Write a WebGL program that displays a rotating pendulum. The pendulum bob is free to rotate through 360 degrees about an anchor point at the center of the canvas. The pendulum has the following three components. 1) The anchor point is a green square centered at the origin (0,0) with point size = 5 pixels. 2) The bob is a blue hexagon of radius r = 0.1. Render this with a triangle fan centered at the origin (along with a ModelView matrix that translates and rotates). 3) The bob is attached to the anchor point by a rigid red wire of length l = 0.8. Use global variables for the point size of the anchor, the radius of the bob, the length of the wire, and the angular velocity of rotation in degrees per second. Set the initial angular velocity to 45 and allow an interactive user to increase or decrease the value in multiples of 10 degrees per second with button presses. 

Code given to base program off of:

// RotatingTranslatedTriangle.js (c) 2012 matsuda
	// Vertex shader program
	var VSHADER_SOURCE =
	'attribute vec4 a_Position; ' +
	'uniform mat4 u_ModelMatrix; ' +
	'void main() { ' +
	' gl_Position = u_ModelMatrix * a_Position; ' +
	'} ';
	// Fragment shader program
	var FSHADER_SOURCE =
	'void main() { ' +
	' gl_FragColor = vec4(1.0, 0.0, 0.0, 1.0); ' +
	'} ';
	// Rotation angle (degrees/second)
	var ANGLE_STEP = 45.0;
	function main() {
	// Retrieve element
	var canvas = document.getElementById('webgl');
	// Get the rendering context for WebGL
	var gl = getWebGLContext(canvas);
	if (!gl) {
	console.log('Failed to get the rendering context for WebGL');
	return;
	}
	// Initialize shaders
	if (!initShaders(gl, VSHADER_SOURCE, FSHADER_SOURCE)) {
	console.log('Failed to intialize shaders.');
	return;
	}
	// Write the positions of vertices to a vertex shader
	var n = initVertexBuffers(gl);
	if (n < 0) {
	console.log('Failed to set the positions of the vertices');
	return;
	}
	// Specify the color for clearing
	gl.clearColor(0, 0, 0, 1);
	// Get storage location of u_ModelMatrix
	var u_ModelMatrix = gl.getUniformLocation(gl.program, 'u_ModelMatrix');
	if (!u_ModelMatrix) {
	console.log('Failed to get the storage location of u_ModelMatrix');
	return;
	}
	// Current rotation angle
	var currentAngle = 0.0;
	// Model matrix
	var modelMatrix = new Matrix4();
	// Start drawing
	var tick = function() {
	currentAngle = animate(currentAngle); // Update the rotation angle
	draw(gl, n, currentAngle, modelMatrix, u_ModelMatrix); // Draw the triangle
	requestAnimationFrame(tick, canvas); // Request that the browser ?calls tick
	};
	tick();
	}
	function initVertexBuffers(gl) {
	var vertices = new Float32Array ([
	0, 0.5, -0.5, -0.5, 0.5, -0.5
	]);
	var n = 3; // The number of vertices
	// Create a buffer object
	var vertexBuffer = gl.createBuffer();
	if (!vertexBuffer) {
	console.log('Failed to create the buffer object');
	return -1;
	}
	// Bind the buffer object to target
	gl.bindBuffer(gl.ARRAY_BUFFER, vertexBuffer);
	// Write date into the buffer object
	gl.bufferData(gl.ARRAY_BUFFER, vertices, gl.STATIC_DRAW);
	// Assign the buffer object to a_Position variable
	var a_Position = gl.getAttribLocation(gl.program, 'a_Position');
	if(a_Position < 0) {
	console.log('Failed to get the storage location of a_Position');
	return -1;
	}
	gl.vertexAttribPointer(a_Position, 2, gl.FLOAT, false, 0, 0);
	// Enable the assignment to a_Position variable
	gl.enableVertexAttribArray(a_Position);
	return n;
	}
	function draw(gl, n, currentAngle, modelMatrix, u_ModelMatrix) {
	// Set the rotation matrix
	modelMatrix.setRotate(currentAngle, 0, 0, 1);
	modelMatrix.translate(0.35, 0, 0);
	// Pass the rotation matrix to the vertex shader
	gl.uniformMatrix4fv(u_ModelMatrix, false, modelMatrix.elements);
	// Clear
	gl.clear(gl.COLOR_BUFFER_BIT);
	// Draw the rectangle
	gl.drawArrays(gl.TRIANGLES, 0, n);
	}
	// Last time that this function was called
	var g_last = Date.now();
	function animate(angle) {
	// Calculate the elapsed time
	var now = Date.now();
	var elapsed = now - g_last;
	g_last = now;
	// Update the current rotation angle (adjusted by the elapsed time)
	var newAngle = angle + (ANGLE_STEP * elapsed) / 1000.0;
	return newAngle %= 360;
	}
	function up() {
	ANGLE_STEP += 10;
	}
	function down() {
	ANGLE_STEP -= 10;
	}