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Side by Side Diff: src/core/SkPatch.cpp

Issue 463493002: SkCanvas::drawPatch param SkPoint[12] (Closed) Base URL: https://skia.googlesource.com/skia.git@master
Patch Set: Removed GPU headers from GM Created 6 years, 4 months ago
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1 /*
2 * Copyright 2014 Google Inc.
3 *
4 * Use of this source code is governed by a BSD-style license that can be
5 * found in the LICENSE file.
6 */
7
8 #include "SkPatch.h"
9
10 #include "SkGeometry.h"
11 #include "SkColorPriv.h"
12 #include "SkBuffer.h"
13
14 ////////////////////////////////////////////////////////////////////////////////
15
16 /**
17 * Evaluator to sample the values of a cubic bezier using forward differences.
18 * Forward differences is a method for evaluating a nth degree polynomial at a u niform step by only
19 * adding precalculated values.
20 * For a linear example we have the function f(t) = m*t+b, then the value of tha t function at t+h
21 * would be f(t+h) = m*(t+h)+b. If we want to know the uniform step that we must add to the first
22 * evaluation f(t) then we need to substract f(t+h) - f(t) = m*t + m*h + b - m*t + b = mh. After
23 * obtaining this value (mh) we could just add this constant step to our first s ampled point
24 * to compute the next one.
25 *
26 * For the cubic case the first difference gives as a result a quadratic polynom ial to which we can
27 * apply again forward differences and get linear function to which we can apply again forward
28 * differences to get a constant difference. This is why we keep an array of siz e 4, the 0th
29 * position keeps the sampled value while the next ones keep the quadratic, line ar and constant
30 * difference values.
31 */
32
33 class FwDCubicEvaluator {
34
35 public:
36 FwDCubicEvaluator() { }
37
38 /**
39 * Receives the 4 control points of the cubic bezier.
40 */
41 FwDCubicEvaluator(SkPoint a, SkPoint b, SkPoint c, SkPoint d) {
42 fPoints[0] = a;
43 fPoints[1] = b;
44 fPoints[2] = c;
45 fPoints[3] = d;
46
47 SkScalar cx[4], cy[4];
48 SkGetCubicCoeff(fPoints, cx, cy);
49 fCoefs[0].set(cx[0], cy[0]);
50 fCoefs[1].set(cx[1], cy[1]);
51 fCoefs[2].set(cx[2], cy[2]);
52 fCoefs[3].set(cx[3], cy[3]);
53
54 this->restart(1);
55 }
56
57 explicit FwDCubicEvaluator(SkPoint points[4]) {
58 for (int i = 0; i< 4; i++) {
59 fPoints[i] = points[i];
60 }
61
62 SkScalar cx[4], cy[4];
63 SkGetCubicCoeff(fPoints, cx, cy);
64 fCoefs[0].set(cx[0], cy[0]);
65 fCoefs[1].set(cx[1], cy[1]);
66 fCoefs[2].set(cx[2], cy[2]);
67 fCoefs[3].set(cx[3], cy[3]);
68
69 this->restart(1);
70 }
71
72 /**
73 * Restarts the forward differences evaluator to the first value of t = 0.
74 */
75 void restart(int divisions) {
76 fDivisions = divisions;
77 SkScalar h = 1.f / fDivisions;
78 fCurrent = 0;
79 fMax = fDivisions + 1;
80 fFwDiff[0] = fCoefs[3];
81 SkScalar h2 = h * h;
82 SkScalar h3 = h2 * h;
83
84 fFwDiff[3].set(6.f * fCoefs[0].x() * h3, 6.f * fCoefs[0].y() * h3); //6a h^3
85 fFwDiff[2].set(fFwDiff[3].x() + 2.f * fCoefs[1].x() * h2, //6ah^3 + 2bh^ 2
86 fFwDiff[3].y() + 2.f * fCoefs[1].y() * h2);
87 fFwDiff[1].set(fCoefs[0].x() * h3 + fCoefs[1].x() * h2 + fCoefs[2].x() * h,//ah^3 + bh^2 +ch
88 fCoefs[0].y() * h3 + fCoefs[1].y() * h2 + fCoefs[2].y() * h);
89 }
90
91 /**
92 * Check if the evaluator is still within the range of 0<=t<=1
93 */
94 bool done() const {
95 return fCurrent > fMax;
96 }
97
98 /**
99 * Call next to obtain the SkPoint sampled and move to the next one.
100 */
101 SkPoint next() {
102 SkPoint point = fFwDiff[0];
103 fFwDiff[0] += fFwDiff[1];
104 fFwDiff[1] += fFwDiff[2];
105 fFwDiff[2] += fFwDiff[3];
106 fCurrent++;
107 return point;
108 }
109
110 const SkPoint* getCtrlPoints() const {
111 return fPoints;
112 }
113
114 private:
115 int fMax, fCurrent, fDivisions;
116 SkPoint fFwDiff[4], fCoefs[4], fPoints[4];
117 };
118
119 ////////////////////////////////////////////////////////////////////////////////
120
121 SkPatch::SkPatch(const SkPoint points[12], const SkColor colors[4]) {
122 this->reset(points, colors);
123 }
124
125 static uint8_t bilerp(SkScalar tx, SkScalar ty, SkScalar c00, SkScalar c10, SkSc alar c01,
126 SkScalar c11) {
127 SkScalar a = c00 * (1.f - tx) + c10 * tx;
128 SkScalar b = c01 * (1.f - tx) + c11 * tx;
129 return uint8_t(a * (1.f - ty) + b * ty);
130 }
131
132 bool SkPatch::getVertexData(SkPatch::VertexData* data, int lodX, int lodY) const {
133
134 if (lodX < 1 || lodY < 1) {
135 return false;
136 }
137
138 // premultiply colors to avoid color bleeding.
139 SkPMColor colors[SkPatch::kNumColors];
140 for (int i = 0; i < SkPatch::kNumColors; i++) {
141 colors[i] = SkPreMultiplyColor(fCornerColors[i]);
142 }
143
144 // number of indices is limited by size of uint16_t, so we clamp it to avoid overflow
145 data->fVertexCount = SkMin32((lodX + 1) * (lodY + 1), 65536);
146 lodX = SkMin32(lodX, 255);
147 lodY = SkMin32(lodY, 255);
148 data->fIndexCount = lodX * lodY * 6;
149
150 data->fPoints = SkNEW_ARRAY(SkPoint, data->fVertexCount);
151 data->fColors = SkNEW_ARRAY(uint32_t, data->fVertexCount);
152 data->fTexCoords = SkNEW_ARRAY(SkPoint, data->fVertexCount);
153 data->fIndices = SkNEW_ARRAY(uint16_t, data->fIndexCount);
154
155 SkPoint pts[SkPatch::kNumPtsCubic];
156 this->getBottomPoints(pts);
157 FwDCubicEvaluator fBottom(pts);
158 this->getTopPoints(pts);
159 FwDCubicEvaluator fTop(pts);
160 this->getLeftPoints(pts);
161 FwDCubicEvaluator fLeft(pts);
162 this->getRightPoints(pts);
163 FwDCubicEvaluator fRight(pts);
164
165 fBottom.restart(lodX);
166 fTop.restart(lodX);
167
168 SkScalar u = 0.0f;
169 int stride = lodY + 1;
170 for (int x = 0; x <= lodX; x++) {
171 SkPoint bottom = fBottom.next(), top = fTop.next();
172 fLeft.restart(lodY);
173 fRight.restart(lodY);
174 SkScalar v = 0.f;
175 for (int y = 0; y <= lodY; y++) {
176 int dataIndex = x * (lodY + 1) + y;
177
178 SkPoint left = fLeft.next(), right = fRight.next();
179
180 SkPoint s0 = SkPoint::Make((1.0f - v) * top.x() + v * bottom.x(),
181 (1.0f - v) * top.y() + v * bottom.y());
182 SkPoint s1 = SkPoint::Make((1.0f - u) * left.x() + u * right.x(),
183 (1.0f - u) * left.y() + u * right.y());
184 SkPoint s2 = SkPoint::Make(
185 (1.0f - v) * ((1.0f - u) * fTop.getCtrlPo ints()[0].x()
186 + u * fTop.getCtrlPoints()[3].x())
187 + v * ((1.0f - u) * fBottom.getCtrlPoint s()[0].x()
188 + u * fBottom.getCtrlPoints()[3].x()),
189 (1.0f - v) * ((1.0f - u) * fTop.getCtrlPo ints()[0].y()
190 + u * fTop.getCtrlPoints()[3].y())
191 + v * ((1.0f - u) * fBottom.getCtrlPoint s()[0].y()
192 + u * fBottom.getCtrlPoints()[3].y()));
193 data->fPoints[dataIndex] = s0 + s1 - s2;
194
195 uint8_t a = bilerp(u, v,
196 SkScalar(SkColorGetA(colors[kTopLeft_CornerColors])) ,
197 SkScalar(SkColorGetA(colors[kTopRight_CornerColors]) ),
198 SkScalar(SkColorGetA(colors[kBottomLeft_CornerColors ])),
199 SkScalar(SkColorGetA(colors[kBottomRight_CornerColor s])));
200 uint8_t r = bilerp(u, v,
201 SkScalar(SkColorGetR(colors[kTopLeft_CornerColors])) ,
202 SkScalar(SkColorGetR(colors[kTopRight_CornerColors]) ),
203 SkScalar(SkColorGetR(colors[kBottomLeft_CornerColors ])),
204 SkScalar(SkColorGetR(colors[kBottomRight_CornerColor s])));
205 uint8_t g = bilerp(u, v,
206 SkScalar(SkColorGetG(colors[kTopLeft_CornerColors])) ,
207 SkScalar(SkColorGetG(colors[kTopRight_CornerColors]) ),
208 SkScalar(SkColorGetG(colors[kBottomLeft_CornerColors ])),
209 SkScalar(SkColorGetG(colors[kBottomRight_CornerColor s])));
210 uint8_t b = bilerp(u, v,
211 SkScalar(SkColorGetB(colors[kTopLeft_CornerColors])) ,
212 SkScalar(SkColorGetB(colors[kTopRight_CornerColors]) ),
213 SkScalar(SkColorGetB(colors[kBottomLeft_CornerColors ])),
214 SkScalar(SkColorGetB(colors[kBottomRight_CornerColor s])));
215 data->fColors[dataIndex] = SkPackARGB32(a,r,g,b);
216
217 data->fTexCoords[dataIndex] = SkPoint::Make(u, v);
218
219 if(x < lodX && y < lodY) {
220 int i = 6 * (x * lodY + y);
221 data->fIndices[i] = x * stride + y;
222 data->fIndices[i + 1] = x * stride + 1 + y;
223 data->fIndices[i + 2] = (x + 1) * stride + 1 + y;
224 data->fIndices[i + 3] = data->fIndices[i];
225 data->fIndices[i + 4] = data->fIndices[i + 2];
226 data->fIndices[i + 5] = (x + 1) * stride + y;
227 }
228 v = SkScalarClampMax(v + 1.f / lodY, 1);
229 }
230 u = SkScalarClampMax(u + 1.f / lodX, 1);
231 }
232 return true;
233 }
234
235 size_t SkPatch::writeToMemory(void* storage) const {
236 int byteCount = kNumCtrlPts * sizeof(SkPoint) + kNumColors * sizeof(SkColor );
237
238 if (NULL == storage) {
239 return SkAlign4(byteCount);
240 }
241
242 SkWBuffer buffer(storage);
243
244 buffer.write(fCtrlPoints, kNumCtrlPts * sizeof(SkPoint));
245 buffer.write(fCornerColors, kNumColors * sizeof(SkColor));
246
247 buffer.padToAlign4();
248 return buffer.pos();
249 }
250
251 size_t SkPatch::readFromMemory(const void* storage, size_t length) {
252 SkRBufferWithSizeCheck buffer(storage, length);
253
254 if (!buffer.read(fCtrlPoints, kNumCtrlPts * sizeof(SkPoint))) {
255 return 0;
256 }
257
258 if (!buffer.read(fCornerColors, kNumColors * sizeof(SkColor))) {
259 return 0;
260 }
261 return kNumCtrlPts * sizeof(SkPoint) + kNumColors * sizeof(SkColor);
262 }
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