/* * Copyright (C) 2002, 2003 The Karbon Developers * 2006 Alexander Kellett * 2006, 2007 Rob Buis * Copyrigth (C) 2007, 2009 Apple, Inc. All rights reserved. * Copyright (C) Research In Motion Limited 2010. All rights reserved. * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Library General Public * License as published by the Free Software Foundation; either * version 2 of the License, or (at your option) any later version. * * This library is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * Library General Public License for more details. * * You should have received a copy of the GNU Library General Public License * along with this library; see the file COPYING.LIB. If not, write to * the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, * Boston, MA 02110-1301, USA. * */ #include "config.h" #if ENABLE(SVG) #include "SVGPathParser.h" #include "AffineTransform.h" #include "SVGParserUtilities.h" #include static const float gOneOverThree = 1 / 3.f; namespace WebCore { SVGPathParser::SVGPathParser(SVGPathConsumer* consumer) : m_consumer(consumer) { } SVGPathParser::~SVGPathParser() { } void SVGPathParser::parseClosePathSegment() { // Reset m_currentPoint for the next path. if (m_normalized) m_currentPoint = m_subPathPoint; m_pathClosed = true; m_consumer->closePath(); } bool SVGPathParser::parseMoveToSegment() { float toX; float toY; if (!parseNumber(m_ptr, m_end, toX) || !parseNumber(m_ptr, m_end, toY)) return false; FloatPoint toPoint(toX, toY); if (m_normalized) { if (m_mode == RelativeCoordinates) m_currentPoint += toPoint; else m_currentPoint = toPoint; m_subPathPoint = m_currentPoint; m_consumer->moveTo(m_currentPoint, m_pathClosed, AbsoluteCoordinates); } else m_consumer->moveTo(toPoint, m_pathClosed, m_mode); m_pathClosed = false; return true; } bool SVGPathParser::parseLineToSegment() { float toX; float toY; if (!parseNumber(m_ptr, m_end, toX) || !parseNumber(m_ptr, m_end, toY)) return false; FloatPoint toPoint(toX, toY); if (m_normalized) { if (m_mode == RelativeCoordinates) m_currentPoint += toPoint; else m_currentPoint = toPoint; m_consumer->lineTo(m_currentPoint, AbsoluteCoordinates); } else m_consumer->lineTo(toPoint, m_mode); return true; } bool SVGPathParser::parseLineToHorizontalSegment() { float toX; if (!parseNumber(m_ptr, m_end, toX)) return false; if (m_normalized) { if (m_mode == RelativeCoordinates) m_currentPoint.move(toX, 0); else m_currentPoint.setX(toX); m_consumer->lineTo(m_currentPoint, AbsoluteCoordinates); } else m_consumer->lineToHorizontal(toX, m_mode); return true; } bool SVGPathParser::parseLineToVerticalSegment() { float toY; if (!parseNumber(m_ptr, m_end, toY)) return false; if (m_normalized) { if (m_mode == RelativeCoordinates) m_currentPoint.move(0, toY); else m_currentPoint.setY(toY); m_consumer->lineTo(m_currentPoint, AbsoluteCoordinates); } else m_consumer->lineToVertical(toY, m_mode); return true; } bool SVGPathParser::parseCurveToCubicSegment() { float x1; float y1; float x2; float y2; float toX; float toY; if (!parseNumber(m_ptr, m_end, x1) || !parseNumber(m_ptr, m_end, y1) || !parseNumber(m_ptr, m_end, x2) || !parseNumber(m_ptr, m_end, y2) || !parseNumber(m_ptr, m_end, toX) || !parseNumber(m_ptr, m_end, toY)) return false; FloatPoint point1(x1, y1); FloatPoint point2(x2, y2); FloatPoint point3(toX, toY); if (m_normalized) { if (m_mode == RelativeCoordinates) { point1 += m_currentPoint; point2 += m_currentPoint; point3 += m_currentPoint; } m_consumer->curveToCubic(point1, point2, point3, AbsoluteCoordinates); m_controlPoint = point2; m_currentPoint = point3; } else m_consumer->curveToCubic(point1, point2, point3, m_mode); return true; } bool SVGPathParser::parseCurveToCubicSmoothSegment() { float x2; float y2; float toX; float toY; if (!parseNumber(m_ptr, m_end, x2) || !parseNumber(m_ptr, m_end, y2) || !parseNumber(m_ptr, m_end, toX) || !parseNumber(m_ptr, m_end, toY)) return false; if (m_lastCommand != 'c' && m_lastCommand != 'C' && m_lastCommand != 's' && m_lastCommand != 'S') m_controlPoint = m_currentPoint; FloatPoint point2(x2, y2); FloatPoint point3(toX, toY); if (m_normalized) { FloatPoint point1 = m_currentPoint; point1.scale(2, 2); point1.move(-m_controlPoint.x(), -m_controlPoint.y()); if (m_mode == RelativeCoordinates) { point2 += m_currentPoint; point3 += m_currentPoint; } m_consumer->curveToCubic(point1, point2, point3, AbsoluteCoordinates); m_controlPoint = point2; m_currentPoint = point3; } else m_consumer->curveToCubicSmooth(point2, point3, m_mode); return true; } bool SVGPathParser::parseCurveToQuadraticSegment() { float x1; float y1; float toX; float toY; if (!parseNumber(m_ptr, m_end, x1) || !parseNumber(m_ptr, m_end, y1) || !parseNumber(m_ptr, m_end, toX) || !parseNumber(m_ptr, m_end, toY)) return false; FloatPoint point3(toX, toY); if (m_normalized) { FloatPoint point1 = m_currentPoint; point1.move(2 * x1, 2 * y1); FloatPoint point2(toX + 2 * x1, toY + 2 * y1); if (m_mode == RelativeCoordinates) { point1.move(2 * m_currentPoint.x(), 2 * m_currentPoint.y()); point2.move(3 * m_currentPoint.x(), 3 * m_currentPoint.y()); point3 += m_currentPoint; } point1.scale(gOneOverThree, gOneOverThree); point2.scale(gOneOverThree, gOneOverThree); m_consumer->curveToCubic(point1, point2, point3, AbsoluteCoordinates); m_controlPoint = FloatPoint(x1, y1); if (m_mode == RelativeCoordinates) m_controlPoint += m_currentPoint; m_currentPoint = point3; } else m_consumer->curveToQuadratic(FloatPoint(x1, y1), point3, m_mode); return true; } bool SVGPathParser::parseCurveToQuadraticSmoothSegment() { float toX; float toY; if (!parseNumber(m_ptr, m_end, toX) || !parseNumber(m_ptr, m_end, toY)) return false; if (m_lastCommand != 'q' && m_lastCommand != 'Q' && m_lastCommand != 't' && m_lastCommand != 'T') m_controlPoint = m_currentPoint; if (m_normalized) { FloatPoint cubicPoint = m_currentPoint; cubicPoint.scale(2, 2); cubicPoint.move(-m_controlPoint.x(), -m_controlPoint.y()); FloatPoint point1(m_currentPoint.x() + 2 * cubicPoint.x(), m_currentPoint.y() + 2 * cubicPoint.y()); FloatPoint point2(toX + 2 * cubicPoint.x(), toY + 2 * cubicPoint.y()); FloatPoint point3(toX, toY); if (m_mode == RelativeCoordinates) { point2 += m_currentPoint; point3 += m_currentPoint; } point1.scale(gOneOverThree, gOneOverThree); point2.scale(gOneOverThree, gOneOverThree); m_consumer->curveToCubic(point1, point2, point3, AbsoluteCoordinates); m_controlPoint = cubicPoint; m_currentPoint = point3; } else m_consumer->curveToQuadraticSmooth(FloatPoint(toX, toY), m_mode); return true; } bool SVGPathParser::parseArcToSegment() { bool largeArc; bool sweep; float angle; float rx; float ry; float toX; float toY; if (!parseNumber(m_ptr, m_end, rx) || !parseNumber(m_ptr, m_end, ry) || !parseNumber(m_ptr, m_end, angle) || !parseArcFlag(m_ptr, m_end, largeArc) || !parseArcFlag(m_ptr, m_end, sweep) || !parseNumber(m_ptr, m_end, toX) || !parseNumber(m_ptr, m_end, toY)) return false; FloatPoint point2 = FloatPoint(toX, toY); // If rx = 0 or ry = 0 then this arc is treated as a straight line segment (a "lineto") joining the endpoints. // http://www.w3.org/TR/SVG/implnote.html#ArcOutOfRangeParameters rx = fabsf(rx); ry = fabsf(ry); if (!rx || !ry) { if (m_normalized) { if (m_mode == RelativeCoordinates) m_currentPoint += point2; else m_currentPoint = point2; m_consumer->lineTo(m_currentPoint, AbsoluteCoordinates); } else m_consumer->lineTo(point2, m_mode); return true; } if (m_normalized) { FloatPoint point1 = m_currentPoint; if (m_mode == RelativeCoordinates) point2 += m_currentPoint; m_currentPoint = point2; return decomposeArcToCubic(angle, rx, ry, point1, point2, largeArc, sweep); } m_consumer->arcTo(point2, rx, ry, angle, largeArc, sweep, m_mode); return true; } bool SVGPathParser::parsePathDataString(const String& s, bool normalized) { m_ptr = s.characters(); m_end = m_ptr + s.length(); m_normalized = normalized; m_controlPoint = FloatPoint(); m_currentPoint = FloatPoint(); m_subPathPoint = FloatPoint(); m_pathClosed = true; // Skip any leading spaces. if (!skipOptionalSpaces(m_ptr, m_end)) return false; char command = *(m_ptr++); m_lastCommand = ' '; // Path must start with moveto. if (command != 'm' && command != 'M') return false; while (true) { // Skip spaces between command and first coordinate. skipOptionalSpaces(m_ptr, m_end); m_mode = command >= 'a' && command <= 'z' ? RelativeCoordinates : AbsoluteCoordinates; switch (command) { case 'm': case 'M': if (!parseMoveToSegment()) return false; break; case 'l': case 'L': if (!parseLineToSegment()) return false; break; case 'h': case 'H': if (!parseLineToHorizontalSegment()) return false; break; case 'v': case 'V': if (!parseLineToVerticalSegment()) return false; break; case 'z': case 'Z': parseClosePathSegment(); break; case 'c': case 'C': if (!parseCurveToCubicSegment()) return false; break; case 's': case 'S': if (!parseCurveToCubicSmoothSegment()) return false; break; case 'q': case 'Q': if (!parseCurveToQuadraticSegment()) return false; break; case 't': case 'T': if (!parseCurveToQuadraticSmoothSegment()) return false; break; case 'a': case 'A': if (!parseArcToSegment()) return false; break; default: return false; } m_lastCommand = command; if (m_ptr >= m_end) return true; // Check for remaining coordinates in the current command. if ((*m_ptr == '+' || *m_ptr == '-' || *m_ptr == '.' || (*m_ptr >= '0' && *m_ptr <= '9')) && command != 'z' && command != 'Z') { if (command == 'M') command = 'L'; else if (command == 'm') command = 'l'; } else command = *(m_ptr++); if (m_lastCommand != 'C' && m_lastCommand != 'c' && m_lastCommand != 'S' && m_lastCommand != 's' && m_lastCommand != 'Q' && m_lastCommand != 'q' && m_lastCommand != 'T' && m_lastCommand != 't') m_controlPoint = m_currentPoint; } return false; } // This works by converting the SVG arc to "simple" beziers. // Partly adapted from Niko's code in kdelibs/kdecore/svgicons. // See also SVG implementation notes: http://www.w3.org/TR/SVG/implnote.html#ArcConversionEndpointToCenter bool SVGPathParser::decomposeArcToCubic(float angle, float rx, float ry, FloatPoint& point1, FloatPoint& point2, bool largeArcFlag, bool sweepFlag) { FloatSize midPointDistance = point1 - point2; midPointDistance.scale(0.5f); AffineTransform pointTransform; pointTransform.rotate(-angle); FloatPoint transformedMidPoint = pointTransform.mapPoint(FloatPoint(midPointDistance.width(), midPointDistance.height())); float squareRx = rx * rx; float squareRy = ry * ry; float squareX = transformedMidPoint.x() * transformedMidPoint.x(); float squareY = transformedMidPoint.y() * transformedMidPoint.y(); // Check if the radii are big enough to draw the arc, scale radii if not. // http://www.w3.org/TR/SVG/implnote.html#ArcCorrectionOutOfRangeRadii float radiiScale = squareX / squareRx + squareY / squareRy; if (radiiScale > 1) { rx *= sqrtf(radiiScale); ry *= sqrtf(radiiScale); } pointTransform.makeIdentity(); pointTransform.scale(1 / rx, 1 / ry); pointTransform.rotate(-angle); point1 = pointTransform.mapPoint(point1); point2 = pointTransform.mapPoint(point2); FloatSize delta = point2 - point1; float d = delta.width() * delta.width() + delta.height() * delta.height(); float scaleFactorSquared = std::max(1 / d - 0.25f, 0.f); float scaleFactor = sqrtf(scaleFactorSquared); if (sweepFlag == largeArcFlag) scaleFactor = -scaleFactor; delta.scale(scaleFactor); FloatPoint centerPoint = FloatPoint(0.5f * (point1.x() + point2.x()) - delta.height(), 0.5f * (point1.y() + point2.y()) + delta.width()); float theta1 = atan2f(point1.y() - centerPoint.y(), point1.x() - centerPoint.x()); float theta2 = atan2f(point2.y() - centerPoint.y(), point2.x() - centerPoint.x()); float thetaArc = theta2 - theta1; if (thetaArc < 0 && sweepFlag) thetaArc += 2 * piFloat; else if (thetaArc > 0 && !sweepFlag) thetaArc -= 2 * piFloat; pointTransform.makeIdentity(); pointTransform.rotate(angle); pointTransform.scale(rx, ry); // Some results of atan2 on some platform implementations are not exact enough. So that we get more // cubic curves than expected here. Adding 0.001f reduces the count of sgements to the correct count. int segments = ceilf(fabsf(thetaArc / (piOverTwoFloat + 0.001f))); for (int i = 0; i < segments; ++i) { float startTheta = theta1 + i * thetaArc / segments; float endTheta = theta1 + (i + 1) * thetaArc / segments; float t = (8 / 6.f) * tanf(0.25f * (endTheta - startTheta)); if (!isfinite(t)) return false; float sinStartTheta = sinf(startTheta); float cosStartTheta = cosf(startTheta); float sinEndTheta = sinf(endTheta); float cosEndTheta = cosf(endTheta); point1 = FloatPoint(cosStartTheta - t * sinStartTheta, sinStartTheta + t * cosStartTheta); point1.move(centerPoint.x(), centerPoint.y()); FloatPoint point3 = FloatPoint(cosEndTheta, sinEndTheta); point3.move(centerPoint.x(), centerPoint.y()); point2 = point3; point2.move(t * sinEndTheta, -t * cosEndTheta); m_consumer->curveToCubic(pointTransform.mapPoint(point1), pointTransform.mapPoint(point2), pointTransform.mapPoint(point3), AbsoluteCoordinates); } return true; } } #endif // ENABLE(SVG)