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686 lines
20 KiB
Java
686 lines
20 KiB
Java
/* -*- mode: java; c-basic-offset: 2; indent-tabs-mode: nil -*- */
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/*
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* Copyright (c) 2007, Oracle and/or its affiliates. All rights reserved.
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* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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*
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* This code is free software; you can redistribute it and/or modify it
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* under the terms of the GNU General Public License version 2 only, as
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* published by the Free Software Foundation. Oracle designates this
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* particular file as subject to the "Classpath" exception as provided
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* by Oracle in the LICENSE file that accompanied this code.
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*
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* This code is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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* version 2 for more details (a copy is included in the LICENSE file that
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* accompanied this code).
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*
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* You should have received a copy of the GNU General Public License version
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* 2 along with this work; if not, write to the Free Software Foundation,
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* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
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*
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* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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* or visit www.oracle.com if you need additional information or have any
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* questions.
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*/
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package processing.opengl;
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import processing.core.PMatrix2D;
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public class LineStroker {
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private LineStroker output;
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private int capStyle;
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private int joinStyle;
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private int m00, m01;
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private int m10, m11;
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private int lineWidth2;
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private long scaledLineWidth2;
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// For any pen offset (pen_dx, pen_dy) that does not depend on
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// the line orientation, the pen should be transformed so that:
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//
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// pen_dx' = m00*pen_dx + m01*pen_dy
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// pen_dy' = m10*pen_dx + m11*pen_dy
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//
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// For a round pen, this means:
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//
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// pen_dx(r, theta) = r*cos(theta)
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// pen_dy(r, theta) = r*sin(theta)
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//
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// pen_dx'(r, theta) = r*(m00*cos(theta) + m01*sin(theta))
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// pen_dy'(r, theta) = r*(m10*cos(theta) + m11*sin(theta))
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private int numPenSegments;
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private int[] pen_dx;
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private int[] pen_dy;
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private boolean[] penIncluded;
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private int[] join;
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private int[] offset = new int[2];
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private int[] reverse = new int[100];
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private int[] miter = new int[2];
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private long miterLimitSq;
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private int prev;
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private int rindex;
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private boolean started;
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private boolean lineToOrigin;
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private boolean joinToOrigin;
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private int sx0, sy0, sx1, sy1, x0, y0;
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private int scolor0, pcolor0, color0;
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private int mx0, my0, omx, omy;
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private int px0, py0;
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private double m00_2_m01_2;
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private double m10_2_m11_2;
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private double m00_m10_m01_m11;
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/**
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* Empty constructor. <code>setOutput</code> and <code>setParameters</code>
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* must be called prior to calling any other methods.
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*/
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public LineStroker() {
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}
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/**
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* Constructs a <code>LineStroker</code>.
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*
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* @param output
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* an output <code>LineStroker</code>.
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* @param lineWidth
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* the desired line width in pixels, in S15.16 format.
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* @param capStyle
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* the desired end cap style, one of <code>CAP_BUTT</code>,
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* <code>CAP_ROUND</code> or <code>CAP_SQUARE</code>.
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* @param joinStyle
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* the desired line join style, one of <code>JOIN_MITER</code>,
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* <code>JOIN_ROUND</code> or <code>JOIN_BEVEL</code>.
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* @param miterLimit
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* the desired miter limit, in S15.16 format.
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* @param transform
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* a <code>Transform4</code> object indicating the transform that has
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* been previously applied to all incoming coordinates. This is
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* required in order to produce consistently shaped end caps and
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* joins.
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*/
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public LineStroker(LineStroker output, int lineWidth, int capStyle, int joinStyle,
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int miterLimit, PMatrix2D transform) {
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setOutput(output);
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setParameters(lineWidth, capStyle, joinStyle, miterLimit, transform);
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}
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/**
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* Sets the output <code>LineStroker</code> of this <code>LineStroker</code>.
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*
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* @param output
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* an output <code>LineStroker</code>.
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*/
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public void setOutput(LineStroker output) {
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this.output = output;
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}
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/**
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* Sets the parameters of this <code>LineStroker</code>.
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*
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* @param lineWidth
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* the desired line width in pixels, in S15.16 format.
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* @param capStyle
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* the desired end cap style, one of <code>CAP_BUTT</code>,
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* <code>CAP_ROUND</code> or <code>CAP_SQUARE</code>.
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* @param joinStyle
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* the desired line join style, one of <code>JOIN_MITER</code>,
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* <code>JOIN_ROUND</code> or <code>JOIN_BEVEL</code>.
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* @param miterLimit
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* the desired miter limit, in S15.16 format.
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* @param transform
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* a <code>Transform4</code> object indicating the transform that has
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* been previously applied to all incoming coordinates. This is
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* required in order to produce consistently shaped end caps and
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* joins.
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*/
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public void setParameters(int lineWidth, int capStyle, int joinStyle,
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int miterLimit, PMatrix2D transform) {
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this.m00 = LinePath.FloatToS15_16(transform.m00);
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this.m01 = LinePath.FloatToS15_16(transform.m01);
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this.m10 = LinePath.FloatToS15_16(transform.m10);
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this.m11 = LinePath.FloatToS15_16(transform.m11);
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this.lineWidth2 = lineWidth >> 1;
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this.scaledLineWidth2 = ((long) m00 * lineWidth2) >> 16;
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this.capStyle = capStyle;
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this.joinStyle = joinStyle;
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this.m00_2_m01_2 = (double) m00 * m00 + (double) m01 * m01;
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this.m10_2_m11_2 = (double) m10 * m10 + (double) m11 * m11;
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this.m00_m10_m01_m11 = (double) m00 * m10 + (double) m01 * m11;
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double dm00 = m00 / 65536.0;
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double dm01 = m01 / 65536.0;
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double dm10 = m10 / 65536.0;
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double dm11 = m11 / 65536.0;
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double determinant = dm00 * dm11 - dm01 * dm10;
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if (joinStyle == LinePath.JOIN_MITER) {
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double limit = (miterLimit / 65536.0) * (lineWidth2 / 65536.0)
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* determinant;
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double limitSq = limit * limit;
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this.miterLimitSq = (long) (limitSq * 65536.0 * 65536.0);
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}
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this.numPenSegments = (int) (3.14159f * lineWidth / 65536.0f);
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if (pen_dx == null || pen_dx.length < numPenSegments) {
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this.pen_dx = new int[numPenSegments];
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this.pen_dy = new int[numPenSegments];
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this.penIncluded = new boolean[numPenSegments];
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this.join = new int[2 * numPenSegments];
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}
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for (int i = 0; i < numPenSegments; i++) {
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double r = lineWidth / 2.0;
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double theta = i * 2 * Math.PI / numPenSegments;
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double cos = Math.cos(theta);
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double sin = Math.sin(theta);
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pen_dx[i] = (int) (r * (dm00 * cos + dm01 * sin));
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pen_dy[i] = (int) (r * (dm10 * cos + dm11 * sin));
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}
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prev = LinePath.SEG_CLOSE;
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rindex = 0;
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started = false;
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lineToOrigin = false;
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}
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private void computeOffset(int x0, int y0, int x1, int y1, int[] m) {
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long lx = (long) x1 - (long) x0;
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long ly = (long) y1 - (long) y0;
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int dx, dy;
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if (m00 > 0 && m00 == m11 && m01 == 0 & m10 == 0) {
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long ilen = LinePath.hypot(lx, ly);
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if (ilen == 0) {
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dx = dy = 0;
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} else {
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dx = (int) ((ly * scaledLineWidth2) / ilen);
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dy = (int) (-(lx * scaledLineWidth2) / ilen);
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}
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} else {
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double dlx = x1 - x0;
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double dly = y1 - y0;
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double det = (double) m00 * m11 - (double) m01 * m10;
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int sdet = (det > 0) ? 1 : -1;
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double a = dly * m00 - dlx * m10;
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double b = dly * m01 - dlx * m11;
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double dh = LinePath.hypot(a, b);
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double div = sdet * lineWidth2 / (65536.0 * dh);
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double ddx = dly * m00_2_m01_2 - dlx * m00_m10_m01_m11;
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double ddy = dly * m00_m10_m01_m11 - dlx * m10_2_m11_2;
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dx = (int) (ddx * div);
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dy = (int) (ddy * div);
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}
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m[0] = dx;
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m[1] = dy;
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}
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private void ensureCapacity(int newrindex) {
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if (reverse.length < newrindex) {
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int[] tmp = new int[Math.max(newrindex, 6 * reverse.length / 5)];
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System.arraycopy(reverse, 0, tmp, 0, rindex);
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this.reverse = tmp;
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}
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}
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private boolean isCCW(int x0, int y0, int x1, int y1, int x2, int y2) {
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int dx0 = x1 - x0;
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int dy0 = y1 - y0;
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int dx1 = x2 - x1;
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int dy1 = y2 - y1;
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return (long) dx0 * dy1 < (long) dy0 * dx1;
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}
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private boolean side(int x, int y, int x0, int y0, int x1, int y1) {
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long lx = x;
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long ly = y;
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long lx0 = x0;
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long ly0 = y0;
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long lx1 = x1;
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long ly1 = y1;
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return (ly0 - ly1) * lx + (lx1 - lx0) * ly + (lx0 * ly1 - lx1 * ly0) > 0;
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}
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private int computeRoundJoin(int cx, int cy, int xa, int ya, int xb, int yb,
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int side, boolean flip, int[] join) {
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int px, py;
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int ncoords = 0;
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boolean centerSide;
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if (side == 0) {
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centerSide = side(cx, cy, xa, ya, xb, yb);
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} else {
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centerSide = (side == 1) ? true : false;
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}
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for (int i = 0; i < numPenSegments; i++) {
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px = cx + pen_dx[i];
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py = cy + pen_dy[i];
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boolean penSide = side(px, py, xa, ya, xb, yb);
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if (penSide != centerSide) {
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penIncluded[i] = true;
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} else {
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penIncluded[i] = false;
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}
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}
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int start = -1, end = -1;
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for (int i = 0; i < numPenSegments; i++) {
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if (penIncluded[i]
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&& !penIncluded[(i + numPenSegments - 1) % numPenSegments]) {
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start = i;
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}
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if (penIncluded[i] && !penIncluded[(i + 1) % numPenSegments]) {
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end = i;
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}
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}
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if (end < start) {
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end += numPenSegments;
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}
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if (start != -1 && end != -1) {
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long dxa = cx + pen_dx[start] - xa;
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long dya = cy + pen_dy[start] - ya;
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long dxb = cx + pen_dx[start] - xb;
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long dyb = cy + pen_dy[start] - yb;
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boolean rev = (dxa * dxa + dya * dya > dxb * dxb + dyb * dyb);
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int i = rev ? end : start;
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int incr = rev ? -1 : 1;
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while (true) {
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int idx = i % numPenSegments;
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px = cx + pen_dx[idx];
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py = cy + pen_dy[idx];
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join[ncoords++] = px;
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join[ncoords++] = py;
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if (i == (rev ? start : end)) {
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break;
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}
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i += incr;
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}
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}
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return ncoords / 2;
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}
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//private static final long ROUND_JOIN_THRESHOLD = 1000L;
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private static final long ROUND_JOIN_THRESHOLD = 100000000L;
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private static final long ROUND_JOIN_INTERNAL_THRESHOLD = 1000000000L;
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private void drawRoundJoin(int x, int y, int omx, int omy, int mx, int my,
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int side, int color,
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boolean flip, boolean rev, long threshold) {
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if ((omx == 0 && omy == 0) || (mx == 0 && my == 0)) {
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return;
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}
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long domx = (long) omx - mx;
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long domy = (long) omy - my;
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long len = domx * domx + domy * domy;
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if (len < threshold) {
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return;
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}
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if (rev) {
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omx = -omx;
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omy = -omy;
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mx = -mx;
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my = -my;
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}
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int bx0 = x + omx;
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int by0 = y + omy;
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int bx1 = x + mx;
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int by1 = y + my;
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int npoints = computeRoundJoin(x, y, bx0, by0, bx1, by1, side, flip, join);
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for (int i = 0; i < npoints; i++) {
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emitLineTo(join[2 * i], join[2 * i + 1], color, rev);
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}
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}
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// Return the intersection point of the lines (ix0, iy0) -> (ix1, iy1)
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// and (ix0p, iy0p) -> (ix1p, iy1p) in m[0] and m[1]
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private void computeMiter(int ix0, int iy0, int ix1, int iy1, int ix0p,
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int iy0p, int ix1p, int iy1p, int[] m) {
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long x0 = ix0;
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long y0 = iy0;
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long x1 = ix1;
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long y1 = iy1;
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long x0p = ix0p;
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long y0p = iy0p;
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long x1p = ix1p;
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long y1p = iy1p;
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long x10 = x1 - x0;
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long y10 = y1 - y0;
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long x10p = x1p - x0p;
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long y10p = y1p - y0p;
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long den = (x10 * y10p - x10p * y10) >> 16;
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if (den == 0) {
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m[0] = ix0;
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m[1] = iy0;
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return;
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}
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long t = (x1p * (y0 - y0p) - x0 * y10p + x0p * (y1p - y0)) >> 16;
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m[0] = (int) (x0 + (t * x10) / den);
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m[1] = (int) (y0 + (t * y10) / den);
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}
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private void drawMiter(int px0, int py0, int x0, int y0, int x1, int y1,
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int omx, int omy, int mx, int my, int color,
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boolean rev) {
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if (mx == omx && my == omy) {
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return;
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}
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if (px0 == x0 && py0 == y0) {
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return;
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}
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if (x0 == x1 && y0 == y1) {
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return;
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}
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if (rev) {
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omx = -omx;
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omy = -omy;
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mx = -mx;
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my = -my;
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}
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computeMiter(px0 + omx, py0 + omy, x0 + omx, y0 + omy, x0 + mx, y0 + my, x1
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+ mx, y1 + my, miter);
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// Compute miter length in untransformed coordinates
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long dx = (long) miter[0] - x0;
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long dy = (long) miter[1] - y0;
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long a = (dy * m00 - dx * m10) >> 16;
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long b = (dy * m01 - dx * m11) >> 16;
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long lenSq = a * a + b * b;
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if (lenSq < miterLimitSq) {
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emitLineTo(miter[0], miter[1], color, rev);
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}
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}
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public void moveTo(int x0, int y0, int c0) {
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// System.out.println("LineStroker.moveTo(" + x0/65536.0 + ", " + y0/65536.0 + ")");
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if (lineToOrigin) {
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// not closing the path, do the previous lineTo
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lineToImpl(sx0, sy0, scolor0, joinToOrigin);
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lineToOrigin = false;
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}
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if (prev == LinePath.SEG_LINETO) {
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finish();
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}
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this.sx0 = this.x0 = x0;
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this.sy0 = this.y0 = y0;
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this.scolor0 = this.color0 = c0;
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this.rindex = 0;
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this.started = false;
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this.joinSegment = false;
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this.prev = LinePath.SEG_MOVETO;
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}
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boolean joinSegment = false;
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public void lineJoin() {
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// System.out.println("LineStroker.lineJoin()");
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this.joinSegment = true;
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}
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public void lineTo(int x1, int y1, int c1) {
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// System.out.println("LineStroker.lineTo(" + x1/65536.0 + ", " + y1/65536.0 + ")");
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if (lineToOrigin) {
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if (x1 == sx0 && y1 == sy0) {
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// staying in the starting point
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return;
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}
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// not closing the path, do the previous lineTo
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lineToImpl(sx0, sy0, scolor0, joinToOrigin);
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lineToOrigin = false;
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} else if (x1 == x0 && y1 == y0) {
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return;
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} else if (x1 == sx0 && y1 == sy0) {
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lineToOrigin = true;
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joinToOrigin = joinSegment;
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joinSegment = false;
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return;
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}
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lineToImpl(x1, y1, c1, joinSegment);
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joinSegment = false;
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}
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private void lineToImpl(int x1, int y1, int c1, boolean joinSegment) {
|
|
computeOffset(x0, y0, x1, y1, offset);
|
|
int mx = offset[0];
|
|
int my = offset[1];
|
|
|
|
if (!started) {
|
|
emitMoveTo(x0 + mx, y0 + my, color0);
|
|
this.sx1 = x1;
|
|
this.sy1 = y1;
|
|
this.mx0 = mx;
|
|
this.my0 = my;
|
|
started = true;
|
|
} else {
|
|
boolean ccw = isCCW(px0, py0, x0, y0, x1, y1);
|
|
if (joinSegment) {
|
|
if (joinStyle == LinePath.JOIN_MITER) {
|
|
drawMiter(px0, py0, x0, y0, x1, y1, omx, omy, mx, my, color0, ccw);
|
|
} else if (joinStyle == LinePath.JOIN_ROUND) {
|
|
drawRoundJoin(x0, y0, omx, omy, mx, my, 0, color0, false, ccw,
|
|
ROUND_JOIN_THRESHOLD);
|
|
}
|
|
} else {
|
|
// Draw internal joins as round
|
|
drawRoundJoin(x0, y0, omx, omy, mx, my, 0, color0, false, ccw,
|
|
ROUND_JOIN_INTERNAL_THRESHOLD);
|
|
}
|
|
|
|
emitLineTo(x0, y0, color0, !ccw);
|
|
}
|
|
|
|
emitLineTo(x0 + mx, y0 + my, color0, false);
|
|
emitLineTo(x1 + mx, y1 + my, c1, false);
|
|
|
|
emitLineTo(x0 - mx, y0 - my, color0, true);
|
|
emitLineTo(x1 - mx, y1 - my, c1, true);
|
|
|
|
this.omx = mx;
|
|
this.omy = my;
|
|
this.px0 = x0;
|
|
this.py0 = y0;
|
|
this.pcolor0 = color0;
|
|
this.x0 = x1;
|
|
this.y0 = y1;
|
|
this.color0 = c1;
|
|
this.prev = LinePath.SEG_LINETO;
|
|
}
|
|
|
|
public void close() {
|
|
if (lineToOrigin) {
|
|
// ignore the previous lineTo
|
|
lineToOrigin = false;
|
|
}
|
|
|
|
if (!started) {
|
|
finish();
|
|
return;
|
|
}
|
|
|
|
computeOffset(x0, y0, sx0, sy0, offset);
|
|
int mx = offset[0];
|
|
int my = offset[1];
|
|
|
|
// Draw penultimate join
|
|
boolean ccw = isCCW(px0, py0, x0, y0, sx0, sy0);
|
|
if (joinSegment) {
|
|
if (joinStyle == LinePath.JOIN_MITER) {
|
|
drawMiter(px0, py0, x0, y0, sx0, sy0, omx, omy, mx, my, pcolor0, ccw);
|
|
} else if (joinStyle == LinePath.JOIN_ROUND) {
|
|
drawRoundJoin(x0, y0, omx, omy, mx, my, 0, color0, false, ccw,
|
|
ROUND_JOIN_THRESHOLD);
|
|
}
|
|
} else {
|
|
// Draw internal joins as round
|
|
drawRoundJoin(x0, y0, omx, omy, mx, my, 0, color0, false, ccw,
|
|
ROUND_JOIN_INTERNAL_THRESHOLD);
|
|
}
|
|
|
|
emitLineTo(x0 + mx, y0 + my, color0);
|
|
emitLineTo(sx0 + mx, sy0 + my, scolor0);
|
|
|
|
ccw = isCCW(x0, y0, sx0, sy0, sx1, sy1);
|
|
|
|
// Draw final join on the outside
|
|
if (!ccw) {
|
|
if (joinStyle == LinePath.JOIN_MITER) {
|
|
drawMiter(x0, y0, sx0, sy0, sx1, sy1, mx, my, mx0, my0, color0, false);
|
|
} else if (joinStyle == LinePath.JOIN_ROUND) {
|
|
drawRoundJoin(sx0, sy0, mx, my, mx0, my0, 0, scolor0, false, false,
|
|
ROUND_JOIN_THRESHOLD);
|
|
}
|
|
}
|
|
|
|
emitLineTo(sx0 + mx0, sy0 + my0, scolor0);
|
|
emitLineTo(sx0 - mx0, sy0 - my0, scolor0); // same as reverse[0], reverse[1]
|
|
|
|
// Draw final join on the inside
|
|
if (ccw) {
|
|
if (joinStyle == LinePath.JOIN_MITER) {
|
|
drawMiter(x0, y0, sx0, sy0, sx1, sy1, -mx, -my, -mx0, -my0, color0,
|
|
false);
|
|
} else if (joinStyle == LinePath.JOIN_ROUND) {
|
|
drawRoundJoin(sx0, sy0, -mx, -my, -mx0, -my0, 0, scolor0, true, false,
|
|
ROUND_JOIN_THRESHOLD);
|
|
}
|
|
}
|
|
|
|
emitLineTo(sx0 - mx, sy0 - my, scolor0);
|
|
emitLineTo(x0 - mx, y0 - my, color0);
|
|
for (int i = rindex - 3; i >= 0; i -= 3) {
|
|
emitLineTo(reverse[i], reverse[i + 1], reverse[i + 2]);
|
|
}
|
|
|
|
this.x0 = this.sx0;
|
|
this.y0 = this.sy0;
|
|
this.rindex = 0;
|
|
this.started = false;
|
|
this.joinSegment = false;
|
|
this.prev = LinePath.SEG_CLOSE;
|
|
emitClose();
|
|
}
|
|
|
|
public void end() {
|
|
if (lineToOrigin) {
|
|
// not closing the path, do the previous lineTo
|
|
lineToImpl(sx0, sy0, scolor0, joinToOrigin);
|
|
lineToOrigin = false;
|
|
}
|
|
|
|
if (prev == LinePath.SEG_LINETO) {
|
|
finish();
|
|
}
|
|
|
|
output.end();
|
|
this.joinSegment = false;
|
|
this.prev = LinePath.SEG_MOVETO;
|
|
}
|
|
|
|
long lineLength(long ldx, long ldy) {
|
|
long ldet = ((long) m00 * m11 - (long) m01 * m10) >> 16;
|
|
long la = (ldy * m00 - ldx * m10) / ldet;
|
|
long lb = (ldy * m01 - ldx * m11) / ldet;
|
|
long llen = (int) LinePath.hypot(la, lb);
|
|
return llen;
|
|
}
|
|
|
|
private void finish() {
|
|
if (capStyle == LinePath.CAP_ROUND) {
|
|
drawRoundJoin(x0, y0, omx, omy, -omx, -omy, 1, color0, false, false,
|
|
ROUND_JOIN_THRESHOLD);
|
|
} else if (capStyle == LinePath.CAP_SQUARE) {
|
|
long ldx = px0 - x0;
|
|
long ldy = py0 - y0;
|
|
long llen = lineLength(ldx, ldy);
|
|
if (0 < llen) {
|
|
long s = (long) lineWidth2 * 65536 / llen;
|
|
|
|
int capx = x0 - (int) (ldx * s >> 16);
|
|
int capy = y0 - (int) (ldy * s >> 16);
|
|
|
|
emitLineTo(capx + omx, capy + omy, color0);
|
|
emitLineTo(capx - omx, capy - omy, color0);
|
|
}
|
|
}
|
|
|
|
for (int i = rindex - 3; i >= 0; i -= 3) {
|
|
emitLineTo(reverse[i], reverse[i + 1], reverse[i + 2]);
|
|
}
|
|
this.rindex = 0;
|
|
|
|
if (capStyle == LinePath.CAP_ROUND) {
|
|
drawRoundJoin(sx0, sy0, -mx0, -my0, mx0, my0, 1, scolor0, false, false,
|
|
ROUND_JOIN_THRESHOLD);
|
|
} else if (capStyle == LinePath.CAP_SQUARE) {
|
|
long ldx = sx1 - sx0;
|
|
long ldy = sy1 - sy0;
|
|
long llen = lineLength(ldx, ldy);
|
|
if (0 < llen) {
|
|
long s = (long) lineWidth2 * 65536 / llen;
|
|
|
|
int capx = sx0 - (int) (ldx * s >> 16);
|
|
int capy = sy0 - (int) (ldy * s >> 16);
|
|
|
|
emitLineTo(capx - mx0, capy - my0, scolor0);
|
|
emitLineTo(capx + mx0, capy + my0, scolor0);
|
|
}
|
|
}
|
|
|
|
emitClose();
|
|
this.joinSegment = false;
|
|
}
|
|
|
|
private void emitMoveTo(int x0, int y0, int c0) {
|
|
output.moveTo(x0, y0, c0);
|
|
}
|
|
|
|
private void emitLineTo(int x1, int y1, int c1) {
|
|
output.lineTo(x1, y1, c1);
|
|
}
|
|
|
|
private void emitLineTo(int x1, int y1, int c1, boolean rev) {
|
|
if (rev) {
|
|
ensureCapacity(rindex + 3);
|
|
reverse[rindex++] = x1;
|
|
reverse[rindex++] = y1;
|
|
reverse[rindex++] = c1;
|
|
} else {
|
|
emitLineTo(x1, y1, c1);
|
|
}
|
|
}
|
|
|
|
private void emitClose() {
|
|
output.close();
|
|
}
|
|
}
|