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1 /*
2  * Copyright (C) 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Apple Inc. All rights reserved.
3  * Copyright (C) 2008, 2010 Nokia Corporation and/or its subsidiary(-ies)
4  * Copyright (C) 2007 Alp Toker <alp@atoker.com>
5  * Copyright (C) 2008 Eric Seidel <eric@webkit.org>
6  * Copyright (C) 2008 Dirk Schulze <krit@webkit.org>
7  * Copyright (C) 2010 Torch Mobile (Beijing) Co. Ltd. All rights reserved.
8  * Copyright (C) 2012, 2013 Intel Corporation. All rights reserved.
9  * Copyright (C) 2012, 2013 Adobe Systems Incorporated. All rights reserved.
10  *
11  * Redistribution and use in source and binary forms, with or without
12  * modification, are permitted provided that the following conditions
13  * are met:
14  *
15  * 1.  Redistributions of source code must retain the above copyright
16  *     notice, this list of conditions and the following disclaimer.
17  * 2.  Redistributions in binary form must reproduce the above copyright
18  *     notice, this list of conditions and the following disclaimer in the
19  *     documentation and/or other materials provided with the distribution.
20  *
21  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDER "AS IS" AND ANY
22  * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
23  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
24  * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER BE
25  * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY,
26  * OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
27  * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
28  * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
29  * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR
30  * TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
31  * THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
32  * SUCH DAMAGE.
33  */
34 
35 #include "config.h"
36 #include "core/html/canvas/CanvasPathMethods.h"
37 
38 #include "bindings/v8/ExceptionState.h"
39 #include "core/dom/ExceptionCode.h"
40 #include "platform/geometry/FloatRect.h"
41 #include "platform/transforms/AffineTransform.h"
42 #include "wtf/MathExtras.h"
43 
44 namespace WebCore {
45 
closePath()46 void CanvasPathMethods::closePath()
47 {
48     if (m_path.isEmpty())
49         return;
50 
51     FloatRect boundRect = m_path.boundingRect();
52     if (boundRect.width() || boundRect.height())
53         m_path.closeSubpath();
54 }
55 
moveTo(float x,float y)56 void CanvasPathMethods::moveTo(float x, float y)
57 {
58     if (!std::isfinite(x) || !std::isfinite(y))
59         return;
60     if (!isTransformInvertible())
61         return;
62     m_path.moveTo(FloatPoint(x, y));
63 }
64 
lineTo(float x,float y)65 void CanvasPathMethods::lineTo(float x, float y)
66 {
67     if (!std::isfinite(x) || !std::isfinite(y))
68         return;
69     if (!isTransformInvertible())
70         return;
71 
72     FloatPoint p1 = FloatPoint(x, y);
73     if (!m_path.hasCurrentPoint())
74         m_path.moveTo(p1);
75     else if (p1 != m_path.currentPoint())
76         m_path.addLineTo(p1);
77 }
78 
quadraticCurveTo(float cpx,float cpy,float x,float y)79 void CanvasPathMethods::quadraticCurveTo(float cpx, float cpy, float x, float y)
80 {
81     if (!std::isfinite(cpx) || !std::isfinite(cpy) || !std::isfinite(x) || !std::isfinite(y))
82         return;
83     if (!isTransformInvertible())
84         return;
85     if (!m_path.hasCurrentPoint())
86         m_path.moveTo(FloatPoint(cpx, cpy));
87 
88     FloatPoint p1 = FloatPoint(x, y);
89     FloatPoint cp = FloatPoint(cpx, cpy);
90     if (p1 != m_path.currentPoint() || p1 != cp)
91         m_path.addQuadCurveTo(cp, p1);
92 }
93 
bezierCurveTo(float cp1x,float cp1y,float cp2x,float cp2y,float x,float y)94 void CanvasPathMethods::bezierCurveTo(float cp1x, float cp1y, float cp2x, float cp2y, float x, float y)
95 {
96     if (!std::isfinite(cp1x) || !std::isfinite(cp1y) || !std::isfinite(cp2x) || !std::isfinite(cp2y) || !std::isfinite(x) || !std::isfinite(y))
97         return;
98     if (!isTransformInvertible())
99         return;
100     if (!m_path.hasCurrentPoint())
101         m_path.moveTo(FloatPoint(cp1x, cp1y));
102 
103     FloatPoint p1 = FloatPoint(x, y);
104     FloatPoint cp1 = FloatPoint(cp1x, cp1y);
105     FloatPoint cp2 = FloatPoint(cp2x, cp2y);
106     if (p1 != m_path.currentPoint() || p1 != cp1 ||  p1 != cp2)
107         m_path.addBezierCurveTo(cp1, cp2, p1);
108 }
109 
arcTo(float x1,float y1,float x2,float y2,float r,ExceptionState & exceptionState)110 void CanvasPathMethods::arcTo(float x1, float y1, float x2, float y2, float r, ExceptionState& exceptionState)
111 {
112     if (!std::isfinite(x1) || !std::isfinite(y1) || !std::isfinite(x2) || !std::isfinite(y2) || !std::isfinite(r))
113         return;
114 
115     if (r < 0) {
116         exceptionState.throwDOMException(IndexSizeError, "The radius provided (" + String::number(r) + ") is negative.");
117         return;
118     }
119 
120     if (!isTransformInvertible())
121         return;
122 
123     FloatPoint p1 = FloatPoint(x1, y1);
124     FloatPoint p2 = FloatPoint(x2, y2);
125 
126     if (!m_path.hasCurrentPoint())
127         m_path.moveTo(p1);
128     else if (p1 == m_path.currentPoint() || p1 == p2 || !r)
129         lineTo(x1, y1);
130     else
131         m_path.addArcTo(p1, p2, r);
132 }
133 
134 namespace {
135 
adjustEndAngle(float startAngle,float endAngle,bool anticlockwise)136 float adjustEndAngle(float startAngle, float endAngle, bool anticlockwise)
137 {
138     float newEndAngle = endAngle;
139     /* http://www.whatwg.org/specs/web-apps/current-work/multipage/the-canvas-element.html#dom-context-2d-arc
140      * If the anticlockwise argument is false and endAngle-startAngle is equal to or greater than 2pi, or,
141      * if the anticlockwise argument is true and startAngle-endAngle is equal to or greater than 2pi,
142      * then the arc is the whole circumference of this ellipse, and the point at startAngle along this circle's circumference,
143      * measured in radians clockwise from the ellipse's semi-major axis, acts as both the start point and the end point.
144      */
145     if (!anticlockwise && endAngle - startAngle >= twoPiFloat)
146         newEndAngle = startAngle + twoPiFloat;
147     else if (anticlockwise && startAngle - endAngle >= twoPiFloat)
148         newEndAngle = startAngle - twoPiFloat;
149 
150     /*
151      * Otherwise, the arc is the path along the circumference of this ellipse from the start point to the end point,
152      * going anti-clockwise if the anticlockwise argument is true, and clockwise otherwise.
153      * Since the points are on the ellipse, as opposed to being simply angles from zero,
154      * the arc can never cover an angle greater than 2pi radians.
155      */
156     /* NOTE: When startAngle = 0, endAngle = 2Pi and anticlockwise = true, the spec does not indicate clearly.
157      * We draw the entire circle, because some web sites use arc(x, y, r, 0, 2*Math.PI, true) to draw circle.
158      * We preserve backward-compatibility.
159      */
160     else if (!anticlockwise && startAngle > endAngle)
161         newEndAngle = startAngle + (twoPiFloat - fmodf(startAngle - endAngle, twoPiFloat));
162     else if (anticlockwise && startAngle < endAngle)
163         newEndAngle = startAngle - (twoPiFloat - fmodf(endAngle - startAngle, twoPiFloat));
164 
165     ASSERT(ellipseIsRenderable(startAngle, newEndAngle));
166     return newEndAngle;
167 }
168 
lineToFloatPoint(CanvasPathMethods * path,const FloatPoint & p)169 inline void lineToFloatPoint(CanvasPathMethods* path, const FloatPoint& p)
170 {
171     path->lineTo(p.x(), p.y());
172 }
173 
getPointOnEllipse(float radiusX,float radiusY,float theta)174 inline FloatPoint getPointOnEllipse(float radiusX, float radiusY, float theta)
175 {
176     return FloatPoint(radiusX * cosf(theta), radiusY * sinf(theta));
177 }
178 
canonicalizeAngle(float * startAngle,float * endAngle)179 void canonicalizeAngle(float* startAngle, float* endAngle)
180 {
181     // Make 0 <= startAngle < 2*PI
182     float newStartAngle = *startAngle;
183     if (newStartAngle < 0)
184         newStartAngle = twoPiFloat + fmodf(newStartAngle, -twoPiFloat);
185     else
186         newStartAngle = fmodf(newStartAngle, twoPiFloat);
187 
188     float delta = newStartAngle - *startAngle;
189     *startAngle = newStartAngle;
190     *endAngle = *endAngle + delta;
191     ASSERT(newStartAngle >= 0 && newStartAngle < twoPiFloat);
192 }
193 
194 /*
195  * degenerateEllipse() handles a degenerated ellipse using several lines.
196  *
197  * Let's see a following example: line to ellipse to line.
198  *        _--^\
199  *       (     )
200  * -----(      )
201  *            )
202  *           /--------
203  *
204  * If radiusX becomes zero, the ellipse of the example is degenerated.
205  *         _
206  *        // P
207  *       //
208  * -----//
209  *      /
210  *     /--------
211  *
212  * To draw the above example, need to get P that is a local maximum point.
213  * Angles for P are 0.5Pi and 1.5Pi in the ellipse coordinates.
214  *
215  * If radiusY becomes zero, the result is as follows.
216  * -----__
217  *        --_
218  *          ----------
219  *            ``P
220  * Angles for P are 0 and Pi in the ellipse coordinates.
221  *
222  * To handle both cases, degenerateEllipse() lines to start angle, local maximum points(every 0.5Pi), and end angle.
223  * NOTE: Before ellipse() calls this function, adjustEndAngle() is called, so endAngle - startAngle must be equal to or less than 2Pi.
224  */
degenerateEllipse(CanvasPathMethods * path,float x,float y,float radiusX,float radiusY,float rotation,float startAngle,float endAngle,bool anticlockwise)225 void degenerateEllipse(CanvasPathMethods* path, float x, float y, float radiusX, float radiusY, float rotation, float startAngle, float endAngle, bool anticlockwise)
226 {
227     ASSERT(ellipseIsRenderable(startAngle, endAngle));
228     ASSERT(startAngle >= 0 && startAngle < twoPiFloat);
229     ASSERT((anticlockwise && (startAngle - endAngle) >= 0) || (!anticlockwise && (endAngle - startAngle) >= 0));
230 
231     FloatPoint center(x, y);
232     AffineTransform rotationMatrix;
233     rotationMatrix.rotateRadians(rotation);
234     // First, if the object's path has any subpaths, then the method must add a straight line from the last point in the subpath to the start point of the arc.
235     lineToFloatPoint(path, center + rotationMatrix.mapPoint(getPointOnEllipse(radiusX, radiusY, startAngle)));
236     if ((!radiusX && !radiusY) || startAngle == endAngle)
237         return;
238 
239     if (!anticlockwise) {
240         // startAngle - fmodf(startAngle, piOverTwoFloat) + piOverTwoFloat is the one of (0, 0.5Pi, Pi, 1.5Pi, 2Pi)
241         // that is the closest to startAngle on the clockwise direction.
242         for (float angle = startAngle - fmodf(startAngle, piOverTwoFloat) + piOverTwoFloat; angle < endAngle; angle += piOverTwoFloat)
243             lineToFloatPoint(path, center + rotationMatrix.mapPoint(getPointOnEllipse(radiusX, radiusY, angle)));
244     } else {
245         for (float angle = startAngle - fmodf(startAngle, piOverTwoFloat); angle > endAngle; angle -= piOverTwoFloat)
246             lineToFloatPoint(path, center + rotationMatrix.mapPoint(getPointOnEllipse(radiusX, radiusY, angle)));
247     }
248 
249     lineToFloatPoint(path, center + rotationMatrix.mapPoint(getPointOnEllipse(radiusX, radiusY, endAngle)));
250 }
251 
252 } // namespace
253 
arc(float x,float y,float radius,float startAngle,float endAngle,bool anticlockwise,ExceptionState & exceptionState)254 void CanvasPathMethods::arc(float x, float y, float radius, float startAngle, float endAngle, bool anticlockwise, ExceptionState& exceptionState)
255 {
256     if (!std::isfinite(x) || !std::isfinite(y) || !std::isfinite(radius) || !std::isfinite(startAngle) || !std::isfinite(endAngle))
257         return;
258 
259     if (radius < 0) {
260         exceptionState.throwDOMException(IndexSizeError, "The radius provided (" + String::number(radius) + ") is negative.");
261         return;
262     }
263 
264     if (!isTransformInvertible())
265         return;
266 
267     if (!radius || startAngle == endAngle) {
268         // The arc is empty but we still need to draw the connecting line.
269         lineTo(x + radius * cosf(startAngle), y + radius * sinf(startAngle));
270         return;
271     }
272 
273     canonicalizeAngle(&startAngle, &endAngle);
274     float adjustedEndAngle = adjustEndAngle(startAngle, endAngle, anticlockwise);
275     m_path.addArc(FloatPoint(x, y), radius, startAngle, adjustedEndAngle, anticlockwise);
276 }
277 
ellipse(float x,float y,float radiusX,float radiusY,float rotation,float startAngle,float endAngle,bool anticlockwise,ExceptionState & exceptionState)278 void CanvasPathMethods::ellipse(float x, float y, float radiusX, float radiusY, float rotation, float startAngle, float endAngle, bool anticlockwise, ExceptionState& exceptionState)
279 {
280     if (!std::isfinite(x) || !std::isfinite(y) || !std::isfinite(radiusX) || !std::isfinite(radiusY) || !std::isfinite(rotation) || !std::isfinite(startAngle) || !std::isfinite(endAngle))
281         return;
282 
283     if (radiusX < 0) {
284         exceptionState.throwDOMException(IndexSizeError, "The major-axis radius provided (" + String::number(radiusX) + ") is negative.");
285         return;
286     }
287     if (radiusY < 0) {
288         exceptionState.throwDOMException(IndexSizeError, "The minor-axis radius provided (" + String::number(radiusY) + ") is negative.");
289         return;
290     }
291 
292     if (!isTransformInvertible())
293         return;
294 
295     canonicalizeAngle(&startAngle, &endAngle);
296     float adjustedEndAngle = adjustEndAngle(startAngle, endAngle, anticlockwise);
297     if (!radiusX || !radiusY || startAngle == adjustedEndAngle) {
298         // The ellipse is empty but we still need to draw the connecting line to start point.
299         degenerateEllipse(this, x, y, radiusX, radiusY, rotation, startAngle, adjustedEndAngle, anticlockwise);
300         return;
301     }
302 
303     m_path.addEllipse(FloatPoint(x, y), radiusX, radiusY, rotation, startAngle, adjustedEndAngle, anticlockwise);
304 }
305 
rect(float x,float y,float width,float height)306 void CanvasPathMethods::rect(float x, float y, float width, float height)
307 {
308     if (!isTransformInvertible())
309         return;
310 
311     if (!std::isfinite(x) || !std::isfinite(y) || !std::isfinite(width) || !std::isfinite(height))
312         return;
313 
314     if (!width && !height) {
315         m_path.moveTo(FloatPoint(x, y));
316         return;
317     }
318 
319     m_path.addRect(FloatRect(x, y, width, height));
320 }
321 }
322