1926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)/*
2926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * Copyright (C) 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Apple Inc. All rights reserved.
3926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * Copyright (C) 2008, 2010 Nokia Corporation and/or its subsidiary(-ies)
4926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * Copyright (C) 2007 Alp Toker <alp@atoker.com>
5926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * Copyright (C) 2008 Eric Seidel <eric@webkit.org>
6926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * Copyright (C) 2008 Dirk Schulze <krit@webkit.org>
7926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * Copyright (C) 2010 Torch Mobile (Beijing) Co. Ltd. All rights reserved.
88abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles) * Copyright (C) 2012, 2013 Intel Corporation. All rights reserved.
9926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * Copyright (C) 2012, 2013 Adobe Systems Incorporated. All rights reserved.
10926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) *
11926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * Redistribution and use in source and binary forms, with or without
12926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * modification, are permitted provided that the following conditions
13926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * are met:
14926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) *
15926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * 1.  Redistributions of source code must retain the above copyright
16926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) *     notice, this list of conditions and the following disclaimer.
17926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * 2.  Redistributions in binary form must reproduce the above copyright
18926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) *     notice, this list of conditions and the following disclaimer in the
19926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) *     documentation and/or other materials provided with the distribution.
20926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) *
21926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDER "AS IS" AND ANY
22926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
23926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
24926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER BE
25926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY,
26926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
27926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
28926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
29926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR
30926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
31926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
32926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) * SUCH DAMAGE.
33926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles) */
34926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
35926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)#include "config.h"
3653e740f4a82e17f3ae59772501622dc354e42336Torne (Richard Coles)#include "core/html/canvas/CanvasPathMethods.h"
37926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
38197021e6b966cfb06891637935ef33fff06433d1Ben Murdoch#include "bindings/core/v8/ExceptionState.h"
3953e740f4a82e17f3ae59772501622dc354e42336Torne (Richard Coles)#include "core/dom/ExceptionCode.h"
401e202183a5dc46166763171984b285173f8585e5Torne (Richard Coles)#include "platform/geometry/FloatRect.h"
411e202183a5dc46166763171984b285173f8585e5Torne (Richard Coles)#include "platform/transforms/AffineTransform.h"
42e69819bd8e388ea4ad1636a19aa6b2eed4952191Ben Murdoch#include "wtf/MathExtras.h"
43926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
44c1847b1379d12d0e05df27436bf19a9b1bf12deaTorne (Richard Coles)namespace blink {
45926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
46926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)void CanvasPathMethods::closePath()
47926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles){
48926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (m_path.isEmpty())
49926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
50926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
5153e740f4a82e17f3ae59772501622dc354e42336Torne (Richard Coles)    FloatRect boundRect = m_path.boundingRect();
52926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (boundRect.width() || boundRect.height())
53926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.closeSubpath();
54926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)}
55926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
56926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)void CanvasPathMethods::moveTo(float x, float y)
57926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles){
58926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!std::isfinite(x) || !std::isfinite(y))
59926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
60926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!isTransformInvertible())
61926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
62926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    m_path.moveTo(FloatPoint(x, y));
63926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)}
64926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
65926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)void CanvasPathMethods::lineTo(float x, float y)
66926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles){
67926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!std::isfinite(x) || !std::isfinite(y))
68926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
69926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!isTransformInvertible())
70926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
71926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
72926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    FloatPoint p1 = FloatPoint(x, y);
73926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!m_path.hasCurrentPoint())
74926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.moveTo(p1);
75926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    else if (p1 != m_path.currentPoint())
76926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.addLineTo(p1);
77926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)}
78926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
79926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)void CanvasPathMethods::quadraticCurveTo(float cpx, float cpy, float x, float y)
80926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles){
81926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!std::isfinite(cpx) || !std::isfinite(cpy) || !std::isfinite(x) || !std::isfinite(y))
82926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
83926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!isTransformInvertible())
84926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
85926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!m_path.hasCurrentPoint())
86926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.moveTo(FloatPoint(cpx, cpy));
87926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
88926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    FloatPoint p1 = FloatPoint(x, y);
89926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    FloatPoint cp = FloatPoint(cpx, cpy);
90926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (p1 != m_path.currentPoint() || p1 != cp)
91926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.addQuadCurveTo(cp, p1);
92926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)}
93926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
94926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)void CanvasPathMethods::bezierCurveTo(float cp1x, float cp1y, float cp2x, float cp2y, float x, float y)
95926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles){
96926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!std::isfinite(cp1x) || !std::isfinite(cp1y) || !std::isfinite(cp2x) || !std::isfinite(cp2y) || !std::isfinite(x) || !std::isfinite(y))
97926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
98926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!isTransformInvertible())
99926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
100926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!m_path.hasCurrentPoint())
101926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.moveTo(FloatPoint(cp1x, cp1y));
102926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
103926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    FloatPoint p1 = FloatPoint(x, y);
104926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    FloatPoint cp1 = FloatPoint(cp1x, cp1y);
105926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    FloatPoint cp2 = FloatPoint(cp2x, cp2y);
106926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (p1 != m_path.currentPoint() || p1 != cp1 ||  p1 != cp2)
107926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.addBezierCurveTo(cp1, cp2, p1);
108926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)}
109926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
11051b2906e11752df6c18351cf520e30522d3b53a1Torne (Richard Coles)void CanvasPathMethods::arcTo(float x1, float y1, float x2, float y2, float r, ExceptionState& exceptionState)
111926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles){
112926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!std::isfinite(x1) || !std::isfinite(y1) || !std::isfinite(x2) || !std::isfinite(y2) || !std::isfinite(r))
113926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
114926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
115926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (r < 0) {
11609380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)        exceptionState.throwDOMException(IndexSizeError, "The radius provided (" + String::number(r) + ") is negative.");
117926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
118926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    }
119926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
120926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!isTransformInvertible())
121926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
122926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
123926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    FloatPoint p1 = FloatPoint(x1, y1);
124926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    FloatPoint p2 = FloatPoint(x2, y2);
125926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
126926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!m_path.hasCurrentPoint())
127926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.moveTo(p1);
128926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    else if (p1 == m_path.currentPoint() || p1 == p2 || !r)
129926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        lineTo(x1, y1);
130926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    else
131926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.addArcTo(p1, p2, r);
132926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)}
133926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
1348abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)namespace {
1358abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)
1368abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)float adjustEndAngle(float startAngle, float endAngle, bool anticlockwise)
137926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles){
138c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    float newEndAngle = endAngle;
139c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    /* http://www.whatwg.org/specs/web-apps/current-work/multipage/the-canvas-element.html#dom-context-2d-arc
140c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     * If the anticlockwise argument is false and endAngle-startAngle is equal to or greater than 2pi, or,
141c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     * if the anticlockwise argument is true and startAngle-endAngle is equal to or greater than 2pi,
14209380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)     * then the arc is the whole circumference of this ellipse, and the point at startAngle along this circle's circumference,
14309380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)     * measured in radians clockwise from the ellipse's semi-major axis, acts as both the start point and the end point.
144c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     */
145d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)    if (!anticlockwise && endAngle - startAngle >= twoPiFloat)
146d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)        newEndAngle = startAngle + twoPiFloat;
147d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)    else if (anticlockwise && startAngle - endAngle >= twoPiFloat)
148d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)        newEndAngle = startAngle - twoPiFloat;
149c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
150c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    /*
151c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     * Otherwise, the arc is the path along the circumference of this ellipse from the start point to the end point,
152c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     * going anti-clockwise if the anticlockwise argument is true, and clockwise otherwise.
153c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     * Since the points are on the ellipse, as opposed to being simply angles from zero,
154c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     * the arc can never cover an angle greater than 2pi radians.
155c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     */
156c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    /* NOTE: When startAngle = 0, endAngle = 2Pi and anticlockwise = true, the spec does not indicate clearly.
157c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     * We draw the entire circle, because some web sites use arc(x, y, r, 0, 2*Math.PI, true) to draw circle.
158c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     * We preserve backward-compatibility.
159c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)     */
160c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    else if (!anticlockwise && startAngle > endAngle)
161d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)        newEndAngle = startAngle + (twoPiFloat - fmodf(startAngle - endAngle, twoPiFloat));
162c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    else if (anticlockwise && startAngle < endAngle)
163d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)        newEndAngle = startAngle - (twoPiFloat - fmodf(endAngle - startAngle, twoPiFloat));
164c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
16509380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)    ASSERT(ellipseIsRenderable(startAngle, newEndAngle));
166c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    return newEndAngle;
167c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)}
168c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
1698abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)inline void lineToFloatPoint(CanvasPathMethods* path, const FloatPoint& p)
170c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles){
171c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    path->lineTo(p.x(), p.y());
172c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)}
173c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
1748abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)inline FloatPoint getPointOnEllipse(float radiusX, float radiusY, float theta)
175c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles){
176c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    return FloatPoint(radiusX * cosf(theta), radiusY * sinf(theta));
177c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)}
178c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
1798abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)void canonicalizeAngle(float* startAngle, float* endAngle)
180c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles){
181c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    // Make 0 <= startAngle < 2*PI
182c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    float newStartAngle = *startAngle;
183c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    if (newStartAngle < 0)
184d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)        newStartAngle = twoPiFloat + fmodf(newStartAngle, -twoPiFloat);
185c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    else
186d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)        newStartAngle = fmodf(newStartAngle, twoPiFloat);
187c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
188c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    float delta = newStartAngle - *startAngle;
189c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    *startAngle = newStartAngle;
190c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    *endAngle = *endAngle + delta;
191d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)    ASSERT(newStartAngle >= 0 && newStartAngle < twoPiFloat);
192c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)}
193c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
194c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)/*
195c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * degenerateEllipse() handles a degenerated ellipse using several lines.
196c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *
197c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * Let's see a following example: line to ellipse to line.
198c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *        _--^\
199c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *       (     )
200c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * -----(      )
201c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *            )
202c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *           /--------
203c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *
204c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * If radiusX becomes zero, the ellipse of the example is degenerated.
205c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *         _
206c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *        // P
207c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *       //
208c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * -----//
209c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *      /
210c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *     /--------
211c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *
212c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * To draw the above example, need to get P that is a local maximum point.
213c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * Angles for P are 0.5Pi and 1.5Pi in the ellipse coordinates.
214c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *
215c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * If radiusY becomes zero, the result is as follows.
216c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * -----__
217c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *        --_
218c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *          ----------
219c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *            ``P
220c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * Angles for P are 0 and Pi in the ellipse coordinates.
221c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) *
222c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) * To handle both cases, degenerateEllipse() lines to start angle, local maximum points(every 0.5Pi), and end angle.
22309380295ba73501a205346becac22c6978e4671dTorne (Richard Coles) * NOTE: Before ellipse() calls this function, adjustEndAngle() is called, so endAngle - startAngle must be equal to or less than 2Pi.
224c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles) */
2258abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)void degenerateEllipse(CanvasPathMethods* path, float x, float y, float radiusX, float radiusY, float rotation, float startAngle, float endAngle, bool anticlockwise)
226c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles){
22709380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)    ASSERT(ellipseIsRenderable(startAngle, endAngle));
228d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)    ASSERT(startAngle >= 0 && startAngle < twoPiFloat);
2298abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    ASSERT((anticlockwise && (startAngle - endAngle) >= 0) || (!anticlockwise && (endAngle - startAngle) >= 0));
230c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
231c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    FloatPoint center(x, y);
232c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    AffineTransform rotationMatrix;
233d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)    rotationMatrix.rotateRadians(rotation);
234c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    // 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.
235c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    lineToFloatPoint(path, center + rotationMatrix.mapPoint(getPointOnEllipse(radiusX, radiusY, startAngle)));
236c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    if ((!radiusX && !radiusY) || startAngle == endAngle)
237c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)        return;
238c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
239c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    if (!anticlockwise) {
240d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)        // startAngle - fmodf(startAngle, piOverTwoFloat) + piOverTwoFloat is the one of (0, 0.5Pi, Pi, 1.5Pi, 2Pi)
241c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)        // that is the closest to startAngle on the clockwise direction.
242d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)        for (float angle = startAngle - fmodf(startAngle, piOverTwoFloat) + piOverTwoFloat; angle < endAngle; angle += piOverTwoFloat)
243c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)            lineToFloatPoint(path, center + rotationMatrix.mapPoint(getPointOnEllipse(radiusX, radiusY, angle)));
244c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    } else {
245d5428f32f5d1719f774f62e19147104ca245a3abTorne (Richard Coles)        for (float angle = startAngle - fmodf(startAngle, piOverTwoFloat); angle > endAngle; angle -= piOverTwoFloat)
246c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)            lineToFloatPoint(path, center + rotationMatrix.mapPoint(getPointOnEllipse(radiusX, radiusY, angle)));
247c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    }
248c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
249c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    lineToFloatPoint(path, center + rotationMatrix.mapPoint(getPointOnEllipse(radiusX, radiusY, endAngle)));
250c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)}
251c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
2528abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)} // namespace
2538abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)
25451b2906e11752df6c18351cf520e30522d3b53a1Torne (Richard Coles)void CanvasPathMethods::arc(float x, float y, float radius, float startAngle, float endAngle, bool anticlockwise, ExceptionState& exceptionState)
2558abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles){
2568abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    if (!std::isfinite(x) || !std::isfinite(y) || !std::isfinite(radius) || !std::isfinite(startAngle) || !std::isfinite(endAngle))
2578abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)        return;
2588abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)
2598abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    if (radius < 0) {
26009380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)        exceptionState.throwDOMException(IndexSizeError, "The radius provided (" + String::number(radius) + ") is negative.");
2618abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)        return;
2628abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    }
2638abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)
2648abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    if (!isTransformInvertible())
2658abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)        return;
2668abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)
2678abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    if (!radius || startAngle == endAngle) {
2688abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)        // The arc is empty but we still need to draw the connecting line.
2698abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)        lineTo(x + radius * cosf(startAngle), y + radius * sinf(startAngle));
2708abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)        return;
2718abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    }
2728abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)
2738abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    canonicalizeAngle(&startAngle, &endAngle);
2748abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    float adjustedEndAngle = adjustEndAngle(startAngle, endAngle, anticlockwise);
2758abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    m_path.addArc(FloatPoint(x, y), radius, startAngle, adjustedEndAngle, anticlockwise);
2768abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)}
2778abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)
27851b2906e11752df6c18351cf520e30522d3b53a1Torne (Richard Coles)void CanvasPathMethods::ellipse(float x, float y, float radiusX, float radiusY, float rotation, float startAngle, float endAngle, bool anticlockwise, ExceptionState& exceptionState)
279c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles){
280c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    if (!std::isfinite(x) || !std::isfinite(y) || !std::isfinite(radiusX) || !std::isfinite(radiusY) || !std::isfinite(rotation) || !std::isfinite(startAngle) || !std::isfinite(endAngle))
281926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
282926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
28309380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)    if (radiusX < 0) {
28409380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)        exceptionState.throwDOMException(IndexSizeError, "The major-axis radius provided (" + String::number(radiusX) + ") is negative.");
28509380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)        return;
28609380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)    }
28709380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)    if (radiusY < 0) {
28809380295ba73501a205346becac22c6978e4671dTorne (Richard Coles)        exceptionState.throwDOMException(IndexSizeError, "The minor-axis radius provided (" + String::number(radiusY) + ") is negative.");
289926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
290926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    }
291c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
292c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    if (!isTransformInvertible())
293c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)        return;
294c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)
2958abfc5808a4e34d6e03867af8bc440dee641886fTorne (Richard Coles)    canonicalizeAngle(&startAngle, &endAngle);
296c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    float adjustedEndAngle = adjustEndAngle(startAngle, endAngle, anticlockwise);
297c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    if (!radiusX || !radiusY || startAngle == adjustedEndAngle) {
298c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)        // The ellipse is empty but we still need to draw the connecting line to start point.
299c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)        degenerateEllipse(this, x, y, radiusX, radiusY, rotation, startAngle, adjustedEndAngle, anticlockwise);
300926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
301926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    }
302926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
303c0e19a689c8ac22cdc96b291a8d33a5d3b0b34a4Torne (Richard Coles)    m_path.addEllipse(FloatPoint(x, y), radiusX, radiusY, rotation, startAngle, adjustedEndAngle, anticlockwise);
304926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)}
305926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
306926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)void CanvasPathMethods::rect(float x, float y, float width, float height)
307926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles){
308926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!isTransformInvertible())
309926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
310926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
311926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!std::isfinite(x) || !std::isfinite(y) || !std::isfinite(width) || !std::isfinite(height))
312926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
313926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
314926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    if (!width && !height) {
315926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        m_path.moveTo(FloatPoint(x, y));
316926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)        return;
317926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    }
318926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)
319926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)    m_path.addRect(FloatRect(x, y, width, height));
320926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)}
321926b001d589ce2f10facb93dd4b87578ea35a855Torne (Richard Coles)}
322