390 lines
15 KiB
Java
390 lines
15 KiB
Java
/*
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* Copyright (C) 2015 The Android Open Source Project
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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package com.android.ide.common.vectordrawable;
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import java.awt.geom.Path2D;
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import java.util.logging.Level;
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import java.util.logging.Logger;
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/**
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* Given an array of VdPath.Node, generate a Path2D object.
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* In another word, this is the engine which converts the pathData into
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* a Path2D object, which is able to draw on Swing components.
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* The logic and math here are the same as PathParser.java in framework.
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*/
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class VdNodeRender {
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private static Logger logger = Logger.getLogger(VdNodeRender.class
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.getSimpleName());
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public static void creatPath(VdPath.Node[] node, Path2D path) {
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float[] current = new float[6];
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char lastCmd = ' ';
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for (int i = 0; i < node.length; i++) {
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addCommand(path, current, node[i].type, lastCmd,node[i].params);
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lastCmd = node[i].type;
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}
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}
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private static void addCommand(Path2D path, float[] current, char cmd,
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char lastCmd, float[] val) {
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int incr = 2;
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float cx = current[0];
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float cy = current[1];
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float cpx = current[2];
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float cpy = current[3];
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float loopX = current[4];
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float loopY = current[5];
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switch (cmd) {
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case 'z':
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case 'Z':
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path.closePath();
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cx = loopX;
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cy = loopY;
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case 'm':
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case 'M':
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case 'l':
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case 'L':
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case 't':
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case 'T':
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incr = 2;
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break;
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case 'h':
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case 'H':
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case 'v':
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case 'V':
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incr = 1;
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break;
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case 'c':
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case 'C':
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incr = 6;
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break;
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case 's':
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case 'S':
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case 'q':
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case 'Q':
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incr = 4;
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break;
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case 'a':
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case 'A':
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incr = 7;
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}
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for (int k = 0; k < val.length; k += incr) {
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boolean reflectCtrl = false;
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float tempReflectedX, tempReflectedY;
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switch (cmd) {
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case 'm':
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cx += val[k + 0];
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cy += val[k + 1];
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path.moveTo(cx, cy);
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loopX = cx;
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loopY = cy;
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break;
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case 'M':
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cx = val[k + 0];
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cy = val[k + 1];
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path.moveTo(cx, cy);
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loopX = cx;
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loopY = cy;
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break;
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case 'l':
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cx += val[k + 0];
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cy += val[k + 1];
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path.lineTo(cx, cy);
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break;
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case 'L':
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cx = val[k + 0];
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cy = val[k + 1];
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path.lineTo(cx, cy);
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break;
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case 'z':
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case 'Z':
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path.closePath();
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cx = loopX;
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cy = loopY;
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break;
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case 'h':
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cx += val[k + 0];
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path.lineTo(cx, cy);
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break;
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case 'H':
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path.lineTo(val[k + 0], cy);
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cx = val[k + 0];
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break;
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case 'v':
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cy += val[k + 0];
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path.lineTo(cx, cy);
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break;
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case 'V':
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path.lineTo(cx, val[k + 0]);
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cy = val[k + 0];
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break;
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case 'c':
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path.curveTo(cx + val[k + 0], cy + val[k + 1], cx + val[k + 2],
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cy + val[k + 3], cx + val[k + 4], cy + val[k + 5]);
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cpx = cx + val[k + 2];
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cpy = cy + val[k + 3];
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cx += val[k + 4];
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cy += val[k + 5];
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break;
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case 'C':
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path.curveTo(val[k + 0], val[k + 1], val[k + 2], val[k + 3],
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val[k + 4], val[k + 5]);
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cx = val[k + 4];
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cy = val[k + 5];
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cpx = val[k + 2];
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cpy = val[k + 3];
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break;
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case 's':
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reflectCtrl = (lastCmd == 'c' || lastCmd == 's' || lastCmd == 'C' || lastCmd == 'S');
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path.curveTo(reflectCtrl ? 2 * cx - cpx : cx, reflectCtrl ? 2
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* cy - cpy : cy, cx + val[k + 0], cy + val[k + 1], cx
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+ val[k + 2], cy + val[k + 3]);
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cpx = cx + val[k + 0];
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cpy = cy + val[k + 1];
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cx += val[k + 2];
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cy += val[k + 3];
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break;
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case 'S':
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reflectCtrl = (lastCmd == 'c' || lastCmd == 's' || lastCmd == 'C' || lastCmd == 'S');
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path.curveTo(reflectCtrl ? 2 * cx - cpx : cx, reflectCtrl ? 2
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* cy - cpy : cy, val[k + 0], val[k + 1], val[k + 2],
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val[k + 3]);
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cpx = (val[k + 0]);
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cpy = (val[k + 1]);
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cx = val[k + 2];
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cy = val[k + 3];
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break;
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case 'q':
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path.quadTo(cx + val[k + 0], cy + val[k + 1], cx + val[k + 2],
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cy + val[k + 3]);
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cpx = cx + val[k + 0];
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cpy = cy + val[k + 1];
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// Note that we have to update cpx first, since cx will be updated here.
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cx += val[k + 2];
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cy += val[k + 3];
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break;
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case 'Q':
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path.quadTo(val[k + 0], val[k + 1], val[k + 2], val[k + 3]);
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cx = val[k + 2];
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cy = val[k + 3];
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cpx = val[k + 0];
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cpy = val[k + 1];
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break;
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case 't':
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reflectCtrl = (lastCmd == 'q' || lastCmd == 't' || lastCmd == 'Q' || lastCmd == 'T');
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tempReflectedX = reflectCtrl ? 2 * cx - cpx : cx;
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tempReflectedY = reflectCtrl ? 2 * cy - cpy : cy;
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path.quadTo(tempReflectedX, tempReflectedY, cx + val[k + 0], cy + val[k + 1]);
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cpx = tempReflectedX;
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cpy = tempReflectedY;
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cx += val[k + 0];
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cy += val[k + 1];
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break;
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case 'T':
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reflectCtrl = (lastCmd == 'q' || lastCmd == 't' || lastCmd == 'Q' || lastCmd == 'T');
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tempReflectedX = reflectCtrl ? 2 * cx - cpx : cx;
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tempReflectedY = reflectCtrl ? 2 * cy - cpy : cy;
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path.quadTo(tempReflectedX, tempReflectedY, val[k + 0], val[k + 1]);
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cx = val[k + 0];
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cy = val[k + 1];
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cpx = tempReflectedX;
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cpy = tempReflectedY;
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break;
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case 'a':
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// (rx ry x-axis-rotation large-arc-flag sweep-flag x y)
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drawArc(path, cx, cy, val[k + 5] + cx, val[k + 6] + cy,
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val[k + 0], val[k + 1], val[k + 2], val[k + 3] != 0,
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val[k + 4] != 0);
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cx += val[k + 5];
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cy += val[k + 6];
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cpx = cx;
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cpy = cy;
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break;
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case 'A':
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drawArc(path, cx, cy, val[k + 5], val[k + 6], val[k + 0],
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val[k + 1], val[k + 2], val[k + 3] != 0,
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val[k + 4] != 0);
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cx = val[k + 5];
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cy = val[k + 6];
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cpx = cx;
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cpy = cy;
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break;
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}
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lastCmd = cmd;
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}
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current[0] = cx;
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current[1] = cy;
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current[2] = cpx;
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current[3] = cpy;
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current[4] = loopX;
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current[5] = loopY;
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}
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private static void drawArc(Path2D p, float x0, float y0, float x1,
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float y1, float a, float b, float theta, boolean isMoreThanHalf,
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boolean isPositiveArc) {
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logger.log(Level.FINE, "(" + x0 + "," + y0 + ")-(" + x1 + "," + y1
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+ ") {" + a + " " + b + "}");
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/* Convert rotation angle from degrees to radians */
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double thetaD = theta * Math.PI / 180.0f;
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/* Pre-compute rotation matrix entries */
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double cosTheta = Math.cos(thetaD);
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double sinTheta = Math.sin(thetaD);
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/* Transform (x0, y0) and (x1, y1) into unit space */
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/* using (inverse) rotation, followed by (inverse) scale */
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double x0p = (x0 * cosTheta + y0 * sinTheta) / a;
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double y0p = (-x0 * sinTheta + y0 * cosTheta) / b;
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double x1p = (x1 * cosTheta + y1 * sinTheta) / a;
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double y1p = (-x1 * sinTheta + y1 * cosTheta) / b;
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logger.log(Level.FINE, "unit space (" + x0p + "," + y0p + ")-(" + x1p
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+ "," + y1p + ")");
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/* Compute differences and averages */
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double dx = x0p - x1p;
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double dy = y0p - y1p;
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double xm = (x0p + x1p) / 2;
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double ym = (y0p + y1p) / 2;
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/* Solve for intersecting unit circles */
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double dsq = dx * dx + dy * dy;
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if (dsq == 0.0) {
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logger.log(Level.FINE, " Points are coincident");
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return; /* Points are coincident */
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}
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double disc = 1.0 / dsq - 1.0 / 4.0;
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if (disc < 0.0) {
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logger.log(Level.FINE, "Points are too far apart " + dsq);
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float adjust = (float) (Math.sqrt(dsq) / 1.99999);
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drawArc(p, x0, y0, x1, y1, a * adjust, b * adjust, theta,
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isMoreThanHalf, isPositiveArc);
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return; /* Points are too far apart */
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}
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double s = Math.sqrt(disc);
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double sdx = s * dx;
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double sdy = s * dy;
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double cx;
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double cy;
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if (isMoreThanHalf == isPositiveArc) {
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cx = xm - sdy;
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cy = ym + sdx;
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} else {
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cx = xm + sdy;
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cy = ym - sdx;
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}
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double eta0 = Math.atan2((y0p - cy), (x0p - cx));
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logger.log(Level.FINE, "eta0 = Math.atan2( " + (y0p - cy) + " , "
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+ (x0p - cx) + ") = " + Math.toDegrees(eta0));
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double eta1 = Math.atan2((y1p - cy), (x1p - cx));
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logger.log(Level.FINE, "eta1 = Math.atan2( " + (y1p - cy) + " , "
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+ (x1p - cx) + ") = " + Math.toDegrees(eta1));
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double sweep = (eta1 - eta0);
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if (isPositiveArc != (sweep >= 0)) {
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if (sweep > 0) {
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sweep -= 2 * Math.PI;
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} else {
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sweep += 2 * Math.PI;
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}
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}
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cx *= a;
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cy *= b;
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double tcx = cx;
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cx = cx * cosTheta - cy * sinTheta;
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cy = tcx * sinTheta + cy * cosTheta;
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logger.log(
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Level.FINE,
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"cx, cy, a, b, x0, y0, thetaD, eta0, sweep = " + cx + " , "
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+ cy + " , " + a + " , " + b + " , " + x0 + " , " + y0
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+ " , " + Math.toDegrees(thetaD) + " , "
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+ Math.toDegrees(eta0) + " , " + Math.toDegrees(sweep));
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arcToBezier(p, cx, cy, a, b, x0, y0, thetaD, eta0, sweep);
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}
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/**
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* Converts an arc to cubic Bezier segments and records them in p.
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*
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* @param p The target for the cubic Bezier segments
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* @param cx The x coordinate center of the ellipse
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* @param cy The y coordinate center of the ellipse
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* @param a The radius of the ellipse in the horizontal direction
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* @param b The radius of the ellipse in the vertical direction
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* @param e1x E(eta1) x coordinate of the starting point of the arc
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* @param e1y E(eta2) y coordinate of the starting point of the arc
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* @param theta The angle that the ellipse bounding rectangle makes with the horizontal plane
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* @param start The start angle of the arc on the ellipse
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* @param sweep The angle (positive or negative) of the sweep of the arc on the ellipse
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*/
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private static void arcToBezier(Path2D p, double cx, double cy, double a,
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double b, double e1x, double e1y, double theta, double start,
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double sweep) {
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// Taken from equations at:
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// http://spaceroots.org/documents/ellipse/node8.html
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// and http://www.spaceroots.org/documents/ellipse/node22.html
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// Maximum of 45 degrees per cubic Bezier segment
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int numSegments = Math.abs((int) Math.ceil(sweep * 4 / Math.PI));
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double eta1 = start;
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double cosTheta = Math.cos(theta);
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double sinTheta = Math.sin(theta);
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double cosEta1 = Math.cos(eta1);
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double sinEta1 = Math.sin(eta1);
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double ep1x = (-a * cosTheta * sinEta1) - (b * sinTheta * cosEta1);
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double ep1y = (-a * sinTheta * sinEta1) + (b * cosTheta * cosEta1);
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double anglePerSegment = sweep / numSegments;
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for (int i = 0; i < numSegments; i++) {
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double eta2 = eta1 + anglePerSegment;
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double sinEta2 = Math.sin(eta2);
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double cosEta2 = Math.cos(eta2);
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double e2x = cx + (a * cosTheta * cosEta2)
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- (b * sinTheta * sinEta2);
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double e2y = cy + (a * sinTheta * cosEta2)
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+ (b * cosTheta * sinEta2);
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double ep2x = -a * cosTheta * sinEta2 - b * sinTheta * cosEta2;
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double ep2y = -a * sinTheta * sinEta2 + b * cosTheta * cosEta2;
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double tanDiff2 = Math.tan((eta2 - eta1) / 2);
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double alpha = Math.sin(eta2 - eta1)
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* (Math.sqrt(4 + (3 * tanDiff2 * tanDiff2)) - 1) / 3;
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double q1x = e1x + alpha * ep1x;
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double q1y = e1y + alpha * ep1y;
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double q2x = e2x - alpha * ep2x;
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double q2y = e2y - alpha * ep2y;
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p.curveTo((float) q1x, (float) q1y, (float) q2x, (float) q2y,
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(float) e2x, (float) e2y);
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eta1 = eta2;
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e1x = e2x;
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e1y = e2y;
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ep1x = ep2x;
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ep1y = ep2y;
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}
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}
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}
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