799 lines
20 KiB
HTML
799 lines
20 KiB
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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>JSDoc: Source: mat3.js</title>
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<script src="scripts/prettify/prettify.js"> </script>
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<script src="scripts/prettify/lang-css.js"> </script>
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<!--[if lt IE 9]>
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<script src="//html5shiv.googlecode.com/svn/trunk/html5.js"></script>
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<![endif]-->
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<link type="text/css" rel="stylesheet" href="styles/prettify-tomorrow.css">
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<link type="text/css" rel="stylesheet" href="styles/jsdoc-default.css">
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</head>
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<body>
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<div id="main">
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<h1 class="page-title">Source: mat3.js</h1>
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<section>
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<article>
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<pre class="prettyprint source linenums"><code>import * as glMatrix from "./common.js";
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/**
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* 3x3 Matrix
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* @module mat3
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*/
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/**
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* Creates a new identity mat3
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*
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* @returns {mat3} a new 3x3 matrix
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*/
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export function create() {
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let out = new glMatrix.ARRAY_TYPE(9);
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if(glMatrix.ARRAY_TYPE != Float32Array) {
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out[1] = 0;
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out[2] = 0;
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out[3] = 0;
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out[5] = 0;
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out[6] = 0;
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out[7] = 0;
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}
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out[0] = 1;
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out[4] = 1;
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out[8] = 1;
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return out;
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}
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/**
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* Copies the upper-left 3x3 values into the given mat3.
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*
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* @param {mat3} out the receiving 3x3 matrix
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* @param {mat4} a the source 4x4 matrix
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* @returns {mat3} out
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*/
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export function fromMat4(out, a) {
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out[0] = a[0];
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out[1] = a[1];
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out[2] = a[2];
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out[3] = a[4];
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out[4] = a[5];
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out[5] = a[6];
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out[6] = a[8];
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out[7] = a[9];
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out[8] = a[10];
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return out;
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}
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/**
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* Creates a new mat3 initialized with values from an existing matrix
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*
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* @param {mat3} a matrix to clone
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* @returns {mat3} a new 3x3 matrix
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*/
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export function clone(a) {
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let out = new glMatrix.ARRAY_TYPE(9);
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out[0] = a[0];
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out[1] = a[1];
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out[2] = a[2];
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out[3] = a[3];
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out[4] = a[4];
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out[5] = a[5];
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out[6] = a[6];
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out[7] = a[7];
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out[8] = a[8];
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return out;
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}
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/**
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* Copy the values from one mat3 to another
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*
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* @param {mat3} out the receiving matrix
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* @param {mat3} a the source matrix
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* @returns {mat3} out
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*/
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export function copy(out, a) {
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out[0] = a[0];
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out[1] = a[1];
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out[2] = a[2];
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out[3] = a[3];
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out[4] = a[4];
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out[5] = a[5];
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out[6] = a[6];
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out[7] = a[7];
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out[8] = a[8];
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return out;
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}
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/**
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* Create a new mat3 with the given values
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*
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* @param {Number} m00 Component in column 0, row 0 position (index 0)
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* @param {Number} m01 Component in column 0, row 1 position (index 1)
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* @param {Number} m02 Component in column 0, row 2 position (index 2)
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* @param {Number} m10 Component in column 1, row 0 position (index 3)
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* @param {Number} m11 Component in column 1, row 1 position (index 4)
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* @param {Number} m12 Component in column 1, row 2 position (index 5)
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* @param {Number} m20 Component in column 2, row 0 position (index 6)
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* @param {Number} m21 Component in column 2, row 1 position (index 7)
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* @param {Number} m22 Component in column 2, row 2 position (index 8)
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* @returns {mat3} A new mat3
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*/
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export function fromValues(m00, m01, m02, m10, m11, m12, m20, m21, m22) {
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let out = new glMatrix.ARRAY_TYPE(9);
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out[0] = m00;
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out[1] = m01;
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out[2] = m02;
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out[3] = m10;
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out[4] = m11;
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out[5] = m12;
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out[6] = m20;
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out[7] = m21;
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out[8] = m22;
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return out;
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}
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/**
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* Set the components of a mat3 to the given values
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*
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* @param {mat3} out the receiving matrix
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* @param {Number} m00 Component in column 0, row 0 position (index 0)
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* @param {Number} m01 Component in column 0, row 1 position (index 1)
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* @param {Number} m02 Component in column 0, row 2 position (index 2)
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* @param {Number} m10 Component in column 1, row 0 position (index 3)
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* @param {Number} m11 Component in column 1, row 1 position (index 4)
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* @param {Number} m12 Component in column 1, row 2 position (index 5)
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* @param {Number} m20 Component in column 2, row 0 position (index 6)
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* @param {Number} m21 Component in column 2, row 1 position (index 7)
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* @param {Number} m22 Component in column 2, row 2 position (index 8)
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* @returns {mat3} out
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*/
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export function set(out, m00, m01, m02, m10, m11, m12, m20, m21, m22) {
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out[0] = m00;
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out[1] = m01;
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out[2] = m02;
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out[3] = m10;
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out[4] = m11;
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out[5] = m12;
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out[6] = m20;
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out[7] = m21;
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out[8] = m22;
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return out;
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}
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/**
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* Set a mat3 to the identity matrix
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*
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* @param {mat3} out the receiving matrix
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* @returns {mat3} out
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*/
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export function identity(out) {
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out[0] = 1;
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out[1] = 0;
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out[2] = 0;
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out[3] = 0;
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out[4] = 1;
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out[5] = 0;
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out[6] = 0;
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out[7] = 0;
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out[8] = 1;
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return out;
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}
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/**
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* Transpose the values of a mat3
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*
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* @param {mat3} out the receiving matrix
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* @param {mat3} a the source matrix
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* @returns {mat3} out
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*/
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export function transpose(out, a) {
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// If we are transposing ourselves we can skip a few steps but have to cache some values
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if (out === a) {
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let a01 = a[1], a02 = a[2], a12 = a[5];
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out[1] = a[3];
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out[2] = a[6];
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out[3] = a01;
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out[5] = a[7];
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out[6] = a02;
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out[7] = a12;
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} else {
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out[0] = a[0];
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out[1] = a[3];
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out[2] = a[6];
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out[3] = a[1];
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out[4] = a[4];
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out[5] = a[7];
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out[6] = a[2];
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out[7] = a[5];
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out[8] = a[8];
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}
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return out;
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}
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/**
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* Inverts a mat3
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*
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* @param {mat3} out the receiving matrix
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* @param {mat3} a the source matrix
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* @returns {mat3} out
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*/
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export function invert(out, a) {
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let a00 = a[0], a01 = a[1], a02 = a[2];
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let a10 = a[3], a11 = a[4], a12 = a[5];
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let a20 = a[6], a21 = a[7], a22 = a[8];
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let b01 = a22 * a11 - a12 * a21;
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let b11 = -a22 * a10 + a12 * a20;
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let b21 = a21 * a10 - a11 * a20;
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// Calculate the determinant
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let det = a00 * b01 + a01 * b11 + a02 * b21;
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if (!det) {
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return null;
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}
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det = 1.0 / det;
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out[0] = b01 * det;
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out[1] = (-a22 * a01 + a02 * a21) * det;
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out[2] = (a12 * a01 - a02 * a11) * det;
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out[3] = b11 * det;
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out[4] = (a22 * a00 - a02 * a20) * det;
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out[5] = (-a12 * a00 + a02 * a10) * det;
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out[6] = b21 * det;
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out[7] = (-a21 * a00 + a01 * a20) * det;
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out[8] = (a11 * a00 - a01 * a10) * det;
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return out;
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}
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/**
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* Calculates the adjugate of a mat3
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*
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* @param {mat3} out the receiving matrix
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* @param {mat3} a the source matrix
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* @returns {mat3} out
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*/
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export function adjoint(out, a) {
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let a00 = a[0], a01 = a[1], a02 = a[2];
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let a10 = a[3], a11 = a[4], a12 = a[5];
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let a20 = a[6], a21 = a[7], a22 = a[8];
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out[0] = (a11 * a22 - a12 * a21);
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out[1] = (a02 * a21 - a01 * a22);
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out[2] = (a01 * a12 - a02 * a11);
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out[3] = (a12 * a20 - a10 * a22);
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out[4] = (a00 * a22 - a02 * a20);
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out[5] = (a02 * a10 - a00 * a12);
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out[6] = (a10 * a21 - a11 * a20);
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out[7] = (a01 * a20 - a00 * a21);
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out[8] = (a00 * a11 - a01 * a10);
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return out;
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}
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/**
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* Calculates the determinant of a mat3
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*
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* @param {mat3} a the source matrix
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* @returns {Number} determinant of a
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*/
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export function determinant(a) {
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let a00 = a[0], a01 = a[1], a02 = a[2];
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let a10 = a[3], a11 = a[4], a12 = a[5];
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let a20 = a[6], a21 = a[7], a22 = a[8];
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return a00 * (a22 * a11 - a12 * a21) + a01 * (-a22 * a10 + a12 * a20) + a02 * (a21 * a10 - a11 * a20);
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}
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/**
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* Multiplies two mat3's
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*
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* @param {mat3} out the receiving matrix
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* @param {mat3} a the first operand
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* @param {mat3} b the second operand
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* @returns {mat3} out
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*/
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export function multiply(out, a, b) {
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let a00 = a[0], a01 = a[1], a02 = a[2];
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let a10 = a[3], a11 = a[4], a12 = a[5];
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let a20 = a[6], a21 = a[7], a22 = a[8];
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let b00 = b[0], b01 = b[1], b02 = b[2];
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let b10 = b[3], b11 = b[4], b12 = b[5];
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let b20 = b[6], b21 = b[7], b22 = b[8];
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out[0] = b00 * a00 + b01 * a10 + b02 * a20;
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out[1] = b00 * a01 + b01 * a11 + b02 * a21;
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out[2] = b00 * a02 + b01 * a12 + b02 * a22;
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out[3] = b10 * a00 + b11 * a10 + b12 * a20;
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out[4] = b10 * a01 + b11 * a11 + b12 * a21;
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out[5] = b10 * a02 + b11 * a12 + b12 * a22;
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out[6] = b20 * a00 + b21 * a10 + b22 * a20;
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out[7] = b20 * a01 + b21 * a11 + b22 * a21;
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out[8] = b20 * a02 + b21 * a12 + b22 * a22;
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return out;
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}
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/**
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* Translate a mat3 by the given vector
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*
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* @param {mat3} out the receiving matrix
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* @param {mat3} a the matrix to translate
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* @param {vec2} v vector to translate by
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* @returns {mat3} out
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*/
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export function translate(out, a, v) {
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let a00 = a[0], a01 = a[1], a02 = a[2],
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a10 = a[3], a11 = a[4], a12 = a[5],
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a20 = a[6], a21 = a[7], a22 = a[8],
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x = v[0], y = v[1];
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out[0] = a00;
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out[1] = a01;
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out[2] = a02;
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out[3] = a10;
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out[4] = a11;
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out[5] = a12;
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out[6] = x * a00 + y * a10 + a20;
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out[7] = x * a01 + y * a11 + a21;
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out[8] = x * a02 + y * a12 + a22;
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return out;
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}
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/**
|
||
|
|
* Rotates a mat3 by the given angle
|
||
|
|
*
|
||
|
|
* @param {mat3} out the receiving matrix
|
||
|
|
* @param {mat3} a the matrix to rotate
|
||
|
|
* @param {Number} rad the angle to rotate the matrix by
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function rotate(out, a, rad) {
|
||
|
|
let a00 = a[0], a01 = a[1], a02 = a[2],
|
||
|
|
a10 = a[3], a11 = a[4], a12 = a[5],
|
||
|
|
a20 = a[6], a21 = a[7], a22 = a[8],
|
||
|
|
|
||
|
|
s = Math.sin(rad),
|
||
|
|
c = Math.cos(rad);
|
||
|
|
|
||
|
|
out[0] = c * a00 + s * a10;
|
||
|
|
out[1] = c * a01 + s * a11;
|
||
|
|
out[2] = c * a02 + s * a12;
|
||
|
|
|
||
|
|
out[3] = c * a10 - s * a00;
|
||
|
|
out[4] = c * a11 - s * a01;
|
||
|
|
out[5] = c * a12 - s * a02;
|
||
|
|
|
||
|
|
out[6] = a20;
|
||
|
|
out[7] = a21;
|
||
|
|
out[8] = a22;
|
||
|
|
return out;
|
||
|
|
};
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Scales the mat3 by the dimensions in the given vec2
|
||
|
|
*
|
||
|
|
* @param {mat3} out the receiving matrix
|
||
|
|
* @param {mat3} a the matrix to rotate
|
||
|
|
* @param {vec2} v the vec2 to scale the matrix by
|
||
|
|
* @returns {mat3} out
|
||
|
|
**/
|
||
|
|
export function scale(out, a, v) {
|
||
|
|
let x = v[0], y = v[1];
|
||
|
|
|
||
|
|
out[0] = x * a[0];
|
||
|
|
out[1] = x * a[1];
|
||
|
|
out[2] = x * a[2];
|
||
|
|
|
||
|
|
out[3] = y * a[3];
|
||
|
|
out[4] = y * a[4];
|
||
|
|
out[5] = y * a[5];
|
||
|
|
|
||
|
|
out[6] = a[6];
|
||
|
|
out[7] = a[7];
|
||
|
|
out[8] = a[8];
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Creates a matrix from a vector translation
|
||
|
|
* This is equivalent to (but much faster than):
|
||
|
|
*
|
||
|
|
* mat3.identity(dest);
|
||
|
|
* mat3.translate(dest, dest, vec);
|
||
|
|
*
|
||
|
|
* @param {mat3} out mat3 receiving operation result
|
||
|
|
* @param {vec2} v Translation vector
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function fromTranslation(out, v) {
|
||
|
|
out[0] = 1;
|
||
|
|
out[1] = 0;
|
||
|
|
out[2] = 0;
|
||
|
|
out[3] = 0;
|
||
|
|
out[4] = 1;
|
||
|
|
out[5] = 0;
|
||
|
|
out[6] = v[0];
|
||
|
|
out[7] = v[1];
|
||
|
|
out[8] = 1;
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Creates a matrix from a given angle
|
||
|
|
* This is equivalent to (but much faster than):
|
||
|
|
*
|
||
|
|
* mat3.identity(dest);
|
||
|
|
* mat3.rotate(dest, dest, rad);
|
||
|
|
*
|
||
|
|
* @param {mat3} out mat3 receiving operation result
|
||
|
|
* @param {Number} rad the angle to rotate the matrix by
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function fromRotation(out, rad) {
|
||
|
|
let s = Math.sin(rad), c = Math.cos(rad);
|
||
|
|
|
||
|
|
out[0] = c;
|
||
|
|
out[1] = s;
|
||
|
|
out[2] = 0;
|
||
|
|
|
||
|
|
out[3] = -s;
|
||
|
|
out[4] = c;
|
||
|
|
out[5] = 0;
|
||
|
|
|
||
|
|
out[6] = 0;
|
||
|
|
out[7] = 0;
|
||
|
|
out[8] = 1;
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Creates a matrix from a vector scaling
|
||
|
|
* This is equivalent to (but much faster than):
|
||
|
|
*
|
||
|
|
* mat3.identity(dest);
|
||
|
|
* mat3.scale(dest, dest, vec);
|
||
|
|
*
|
||
|
|
* @param {mat3} out mat3 receiving operation result
|
||
|
|
* @param {vec2} v Scaling vector
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function fromScaling(out, v) {
|
||
|
|
out[0] = v[0];
|
||
|
|
out[1] = 0;
|
||
|
|
out[2] = 0;
|
||
|
|
|
||
|
|
out[3] = 0;
|
||
|
|
out[4] = v[1];
|
||
|
|
out[5] = 0;
|
||
|
|
|
||
|
|
out[6] = 0;
|
||
|
|
out[7] = 0;
|
||
|
|
out[8] = 1;
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Copies the values from a mat2d into a mat3
|
||
|
|
*
|
||
|
|
* @param {mat3} out the receiving matrix
|
||
|
|
* @param {mat2d} a the matrix to copy
|
||
|
|
* @returns {mat3} out
|
||
|
|
**/
|
||
|
|
export function fromMat2d(out, a) {
|
||
|
|
out[0] = a[0];
|
||
|
|
out[1] = a[1];
|
||
|
|
out[2] = 0;
|
||
|
|
|
||
|
|
out[3] = a[2];
|
||
|
|
out[4] = a[3];
|
||
|
|
out[5] = 0;
|
||
|
|
|
||
|
|
out[6] = a[4];
|
||
|
|
out[7] = a[5];
|
||
|
|
out[8] = 1;
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Calculates a 3x3 matrix from the given quaternion
|
||
|
|
*
|
||
|
|
* @param {mat3} out mat3 receiving operation result
|
||
|
|
* @param {quat} q Quaternion to create matrix from
|
||
|
|
*
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function fromQuat(out, q) {
|
||
|
|
let x = q[0], y = q[1], z = q[2], w = q[3];
|
||
|
|
let x2 = x + x;
|
||
|
|
let y2 = y + y;
|
||
|
|
let z2 = z + z;
|
||
|
|
|
||
|
|
let xx = x * x2;
|
||
|
|
let yx = y * x2;
|
||
|
|
let yy = y * y2;
|
||
|
|
let zx = z * x2;
|
||
|
|
let zy = z * y2;
|
||
|
|
let zz = z * z2;
|
||
|
|
let wx = w * x2;
|
||
|
|
let wy = w * y2;
|
||
|
|
let wz = w * z2;
|
||
|
|
|
||
|
|
out[0] = 1 - yy - zz;
|
||
|
|
out[3] = yx - wz;
|
||
|
|
out[6] = zx + wy;
|
||
|
|
|
||
|
|
out[1] = yx + wz;
|
||
|
|
out[4] = 1 - xx - zz;
|
||
|
|
out[7] = zy - wx;
|
||
|
|
|
||
|
|
out[2] = zx - wy;
|
||
|
|
out[5] = zy + wx;
|
||
|
|
out[8] = 1 - xx - yy;
|
||
|
|
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix
|
||
|
|
*
|
||
|
|
* @param {mat3} out mat3 receiving operation result
|
||
|
|
* @param {mat4} a Mat4 to derive the normal matrix from
|
||
|
|
*
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function normalFromMat4(out, a) {
|
||
|
|
let a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3];
|
||
|
|
let a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7];
|
||
|
|
let a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11];
|
||
|
|
let a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15];
|
||
|
|
|
||
|
|
let b00 = a00 * a11 - a01 * a10;
|
||
|
|
let b01 = a00 * a12 - a02 * a10;
|
||
|
|
let b02 = a00 * a13 - a03 * a10;
|
||
|
|
let b03 = a01 * a12 - a02 * a11;
|
||
|
|
let b04 = a01 * a13 - a03 * a11;
|
||
|
|
let b05 = a02 * a13 - a03 * a12;
|
||
|
|
let b06 = a20 * a31 - a21 * a30;
|
||
|
|
let b07 = a20 * a32 - a22 * a30;
|
||
|
|
let b08 = a20 * a33 - a23 * a30;
|
||
|
|
let b09 = a21 * a32 - a22 * a31;
|
||
|
|
let b10 = a21 * a33 - a23 * a31;
|
||
|
|
let b11 = a22 * a33 - a23 * a32;
|
||
|
|
|
||
|
|
// Calculate the determinant
|
||
|
|
let det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
|
||
|
|
|
||
|
|
if (!det) {
|
||
|
|
return null;
|
||
|
|
}
|
||
|
|
det = 1.0 / det;
|
||
|
|
|
||
|
|
out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det;
|
||
|
|
out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det;
|
||
|
|
out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det;
|
||
|
|
|
||
|
|
out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det;
|
||
|
|
out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det;
|
||
|
|
out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det;
|
||
|
|
|
||
|
|
out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det;
|
||
|
|
out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det;
|
||
|
|
out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det;
|
||
|
|
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Generates a 2D projection matrix with the given bounds
|
||
|
|
*
|
||
|
|
* @param {mat3} out mat3 frustum matrix will be written into
|
||
|
|
* @param {number} width Width of your gl context
|
||
|
|
* @param {number} height Height of gl context
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function projection(out, width, height) {
|
||
|
|
out[0] = 2 / width;
|
||
|
|
out[1] = 0;
|
||
|
|
out[2] = 0;
|
||
|
|
out[3] = 0;
|
||
|
|
out[4] = -2 / height;
|
||
|
|
out[5] = 0;
|
||
|
|
out[6] = -1;
|
||
|
|
out[7] = 1;
|
||
|
|
out[8] = 1;
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Returns a string representation of a mat3
|
||
|
|
*
|
||
|
|
* @param {mat3} a matrix to represent as a string
|
||
|
|
* @returns {String} string representation of the matrix
|
||
|
|
*/
|
||
|
|
export function str(a) {
|
||
|
|
return 'mat3(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' +
|
||
|
|
a[3] + ', ' + a[4] + ', ' + a[5] + ', ' +
|
||
|
|
a[6] + ', ' + a[7] + ', ' + a[8] + ')';
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Returns Frobenius norm of a mat3
|
||
|
|
*
|
||
|
|
* @param {mat3} a the matrix to calculate Frobenius norm of
|
||
|
|
* @returns {Number} Frobenius norm
|
||
|
|
*/
|
||
|
|
export function frob(a) {
|
||
|
|
return(Math.sqrt(Math.pow(a[0], 2) + Math.pow(a[1], 2) + Math.pow(a[2], 2) + Math.pow(a[3], 2) + Math.pow(a[4], 2) + Math.pow(a[5], 2) + Math.pow(a[6], 2) + Math.pow(a[7], 2) + Math.pow(a[8], 2)))
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Adds two mat3's
|
||
|
|
*
|
||
|
|
* @param {mat3} out the receiving matrix
|
||
|
|
* @param {mat3} a the first operand
|
||
|
|
* @param {mat3} b the second operand
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function add(out, a, b) {
|
||
|
|
out[0] = a[0] + b[0];
|
||
|
|
out[1] = a[1] + b[1];
|
||
|
|
out[2] = a[2] + b[2];
|
||
|
|
out[3] = a[3] + b[3];
|
||
|
|
out[4] = a[4] + b[4];
|
||
|
|
out[5] = a[5] + b[5];
|
||
|
|
out[6] = a[6] + b[6];
|
||
|
|
out[7] = a[7] + b[7];
|
||
|
|
out[8] = a[8] + b[8];
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Subtracts matrix b from matrix a
|
||
|
|
*
|
||
|
|
* @param {mat3} out the receiving matrix
|
||
|
|
* @param {mat3} a the first operand
|
||
|
|
* @param {mat3} b the second operand
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function subtract(out, a, b) {
|
||
|
|
out[0] = a[0] - b[0];
|
||
|
|
out[1] = a[1] - b[1];
|
||
|
|
out[2] = a[2] - b[2];
|
||
|
|
out[3] = a[3] - b[3];
|
||
|
|
out[4] = a[4] - b[4];
|
||
|
|
out[5] = a[5] - b[5];
|
||
|
|
out[6] = a[6] - b[6];
|
||
|
|
out[7] = a[7] - b[7];
|
||
|
|
out[8] = a[8] - b[8];
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Multiply each element of the matrix by a scalar.
|
||
|
|
*
|
||
|
|
* @param {mat3} out the receiving matrix
|
||
|
|
* @param {mat3} a the matrix to scale
|
||
|
|
* @param {Number} b amount to scale the matrix's elements by
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function multiplyScalar(out, a, b) {
|
||
|
|
out[0] = a[0] * b;
|
||
|
|
out[1] = a[1] * b;
|
||
|
|
out[2] = a[2] * b;
|
||
|
|
out[3] = a[3] * b;
|
||
|
|
out[4] = a[4] * b;
|
||
|
|
out[5] = a[5] * b;
|
||
|
|
out[6] = a[6] * b;
|
||
|
|
out[7] = a[7] * b;
|
||
|
|
out[8] = a[8] * b;
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Adds two mat3's after multiplying each element of the second operand by a scalar value.
|
||
|
|
*
|
||
|
|
* @param {mat3} out the receiving vector
|
||
|
|
* @param {mat3} a the first operand
|
||
|
|
* @param {mat3} b the second operand
|
||
|
|
* @param {Number} scale the amount to scale b's elements by before adding
|
||
|
|
* @returns {mat3} out
|
||
|
|
*/
|
||
|
|
export function multiplyScalarAndAdd(out, a, b, scale) {
|
||
|
|
out[0] = a[0] + (b[0] * scale);
|
||
|
|
out[1] = a[1] + (b[1] * scale);
|
||
|
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out[2] = a[2] + (b[2] * scale);
|
||
|
|
out[3] = a[3] + (b[3] * scale);
|
||
|
|
out[4] = a[4] + (b[4] * scale);
|
||
|
|
out[5] = a[5] + (b[5] * scale);
|
||
|
|
out[6] = a[6] + (b[6] * scale);
|
||
|
|
out[7] = a[7] + (b[7] * scale);
|
||
|
|
out[8] = a[8] + (b[8] * scale);
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)
|
||
|
|
*
|
||
|
|
* @param {mat3} a The first matrix.
|
||
|
|
* @param {mat3} b The second matrix.
|
||
|
|
* @returns {Boolean} True if the matrices are equal, false otherwise.
|
||
|
|
*/
|
||
|
|
export function exactEquals(a, b) {
|
||
|
|
return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] &&
|
||
|
|
a[3] === b[3] && a[4] === b[4] && a[5] === b[5] &&
|
||
|
|
a[6] === b[6] && a[7] === b[7] && a[8] === b[8];
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Returns whether or not the matrices have approximately the same elements in the same position.
|
||
|
|
*
|
||
|
|
* @param {mat3} a The first matrix.
|
||
|
|
* @param {mat3} b The second matrix.
|
||
|
|
* @returns {Boolean} True if the matrices are equal, false otherwise.
|
||
|
|
*/
|
||
|
|
export function equals(a, b) {
|
||
|
|
let a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5], a6 = a[6], a7 = a[7], a8 = a[8];
|
||
|
|
let b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3], b4 = b[4], b5 = b[5], b6 = b[6], b7 = b[7], b8 = b[8];
|
||
|
|
return (Math.abs(a0 - b0) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a0), Math.abs(b0)) &&
|
||
|
|
Math.abs(a1 - b1) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a1), Math.abs(b1)) &&
|
||
|
|
Math.abs(a2 - b2) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a2), Math.abs(b2)) &&
|
||
|
|
Math.abs(a3 - b3) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a3), Math.abs(b3)) &&
|
||
|
|
Math.abs(a4 - b4) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a4), Math.abs(b4)) &&
|
||
|
|
Math.abs(a5 - b5) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a5), Math.abs(b5)) &&
|
||
|
|
Math.abs(a6 - b6) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a6), Math.abs(b6)) &&
|
||
|
|
Math.abs(a7 - b7) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a7), Math.abs(b7)) &&
|
||
|
|
Math.abs(a8 - b8) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a8), Math.abs(b8)));
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Alias for {@link mat3.multiply}
|
||
|
|
* @function
|
||
|
|
*/
|
||
|
|
export const mul = multiply;
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Alias for {@link mat3.subtract}
|
||
|
|
* @function
|
||
|
|
*/
|
||
|
|
export const sub = subtract;
|
||
|
|
</code></pre>
|
||
|
|
</article>
|
||
|
|
</section>
|
||
|
|
|
||
|
|
|
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|
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|
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|
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<h2><a href="index.html">Home</a></h2><h3>Modules</h3><ul><li><a href="module-glMatrix.html">glMatrix</a></li><li><a href="module-mat2.html">mat2</a></li><li><a href="module-mat2d.html">mat2d</a></li><li><a href="module-mat3.html">mat3</a></li><li><a href="module-mat4.html">mat4</a></li><li><a href="module-quat.html">quat</a></li><li><a href="module-quat2.html">quat2</a></li><li><a href="module-vec2.html">vec2</a></li><li><a href="module-vec3.html">vec3</a></li><li><a href="module-vec4.html">vec4</a></li></ul>
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Documentation generated by <a href="https://github.com/jsdoc3/jsdoc">JSDoc 3.5.5</a> on Fri Jul 13 2018 11:51:33 GMT+0200 (W. Europe Daylight Time)
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