_EPSILON_ORDERABLE_ERR; 3604431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 3614431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 36207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_squared(double x) { 36307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_SQUARED; 36407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 36507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 36607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_sqrt(double x) { 36707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) < FLT_EPSILON_SQRT; 36807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 36907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 370cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool roughly_zero(double x) { 371cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return fabs(x) < ROUGH_EPSILON; 372cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 373cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 37407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_inverse(double x) { 37507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x) > FLT_EPSILON_INVERSE; 37607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 37707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 37807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_when_compared_to(double x, double y) { 3794431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x == 0 || fabs(x) < fabs(y * FLT_EPSILON); 38007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 38107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 38254359294a7c9dc54802d512a5d891a35c1663392caryclarkinline bool precisely_zero_when_compared_to(double x, double y) { 38354359294a7c9dc54802d512a5d891a35c1663392caryclark return x == 0 || fabs(x) < fabs(y * DBL_EPSILON); 38454359294a7c9dc54802d512a5d891a35c1663392caryclark} 38554359294a7c9dc54802d512a5d891a35c1663392caryclark 38655888e44171ffd48b591d19256884a969fe4da17caryclarkinline bool roughly_zero_when_compared_to(double x, double y) { 38755888e44171ffd48b591d19256884a969fe4da17caryclark return x == 0 || fabs(x) < fabs(y * ROUGH_EPSILON); 38855888e44171ffd48b591d19256884a969fe4da17caryclark} 38955888e44171ffd48b591d19256884a969fe4da17caryclark 39007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// Use this for comparing Ts in the range of 0 to 1. For general numbers (larger and smaller) use 39107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// AlmostEqualUlps instead. 39207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_equal(double x, double y) { 39307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return approximately_zero(x - y); 39407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 39507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 39607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_equal(double x, double y) { 39707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return precisely_zero(x - y); 39807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 39907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 400cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool precisely_subdivide_equal(double x, double y) { 401cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return precisely_subdivide_zero(x - y); 402cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 403cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 40407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_equal_half(double x, double y) { 40507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return approximately_zero_half(x - y); 40607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 40707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 408cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.cominline bool approximately_equal_double(double x, double y) { 409cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com return approximately_zero_double(x - y); 410cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com} 411cffbcc3b9665f2c928544b6fc6b8a0e22a4210fbcaryclark@google.com 4124431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_equal_orderable(double x, double y) { 4134431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return approximately_zero_orderable(x - y); 4144431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4154431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 41607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_equal_squared(double x, double y) { 41707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return approximately_equal(x, y); 41807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 41907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 42007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_greater(double x, double y) { 42107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x - FLT_EPSILON >= y; 42207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 42307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4244431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_double(double x, double y) { 4254431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_DOUBLE >= y; 4264431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4274431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4284431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_orderable(double x, double y) { 4294431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_ORDERABLE_ERR >= y; 4304431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4314431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 43207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_greater_or_equal(double x, double y) { 43307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x + FLT_EPSILON > y; 43407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 43507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4364431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_or_equal_double(double x, double y) { 4374431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_DOUBLE > y; 4384431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4394431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4404431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_greater_or_equal_orderable(double x, double y) { 4414431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_ORDERABLE_ERR > y; 4424431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4434431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 44407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_lesser(double x, double y) { 44507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x + FLT_EPSILON <= y; 44607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 44707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4484431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_double(double x, double y) { 4494431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_DOUBLE <= y; 4504431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4514431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4524431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_orderable(double x, double y) { 4534431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x + FLT_EPSILON_ORDERABLE_ERR <= y; 4544431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4554431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 45607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_lesser_or_equal(double x, double y) { 45707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x - FLT_EPSILON < y; 45807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 45907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4604431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_or_equal_double(double x, double y) { 4614431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_DOUBLE < y; 4624431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4634431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 4644431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_lesser_or_equal_orderable(double x, double y) { 4654431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x - FLT_EPSILON_ORDERABLE_ERR < y; 4664431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4674431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 46807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_greater_than_one(double x) { 46907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > 1 - FLT_EPSILON; 47007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 47107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 47207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_greater_than_one(double x) { 47307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > 1 - DBL_EPSILON_ERR; 47407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 47507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 47607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_less_than_zero(double x) { 47707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < FLT_EPSILON; 47807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 47907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 48007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_less_than_zero(double x) { 48107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < DBL_EPSILON_ERR; 48207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 48307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 48407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_negative(double x) { 48507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < FLT_EPSILON; 48607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 48707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 4884431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_negative_orderable(double x) { 4894431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x < FLT_EPSILON_ORDERABLE_ERR; 4904431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 4914431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 49207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool precisely_negative(double x) { 49307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < DBL_EPSILON_ERR; 49407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 49507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 49607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_one_or_less(double x) { 49707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x < 1 + FLT_EPSILON; 49807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 49907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 5004431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_one_or_less_double(double x) { 5014431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x < 1 + FLT_EPSILON_DOUBLE; 5024431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 5034431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 50407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_positive(double x) { 50507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > -FLT_EPSILON; 50607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 50707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 50807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_positive_squared(double x) { 50907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > -(FLT_EPSILON_SQUARED); 51007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 51107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 51207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_zero_or_more(double x) { 51307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return x > -FLT_EPSILON; 51407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 51507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 5164431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_zero_or_more_double(double x) { 5174431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return x > -FLT_EPSILON_DOUBLE; 5184431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 5194431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 5204431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.orginline bool approximately_between_orderable(double a, double b, double c) { 5214431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org return a <= c 5224431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org ? approximately_negative_orderable(a - b) && approximately_negative_orderable(b - c) 5234431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org : approximately_negative_orderable(b - a) && approximately_negative_orderable(c - b); 5244431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org} 5254431e7757cfcb8cfa99535eed0e9f156dabf95c2commit-bot@chromium.org 52607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool approximately_between(double a, double b, double c) { 52707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return a <= c ? approximately_negative(a - b) && approximately_negative(b - c) 52807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com : approximately_negative(b - a) && approximately_negative(c - b); 52907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 5300361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com 5310361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.cominline bool precisely_between(double a, double b, double c) { 5320361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com return a <= c ? precisely_negative(a - b) && precisely_negative(b - c) 5330361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com : precisely_negative(b - a) && precisely_negative(c - b); 5340361032c0b53401030a720bc8b4930c3ec59f19ecaryclark@google.com} 53507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 53607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com// returns true if (a <= b <= c) || (a >= b >= c) 53707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool between(double a, double b, double c) { 53854359294a7c9dc54802d512a5d891a35c1663392caryclark SkASSERT(((a <= b && b <= c) || (a >= b && b >= c)) == ((a - b) * (c - b) <= 0) 53954359294a7c9dc54802d512a5d891a35c1663392caryclark || (precisely_zero(a) && precisely_zero(b) && precisely_zero(c))); 54007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return (a - b) * (c - b) <= 0; 54107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 54207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 543dac1d17027dcaa5596885a9f333979418b35001ccaryclarkinline bool roughly_equal(double x, double y) { 544dac1d17027dcaa5596885a9f333979418b35001ccaryclark return fabs(x - y) < ROUGH_EPSILON; 545dac1d17027dcaa5596885a9f333979418b35001ccaryclark} 546dac1d17027dcaa5596885a9f333979418b35001ccaryclark 54754359294a7c9dc54802d512a5d891a35c1663392caryclarkinline bool roughly_negative(double x) { 54854359294a7c9dc54802d512a5d891a35c1663392caryclark return x < ROUGH_EPSILON; 54954359294a7c9dc54802d512a5d891a35c1663392caryclark} 55054359294a7c9dc54802d512a5d891a35c1663392caryclark 55154359294a7c9dc54802d512a5d891a35c1663392caryclarkinline bool roughly_between(double a, double b, double c) { 55254359294a7c9dc54802d512a5d891a35c1663392caryclark return a <= c ? roughly_negative(a - b) && roughly_negative(b - c) 55354359294a7c9dc54802d512a5d891a35c1663392caryclark : roughly_negative(b - a) && roughly_negative(c - b); 55454359294a7c9dc54802d512a5d891a35c1663392caryclark} 55554359294a7c9dc54802d512a5d891a35c1663392caryclark 55607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline bool more_roughly_equal(double x, double y) { 55707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return fabs(x - y) < MORE_ROUGH_EPSILON; 55807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 55907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 56007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDPoint; 56107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDVector; 56207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDLine; 56307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDQuad; 5641049f1246e7be4ccb68001361efceb8933e6f81ccaryclarkstruct SkDConic; 56507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDCubic; 56607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comstruct SkDRect; 56707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 568277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.cominline SkPath::Verb SkPathOpsPointsToVerb(int points) { 569277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com int verb = (1 << points) >> 1; 570277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#ifdef SK_DEBUG 571277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com switch (points) { 572277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 0: SkASSERT(SkPath::kMove_Verb == verb); break; 573277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 1: SkASSERT(SkPath::kLine_Verb == verb); break; 574277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 2: SkASSERT(SkPath::kQuad_Verb == verb); break; 575277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case 3: SkASSERT(SkPath::kCubic_Verb == verb); break; 576330313a8a8343876ee596da39da06a5d69badd9cmtklein@google.com default: SkDEBUGFAIL("should not be here"); 577277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com } 578277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#endif 579277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com return (SkPath::Verb)verb; 580277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com} 581277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com 582277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.cominline int SkPathOpsVerbToPoints(SkPath::Verb verb) { 5831049f1246e7be4ccb68001361efceb8933e6f81ccaryclark int points = (int) verb - (((int) verb + 1) >> 2); 584277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#ifdef SK_DEBUG 585277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com switch (verb) { 586277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case SkPath::kLine_Verb: SkASSERT(1 == points); break; 587277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case SkPath::kQuad_Verb: SkASSERT(2 == points); break; 5881049f1246e7be4ccb68001361efceb8933e6f81ccaryclark case SkPath::kConic_Verb: SkASSERT(2 == points); break; 589277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com case SkPath::kCubic_Verb: SkASSERT(3 == points); break; 590330313a8a8343876ee596da39da06a5d69badd9cmtklein@google.com default: SkDEBUGFAIL("should not get here"); 591277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com } 592277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com#endif 593277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com return points; 594277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com} 595277c3f87656c44e0a651ed0dd56efa16c0ab07b4reed@google.com 59607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline double SkDInterp(double A, double B, double t) { 59707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return A + (B - A) * t; 59807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 59907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 60007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.comdouble SkDCubeRoot(double x); 60107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 60207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* Returns -1 if negative, 0 if zero, 1 if positive 60307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com*/ 60407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline int SkDSign(double x) { 60507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return (x > 0) - (x < 0); 60607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 60707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 60807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* Returns 0 if negative, 1 if zero, 2 if positive 60907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com*/ 61007393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline int SKDSide(double x) { 61107393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return (x > 0) + (x >= 0); 61207393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 61307393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 61407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com/* Returns 1 if negative, 2 if zero, 4 if positive 61507393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com*/ 61607393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.cominline int SkDSideBit(double x) { 61707393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com return 1 << SKDSide(x); 61807393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com} 61907393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com 620fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.cominline double SkPinT(double t) { 621fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com return precisely_less_than_zero(t) ? 0 : precisely_greater_than_one(t) ? 1 : t; 622fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com} 623fa2aeee27af27f2934ee52a9732148f66481fb03caryclark@google.com 62407393cab57ce74a4aae89a31fae9aaa9780fc19dcaryclark@google.com#endif 625