/* * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed with * this work for additional information regarding copyright ownership. * The ASF licenses this file to You under the Apache License, Version 2.0 * (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ /** * @author Denis M. Kishenko * @version $Revision$ */ package org.apache.harmony.awt.gl.render; import org.apache.harmony.awt.gl.MultiRectArea; public class JavaArcRasterizer { /** * Adds particular arc segment to mra */ static void addX0LineSeg(MultiRectArea mra, int[] line, int cx, int cy, int b, int start, int finish) { int x1 = 0; for(int i = 0; i < line.length; i++) { int x2 = line[i]; int y = cy + (b - i); if (x1 <= finish && x2 >= start) { mra.addRect(cx + Math.max(x1, start), y, cx + Math.min(x2, finish), y); } x1 = x2 + 1; } } static void addX1LineSeg(MultiRectArea mra, int[] line, int cx, int cy, int b, int start, int finish) { int x1 = 0; for(int i = 0; i < line.length; i++) { int x2 = line[i]; int y = cy - (b - i); if (x1 <= finish && x2 >= start) { mra.addRect(cx + Math.max(x1, start), y, cx + Math.min(x2, finish), y); } x1 = x2 + 1; } } static void addX2LineSeg(MultiRectArea mra, int[] line, int cx, int cy, int b, int start, int finish) { int x1 = 0; for(int i = 0; i < line.length; i++) { int x2 = line[i]; int y = cy - (b - i); if (x1 <= finish && x2 >= start) { mra.addRect(cx - Math.min(x2, finish), y, cx - Math.max(x1, start), y); } x1 = x2 + 1; } } static void addX3LineSeg(MultiRectArea mra, int[] line, int cx, int cy, int b, int start, int finish) { int x1 = 0; for(int i = 0; i < line.length; i++) { int x2 = line[i]; int y = cy + (b - i); if (x1 <= finish && x2 >= start) { mra.addRect(cx - Math.min(x2, finish), y, cx - Math.max(x1, start), y); } x1 = x2 + 1; } } static void addY0LineSeg(MultiRectArea mra, int[] line, int cx, int cy, int b, int start, int finish) { int y1 = 0; for(int i = 0; i < line.length; i++) { int x = cx + (b - i); int y2 = line[i]; if (y1 <= finish && y2 >= start) { mra.addRect(x, cy + Math.max(y1, start), x, cy + Math.min(y2, finish)); } y1 = y2 + 1; } } static void addY1LineSeg(MultiRectArea mra, int[] line, int cx, int cy, int b, int start, int finish) { int y1 = 0; for(int i = 0; i < line.length; i++) { int x = cx - (b - i); int y2 = line[i]; if (y1 <= finish && y2 >= start) { mra.addRect(x, cy + Math.max(y1, start), x, cy + Math.min(y2, finish)); } y1 = y2 + 1; } } static void addY2LineSeg(MultiRectArea mra, int[] line, int cx, int cy, int b, int start, int finish) { int y1 = 0; for(int i = 0; i < line.length; i++) { int x = cx - (b - i); int y2 = line[i]; if (y1 <= finish && y2 >= start) { mra.addRect(x, cy - Math.min(y2, finish), x, cy - Math.max(y1, start)); } y1 = y2 + 1; } } static void addY3LineSeg(MultiRectArea mra, int[] line, int cx, int cy, int b, int start, int finish) { int y1 = 0; for(int i = 0; i < line.length; i++) { int x = cx + (b - i); int y2 = line[i]; if (y1 <= finish && y2 >= start) { mra.addRect(x, cy - Math.min(y2, finish), x, cy - Math.max(y1, start)); } y1 = y2 + 1; } } static void addX0Line(MultiRectArea mra, int[] line, int cx, int cy, int b) { int prev = 0; for(int i = 0; i < line.length; i++) { mra.addRect(cx + prev, cy + (b - i), cx + line[i], cy + (b - i)); prev = line[i] + 1; } } static void addX1Line(MultiRectArea mra, int[] line, int cx, int cy, int b) { int prev = 0; for(int i = 0; i < line.length; i++) { mra.addRect(cx + prev, cy - (b - i), cx + line[i], cy - (b - i)); prev = line[i] + 1; } } static void addX2Line(MultiRectArea mra, int[] line, int cx, int cy, int b) { int prev = 0; for(int i = 0; i < line.length; i++) { mra.addRect(cx - line[i], cy - (b - i), cx - prev, cy - (b - i)); prev = line[i] + 1; } } static void addX3Line(MultiRectArea mra, int[] line, int cx, int cy, int b) { int prev = 0; for(int i = 0; i < line.length; i++) { mra.addRect(cx - line[i], cy + (b - i), cx - prev, cy + (b - i)); prev = line[i] + 1; } } static void addY0Line(MultiRectArea mra, int[] line, int cx, int cy, int a) { int prev = 0; for(int i = 0; i < line.length; i++) { mra.addRect(cx + (a - i), cy + prev, cx + (a - i), cy + line[i]); prev = line[i] + 1; } } static void addY1Line(MultiRectArea mra, int[] line, int cx, int cy, int a) { int prev = 0; for(int i = 0; i < line.length; i++) { mra.addRect(cx - (a - i), cy + prev, cx - (a - i), cy + line[i]); prev = line[i] + 1; } } static void addY2Line(MultiRectArea mra, int[] line, int cx, int cy, int a) { int prev = 0; for(int i = 0; i < line.length; i++) { mra.addRect(cx - (a - i), cy - line[i], cx - (a - i), cy - prev); prev = line[i] + 1; } } static void addY3Line(MultiRectArea mra, int[] line, int cx, int cy, int a) { int prev = 0; for(int i = 0; i < line.length; i++) { mra.addRect(cx + (a - i), cy - line[i], cx + (a - i), cy - prev); prev = line[i] + 1; } } /** * Returns normalized angle (from 0 to 360 degrees) */ static double getNormAngle(double angle) { angle -= Math.floor(angle / 360) * 360; if (angle < 0) { angle += 360; } return angle; } /** * Creates arc lookup table */ static int[] createLine(int a, int b, int xcount, int ycount) { int[] buf = new int[b - ycount + 1]; int d = a * a + 2 * b * b - 2 * a * a * b; int x = 0; int y = b; while (y >= ycount) { if (d < 0) { d = d + b * b * (4 * x + 6); } else { buf[b - y] = x; d = d + b * b * (4 * x + 6) + 4 * a * a * (1 - y); y--; } x++; } return buf; } /** * Adds head/tail arc segment to MultiRectArea */ static void addSeg(MultiRectArea mra, int cx1, int cy1, int cx2, int cy2, int a, int b, int[] xline, int[] yline, int[] bounds) { switch(bounds[0]) { case 0: addY3LineSeg(mra, yline, cx2, cy1, a, bounds[1], bounds[2]); break; case 1: addX1LineSeg(mra, xline, cx2, cy1, b, bounds[1], bounds[2]); break; case 2: addX2LineSeg(mra, xline, cx1, cy1, b, bounds[1], bounds[2]); break; case 3: addY2LineSeg(mra, yline, cx1, cy1, a, bounds[1], bounds[2]); break; case 4: addY1LineSeg(mra, yline, cx1, cy2, a, bounds[1], bounds[2]); break; case 5: addX3LineSeg(mra, xline, cx1, cy2, b, bounds[1], bounds[2]); break; case 6: addX0LineSeg(mra, xline, cx2, cy2, b, bounds[1], bounds[2]); break; case 7: addY0LineSeg(mra, yline, cx2, cy2, a, bounds[1], bounds[2]); break; } } /** * Returns bounds for non quadratic arc head */ static int[] getSegment1(double angle, int ax, int ay, int xcount, int ycount) { int[] bounds = new int[3]; switch((int)(angle / 90)) { case 0: if (xcount < ax) { bounds[0] = 0; // Y3 bounds[1] = -ay; bounds[2] = ycount; } else { bounds[0] = 1; // X1 bounds[1] = 0; bounds[2] = ax; } break; case 1: if (xcount > -ax) { bounds[0] = 2; // X2 bounds[1] = -ax; bounds[2] = xcount; } else { bounds[0] = 3; // Y2 bounds[1] = 0; bounds[2] = -ay; } break; case 2: if (xcount < -ax) { bounds[0] = 4; // Y1 bounds[1] = ay; bounds[2] = ycount; } else { bounds[0] = 5; // X3 bounds[1] = 0; bounds[2] = -ax; } break; case 3: if (xcount > ax) { bounds[0] = 6; // X0 bounds[1] = ax; bounds[2] = xcount; } else { bounds[0] = 7; // Y0 bounds[1] = 0; bounds[2] = ay; } break; } return bounds; } /** * Returns bounds for non quadratic arc tail */ static int[] getSegment2(double angle, int ax, int ay, int xcount, int ycount) { int[] bounds = new int[3]; switch((int)(angle / 90)) { case 0: if (xcount < ax) { bounds[0] = 0; // Y3 bounds[1] = 0; bounds[2] = -ay; } else { bounds[0] = 1; // X1 bounds[1] = ax; bounds[2] = xcount; } break; case 1: if (xcount > -ax) { bounds[0] = 2; // X2 bounds[1] = 0; bounds[2] = -ax; } else { bounds[0] = 3; // Y2 bounds[1] = -ay; bounds[2] = ycount; } break; case 2: if (xcount < -ax) { bounds[0] = 4; // Y1 bounds[1] = 0; bounds[2] = ay; } else { bounds[0] = 5; // X3 bounds[1] = -ax; bounds[2] = xcount; } break; case 3: if (xcount > ax) { bounds[0] = 6; // X0 bounds[1] = 0; bounds[2] = ax; } else { bounds[0] = 7; // Y0 bounds[1] = ay; bounds[2] = ycount; } break; } return bounds; } /** * Rasterizes arc using clippind and dashing style * @param x1 - the x coordinate of the left-upper corner of the arc bounds * @param y1 - the y coordinate of the left-upper corner of the arc bounds * @param width - the width of the arc bounds * @param height - the height of the arc bounds * @param angleStart - the start angle of the arc in degrees * @param angleExtent - the angle extent in degrees * @param clip - the MultiRectArea object of clipping area * @return a MultiRectArea of rasterizer arc */ public static MultiRectArea rasterize(int x, int y, int width, int height, double angleStart, double angleExtent, MultiRectArea clip) { MultiRectArea mra = new MultiRectArea(false); int cx1, cx2, cy1, cy2; cx1 = cx2 = x + width / 2; cy1 = cy2 = y + height / 2; if (width % 2 == 0) { cx2--; } if (height % 2 == 0) { cy2--; } int a = width / 2; int b = height / 2; double c = Math.sqrt(a * a + b * b); int xcount, ycount; if (a < b) { xcount = (int)Math.ceil(a * a / c); ycount = (int)Math.floor(b * b / c); } else { xcount = (int)Math.floor(a * a / c); ycount = (int)Math.ceil(b * b / c); } int[] xline = createLine(a, b, xcount, ycount); int[] yline = createLine(b, a, ycount, xcount); // Correct lines int i = xline.length; while(xline[--i] > xcount) { xline[i] = xcount; } i = yline.length; while(yline[--i] > ycount) { yline[i] = ycount; } if (Math.abs(angleExtent) >= 360) { // Rasterize CIRCLE addX0Line(mra, xline, cx2, cy2, b); addX1Line(mra, xline, cx2, cy1, b); addX2Line(mra, xline, cx1, cy1, b); addX3Line(mra, xline, cx1, cy2, b); addY0Line(mra, yline, cx2, cy2, a); addY1Line(mra, yline, cx1, cy2, a); addY2Line(mra, yline, cx1, cy1, a); addY3Line(mra, yline, cx2, cy1, a); } else { // Rasterize ARC angleStart = getNormAngle(angleStart); double angleFinish = getNormAngle(angleStart + angleExtent); if (angleExtent < 0) { double tmp = angleStart; angleStart = angleFinish; angleFinish = tmp; } double radStart = -Math.toRadians(angleStart); double radFinish = -Math.toRadians(angleFinish); int ax1 = (int)(a * Math.cos(radStart)); int ay1 = (int)(b * Math.sin(radStart)); int ax2 = (int)(a * Math.cos(radFinish)); int ay2 = (int)(b * Math.sin(radFinish)); int[] seg1 = getSegment1(angleStart, ax1, ay1, xcount, ycount); int[] seg2 = getSegment2(angleFinish, ax2, ay2, xcount, ycount); // Start and Finish located in the same quater if (angleStart < angleFinish && seg1[0] == seg2[0]) { if (seg1[0] % 2 == 0) { seg1[2] = seg2[2]; } else { seg1[1] = seg2[1]; } addSeg(mra, cx1, cy1, cx2, cy2, a, b, xline, yline, seg1); return mra; } addSeg(mra, cx1, cy1, cx2, cy2, a, b, xline, yline, seg1); addSeg(mra, cx1, cy1, cx2, cy2, a, b, xline, yline, seg2); int startSeg = (seg1[0] + 1) % 8; int finishSeg = seg2[0]; while (startSeg != finishSeg) { switch(startSeg) { case 0: addY3Line(mra, yline, cx2, cy1, a); break; case 1: addX1Line(mra, xline, cx2, cy1, b); break; case 2: addX2Line(mra, xline, cx1, cy1, b); break; case 3: addY2Line(mra, yline, cx1, cy1, a); break; case 4: addY1Line(mra, yline, cx1, cy2, a); break; case 5: addX3Line(mra, xline, cx1, cy2, b); break; case 6: addX0Line(mra, xline, cx2, cy2, b); break; case 7: addY0Line(mra, yline, cx2, cy2, a); break; } startSeg = (startSeg + 1) % 8; } } if (clip != null) { mra.intersect(clip); } return mra; } }