957 lines
30 KiB
JavaScript
957 lines
30 KiB
JavaScript
// Copyright 2011 David Galles, University of San Francisco. All rights reserved.
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//
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// Redistribution and use in source and binary forms, with or without modification, are
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// permitted provided that the following conditions are met:
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//
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// 1. Redistributions of source code must retain the above copyright notice, this list of
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// conditions and the following disclaimer.
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//
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// 2. Redistributions in binary form must reproduce the above copyright notice, this list
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// of conditions and the following disclaimer in the documentation and/or other materials
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// provided with the distribution.
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//
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// THIS SOFTWARE IS PROVIDED BY David Galles ``AS IS'' AND ANY EXPRESS OR IMPLIED
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// WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
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// FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL David Galles OR
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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// SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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// ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
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// ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// The views and conclusions contained in the software and documentation are those of the
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// authors and should not be interpreted as representing official policies, either expressed
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// or implied, of the University of San Francisco
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function RotateTranslate2D(am, w, h)
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{
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this.init(am, w, h);
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}
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RotateTranslate2D.prototype = new Algorithm();
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RotateTranslate2D.prototype.constructor = RotateTranslate2D;
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RotateTranslate2D.superclass = Algorithm.prototype;
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RotateTranslate2D.XAxisYPos = 300;
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RotateTranslate2D.XAxisStart = 100;
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RotateTranslate2D.XAxisEnd = 700;
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RotateTranslate2D.MATRIX_ELEM_WIDTH = 50;
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RotateTranslate2D.MATRIX_ELEM_HEIGHT = 20;
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RotateTranslate2D.MATRIX_MULTIPLY_SPACING = 10;
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RotateTranslate2D.EQUALS_SPACING = 30;
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RotateTranslate2D.MATRIX_START_X = 10 + 3 * RotateTranslate2D.MATRIX_ELEM_WIDTH + RotateTranslate2D.MATRIX_MULTIPLY_SPACING;
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RotateTranslate2D.MATRIX_START_Y = 10;
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RotateTranslate2D.YAxisXPos = 400;
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RotateTranslate2D.YAxisStart = 100;
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RotateTranslate2D.YAxisEnd = 500;
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RotateTranslate2D.OBJECTS = [
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[[100, 100], [-100, 100], [-100,-100], [100, -100]], // Square
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[[10, 100], [-10, 100], [-10,-100], [100, -100], [100, -80], [10,-80]], // L
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[[0, 141], [-134, 44], [-83, -114 ], [83, -114], [134,44]], // Pentagon
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[[0, 141], [-35,48],[-134, 44], [-57, -19], [-83, -114 ], [0, -60],[83,-114], [57, -19], [134,44], [35, 48]], // Star
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]
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RotateTranslate2D.AXIS_COLOR = "#9999FF"
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RotateTranslate2D.LOCAL_VERTEX_FOREGORUND_COLOR = "#000000";
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RotateTranslate2D.LOCAL_VERTEX_BACKGROUND_COLOR = RotateTranslate2D.LOCAL_VERTEX_FOREGORUND_COLOR;
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RotateTranslate2D.LOCAL_EDGE_COLOR = "#000000";
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RotateTranslate2D.GLOBAL_VERTEX_FOREGORUND_COLOR = "#00FF00";
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RotateTranslate2D.GLOBAL_VERTEX_BACKGROUND_COLOR = RotateTranslate2D.GLOBAL_VERTEX_FOREGORUND_COLOR;
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RotateTranslate2D.GLOBAL_EDGE_COLOR = "#00FF00";
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RotateTranslate2D.TRANSFORMED_VERTEX_FOREGORUND_COLOR = "#66FF66";
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RotateTranslate2D.TRANSFORMED_VERTEX_BACKGROUND_COLOR = RotateTranslate2D.TRANSFORMED_VERTEX_FOREGORUND_COLOR;
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RotateTranslate2D.TRANSFORMED_EDGE_COLOR = "#66FF66";
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RotateTranslate2D.VECTOR_COLOR = "#FF0000";
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RotateTranslate2D.VERTEX_WIDTH = 3;
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RotateTranslate2D.VERTEX_HEIGHT = RotateTranslate2D.VERTEX_WIDTH;
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RotateTranslate2D.prototype.init = function(am, w, h)
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{
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var sc = RotateTranslate2D.superclass.init.call(this, am, w, h);
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this.rowMajor = true;
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this.posYUp = true;
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this.rotateFirst = true;
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this.addControls();
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this.currentShape = 0;
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this.commands = [];
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this.nextIndex = 0;
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this.setupAxis();
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this.transformMatrix = this.createMatrix([[1, 0, 0], [ 0, 1, 0], [0, 0, 1]], RotateTranslate2D.MATRIX_START_X, RotateTranslate2D.MATRIX_START_Y);
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this.savedNextIndex = this.nextIndex;
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this.setupObject();
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this.setupObjectGraphic();
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this.animationManager.StartNewAnimation(this.commands);
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this.animationManager.skipForward();
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this.animationManager.clearHistory();
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this.clearHistory();
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}
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RotateTranslate2D.prototype.setupAxis = function()
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{
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this.xAxisLeft = this.nextIndex++;
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this.xAxisRight = this.nextIndex++;
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this.yAxisTop = this.nextIndex++;
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this.yAxisBottom = this.nextIndex++;
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this.xAxisLabel = this.nextIndex++;
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this.yAxisLabel = this.nextIndex++;
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this.originID = this.nextIndex++;
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this.cmd("CreateRectangle", this.originID, "", 0, 0, RotateTranslate2D.YAxisXPos, RotateTranslate2D.XAxisYPos);
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this.cmd("CreateRectangle", this.xAxisLeft, "", 0, 0, RotateTranslate2D.XAxisStart, RotateTranslate2D.XAxisYPos);
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this.cmd("SetAlpha", this.xAxisLeft, 0);
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this.cmd("CreateRectangle", this.xAxisRight, "", 0, 0, RotateTranslate2D.XAxisEnd, RotateTranslate2D.XAxisYPos);
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this.cmd("SetAlpha", this.xAxisRight, 0);
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this.cmd("Connect", this.xAxisLeft, this.xAxisRight, RotateTranslate2D.AXIS_COLOR, 0, 1, "");
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this.cmd("Connect", this.xAxisRight, this.xAxisLeft, RotateTranslate2D.AXIS_COLOR, 0, 1, "");
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this.cmd("CreateRectangle", this.yAxisTop, "", 0, 0, RotateTranslate2D.YAxisXPos, RotateTranslate2D.YAxisStart);
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this.cmd("SetAlpha", this.yAxisTop, 0);
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this.cmd("CreateRectangle", this.yAxisBottom, "", 0, 0, RotateTranslate2D.YAxisXPos, RotateTranslate2D.YAxisEnd);
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this.cmd("SetAlpha", this.yAxisBottom, 0);
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this.cmd("Connect", this.yAxisTop, this.yAxisBottom, RotateTranslate2D.AXIS_COLOR, 0, 1, "");
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this.cmd("Connect", this.yAxisBottom, this.yAxisTop, RotateTranslate2D.AXIS_COLOR, 0, 1, "");
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if (this.posYUp)
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{
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this.cmd("CreateLabel", this.yAxisLabel, "+y", RotateTranslate2D.YAxisXPos + 10, RotateTranslate2D.YAxisStart + 10);
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}
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else
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{
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this.cmd("CreateLabel", this.yAxisLabel, "+y", RotateTranslate2D.YAxisXPos + 10, RotateTranslate2D.YAxisEnd - 10);
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}
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this.cmd("CreateLabel", this.xAxisLabel, "+x", RotateTranslate2D.XAxisEnd - 10, RotateTranslate2D.XAxisYPos - 10);
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this.cmd("SetForegroundColor", this.yAxisLabel, RotateTranslate2D.AXIS_COLOR);
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this.cmd("SetForegroundColor", this.xAxisLabel, RotateTranslate2D.AXIS_COLOR);
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}
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RotateTranslate2D.prototype.setupObject = function()
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{
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var i = 0;
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this.objectVertexLocalPosition = new Array(RotateTranslate2D.OBJECTS[this.currentShape].length);
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this.objectVertexWorldPosition = new Array(RotateTranslate2D.OBJECTS[this.currentShape].length);
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for (i = 0; i < RotateTranslate2D.OBJECTS[this.currentShape].length; i++)
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{
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this.objectVertexLocalPosition[i] = RotateTranslate2D.OBJECTS[this.currentShape][i].slice(0)
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this.objectVertexWorldPosition[i] = RotateTranslate2D.OBJECTS[this.currentShape][i].slice(0);
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}
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}
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RotateTranslate2D.prototype.worldToScreenSpace = function(point)
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{
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var transformedPoint = new Array(2);
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transformedPoint[0] = point[0] + RotateTranslate2D.YAxisXPos;
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if (this.posYUp)
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{
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transformedPoint[1] = RotateTranslate2D.XAxisYPos - point[1];
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}
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else
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{
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transformedPoint[1] = RotateTranslate2D.XAxisYPos + point[1];
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}
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return transformedPoint;
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}
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RotateTranslate2D.prototype.setupObjectGraphic = function()
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{
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var i;
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this.objectVertexLocalID = new Array(this.objectVertexLocalPosition.length);
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this.objectVertexWorldID = new Array(this.objectVertexWorldPosition.length);
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for (i= 0; i < this.objectVertexLocalPosition.length; i++)
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{
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this.objectVertexLocalID[i] = this.nextIndex++;
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}
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for (i= 0; i < this.objectVertexWorldPosition.length; i++)
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{
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this.objectVertexWorldID[i] = this.nextIndex++;
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}
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var point = this.worldToScreenSpace(this.objectVertexLocalPosition[0])
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var xLocal = point[0];
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var yLocal = point[1];
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point = this.worldToScreenSpace(this.objectVertexWorldPosition[0])
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var xGlobal = point[0];
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var yGlobal = point[1];
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for (i = 0; i < this.objectVertexLocalPosition.length; i++)
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{
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point = this.worldToScreenSpace(this.objectVertexLocalPosition[i]);
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xLocal = Math.min(xLocal, point[0]);
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yLocal = Math.max(yLocal, point[1]);
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this.cmd("CreateRectangle", this.objectVertexLocalID[i], "", RotateTranslate2D.VERTEX_WIDTH, RotateTranslate2D.VERTEX_HEIGHT, point[0], point[1]);
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this.cmd("SetForegroundColor", this.objectVertexLocalID[i], RotateTranslate2D.LOCAL_VERTEX_FOREGORUND_COLOR);
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this.cmd("SetBackgroundColor", this.objectVertexLocalID[i], RotateTranslate2D.LOCAL_VERTEX_BACKGROUND_COLOR);
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point = this.worldToScreenSpace(this.objectVertexWorldPosition[i]);
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xGlobal = Math.min(xGlobal, point[0]);
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yGlobal = Math.min(yGlobal, point[1]);
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this.cmd("CreateRectangle", this.objectVertexWorldID[i], "", RotateTranslate2D.VERTEX_WIDTH, RotateTranslate2D.VERTEX_HEIGHT, point[0], point[1]);
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this.cmd("SetForegroundColor", this.objectVertexWorldID[i], RotateTranslate2D.GLOBAL_VERTEX_FOREGORUND_COLOR);
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this.cmd("SetBackgroundColor", this.objectVertexWorldID[i], RotateTranslate2D.GLOBAL_VERTEX_BACKGROUND_COLOR);
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}
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for (i = 1; i < this.objectVertexLocalID.length; i++)
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{
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this.cmd("Connect", this.objectVertexLocalID[i-1], this.objectVertexLocalID[i], RotateTranslate2D.LOCAL_EDGE_COLOR, 0, 0, "");
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this.cmd("Connect", this.objectVertexWorldID[i-1], this.objectVertexWorldID[i], RotateTranslate2D.GLOBAL_EDGE_COLOR, 0, 0, "");
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}
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this.cmd("Connect", this.objectVertexLocalID[this.objectVertexLocalID.length - 1], this.objectVertexLocalID[0], RotateTranslate2D.LOCAL_EDGE_COLOR, 0, 0, "");
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this.cmd("Connect", this.objectVertexWorldID[this.objectVertexWorldID.length - 1], this.objectVertexWorldID[0], RotateTranslate2D.GLOBAL_EDGE_COLOR, 0, 0, "");
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this.localLabelID = this.nextIndex++;
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this.globalLabelID = this.nextIndex++;
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this.cmd("CreateLabel", this.localLabelID, "Local Space", xLocal, yLocal + 2, 0);
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this.cmd("SetForegroundColor", this.localLabelID, RotateTranslate2D.LOCAL_VERTEX_FOREGORUND_COLOR);
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labelPos = this.worldToScreenSpace([xGlobal, yGlobal]);
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this.cmd("CreateLabel", this.globalLabelID, "World Space", xGlobal, yGlobal - 12, 0);
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this.cmd("SetForegroundColor", this.globalLabelID, RotateTranslate2D.GLOBAL_VERTEX_FOREGORUND_COLOR);
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}
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RotateTranslate2D.prototype.addControls = function()
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{
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this.controls = [];
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addLabelToAlgorithmBar("Rotation Angle");
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this.rotationField = addControlToAlgorithmBar("Text", "");
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this.rotationField.onkeydown = this.returnSubmitFloat(this.rotationField, this.transformCallback.bind(this), 4, true);
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this.controls.push(this.rotationField);
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addLabelToAlgorithmBar("Translate X");
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this.scaleXField = addControlToAlgorithmBar("Text", "");
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this.scaleXField.onkeydown = this.returnSubmitFloat(this.scaleXField, this.transformCallback.bind(this), 4, true);
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this.controls.push(this.scaleXField);
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addLabelToAlgorithmBar("Translate Y");
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this.scaleYField = addControlToAlgorithmBar("Text", "");
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this.scaleYField.onkeydown = this.returnSubmitFloat(this.scaleYField, this.transformCallback.bind(this), 4, true);
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this.controls.push(this.scaleYField);
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var transformButton = addControlToAlgorithmBar("Button", "Transform");
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transformButton.onclick = this.transformCallback.bind(this);
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this.controls.push(transformButton);
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var radioButtonList = addRadioButtonGroupToAlgorithmBar(["Row Major",
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"Column Major",
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],
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"RankType");
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this.rowMajorButton = radioButtonList[0];
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this.rowMajorButton.onclick = this.changeRowColMajorCallback.bind(this, true);
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this.controls.push(this.rowMajorButton);
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this.colMajorButton = radioButtonList[1];
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this.colMajorButton.onclick = this.changeRowColMajorCallback.bind(this, false);
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this.controls.push(this.colMajorButton);
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this.rowMajorButton.checked = this.rowMajor;
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this.colMajorButton.checked = !this.rowMajor;
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var radioButtonList = addRadioButtonGroupToAlgorithmBar(["+y Up",
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"+y Down",
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],
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"yAxisDirection");
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this.posYUpButton = radioButtonList[0];
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this.posYUpButton.onclick = this.changePosYCallback.bind(this, true);
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this.controls.push(this.posYUpButton);
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this.posYDownButton = radioButtonList[1];
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this.posYDownButton.onclick = this.changePosYCallback.bind(this, false);
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this.controls.push(this.posYDownButton);
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this.posYUpButton.checked = this.posYUp;
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this.posYDownButton.checked = !this.posYUp;
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var changeShapeButton = addControlToAlgorithmBar("Button", "Change Shape");
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changeShapeButton.onclick = this.changeShapeCallback.bind(this);
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this.controls.push(changeShapeButton);
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}
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RotateTranslate2D.prototype.reset = function()
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{
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this.rowMajor = true;
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this.posYUp = true;
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this.rotateFirst = true;
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this.currentShape = 0;
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this.rowMajorButton.checked = this.rowMajor;
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this.posYUpButton.checked = this.posYUp;
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this.transformMatrix.data = [[1,0,0],[0,1,0],[0,0,1]];
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this.nextIndex = this.savedNextIndex;
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this.setupObject();
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this.setupObjectGraphic();
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}
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RotateTranslate2D.prototype.enableUI = function(event)
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{
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for (var i = 0; i < this.controls.length; i++)
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{
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this.controls[i].disabled = false;
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}
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}
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RotateTranslate2D.prototype.disableUI = function(event)
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{
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for (var i = 0; i < this.controls.length; i++)
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{
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this.controls[i].disabled = true;
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}
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}
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RotateTranslate2D.prototype.changePosYCallback = function(posYUp)
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{
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if (this.posYUp != posYUp)
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{
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this.implementAction(this.changePosY.bind(this), posYUp);
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}
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}
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RotateTranslate2D.prototype.changePosY = function(posYUp)
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{
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this.commands = new Array();
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this.posYUp= posYUp;
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if (this.posYUpButton.checked != this.posYUp)
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{
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this.posYUpButton.checked = this.posYUp;
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}
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if (this.posYDownButton.checked == this.posYUp)
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{
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this.posYDownButton.checked = !this.posYUp;
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}
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if (this.posYUp)
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{
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this.cmd("Move", this.yAxisLabel, RotateTranslate2D.YAxisXPos + 10, RotateTranslate2D.YAxisStart + 10);
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}
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else
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{
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this.cmd("Move", this.yAxisLabel, RotateTranslate2D.YAxisXPos + 10, RotateTranslate2D.YAxisEnd - 10);
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}
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this.moveObjectToNewPosition(this.objectVertexLocalPosition, this.objectVertexLocalID, this.localLabelID, false);
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this.moveObjectToNewPosition(this.objectVertexWorldPosition, this.objectVertexWorldID, this.globalLabelID, true);
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return this.commands;
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}
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RotateTranslate2D.prototype.moveObjectToNewPosition = function(objectLocations, objectIDs, labelID, top)
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{
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var point = this.worldToScreenSpace(objectLocations[0])
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var labelX = point[0];
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var labelY = point[1];
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for (var i = 0; i < objectLocations.length; i++)
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{
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point = this.worldToScreenSpace(objectLocations[i]);
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this.cmd("Move", objectIDs[i], point[0], point[1]);
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labelX = Math.min(labelX, point[0]);
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if (top)
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{
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labelY = Math.min(labelY, point[1]);
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}
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else
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{
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labelY = Math.max(labelY, point[1]);
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}
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}
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if (top)
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{
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this.cmd("Move", labelID, labelX, labelY - 12);
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}
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else
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{
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this.cmd("Move", labelID, labelX, labelY + 2);
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}
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}
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RotateTranslate2D.prototype.changeRowColMajorCallback = function(rowMajor)
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{
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if (this.rowMajor != rowMajor)
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{
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this.implementAction(this.changeRowCol.bind(this), rowMajor);
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}
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}
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RotateTranslate2D.prototype.changeRowCol = function(rowMajor)
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{
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this.commands = new Array();
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this.rowMajor= rowMajor;
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if (this.rowMajorButton.checked != this.rowMajor)
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{
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this.rowMajorButton.checked = this.rowMajor;
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}
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if (this.colMajorButton.checked == this.rowMajor)
|
|
{
|
|
this.colMajorButton.checked = !this.rowMajor;
|
|
}
|
|
|
|
this.transformMatrix.transpose();
|
|
this.resetMatrixLabels(this.transformMatrix);
|
|
|
|
|
|
return this.commands;
|
|
}
|
|
|
|
|
|
RotateTranslate2D.prototype.fixNumber = function(value, defaultVal)
|
|
{
|
|
if (value == "" || value == "-" || value == "." || value == "-." || isNaN(parseFloat(value)))
|
|
{
|
|
value = defaultVal;
|
|
}
|
|
else
|
|
{
|
|
value = String(parseFloat(value));
|
|
}
|
|
return value
|
|
}
|
|
|
|
RotateTranslate2D.prototype.transformCallback = function()
|
|
{
|
|
|
|
|
|
this.rotationField.value = this.fixNumber(this.rotationField.value, "0");
|
|
this.scaleXField.value = this.fixNumber(this.scaleXField.value, "0");
|
|
this.scaleYField.value = this.fixNumber(this.scaleYField.value, "0");
|
|
this.implementAction(this.transform.bind(this), this.rotationField.value + ";" + this.scaleXField.value + ";" + this.scaleYField.value);
|
|
|
|
}
|
|
|
|
|
|
RotateTranslate2D.prototype.changeShapeCallback = function()
|
|
{
|
|
this.implementAction(this.changeShape.bind(this), 0);
|
|
}
|
|
|
|
RotateTranslate2D.prototype.changeShape = function()
|
|
{
|
|
this.commands = [];
|
|
var i;
|
|
for (i = 0; i < this.objectVertexLocalID.length; i++)
|
|
{
|
|
this.cmd("Delete", this.objectVertexLocalID[i]);
|
|
this.cmd("Delete", this.objectVertexWorldID[i]);
|
|
}
|
|
this.cmd("Delete", this.localLabelID);
|
|
this.cmd("Delete", this.globalLabelID);
|
|
this.currentShape++;
|
|
if (this.currentShape >= RotateTranslate2D.OBJECTS.length)
|
|
{
|
|
this.currentShape = 0;
|
|
}
|
|
this.transformMatrix.data = [[1,0,0],[0,1,0],[0,0,1]];
|
|
this.resetMatrixLabels(this.transformMatrix);
|
|
this.setupObject();
|
|
this.setupObjectGraphic();
|
|
return this.commands;
|
|
}
|
|
|
|
|
|
function toRadians(degrees)
|
|
{
|
|
return (degrees * 2 * Math.PI) / 360.0;
|
|
}
|
|
|
|
RotateTranslate2D.prototype.transform = function(input)
|
|
{
|
|
this.commands = [];
|
|
|
|
var inputs = input.split(";");
|
|
var rotateDegree = parseFloat(inputs[0]);
|
|
var deltaX = parseFloat(inputs[1]);
|
|
var deltaY = parseFloat(inputs[2]);
|
|
var rotateRadians = toRadians(rotateDegree);
|
|
|
|
|
|
var deltaMatrix;
|
|
if (this.rowMajor)
|
|
{
|
|
deltaMatrix = this.createMatrix([["cos \u0398", "sin \u0398", 0], ["-sin \u0398", "cos \u0398", 0],["\u0394x", "\u0394y", "1"]],
|
|
RotateTranslate2D.MATRIX_START_X +3 * RotateTranslate2D.MATRIX_ELEM_WIDTH + RotateTranslate2D.MATRIX_MULTIPLY_SPACING,
|
|
RotateTranslate2D.MATRIX_START_Y);
|
|
}
|
|
else
|
|
{
|
|
deltaMatrix = this.createMatrix([["cos \u0398", "-sin \u0398", "\u0394x"], ["sin \u0398", "cos \u0398", "\u0394y"],[0, 0, 1]],
|
|
RotateTranslate2D.MATRIX_START_X -3 * RotateTranslate2D.MATRIX_ELEM_WIDTH - RotateTranslate2D.MATRIX_MULTIPLY_SPACING,
|
|
RotateTranslate2D.MATRIX_START_Y);
|
|
}
|
|
this.cmd("Step");
|
|
|
|
if (this.rowMajor)
|
|
{
|
|
deltaMatrix.data = [["cos " + inputs[0], "sin " + inputs[0], 0], ["-sin " + inputs[0], "cos " + inputs[0], 0],["\u0394x", "\u0394y", "1"]]
|
|
}
|
|
else
|
|
{
|
|
deltaMatrix.data = [["cos " + inputs[0], "-sin " + inputs[0], "\u0394 x"], ["sin " + inputs[0], "cos " + inputs[0], "\u0394y"],[0, 0, 1]];
|
|
}
|
|
this.resetMatrixLabels(deltaMatrix);
|
|
this.cmd("Step");
|
|
|
|
if (this.rowMajor)
|
|
{
|
|
deltaMatrix.data = [[Math.cos(rotateRadians), Math.sin(rotateRadians), 0], [-Math.sin(rotateRadians), Math.cos(rotateRadians), 0],[deltaX, deltaY, 1]]
|
|
}
|
|
else
|
|
{
|
|
deltaMatrix.data = [[Math.cos(rotateRadians), -Math.sin(rotateRadians), deltaX], [Math.sin(rotateRadians), Math.cos(rotateRadians), deltaY],[0,0, 1]]
|
|
}
|
|
this.resetMatrixLabels(deltaMatrix);
|
|
this.cmd("Step");
|
|
|
|
var equalLabel = this.nextIndex++;
|
|
var resultMatrix;
|
|
var explainID = this.nextIndex++;
|
|
var resultXPos;
|
|
|
|
if (this.rowMajor)
|
|
{
|
|
resultXPos = RotateTranslate2D.MATRIX_START_X +6 * RotateTranslate2D.MATRIX_ELEM_WIDTH + RotateTranslate2D.MATRIX_MULTIPLY_SPACING;
|
|
}
|
|
else
|
|
{
|
|
resultXPos = RotateTranslate2D.MATRIX_START_X +3 * RotateTranslate2D.MATRIX_ELEM_WIDTH;
|
|
}
|
|
resultMatrix = this.createMatrix([["", "", ""],["", "", ""],["", "", ""]],
|
|
resultXPos + RotateTranslate2D.EQUALS_SPACING,
|
|
RotateTranslate2D.MATRIX_START_Y);
|
|
this.cmd("CreateLabel", equalLabel, "=", resultXPos + RotateTranslate2D.EQUALS_SPACING / 2,
|
|
RotateTranslate2D.MATRIX_START_Y + 1.5 * RotateTranslate2D.MATRIX_ELEM_HEIGHT);
|
|
|
|
this.cmd("CreateLabel", explainID, "", resultXPos + RotateTranslate2D.EQUALS_SPACING, RotateTranslate2D.MATRIX_START_Y + 3 * RotateTranslate2D.MATRIX_ELEM_HEIGHT + 5, 0);
|
|
|
|
|
|
this.cmd("Step"); // TODO: Remove this?
|
|
if (this.rowMajor)
|
|
{
|
|
this.multiplyMatrix(this.transformMatrix, deltaMatrix, resultMatrix, explainID);
|
|
}
|
|
else
|
|
{
|
|
this.multiplyMatrix(deltaMatrix, this.transformMatrix, resultMatrix, explainID);
|
|
}
|
|
|
|
this.setMatrixAlpha(this.transformMatrix, 0);
|
|
this.transformMatrix.data = resultMatrix.data;
|
|
this.resetMatrixLabels(this.transformMatrix);
|
|
this.moveMatrix(resultMatrix, RotateTranslate2D.MATRIX_START_X, RotateTranslate2D.MATRIX_START_Y);
|
|
this.deleteMatrix(deltaMatrix);
|
|
this.cmd("Delete", equalLabel);
|
|
this.cmd("SetText", explainID, "");
|
|
this.cmd("Step");
|
|
this.deleteMatrix(resultMatrix);
|
|
this.setMatrixAlpha(this.transformMatrix, 1);
|
|
var i;
|
|
|
|
var transformedObjectID = new Array(this.objectVertexLocalPosition.length);
|
|
|
|
var xy;
|
|
|
|
if (this.rowMajor)
|
|
{
|
|
xy = this.createMatrix([["x", "y", 1]], RotateTranslate2D.MATRIX_START_X - 3 * RotateTranslate2D.MATRIX_ELEM_WIDTH - RotateTranslate2D.MATRIX_MULTIPLY_SPACING,
|
|
RotateTranslate2D.MATRIX_START_Y);
|
|
}
|
|
else
|
|
{
|
|
xy = this.createMatrix([["x"], ["y"], [1]], RotateTranslate2D.MATRIX_START_X + 3 * RotateTranslate2D.MATRIX_ELEM_WIDTH + RotateTranslate2D.MATRIX_MULTIPLY_SPACING,
|
|
RotateTranslate2D.MATRIX_START_Y);
|
|
|
|
}
|
|
this.cmd("Step");
|
|
var equalX;
|
|
var equalY;
|
|
|
|
if (this.rowMajor)
|
|
{
|
|
equalX = RotateTranslate2D.MATRIX_START_X + 3*RotateTranslate2D.MATRIX_ELEM_WIDTH + RotateTranslate2D.EQUALS_SPACING / 2;
|
|
equalY = RotateTranslate2D.MATRIX_START_Y + 0.5 * RotateTranslate2D.MATRIX_ELEM_HEIGHT;
|
|
this.cmd("SetPosition", explainID, equalX + RotateTranslate2D.EQUALS_SPACING / 2, RotateTranslate2D.MATRIX_START_Y + RotateTranslate2D.MATRIX_ELEM_HEIGHT + 10);
|
|
}
|
|
else
|
|
{
|
|
equalX = RotateTranslate2D.MATRIX_START_X + 4*RotateTranslate2D.MATRIX_ELEM_WIDTH + RotateTranslate2D.MATRIX_MULTIPLY_SPACING + RotateTranslate2D.EQUALS_SPACING / 2;
|
|
equalY = RotateTranslate2D.MATRIX_START_Y + 1.5 * RotateTranslate2D.MATRIX_ELEM_HEIGHT;
|
|
this.cmd("SetPosition", explainID, equalX + RotateTranslate2D.EQUALS_SPACING / 2, RotateTranslate2D.MATRIX_START_Y + 3 * RotateTranslate2D.MATRIX_ELEM_HEIGHT + 10);
|
|
}
|
|
for (i = 0; i < this.objectVertexLocalPosition.length; i++)
|
|
{
|
|
this.cmd("Connect", this.originID, this.objectVertexLocalID[i], RotateTranslate2D.VECTOR_COLOR, 0, 1, "");
|
|
if (this.rowMajor)
|
|
{
|
|
xy.data[0][0] = this.objectVertexLocalPosition[i][0];
|
|
xy.data[0][1] = this.objectVertexLocalPosition[i][1];
|
|
xy.data[0][2] = 1;
|
|
}
|
|
else
|
|
{
|
|
xy.data[0][0] = this.objectVertexLocalPosition[i][0];
|
|
xy.data[1][0] = this.objectVertexLocalPosition[i][1];
|
|
xy.data[2][0] = 1;
|
|
}
|
|
this.resetMatrixLabels(xy);
|
|
this.cmd("Step");
|
|
|
|
this.cmd("CreateLabel", equalLabel, "=", equalX, equalY);
|
|
if (this.rowMajor)
|
|
{
|
|
output = this.createMatrix([["","", ""]], equalX + RotateTranslate2D.EQUALS_SPACING / 2, RotateTranslate2D.MATRIX_START_Y);
|
|
this.multiplyMatrix(xy, this.transformMatrix, output, explainID);
|
|
}
|
|
else
|
|
{
|
|
output = this.createMatrix([[""],[""], [""]], equalX + RotateTranslate2D.EQUALS_SPACING / 2, RotateTranslate2D.MATRIX_START_Y)
|
|
this.multiplyMatrix(this.transformMatrix, xy, output, explainID);
|
|
}
|
|
|
|
transformedObjectID[i] = this.nextIndex++;
|
|
var point;
|
|
if (this.rowMajor)
|
|
{
|
|
point = this.worldToScreenSpace([output.data[0][0], output.data[0][1]]);
|
|
}
|
|
else
|
|
{
|
|
point = this.worldToScreenSpace([output.data[0][0], output.data[1][0]]);
|
|
}
|
|
|
|
this.cmd("CreateRectangle", transformedObjectID[i], "", RotateTranslate2D.VERTEX_WIDTH, RotateTranslate2D.VERTEX_HEIGHT, point[0], point[1]);
|
|
this.cmd("SetForegroundColor", transformedObjectID[i], RotateTranslate2D.TRANSFORMED_VERTEX_FOREGORUND_COLOR);
|
|
this.cmd("SetBackgroundColor", transformedObjectID[i], RotateTranslate2D.TRANSFORMED_VERTEX_BACKGROUND_COLOR);
|
|
this.cmd("Connect", this.originID, transformedObjectID[i], RotateTranslate2D.TRANSFORMED_EDGE_COLOR, 0, 1, "");
|
|
this.cmd("Step");
|
|
this.cmd("Disconnect", this.originID, transformedObjectID[i]);
|
|
|
|
if (i > 0)
|
|
{
|
|
this.cmd("Connect", transformedObjectID[i-1], transformedObjectID[i], RotateTranslate2D.TRANSFORMED_EDGE_COLOR, 0, 0, "");
|
|
}
|
|
|
|
this.cmd("Disconnect", this.originID, this.objectVertexLocalID[i]);
|
|
if (this.rowMajor)
|
|
{
|
|
this.objectVertexWorldPosition[i][0] = output.data[0][0];
|
|
this.objectVertexWorldPosition[i][1] = output.data[0][1];
|
|
}
|
|
else
|
|
{
|
|
this.objectVertexWorldPosition[i][0] = output.data[0][0];
|
|
this.objectVertexWorldPosition[i][1] = output.data[1][0];
|
|
}
|
|
this.cmd("Delete", equalLabel);
|
|
this.deleteMatrix(output);
|
|
}
|
|
this.cmd("Step");
|
|
this.cmd("Connect", transformedObjectID[transformedObjectID.length-1], transformedObjectID[0], RotateTranslate2D.TRANSFORMED_EDGE_COLOR, 0, 0, "");
|
|
|
|
this.cmd("Step","B");
|
|
this.moveObjectToNewPosition(this.objectVertexWorldPosition, this.objectVertexWorldID, this.globalLabelID, true);
|
|
this.cmd("Step");
|
|
|
|
for (i = 0; i < transformedObjectID.length; i++)
|
|
{
|
|
this.cmd("Delete", transformedObjectID[i]);
|
|
}
|
|
|
|
|
|
this.deleteMatrix(xy);
|
|
return this.commands;
|
|
}
|
|
|
|
|
|
RotateTranslate2D.prototype.multiplyMatrix = function(mat1, mat2, mat3, explainID)
|
|
{
|
|
var i;
|
|
var j;
|
|
var explainText = "";
|
|
for (i = 0; i < mat1.data.length; i++)
|
|
{
|
|
for (j = 0; j < mat2.data[0].length; j++)
|
|
{
|
|
var explainText = "";
|
|
var value = 0;
|
|
for (k = 0; k < mat2.data.length; k++)
|
|
{
|
|
this.cmd("SetHighlight", mat1.dataID[i][k], 1);
|
|
this.cmd("SetHighlight", mat2.dataID[k][j], 1);
|
|
if (explainText != "")
|
|
{
|
|
explainText = explainText + " + ";
|
|
}
|
|
value = value + mat1.data[i][k] * mat2.data[k][j];
|
|
explainText = explainText + String(mat1.data[i][k]) + " * " + String(mat2.data[k][j]);
|
|
this.cmd("SetText", explainID, explainText);
|
|
this.cmd("Step");
|
|
this.cmd("SetHighlight", mat1.dataID[i][k], 0);
|
|
this.cmd("SetHighlight", mat2.dataID[k][j], 0);
|
|
}
|
|
value = this.standardize(value);
|
|
explainText += " = " + String(value);
|
|
this.cmd("SetText", explainID, explainText);
|
|
mat3.data[i][j] = value;
|
|
this.cmd("SetText", mat3.dataID[i][j], value);
|
|
this.cmd("Step");
|
|
}
|
|
}
|
|
this.cmd("SetText", explainID, "");
|
|
|
|
|
|
}
|
|
|
|
RotateTranslate2D.prototype.standardize = function(lab)
|
|
{
|
|
var newLab = Math.round(lab * 1000) / 1000;
|
|
if (isNaN(newLab))
|
|
{
|
|
return lab;
|
|
}
|
|
else
|
|
{
|
|
return newLab;
|
|
}
|
|
}
|
|
|
|
|
|
RotateTranslate2D.prototype.resetMatrixLabels = function(mat)
|
|
{
|
|
var i,j;
|
|
for (i = 0; i < mat.data.length; i++)
|
|
{
|
|
for (j = 0; j < mat.data[i].length; j++)
|
|
{
|
|
mat.data[i][j] = this.standardize(mat.data[i][j]);
|
|
this.cmd("SetText", mat.dataID[i][j], mat.data[i][j]);
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
|
|
RotateTranslate2D.prototype.moveMatrix = function(mat, x, y)
|
|
{
|
|
var height = mat.data.length;
|
|
var width = 0;
|
|
|
|
var i, j;
|
|
for (i = 0; i < mat.data.length; i++)
|
|
{
|
|
width = Math.max(width, mat.data[i].length);
|
|
}
|
|
|
|
|
|
this.cmd("Move", mat.leftBrack1, x, y);
|
|
this.cmd("Move", mat.leftBrack2, x, y);
|
|
this.cmd("Move", mat.leftBrack3, x, y + height * RotateTranslate2D.MATRIX_ELEM_HEIGHT);
|
|
|
|
this.cmd("Move", mat.rightBrack1, x + width * RotateTranslate2D.MATRIX_ELEM_WIDTH, y);
|
|
this.cmd("Move", mat.rightBrack2, x + width * RotateTranslate2D.MATRIX_ELEM_WIDTH, y);
|
|
this.cmd("Move", mat.rightBrack3, x+ width * RotateTranslate2D.MATRIX_ELEM_WIDTH, y + height * RotateTranslate2D.MATRIX_ELEM_HEIGHT);
|
|
|
|
for (i = 0; i < mat.data.length; i++)
|
|
{
|
|
for (j = 0; j < mat.data[i].length; j++)
|
|
{
|
|
this.cmd("Move", mat.dataID[i][j],
|
|
x + j*RotateTranslate2D.MATRIX_ELEM_WIDTH + RotateTranslate2D.MATRIX_ELEM_WIDTH / 2,
|
|
y + i*RotateTranslate2D.MATRIX_ELEM_HEIGHT + RotateTranslate2D.MATRIX_ELEM_HEIGHT / 2);
|
|
}
|
|
}
|
|
}
|
|
|
|
RotateTranslate2D.prototype.deleteMatrix = function(mat)
|
|
{
|
|
this.cmd("Delete",mat.leftBrack1);
|
|
this.cmd("Delete",mat.leftBrack2);
|
|
this.cmd("Delete",mat.leftBrack3);
|
|
this.cmd("Delete",mat.rightBrack1);
|
|
this.cmd("Delete",mat.rightBrack2);
|
|
this.cmd("Delete",mat.rightBrack3);
|
|
var i,j;
|
|
for (i = 0; i < mat.data.length; i++)
|
|
{
|
|
for (j = 0; j < mat.data[i].length; j++)
|
|
{
|
|
this.cmd("Delete", mat.dataID[i][j]);
|
|
}
|
|
}
|
|
}
|
|
|
|
RotateTranslate2D.prototype.setMatrixAlpha = function(mat, alpha)
|
|
{
|
|
this.cmd("SetAlpha",mat.leftBrack1, alpha);
|
|
this.cmd("SetAlpha",mat.leftBrack2, alpha);
|
|
this.cmd("SetAlpha",mat.leftBrack3, alpha);
|
|
this.cmd("SetAlpha",mat.rightBrack1, alpha);
|
|
this.cmd("SetAlpha",mat.rightBrack2, alpha);
|
|
this.cmd("SetAlpha",mat.rightBrack3, alpha);
|
|
var i,j;
|
|
for (i = 0; i < mat.data.length; i++)
|
|
{
|
|
for (j = 0; j < mat.data[i].length; j++)
|
|
{
|
|
this.cmd("SetAlpha", mat.dataID[i][j], alpha);
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
RotateTranslate2D.prototype.createMatrix = function(contents, x, y)
|
|
{
|
|
var mat = new Matrix(contents, x, y);
|
|
mat.leftBrack1 = this.nextIndex++;
|
|
mat.leftBrack2 = this.nextIndex++;
|
|
mat.leftBrack3 = this.nextIndex++;
|
|
mat.rightBrack1 = this.nextIndex++;
|
|
mat.rightBrack2 = this.nextIndex++;
|
|
mat.rightBrack3 = this.nextIndex++;
|
|
|
|
var height = mat.data.length;
|
|
var width = 0;
|
|
|
|
var i, j;
|
|
mat.dataID = new Array(mat.data.length);
|
|
for (i = 0; i < mat.data.length; i++)
|
|
{
|
|
width = Math.max(width, mat.data[i].length);
|
|
mat.dataID[i] = new Array(mat.data[i].length);
|
|
for (j = 0; j < mat.data[i].length; j++)
|
|
{
|
|
mat.dataID[i][j] = this.nextIndex++;
|
|
}
|
|
}
|
|
|
|
this.cmd("CreateRectangle", mat.leftBrack1, "", 5, 1, x, y, "left","center");
|
|
this.cmd("CreateRectangle", mat.leftBrack2, "", 1, height * RotateTranslate2D.MATRIX_ELEM_HEIGHT, x, y, "center","top");
|
|
this.cmd("CreateRectangle", mat.leftBrack3, "", 5, 1, x, y + height * RotateTranslate2D.MATRIX_ELEM_HEIGHT , "left","center");
|
|
|
|
this.cmd("CreateRectangle", mat.rightBrack1, "", 5, 1, x + width * RotateTranslate2D.MATRIX_ELEM_WIDTH, y, "right","center");
|
|
this.cmd("CreateRectangle", mat.rightBrack2, "", 1, height * RotateTranslate2D.MATRIX_ELEM_HEIGHT, x + width * RotateTranslate2D.MATRIX_ELEM_WIDTH, y, "center","top");
|
|
this.cmd("CreateRectangle", mat.rightBrack3, "", 5, 1, x+ width * RotateTranslate2D.MATRIX_ELEM_WIDTH, y + height * RotateTranslate2D.MATRIX_ELEM_HEIGHT , "right","center");
|
|
|
|
for (i = 0; i < mat.data.length; i++)
|
|
{
|
|
for (j = 0; j < mat.data[i].length; j++)
|
|
{
|
|
this.cmd("CreateLabel", mat.dataID[i][j], mat.data[i][j],
|
|
x + j*RotateTranslate2D.MATRIX_ELEM_WIDTH + RotateTranslate2D.MATRIX_ELEM_WIDTH / 2,
|
|
y + i*RotateTranslate2D.MATRIX_ELEM_HEIGHT + RotateTranslate2D.MATRIX_ELEM_HEIGHT / 2);
|
|
}
|
|
}
|
|
return mat;
|
|
}
|
|
|
|
var currentAlg;
|
|
|
|
function init()
|
|
{
|
|
var animManag = initCanvas();
|
|
currentAlg = new RotateTranslate2D(animManag, canvas.width, canvas.height);
|
|
}
|
|
|
|
function Matrix(contents, x, y)
|
|
{
|
|
this.data = contents;
|
|
this.x = x;
|
|
this.y = y;
|
|
}
|
|
|
|
Matrix.prototype.transpose = function()
|
|
{
|
|
var newData = new Array(this.data[0].length);
|
|
var i,j;
|
|
for (i = 0; i < this.data[0].length; i++)
|
|
{
|
|
newData[i] = new Array(this.data.length);
|
|
}
|
|
for (i = 0; i < this.data.length; i++)
|
|
{
|
|
for (j = 0; j < this.data[i].length; j++)
|
|
{
|
|
newData[j][i] = this.data[i][j];
|
|
}
|
|
}
|
|
this.data = newData;
|
|
}
|
|
|
|
|