| 1 | /* | 
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| 2 | * Copyright 2015 Google Inc. | 
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| 3 | * | 
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| 4 | * Use of this source code is governed by a BSD-style license that can be | 
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| 5 | * found in the LICENSE file. | 
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| 6 | */ | 
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| 7 |  | 
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| 8 | #include "include/core/SkPathBuilder.h" | 
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| 9 | #include "include/core/SkRRect.h" | 
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| 10 | #include "include/private/SkPathRef.h" | 
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| 11 | #include "include/private/SkSafe32.h" | 
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| 12 | #include "src/core/SkGeometry.h" | 
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| 13 | // need SkDVector | 
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| 14 | #include "src/pathops/SkPathOpsPoint.h" | 
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| 15 |  | 
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| 16 | SkPathBuilder::SkPathBuilder() { | 
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| 17 | this->reset(); | 
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| 18 | } | 
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| 19 |  | 
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| 20 | SkPathBuilder::~SkPathBuilder() { | 
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| 21 | } | 
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| 22 |  | 
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| 23 | SkPathBuilder& SkPathBuilder::reset() { | 
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| 24 | fPts.reset(); | 
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| 25 | fVerbs.reset(); | 
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| 26 | fConicWeights.reset(); | 
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| 27 | fFillType = SkPathFillType::kWinding; | 
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| 28 | fIsVolatile = false; | 
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| 29 |  | 
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| 30 | // these are internal state | 
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| 31 |  | 
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| 32 | fSegmentMask = 0; | 
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| 33 | fLastMovePoint = {0, 0}; | 
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| 34 | fNeedsMoveVerb = true; | 
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| 35 |  | 
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| 36 | return *this; | 
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| 37 | } | 
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| 38 |  | 
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| 39 | void SkPathBuilder::incReserve(int , int ) { | 
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| 40 | fPts.setReserve(  Sk32_sat_add(fPts.count(),   extraPtCount)); | 
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| 41 | fVerbs.setReserve(Sk32_sat_add(fVerbs.count(), extraVbCount)); | 
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| 42 | } | 
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| 43 |  | 
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| 44 | /* | 
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| 45 | *  Some old behavior in SkPath -- should we keep it? | 
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| 46 | * | 
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| 47 | *  After each edit (i.e. adding a verb) | 
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| 48 | this->setConvexityType(SkPathConvexityType::kUnknown); | 
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| 49 | this->setFirstDirection(SkPathPriv::kUnknown_FirstDirection); | 
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| 50 | */ | 
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| 51 |  | 
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| 52 | SkPathBuilder& SkPathBuilder::moveTo(SkPoint pt) { | 
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| 53 | fPts.push_back(pt); | 
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| 54 | fVerbs.push_back((uint8_t)SkPathVerb::kMove); | 
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| 55 |  | 
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| 56 | fLastMovePoint = pt; | 
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| 57 | fNeedsMoveVerb = false; | 
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| 58 | return *this; | 
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| 59 | } | 
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| 60 |  | 
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| 61 | SkPathBuilder& SkPathBuilder::lineTo(SkPoint pt) { | 
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| 62 | this->ensureMove(); | 
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| 63 |  | 
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| 64 | fPts.push_back(pt); | 
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| 65 | fVerbs.push_back((uint8_t)SkPathVerb::kLine); | 
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| 66 |  | 
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| 67 | fSegmentMask |= kLine_SkPathSegmentMask; | 
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| 68 | return *this; | 
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| 69 | } | 
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| 70 |  | 
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| 71 | SkPathBuilder& SkPathBuilder::quadTo(SkPoint pt1, SkPoint pt2) { | 
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| 72 | this->ensureMove(); | 
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| 73 |  | 
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| 74 | SkPoint* p = fPts.append(2); | 
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| 75 | p[0] = pt1; | 
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| 76 | p[1] = pt2; | 
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| 77 | fVerbs.push_back((uint8_t)SkPathVerb::kQuad); | 
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| 78 |  | 
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| 79 | fSegmentMask |= kQuad_SkPathSegmentMask; | 
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| 80 | return *this; | 
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| 81 | } | 
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| 82 |  | 
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| 83 | SkPathBuilder& SkPathBuilder::conicTo(SkPoint pt1, SkPoint pt2, SkScalar w) { | 
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| 84 | this->ensureMove(); | 
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| 85 |  | 
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| 86 | SkPoint* p = fPts.append(2); | 
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| 87 | p[0] = pt1; | 
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| 88 | p[1] = pt2; | 
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| 89 | fVerbs.push_back((uint8_t)SkPathVerb::kConic); | 
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| 90 | fConicWeights.push_back(w); | 
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| 91 |  | 
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| 92 | fSegmentMask |= kConic_SkPathSegmentMask; | 
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| 93 | return *this; | 
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| 94 | } | 
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| 95 |  | 
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| 96 | SkPathBuilder& SkPathBuilder::cubicTo(SkPoint pt1, SkPoint pt2, SkPoint pt3) { | 
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| 97 | this->ensureMove(); | 
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| 98 |  | 
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| 99 | SkPoint* p = fPts.append(3); | 
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| 100 | p[0] = pt1; | 
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| 101 | p[1] = pt2; | 
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| 102 | p[2] = pt3; | 
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| 103 | fVerbs.push_back((uint8_t)SkPathVerb::kCubic); | 
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| 104 |  | 
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| 105 | fSegmentMask |= kCubic_SkPathSegmentMask; | 
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| 106 | return *this; | 
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| 107 | } | 
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| 108 |  | 
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| 109 | SkPathBuilder& SkPathBuilder::close() { | 
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| 110 | this->ensureMove(); | 
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| 111 |  | 
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| 112 | fVerbs.push_back((uint8_t)SkPathVerb::kClose); | 
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| 113 |  | 
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| 114 | // fLastMovePoint stays where it is -- the previous moveTo | 
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| 115 | fNeedsMoveVerb = true; | 
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| 116 | return *this; | 
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| 117 | } | 
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| 118 |  | 
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| 119 | /////////////////////////////////////////////////////////////////////////////////////////// | 
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| 120 |  | 
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| 121 | SkPathBuilder& SkPathBuilder::rLineTo(SkPoint p1) { | 
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| 122 | this->ensureMove(); | 
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| 123 | return this->lineTo(fPts.back() + p1); | 
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| 124 | } | 
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| 125 |  | 
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| 126 | SkPathBuilder& SkPathBuilder::rQuadTo(SkPoint p1, SkPoint p2) { | 
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| 127 | this->ensureMove(); | 
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| 128 | SkPoint base = fPts.back(); | 
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| 129 | return this->quadTo(base + p1, base + p2); | 
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| 130 | } | 
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| 131 |  | 
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| 132 | SkPathBuilder& SkPathBuilder::rConicTo(SkPoint p1, SkPoint p2, SkScalar w) { | 
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| 133 | this->ensureMove(); | 
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| 134 | SkPoint base = fPts.back(); | 
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| 135 | return this->conicTo(base + p1, base + p2, w); | 
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| 136 | } | 
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| 137 |  | 
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| 138 | SkPathBuilder& SkPathBuilder::rCubicTo(SkPoint p1, SkPoint p2, SkPoint p3) { | 
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| 139 | this->ensureMove(); | 
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| 140 | SkPoint base = fPts.back(); | 
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| 141 | return this->cubicTo(base + p1, base + p2, base + p3); | 
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| 142 | } | 
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| 143 |  | 
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| 144 | /////////////////////////////////////////////////////////////////////////////////////////// | 
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| 145 |  | 
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| 146 | SkPath SkPathBuilder::make(sk_sp<SkPathRef> pr) const { | 
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| 147 | switch (fIsA) { | 
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| 148 | case kIsA_Oval:  pr->setIsOval( true, fIsACCW, fIsAStart); break; | 
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| 149 | case kIsA_RRect: pr->setIsRRect(true, fIsACCW, fIsAStart); break; | 
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| 150 | default: break; | 
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| 151 | } | 
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| 152 | return SkPath(std::move(pr), fFillType, fIsVolatile); | 
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| 153 | } | 
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| 154 |  | 
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| 155 | SkPath SkPathBuilder::snapshot() { | 
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| 156 | return this->make(sk_sp<SkPathRef>(new SkPathRef(fPts, | 
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| 157 | fVerbs, | 
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| 158 | fConicWeights, | 
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| 159 | fSegmentMask))); | 
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| 160 | } | 
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| 161 |  | 
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| 162 | SkPath SkPathBuilder::detach() { | 
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| 163 | auto path = this->make(sk_sp<SkPathRef>(new SkPathRef(std::move(fPts), | 
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| 164 | std::move(fVerbs), | 
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| 165 | std::move(fConicWeights), | 
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| 166 | fSegmentMask))); | 
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| 167 | this->reset(); | 
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| 168 | return path; | 
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| 169 | } | 
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| 170 |  | 
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| 171 | /////////////////////////////////////////////////////////////////////////////////////////////////// | 
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| 172 |  | 
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| 173 | static bool arc_is_lone_point(const SkRect& oval, SkScalar startAngle, SkScalar sweepAngle, | 
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| 174 | SkPoint* pt) { | 
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| 175 | if (0 == sweepAngle && (0 == startAngle || SkIntToScalar(360) == startAngle)) { | 
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| 176 | // Chrome uses this path to move into and out of ovals. If not | 
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| 177 | // treated as a special case the moves can distort the oval's | 
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| 178 | // bounding box (and break the circle special case). | 
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| 179 | pt->set(oval.fRight, oval.centerY()); | 
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| 180 | return true; | 
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| 181 | } else if (0 == oval.width() && 0 == oval.height()) { | 
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| 182 | // Chrome will sometimes create 0 radius round rects. Having degenerate | 
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| 183 | // quad segments in the path prevents the path from being recognized as | 
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| 184 | // a rect. | 
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| 185 | // TODO: optimizing the case where only one of width or height is zero | 
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| 186 | // should also be considered. This case, however, doesn't seem to be | 
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| 187 | // as common as the single point case. | 
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| 188 | pt->set(oval.fRight, oval.fTop); | 
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| 189 | return true; | 
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| 190 | } | 
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| 191 | return false; | 
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| 192 | } | 
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| 193 |  | 
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| 194 | // Return the unit vectors pointing at the start/stop points for the given start/sweep angles | 
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| 195 | // | 
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| 196 | static void angles_to_unit_vectors(SkScalar startAngle, SkScalar sweepAngle, | 
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| 197 | SkVector* startV, SkVector* stopV, SkRotationDirection* dir) { | 
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| 198 | SkScalar startRad = SkDegreesToRadians(startAngle), | 
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| 199 | stopRad  = SkDegreesToRadians(startAngle + sweepAngle); | 
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| 200 |  | 
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| 201 | startV->fY = SkScalarSinSnapToZero(startRad); | 
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| 202 | startV->fX = SkScalarCosSnapToZero(startRad); | 
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| 203 | stopV->fY = SkScalarSinSnapToZero(stopRad); | 
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| 204 | stopV->fX = SkScalarCosSnapToZero(stopRad); | 
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| 205 |  | 
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| 206 | /*  If the sweep angle is nearly (but less than) 360, then due to precision | 
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| 207 | loss in radians-conversion and/or sin/cos, we may end up with coincident | 
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| 208 | vectors, which will fool SkBuildQuadArc into doing nothing (bad) instead | 
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| 209 | of drawing a nearly complete circle (good). | 
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| 210 | e.g. canvas.drawArc(0, 359.99, ...) | 
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| 211 | -vs- canvas.drawArc(0, 359.9, ...) | 
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| 212 | We try to detect this edge case, and tweak the stop vector | 
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| 213 | */ | 
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| 214 | if (*startV == *stopV) { | 
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| 215 | SkScalar sw = SkScalarAbs(sweepAngle); | 
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| 216 | if (sw < SkIntToScalar(360) && sw > SkIntToScalar(359)) { | 
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| 217 | // make a guess at a tiny angle (in radians) to tweak by | 
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| 218 | SkScalar deltaRad = SkScalarCopySign(SK_Scalar1/512, sweepAngle); | 
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| 219 | // not sure how much will be enough, so we use a loop | 
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| 220 | do { | 
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| 221 | stopRad -= deltaRad; | 
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| 222 | stopV->fY = SkScalarSinSnapToZero(stopRad); | 
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| 223 | stopV->fX = SkScalarCosSnapToZero(stopRad); | 
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| 224 | } while (*startV == *stopV); | 
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| 225 | } | 
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| 226 | } | 
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| 227 | *dir = sweepAngle > 0 ? kCW_SkRotationDirection : kCCW_SkRotationDirection; | 
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| 228 | } | 
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| 229 |  | 
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| 230 | /** | 
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| 231 | *  If this returns 0, then the caller should just line-to the singlePt, else it should | 
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| 232 | *  ignore singlePt and append the specified number of conics. | 
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| 233 | */ | 
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| 234 | static int build_arc_conics(const SkRect& oval, const SkVector& start, const SkVector& stop, | 
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| 235 | SkRotationDirection dir, SkConic conics[SkConic::kMaxConicsForArc], | 
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| 236 | SkPoint* singlePt) { | 
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| 237 | SkMatrix    matrix; | 
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| 238 |  | 
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| 239 | matrix.setScale(SkScalarHalf(oval.width()), SkScalarHalf(oval.height())); | 
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| 240 | matrix.postTranslate(oval.centerX(), oval.centerY()); | 
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| 241 |  | 
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| 242 | int count = SkConic::BuildUnitArc(start, stop, dir, &matrix, conics); | 
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| 243 | if (0 == count) { | 
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| 244 | matrix.mapXY(stop.x(), stop.y(), singlePt); | 
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| 245 | } | 
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| 246 | return count; | 
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| 247 | } | 
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| 248 |  | 
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| 249 | static bool nearly_equal(const SkPoint& a, const SkPoint& b) { | 
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| 250 | return SkScalarNearlyEqual(a.fX, b.fX) | 
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| 251 | && SkScalarNearlyEqual(a.fY, b.fY); | 
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| 252 | } | 
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| 253 |  | 
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| 254 | SkPathBuilder& SkPathBuilder::arcTo(const SkRect& oval, SkScalar startAngle, SkScalar sweepAngle, | 
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| 255 | bool forceMoveTo) { | 
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| 256 | if (oval.width() < 0 || oval.height() < 0) { | 
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| 257 | return *this; | 
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| 258 | } | 
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| 259 |  | 
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| 260 | if (fVerbs.count() == 0) { | 
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| 261 | forceMoveTo = true; | 
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| 262 | } | 
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| 263 |  | 
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| 264 | SkPoint lonePt; | 
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| 265 | if (arc_is_lone_point(oval, startAngle, sweepAngle, &lonePt)) { | 
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| 266 | return forceMoveTo ? this->moveTo(lonePt) : this->lineTo(lonePt); | 
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| 267 | } | 
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| 268 |  | 
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| 269 | SkVector startV, stopV; | 
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| 270 | SkRotationDirection dir; | 
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| 271 | angles_to_unit_vectors(startAngle, sweepAngle, &startV, &stopV, &dir); | 
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| 272 |  | 
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| 273 | SkPoint singlePt; | 
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| 274 |  | 
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| 275 | // Adds a move-to to 'pt' if forceMoveTo is true. Otherwise a lineTo unless we're sufficiently | 
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| 276 | // close to 'pt' currently. This prevents spurious lineTos when adding a series of contiguous | 
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| 277 | // arcs from the same oval. | 
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| 278 | auto addPt = [forceMoveTo, this](const SkPoint& pt) { | 
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| 279 | if (forceMoveTo) { | 
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| 280 | this->moveTo(pt); | 
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| 281 | } else if (!nearly_equal(fPts.back(), pt)) { | 
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| 282 | this->lineTo(pt); | 
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| 283 | } | 
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| 284 | }; | 
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| 285 |  | 
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| 286 | // At this point, we know that the arc is not a lone point, but startV == stopV | 
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| 287 | // indicates that the sweepAngle is too small such that angles_to_unit_vectors | 
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| 288 | // cannot handle it. | 
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| 289 | if (startV == stopV) { | 
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| 290 | SkScalar endAngle = SkDegreesToRadians(startAngle + sweepAngle); | 
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| 291 | SkScalar radiusX = oval.width() / 2; | 
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| 292 | SkScalar radiusY = oval.height() / 2; | 
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| 293 | // We do not use SkScalar[Sin|Cos]SnapToZero here. When sin(startAngle) is 0 and sweepAngle | 
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| 294 | // is very small and radius is huge, the expected behavior here is to draw a line. But | 
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| 295 | // calling SkScalarSinSnapToZero will make sin(endAngle) be 0 which will then draw a dot. | 
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| 296 | singlePt.set(oval.centerX() + radiusX * SkScalarCos(endAngle), | 
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| 297 | oval.centerY() + radiusY * SkScalarSin(endAngle)); | 
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| 298 | addPt(singlePt); | 
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| 299 | return *this; | 
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| 300 | } | 
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| 301 |  | 
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| 302 | SkConic conics[SkConic::kMaxConicsForArc]; | 
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| 303 | int count = build_arc_conics(oval, startV, stopV, dir, conics, &singlePt); | 
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| 304 | if (count) { | 
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| 305 | this->incReserve(count * 2 + 1); | 
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| 306 | const SkPoint& pt = conics[0].fPts[0]; | 
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| 307 | addPt(pt); | 
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| 308 | for (int i = 0; i < count; ++i) { | 
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| 309 | this->conicTo(conics[i].fPts[1], conics[i].fPts[2], conics[i].fW); | 
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| 310 | } | 
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| 311 | } else { | 
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| 312 | addPt(singlePt); | 
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| 313 | } | 
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| 314 | return *this; | 
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| 315 | } | 
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| 316 |  | 
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| 317 | SkPathBuilder& SkPathBuilder::addArc(const SkRect& oval, SkScalar startAngle, SkScalar sweepAngle) { | 
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| 318 | if (oval.isEmpty() || 0 == sweepAngle) { | 
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| 319 | return *this; | 
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| 320 | } | 
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| 321 |  | 
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| 322 | const SkScalar kFullCircleAngle = SkIntToScalar(360); | 
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| 323 |  | 
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| 324 | if (sweepAngle >= kFullCircleAngle || sweepAngle <= -kFullCircleAngle) { | 
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| 325 | // We can treat the arc as an oval if it begins at one of our legal starting positions. | 
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| 326 | // See SkPath::addOval() docs. | 
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| 327 | SkScalar startOver90 = startAngle / 90.f; | 
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| 328 | SkScalar startOver90I = SkScalarRoundToScalar(startOver90); | 
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| 329 | SkScalar error = startOver90 - startOver90I; | 
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| 330 | if (SkScalarNearlyEqual(error, 0)) { | 
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| 331 | // Index 1 is at startAngle == 0. | 
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| 332 | SkScalar startIndex = std::fmod(startOver90I + 1.f, 4.f); | 
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| 333 | startIndex = startIndex < 0 ? startIndex + 4.f : startIndex; | 
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| 334 | return this->addOval(oval, sweepAngle > 0 ? SkPathDirection::kCW : SkPathDirection::kCCW, | 
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| 335 | (unsigned) startIndex); | 
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| 336 | } | 
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| 337 | } | 
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| 338 | return this->arcTo(oval, startAngle, sweepAngle, true); | 
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| 339 | } | 
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| 340 |  | 
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| 341 | SkPathBuilder& SkPathBuilder::arcTo(SkPoint p1, SkPoint p2, SkScalar radius) { | 
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| 342 | this->ensureMove(); | 
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| 343 |  | 
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| 344 | if (radius == 0) { | 
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| 345 | return this->lineTo(p1); | 
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| 346 | } | 
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| 347 |  | 
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| 348 | // need to know our prev pt so we can construct tangent vectors | 
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| 349 | SkPoint start = fPts.back(); | 
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| 350 |  | 
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| 351 | // need double precision for these calcs. | 
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| 352 | SkDVector befored, afterd; | 
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| 353 | befored.set({p1.fX - start.fX, p1.fY - start.fY}).normalize(); | 
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| 354 | afterd.set({p2.fX - p1.fX, p2.fY - p1.fY}).normalize(); | 
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| 355 | double cosh = befored.dot(afterd); | 
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| 356 | double sinh = befored.cross(afterd); | 
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| 357 |  | 
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| 358 | if (!befored.isFinite() || !afterd.isFinite() || SkScalarNearlyZero(SkDoubleToScalar(sinh))) { | 
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| 359 | return this->lineTo(p1); | 
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| 360 | } | 
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| 361 |  | 
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| 362 | // safe to convert back to floats now | 
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| 363 | SkVector before = befored.asSkVector(); | 
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| 364 | SkVector after = afterd.asSkVector(); | 
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| 365 | SkScalar dist = SkScalarAbs(SkDoubleToScalar(radius * (1 - cosh) / sinh)); | 
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| 366 | SkScalar xx = p1.fX - dist * before.fX; | 
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| 367 | SkScalar yy = p1.fY - dist * before.fY; | 
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| 368 | after.setLength(dist); | 
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| 369 | this->lineTo(xx, yy); | 
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| 370 | SkScalar weight = SkScalarSqrt(SkDoubleToScalar(SK_ScalarHalf + cosh * 0.5)); | 
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| 371 | return this->conicTo(p1, p1 + after, weight); | 
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| 372 | } | 
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| 373 |  | 
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| 374 | // This converts the SVG arc to conics. | 
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| 375 | // Partly adapted from Niko's code in kdelibs/kdecore/svgicons. | 
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| 376 | // Then transcribed from webkit/chrome's SVGPathNormalizer::decomposeArcToCubic() | 
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| 377 | // See also SVG implementation notes: | 
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| 378 | // http://www.w3.org/TR/SVG/implnote.html#ArcConversionEndpointToCenter | 
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| 379 | // Note that arcSweep bool value is flipped from the original implementation. | 
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| 380 | SkPathBuilder& SkPathBuilder::arcTo(SkPoint rad, SkScalar angle, SkPathBuilder::ArcSize arcLarge, | 
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| 381 | SkPathDirection arcSweep, SkPoint endPt) { | 
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| 382 | this->ensureMove(); | 
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| 383 |  | 
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| 384 | SkPoint srcPts[2] = { fPts.back(), endPt }; | 
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| 385 |  | 
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| 386 | // If rx = 0 or ry = 0 then this arc is treated as a straight line segment (a "lineto") | 
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| 387 | // joining the endpoints. | 
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| 388 | // http://www.w3.org/TR/SVG/implnote.html#ArcOutOfRangeParameters | 
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| 389 | if (!rad.fX || !rad.fY) { | 
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| 390 | return this->lineTo(endPt); | 
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| 391 | } | 
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| 392 | // If the current point and target point for the arc are identical, it should be treated as a | 
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| 393 | // zero length path. This ensures continuity in animations. | 
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| 394 | if (srcPts[0] == srcPts[1]) { | 
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| 395 | return this->lineTo(endPt); | 
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| 396 | } | 
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| 397 | SkScalar rx = SkScalarAbs(rad.fX); | 
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| 398 | SkScalar ry = SkScalarAbs(rad.fY); | 
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| 399 | SkVector midPointDistance = srcPts[0] - srcPts[1]; | 
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| 400 | midPointDistance *= 0.5f; | 
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| 401 |  | 
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| 402 | SkMatrix pointTransform; | 
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| 403 | pointTransform.setRotate(-angle); | 
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| 404 |  | 
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| 405 | SkPoint transformedMidPoint; | 
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| 406 | pointTransform.mapPoints(&transformedMidPoint, &midPointDistance, 1); | 
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| 407 | SkScalar squareRx = rx * rx; | 
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| 408 | SkScalar squareRy = ry * ry; | 
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| 409 | SkScalar squareX = transformedMidPoint.fX * transformedMidPoint.fX; | 
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| 410 | SkScalar squareY = transformedMidPoint.fY * transformedMidPoint.fY; | 
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| 411 |  | 
|---|
| 412 | // Check if the radii are big enough to draw the arc, scale radii if not. | 
|---|
| 413 | // http://www.w3.org/TR/SVG/implnote.html#ArcCorrectionOutOfRangeRadii | 
|---|
| 414 | SkScalar radiiScale = squareX / squareRx + squareY / squareRy; | 
|---|
| 415 | if (radiiScale > 1) { | 
|---|
| 416 | radiiScale = SkScalarSqrt(radiiScale); | 
|---|
| 417 | rx *= radiiScale; | 
|---|
| 418 | ry *= radiiScale; | 
|---|
| 419 | } | 
|---|
| 420 |  | 
|---|
| 421 | pointTransform.setScale(1 / rx, 1 / ry); | 
|---|
| 422 | pointTransform.preRotate(-angle); | 
|---|
| 423 |  | 
|---|
| 424 | SkPoint unitPts[2]; | 
|---|
| 425 | pointTransform.mapPoints(unitPts, srcPts, (int) SK_ARRAY_COUNT(unitPts)); | 
|---|
| 426 | SkVector delta = unitPts[1] - unitPts[0]; | 
|---|
| 427 |  | 
|---|
| 428 | SkScalar d = delta.fX * delta.fX + delta.fY * delta.fY; | 
|---|
| 429 | SkScalar scaleFactorSquared = std::max(1 / d - 0.25f, 0.f); | 
|---|
| 430 |  | 
|---|
| 431 | SkScalar scaleFactor = SkScalarSqrt(scaleFactorSquared); | 
|---|
| 432 | if ((arcSweep == SkPathDirection::kCCW) != SkToBool(arcLarge)) {  // flipped from the original implementation | 
|---|
| 433 | scaleFactor = -scaleFactor; | 
|---|
| 434 | } | 
|---|
| 435 | delta.scale(scaleFactor); | 
|---|
| 436 | SkPoint centerPoint = unitPts[0] + unitPts[1]; | 
|---|
| 437 | centerPoint *= 0.5f; | 
|---|
| 438 | centerPoint.offset(-delta.fY, delta.fX); | 
|---|
| 439 | unitPts[0] -= centerPoint; | 
|---|
| 440 | unitPts[1] -= centerPoint; | 
|---|
| 441 | SkScalar theta1 = SkScalarATan2(unitPts[0].fY, unitPts[0].fX); | 
|---|
| 442 | SkScalar theta2 = SkScalarATan2(unitPts[1].fY, unitPts[1].fX); | 
|---|
| 443 | SkScalar thetaArc = theta2 - theta1; | 
|---|
| 444 | if (thetaArc < 0 && (arcSweep == SkPathDirection::kCW)) {  // arcSweep flipped from the original implementation | 
|---|
| 445 | thetaArc += SK_ScalarPI * 2; | 
|---|
| 446 | } else if (thetaArc > 0 && (arcSweep != SkPathDirection::kCW)) {  // arcSweep flipped from the original implementation | 
|---|
| 447 | thetaArc -= SK_ScalarPI * 2; | 
|---|
| 448 | } | 
|---|
| 449 |  | 
|---|
| 450 | // Very tiny angles cause our subsequent math to go wonky (skbug.com/9272) | 
|---|
| 451 | // so we do a quick check here. The precise tolerance amount is just made up. | 
|---|
| 452 | // PI/million happens to fix the bug in 9272, but a larger value is probably | 
|---|
| 453 | // ok too. | 
|---|
| 454 | if (SkScalarAbs(thetaArc) < (SK_ScalarPI / (1000 * 1000))) { | 
|---|
| 455 | return this->lineTo(endPt); | 
|---|
| 456 | } | 
|---|
| 457 |  | 
|---|
| 458 | pointTransform.setRotate(angle); | 
|---|
| 459 | pointTransform.preScale(rx, ry); | 
|---|
| 460 |  | 
|---|
| 461 | // the arc may be slightly bigger than 1/4 circle, so allow up to 1/3rd | 
|---|
| 462 | int segments = SkScalarCeilToInt(SkScalarAbs(thetaArc / (2 * SK_ScalarPI / 3))); | 
|---|
| 463 | SkScalar thetaWidth = thetaArc / segments; | 
|---|
| 464 | SkScalar t = SkScalarTan(0.5f * thetaWidth); | 
|---|
| 465 | if (!SkScalarIsFinite(t)) { | 
|---|
| 466 | return *this; | 
|---|
| 467 | } | 
|---|
| 468 | SkScalar startTheta = theta1; | 
|---|
| 469 | SkScalar w = SkScalarSqrt(SK_ScalarHalf + SkScalarCos(thetaWidth) * SK_ScalarHalf); | 
|---|
| 470 | auto scalar_is_integer = [](SkScalar scalar) -> bool { | 
|---|
| 471 | return scalar == SkScalarFloorToScalar(scalar); | 
|---|
| 472 | }; | 
|---|
| 473 | bool expectIntegers = SkScalarNearlyZero(SK_ScalarPI/2 - SkScalarAbs(thetaWidth)) && | 
|---|
| 474 | scalar_is_integer(rx) && scalar_is_integer(ry) && | 
|---|
| 475 | scalar_is_integer(endPt.fX) && scalar_is_integer(endPt.fY); | 
|---|
| 476 |  | 
|---|
| 477 | for (int i = 0; i < segments; ++i) { | 
|---|
| 478 | SkScalar endTheta    = startTheta + thetaWidth, | 
|---|
| 479 | sinEndTheta = SkScalarSinSnapToZero(endTheta), | 
|---|
| 480 | cosEndTheta = SkScalarCosSnapToZero(endTheta); | 
|---|
| 481 |  | 
|---|
| 482 | unitPts[1].set(cosEndTheta, sinEndTheta); | 
|---|
| 483 | unitPts[1] += centerPoint; | 
|---|
| 484 | unitPts[0] = unitPts[1]; | 
|---|
| 485 | unitPts[0].offset(t * sinEndTheta, -t * cosEndTheta); | 
|---|
| 486 | SkPoint mapped[2]; | 
|---|
| 487 | pointTransform.mapPoints(mapped, unitPts, (int) SK_ARRAY_COUNT(unitPts)); | 
|---|
| 488 | /* | 
|---|
| 489 | Computing the arc width introduces rounding errors that cause arcs to start | 
|---|
| 490 | outside their marks. A round rect may lose convexity as a result. If the input | 
|---|
| 491 | values are on integers, place the conic on integers as well. | 
|---|
| 492 | */ | 
|---|
| 493 | if (expectIntegers) { | 
|---|
| 494 | for (SkPoint& point : mapped) { | 
|---|
| 495 | point.fX = SkScalarRoundToScalar(point.fX); | 
|---|
| 496 | point.fY = SkScalarRoundToScalar(point.fY); | 
|---|
| 497 | } | 
|---|
| 498 | } | 
|---|
| 499 | this->conicTo(mapped[0], mapped[1], w); | 
|---|
| 500 | startTheta = endTheta; | 
|---|
| 501 | } | 
|---|
| 502 |  | 
|---|
| 503 | #ifndef SK_LEGACY_PATH_ARCTO_ENDPOINT | 
|---|
| 504 | // The final point should match the input point (by definition); replace it to | 
|---|
| 505 | // ensure that rounding errors in the above math don't cause any problems. | 
|---|
| 506 | fPts.back() = endPt; | 
|---|
| 507 | #endif | 
|---|
| 508 | return *this; | 
|---|
| 509 | } | 
|---|
| 510 |  | 
|---|
| 511 | /////////////////////////////////////////////////////////////////////////////////////////// | 
|---|
| 512 |  | 
|---|
| 513 | namespace { | 
|---|
| 514 | template <unsigned N> class PointIterator { | 
|---|
| 515 | public: | 
|---|
| 516 | PointIterator(SkPathDirection dir, unsigned startIndex) | 
|---|
| 517 | : fCurrent(startIndex % N) | 
|---|
| 518 | , fAdvance(dir == SkPathDirection::kCW ? 1 : N - 1) | 
|---|
| 519 | {} | 
|---|
| 520 |  | 
|---|
| 521 | const SkPoint& current() const { | 
|---|
| 522 | SkASSERT(fCurrent < N); | 
|---|
| 523 | return fPts[fCurrent]; | 
|---|
| 524 | } | 
|---|
| 525 |  | 
|---|
| 526 | const SkPoint& next() { | 
|---|
| 527 | fCurrent = (fCurrent + fAdvance) % N; | 
|---|
| 528 | return this->current(); | 
|---|
| 529 | } | 
|---|
| 530 |  | 
|---|
| 531 | protected: | 
|---|
| 532 | SkPoint fPts[N]; | 
|---|
| 533 |  | 
|---|
| 534 | private: | 
|---|
| 535 | unsigned fCurrent; | 
|---|
| 536 | unsigned fAdvance; | 
|---|
| 537 | }; | 
|---|
| 538 |  | 
|---|
| 539 | class RectPointIterator : public PointIterator<4> { | 
|---|
| 540 | public: | 
|---|
| 541 | RectPointIterator(const SkRect& rect, SkPathDirection dir, unsigned startIndex) | 
|---|
| 542 | : PointIterator(dir, startIndex) { | 
|---|
| 543 |  | 
|---|
| 544 | fPts[0] = SkPoint::Make(rect.fLeft, rect.fTop); | 
|---|
| 545 | fPts[1] = SkPoint::Make(rect.fRight, rect.fTop); | 
|---|
| 546 | fPts[2] = SkPoint::Make(rect.fRight, rect.fBottom); | 
|---|
| 547 | fPts[3] = SkPoint::Make(rect.fLeft, rect.fBottom); | 
|---|
| 548 | } | 
|---|
| 549 | }; | 
|---|
| 550 |  | 
|---|
| 551 | class OvalPointIterator : public PointIterator<4> { | 
|---|
| 552 | public: | 
|---|
| 553 | OvalPointIterator(const SkRect& oval, SkPathDirection dir, unsigned startIndex) | 
|---|
| 554 | : PointIterator(dir, startIndex) { | 
|---|
| 555 |  | 
|---|
| 556 | const SkScalar cx = oval.centerX(); | 
|---|
| 557 | const SkScalar cy = oval.centerY(); | 
|---|
| 558 |  | 
|---|
| 559 | fPts[0] = SkPoint::Make(cx, oval.fTop); | 
|---|
| 560 | fPts[1] = SkPoint::Make(oval.fRight, cy); | 
|---|
| 561 | fPts[2] = SkPoint::Make(cx, oval.fBottom); | 
|---|
| 562 | fPts[3] = SkPoint::Make(oval.fLeft, cy); | 
|---|
| 563 | } | 
|---|
| 564 | }; | 
|---|
| 565 |  | 
|---|
| 566 | class RRectPointIterator : public PointIterator<8> { | 
|---|
| 567 | public: | 
|---|
| 568 | RRectPointIterator(const SkRRect& rrect, SkPathDirection dir, unsigned startIndex) | 
|---|
| 569 | : PointIterator(dir, startIndex) | 
|---|
| 570 | { | 
|---|
| 571 | const SkRect& bounds = rrect.getBounds(); | 
|---|
| 572 | const SkScalar L = bounds.fLeft; | 
|---|
| 573 | const SkScalar T = bounds.fTop; | 
|---|
| 574 | const SkScalar R = bounds.fRight; | 
|---|
| 575 | const SkScalar B = bounds.fBottom; | 
|---|
| 576 |  | 
|---|
| 577 | fPts[0] = SkPoint::Make(L + rrect.radii(SkRRect::kUpperLeft_Corner).fX, T); | 
|---|
| 578 | fPts[1] = SkPoint::Make(R - rrect.radii(SkRRect::kUpperRight_Corner).fX, T); | 
|---|
| 579 | fPts[2] = SkPoint::Make(R, T + rrect.radii(SkRRect::kUpperRight_Corner).fY); | 
|---|
| 580 | fPts[3] = SkPoint::Make(R, B - rrect.radii(SkRRect::kLowerRight_Corner).fY); | 
|---|
| 581 | fPts[4] = SkPoint::Make(R - rrect.radii(SkRRect::kLowerRight_Corner).fX, B); | 
|---|
| 582 | fPts[5] = SkPoint::Make(L + rrect.radii(SkRRect::kLowerLeft_Corner).fX, B); | 
|---|
| 583 | fPts[6] = SkPoint::Make(L, B - rrect.radii(SkRRect::kLowerLeft_Corner).fY); | 
|---|
| 584 | fPts[7] = SkPoint::Make(L, T + rrect.radii(SkRRect::kUpperLeft_Corner).fY); | 
|---|
| 585 | } | 
|---|
| 586 | }; | 
|---|
| 587 | } // anonymous namespace | 
|---|
| 588 |  | 
|---|
| 589 |  | 
|---|
| 590 | SkPathBuilder& SkPathBuilder::addRect(const SkRect& rect, SkPathDirection dir, unsigned index) { | 
|---|
| 591 | const int kPts   = 4;   // moveTo + 3 lines | 
|---|
| 592 | const int kVerbs = 5;   // moveTo + 3 lines + close | 
|---|
| 593 | this->incReserve(kPts, kVerbs); | 
|---|
| 594 |  | 
|---|
| 595 | RectPointIterator iter(rect, dir, index); | 
|---|
| 596 |  | 
|---|
| 597 | this->moveTo(iter.current()); | 
|---|
| 598 | this->lineTo(iter.next()); | 
|---|
| 599 | this->lineTo(iter.next()); | 
|---|
| 600 | this->lineTo(iter.next()); | 
|---|
| 601 | return this->close(); | 
|---|
| 602 | } | 
|---|
| 603 |  | 
|---|
| 604 | SkPathBuilder& SkPathBuilder::addOval(const SkRect& oval, SkPathDirection dir, unsigned index) { | 
|---|
| 605 | const IsA prevIsA = fIsA; | 
|---|
| 606 |  | 
|---|
| 607 | const int kPts   = 9;   // moveTo + 4 conics(2 pts each) | 
|---|
| 608 | const int kVerbs = 6;   // moveTo + 4 conics + close | 
|---|
| 609 | this->incReserve(kPts, kVerbs); | 
|---|
| 610 |  | 
|---|
| 611 | OvalPointIterator ovalIter(oval, dir, index); | 
|---|
| 612 | RectPointIterator rectIter(oval, dir, index + (dir == SkPathDirection::kCW ? 0 : 1)); | 
|---|
| 613 |  | 
|---|
| 614 | // The corner iterator pts are tracking "behind" the oval/radii pts. | 
|---|
| 615 |  | 
|---|
| 616 | this->moveTo(ovalIter.current()); | 
|---|
| 617 | for (unsigned i = 0; i < 4; ++i) { | 
|---|
| 618 | this->conicTo(rectIter.next(), ovalIter.next(), SK_ScalarRoot2Over2); | 
|---|
| 619 | } | 
|---|
| 620 | this->close(); | 
|---|
| 621 |  | 
|---|
| 622 | if (prevIsA == kIsA_JustMoves) { | 
|---|
| 623 | fIsA      = kIsA_Oval; | 
|---|
| 624 | fIsACCW   = (dir == SkPathDirection::kCCW); | 
|---|
| 625 | fIsAStart = index % 4; | 
|---|
| 626 | } | 
|---|
| 627 | return *this; | 
|---|
| 628 | } | 
|---|
| 629 |  | 
|---|
| 630 | SkPathBuilder& SkPathBuilder::addRRect(const SkRRect& rrect, SkPathDirection dir, unsigned index) { | 
|---|
| 631 | const IsA prevIsA = fIsA; | 
|---|
| 632 | const SkRect& bounds = rrect.getBounds(); | 
|---|
| 633 |  | 
|---|
| 634 | if (rrect.isRect() || rrect.isEmpty()) { | 
|---|
| 635 | // degenerate(rect) => radii points are collapsing | 
|---|
| 636 | this->addRect(bounds, dir, (index + 1) / 2); | 
|---|
| 637 | } else if (rrect.isOval()) { | 
|---|
| 638 | // degenerate(oval) => line points are collapsing | 
|---|
| 639 | this->addOval(bounds, dir, index / 2); | 
|---|
| 640 | } else { | 
|---|
| 641 | // we start with a conic on odd indices when moving CW vs. even indices when moving CCW | 
|---|
| 642 | const bool startsWithConic = ((index & 1) == (dir == SkPathDirection::kCW)); | 
|---|
| 643 | const SkScalar weight = SK_ScalarRoot2Over2; | 
|---|
| 644 |  | 
|---|
| 645 | const int kVerbs = startsWithConic | 
|---|
| 646 | ? 9   // moveTo + 4x conicTo + 3x lineTo + close | 
|---|
| 647 | : 10; // moveTo + 4x lineTo + 4x conicTo + close | 
|---|
| 648 | this->incReserve(kVerbs); | 
|---|
| 649 |  | 
|---|
| 650 | RRectPointIterator rrectIter(rrect, dir, index); | 
|---|
| 651 | // Corner iterator indices follow the collapsed radii model, | 
|---|
| 652 | // adjusted such that the start pt is "behind" the radii start pt. | 
|---|
| 653 | const unsigned rectStartIndex = index / 2 + (dir == SkPathDirection::kCW ? 0 : 1); | 
|---|
| 654 | RectPointIterator rectIter(bounds, dir, rectStartIndex); | 
|---|
| 655 |  | 
|---|
| 656 | this->moveTo(rrectIter.current()); | 
|---|
| 657 | if (startsWithConic) { | 
|---|
| 658 | for (unsigned i = 0; i < 3; ++i) { | 
|---|
| 659 | this->conicTo(rectIter.next(), rrectIter.next(), weight); | 
|---|
| 660 | this->lineTo(rrectIter.next()); | 
|---|
| 661 | } | 
|---|
| 662 | this->conicTo(rectIter.next(), rrectIter.next(), weight); | 
|---|
| 663 | // final lineTo handled by close(). | 
|---|
| 664 | } else { | 
|---|
| 665 | for (unsigned i = 0; i < 4; ++i) { | 
|---|
| 666 | this->lineTo(rrectIter.next()); | 
|---|
| 667 | this->conicTo(rectIter.next(), rrectIter.next(), weight); | 
|---|
| 668 | } | 
|---|
| 669 | } | 
|---|
| 670 | this->close(); | 
|---|
| 671 | } | 
|---|
| 672 |  | 
|---|
| 673 | if (prevIsA == kIsA_JustMoves) { | 
|---|
| 674 | fIsA      = kIsA_RRect; | 
|---|
| 675 | fIsACCW   = (dir == SkPathDirection::kCCW); | 
|---|
| 676 | fIsAStart = index % 8; | 
|---|
| 677 | } | 
|---|
| 678 | return *this; | 
|---|
| 679 | } | 
|---|
| 680 |  | 
|---|
| 681 | SkPathBuilder& SkPathBuilder::addCircle(SkScalar x, SkScalar y, SkScalar r, SkPathDirection dir) { | 
|---|
| 682 | if (r >= 0) { | 
|---|
| 683 | this->addOval(SkRect::MakeLTRB(x - r, y - r, x + r, y + r), dir); | 
|---|
| 684 | } | 
|---|
| 685 | return *this; | 
|---|
| 686 | } | 
|---|
| 687 |  | 
|---|
| 688 | SkPathBuilder& SkPathBuilder::addPolygon(const SkPoint pts[], int count, bool isClosed) { | 
|---|
| 689 | if (count <= 0) { | 
|---|
| 690 | return *this; | 
|---|
| 691 | } | 
|---|
| 692 |  | 
|---|
| 693 | this->incReserve(count, count + isClosed); | 
|---|
| 694 |  | 
|---|
| 695 | this->moveTo(pts[0]); | 
|---|
| 696 | if (count > 1) { | 
|---|
| 697 | count -= 1; | 
|---|
| 698 | memcpy(fPts.append(count), &pts[1], count * sizeof(SkPoint)); | 
|---|
| 699 | memset(fVerbs.append(count), (uint8_t)SkPathVerb::kLine, count); | 
|---|
| 700 | fSegmentMask |= kLine_SkPathSegmentMask; | 
|---|
| 701 | } | 
|---|
| 702 | if (isClosed) { | 
|---|
| 703 | this->close(); | 
|---|
| 704 | } | 
|---|
| 705 | return *this; | 
|---|
| 706 | } | 
|---|
| 707 |  | 
|---|