Solve Program 2: Chaos Game
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.vscode/launch.json
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17
.vscode/launch.json
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{
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"version": "0.2.0",
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"configurations": [
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{
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"name": "Launch ClickedPoints",
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"name": "ClickedPoints",
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"type": "firefox",
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"request": "launch",
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"reAttach": true,
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"file": "${workspaceFolder}/ClickedPoints/ClickedPoints.html"
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},
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{
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"name": "ChaosGame",
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"type": "firefox",
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"request": "launch",
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"reAttach": true,
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"file": "${workspaceFolder}/ChaosGame/ChaosGame.html"
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},
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{
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"name": "Pendulum",
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"type": "firefox",
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"request": "launch",
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"reAttach": true,
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"file": "${workspaceFolder}/Pendulum/Pendulum.html"
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}
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]
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}
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ChaosGame/ChaosGame.html
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ChaosGame/ChaosGame.html
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="utf-8" />
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<title>Chaos Game</title>
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</head>
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<body onload="main()">
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<canvas id="webgl" width="400" height="400">
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Please use a browser that supports "canvas"
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</canvas>
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<script src="../lib/webgl-utils.js"></script>
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<script src="../lib/webgl-debug.js"></script>
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<script src="../lib/cuon-utils.js"></script>
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<script src="ChaosGame.js"></script>
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</body>
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</html>
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ChaosGame/ChaosGame.js
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ChaosGame/ChaosGame.js
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// HelloPoint2.js (c) 2012 matsuda, 2022 Jonathon Doran
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"use strict";
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// Vertex shader program
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const vertex_shader = `
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attribute vec4 a_Position; // attribute variables are assigned by the main program
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void main()
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{
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gl_Position = a_Position;
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gl_PointSize = 1.0;
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} `;
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// Fragment shader program
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const fragment_shader = `
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void main()
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{
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gl_FragColor = vec4(0.2, 0.8, 1.0, 1.0); // Set the point color to a nice cyan
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} `;
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//
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// Chaos Game
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//
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// Classes
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// vec2: 2D vectors
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class vec2 {
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constructor(x = 0, y = 0) {
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this.x = x;
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this.y = y;
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}
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add(rhs) {
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if (rhs)
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return new vec2(this.x + rhs.x, this.y + rhs.y);
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return null;
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}
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sub(rhs) {
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if (rhs)
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return new vec2(this.x - rhs.x, this.y - rhs.y);
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return null;
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}
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copy() {
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return new vec2(this.x, this.y);
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}
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move_halfway(rhs) {
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// Calculate the vector direction to move in, and change in that direction.
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this.x += (rhs.x - this.x) / 2;
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this.y += (rhs.y - this.y) / 2;
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}
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}
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// triangle2 class: Holds 3 vertices, represented as vectors from the origin
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class triangle2 {
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// constructor: Make a new triangle
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constructor({ v0 = null, v1 = null, v2 = null, type = "scalene", radius = 0, center = {x: 0, y: 0}} = {}) {
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this.v = [, ,]
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this.v[0] = v0;
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this.v[1] = v1;
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this.v[2] = v2;
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if (type === "equilateral") {
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this.make_equilateral(radius, center);
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}
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}
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// make_equilateral: construct an equilateral triangle
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// @param radius: Distance from center of triangle to vertices
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make_equilateral(radius, center = {x: 0, y: 0}) {
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// compute the math constants
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const r_sin_120 = Math.sin(Math.PI / 3) * radius;
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const r_cos_120 = 0.5 * radius;
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// Equilateral triangle centered on origin
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this.v[0] = new vec2(-r_sin_120, -r_cos_120).add(center);
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this.v[1] = new vec2(0, radius).add(center);
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this.v[2] = new vec2(r_sin_120, -r_cos_120).add(center);
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}
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get_vertex(index) { return this.v[index]; }
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get_rand_vertex() { return this.v[Math.floor(Math.random() * 3)]; }
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}
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// function draw_point: draw a point
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function draw_point(gl, a_Position, p) {
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// Pass vertex position to attribute variable
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gl.vertexAttrib3f(a_Position, p.x, p.y, 0.0);
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// Draw
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gl.drawArrays(gl.POINTS, 0, 1);
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}
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function main() {
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// Retrieve <canvas> element
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var canvas = document.getElementById('webgl');
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// Get the rendering context for WebGL
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var gl = getWebGLContext(canvas);
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if (!gl) {
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console.log('Failed to get the rendering context for WebGL');
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return;
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}
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// Initialize shaders
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if (!initShaders(gl, vertex_shader, fragment_shader)) {
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console.log('Failed to intialize shaders.');
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return;
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}
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// Get the storage location of a_Position
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var a_Position = gl.getAttribLocation(gl.program, 'a_Position');
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if (a_Position < 0) {
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console.log('Failed to get the storage location of a_Position');
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return;
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}
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// Specify the color for clearing canvas as black, and clear canvas
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gl.clearColor(0.0, 0.0, 0.0, 1.0);
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gl.clear(gl.COLOR_BUFFER_BIT);
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// make an equilateral triangle of radius 0.8
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var triangle = new triangle2({type: "equilateral", radius: 0.8});
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// initialize point p to a copy of one of the vectors
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var i, p = triangle.get_vertex(0)?.copy();
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// loop for ten thousand years
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for (i = 0; i < 50000; i++) {
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// get a random vertex
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var random_vertex = triangle.get_rand_vertex();
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// move to the midpoint
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p.move_halfway(random_vertex);
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// draw point
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draw_point(gl, a_Position, p);
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}
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}
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