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bundle.js
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/******/ (function(modules) { // webpackBootstrap
/******/ // The module cache
/******/ var installedModules = {};
/******/
/******/ // The require function
/******/ function __webpack_require__(moduleId) {
/******/
/******/ // Check if module is in cache
/******/ if(installedModules[moduleId]) {
/******/ return installedModules[moduleId].exports;
/******/ }
/******/ // Create a new module (and put it into the cache)
/******/ var module = installedModules[moduleId] = {
/******/ i: moduleId,
/******/ l: false,
/******/ exports: {}
/******/ };
/******/
/******/ // Execute the module function
/******/ modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
/******/
/******/ // Flag the module as loaded
/******/ module.l = true;
/******/
/******/ // Return the exports of the module
/******/ return module.exports;
/******/ }
/******/
/******/
/******/ // expose the modules object (__webpack_modules__)
/******/ __webpack_require__.m = modules;
/******/
/******/ // expose the module cache
/******/ __webpack_require__.c = installedModules;
/******/
/******/ // define getter function for harmony exports
/******/ __webpack_require__.d = function(exports, name, getter) {
/******/ if(!__webpack_require__.o(exports, name)) {
/******/ Object.defineProperty(exports, name, {
/******/ configurable: false,
/******/ enumerable: true,
/******/ get: getter
/******/ });
/******/ }
/******/ };
/******/
/******/ // getDefaultExport function for compatibility with non-harmony modules
/******/ __webpack_require__.n = function(module) {
/******/ var getter = module && module.__esModule ?
/******/ function getDefault() { return module['default']; } :
/******/ function getModuleExports() { return module; };
/******/ __webpack_require__.d(getter, 'a', getter);
/******/ return getter;
/******/ };
/******/
/******/ // Object.prototype.hasOwnProperty.call
/******/ __webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
/******/
/******/ // __webpack_public_path__
/******/ __webpack_require__.p = "dist/";
/******/
/******/ // Load entry module and return exports
/******/ return __webpack_require__(__webpack_require__.s = 19);
/******/ })
/************************************************************************/
/******/ ([
/* 0 */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
/* harmony export (binding) */ __webpack_require__.d(__webpack_exports__, "a", function() { return ARRAY_TYPE; });
/* unused harmony export setMatrixArrayType */
/* unused harmony export toRadian */
/* unused harmony export equals */
/* Copyright (c) 2015, Brandon Jones, Colin MacKenzie IV.
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE. */
/**
* Common utilities
* @module glMatrix
*/
// Configuration Constants
const EPSILON = 0.000001;
/* harmony export (immutable) */ __webpack_exports__["b"] = EPSILON;
let ARRAY_TYPE = (typeof Float32Array !== 'undefined') ? Float32Array : Array;
const RANDOM = Math.random;
/* harmony export (immutable) */ __webpack_exports__["c"] = RANDOM;
/**
* Sets the type of array used when creating new vectors and matrices
*
* @param {Type} type Array type, such as Float32Array or Array
*/
function setMatrixArrayType(type) {
ARRAY_TYPE = type;
}
const degree = Math.PI / 180;
/**
* Convert Degree To Radian
*
* @param {Number} a Angle in Degrees
*/
function toRadian(a) {
return a * degree;
}
/**
* Tests whether or not the arguments have approximately the same value, within an absolute
* or relative tolerance of glMatrix.EPSILON (an absolute tolerance is used for values less
* than or equal to 1.0, and a relative tolerance is used for larger values)
*
* @param {Number} a The first number to test.
* @param {Number} b The second number to test.
* @returns {Boolean} True if the numbers are approximately equal, false otherwise.
*/
function equals(a, b) {
return Math.abs(a - b) <= EPSILON*Math.max(1.0, Math.abs(a), Math.abs(b));
}
/***/ }),
/* 1 */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_0__gl_matrix_common__ = __webpack_require__(0);
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_1__gl_matrix_mat2__ = __webpack_require__(20);
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_2__gl_matrix_mat2d__ = __webpack_require__(21);
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_3__gl_matrix_mat3__ = __webpack_require__(5);
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_4__gl_matrix_mat4__ = __webpack_require__(22);
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_5__gl_matrix_quat__ = __webpack_require__(23);
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_6__gl_matrix_vec2__ = __webpack_require__(24);
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_7__gl_matrix_vec3__ = __webpack_require__(6);
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_8__gl_matrix_vec4__ = __webpack_require__(7);
/* unused harmony reexport glMatrix */
/* unused harmony reexport mat2 */
/* unused harmony reexport mat2d */
/* unused harmony reexport mat3 */
/* harmony reexport (module object) */ __webpack_require__.d(__webpack_exports__, "a", function() { return __WEBPACK_IMPORTED_MODULE_4__gl_matrix_mat4__; });
/* unused harmony reexport quat */
/* unused harmony reexport vec2 */
/* harmony reexport (module object) */ __webpack_require__.d(__webpack_exports__, "b", function() { return __WEBPACK_IMPORTED_MODULE_7__gl_matrix_vec3__; });
/* harmony reexport (module object) */ __webpack_require__.d(__webpack_exports__, "c", function() { return __WEBPACK_IMPORTED_MODULE_8__gl_matrix_vec4__; });
/**
* @fileoverview gl-matrix - High performance matrix and vector operations
* @author Brandon Jones
* @author Colin MacKenzie IV
* @version 2.4.0
*/
/* Copyright (c) 2015, Brandon Jones, Colin MacKenzie IV.
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE. */
// END HEADER
/***/ }),
/* 2 */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
/* harmony export (binding) */ __webpack_require__.d(__webpack_exports__, "a", function() { return gl; });
/* harmony export (immutable) */ __webpack_exports__["b"] = setGL;
var gl;
function setGL(_gl) {
gl = _gl;
}
/***/ }),
/* 3 */
/***/ (function(module, exports) {
module.exports = invert;
/**
* Inverts a mat4
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the source matrix
* @returns {mat4} out
*/
function invert(out, a) {
var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3],
a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7],
a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11],
a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15],
b00 = a00 * a11 - a01 * a10,
b01 = a00 * a12 - a02 * a10,
b02 = a00 * a13 - a03 * a10,
b03 = a01 * a12 - a02 * a11,
b04 = a01 * a13 - a03 * a11,
b05 = a02 * a13 - a03 * a12,
b06 = a20 * a31 - a21 * a30,
b07 = a20 * a32 - a22 * a30,
b08 = a20 * a33 - a23 * a30,
b09 = a21 * a32 - a22 * a31,
b10 = a21 * a33 - a23 * a31,
b11 = a22 * a33 - a23 * a32,
// Calculate the determinant
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] = (a02 * b10 - a01 * b11 - a03 * b09) * det;
out[2] = (a31 * b05 - a32 * b04 + a33 * b03) * det;
out[3] = (a22 * b04 - a21 * b05 - a23 * b03) * det;
out[4] = (a12 * b08 - a10 * b11 - a13 * b07) * det;
out[5] = (a00 * b11 - a02 * b08 + a03 * b07) * det;
out[6] = (a32 * b02 - a30 * b05 - a33 * b01) * det;
out[7] = (a20 * b05 - a22 * b02 + a23 * b01) * det;
out[8] = (a10 * b10 - a11 * b08 + a13 * b06) * det;
out[9] = (a01 * b08 - a00 * b10 - a03 * b06) * det;
out[10] = (a30 * b04 - a31 * b02 + a33 * b00) * det;
out[11] = (a21 * b02 - a20 * b04 - a23 * b00) * det;
out[12] = (a11 * b07 - a10 * b09 - a12 * b06) * det;
out[13] = (a00 * b09 - a01 * b07 + a02 * b06) * det;
out[14] = (a31 * b01 - a30 * b03 - a32 * b00) * det;
out[15] = (a20 * b03 - a21 * b01 + a22 * b00) * det;
return out;
};
/***/ }),
/* 4 */
/***/ (function(module, exports) {
module.exports = normalize;
/**
* Normalize a vec3
*
* @param {vec3} out the receiving vector
* @param {vec3} a vector to normalize
* @returns {vec3} out
*/
function normalize(out, a) {
var x = a[0],
y = a[1],
z = a[2]
var len = x*x + y*y + z*z
if (len > 0) {
//TODO: evaluate use of glm_invsqrt here?
len = 1 / Math.sqrt(len)
out[0] = a[0] * len
out[1] = a[1] * len
out[2] = a[2] * len
}
return out
}
/***/ }),
/* 5 */
/***/ (function(module, __webpack_exports__, __webpack_require__) {
"use strict";
/* harmony export (immutable) */ __webpack_exports__["a"] = create;
/* unused harmony export fromMat4 */
/* unused harmony export clone */
/* unused harmony export copy */
/* unused harmony export fromValues */
/* unused harmony export set */
/* unused harmony export identity */
/* unused harmony export transpose */
/* unused harmony export invert */
/* unused harmony export adjoint */
/* unused harmony export determinant */
/* unused harmony export multiply */
/* unused harmony export translate */
/* unused harmony export rotate */
/* unused harmony export scale */
/* unused harmony export fromTranslation */
/* unused harmony export fromRotation */
/* unused harmony export fromScaling */
/* unused harmony export fromMat2d */
/* unused harmony export fromQuat */
/* unused harmony export normalFromMat4 */
/* unused harmony export projection */
/* unused harmony export str */
/* unused harmony export frob */
/* unused harmony export add */
/* unused harmony export subtract */
/* unused harmony export multiplyScalar */
/* unused harmony export multiplyScalarAndAdd */
/* unused harmony export exactEquals */
/* unused harmony export equals */
/* harmony import */ var __WEBPACK_IMPORTED_MODULE_0__common__ = __webpack_require__(0);
/* Copyright (c) 2015, Brandon Jones, Colin MacKenzie IV.
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE. */
/**
* 3x3 Matrix
* @module mat3
*/
/**
* Creates a new identity mat3
*
* @returns {mat3} a new 3x3 matrix
*/
function create() {
let out = new __WEBPACK_IMPORTED_MODULE_0__common__["a" /* ARRAY_TYPE */](9);
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 1;
out[5] = 0;
out[6] = 0;
out[7] = 0;
out[8] = 1;
return out;
}
/**
* Copies the upper-left 3x3 values into the given mat3.
*
* @param {mat3} out the receiving 3x3 matrix
* @param {mat4} a the source 4x4 matrix
* @returns {mat3} out
*/
function fromMat4(out, a) {
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[4];
out[4] = a[5];
out[5] = a[6];
out[6] = a[8];
out[7] = a[9];
out[8] = a[10];
return out;
}
/**
* Creates a new mat3 initialized with values from an existing matrix
*
* @param {mat3} a matrix to clone
* @returns {mat3} a new 3x3 matrix
*/
function clone(a) {
let out = new __WEBPACK_IMPORTED_MODULE_0__common__["a" /* ARRAY_TYPE */](9);
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[3];
out[4] = a[4];
out[5] = a[5];
out[6] = a[6];
out[7] = a[7];
out[8] = a[8];
return out;
}
/**
* Copy the values from one mat3 to another
*
* @param {mat3} out the receiving matrix
* @param {mat3} a the source matrix
* @returns {mat3} out
*/
function copy(out, a) {
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[3];
out[4] = a[4];
out[5] = a[5];
out[6] = a[6];
out[7] = a[7];
out[8] = a[8];
return out;
}
/**
* Create a new mat3 with the given values
*
* @param {Number} m00 Component in column 0, row 0 position (index 0)
* @param {Number} m01 Component in column 0, row 1 position (index 1)
* @param {Number} m02 Component in column 0, row 2 position (index 2)
* @param {Number} m10 Component in column 1, row 0 position (index 3)
* @param {Number} m11 Component in column 1, row 1 position (index 4)
* @param {Number} m12 Component in column 1, row 2 position (index 5)
* @param {Number} m20 Component in column 2, row 0 position (index 6)
* @param {Number} m21 Component in column 2, row 1 position (index 7)
* @param {Number} m22 Component in column 2, row 2 position (index 8)
* @returns {mat3} A new mat3
*/
function fromValues(m00, m01, m02, m10, m11, m12, m20, m21, m22) {
let out = new __WEBPACK_IMPORTED_MODULE_0__common__["a" /* ARRAY_TYPE */](9);
out[0] = m00;
out[1] = m01;
out[2] = m02;
out[3] = m10;
out[4] = m11;
out[5] = m12;
out[6] = m20;
out[7] = m21;
out[8] = m22;
return out;
}
/**
* Set the components of a mat3 to the given values
*
* @param {mat3} out the receiving matrix
* @param {Number} m00 Component in column 0, row 0 position (index 0)
* @param {Number} m01 Component in column 0, row 1 position (index 1)
* @param {Number} m02 Component in column 0, row 2 position (index 2)
* @param {Number} m10 Component in column 1, row 0 position (index 3)
* @param {Number} m11 Component in column 1, row 1 position (index 4)
* @param {Number} m12 Component in column 1, row 2 position (index 5)
* @param {Number} m20 Component in column 2, row 0 position (index 6)
* @param {Number} m21 Component in column 2, row 1 position (index 7)
* @param {Number} m22 Component in column 2, row 2 position (index 8)
* @returns {mat3} out
*/
function set(out, m00, m01, m02, m10, m11, m12, m20, m21, m22) {
out[0] = m00;
out[1] = m01;
out[2] = m02;
out[3] = m10;
out[4] = m11;
out[5] = m12;
out[6] = m20;
out[7] = m21;
out[8] = m22;
return out;
}
/**
* Set a mat3 to the identity matrix
*
* @param {mat3} out the receiving matrix
* @returns {mat3} out
*/
function identity(out) {
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 1;
out[5] = 0;
out[6] = 0;
out[7] = 0;
out[8] = 1;
return out;
}
/**
* Transpose the values of a mat3
*
* @param {mat3} out the receiving matrix
* @param {mat3} a the source matrix
* @returns {mat3} out
*/
function transpose(out, a) {
// If we are transposing ourselves we can skip a few steps but have to cache some values
if (out === a) {
let a01 = a[1], a02 = a[2], a12 = a[5];
out[1] = a[3];
out[2] = a[6];
out[3] = a01;
out[5] = a[7];
out[6] = a02;
out[7] = a12;
} else {
out[0] = a[0];
out[1] = a[3];
out[2] = a[6];
out[3] = a[1];
out[4] = a[4];
out[5] = a[7];
out[6] = a[2];
out[7] = a[5];
out[8] = a[8];
}
return out;
}
/**
* Inverts a mat3
*
* @param {mat3} out the receiving matrix
* @param {mat3} a the source matrix
* @returns {mat3} out
*/
function invert(out, a) {
let a00 = a[0], a01 = a[1], a02 = a[2];
let a10 = a[3], a11 = a[4], a12 = a[5];
let a20 = a[6], a21 = a[7], a22 = a[8];
let b01 = a22 * a11 - a12 * a21;
let b11 = -a22 * a10 + a12 * a20;
let b21 = a21 * a10 - a11 * a20;
// Calculate the determinant
let det = a00 * b01 + a01 * b11 + a02 * b21;
if (!det) {
return null;
}
det = 1.0 / det;
out[0] = b01 * det;
out[1] = (-a22 * a01 + a02 * a21) * det;
out[2] = (a12 * a01 - a02 * a11) * det;
out[3] = b11 * det;
out[4] = (a22 * a00 - a02 * a20) * det;
out[5] = (-a12 * a00 + a02 * a10) * det;
out[6] = b21 * det;
out[7] = (-a21 * a00 + a01 * a20) * det;
out[8] = (a11 * a00 - a01 * a10) * det;
return out;
}
/**
* Calculates the adjugate of a mat3
*
* @param {mat3} out the receiving matrix
* @param {mat3} a the source matrix
* @returns {mat3} out
*/
function adjoint(out, a) {
let a00 = a[0], a01 = a[1], a02 = a[2];
let a10 = a[3], a11 = a[4], a12 = a[5];
let a20 = a[6], a21 = a[7], a22 = a[8];
out[0] = (a11 * a22 - a12 * a21);
out[1] = (a02 * a21 - a01 * a22);
out[2] = (a01 * a12 - a02 * a11);
out[3] = (a12 * a20 - a10 * a22);
out[4] = (a00 * a22 - a02 * a20);
out[5] = (a02 * a10 - a00 * a12);
out[6] = (a10 * a21 - a11 * a20);
out[7] = (a01 * a20 - a00 * a21);
out[8] = (a00 * a11 - a01 * a10);
return out;
}
/**
* Calculates the determinant of a mat3
*
* @param {mat3} a the source matrix
* @returns {Number} determinant of a
*/
function determinant(a) {
let a00 = a[0], a01 = a[1], a02 = a[2];
let a10 = a[3], a11 = a[4], a12 = a[5];
let a20 = a[6], a21 = a[7], a22 = a[8];
return a00 * (a22 * a11 - a12 * a21) + a01 * (-a22 * a10 + a12 * a20) + a02 * (a21 * a10 - a11 * a20);
}
/**
* Multiplies two mat3's
*
* @param {mat3} out the receiving matrix
* @param {mat3} a the first operand
* @param {mat3} b the second operand
* @returns {mat3} out
*/
function multiply(out, a, b) {
let a00 = a[0], a01 = a[1], a02 = a[2];
let a10 = a[3], a11 = a[4], a12 = a[5];
let a20 = a[6], a21 = a[7], a22 = a[8];
let b00 = b[0], b01 = b[1], b02 = b[2];
let b10 = b[3], b11 = b[4], b12 = b[5];
let b20 = b[6], b21 = b[7], b22 = b[8];
out[0] = b00 * a00 + b01 * a10 + b02 * a20;
out[1] = b00 * a01 + b01 * a11 + b02 * a21;
out[2] = b00 * a02 + b01 * a12 + b02 * a22;
out[3] = b10 * a00 + b11 * a10 + b12 * a20;
out[4] = b10 * a01 + b11 * a11 + b12 * a21;
out[5] = b10 * a02 + b11 * a12 + b12 * a22;
out[6] = b20 * a00 + b21 * a10 + b22 * a20;
out[7] = b20 * a01 + b21 * a11 + b22 * a21;
out[8] = b20 * a02 + b21 * a12 + b22 * a22;
return out;
}
/**
* Translate a mat3 by the given vector
*
* @param {mat3} out the receiving matrix
* @param {mat3} a the matrix to translate
* @param {vec2} v vector to translate by
* @returns {mat3} out
*/
function translate(out, a, v) {
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],
x = v[0], y = v[1];
out[0] = a00;
out[1] = a01;
out[2] = a02;
out[3] = a10;
out[4] = a11;
out[5] = a12;
out[6] = x * a00 + y * a10 + a20;
out[7] = x * a01 + y * a11 + a21;
out[8] = x * a02 + y * a12 + a22;
return out;
}
/**
* 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
*/
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
**/
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
*/
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
*/
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
*/
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
**/
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
*/
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
*/
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
*/
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
*/
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
*/
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
*/
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