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application.js
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application.js
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"use strict";
// WebGL
let canvas;
let gl;
let program;
let animating;
// Data
let vPosition;
let vNormal;
let materialDiffuse;
let materialSpecular;
let offset;
let objectLength;
let lightPosition = [3, 5, 0, 1];
let lightAmbient = [0.3, 0.3, 0.3, 1];
let lightDiffuse = [1, 1, 1, 1];
let lightSpecular = [1, 1, 1, 1];
// Controls
let lightAmbientInput;
let lightDiffuseInput;
let lightSpecularInput;
let skyBoxCheckbox;
let reflectionCheckbox;
let refractionCheckbox;
let shadowsCheckbox;
let camAnimationCheckbox;
let pointLightCheckbox;
let invertCheckbox;
let phongCheckbox;
let animationSpeed;
// File
let objUpload;
let mtlUpload;
let modelObj = "";
let modelMtl = "";
// Animation: Degree to rotate camera about the Y axis
let camDegree = 0;
// Animation: Amount to bounce up or down
let variance = 0;
// Animation: variance direction
let varianceDir = true;
// Initialize
window.onload = async function () {
canvas = document.getElementById("webgl");
animationSpeed = document.getElementById("animationSpeed");
skyBoxCheckbox = document.getElementById("skyBoxCheckbox");
reflectionCheckbox = document.getElementById("reflectionCheckbox");
refractionCheckbox = document.getElementById("refractionCheckbox");
shadowsCheckbox = document.getElementById("shadowsCheckbox");
camAnimationCheckbox = document.getElementById("camAnimationCheckbox");
pointLightCheckbox = document.getElementById("pointLightCheckbox");
invertCheckbox = document.getElementById("invertCheckbox");
phongCheckbox = document.getElementById("phongCheckbox");
lightAmbientInput = document.getElementById("lightAmbient");
lightDiffuseInput = document.getElementById("lightDiffuse");
lightSpecularInput = document.getElementById("lightSpecular");
objUpload = document.getElementById("objUpload");
mtlUpload = document.getElementById("mtlUpload");
// Listens for lightAmbient input and change colors
lightAmbientInput.oninput = function () {
if (lightAmbientInput.value == null || lightAmbientInput.value == "") {
lightAmbient = [0.1, 0.1, 0.1, 1];
}
else {
lightAmbient[0] = parseInt(lightAmbientInput.value.substr(1, 2), 16) / 255;
lightAmbient[1] = parseInt(lightAmbientInput.value.substr(3, 2), 16) / 255;
lightAmbient[2] = parseInt(lightAmbientInput.value.substr(5, 2), 16) / 255;
}
shaderChange();
};
// Listens for lightDiffuse input and change colors
lightDiffuseInput.oninput = function () {
if (lightDiffuseInput.value == null || lightDiffuseInput.value == "") {
lightDiffuse = [1, 1, 1, 1];
}
else {
lightDiffuse[0] = parseInt(lightDiffuseInput.value.substr(1, 2), 16) / 255;
lightDiffuse[1] = parseInt(lightDiffuseInput.value.substr(3, 2), 16) / 255;
lightDiffuse[2] = parseInt(lightDiffuseInput.value.substr(5, 2), 16) / 255;
}
shaderChange();
};
// Listens for lightSpecular input and change colors
lightSpecularInput.oninput = function () {
if (lightSpecularInput.value == null || lightSpecularInput.value == "") {
lightSpecular = [1, 1, 1, 1];
}
else {
lightSpecular[0] = parseInt(lightSpecularInput.value.substr(1, 2), 16) / 255;
lightSpecular[1] = parseInt(lightSpecularInput.value.substr(3, 2), 16) / 255;
lightSpecular[2] = parseInt(lightSpecularInput.value.substr(5, 2), 16) / 255;
}
shaderChange();
};
// Listens for obj file upload and load file
objUpload.onchange = await async function () {
// @ts-ignore
const files = this.files;
if (files.length === 0) {
console.log('No file is selected');
return;
}
const reader = new FileReader();
reader.onload = await async function (event) {
// @ts-ignore
modelObj = event.target.result;
// @ts-ignore
console.log(event.target.result);
await readIn();
};
reader.readAsText(files[0]);
};
// Listens for mtl file upload and load file
mtlUpload.onchange = await async function () {
// @ts-ignore
const files = this.files;
if (files.length === 0) {
console.log('No file is selected');
return;
}
const reader = new FileReader();
reader.onload = await async function (event) {
// @ts-ignore
modelMtl = event.target.result;
// @ts-ignore
console.log(event.target.result);
await readIn();
};
reader.readAsText(files[0]);
};
gl = WebGLUtils.setupWebGL(canvas, null);
if (!gl)
alert("WebGL isn't available");
gl.viewport(0, 0, canvas.width, canvas.height);
gl.enable(gl.DEPTH_TEST);
await download("car");
};
async function download(name, offsetR = [0, 0, 0]) {
const mtlXMLHttp = new XMLHttpRequest();
mtlXMLHttp.onreadystatechange = function () {
if (mtlXMLHttp.readyState == 4 && mtlXMLHttp.status == 200) {
modelMtl = mtlXMLHttp.responseText;
}
};
mtlXMLHttp.open("GET", "resources/" + name + ".mtl", false);
mtlXMLHttp.send();
const objXMLHttp = new XMLHttpRequest();
objXMLHttp.onreadystatechange = function () {
if (objXMLHttp.readyState == 4 && objXMLHttp.status == 200) {
modelObj = objXMLHttp.responseText;
}
};
objXMLHttp.open("GET", "resources/" + name + ".obj", false);
objXMLHttp.send();
offset = offsetR;
console.log("Download Success");
await readIn();
}
// Reads the obj files in
async function readIn() {
if (invertCheckbox.checked)
gl.clearColor(1, 1, 1, 1);
else
gl.clearColor(0, 0, 0, 1);
// Get info from link
// - Read .mtl before .obj
// - Keep temporary list of materials for the object
// - Read object in order
// - Add to list of vPosition, vNormal and shading stuff
// - When encounter more than 3 vertices in a face, use fan triangulation
vPosition = [];
vNormal = [];
materialDiffuse = [];
materialSpecular = [];
objectLength = [];
const offsetR = offset;
offset = [0, 0, 0];
// Ground
vPosition.push([20, -0.001, 20, 1]);
vPosition.push([-20, -0.001, 20, 1]);
vPosition.push([-20, -0.001, -20, 1]);
vPosition.push([-20, -0.001, -20, 1]);
vPosition.push([20, -0.001, -20, 1]);
vPosition.push([20, -0.001, 20, 1]);
for (let i = 0; i < 6; i++) {
vNormal.push([1, 0, 1, 0]);
materialDiffuse.push([0.5, 0.5, 0.5, 0]);
}
materialSpecular.push([1, 0, 0, 0]);
materialSpecular.push([0, 1, 0, 0]);
materialSpecular.push([0, 0, 1, 0]);
materialSpecular.push([0, 0, 1, 0]);
materialSpecular.push([0, 1, 0, 0]);
materialSpecular.push([1, 0, 0, 0]);
objectLength.push(vPosition.length);
offset = offsetR;
await parseObjectString(modelObj, modelMtl);
objectLength.push(vPosition.length);
shaderChange();
}
// Uses a file name to fetch and parse .obj files and it's corresponding .mtl files
async function parseObjectString(obj, mtl) {
// if (modelObj === "" || modelMtl === "") return
let listOfMaterials = [];
let newmtls = mtl.split('newmtl');
for (let mtlIndex = 1; mtlIndex < newmtls.length; mtlIndex++) {
// Create material
let material = [];
material.push(["notMe"]); // material[0] = name
material.push([1, 0, 1, 1]); // material[1] = diffuseColors
material.push([1, 1, 1, 1]); // material[2] = specularColors
// Add name
let thisMtl = newmtls[mtlIndex];
let lines = thisMtl.split('\n');
material[0] = lines[0].split(" ")[1];
// Parse material
for (let lineIndex = 0; lineIndex < lines.length; lineIndex++) {
let thisLine = lines[lineIndex];
let segs = thisLine.split(" ");
switch (segs[0]) {
case "Kd":
if (invertCheckbox.checked)
material[1] = [1 - +segs[1], 1 - +segs[2], 1 - +segs[3], 1];
else
material[1] = [+segs[1], +segs[2], +segs[3], 1];
break;
case "Ks":
if (invertCheckbox.checked)
material[2] = [+segs[1], +segs[2], +segs[3], 1];
else
material[2] = [1 - +segs[1], 1 - +segs[2], 1 - +segs[3], 1];
break;
default:
break;
}
}
listOfMaterials.push(material);
}
// List of data
let vertices = [];
let vertexNormals = [];
// Initialize for 1-index
vertices.push([0, 0, 0, 0]);
vertexNormals.push([0, 0, 0, 0]);
// goes to default material (purple)
let currentMtl = [];
currentMtl.push(["notMe"]); // material[0] = name
currentMtl.push([0.3, 0.3, 0.3, 1]); // material[1] = diffuseColors
currentMtl.push([1, 1, 1, 1]); // material[2] = specularColors
let lines = obj.split('\n');
lines.forEach(function (value, index) {
let segs = value.split(" ");
switch (segs[0]) {
case "v":
vertices.push([+segs[1] + offset[0], +segs[2] + offset[1], +segs[3] + offset[2], 1]);
break;
case "vn":
vertexNormals.push([+segs[1], +segs[2], +segs[3], 0]);
break;
case "usemtl":
if (segs[1] != currentMtl[0])
listOfMaterials.forEach(function (value) {
if (segs[1] == value[0])
currentMtl = value;
});
break;
case "f":
// Handles if a face needs to be fan triangulated
for (let i = 3; i < segs.length; i++) {
vPosition.push(vertices[+segs[1].split("/")[0]]);
vPosition.push(vertices[+segs[i - 1].split("/")[0]]);
vPosition.push(vertices[+segs[i].split("/")[0]]);
vNormal.push(vertexNormals[+segs[1].split("/")[2]]);
vNormal.push(vertexNormals[+segs[i - 1].split("/")[2]]);
vNormal.push(vertexNormals[+segs[i].split("/")[2]]);
materialDiffuse.push(currentMtl[1]);
materialDiffuse.push(currentMtl[1]);
materialDiffuse.push(currentMtl[1]);
materialSpecular.push(currentMtl[2]);
materialSpecular.push(currentMtl[2]);
materialSpecular.push(currentMtl[2]);
}
break;
default:
break;
}
});
}
// switch lighting modes
function shaderChange() {
if (phongCheckbox.checked)
program = initShaders(gl, "vShaderPhong", "fShaderPhong");
else
program = initShaders(gl, "vShaderGouraud", "fShaderGouraud");
gl.useProgram(program);
// vPosition
gl.bindBuffer(gl.ARRAY_BUFFER, gl.createBuffer());
gl.bufferData(gl.ARRAY_BUFFER, flatten(vPosition), gl.STATIC_DRAW);
const vPositionPosition = gl.getAttribLocation(program, "vPosition");
gl.vertexAttribPointer(vPositionPosition, 4, gl.FLOAT, false, 0, 0);
gl.enableVertexAttribArray(vPositionPosition);
// vNormal
gl.bindBuffer(gl.ARRAY_BUFFER, gl.createBuffer());
gl.bufferData(gl.ARRAY_BUFFER, flatten(vNormal), gl.STATIC_DRAW);
const vNormalPosition = gl.getAttribLocation(program, "vNormal");
gl.vertexAttribPointer(vNormalPosition, 4, gl.FLOAT, false, 0, 0);
gl.enableVertexAttribArray(vNormalPosition);
// materialDiffuse
gl.bindBuffer(gl.ARRAY_BUFFER, gl.createBuffer());
gl.bufferData(gl.ARRAY_BUFFER, flatten(materialDiffuse), gl.STATIC_DRAW);
const materialDiffusePosition = gl.getAttribLocation(program, "materialDiffuse");
gl.vertexAttribPointer(materialDiffusePosition, 4, gl.FLOAT, false, 0, 0);
gl.enableVertexAttribArray(materialDiffusePosition);
// materialSpecular
gl.bindBuffer(gl.ARRAY_BUFFER, gl.createBuffer());
gl.bufferData(gl.ARRAY_BUFFER, flatten(materialSpecular), gl.STATIC_DRAW);
const materialSpecularPosition = gl.getAttribLocation(program, "materialSpecular");
gl.vertexAttribPointer(materialSpecularPosition, 4, gl.FLOAT, false, 0, 0);
gl.enableVertexAttribArray(materialSpecularPosition);
// Light Calculation
gl.uniform4fv(gl.getUniformLocation(program, "lightPosition"), lightPosition);
gl.uniform4fv(gl.getUniformLocation(program, "lightAmbient"), lightAmbient);
gl.uniform4fv(gl.getUniformLocation(program, "lightDiffuse"), lightDiffuse);
gl.uniform4fv(gl.getUniformLocation(program, "lightSpecular"), lightSpecular);
gl.uniform1f(gl.getUniformLocation(program, "shininess"), 20);
if (!animating)
render();
}
// Animation
function render() {
document.getElementById("camAnimationDegree").innerText = String(camDegree.toFixed(1));
document.getElementById("camAnimationVariance").innerText = String(variance.toFixed(3));
let cameraDistance = +document.getElementById("cameraDistance").value;
if (cameraDistance !== 0) {
gl.clear(gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT);
// Toggle point light
if (pointLightCheckbox.checked)
gl.uniform1f(gl.getUniformLocation(program, "lightOn"), 1);
else
gl.uniform1f(gl.getUniformLocation(program, "lightOn"), 0);
// Projection Matrix
gl.uniformMatrix4fv(gl.getUniformLocation(program, "projectionMatrix"), false, flatten(perspective(document.getElementById("fieldOfViewY").value, canvas.width / canvas.height, 0.1, document.getElementById("perspectiveFar").value)));
let mvMatrix;
// Spectator View
let sin = Math.sin(radians(camDegree));
let cos = Math.cos(radians(camDegree));
mvMatrix = lookAt(mult(mat3(cos, 0, sin, 0, 1, 0, -sin, 0, cos), [cameraDistance, variance + 5, cameraDistance]), [0, 0, 0], [0, 1, 0]);
// Draw triangles
gl.uniformMatrix4fv(gl.getUniformLocation(program, "modelViewMatrix"), false, flatten(mvMatrix));
gl.uniformMatrix4fv(gl.getUniformLocation(program, "modelMatrix"), false, flatten(mvMatrix));
gl.drawArrays(gl.TRIANGLES, 0, objectLength[0] + objectLength[1]);
gl.uniform1f(gl.getUniformLocation(program, "reflection"), 0);
// Draw Shadows
if (shadowsCheckbox.checked && pointLightCheckbox.checked) {
let m = mat4();
m[3][3] = 0;
m[3][1] = -1 / lightPosition[1];
const shadowModelMatrix = mult(mult(translate(lightPosition[0], lightPosition[1], lightPosition[2]), m), translate(-lightPosition[0], -lightPosition[1], -lightPosition[2]));
gl.uniform1f(gl.getUniformLocation(program, "lightOn"), 0);
// Shadows
gl.uniformMatrix4fv(gl.getUniformLocation(program, "modelViewMatrix"), false, flatten(mult(mvMatrix, shadowModelMatrix)));
gl.drawArrays(gl.TRIANGLES, objectLength[0], objectLength[1]);
}
}
// Animation based on rendering ticks: (not relative to time, progresses one step per frame)
if (camAnimationCheckbox.checked) {
// Cam Degree
camDegree += +animationSpeed.value / 10;
if (camDegree > 359)
camDegree -= 360;
// Cam Variance
if (variance > 3)
varianceDir = false;
else if (variance < -3)
varianceDir = true;
// Cam Variance Direction
if (varianceDir)
variance += 3 * (+animationSpeed.value / 360);
else
variance -= 3 * (+animationSpeed.value / 360);
animating = true;
requestAnimationFrame(render);
}
else
animating = false;
}
// Keyboard Shortcuts
window.onkeypress = function (event) {
switch (event.key) {
// Toggle Shadows
case "S":
case "s":
shadowsCheckbox.checked = !shadowsCheckbox.checked;
if (!animating)
render();
break;
// Toggle point light
case "D":
case "d":
pointLightCheckbox.checked = !pointLightCheckbox.checked;
if (!animating)
render();
break;
// Toggle between Gouraud shading and Phong shading
case "Q":
case "q":
phongCheckbox.checked = !phongCheckbox.checked;
shaderChange();
break;
// Toggle X-Ray
case "X":
case "x":
invertCheckbox.checked = !invertCheckbox.checked;
readIn();
break;
// Toggle Animation
case "A":
case "a":
camAnimationCheckbox.checked = !camAnimationCheckbox.checked;
if (!animating)
render();
break;
// Change animation speed with numbers
case "1":
case "2":
case "3":
case "4":
case "5":
case "6":
case "7":
case "8":
case "9":
animationSpeed.value = event.key;
break;
case "0":
animationSpeed.value = "10";
break;
// Super Reset
case "R":
case "r":
document.getElementById("fieldOfViewY").value = "50";
document.getElementById("cameraDistance").value = "7";
document.getElementById("perspectiveFar").value = "30";
document.getElementById("lightX").value = "3";
document.getElementById("lightY").value = "5";
document.getElementById("lightZ").value = "0";
lightPosition = [3, 5, 0, 1];
lightAmbient = [0.3, 0.3, 0.3, 1];
lightDiffuse = [1, 1, 1, 1];
lightSpecular = [1, 1, 1, 1];
shadowsCheckbox.checked = false;
camAnimationCheckbox.checked = false;
pointLightCheckbox.checked = true;
phongCheckbox.checked = false;
invertCheckbox.checked = false;
animationSpeed.value = "1";
camDegree = 0;
variance = 0;
varianceDir = true;
readIn();
break;
default:
break;
}
};
//////////////////////////////////////////////////////////////////////////////
//
// Angel.js
//
//////////////////////////////////////////////////////////////////////////////
//----------------------------------------------------------------------------
//
// Helper functions
//
function _argumentsToArray(args) {
return [].concat.apply([], Array.prototype.slice.apply(args));
}
//----------------------------------------------------------------------------
function radians(degrees) {
return degrees * Math.PI / 180.0;
}
//----------------------------------------------------------------------------
//
// Vector Constructors
//
function vec2() {
var result = _argumentsToArray(arguments);
switch (result.length) {
case 0: result.push(0.0);
case 1: result.push(0.0);
}
return result.splice(0, 2);
}
function vec3() {
var result = _argumentsToArray(arguments);
switch (result.length) {
case 0: result.push(0.0);
case 1: result.push(0.0);
case 2: result.push(0.0);
}
return result.splice(0, 3);
}
function vec4() {
var result = _argumentsToArray(arguments);
switch (result.length) {
case 0: result.push(0.0);
case 1: result.push(0.0);
case 2: result.push(0.0);
case 3: result.push(1.0);
}
return result.splice(0, 4);
}
//----------------------------------------------------------------------------
//
// Matrix Constructors
//
function mat2() {
var v = _argumentsToArray(arguments);
var m = [];
switch (v.length) {
case 0:
v[0] = 1;
case 1:
m = [
vec2(v[0], 0.0),
vec2(0.0, v[0])
];
break;
default:
m.push(vec2(v));
v.splice(0, 2);
m.push(vec2(v));
break;
}
m.matrix = true;
return m;
}
//----------------------------------------------------------------------------
function mat3() {
var v = _argumentsToArray(arguments);
var m = [];
switch (v.length) {
case 0:
v[0] = 1;
case 1:
m = [
vec3(v[0], 0.0, 0.0),
vec3(0.0, v[0], 0.0),
vec3(0.0, 0.0, v[0])
];
break;
default:
m.push(vec3(v));
v.splice(0, 3);
m.push(vec3(v));
v.splice(0, 3);
m.push(vec3(v));
break;
}
m.matrix = true;
return m;
}
//----------------------------------------------------------------------------
function mat4() {
var v = _argumentsToArray(arguments);
var m = [];
switch (v.length) {
case 0:
v[0] = 1;
case 1:
m = [
vec4(v[0], 0.0, 0.0, 0.0),
vec4(0.0, v[0], 0.0, 0.0),
vec4(0.0, 0.0, v[0], 0.0),
vec4(0.0, 0.0, 0.0, v[0])
];
break;
default:
m.push(vec4(v));
v.splice(0, 4);
m.push(vec4(v));
v.splice(0, 4);
m.push(vec4(v));
v.splice(0, 4);
m.push(vec4(v));
break;
}
m.matrix = true;
return m;
}
//----------------------------------------------------------------------------
//
// Generic Mathematical Operations for Vectors and Matrices
//
function equal(u, v) {
if (u.length != v.length) {
return false;
}
if (u.matrix && v.matrix) {
for (var i = 0; i < u.length; ++i) {
if (u[i].length != v[i].length) {
return false;
}
for (var j = 0; j < u[i].length; ++j) {
if (u[i][j] !== v[i][j]) {
return false;
}
}
}
}
else if (u.matrix && !v.matrix || !u.matrix && v.matrix) {
return false;
}
else {
for (var i = 0; i < u.length; ++i) {
if (u[i] !== v[i]) {
return false;
}
}
}
return true;
}
//----------------------------------------------------------------------------
function add(u, v) {
var result = [];
if (u.matrix && v.matrix) {
if (u.length != v.length) {
throw "add(): trying to add matrices of different dimensions";
}
for (var i = 0; i < u.length; ++i) {
if (u[i].length != v[i].length) {
throw "add(): trying to add matrices of different dimensions";
}
result.push([]);
for (var j = 0; j < u[i].length; ++j) {
result[i].push(u[i][j] + v[i][j]);
}
}
result.matrix = true;
return result;
}
else if (u.matrix && !v.matrix || !u.matrix && v.matrix) {
throw "add(): trying to add matrix and non-matrix variables";
}
else {
if (u.length != v.length) {
throw "add(): vectors are not the same dimension";
}
for (var i = 0; i < u.length; ++i) {
result.push(u[i] + v[i]);
}
return result;
}
}
//----------------------------------------------------------------------------
function subtract(u, v) {
var result = [];
if (u.matrix && v.matrix) {
if (u.length != v.length) {
throw "subtract(): trying to subtract matrices" +
" of different dimensions";
}
for (var i = 0; i < u.length; ++i) {
if (u[i].length != v[i].length) {
throw "subtract(): trying to subtact matrices" +
" of different dimensions";
}
result.push([]);
for (var j = 0; j < u[i].length; ++j) {
result[i].push(u[i][j] - v[i][j]);
}
}
result.matrix = true;
return result;
}
else if (u.matrix && !v.matrix || !u.matrix && v.matrix) {
throw "subtact(): trying to subtact matrix and non-matrix variables";
}
else {
if (u.length != v.length) {
throw "subtract(): vectors are not the same length";
}
for (var i = 0; i < u.length; ++i) {
result.push(u[i] - v[i]);
}
return result;
}
}
//----------------------------------------------------------------------------
function mult(u, v) {
var result = [];
if (u.matrix && v.matrix) {
if (u.length != v.length) {
throw "mult(): trying to add matrices of different dimensions";
}
for (var i = 0; i < u.length; ++i) {
if (u[i].length != v[i].length) {
throw "mult(): trying to add matrices of different dimensions";
}
}
for (var i = 0; i < u.length; ++i) {
result.push([]);
for (var j = 0; j < v.length; ++j) {
var sum = 0.0;
for (var k = 0; k < u.length; ++k) {
sum += u[i][k] * v[k][j];
}
result[i].push(sum);
}
}
result.matrix = true;
return result;
}
if (u.matrix && (u.length == v.length)) {
for (var i = 0; i < v.length; i++) {
var sum = 0.0;
for (var j = 0; j < v.length; j++) {
sum += u[i][j] * v[j];
}
result.push(sum);
}
return result;
}
else {
if (u.length != v.length) {
throw "mult(): vectors are not the same dimension";
}
for (var i = 0; i < u.length; ++i) {
result.push(u[i] * v[i]);
}
return result;
}
}
//----------------------------------------------------------------------------
//
// Basic Transformation Matrix Generators
//
function translate(x, y, z) {
if (Array.isArray(x) && x.length == 3) {
z = x[2];
y = x[1];
x = x[0];
}
var result = mat4();
result[0][3] = x;
result[1][3] = y;
result[2][3] = z;
return result;
}
//----------------------------------------------------------------------------
function rotate(angle, axis) {
if (!Array.isArray(axis)) {
axis = [arguments[1], arguments[2], arguments[3]];
}
var v = normalize(axis);
var x = v[0];
var y = v[1];
var z = v[2];
var c = Math.cos(radians(angle));
var omc = 1.0 - c;
var s = Math.sin(radians(angle));
var result = mat4(vec4(x * x * omc + c, x * y * omc - z * s, x * z * omc + y * s, 0.0), vec4(x * y * omc + z * s, y * y * omc + c, y * z * omc - x * s, 0.0), vec4(x * z * omc - y * s, y * z * omc + x * s, z * z * omc + c, 0.0), vec4());
return result;
}
function rotateX(theta) {
var c = Math.cos(radians(theta));
var s = Math.sin(radians(theta));
var rx = mat4(1.0, 0.0, 0.0, 0.0, 0.0, c, -s, 0.0, 0.0, s, c, 0.0, 0.0, 0.0, 0.0, 1.0);
return rx;
}
function rotateY(theta) {
var c = Math.cos(radians(theta));
var s = Math.sin(radians(theta));
var ry = mat4(c, 0.0, s, 0.0, 0.0, 1.0, 0.0, 0.0, -s, 0.0, c, 0.0, 0.0, 0.0, 0.0, 1.0);
return ry;
}
function rotateZ(theta) {
var c = Math.cos(radians(theta));
var s = Math.sin(radians(theta));
var rz = mat4(c, -s, 0.0, 0.0, s, c, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0);
return rz;
}
//----------------------------------------------------------------------------
function scalem(x, y, z) {
if (Array.isArray(x) && x.length == 3) {
z = x[2];
y = x[1];
x = x[0];
}
var result = mat4();
result[0][0] = x;
result[1][1] = y;
result[2][2] = z;
return result;
}
//----------------------------------------------------------------------------
//
// ModelView Matrix Generators
//
function lookAt(eye, at, up) {
if (!Array.isArray(eye) || eye.length != 3) {
throw "lookAt(): first parameter [eye] must be an a vec3";
}
if (!Array.isArray(at) || at.length != 3) {
throw "lookAt(): second parameter [at] must be an a vec3";
}
if (!Array.isArray(up) || up.length != 3) {
throw "lookAt(): third parameter [up] must be an a vec3";
}
if (equal(eye, at)) {
return mat4();
}
var v = normalize(subtract(at, eye)); // view direction vector
var n = normalize(cross(v, up)); // perpendicular vector
var u = normalize(cross(n, v)); // "new" up vector
v = negate(v);
var result = mat4(vec4(n, -dot(n, eye)), vec4(u, -dot(u, eye)), vec4(v, -dot(v, eye)), vec4());
return result;
}
//----------------------------------------------------------------------------
//
// Projection Matrix Generators
//
function ortho(left, right, bottom, top, near, far) {
if (left == right) {
throw "ortho(): left and right are equal";
}
if (bottom == top) {
throw "ortho(): bottom and top are equal";
}
if (near == far) {
throw "ortho(): near and far are equal";
}
var w = right - left;
var h = top - bottom;
var d = far - near;
var result = mat4();
result[0][0] = 2.0 / w;
result[1][1] = 2.0 / h;
result[2][2] = -2.0 / d;
result[0][3] = -(left + right) / w;
result[1][3] = -(top + bottom) / h;
result[2][3] = -(near + far) / d;
return result;
}
//----------------------------------------------------------------------------
function perspective(fovy, aspect, near, far) {
var f = 1.0 / Math.tan(radians(fovy) / 2);
var d = far - near;
var result = mat4();
result[0][0] = f / aspect;
result[1][1] = f;
result[2][2] = -(near + far) / d;
result[2][3] = -2 * near * far / d;
result[3][2] = -1;
result[3][3] = 0.0;
return result;
}
//----------------------------------------------------------------------------
//
// Matrix Functions
//
function transpose(m) {
if (!m.matrix) {
return "transpose(): trying to transpose a non-matrix";
}
var result = [];
for (var i = 0; i < m.length; ++i) {
result.push([]);
for (var j = 0; j < m[i].length; ++j) {
result[i].push(m[j][i]);
}
}
result.matrix = true;
return result;
}
//----------------------------------------------------------------------------
//
// Vector Functions
//
function dot(u, v) {
if (u.length != v.length) {
throw "dot(): vectors are not the same dimension";
}
var sum = 0.0;
for (var i = 0; i < u.length; ++i) {
sum += u[i] * v[i];
}
return sum;
}
//----------------------------------------------------------------------------
function negate(u) {
var result = [];
for (var i = 0; i < u.length; ++i) {
result.push(-u[i]);
}
return result;
}
//----------------------------------------------------------------------------
function cross(u, v) {
if (!Array.isArray(u) || u.length < 3) {
throw "cross(): first argument is not a vector of at least 3";
}
if (!Array.isArray(v) || v.length < 3) {
throw "cross(): second argument is not a vector of at least 3";
}
var result = [
u[1] * v[2] - u[2] * v[1],
u[2] * v[0] - u[0] * v[2],
u[0] * v[1] - u[1] * v[0]
];
return result;
}
//----------------------------------------------------------------------------
function length2(u) {
return Math.sqrt(dot(u, u));
}
//----------------------------------------------------------------------------
function normalize(u, excludeLastComponent) {
if (excludeLastComponent) {
var last = u.pop();
}
var len = length2(u);
if (!isFinite(len)) {
throw "normalize: vector " + u + " has zero length";
}
for (var i = 0; i < u.length; ++i) {
u[i] /= len;
}
if (excludeLastComponent) {
u.push(last);
}
return u;
}
//----------------------------------------------------------------------------
function mix(u, v, s) {
if (typeof s !== "number") {
throw "mix: the last paramter " + s + " must be a number";
}
if (u.length != v.length) {
throw "vector dimension mismatch";
}
var result = [];
for (var i = 0; i < u.length; ++i) {
result.push((1.0 - s) * u[i] + s * v[i]);
}
return result;
}
//----------------------------------------------------------------------------
//
// Vector and Matrix functions
//
function scale(s, u) {
if (!Array.isArray(u)) {
throw "scale: second parameter " + u + " is not a vector";
}
var result = [];
for (var i = 0; i < u.length; ++i) {
result.push(s * u[i]);
}
return result;
}
//----------------------------------------------------------------------------
//
//
//
function flatten(v) {
if (v.matrix === true) {
v = transpose(v);
}
var n = v.length;
var elemsAreArrays = false;
if (Array.isArray(v[0])) {
elemsAreArrays = true;
n *= v[0].length;
}
var floats = new Float32Array(n);
if (elemsAreArrays) {
var idx = 0;
for (var i = 0; i < v.length; ++i) {
for (var j = 0; j < v[i].length; ++j) {
floats[idx++] = v[i][j];
}
}
}
else {
for (var i = 0; i < v.length; ++i) {
floats[i] = v[i];
}
}
return floats;
}
//----------------------------------------------------------------------------
var sizeof = {
'vec2': new Float32Array(flatten(vec2())).byteLength,
'vec3': new Float32Array(flatten(vec3())).byteLength,
'vec4': new Float32Array(flatten(vec4())).byteLength,
'mat2': new Float32Array(flatten(mat2())).byteLength,
'mat3': new Float32Array(flatten(mat3())).byteLength,
'mat4': new Float32Array(flatten(mat4())).byteLength