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1 /* | 1 /* |
2 * Copyright 2011 Google Inc. | 2 * Copyright 2011 Google Inc. |
3 * | 3 * |
4 * Use of this source code is governed by a BSD-style license that can be | 4 * Use of this source code is governed by a BSD-style license that can be |
5 * found in the LICENSE file. | 5 * found in the LICENSE file. |
6 */ | 6 */ |
7 | 7 |
8 #include "GrPathUtils.h" | 8 #include "GrPathUtils.h" |
9 | 9 |
10 #include "GrPoint.h" | 10 #include "GrPoint.h" |
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29 stretch = SkMaxScalar(stretch, mat.mapRadius(SK_Scalar1)); | 29 stretch = SkMaxScalar(stretch, mat.mapRadius(SK_Scalar1)); |
30 } | 30 } |
31 } | 31 } |
32 srcTol = SkScalarDiv(srcTol, stretch); | 32 srcTol = SkScalarDiv(srcTol, stretch); |
33 return srcTol; | 33 return srcTol; |
34 } | 34 } |
35 | 35 |
36 static const int MAX_POINTS_PER_CURVE = 1 << 10; | 36 static const int MAX_POINTS_PER_CURVE = 1 << 10; |
37 static const SkScalar gMinCurveTol = 0.0001f; | 37 static const SkScalar gMinCurveTol = 0.0001f; |
38 | 38 |
39 uint32_t GrPathUtils::quadraticPointCount(const GrPoint points[], | 39 uint32_t GrPathUtils::quadraticPointCount(const SkPoint points[], |
40 SkScalar tol) { | 40 SkScalar tol) { |
41 if (tol < gMinCurveTol) { | 41 if (tol < gMinCurveTol) { |
42 tol = gMinCurveTol; | 42 tol = gMinCurveTol; |
43 } | 43 } |
44 SkASSERT(tol > 0); | 44 SkASSERT(tol > 0); |
45 | 45 |
46 SkScalar d = points[1].distanceToLineSegmentBetween(points[0], points[2]); | 46 SkScalar d = points[1].distanceToLineSegmentBetween(points[0], points[2]); |
47 if (d <= tol) { | 47 if (d <= tol) { |
48 return 1; | 48 return 1; |
49 } else { | 49 } else { |
50 // Each time we subdivide, d should be cut in 4. So we need to | 50 // Each time we subdivide, d should be cut in 4. So we need to |
51 // subdivide x = log4(d/tol) times. x subdivisions creates 2^(x) | 51 // subdivide x = log4(d/tol) times. x subdivisions creates 2^(x) |
52 // points. | 52 // points. |
53 // 2^(log4(x)) = sqrt(x); | 53 // 2^(log4(x)) = sqrt(x); |
54 int temp = SkScalarCeilToInt(SkScalarSqrt(SkScalarDiv(d, tol))); | 54 int temp = SkScalarCeilToInt(SkScalarSqrt(SkScalarDiv(d, tol))); |
55 int pow2 = GrNextPow2(temp); | 55 int pow2 = GrNextPow2(temp); |
56 // Because of NaNs & INFs we can wind up with a degenerate temp | 56 // Because of NaNs & INFs we can wind up with a degenerate temp |
57 // such that pow2 comes out negative. Also, our point generator | 57 // such that pow2 comes out negative. Also, our point generator |
58 // will always output at least one pt. | 58 // will always output at least one pt. |
59 if (pow2 < 1) { | 59 if (pow2 < 1) { |
60 pow2 = 1; | 60 pow2 = 1; |
61 } | 61 } |
62 return GrMin(pow2, MAX_POINTS_PER_CURVE); | 62 return SkTMin(pow2, MAX_POINTS_PER_CURVE); |
63 } | 63 } |
64 } | 64 } |
65 | 65 |
66 uint32_t GrPathUtils::generateQuadraticPoints(const GrPoint& p0, | 66 uint32_t GrPathUtils::generateQuadraticPoints(const SkPoint& p0, |
67 const GrPoint& p1, | 67 const SkPoint& p1, |
68 const GrPoint& p2, | 68 const SkPoint& p2, |
69 SkScalar tolSqd, | 69 SkScalar tolSqd, |
70 GrPoint** points, | 70 SkPoint** points, |
71 uint32_t pointsLeft) { | 71 uint32_t pointsLeft) { |
72 if (pointsLeft < 2 || | 72 if (pointsLeft < 2 || |
73 (p1.distanceToLineSegmentBetweenSqd(p0, p2)) < tolSqd) { | 73 (p1.distanceToLineSegmentBetweenSqd(p0, p2)) < tolSqd) { |
74 (*points)[0] = p2; | 74 (*points)[0] = p2; |
75 *points += 1; | 75 *points += 1; |
76 return 1; | 76 return 1; |
77 } | 77 } |
78 | 78 |
79 GrPoint q[] = { | 79 SkPoint q[] = { |
80 { SkScalarAve(p0.fX, p1.fX), SkScalarAve(p0.fY, p1.fY) }, | 80 { SkScalarAve(p0.fX, p1.fX), SkScalarAve(p0.fY, p1.fY) }, |
81 { SkScalarAve(p1.fX, p2.fX), SkScalarAve(p1.fY, p2.fY) }, | 81 { SkScalarAve(p1.fX, p2.fX), SkScalarAve(p1.fY, p2.fY) }, |
82 }; | 82 }; |
83 GrPoint r = { SkScalarAve(q[0].fX, q[1].fX), SkScalarAve(q[0].fY, q[1].fY) }
; | 83 SkPoint r = { SkScalarAve(q[0].fX, q[1].fX), SkScalarAve(q[0].fY, q[1].fY) }
; |
84 | 84 |
85 pointsLeft >>= 1; | 85 pointsLeft >>= 1; |
86 uint32_t a = generateQuadraticPoints(p0, q[0], r, tolSqd, points, pointsLeft
); | 86 uint32_t a = generateQuadraticPoints(p0, q[0], r, tolSqd, points, pointsLeft
); |
87 uint32_t b = generateQuadraticPoints(r, q[1], p2, tolSqd, points, pointsLeft
); | 87 uint32_t b = generateQuadraticPoints(r, q[1], p2, tolSqd, points, pointsLeft
); |
88 return a + b; | 88 return a + b; |
89 } | 89 } |
90 | 90 |
91 uint32_t GrPathUtils::cubicPointCount(const GrPoint points[], | 91 uint32_t GrPathUtils::cubicPointCount(const SkPoint points[], |
92 SkScalar tol) { | 92 SkScalar tol) { |
93 if (tol < gMinCurveTol) { | 93 if (tol < gMinCurveTol) { |
94 tol = gMinCurveTol; | 94 tol = gMinCurveTol; |
95 } | 95 } |
96 SkASSERT(tol > 0); | 96 SkASSERT(tol > 0); |
97 | 97 |
98 SkScalar d = GrMax( | 98 SkScalar d = SkTMax( |
99 points[1].distanceToLineSegmentBetweenSqd(points[0], points[3]), | 99 points[1].distanceToLineSegmentBetweenSqd(points[0], points[3]), |
100 points[2].distanceToLineSegmentBetweenSqd(points[0], points[3])); | 100 points[2].distanceToLineSegmentBetweenSqd(points[0], points[3])); |
101 d = SkScalarSqrt(d); | 101 d = SkScalarSqrt(d); |
102 if (d <= tol) { | 102 if (d <= tol) { |
103 return 1; | 103 return 1; |
104 } else { | 104 } else { |
105 int temp = SkScalarCeilToInt(SkScalarSqrt(SkScalarDiv(d, tol))); | 105 int temp = SkScalarCeilToInt(SkScalarSqrt(SkScalarDiv(d, tol))); |
106 int pow2 = GrNextPow2(temp); | 106 int pow2 = GrNextPow2(temp); |
107 // Because of NaNs & INFs we can wind up with a degenerate temp | 107 // Because of NaNs & INFs we can wind up with a degenerate temp |
108 // such that pow2 comes out negative. Also, our point generator | 108 // such that pow2 comes out negative. Also, our point generator |
109 // will always output at least one pt. | 109 // will always output at least one pt. |
110 if (pow2 < 1) { | 110 if (pow2 < 1) { |
111 pow2 = 1; | 111 pow2 = 1; |
112 } | 112 } |
113 return GrMin(pow2, MAX_POINTS_PER_CURVE); | 113 return SkTMin(pow2, MAX_POINTS_PER_CURVE); |
114 } | 114 } |
115 } | 115 } |
116 | 116 |
117 uint32_t GrPathUtils::generateCubicPoints(const GrPoint& p0, | 117 uint32_t GrPathUtils::generateCubicPoints(const SkPoint& p0, |
118 const GrPoint& p1, | 118 const SkPoint& p1, |
119 const GrPoint& p2, | 119 const SkPoint& p2, |
120 const GrPoint& p3, | 120 const SkPoint& p3, |
121 SkScalar tolSqd, | 121 SkScalar tolSqd, |
122 GrPoint** points, | 122 SkPoint** points, |
123 uint32_t pointsLeft) { | 123 uint32_t pointsLeft) { |
124 if (pointsLeft < 2 || | 124 if (pointsLeft < 2 || |
125 (p1.distanceToLineSegmentBetweenSqd(p0, p3) < tolSqd && | 125 (p1.distanceToLineSegmentBetweenSqd(p0, p3) < tolSqd && |
126 p2.distanceToLineSegmentBetweenSqd(p0, p3) < tolSqd)) { | 126 p2.distanceToLineSegmentBetweenSqd(p0, p3) < tolSqd)) { |
127 (*points)[0] = p3; | 127 (*points)[0] = p3; |
128 *points += 1; | 128 *points += 1; |
129 return 1; | 129 return 1; |
130 } | 130 } |
131 GrPoint q[] = { | 131 SkPoint q[] = { |
132 { SkScalarAve(p0.fX, p1.fX), SkScalarAve(p0.fY, p1.fY) }, | 132 { SkScalarAve(p0.fX, p1.fX), SkScalarAve(p0.fY, p1.fY) }, |
133 { SkScalarAve(p1.fX, p2.fX), SkScalarAve(p1.fY, p2.fY) }, | 133 { SkScalarAve(p1.fX, p2.fX), SkScalarAve(p1.fY, p2.fY) }, |
134 { SkScalarAve(p2.fX, p3.fX), SkScalarAve(p2.fY, p3.fY) } | 134 { SkScalarAve(p2.fX, p3.fX), SkScalarAve(p2.fY, p3.fY) } |
135 }; | 135 }; |
136 GrPoint r[] = { | 136 SkPoint r[] = { |
137 { SkScalarAve(q[0].fX, q[1].fX), SkScalarAve(q[0].fY, q[1].fY) }, | 137 { SkScalarAve(q[0].fX, q[1].fX), SkScalarAve(q[0].fY, q[1].fY) }, |
138 { SkScalarAve(q[1].fX, q[2].fX), SkScalarAve(q[1].fY, q[2].fY) } | 138 { SkScalarAve(q[1].fX, q[2].fX), SkScalarAve(q[1].fY, q[2].fY) } |
139 }; | 139 }; |
140 GrPoint s = { SkScalarAve(r[0].fX, r[1].fX), SkScalarAve(r[0].fY, r[1].fY) }
; | 140 SkPoint s = { SkScalarAve(r[0].fX, r[1].fX), SkScalarAve(r[0].fY, r[1].fY) }
; |
141 pointsLeft >>= 1; | 141 pointsLeft >>= 1; |
142 uint32_t a = generateCubicPoints(p0, q[0], r[0], s, tolSqd, points, pointsLe
ft); | 142 uint32_t a = generateCubicPoints(p0, q[0], r[0], s, tolSqd, points, pointsLe
ft); |
143 uint32_t b = generateCubicPoints(s, r[1], q[2], p3, tolSqd, points, pointsLe
ft); | 143 uint32_t b = generateCubicPoints(s, r[1], q[2], p3, tolSqd, points, pointsLe
ft); |
144 return a + b; | 144 return a + b; |
145 } | 145 } |
146 | 146 |
147 int GrPathUtils::worstCasePointCount(const SkPath& path, int* subpaths, | 147 int GrPathUtils::worstCasePointCount(const SkPath& path, int* subpaths, |
148 SkScalar tol) { | 148 SkScalar tol) { |
149 if (tol < gMinCurveTol) { | 149 if (tol < gMinCurveTol) { |
150 tol = gMinCurveTol; | 150 tol = gMinCurveTol; |
151 } | 151 } |
152 SkASSERT(tol > 0); | 152 SkASSERT(tol > 0); |
153 | 153 |
154 int pointCount = 0; | 154 int pointCount = 0; |
155 *subpaths = 1; | 155 *subpaths = 1; |
156 | 156 |
157 bool first = true; | 157 bool first = true; |
158 | 158 |
159 SkPath::Iter iter(path, false); | 159 SkPath::Iter iter(path, false); |
160 SkPath::Verb verb; | 160 SkPath::Verb verb; |
161 | 161 |
162 GrPoint pts[4]; | 162 SkPoint pts[4]; |
163 while ((verb = iter.next(pts)) != SkPath::kDone_Verb) { | 163 while ((verb = iter.next(pts)) != SkPath::kDone_Verb) { |
164 | 164 |
165 switch (verb) { | 165 switch (verb) { |
166 case SkPath::kLine_Verb: | 166 case SkPath::kLine_Verb: |
167 pointCount += 1; | 167 pointCount += 1; |
168 break; | 168 break; |
169 case SkPath::kQuad_Verb: | 169 case SkPath::kQuad_Verb: |
170 pointCount += quadraticPointCount(pts, tol); | 170 pointCount += quadraticPointCount(pts, tol); |
171 break; | 171 break; |
172 case SkPath::kCubic_Verb: | 172 case SkPath::kCubic_Verb: |
173 pointCount += cubicPointCount(pts, tol); | 173 pointCount += cubicPointCount(pts, tol); |
174 break; | 174 break; |
175 case SkPath::kMove_Verb: | 175 case SkPath::kMove_Verb: |
176 pointCount += 1; | 176 pointCount += 1; |
177 if (!first) { | 177 if (!first) { |
178 ++(*subpaths); | 178 ++(*subpaths); |
179 } | 179 } |
180 break; | 180 break; |
181 default: | 181 default: |
182 break; | 182 break; |
183 } | 183 } |
184 first = false; | 184 first = false; |
185 } | 185 } |
186 return pointCount; | 186 return pointCount; |
187 } | 187 } |
188 | 188 |
189 void GrPathUtils::QuadUVMatrix::set(const GrPoint qPts[3]) { | 189 void GrPathUtils::QuadUVMatrix::set(const SkPoint qPts[3]) { |
190 SkMatrix m; | 190 SkMatrix m; |
191 // We want M such that M * xy_pt = uv_pt | 191 // We want M such that M * xy_pt = uv_pt |
192 // We know M * control_pts = [0 1/2 1] | 192 // We know M * control_pts = [0 1/2 1] |
193 // [0 0 1] | 193 // [0 0 1] |
194 // [1 1 1] | 194 // [1 1 1] |
195 // And control_pts = [x0 x1 x2] | 195 // And control_pts = [x0 x1 x2] |
196 // [y0 y1 y2] | 196 // [y0 y1 y2] |
197 // [1 1 1 ] | 197 // [1 1 1 ] |
198 // We invert the control pt matrix and post concat to both sides to get M. | 198 // We invert the control pt matrix and post concat to both sides to get M. |
199 // Using the known form of the control point matrix and the result, we can | 199 // Using the known form of the control point matrix and the result, we can |
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219 maxEdge = 1; | 219 maxEdge = 1; |
220 } | 220 } |
221 d = qPts[2].distanceToSqd(qPts[0]); | 221 d = qPts[2].distanceToSqd(qPts[0]); |
222 if (d > maxD) { | 222 if (d > maxD) { |
223 maxD = d; | 223 maxD = d; |
224 maxEdge = 2; | 224 maxEdge = 2; |
225 } | 225 } |
226 // We could have a tolerance here, not sure if it would improve anything | 226 // We could have a tolerance here, not sure if it would improve anything |
227 if (maxD > 0) { | 227 if (maxD > 0) { |
228 // Set the matrix to give (u = 0, v = distance_to_line) | 228 // Set the matrix to give (u = 0, v = distance_to_line) |
229 GrVec lineVec = qPts[(maxEdge + 1)%3] - qPts[maxEdge]; | 229 SkVector lineVec = qPts[(maxEdge + 1)%3] - qPts[maxEdge]; |
230 // when looking from the point 0 down the line we want positive | 230 // when looking from the point 0 down the line we want positive |
231 // distances to be to the left. This matches the non-degenerate | 231 // distances to be to the left. This matches the non-degenerate |
232 // case. | 232 // case. |
233 lineVec.setOrthog(lineVec, GrPoint::kLeft_Side); | 233 lineVec.setOrthog(lineVec, SkPoint::kLeft_Side); |
234 lineVec.dot(qPts[0]); | 234 lineVec.dot(qPts[0]); |
235 // first row | 235 // first row |
236 fM[0] = 0; | 236 fM[0] = 0; |
237 fM[1] = 0; | 237 fM[1] = 0; |
238 fM[2] = 0; | 238 fM[2] = 0; |
239 // second row | 239 // second row |
240 fM[3] = lineVec.fX; | 240 fM[3] = lineVec.fX; |
241 fM[4] = lineVec.fY; | 241 fM[4] = lineVec.fY; |
242 fM[5] = -lineVec.dot(qPts[maxEdge]); | 242 fM[5] = -lineVec.dot(qPts[maxEdge]); |
243 } else { | 243 } else { |
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512 sublevel + 1); | 512 sublevel + 1); |
513 convert_noninflect_cubic_to_quads(choppedPts + 3, | 513 convert_noninflect_cubic_to_quads(choppedPts + 3, |
514 toleranceSqd, | 514 toleranceSqd, |
515 constrainWithinTangents, | 515 constrainWithinTangents, |
516 dir, | 516 dir, |
517 quads, | 517 quads, |
518 sublevel + 1); | 518 sublevel + 1); |
519 } | 519 } |
520 } | 520 } |
521 | 521 |
522 void GrPathUtils::convertCubicToQuads(const GrPoint p[4], | 522 void GrPathUtils::convertCubicToQuads(const SkPoint p[4], |
523 SkScalar tolScale, | 523 SkScalar tolScale, |
524 bool constrainWithinTangents, | 524 bool constrainWithinTangents, |
525 SkPath::Direction dir, | 525 SkPath::Direction dir, |
526 SkTArray<SkPoint, true>* quads) { | 526 SkTArray<SkPoint, true>* quads) { |
527 SkPoint chopped[10]; | 527 SkPoint chopped[10]; |
528 int count = SkChopCubicAtInflections(p, chopped); | 528 int count = SkChopCubicAtInflections(p, chopped); |
529 | 529 |
530 // base tolerance is 1 pixel. | 530 // base tolerance is 1 pixel. |
531 static const SkScalar kTolerance = SK_Scalar1; | 531 static const SkScalar kTolerance = SK_Scalar1; |
532 const SkScalar tolSqd = SkScalarSquare(SkScalarMul(tolScale, kTolerance)); | 532 const SkScalar tolSqd = SkScalarSquare(SkScalarMul(tolScale, kTolerance)); |
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859 set_loop_klm(d, controlK, controlL, controlM); | 859 set_loop_klm(d, controlK, controlL, controlM); |
860 } else if (kCusp_CubicType == cType) { | 860 } else if (kCusp_CubicType == cType) { |
861 SkASSERT(0.f == d[0]); | 861 SkASSERT(0.f == d[0]); |
862 set_cusp_klm(d, controlK, controlL, controlM); | 862 set_cusp_klm(d, controlK, controlL, controlM); |
863 } else if (kQuadratic_CubicType == cType) { | 863 } else if (kQuadratic_CubicType == cType) { |
864 set_quadratic_klm(d, controlK, controlL, controlM); | 864 set_quadratic_klm(d, controlK, controlL, controlM); |
865 } | 865 } |
866 | 866 |
867 calc_cubic_klm(p, controlK, controlL, controlM, klm, &klm[3], &klm[6]); | 867 calc_cubic_klm(p, controlK, controlL, controlM, klm, &klm[3], &klm[6]); |
868 } | 868 } |
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