From 6fca2d6f9eccb9006fe1693d7c4c3580abef03a7 Mon Sep 17 00:00:00 2001
From: Ben <36240171+benkyd@users.noreply.github.com>
Date: Sun, 27 Feb 2022 23:52:18 +0000
Subject: [PATCH] OpENgL
Former-commit-id: 64c9625b85553dcdb32306c9e03d69dc3d913ef3
---
client/public/brick-renderer/basic.fs | 28 +
client/public/brick-renderer/basic.vs | 24 +
client/public/brick-renderer/box.mjs | 134 +
client/public/brick-renderer/glm.mjs | 4470 +++++++++++++++
client/public/brick-renderer/index.mjs | 82 +
client/public/brick-renderer/shader.mjs | 127 +
client/public/gl-matrix.js | 6609 -----------------------
client/public/index.html | 69 +-
client/public/index.js | 125 -
client/public/index.mjs | 10 +
client/public/utils.js | 374 --
11 files changed, 4880 insertions(+), 7172 deletions(-)
create mode 100644 client/public/brick-renderer/basic.fs
create mode 100644 client/public/brick-renderer/basic.vs
create mode 100644 client/public/brick-renderer/box.mjs
create mode 100644 client/public/brick-renderer/glm.mjs
create mode 100644 client/public/brick-renderer/index.mjs
create mode 100644 client/public/brick-renderer/shader.mjs
delete mode 100644 client/public/gl-matrix.js
delete mode 100644 client/public/index.js
create mode 100644 client/public/index.mjs
delete mode 100644 client/public/utils.js
diff --git a/client/public/brick-renderer/basic.fs b/client/public/brick-renderer/basic.fs
new file mode 100644
index 0000000..0f83d05
--- /dev/null
+++ b/client/public/brick-renderer/basic.fs
@@ -0,0 +1,28 @@
+#version 300 es
+precision highp float;
+
+uniform SceneUniforms {
+ mat4 viewProj;
+ vec4 eyePosition;
+ vec4 lightPosition;
+} uScene;
+
+uniform sampler2D tex;
+
+in vec3 vPosition;
+in vec3 vNormal;
+
+out vec4 fragColor;
+
+void main() {
+ vec3 color = vNormal;
+
+ vec3 normal = normalize(vNormal);
+ vec3 eyeVec = normalize(uScene.eyePosition.xyz - vPosition);
+ vec3 incidentVec = normalize(vPosition - uScene.lightPosition.xyz);
+ vec3 lightVec = -incidentVec;
+ float diffuse = max(dot(lightVec, normal), 0.0);
+ float highlight = pow(max(dot(eyeVec, reflect(incidentVec, normal)), 0.0), 100.0);
+ float ambient = 0.1;
+ fragColor = vec4(color * (diffuse + highlight + ambient), 1.0);
+}
diff --git a/client/public/brick-renderer/basic.vs b/client/public/brick-renderer/basic.vs
new file mode 100644
index 0000000..08659d0
--- /dev/null
+++ b/client/public/brick-renderer/basic.vs
@@ -0,0 +1,24 @@
+#version 300 es
+
+layout(std140, column_major) uniform;
+
+layout(location=0) in vec4 position;
+layout(location=1) in vec4 normal;
+
+uniform SceneUniforms {
+ mat4 viewProj;
+ vec4 eyePosition;
+ vec4 lightPosition;
+} uScene;
+
+uniform mat4 uModel;
+
+out vec3 vPosition;
+out vec3 vNormal;
+
+void main() {
+ vec4 worldPosition = uModel * position;
+ vPosition = worldPosition.xyz;
+ vNormal = (uModel * normal).xyz;
+ gl_Position = uScene.viewProj * worldPosition;
+}
diff --git a/client/public/brick-renderer/box.mjs b/client/public/brick-renderer/box.mjs
new file mode 100644
index 0000000..4f1c21d
--- /dev/null
+++ b/client/public/brick-renderer/box.mjs
@@ -0,0 +1,134 @@
+
+export default class Box {
+ constructor(gl, options) {
+ this.gl = gl;
+ this.options = options;
+
+ this.vao = gl.createVertexArray();
+ gl.bindVertexArray(this.vao);
+ }
+
+ get vertexCount() {
+ return this.verticies;
+ }
+
+ bind() {
+ this.gl.bindVertexArray(this.vao);
+ }
+
+ create(options) {
+ const { positions, normals } = this.boxVerticies(options);
+ this.verticies = positions.length / 3;
+
+ this.gl.bindVertexArray(this.vao);
+
+ const positionBuffer = this.gl.createBuffer();
+ this.gl.bindBuffer(this.gl.ARRAY_BUFFER, positionBuffer);
+ this.gl.bufferData(this.gl.ARRAY_BUFFER, positions, this.gl.STATIC_DRAW);
+ this.gl.vertexAttribPointer(0, 3, this.gl.FLOAT, false, 0, 0);
+ this.gl.enableVertexAttribArray(0);
+
+ const normalBuffer = this.gl.createBuffer();
+ this.gl.bindBuffer(this.gl.ARRAY_BUFFER, normalBuffer);
+ this.gl.bufferData(this.gl.ARRAY_BUFFER, normals, this.gl.STATIC_DRAW);
+ this.gl.vertexAttribPointer(2, 3, this.gl.FLOAT, false, 0, 0);
+ this.gl.enableVertexAttribArray(1);
+ }
+
+ // TODO: Use indicies ffs
+ boxVerticies(options) {
+ options = options || {};
+
+ const dimensions = options.dimensions || [1, 1, 1];
+ const position = options.position || [-dimensions[0] / 2, -dimensions[1] / 2, -dimensions[2] / 2];
+ const x = position[0];
+ const y = position[1];
+ const z = position[2];
+ const width = dimensions[0];
+ const height = dimensions[1];
+ const depth = dimensions[2];
+
+ const fbl = { x, y, z: z + depth };
+ const fbr = { x: x + width, y, z: z + depth };
+ const ftl = { x, y: y + height, z: z + depth };
+ const ftr = { x: x + width, y: y + height, z: z + depth };
+ const bbl = { x, y, z };
+ const bbr = { x: x + width, y, z };
+ const btl = { x, y: y + height, z };
+ const btr = { x: x + width, y: y + height, z };
+
+ const positions = new Float32Array([
+ // front
+ fbl.x, fbl.y, fbl.z,
+ fbr.x, fbr.y, fbr.z,
+ ftl.x, ftl.y, ftl.z,
+ ftl.x, ftl.y, ftl.z,
+ fbr.x, fbr.y, fbr.z,
+ ftr.x, ftr.y, ftr.z,
+
+ // right
+ fbr.x, fbr.y, fbr.z,
+ bbr.x, bbr.y, bbr.z,
+ ftr.x, ftr.y, ftr.z,
+ ftr.x, ftr.y, ftr.z,
+ bbr.x, bbr.y, bbr.z,
+ btr.x, btr.y, btr.z,
+
+ // back
+ fbr.x, bbr.y, bbr.z,
+ bbl.x, bbl.y, bbl.z,
+ btr.x, btr.y, btr.z,
+ btr.x, btr.y, btr.z,
+ bbl.x, bbl.y, bbl.z,
+ btl.x, btl.y, btl.z,
+
+ // left
+ bbl.x, bbl.y, bbl.z,
+ fbl.x, fbl.y, fbl.z,
+ btl.x, btl.y, btl.z,
+ btl.x, btl.y, btl.z,
+ fbl.x, fbl.y, fbl.z,
+ ftl.x, ftl.y, ftl.z,
+
+ // top
+ ftl.x, ftl.y, ftl.z,
+ ftr.x, ftr.y, ftr.z,
+ btl.x, btl.y, btl.z,
+ btl.x, btl.y, btl.z,
+ ftr.x, ftr.y, ftr.z,
+ btr.x, btr.y, btr.z,
+
+ // bottom
+ bbl.x, bbl.y, bbl.z,
+ bbr.x, bbr.y, bbr.z,
+ fbl.x, fbl.y, fbl.z,
+ fbl.x, fbl.y, fbl.z,
+ bbr.x, bbr.y, bbr.z,
+ fbr.x, fbr.y, fbr.z,
+ ]);
+
+ const normals = new Float32Array(positions.length);
+ let ni;
+
+ for (let i = 0, count = positions.length / 3; i < count; i++) {
+ ni = i * 3;
+
+ normals[ni] = parseInt(i / 6, 10) === 1
+ ? 1
+ : parseInt(i / 6, 10) === 3 ? -1 : 0;
+
+ normals[ni + 1] = parseInt(i / 6, 10) === 4
+ ? 1
+ : parseInt(i / 6, 10) === 5 ? -1 : 0;
+
+ normals[ni + 2] = parseInt(i / 6, 10) === 0
+ ? 1
+ : parseInt(i / 6, 10) === 2 ? -1 : 0;
+ }
+
+ return {
+ positions,
+ normals,
+ };
+ }
+}
diff --git a/client/public/brick-renderer/glm.mjs b/client/public/brick-renderer/glm.mjs
new file mode 100644
index 0000000..420e756
--- /dev/null
+++ b/client/public/brick-renderer/glm.mjs
@@ -0,0 +1,4470 @@
+"use strict";
+
+function _typeof(obj) { "@babel/helpers - typeof"; return _typeof = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (obj) { return typeof obj; } : function (obj) { return obj && "function" == typeof Symbol && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }, _typeof(obj); }
+
+/**
+ * @fileoverview gl-matrix - High performance matrix and vector operations
+ * @author Brandon Jones
+ * @author Colin MacKenzie IV
+ * @version 2.2.0
+ */
+
+/* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without modification,
+are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+(function (_global) {
+ "use strict";
+
+ var shim = {};
+
+ if (typeof exports === 'undefined') {
+ if (typeof define == 'function' && _typeof(define.amd) == 'object' && define.amd) {
+ shim.exports = {};
+ define(function () {
+ return shim.exports;
+ });
+ } else {
+ // gl-matrix lives in a browser, define its namespaces in global
+ shim.exports = typeof window !== 'undefined' ? window : _global;
+ }
+ } else {
+ // gl-matrix lives in commonjs, define its namespaces in exports
+ shim.exports = exports;
+ }
+
+ (function (exports) {
+ /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+ if (!GLMAT_EPSILON) {
+ var GLMAT_EPSILON = 0.000001;
+ }
+
+ if (!GLMAT_ARRAY_TYPE) {
+ var GLMAT_ARRAY_TYPE = typeof Float32Array !== 'undefined' ? Float32Array : Array;
+ }
+
+ if (!GLMAT_RANDOM) {
+ var GLMAT_RANDOM = Math.random;
+ }
+ /**
+ * @class Common utilities
+ * @name glMatrix
+ */
+
+
+ var glMatrix = {};
+ /**
+ * Sets the type of array used when creating new vectors and matricies
+ *
+ * @param {Type} type Array type, such as Float32Array or Array
+ */
+
+ glMatrix.setMatrixArrayType = function (type) {
+ GLMAT_ARRAY_TYPE = type;
+ };
+
+ if (typeof exports !== 'undefined') {
+ exports.glMatrix = glMatrix;
+ }
+
+ ;
+ /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+ /**
+ * @class 2 Dimensional Vector
+ * @name vec2
+ */
+
+ var vec2 = {};
+ /**
+ * Creates a new, empty vec2
+ *
+ * @returns {vec2} a new 2D vector
+ */
+
+ vec2.create = function () {
+ var out = new GLMAT_ARRAY_TYPE(2);
+ out[0] = 0;
+ out[1] = 0;
+ return out;
+ };
+ /**
+ * Creates a new vec2 initialized with values from an existing vector
+ *
+ * @param {vec2} a vector to clone
+ * @returns {vec2} a new 2D vector
+ */
+
+
+ vec2.clone = function (a) {
+ var out = new GLMAT_ARRAY_TYPE(2);
+ out[0] = a[0];
+ out[1] = a[1];
+ return out;
+ };
+ /**
+ * Creates a new vec2 initialized with the given values
+ *
+ * @param {Number} x X component
+ * @param {Number} y Y component
+ * @returns {vec2} a new 2D vector
+ */
+
+
+ vec2.fromValues = function (x, y) {
+ var out = new GLMAT_ARRAY_TYPE(2);
+ out[0] = x;
+ out[1] = y;
+ return out;
+ };
+ /**
+ * Copy the values from one vec2 to another
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the source vector
+ * @returns {vec2} out
+ */
+
+
+ vec2.copy = function (out, a) {
+ out[0] = a[0];
+ out[1] = a[1];
+ return out;
+ };
+ /**
+ * Set the components of a vec2 to the given values
+ *
+ * @param {vec2} out the receiving vector
+ * @param {Number} x X component
+ * @param {Number} y Y component
+ * @returns {vec2} out
+ */
+
+
+ vec2.set = function (out, x, y) {
+ out[0] = x;
+ out[1] = y;
+ return out;
+ };
+ /**
+ * Adds two vec2's
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {vec2} out
+ */
+
+
+ vec2.add = function (out, a, b) {
+ out[0] = a[0] + b[0];
+ out[1] = a[1] + b[1];
+ return out;
+ };
+ /**
+ * Subtracts vector b from vector a
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {vec2} out
+ */
+
+
+ vec2.subtract = function (out, a, b) {
+ out[0] = a[0] - b[0];
+ out[1] = a[1] - b[1];
+ return out;
+ };
+ /**
+ * Alias for {@link vec2.subtract}
+ * @function
+ */
+
+
+ vec2.sub = vec2.subtract;
+ /**
+ * Multiplies two vec2's
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {vec2} out
+ */
+
+ vec2.multiply = function (out, a, b) {
+ out[0] = a[0] * b[0];
+ out[1] = a[1] * b[1];
+ return out;
+ };
+ /**
+ * Alias for {@link vec2.multiply}
+ * @function
+ */
+
+
+ vec2.mul = vec2.multiply;
+ /**
+ * Divides two vec2's
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {vec2} out
+ */
+
+ vec2.divide = function (out, a, b) {
+ out[0] = a[0] / b[0];
+ out[1] = a[1] / b[1];
+ return out;
+ };
+ /**
+ * Alias for {@link vec2.divide}
+ * @function
+ */
+
+
+ vec2.div = vec2.divide;
+ /**
+ * Returns the minimum of two vec2's
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {vec2} out
+ */
+
+ vec2.min = function (out, a, b) {
+ out[0] = Math.min(a[0], b[0]);
+ out[1] = Math.min(a[1], b[1]);
+ return out;
+ };
+ /**
+ * Returns the maximum of two vec2's
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {vec2} out
+ */
+
+
+ vec2.max = function (out, a, b) {
+ out[0] = Math.max(a[0], b[0]);
+ out[1] = Math.max(a[1], b[1]);
+ return out;
+ };
+ /**
+ * Scales a vec2 by a scalar number
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the vector to scale
+ * @param {Number} b amount to scale the vector by
+ * @returns {vec2} out
+ */
+
+
+ vec2.scale = function (out, a, b) {
+ out[0] = a[0] * b;
+ out[1] = a[1] * b;
+ return out;
+ };
+ /**
+ * Adds two vec2's after scaling the second operand by a scalar value
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @param {Number} scale the amount to scale b by before adding
+ * @returns {vec2} out
+ */
+
+
+ vec2.scaleAndAdd = function (out, a, b, scale) {
+ out[0] = a[0] + b[0] * scale;
+ out[1] = a[1] + b[1] * scale;
+ return out;
+ };
+ /**
+ * Calculates the euclidian distance between two vec2's
+ *
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {Number} distance between a and b
+ */
+
+
+ vec2.distance = function (a, b) {
+ var x = b[0] - a[0],
+ y = b[1] - a[1];
+ return Math.sqrt(x * x + y * y);
+ };
+ /**
+ * Alias for {@link vec2.distance}
+ * @function
+ */
+
+
+ vec2.dist = vec2.distance;
+ /**
+ * Calculates the squared euclidian distance between two vec2's
+ *
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {Number} squared distance between a and b
+ */
+
+ vec2.squaredDistance = function (a, b) {
+ var x = b[0] - a[0],
+ y = b[1] - a[1];
+ return x * x + y * y;
+ };
+ /**
+ * Alias for {@link vec2.squaredDistance}
+ * @function
+ */
+
+
+ vec2.sqrDist = vec2.squaredDistance;
+ /**
+ * Calculates the length of a vec2
+ *
+ * @param {vec2} a vector to calculate length of
+ * @returns {Number} length of a
+ */
+
+ vec2.length = function (a) {
+ var x = a[0],
+ y = a[1];
+ return Math.sqrt(x * x + y * y);
+ };
+ /**
+ * Alias for {@link vec2.length}
+ * @function
+ */
+
+
+ vec2.len = vec2.length;
+ /**
+ * Calculates the squared length of a vec2
+ *
+ * @param {vec2} a vector to calculate squared length of
+ * @returns {Number} squared length of a
+ */
+
+ vec2.squaredLength = function (a) {
+ var x = a[0],
+ y = a[1];
+ return x * x + y * y;
+ };
+ /**
+ * Alias for {@link vec2.squaredLength}
+ * @function
+ */
+
+
+ vec2.sqrLen = vec2.squaredLength;
+ /**
+ * Negates the components of a vec2
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a vector to negate
+ * @returns {vec2} out
+ */
+
+ vec2.negate = function (out, a) {
+ out[0] = -a[0];
+ out[1] = -a[1];
+ return out;
+ };
+ /**
+ * Normalize a vec2
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a vector to normalize
+ * @returns {vec2} out
+ */
+
+
+ vec2.normalize = function (out, a) {
+ var x = a[0],
+ y = a[1];
+ var len = x * x + y * y;
+
+ 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;
+ }
+
+ return out;
+ };
+ /**
+ * Calculates the dot product of two vec2's
+ *
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {Number} dot product of a and b
+ */
+
+
+ vec2.dot = function (a, b) {
+ return a[0] * b[0] + a[1] * b[1];
+ };
+ /**
+ * Computes the cross product of two vec2's
+ * Note that the cross product must by definition produce a 3D vector
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @returns {vec3} out
+ */
+
+
+ vec2.cross = function (out, a, b) {
+ var z = a[0] * b[1] - a[1] * b[0];
+ out[0] = out[1] = 0;
+ out[2] = z;
+ return out;
+ };
+ /**
+ * Performs a linear interpolation between two vec2's
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the first operand
+ * @param {vec2} b the second operand
+ * @param {Number} t interpolation amount between the two inputs
+ * @returns {vec2} out
+ */
+
+
+ vec2.lerp = function (out, a, b, t) {
+ var ax = a[0],
+ ay = a[1];
+ out[0] = ax + t * (b[0] - ax);
+ out[1] = ay + t * (b[1] - ay);
+ return out;
+ };
+ /**
+ * Generates a random vector with the given scale
+ *
+ * @param {vec2} out the receiving vector
+ * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
+ * @returns {vec2} out
+ */
+
+
+ vec2.random = function (out, scale) {
+ scale = scale || 1.0;
+ var r = GLMAT_RANDOM() * 2.0 * Math.PI;
+ out[0] = Math.cos(r) * scale;
+ out[1] = Math.sin(r) * scale;
+ return out;
+ };
+ /**
+ * Transforms the vec2 with a mat2
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the vector to transform
+ * @param {mat2} m matrix to transform with
+ * @returns {vec2} out
+ */
+
+
+ vec2.transformMat2 = function (out, a, m) {
+ var x = a[0],
+ y = a[1];
+ out[0] = m[0] * x + m[2] * y;
+ out[1] = m[1] * x + m[3] * y;
+ return out;
+ };
+ /**
+ * Transforms the vec2 with a mat2d
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the vector to transform
+ * @param {mat2d} m matrix to transform with
+ * @returns {vec2} out
+ */
+
+
+ vec2.transformMat2d = function (out, a, m) {
+ var x = a[0],
+ y = a[1];
+ out[0] = m[0] * x + m[2] * y + m[4];
+ out[1] = m[1] * x + m[3] * y + m[5];
+ return out;
+ };
+ /**
+ * Transforms the vec2 with a mat3
+ * 3rd vector component is implicitly '1'
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the vector to transform
+ * @param {mat3} m matrix to transform with
+ * @returns {vec2} out
+ */
+
+
+ vec2.transformMat3 = function (out, a, m) {
+ var x = a[0],
+ y = a[1];
+ out[0] = m[0] * x + m[3] * y + m[6];
+ out[1] = m[1] * x + m[4] * y + m[7];
+ return out;
+ };
+ /**
+ * Transforms the vec2 with a mat4
+ * 3rd vector component is implicitly '0'
+ * 4th vector component is implicitly '1'
+ *
+ * @param {vec2} out the receiving vector
+ * @param {vec2} a the vector to transform
+ * @param {mat4} m matrix to transform with
+ * @returns {vec2} out
+ */
+
+
+ vec2.transformMat4 = function (out, a, m) {
+ var x = a[0],
+ y = a[1];
+ out[0] = m[0] * x + m[4] * y + m[12];
+ out[1] = m[1] * x + m[5] * y + m[13];
+ return out;
+ };
+ /**
+ * Perform some operation over an array of vec2s.
+ *
+ * @param {Array} a the array of vectors to iterate over
+ * @param {Number} stride Number of elements between the start of each vec2. If 0 assumes tightly packed
+ * @param {Number} offset Number of elements to skip at the beginning of the array
+ * @param {Number} count Number of vec2s to iterate over. If 0 iterates over entire array
+ * @param {Function} fn Function to call for each vector in the array
+ * @param {Object} [arg] additional argument to pass to fn
+ * @returns {Array} a
+ * @function
+ */
+
+
+ vec2.forEach = function () {
+ var vec = vec2.create();
+ return function (a, stride, offset, count, fn, arg) {
+ var i, l;
+
+ if (!stride) {
+ stride = 2;
+ }
+
+ if (!offset) {
+ offset = 0;
+ }
+
+ if (count) {
+ l = Math.min(count * stride + offset, a.length);
+ } else {
+ l = a.length;
+ }
+
+ for (i = offset; i < l; i += stride) {
+ vec[0] = a[i];
+ vec[1] = a[i + 1];
+ fn(vec, vec, arg);
+ a[i] = vec[0];
+ a[i + 1] = vec[1];
+ }
+
+ return a;
+ };
+ }();
+ /**
+ * Returns a string representation of a vector
+ *
+ * @param {vec2} vec vector to represent as a string
+ * @returns {String} string representation of the vector
+ */
+
+
+ vec2.str = function (a) {
+ return 'vec2(' + a[0] + ', ' + a[1] + ')';
+ };
+
+ if (typeof exports !== 'undefined') {
+ exports.vec2 = vec2;
+ }
+
+ ;
+ /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+ /**
+ * @class 3 Dimensional Vector
+ * @name vec3
+ */
+
+ var vec3 = {};
+ /**
+ * Creates a new, empty vec3
+ *
+ * @returns {vec3} a new 3D vector
+ */
+
+ vec3.create = function () {
+ var out = new GLMAT_ARRAY_TYPE(3);
+ out[0] = 0;
+ out[1] = 0;
+ out[2] = 0;
+ return out;
+ };
+ /**
+ * Creates a new vec3 initialized with values from an existing vector
+ *
+ * @param {vec3} a vector to clone
+ * @returns {vec3} a new 3D vector
+ */
+
+
+ vec3.clone = function (a) {
+ var out = new GLMAT_ARRAY_TYPE(3);
+ out[0] = a[0];
+ out[1] = a[1];
+ out[2] = a[2];
+ return out;
+ };
+ /**
+ * Creates a new vec3 initialized with the given values
+ *
+ * @param {Number} x X component
+ * @param {Number} y Y component
+ * @param {Number} z Z component
+ * @returns {vec3} a new 3D vector
+ */
+
+
+ vec3.fromValues = function (x, y, z) {
+ var out = new GLMAT_ARRAY_TYPE(3);
+ out[0] = x;
+ out[1] = y;
+ out[2] = z;
+ return out;
+ };
+ /**
+ * Copy the values from one vec3 to another
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the source vector
+ * @returns {vec3} out
+ */
+
+
+ vec3.copy = function (out, a) {
+ out[0] = a[0];
+ out[1] = a[1];
+ out[2] = a[2];
+ return out;
+ };
+ /**
+ * Set the components of a vec3 to the given values
+ *
+ * @param {vec3} out the receiving vector
+ * @param {Number} x X component
+ * @param {Number} y Y component
+ * @param {Number} z Z component
+ * @returns {vec3} out
+ */
+
+
+ vec3.set = function (out, x, y, z) {
+ out[0] = x;
+ out[1] = y;
+ out[2] = z;
+ return out;
+ };
+ /**
+ * Adds two vec3's
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {vec3} out
+ */
+
+
+ vec3.add = function (out, a, b) {
+ out[0] = a[0] + b[0];
+ out[1] = a[1] + b[1];
+ out[2] = a[2] + b[2];
+ return out;
+ };
+ /**
+ * Subtracts vector b from vector a
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {vec3} out
+ */
+
+
+ vec3.subtract = function (out, a, b) {
+ out[0] = a[0] - b[0];
+ out[1] = a[1] - b[1];
+ out[2] = a[2] - b[2];
+ return out;
+ };
+ /**
+ * Alias for {@link vec3.subtract}
+ * @function
+ */
+
+
+ vec3.sub = vec3.subtract;
+ /**
+ * Multiplies two vec3's
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {vec3} out
+ */
+
+ vec3.multiply = function (out, a, b) {
+ out[0] = a[0] * b[0];
+ out[1] = a[1] * b[1];
+ out[2] = a[2] * b[2];
+ return out;
+ };
+ /**
+ * Alias for {@link vec3.multiply}
+ * @function
+ */
+
+
+ vec3.mul = vec3.multiply;
+ /**
+ * Divides two vec3's
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {vec3} out
+ */
+
+ vec3.divide = function (out, a, b) {
+ out[0] = a[0] / b[0];
+ out[1] = a[1] / b[1];
+ out[2] = a[2] / b[2];
+ return out;
+ };
+ /**
+ * Alias for {@link vec3.divide}
+ * @function
+ */
+
+
+ vec3.div = vec3.divide;
+ /**
+ * Returns the minimum of two vec3's
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {vec3} out
+ */
+
+ vec3.min = function (out, a, b) {
+ out[0] = Math.min(a[0], b[0]);
+ out[1] = Math.min(a[1], b[1]);
+ out[2] = Math.min(a[2], b[2]);
+ return out;
+ };
+ /**
+ * Returns the maximum of two vec3's
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {vec3} out
+ */
+
+
+ vec3.max = function (out, a, b) {
+ out[0] = Math.max(a[0], b[0]);
+ out[1] = Math.max(a[1], b[1]);
+ out[2] = Math.max(a[2], b[2]);
+ return out;
+ };
+ /**
+ * Scales a vec3 by a scalar number
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the vector to scale
+ * @param {Number} b amount to scale the vector by
+ * @returns {vec3} out
+ */
+
+
+ vec3.scale = function (out, a, b) {
+ out[0] = a[0] * b;
+ out[1] = a[1] * b;
+ out[2] = a[2] * b;
+ return out;
+ };
+ /**
+ * Adds two vec3's after scaling the second operand by a scalar value
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @param {Number} scale the amount to scale b by before adding
+ * @returns {vec3} out
+ */
+
+
+ vec3.scaleAndAdd = function (out, a, b, scale) {
+ out[0] = a[0] + b[0] * scale;
+ out[1] = a[1] + b[1] * scale;
+ out[2] = a[2] + b[2] * scale;
+ return out;
+ };
+ /**
+ * Calculates the euclidian distance between two vec3's
+ *
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {Number} distance between a and b
+ */
+
+
+ vec3.distance = function (a, b) {
+ var x = b[0] - a[0],
+ y = b[1] - a[1],
+ z = b[2] - a[2];
+ return Math.sqrt(x * x + y * y + z * z);
+ };
+ /**
+ * Alias for {@link vec3.distance}
+ * @function
+ */
+
+
+ vec3.dist = vec3.distance;
+ /**
+ * Calculates the squared euclidian distance between two vec3's
+ *
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {Number} squared distance between a and b
+ */
+
+ vec3.squaredDistance = function (a, b) {
+ var x = b[0] - a[0],
+ y = b[1] - a[1],
+ z = b[2] - a[2];
+ return x * x + y * y + z * z;
+ };
+ /**
+ * Alias for {@link vec3.squaredDistance}
+ * @function
+ */
+
+
+ vec3.sqrDist = vec3.squaredDistance;
+ /**
+ * Calculates the length of a vec3
+ *
+ * @param {vec3} a vector to calculate length of
+ * @returns {Number} length of a
+ */
+
+ vec3.length = function (a) {
+ var x = a[0],
+ y = a[1],
+ z = a[2];
+ return Math.sqrt(x * x + y * y + z * z);
+ };
+ /**
+ * Alias for {@link vec3.length}
+ * @function
+ */
+
+
+ vec3.len = vec3.length;
+ /**
+ * Calculates the squared length of a vec3
+ *
+ * @param {vec3} a vector to calculate squared length of
+ * @returns {Number} squared length of a
+ */
+
+ vec3.squaredLength = function (a) {
+ var x = a[0],
+ y = a[1],
+ z = a[2];
+ return x * x + y * y + z * z;
+ };
+ /**
+ * Alias for {@link vec3.squaredLength}
+ * @function
+ */
+
+
+ vec3.sqrLen = vec3.squaredLength;
+ /**
+ * Negates the components of a vec3
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a vector to negate
+ * @returns {vec3} out
+ */
+
+ vec3.negate = function (out, a) {
+ out[0] = -a[0];
+ out[1] = -a[1];
+ out[2] = -a[2];
+ return out;
+ };
+ /**
+ * Normalize a vec3
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a vector to normalize
+ * @returns {vec3} out
+ */
+
+
+ vec3.normalize = function (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;
+ };
+ /**
+ * Calculates the dot product of two vec3's
+ *
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {Number} dot product of a and b
+ */
+
+
+ vec3.dot = function (a, b) {
+ return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
+ };
+ /**
+ * Computes the cross product of two vec3's
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @returns {vec3} out
+ */
+
+
+ vec3.cross = function (out, a, b) {
+ var ax = a[0],
+ ay = a[1],
+ az = a[2],
+ bx = b[0],
+ by = b[1],
+ bz = b[2];
+ out[0] = ay * bz - az * by;
+ out[1] = az * bx - ax * bz;
+ out[2] = ax * by - ay * bx;
+ return out;
+ };
+ /**
+ * Performs a linear interpolation between two vec3's
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the first operand
+ * @param {vec3} b the second operand
+ * @param {Number} t interpolation amount between the two inputs
+ * @returns {vec3} out
+ */
+
+
+ vec3.lerp = function (out, a, b, t) {
+ var ax = a[0],
+ ay = a[1],
+ az = a[2];
+ out[0] = ax + t * (b[0] - ax);
+ out[1] = ay + t * (b[1] - ay);
+ out[2] = az + t * (b[2] - az);
+ return out;
+ };
+ /**
+ * Generates a random vector with the given scale
+ *
+ * @param {vec3} out the receiving vector
+ * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
+ * @returns {vec3} out
+ */
+
+
+ vec3.random = function (out, scale) {
+ scale = scale || 1.0;
+ var r = GLMAT_RANDOM() * 2.0 * Math.PI;
+ var z = GLMAT_RANDOM() * 2.0 - 1.0;
+ var zScale = Math.sqrt(1.0 - z * z) * scale;
+ out[0] = Math.cos(r) * zScale;
+ out[1] = Math.sin(r) * zScale;
+ out[2] = z * scale;
+ return out;
+ };
+ /**
+ * Transforms the vec3 with a mat4.
+ * 4th vector component is implicitly '1'
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the vector to transform
+ * @param {mat4} m matrix to transform with
+ * @returns {vec3} out
+ */
+
+
+ vec3.transformMat4 = function (out, a, m) {
+ var x = a[0],
+ y = a[1],
+ z = a[2];
+ out[0] = m[0] * x + m[4] * y + m[8] * z + m[12];
+ out[1] = m[1] * x + m[5] * y + m[9] * z + m[13];
+ out[2] = m[2] * x + m[6] * y + m[10] * z + m[14];
+ return out;
+ };
+ /**
+ * Transforms the vec3 with a mat3.
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the vector to transform
+ * @param {mat4} m the 3x3 matrix to transform with
+ * @returns {vec3} out
+ */
+
+
+ vec3.transformMat3 = function (out, a, m) {
+ var x = a[0],
+ y = a[1],
+ z = a[2];
+ out[0] = x * m[0] + y * m[3] + z * m[6];
+ out[1] = x * m[1] + y * m[4] + z * m[7];
+ out[2] = x * m[2] + y * m[5] + z * m[8];
+ return out;
+ };
+ /**
+ * Transforms the vec3 with a quat
+ *
+ * @param {vec3} out the receiving vector
+ * @param {vec3} a the vector to transform
+ * @param {quat} q quaternion to transform with
+ * @returns {vec3} out
+ */
+
+
+ vec3.transformQuat = function (out, a, q) {
+ // benchmarks: http://jsperf.com/quaternion-transform-vec3-implementations
+ var x = a[0],
+ y = a[1],
+ z = a[2],
+ qx = q[0],
+ qy = q[1],
+ qz = q[2],
+ qw = q[3],
+ // calculate quat * vec
+ ix = qw * x + qy * z - qz * y,
+ iy = qw * y + qz * x - qx * z,
+ iz = qw * z + qx * y - qy * x,
+ iw = -qx * x - qy * y - qz * z; // calculate result * inverse quat
+
+ out[0] = ix * qw + iw * -qx + iy * -qz - iz * -qy;
+ out[1] = iy * qw + iw * -qy + iz * -qx - ix * -qz;
+ out[2] = iz * qw + iw * -qz + ix * -qy - iy * -qx;
+ return out;
+ };
+ /**
+ * Perform some operation over an array of vec3s.
+ *
+ * @param {Array} a the array of vectors to iterate over
+ * @param {Number} stride Number of elements between the start of each vec3. If 0 assumes tightly packed
+ * @param {Number} offset Number of elements to skip at the beginning of the array
+ * @param {Number} count Number of vec3s to iterate over. If 0 iterates over entire array
+ * @param {Function} fn Function to call for each vector in the array
+ * @param {Object} [arg] additional argument to pass to fn
+ * @returns {Array} a
+ * @function
+ */
+
+
+ vec3.forEach = function () {
+ var vec = vec3.create();
+ return function (a, stride, offset, count, fn, arg) {
+ var i, l;
+
+ if (!stride) {
+ stride = 3;
+ }
+
+ if (!offset) {
+ offset = 0;
+ }
+
+ if (count) {
+ l = Math.min(count * stride + offset, a.length);
+ } else {
+ l = a.length;
+ }
+
+ for (i = offset; i < l; i += stride) {
+ vec[0] = a[i];
+ vec[1] = a[i + 1];
+ vec[2] = a[i + 2];
+ fn(vec, vec, arg);
+ a[i] = vec[0];
+ a[i + 1] = vec[1];
+ a[i + 2] = vec[2];
+ }
+
+ return a;
+ };
+ }();
+ /**
+ * Returns a string representation of a vector
+ *
+ * @param {vec3} vec vector to represent as a string
+ * @returns {String} string representation of the vector
+ */
+
+
+ vec3.str = function (a) {
+ return 'vec3(' + a[0] + ', ' + a[1] + ', ' + a[2] + ')';
+ };
+
+ if (typeof exports !== 'undefined') {
+ exports.vec3 = vec3;
+ }
+
+ ;
+ /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+ /**
+ * @class 4 Dimensional Vector
+ * @name vec4
+ */
+
+ var vec4 = {};
+ /**
+ * Creates a new, empty vec4
+ *
+ * @returns {vec4} a new 4D vector
+ */
+
+ vec4.create = function () {
+ var out = new GLMAT_ARRAY_TYPE(4);
+ out[0] = 0;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 0;
+ return out;
+ };
+ /**
+ * Creates a new vec4 initialized with values from an existing vector
+ *
+ * @param {vec4} a vector to clone
+ * @returns {vec4} a new 4D vector
+ */
+
+
+ vec4.clone = function (a) {
+ var out = new GLMAT_ARRAY_TYPE(4);
+ out[0] = a[0];
+ out[1] = a[1];
+ out[2] = a[2];
+ out[3] = a[3];
+ return out;
+ };
+ /**
+ * Creates a new vec4 initialized with the given values
+ *
+ * @param {Number} x X component
+ * @param {Number} y Y component
+ * @param {Number} z Z component
+ * @param {Number} w W component
+ * @returns {vec4} a new 4D vector
+ */
+
+
+ vec4.fromValues = function (x, y, z, w) {
+ var out = new GLMAT_ARRAY_TYPE(4);
+ out[0] = x;
+ out[1] = y;
+ out[2] = z;
+ out[3] = w;
+ return out;
+ };
+ /**
+ * Copy the values from one vec4 to another
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the source vector
+ * @returns {vec4} out
+ */
+
+
+ vec4.copy = function (out, a) {
+ out[0] = a[0];
+ out[1] = a[1];
+ out[2] = a[2];
+ out[3] = a[3];
+ return out;
+ };
+ /**
+ * Set the components of a vec4 to the given values
+ *
+ * @param {vec4} out the receiving vector
+ * @param {Number} x X component
+ * @param {Number} y Y component
+ * @param {Number} z Z component
+ * @param {Number} w W component
+ * @returns {vec4} out
+ */
+
+
+ vec4.set = function (out, x, y, z, w) {
+ out[0] = x;
+ out[1] = y;
+ out[2] = z;
+ out[3] = w;
+ return out;
+ };
+ /**
+ * Adds two vec4's
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @returns {vec4} out
+ */
+
+
+ vec4.add = function (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];
+ return out;
+ };
+ /**
+ * Subtracts vector b from vector a
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @returns {vec4} out
+ */
+
+
+ vec4.subtract = function (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];
+ return out;
+ };
+ /**
+ * Alias for {@link vec4.subtract}
+ * @function
+ */
+
+
+ vec4.sub = vec4.subtract;
+ /**
+ * Multiplies two vec4's
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @returns {vec4} out
+ */
+
+ vec4.multiply = function (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];
+ return out;
+ };
+ /**
+ * Alias for {@link vec4.multiply}
+ * @function
+ */
+
+
+ vec4.mul = vec4.multiply;
+ /**
+ * Divides two vec4's
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @returns {vec4} out
+ */
+
+ vec4.divide = function (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];
+ return out;
+ };
+ /**
+ * Alias for {@link vec4.divide}
+ * @function
+ */
+
+
+ vec4.div = vec4.divide;
+ /**
+ * Returns the minimum of two vec4's
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @returns {vec4} out
+ */
+
+ vec4.min = function (out, a, b) {
+ out[0] = Math.min(a[0], b[0]);
+ out[1] = Math.min(a[1], b[1]);
+ out[2] = Math.min(a[2], b[2]);
+ out[3] = Math.min(a[3], b[3]);
+ return out;
+ };
+ /**
+ * Returns the maximum of two vec4's
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @returns {vec4} out
+ */
+
+
+ vec4.max = function (out, a, b) {
+ out[0] = Math.max(a[0], b[0]);
+ out[1] = Math.max(a[1], b[1]);
+ out[2] = Math.max(a[2], b[2]);
+ out[3] = Math.max(a[3], b[3]);
+ return out;
+ };
+ /**
+ * Scales a vec4 by a scalar number
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the vector to scale
+ * @param {Number} b amount to scale the vector by
+ * @returns {vec4} out
+ */
+
+
+ vec4.scale = function (out, a, b) {
+ out[0] = a[0] * b;
+ out[1] = a[1] * b;
+ out[2] = a[2] * b;
+ out[3] = a[3] * b;
+ return out;
+ };
+ /**
+ * Adds two vec4's after scaling the second operand by a scalar value
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @param {Number} scale the amount to scale b by before adding
+ * @returns {vec4} out
+ */
+
+
+ vec4.scaleAndAdd = function (out, a, b, scale) {
+ out[0] = a[0] + b[0] * scale;
+ out[1] = a[1] + b[1] * scale;
+ out[2] = a[2] + b[2] * scale;
+ out[3] = a[3] + b[3] * scale;
+ return out;
+ };
+ /**
+ * Calculates the euclidian distance between two vec4's
+ *
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @returns {Number} distance between a and b
+ */
+
+
+ vec4.distance = function (a, b) {
+ var x = b[0] - a[0],
+ y = b[1] - a[1],
+ z = b[2] - a[2],
+ w = b[3] - a[3];
+ return Math.sqrt(x * x + y * y + z * z + w * w);
+ };
+ /**
+ * Alias for {@link vec4.distance}
+ * @function
+ */
+
+
+ vec4.dist = vec4.distance;
+ /**
+ * Calculates the squared euclidian distance between two vec4's
+ *
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @returns {Number} squared distance between a and b
+ */
+
+ vec4.squaredDistance = function (a, b) {
+ var x = b[0] - a[0],
+ y = b[1] - a[1],
+ z = b[2] - a[2],
+ w = b[3] - a[3];
+ return x * x + y * y + z * z + w * w;
+ };
+ /**
+ * Alias for {@link vec4.squaredDistance}
+ * @function
+ */
+
+
+ vec4.sqrDist = vec4.squaredDistance;
+ /**
+ * Calculates the length of a vec4
+ *
+ * @param {vec4} a vector to calculate length of
+ * @returns {Number} length of a
+ */
+
+ vec4.length = function (a) {
+ var x = a[0],
+ y = a[1],
+ z = a[2],
+ w = a[3];
+ return Math.sqrt(x * x + y * y + z * z + w * w);
+ };
+ /**
+ * Alias for {@link vec4.length}
+ * @function
+ */
+
+
+ vec4.len = vec4.length;
+ /**
+ * Calculates the squared length of a vec4
+ *
+ * @param {vec4} a vector to calculate squared length of
+ * @returns {Number} squared length of a
+ */
+
+ vec4.squaredLength = function (a) {
+ var x = a[0],
+ y = a[1],
+ z = a[2],
+ w = a[3];
+ return x * x + y * y + z * z + w * w;
+ };
+ /**
+ * Alias for {@link vec4.squaredLength}
+ * @function
+ */
+
+
+ vec4.sqrLen = vec4.squaredLength;
+ /**
+ * Negates the components of a vec4
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a vector to negate
+ * @returns {vec4} out
+ */
+
+ vec4.negate = function (out, a) {
+ out[0] = -a[0];
+ out[1] = -a[1];
+ out[2] = -a[2];
+ out[3] = -a[3];
+ return out;
+ };
+ /**
+ * Normalize a vec4
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a vector to normalize
+ * @returns {vec4} out
+ */
+
+
+ vec4.normalize = function (out, a) {
+ var x = a[0],
+ y = a[1],
+ z = a[2],
+ w = a[3];
+ var len = x * x + y * y + z * z + w * w;
+
+ if (len > 0) {
+ len = 1 / Math.sqrt(len);
+ out[0] = a[0] * len;
+ out[1] = a[1] * len;
+ out[2] = a[2] * len;
+ out[3] = a[3] * len;
+ }
+
+ return out;
+ };
+ /**
+ * Calculates the dot product of two vec4's
+ *
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @returns {Number} dot product of a and b
+ */
+
+
+ vec4.dot = function (a, b) {
+ return a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3];
+ };
+ /**
+ * Performs a linear interpolation between two vec4's
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the first operand
+ * @param {vec4} b the second operand
+ * @param {Number} t interpolation amount between the two inputs
+ * @returns {vec4} out
+ */
+
+
+ vec4.lerp = function (out, a, b, t) {
+ var ax = a[0],
+ ay = a[1],
+ az = a[2],
+ aw = a[3];
+ out[0] = ax + t * (b[0] - ax);
+ out[1] = ay + t * (b[1] - ay);
+ out[2] = az + t * (b[2] - az);
+ out[3] = aw + t * (b[3] - aw);
+ return out;
+ };
+ /**
+ * Generates a random vector with the given scale
+ *
+ * @param {vec4} out the receiving vector
+ * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
+ * @returns {vec4} out
+ */
+
+
+ vec4.random = function (out, scale) {
+ scale = scale || 1.0; //TODO: This is a pretty awful way of doing this. Find something better.
+
+ out[0] = GLMAT_RANDOM();
+ out[1] = GLMAT_RANDOM();
+ out[2] = GLMAT_RANDOM();
+ out[3] = GLMAT_RANDOM();
+ vec4.normalize(out, out);
+ vec4.scale(out, out, scale);
+ return out;
+ };
+ /**
+ * Transforms the vec4 with a mat4.
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the vector to transform
+ * @param {mat4} m matrix to transform with
+ * @returns {vec4} out
+ */
+
+
+ vec4.transformMat4 = function (out, a, m) {
+ var x = a[0],
+ y = a[1],
+ z = a[2],
+ w = a[3];
+ out[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;
+ out[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;
+ out[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;
+ out[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;
+ return out;
+ };
+ /**
+ * Transforms the vec4 with a quat
+ *
+ * @param {vec4} out the receiving vector
+ * @param {vec4} a the vector to transform
+ * @param {quat} q quaternion to transform with
+ * @returns {vec4} out
+ */
+
+
+ vec4.transformQuat = function (out, a, q) {
+ var x = a[0],
+ y = a[1],
+ z = a[2],
+ qx = q[0],
+ qy = q[1],
+ qz = q[2],
+ qw = q[3],
+ // calculate quat * vec
+ ix = qw * x + qy * z - qz * y,
+ iy = qw * y + qz * x - qx * z,
+ iz = qw * z + qx * y - qy * x,
+ iw = -qx * x - qy * y - qz * z; // calculate result * inverse quat
+
+ out[0] = ix * qw + iw * -qx + iy * -qz - iz * -qy;
+ out[1] = iy * qw + iw * -qy + iz * -qx - ix * -qz;
+ out[2] = iz * qw + iw * -qz + ix * -qy - iy * -qx;
+ return out;
+ };
+ /**
+ * Perform some operation over an array of vec4s.
+ *
+ * @param {Array} a the array of vectors to iterate over
+ * @param {Number} stride Number of elements between the start of each vec4. If 0 assumes tightly packed
+ * @param {Number} offset Number of elements to skip at the beginning of the array
+ * @param {Number} count Number of vec2s to iterate over. If 0 iterates over entire array
+ * @param {Function} fn Function to call for each vector in the array
+ * @param {Object} [arg] additional argument to pass to fn
+ * @returns {Array} a
+ * @function
+ */
+
+
+ vec4.forEach = function () {
+ var vec = vec4.create();
+ return function (a, stride, offset, count, fn, arg) {
+ var i, l;
+
+ if (!stride) {
+ stride = 4;
+ }
+
+ if (!offset) {
+ offset = 0;
+ }
+
+ if (count) {
+ l = Math.min(count * stride + offset, a.length);
+ } else {
+ l = a.length;
+ }
+
+ for (i = offset; i < l; i += stride) {
+ vec[0] = a[i];
+ vec[1] = a[i + 1];
+ vec[2] = a[i + 2];
+ vec[3] = a[i + 3];
+ fn(vec, vec, arg);
+ a[i] = vec[0];
+ a[i + 1] = vec[1];
+ a[i + 2] = vec[2];
+ a[i + 3] = vec[3];
+ }
+
+ return a;
+ };
+ }();
+ /**
+ * Returns a string representation of a vector
+ *
+ * @param {vec4} vec vector to represent as a string
+ * @returns {String} string representation of the vector
+ */
+
+
+ vec4.str = function (a) {
+ return 'vec4(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ')';
+ };
+
+ if (typeof exports !== 'undefined') {
+ exports.vec4 = vec4;
+ }
+
+ ;
+ /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+ /**
+ * @class 2x2 Matrix
+ * @name mat2
+ */
+
+ var mat2 = {};
+ /**
+ * Creates a new identity mat2
+ *
+ * @returns {mat2} a new 2x2 matrix
+ */
+
+ mat2.create = function () {
+ var out = new GLMAT_ARRAY_TYPE(4);
+ out[0] = 1;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 1;
+ return out;
+ };
+ /**
+ * Creates a new mat2 initialized with values from an existing matrix
+ *
+ * @param {mat2} a matrix to clone
+ * @returns {mat2} a new 2x2 matrix
+ */
+
+
+ mat2.clone = function (a) {
+ var out = new GLMAT_ARRAY_TYPE(4);
+ out[0] = a[0];
+ out[1] = a[1];
+ out[2] = a[2];
+ out[3] = a[3];
+ return out;
+ };
+ /**
+ * Copy the values from one mat2 to another
+ *
+ * @param {mat2} out the receiving matrix
+ * @param {mat2} a the source matrix
+ * @returns {mat2} out
+ */
+
+
+ mat2.copy = function (out, a) {
+ out[0] = a[0];
+ out[1] = a[1];
+ out[2] = a[2];
+ out[3] = a[3];
+ return out;
+ };
+ /**
+ * Set a mat2 to the identity matrix
+ *
+ * @param {mat2} out the receiving matrix
+ * @returns {mat2} out
+ */
+
+
+ mat2.identity = function (out) {
+ out[0] = 1;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 1;
+ return out;
+ };
+ /**
+ * Transpose the values of a mat2
+ *
+ * @param {mat2} out the receiving matrix
+ * @param {mat2} a the source matrix
+ * @returns {mat2} out
+ */
+
+
+ mat2.transpose = function (out, a) {
+ // If we are transposing ourselves we can skip a few steps but have to cache some values
+ if (out === a) {
+ var a1 = a[1];
+ out[1] = a[2];
+ out[2] = a1;
+ } else {
+ out[0] = a[0];
+ out[1] = a[2];
+ out[2] = a[1];
+ out[3] = a[3];
+ }
+
+ return out;
+ };
+ /**
+ * Inverts a mat2
+ *
+ * @param {mat2} out the receiving matrix
+ * @param {mat2} a the source matrix
+ * @returns {mat2} out
+ */
+
+
+ mat2.invert = function (out, a) {
+ var a0 = a[0],
+ a1 = a[1],
+ a2 = a[2],
+ a3 = a[3],
+ // Calculate the determinant
+ det = a0 * a3 - a2 * a1;
+
+ if (!det) {
+ return null;
+ }
+
+ det = 1.0 / det;
+ out[0] = a3 * det;
+ out[1] = -a1 * det;
+ out[2] = -a2 * det;
+ out[3] = a0 * det;
+ return out;
+ };
+ /**
+ * Calculates the adjugate of a mat2
+ *
+ * @param {mat2} out the receiving matrix
+ * @param {mat2} a the source matrix
+ * @returns {mat2} out
+ */
+
+
+ mat2.adjoint = function (out, a) {
+ // Caching this value is nessecary if out == a
+ var a0 = a[0];
+ out[0] = a[3];
+ out[1] = -a[1];
+ out[2] = -a[2];
+ out[3] = a0;
+ return out;
+ };
+ /**
+ * Calculates the determinant of a mat2
+ *
+ * @param {mat2} a the source matrix
+ * @returns {Number} determinant of a
+ */
+
+
+ mat2.determinant = function (a) {
+ return a[0] * a[3] - a[2] * a[1];
+ };
+ /**
+ * Multiplies two mat2's
+ *
+ * @param {mat2} out the receiving matrix
+ * @param {mat2} a the first operand
+ * @param {mat2} b the second operand
+ * @returns {mat2} out
+ */
+
+
+ mat2.multiply = function (out, a, b) {
+ var a0 = a[0],
+ a1 = a[1],
+ a2 = a[2],
+ a3 = a[3];
+ var b0 = b[0],
+ b1 = b[1],
+ b2 = b[2],
+ b3 = b[3];
+ out[0] = a0 * b0 + a1 * b2;
+ out[1] = a0 * b1 + a1 * b3;
+ out[2] = a2 * b0 + a3 * b2;
+ out[3] = a2 * b1 + a3 * b3;
+ return out;
+ };
+ /**
+ * Alias for {@link mat2.multiply}
+ * @function
+ */
+
+
+ mat2.mul = mat2.multiply;
+ /**
+ * Rotates a mat2 by the given angle
+ *
+ * @param {mat2} out the receiving matrix
+ * @param {mat2} a the matrix to rotate
+ * @param {Number} rad the angle to rotate the matrix by
+ * @returns {mat2} out
+ */
+
+ mat2.rotate = function (out, a, rad) {
+ var a0 = a[0],
+ a1 = a[1],
+ a2 = a[2],
+ a3 = a[3],
+ s = Math.sin(rad),
+ c = Math.cos(rad);
+ out[0] = a0 * c + a1 * s;
+ out[1] = a0 * -s + a1 * c;
+ out[2] = a2 * c + a3 * s;
+ out[3] = a2 * -s + a3 * c;
+ return out;
+ };
+ /**
+ * Scales the mat2 by the dimensions in the given vec2
+ *
+ * @param {mat2} out the receiving matrix
+ * @param {mat2} a the matrix to rotate
+ * @param {vec2} v the vec2 to scale the matrix by
+ * @returns {mat2} out
+ **/
+
+
+ mat2.scale = function (out, a, v) {
+ var a0 = a[0],
+ a1 = a[1],
+ a2 = a[2],
+ a3 = a[3],
+ v0 = v[0],
+ v1 = v[1];
+ out[0] = a0 * v0;
+ out[1] = a1 * v1;
+ out[2] = a2 * v0;
+ out[3] = a3 * v1;
+ return out;
+ };
+ /**
+ * Returns a string representation of a mat2
+ *
+ * @param {mat2} mat matrix to represent as a string
+ * @returns {String} string representation of the matrix
+ */
+
+
+ mat2.str = function (a) {
+ return 'mat2(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ')';
+ };
+
+ if (typeof exports !== 'undefined') {
+ exports.mat2 = mat2;
+ }
+
+ ;
+ /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+ /**
+ * @class 2x3 Matrix
+ * @name mat2d
+ *
+ * @description
+ * A mat2d contains six elements defined as:
+ *
+ * [a, b,
+ * c, d,
+ * tx,ty]
+ *
+ * This is a short form for the 3x3 matrix:
+ *
+ * [a, b, 0
+ * c, d, 0
+ * tx,ty,1]
+ *
+ * The last column is ignored so the array is shorter and operations are faster.
+ */
+
+ var mat2d = {};
+ /**
+ * Creates a new identity mat2d
+ *
+ * @returns {mat2d} a new 2x3 matrix
+ */
+
+ mat2d.create = function () {
+ var out = new GLMAT_ARRAY_TYPE(6);
+ out[0] = 1;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 1;
+ out[4] = 0;
+ out[5] = 0;
+ return out;
+ };
+ /**
+ * Creates a new mat2d initialized with values from an existing matrix
+ *
+ * @param {mat2d} a matrix to clone
+ * @returns {mat2d} a new 2x3 matrix
+ */
+
+
+ mat2d.clone = function (a) {
+ var out = new GLMAT_ARRAY_TYPE(6);
+ out[0] = a[0];
+ out[1] = a[1];
+ out[2] = a[2];
+ out[3] = a[3];
+ out[4] = a[4];
+ out[5] = a[5];
+ return out;
+ };
+ /**
+ * Copy the values from one mat2d to another
+ *
+ * @param {mat2d} out the receiving matrix
+ * @param {mat2d} a the source matrix
+ * @returns {mat2d} out
+ */
+
+
+ mat2d.copy = function (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];
+ return out;
+ };
+ /**
+ * Set a mat2d to the identity matrix
+ *
+ * @param {mat2d} out the receiving matrix
+ * @returns {mat2d} out
+ */
+
+
+ mat2d.identity = function (out) {
+ out[0] = 1;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 1;
+ out[4] = 0;
+ out[5] = 0;
+ return out;
+ };
+ /**
+ * Inverts a mat2d
+ *
+ * @param {mat2d} out the receiving matrix
+ * @param {mat2d} a the source matrix
+ * @returns {mat2d} out
+ */
+
+
+ mat2d.invert = function (out, a) {
+ var aa = a[0],
+ ab = a[1],
+ ac = a[2],
+ ad = a[3],
+ atx = a[4],
+ aty = a[5];
+ var det = aa * ad - ab * ac;
+
+ if (!det) {
+ return null;
+ }
+
+ det = 1.0 / det;
+ out[0] = ad * det;
+ out[1] = -ab * det;
+ out[2] = -ac * det;
+ out[3] = aa * det;
+ out[4] = (ac * aty - ad * atx) * det;
+ out[5] = (ab * atx - aa * aty) * det;
+ return out;
+ };
+ /**
+ * Calculates the determinant of a mat2d
+ *
+ * @param {mat2d} a the source matrix
+ * @returns {Number} determinant of a
+ */
+
+
+ mat2d.determinant = function (a) {
+ return a[0] * a[3] - a[1] * a[2];
+ };
+ /**
+ * Multiplies two mat2d's
+ *
+ * @param {mat2d} out the receiving matrix
+ * @param {mat2d} a the first operand
+ * @param {mat2d} b the second operand
+ * @returns {mat2d} out
+ */
+
+
+ mat2d.multiply = function (out, a, b) {
+ var aa = a[0],
+ ab = a[1],
+ ac = a[2],
+ ad = a[3],
+ atx = a[4],
+ aty = a[5],
+ ba = b[0],
+ bb = b[1],
+ bc = b[2],
+ bd = b[3],
+ btx = b[4],
+ bty = b[5];
+ out[0] = aa * ba + ab * bc;
+ out[1] = aa * bb + ab * bd;
+ out[2] = ac * ba + ad * bc;
+ out[3] = ac * bb + ad * bd;
+ out[4] = ba * atx + bc * aty + btx;
+ out[5] = bb * atx + bd * aty + bty;
+ return out;
+ };
+ /**
+ * Alias for {@link mat2d.multiply}
+ * @function
+ */
+
+
+ mat2d.mul = mat2d.multiply;
+ /**
+ * Rotates a mat2d by the given angle
+ *
+ * @param {mat2d} out the receiving matrix
+ * @param {mat2d} a the matrix to rotate
+ * @param {Number} rad the angle to rotate the matrix by
+ * @returns {mat2d} out
+ */
+
+ mat2d.rotate = function (out, a, rad) {
+ var aa = a[0],
+ ab = a[1],
+ ac = a[2],
+ ad = a[3],
+ atx = a[4],
+ aty = a[5],
+ st = Math.sin(rad),
+ ct = Math.cos(rad);
+ out[0] = aa * ct + ab * st;
+ out[1] = -aa * st + ab * ct;
+ out[2] = ac * ct + ad * st;
+ out[3] = -ac * st + ct * ad;
+ out[4] = ct * atx + st * aty;
+ out[5] = ct * aty - st * atx;
+ return out;
+ };
+ /**
+ * Scales the mat2d by the dimensions in the given vec2
+ *
+ * @param {mat2d} out the receiving matrix
+ * @param {mat2d} a the matrix to translate
+ * @param {vec2} v the vec2 to scale the matrix by
+ * @returns {mat2d} out
+ **/
+
+
+ mat2d.scale = function (out, a, v) {
+ var vx = v[0],
+ vy = v[1];
+ out[0] = a[0] * vx;
+ out[1] = a[1] * vy;
+ out[2] = a[2] * vx;
+ out[3] = a[3] * vy;
+ out[4] = a[4] * vx;
+ out[5] = a[5] * vy;
+ return out;
+ };
+ /**
+ * Translates the mat2d by the dimensions in the given vec2
+ *
+ * @param {mat2d} out the receiving matrix
+ * @param {mat2d} a the matrix to translate
+ * @param {vec2} v the vec2 to translate the matrix by
+ * @returns {mat2d} out
+ **/
+
+
+ mat2d.translate = function (out, a, v) {
+ out[0] = a[0];
+ out[1] = a[1];
+ out[2] = a[2];
+ out[3] = a[3];
+ out[4] = a[4] + v[0];
+ out[5] = a[5] + v[1];
+ return out;
+ };
+ /**
+ * Returns a string representation of a mat2d
+ *
+ * @param {mat2d} a matrix to represent as a string
+ * @returns {String} string representation of the matrix
+ */
+
+
+ mat2d.str = function (a) {
+ return 'mat2d(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ', ' + a[4] + ', ' + a[5] + ')';
+ };
+
+ if (typeof exports !== 'undefined') {
+ exports.mat2d = mat2d;
+ }
+
+ ;
+ /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+ /**
+ * @class 3x3 Matrix
+ * @name mat3
+ */
+
+ var mat3 = {};
+ /**
+ * Creates a new identity mat3
+ *
+ * @returns {mat3} a new 3x3 matrix
+ */
+
+ mat3.create = function () {
+ var out = new GLMAT_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
+ */
+
+
+ mat3.fromMat4 = function (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
+ */
+
+
+ mat3.clone = function (a) {
+ var out = new GLMAT_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
+ */
+
+
+ mat3.copy = function (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;
+ };
+ /**
+ * Set a mat3 to the identity matrix
+ *
+ * @param {mat3} out the receiving matrix
+ * @returns {mat3} out
+ */
+
+
+ mat3.identity = function (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
+ */
+
+
+ mat3.transpose = function (out, a) {
+ // If we are transposing ourselves we can skip a few steps but have to cache some values
+ if (out === a) {
+ var 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
+ */
+
+
+ mat3.invert = function (out, a) {
+ var 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],
+ b01 = a22 * a11 - a12 * a21,
+ b11 = -a22 * a10 + a12 * a20,
+ b21 = a21 * a10 - a11 * a20,
+ // Calculate the determinant
+ 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
+ */
+
+
+ mat3.adjoint = function (out, a) {
+ var 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];
+ 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
+ */
+
+
+ mat3.determinant = function (a) {
+ var 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];
+ 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
+ */
+
+
+ mat3.multiply = function (out, a, b) {
+ var 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],
+ b00 = b[0],
+ b01 = b[1],
+ b02 = b[2],
+ b10 = b[3],
+ b11 = b[4],
+ b12 = b[5],
+ 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;
+ };
+ /**
+ * Alias for {@link mat3.multiply}
+ * @function
+ */
+
+
+ mat3.mul = mat3.multiply;
+ /**
+ * 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
+ */
+
+ mat3.translate = function (out, a, v) {
+ var 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
+ */
+
+
+ mat3.rotate = function (out, a, rad) {
+ var 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
+ **/
+
+
+ mat3.scale = function (out, a, v) {
+ var 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;
+ };
+ /**
+ * 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
+ **/
+
+
+ mat3.fromMat2d = function (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
+ */
+
+
+ mat3.fromQuat = function (out, q) {
+ var x = q[0],
+ y = q[1],
+ z = q[2],
+ w = q[3],
+ x2 = x + x,
+ y2 = y + y,
+ z2 = z + z,
+ xx = x * x2,
+ xy = x * y2,
+ xz = x * z2,
+ yy = y * y2,
+ yz = y * z2,
+ zz = z * z2,
+ wx = w * x2,
+ wy = w * y2,
+ wz = w * z2;
+ out[0] = 1 - (yy + zz);
+ out[3] = xy + wz;
+ out[6] = xz - wy;
+ out[1] = xy - wz;
+ out[4] = 1 - (xx + zz);
+ out[7] = yz + wx;
+ out[2] = xz + wy;
+ out[5] = yz - 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
+ */
+
+
+ mat3.normalFromMat4 = function (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] = (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;
+ };
+ /**
+ * Returns a string representation of a mat3
+ *
+ * @param {mat3} mat matrix to represent as a string
+ * @returns {String} string representation of the matrix
+ */
+
+
+ mat3.str = function (a) {
+ return 'mat3(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ', ' + a[4] + ', ' + a[5] + ', ' + a[6] + ', ' + a[7] + ', ' + a[8] + ')';
+ };
+
+ if (typeof exports !== 'undefined') {
+ exports.mat3 = mat3;
+ }
+
+ ;
+ /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+ /**
+ * @class 4x4 Matrix
+ * @name mat4
+ */
+
+ var mat4 = {};
+ /**
+ * Creates a new identity mat4
+ *
+ * @returns {mat4} a new 4x4 matrix
+ */
+
+ mat4.create = function () {
+ var out = new GLMAT_ARRAY_TYPE(16);
+ out[0] = 1;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 0;
+ out[4] = 0;
+ out[5] = 1;
+ out[6] = 0;
+ out[7] = 0;
+ out[8] = 0;
+ out[9] = 0;
+ out[10] = 1;
+ out[11] = 0;
+ out[12] = 0;
+ out[13] = 0;
+ out[14] = 0;
+ out[15] = 1;
+ return out;
+ };
+ /**
+ * Creates a new mat4 initialized with values from an existing matrix
+ *
+ * @param {mat4} a matrix to clone
+ * @returns {mat4} a new 4x4 matrix
+ */
+
+
+ mat4.clone = function (a) {
+ var out = new GLMAT_ARRAY_TYPE(16);
+ 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];
+ out[9] = a[9];
+ out[10] = a[10];
+ out[11] = a[11];
+ out[12] = a[12];
+ out[13] = a[13];
+ out[14] = a[14];
+ out[15] = a[15];
+ return out;
+ };
+ /**
+ * Copy the values from one mat4 to another
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the source matrix
+ * @returns {mat4} out
+ */
+
+
+ mat4.copy = function (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];
+ out[9] = a[9];
+ out[10] = a[10];
+ out[11] = a[11];
+ out[12] = a[12];
+ out[13] = a[13];
+ out[14] = a[14];
+ out[15] = a[15];
+ return out;
+ };
+ /**
+ * Set a mat4 to the identity matrix
+ *
+ * @param {mat4} out the receiving matrix
+ * @returns {mat4} out
+ */
+
+
+ mat4.identity = function (out) {
+ out[0] = 1;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 0;
+ out[4] = 0;
+ out[5] = 1;
+ out[6] = 0;
+ out[7] = 0;
+ out[8] = 0;
+ out[9] = 0;
+ out[10] = 1;
+ out[11] = 0;
+ out[12] = 0;
+ out[13] = 0;
+ out[14] = 0;
+ out[15] = 1;
+ return out;
+ };
+ /**
+ * Transpose the values of a mat4
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the source matrix
+ * @returns {mat4} out
+ */
+
+
+ mat4.transpose = function (out, a) {
+ // If we are transposing ourselves we can skip a few steps but have to cache some values
+ if (out === a) {
+ var a01 = a[1],
+ a02 = a[2],
+ a03 = a[3],
+ a12 = a[6],
+ a13 = a[7],
+ a23 = a[11];
+ out[1] = a[4];
+ out[2] = a[8];
+ out[3] = a[12];
+ out[4] = a01;
+ out[6] = a[9];
+ out[7] = a[13];
+ out[8] = a02;
+ out[9] = a12;
+ out[11] = a[14];
+ out[12] = a03;
+ out[13] = a13;
+ out[14] = a23;
+ } else {
+ out[0] = a[0];
+ out[1] = a[4];
+ out[2] = a[8];
+ out[3] = a[12];
+ out[4] = a[1];
+ out[5] = a[5];
+ out[6] = a[9];
+ out[7] = a[13];
+ out[8] = a[2];
+ out[9] = a[6];
+ out[10] = a[10];
+ out[11] = a[14];
+ out[12] = a[3];
+ out[13] = a[7];
+ out[14] = a[11];
+ out[15] = a[15];
+ }
+
+ return out;
+ };
+ /**
+ * Inverts a mat4
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the source matrix
+ * @returns {mat4} out
+ */
+
+
+ mat4.invert = function (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;
+ };
+ /**
+ * Calculates the adjugate of a mat4
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the source matrix
+ * @returns {mat4} out
+ */
+
+
+ mat4.adjoint = function (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];
+ out[0] = a11 * (a22 * a33 - a23 * a32) - a21 * (a12 * a33 - a13 * a32) + a31 * (a12 * a23 - a13 * a22);
+ out[1] = -(a01 * (a22 * a33 - a23 * a32) - a21 * (a02 * a33 - a03 * a32) + a31 * (a02 * a23 - a03 * a22));
+ out[2] = a01 * (a12 * a33 - a13 * a32) - a11 * (a02 * a33 - a03 * a32) + a31 * (a02 * a13 - a03 * a12);
+ out[3] = -(a01 * (a12 * a23 - a13 * a22) - a11 * (a02 * a23 - a03 * a22) + a21 * (a02 * a13 - a03 * a12));
+ out[4] = -(a10 * (a22 * a33 - a23 * a32) - a20 * (a12 * a33 - a13 * a32) + a30 * (a12 * a23 - a13 * a22));
+ out[5] = a00 * (a22 * a33 - a23 * a32) - a20 * (a02 * a33 - a03 * a32) + a30 * (a02 * a23 - a03 * a22);
+ out[6] = -(a00 * (a12 * a33 - a13 * a32) - a10 * (a02 * a33 - a03 * a32) + a30 * (a02 * a13 - a03 * a12));
+ out[7] = a00 * (a12 * a23 - a13 * a22) - a10 * (a02 * a23 - a03 * a22) + a20 * (a02 * a13 - a03 * a12);
+ out[8] = a10 * (a21 * a33 - a23 * a31) - a20 * (a11 * a33 - a13 * a31) + a30 * (a11 * a23 - a13 * a21);
+ out[9] = -(a00 * (a21 * a33 - a23 * a31) - a20 * (a01 * a33 - a03 * a31) + a30 * (a01 * a23 - a03 * a21));
+ out[10] = a00 * (a11 * a33 - a13 * a31) - a10 * (a01 * a33 - a03 * a31) + a30 * (a01 * a13 - a03 * a11);
+ out[11] = -(a00 * (a11 * a23 - a13 * a21) - a10 * (a01 * a23 - a03 * a21) + a20 * (a01 * a13 - a03 * a11));
+ out[12] = -(a10 * (a21 * a32 - a22 * a31) - a20 * (a11 * a32 - a12 * a31) + a30 * (a11 * a22 - a12 * a21));
+ out[13] = a00 * (a21 * a32 - a22 * a31) - a20 * (a01 * a32 - a02 * a31) + a30 * (a01 * a22 - a02 * a21);
+ out[14] = -(a00 * (a11 * a32 - a12 * a31) - a10 * (a01 * a32 - a02 * a31) + a30 * (a01 * a12 - a02 * a11));
+ out[15] = a00 * (a11 * a22 - a12 * a21) - a10 * (a01 * a22 - a02 * a21) + a20 * (a01 * a12 - a02 * a11);
+ return out;
+ };
+ /**
+ * Calculates the determinant of a mat4
+ *
+ * @param {mat4} a the source matrix
+ * @returns {Number} determinant of a
+ */
+
+
+ mat4.determinant = function (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
+
+ return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
+ };
+ /**
+ * Multiplies two mat4's
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the first operand
+ * @param {mat4} b the second operand
+ * @returns {mat4} out
+ */
+
+
+ mat4.multiply = function (out, a, b) {
+ 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]; // Cache only the current line of the second matrix
+
+ var b0 = b[0],
+ b1 = b[1],
+ b2 = b[2],
+ b3 = b[3];
+ out[0] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
+ out[1] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
+ out[2] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
+ out[3] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
+ b0 = b[4];
+ b1 = b[5];
+ b2 = b[6];
+ b3 = b[7];
+ out[4] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
+ out[5] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
+ out[6] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
+ out[7] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
+ b0 = b[8];
+ b1 = b[9];
+ b2 = b[10];
+ b3 = b[11];
+ out[8] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
+ out[9] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
+ out[10] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
+ out[11] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
+ b0 = b[12];
+ b1 = b[13];
+ b2 = b[14];
+ b3 = b[15];
+ out[12] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
+ out[13] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
+ out[14] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
+ out[15] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
+ return out;
+ };
+ /**
+ * Alias for {@link mat4.multiply}
+ * @function
+ */
+
+
+ mat4.mul = mat4.multiply;
+ /**
+ * Translate a mat4 by the given vector
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the matrix to translate
+ * @param {vec3} v vector to translate by
+ * @returns {mat4} out
+ */
+
+ mat4.translate = function (out, a, v) {
+ var x = v[0],
+ y = v[1],
+ z = v[2],
+ a00,
+ a01,
+ a02,
+ a03,
+ a10,
+ a11,
+ a12,
+ a13,
+ a20,
+ a21,
+ a22,
+ a23;
+
+ if (a === out) {
+ out[12] = a[0] * x + a[4] * y + a[8] * z + a[12];
+ out[13] = a[1] * x + a[5] * y + a[9] * z + a[13];
+ out[14] = a[2] * x + a[6] * y + a[10] * z + a[14];
+ out[15] = a[3] * x + a[7] * y + a[11] * z + a[15];
+ } else {
+ 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];
+ out[0] = a00;
+ out[1] = a01;
+ out[2] = a02;
+ out[3] = a03;
+ out[4] = a10;
+ out[5] = a11;
+ out[6] = a12;
+ out[7] = a13;
+ out[8] = a20;
+ out[9] = a21;
+ out[10] = a22;
+ out[11] = a23;
+ out[12] = a00 * x + a10 * y + a20 * z + a[12];
+ out[13] = a01 * x + a11 * y + a21 * z + a[13];
+ out[14] = a02 * x + a12 * y + a22 * z + a[14];
+ out[15] = a03 * x + a13 * y + a23 * z + a[15];
+ }
+
+ return out;
+ };
+ /**
+ * Scales the mat4 by the dimensions in the given vec3
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the matrix to scale
+ * @param {vec3} v the vec3 to scale the matrix by
+ * @returns {mat4} out
+ **/
+
+
+ mat4.scale = function (out, a, v) {
+ var x = v[0],
+ y = v[1],
+ z = v[2];
+ out[0] = a[0] * x;
+ out[1] = a[1] * x;
+ out[2] = a[2] * x;
+ out[3] = a[3] * x;
+ out[4] = a[4] * y;
+ out[5] = a[5] * y;
+ out[6] = a[6] * y;
+ out[7] = a[7] * y;
+ out[8] = a[8] * z;
+ out[9] = a[9] * z;
+ out[10] = a[10] * z;
+ out[11] = a[11] * z;
+ out[12] = a[12];
+ out[13] = a[13];
+ out[14] = a[14];
+ out[15] = a[15];
+ return out;
+ };
+ /**
+ * Rotates a mat4 by the given angle
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the matrix to rotate
+ * @param {Number} rad the angle to rotate the matrix by
+ * @param {vec3} axis the axis to rotate around
+ * @returns {mat4} out
+ */
+
+
+ mat4.rotate = function (out, a, rad, axis) {
+ var x = axis[0],
+ y = axis[1],
+ z = axis[2],
+ len = Math.sqrt(x * x + y * y + z * z),
+ s,
+ c,
+ t,
+ a00,
+ a01,
+ a02,
+ a03,
+ a10,
+ a11,
+ a12,
+ a13,
+ a20,
+ a21,
+ a22,
+ a23,
+ b00,
+ b01,
+ b02,
+ b10,
+ b11,
+ b12,
+ b20,
+ b21,
+ b22;
+
+ if (Math.abs(len) < GLMAT_EPSILON) {
+ return null;
+ }
+
+ len = 1 / len;
+ x *= len;
+ y *= len;
+ z *= len;
+ s = Math.sin(rad);
+ c = Math.cos(rad);
+ t = 1 - c;
+ 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]; // Construct the elements of the rotation matrix
+
+ b00 = x * x * t + c;
+ b01 = y * x * t + z * s;
+ b02 = z * x * t - y * s;
+ b10 = x * y * t - z * s;
+ b11 = y * y * t + c;
+ b12 = z * y * t + x * s;
+ b20 = x * z * t + y * s;
+ b21 = y * z * t - x * s;
+ b22 = z * z * t + c; // Perform rotation-specific matrix multiplication
+
+ out[0] = a00 * b00 + a10 * b01 + a20 * b02;
+ out[1] = a01 * b00 + a11 * b01 + a21 * b02;
+ out[2] = a02 * b00 + a12 * b01 + a22 * b02;
+ out[3] = a03 * b00 + a13 * b01 + a23 * b02;
+ out[4] = a00 * b10 + a10 * b11 + a20 * b12;
+ out[5] = a01 * b10 + a11 * b11 + a21 * b12;
+ out[6] = a02 * b10 + a12 * b11 + a22 * b12;
+ out[7] = a03 * b10 + a13 * b11 + a23 * b12;
+ out[8] = a00 * b20 + a10 * b21 + a20 * b22;
+ out[9] = a01 * b20 + a11 * b21 + a21 * b22;
+ out[10] = a02 * b20 + a12 * b21 + a22 * b22;
+ out[11] = a03 * b20 + a13 * b21 + a23 * b22;
+
+ if (a !== out) {
+ // If the source and destination differ, copy the unchanged last row
+ out[12] = a[12];
+ out[13] = a[13];
+ out[14] = a[14];
+ out[15] = a[15];
+ }
+
+ return out;
+ };
+ /**
+ * Rotates a matrix by the given angle around the X axis
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the matrix to rotate
+ * @param {Number} rad the angle to rotate the matrix by
+ * @returns {mat4} out
+ */
+
+
+ mat4.rotateX = function (out, a, rad) {
+ var s = Math.sin(rad),
+ c = Math.cos(rad),
+ a10 = a[4],
+ a11 = a[5],
+ a12 = a[6],
+ a13 = a[7],
+ a20 = a[8],
+ a21 = a[9],
+ a22 = a[10],
+ a23 = a[11];
+
+ if (a !== out) {
+ // If the source and destination differ, copy the unchanged rows
+ out[0] = a[0];
+ out[1] = a[1];
+ out[2] = a[2];
+ out[3] = a[3];
+ out[12] = a[12];
+ out[13] = a[13];
+ out[14] = a[14];
+ out[15] = a[15];
+ } // Perform axis-specific matrix multiplication
+
+
+ out[4] = a10 * c + a20 * s;
+ out[5] = a11 * c + a21 * s;
+ out[6] = a12 * c + a22 * s;
+ out[7] = a13 * c + a23 * s;
+ out[8] = a20 * c - a10 * s;
+ out[9] = a21 * c - a11 * s;
+ out[10] = a22 * c - a12 * s;
+ out[11] = a23 * c - a13 * s;
+ return out;
+ };
+ /**
+ * Rotates a matrix by the given angle around the Y axis
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the matrix to rotate
+ * @param {Number} rad the angle to rotate the matrix by
+ * @returns {mat4} out
+ */
+
+
+ mat4.rotateY = function (out, a, rad) {
+ var s = Math.sin(rad),
+ c = Math.cos(rad),
+ a00 = a[0],
+ a01 = a[1],
+ a02 = a[2],
+ a03 = a[3],
+ a20 = a[8],
+ a21 = a[9],
+ a22 = a[10],
+ a23 = a[11];
+
+ if (a !== out) {
+ // If the source and destination differ, copy the unchanged rows
+ out[4] = a[4];
+ out[5] = a[5];
+ out[6] = a[6];
+ out[7] = a[7];
+ out[12] = a[12];
+ out[13] = a[13];
+ out[14] = a[14];
+ out[15] = a[15];
+ } // Perform axis-specific matrix multiplication
+
+
+ out[0] = a00 * c - a20 * s;
+ out[1] = a01 * c - a21 * s;
+ out[2] = a02 * c - a22 * s;
+ out[3] = a03 * c - a23 * s;
+ out[8] = a00 * s + a20 * c;
+ out[9] = a01 * s + a21 * c;
+ out[10] = a02 * s + a22 * c;
+ out[11] = a03 * s + a23 * c;
+ return out;
+ };
+ /**
+ * Rotates a matrix by the given angle around the Z axis
+ *
+ * @param {mat4} out the receiving matrix
+ * @param {mat4} a the matrix to rotate
+ * @param {Number} rad the angle to rotate the matrix by
+ * @returns {mat4} out
+ */
+
+
+ mat4.rotateZ = function (out, a, rad) {
+ var s = Math.sin(rad),
+ c = Math.cos(rad),
+ a00 = a[0],
+ a01 = a[1],
+ a02 = a[2],
+ a03 = a[3],
+ a10 = a[4],
+ a11 = a[5],
+ a12 = a[6],
+ a13 = a[7];
+
+ if (a !== out) {
+ // If the source and destination differ, copy the unchanged last row
+ out[8] = a[8];
+ out[9] = a[9];
+ out[10] = a[10];
+ out[11] = a[11];
+ out[12] = a[12];
+ out[13] = a[13];
+ out[14] = a[14];
+ out[15] = a[15];
+ } // Perform axis-specific matrix multiplication
+
+
+ out[0] = a00 * c + a10 * s;
+ out[1] = a01 * c + a11 * s;
+ out[2] = a02 * c + a12 * s;
+ out[3] = a03 * c + a13 * s;
+ out[4] = a10 * c - a00 * s;
+ out[5] = a11 * c - a01 * s;
+ out[6] = a12 * c - a02 * s;
+ out[7] = a13 * c - a03 * s;
+ return out;
+ };
+ /**
+ * Creates a matrix from a quaternion rotation and vector translation
+ * This is equivalent to (but much faster than):
+ *
+ * mat4.identity(dest);
+ * mat4.translate(dest, vec);
+ * var quatMat = mat4.create();
+ * quat4.toMat4(quat, quatMat);
+ * mat4.multiply(dest, quatMat);
+ *
+ * @param {mat4} out mat4 receiving operation result
+ * @param {quat4} q Rotation quaternion
+ * @param {vec3} v Translation vector
+ * @returns {mat4} out
+ */
+
+
+ mat4.fromRotationTranslation = function (out, q, v) {
+ // Quaternion math
+ var x = q[0],
+ y = q[1],
+ z = q[2],
+ w = q[3],
+ x2 = x + x,
+ y2 = y + y,
+ z2 = z + z,
+ xx = x * x2,
+ xy = x * y2,
+ xz = x * z2,
+ yy = y * y2,
+ yz = y * z2,
+ zz = z * z2,
+ wx = w * x2,
+ wy = w * y2,
+ wz = w * z2;
+ out[0] = 1 - (yy + zz);
+ out[1] = xy + wz;
+ out[2] = xz - wy;
+ out[3] = 0;
+ out[4] = xy - wz;
+ out[5] = 1 - (xx + zz);
+ out[6] = yz + wx;
+ out[7] = 0;
+ out[8] = xz + wy;
+ out[9] = yz - wx;
+ out[10] = 1 - (xx + yy);
+ out[11] = 0;
+ out[12] = v[0];
+ out[13] = v[1];
+ out[14] = v[2];
+ out[15] = 1;
+ return out;
+ };
+ /**
+ * Calculates a 4x4 matrix from the given quaternion
+ *
+ * @param {mat4} out mat4 receiving operation result
+ * @param {quat} q Quaternion to create matrix from
+ *
+ * @returns {mat4} out
+ */
+
+
+ mat4.fromQuat = function (out, q) {
+ var x = q[0],
+ y = q[1],
+ z = q[2],
+ w = q[3],
+ x2 = x + x,
+ y2 = y + y,
+ z2 = z + z,
+ xx = x * x2,
+ xy = x * y2,
+ xz = x * z2,
+ yy = y * y2,
+ yz = y * z2,
+ zz = z * z2,
+ wx = w * x2,
+ wy = w * y2,
+ wz = w * z2;
+ out[0] = 1 - (yy + zz);
+ out[1] = xy + wz;
+ out[2] = xz - wy;
+ out[3] = 0;
+ out[4] = xy - wz;
+ out[5] = 1 - (xx + zz);
+ out[6] = yz + wx;
+ out[7] = 0;
+ out[8] = xz + wy;
+ out[9] = yz - wx;
+ out[10] = 1 - (xx + yy);
+ out[11] = 0;
+ out[12] = 0;
+ out[13] = 0;
+ out[14] = 0;
+ out[15] = 1;
+ return out;
+ };
+ /**
+ * Generates a frustum matrix with the given bounds
+ *
+ * @param {mat4} out mat4 frustum matrix will be written into
+ * @param {Number} left Left bound of the frustum
+ * @param {Number} right Right bound of the frustum
+ * @param {Number} bottom Bottom bound of the frustum
+ * @param {Number} top Top bound of the frustum
+ * @param {Number} near Near bound of the frustum
+ * @param {Number} far Far bound of the frustum
+ * @returns {mat4} out
+ */
+
+
+ mat4.frustum = function (out, left, right, bottom, top, near, far) {
+ var rl = 1 / (right - left),
+ tb = 1 / (top - bottom),
+ nf = 1 / (near - far);
+ out[0] = near * 2 * rl;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 0;
+ out[4] = 0;
+ out[5] = near * 2 * tb;
+ out[6] = 0;
+ out[7] = 0;
+ out[8] = (right + left) * rl;
+ out[9] = (top + bottom) * tb;
+ out[10] = (far + near) * nf;
+ out[11] = -1;
+ out[12] = 0;
+ out[13] = 0;
+ out[14] = far * near * 2 * nf;
+ out[15] = 0;
+ return out;
+ };
+ /**
+ * Generates a perspective projection matrix with the given bounds
+ *
+ * @param {mat4} out mat4 frustum matrix will be written into
+ * @param {number} fovy Vertical field of view in radians
+ * @param {number} aspect Aspect ratio. typically viewport width/height
+ * @param {number} near Near bound of the frustum
+ * @param {number} far Far bound of the frustum
+ * @returns {mat4} out
+ */
+
+
+ mat4.perspective = function (out, fovy, aspect, near, far) {
+ var f = 1.0 / Math.tan(fovy / 2),
+ nf = 1 / (near - far);
+ out[0] = f / aspect;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 0;
+ out[4] = 0;
+ out[5] = f;
+ out[6] = 0;
+ out[7] = 0;
+ out[8] = 0;
+ out[9] = 0;
+ out[10] = (far + near) * nf;
+ out[11] = -1;
+ out[12] = 0;
+ out[13] = 0;
+ out[14] = 2 * far * near * nf;
+ out[15] = 0;
+ return out;
+ };
+ /**
+ * Generates a orthogonal projection matrix with the given bounds
+ *
+ * @param {mat4} out mat4 frustum matrix will be written into
+ * @param {number} left Left bound of the frustum
+ * @param {number} right Right bound of the frustum
+ * @param {number} bottom Bottom bound of the frustum
+ * @param {number} top Top bound of the frustum
+ * @param {number} near Near bound of the frustum
+ * @param {number} far Far bound of the frustum
+ * @returns {mat4} out
+ */
+
+
+ mat4.ortho = function (out, left, right, bottom, top, near, far) {
+ var lr = 1 / (left - right),
+ bt = 1 / (bottom - top),
+ nf = 1 / (near - far);
+ out[0] = -2 * lr;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 0;
+ out[4] = 0;
+ out[5] = -2 * bt;
+ out[6] = 0;
+ out[7] = 0;
+ out[8] = 0;
+ out[9] = 0;
+ out[10] = 2 * nf;
+ out[11] = 0;
+ out[12] = (left + right) * lr;
+ out[13] = (top + bottom) * bt;
+ out[14] = (far + near) * nf;
+ out[15] = 1;
+ return out;
+ };
+ /**
+ * Generates a look-at matrix with the given eye position, focal point, and up axis
+ *
+ * @param {mat4} out mat4 frustum matrix will be written into
+ * @param {vec3} eye Position of the viewer
+ * @param {vec3} center Point the viewer is looking at
+ * @param {vec3} up vec3 pointing up
+ * @returns {mat4} out
+ */
+
+
+ mat4.lookAt = function (out, eye, center, up) {
+ var x0,
+ x1,
+ x2,
+ y0,
+ y1,
+ y2,
+ z0,
+ z1,
+ z2,
+ len,
+ eyex = eye[0],
+ eyey = eye[1],
+ eyez = eye[2],
+ upx = up[0],
+ upy = up[1],
+ upz = up[2],
+ centerx = center[0],
+ centery = center[1],
+ centerz = center[2];
+
+ if (Math.abs(eyex - centerx) < GLMAT_EPSILON && Math.abs(eyey - centery) < GLMAT_EPSILON && Math.abs(eyez - centerz) < GLMAT_EPSILON) {
+ return mat4.identity(out);
+ }
+
+ z0 = eyex - centerx;
+ z1 = eyey - centery;
+ z2 = eyez - centerz;
+ len = 1 / Math.sqrt(z0 * z0 + z1 * z1 + z2 * z2);
+ z0 *= len;
+ z1 *= len;
+ z2 *= len;
+ x0 = upy * z2 - upz * z1;
+ x1 = upz * z0 - upx * z2;
+ x2 = upx * z1 - upy * z0;
+ len = Math.sqrt(x0 * x0 + x1 * x1 + x2 * x2);
+
+ if (!len) {
+ x0 = 0;
+ x1 = 0;
+ x2 = 0;
+ } else {
+ len = 1 / len;
+ x0 *= len;
+ x1 *= len;
+ x2 *= len;
+ }
+
+ y0 = z1 * x2 - z2 * x1;
+ y1 = z2 * x0 - z0 * x2;
+ y2 = z0 * x1 - z1 * x0;
+ len = Math.sqrt(y0 * y0 + y1 * y1 + y2 * y2);
+
+ if (!len) {
+ y0 = 0;
+ y1 = 0;
+ y2 = 0;
+ } else {
+ len = 1 / len;
+ y0 *= len;
+ y1 *= len;
+ y2 *= len;
+ }
+
+ out[0] = x0;
+ out[1] = y0;
+ out[2] = z0;
+ out[3] = 0;
+ out[4] = x1;
+ out[5] = y1;
+ out[6] = z1;
+ out[7] = 0;
+ out[8] = x2;
+ out[9] = y2;
+ out[10] = z2;
+ out[11] = 0;
+ out[12] = -(x0 * eyex + x1 * eyey + x2 * eyez);
+ out[13] = -(y0 * eyex + y1 * eyey + y2 * eyez);
+ out[14] = -(z0 * eyex + z1 * eyey + z2 * eyez);
+ out[15] = 1;
+ return out;
+ };
+ /**
+ * Returns a string representation of a mat4
+ *
+ * @param {mat4} mat matrix to represent as a string
+ * @returns {String} string representation of the matrix
+ */
+
+
+ mat4.str = function (a) {
+ return 'mat4(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ', ' + a[4] + ', ' + a[5] + ', ' + a[6] + ', ' + a[7] + ', ' + a[8] + ', ' + a[9] + ', ' + a[10] + ', ' + a[11] + ', ' + a[12] + ', ' + a[13] + ', ' + a[14] + ', ' + a[15] + ')';
+ };
+
+ if (typeof exports !== 'undefined') {
+ exports.mat4 = mat4;
+ }
+
+ ;
+ /* Copyright (c) 2013, Brandon Jones, Colin MacKenzie IV. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+
+ /**
+ * @class Quaternion
+ * @name quat
+ */
+
+ var quat = {};
+ /**
+ * Creates a new identity quat
+ *
+ * @returns {quat} a new quaternion
+ */
+
+ quat.create = function () {
+ var out = new GLMAT_ARRAY_TYPE(4);
+ out[0] = 0;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 1;
+ return out;
+ };
+ /**
+ * Sets a quaternion to represent the shortest rotation from one
+ * vector to another.
+ *
+ * Both vectors are assumed to be unit length.
+ *
+ * @param {quat} out the receiving quaternion.
+ * @param {vec3} a the initial vector
+ * @param {vec3} b the destination vector
+ * @returns {quat} out
+ */
+
+
+ quat.rotationTo = function () {
+ var tmpvec3 = vec3.create();
+ var xUnitVec3 = vec3.fromValues(1, 0, 0);
+ var yUnitVec3 = vec3.fromValues(0, 1, 0);
+ return function (out, a, b) {
+ var dot = vec3.dot(a, b);
+
+ if (dot < -0.999999) {
+ vec3.cross(tmpvec3, xUnitVec3, a);
+ if (vec3.length(tmpvec3) < 0.000001) vec3.cross(tmpvec3, yUnitVec3, a);
+ vec3.normalize(tmpvec3, tmpvec3);
+ quat.setAxisAngle(out, tmpvec3, Math.PI);
+ return out;
+ } else if (dot > 0.999999) {
+ out[0] = 0;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 1;
+ return out;
+ } else {
+ vec3.cross(tmpvec3, a, b);
+ out[0] = tmpvec3[0];
+ out[1] = tmpvec3[1];
+ out[2] = tmpvec3[2];
+ out[3] = 1 + dot;
+ return quat.normalize(out, out);
+ }
+ };
+ }();
+ /**
+ * Sets the specified quaternion with values corresponding to the given
+ * axes. Each axis is a vec3 and is expected to be unit length and
+ * perpendicular to all other specified axes.
+ *
+ * @param {vec3} view the vector representing the viewing direction
+ * @param {vec3} right the vector representing the local "right" direction
+ * @param {vec3} up the vector representing the local "up" direction
+ * @returns {quat} out
+ */
+
+
+ quat.setAxes = function () {
+ var matr = mat3.create();
+ return function (out, view, right, up) {
+ matr[0] = right[0];
+ matr[3] = right[1];
+ matr[6] = right[2];
+ matr[1] = up[0];
+ matr[4] = up[1];
+ matr[7] = up[2];
+ matr[2] = view[0];
+ matr[5] = view[1];
+ matr[8] = view[2];
+ return quat.normalize(out, quat.fromMat3(out, matr));
+ };
+ }();
+ /**
+ * Creates a new quat initialized with values from an existing quaternion
+ *
+ * @param {quat} a quaternion to clone
+ * @returns {quat} a new quaternion
+ * @function
+ */
+
+
+ quat.clone = vec4.clone;
+ /**
+ * Creates a new quat initialized with the given values
+ *
+ * @param {Number} x X component
+ * @param {Number} y Y component
+ * @param {Number} z Z component
+ * @param {Number} w W component
+ * @returns {quat} a new quaternion
+ * @function
+ */
+
+ quat.fromValues = vec4.fromValues;
+ /**
+ * Copy the values from one quat to another
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {quat} a the source quaternion
+ * @returns {quat} out
+ * @function
+ */
+
+ quat.copy = vec4.copy;
+ /**
+ * Set the components of a quat to the given values
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {Number} x X component
+ * @param {Number} y Y component
+ * @param {Number} z Z component
+ * @param {Number} w W component
+ * @returns {quat} out
+ * @function
+ */
+
+ quat.set = vec4.set;
+ /**
+ * Set a quat to the identity quaternion
+ *
+ * @param {quat} out the receiving quaternion
+ * @returns {quat} out
+ */
+
+ quat.identity = function (out) {
+ out[0] = 0;
+ out[1] = 0;
+ out[2] = 0;
+ out[3] = 1;
+ return out;
+ };
+ /**
+ * Sets a quat from the given angle and rotation axis,
+ * then returns it.
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {vec3} axis the axis around which to rotate
+ * @param {Number} rad the angle in radians
+ * @returns {quat} out
+ **/
+
+
+ quat.setAxisAngle = function (out, axis, rad) {
+ rad = rad * 0.5;
+ var s = Math.sin(rad);
+ out[0] = s * axis[0];
+ out[1] = s * axis[1];
+ out[2] = s * axis[2];
+ out[3] = Math.cos(rad);
+ return out;
+ };
+ /**
+ * Adds two quat's
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {quat} a the first operand
+ * @param {quat} b the second operand
+ * @returns {quat} out
+ * @function
+ */
+
+
+ quat.add = vec4.add;
+ /**
+ * Multiplies two quat's
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {quat} a the first operand
+ * @param {quat} b the second operand
+ * @returns {quat} out
+ */
+
+ quat.multiply = function (out, a, b) {
+ var ax = a[0],
+ ay = a[1],
+ az = a[2],
+ aw = a[3],
+ bx = b[0],
+ by = b[1],
+ bz = b[2],
+ bw = b[3];
+ out[0] = ax * bw + aw * bx + ay * bz - az * by;
+ out[1] = ay * bw + aw * by + az * bx - ax * bz;
+ out[2] = az * bw + aw * bz + ax * by - ay * bx;
+ out[3] = aw * bw - ax * bx - ay * by - az * bz;
+ return out;
+ };
+ /**
+ * Alias for {@link quat.multiply}
+ * @function
+ */
+
+
+ quat.mul = quat.multiply;
+ /**
+ * Scales a quat by a scalar number
+ *
+ * @param {quat} out the receiving vector
+ * @param {quat} a the vector to scale
+ * @param {Number} b amount to scale the vector by
+ * @returns {quat} out
+ * @function
+ */
+
+ quat.scale = vec4.scale;
+ /**
+ * Rotates a quaternion by the given angle about the X axis
+ *
+ * @param {quat} out quat receiving operation result
+ * @param {quat} a quat to rotate
+ * @param {number} rad angle (in radians) to rotate
+ * @returns {quat} out
+ */
+
+ quat.rotateX = function (out, a, rad) {
+ rad *= 0.5;
+ var ax = a[0],
+ ay = a[1],
+ az = a[2],
+ aw = a[3],
+ bx = Math.sin(rad),
+ bw = Math.cos(rad);
+ out[0] = ax * bw + aw * bx;
+ out[1] = ay * bw + az * bx;
+ out[2] = az * bw - ay * bx;
+ out[3] = aw * bw - ax * bx;
+ return out;
+ };
+ /**
+ * Rotates a quaternion by the given angle about the Y axis
+ *
+ * @param {quat} out quat receiving operation result
+ * @param {quat} a quat to rotate
+ * @param {number} rad angle (in radians) to rotate
+ * @returns {quat} out
+ */
+
+
+ quat.rotateY = function (out, a, rad) {
+ rad *= 0.5;
+ var ax = a[0],
+ ay = a[1],
+ az = a[2],
+ aw = a[3],
+ by = Math.sin(rad),
+ bw = Math.cos(rad);
+ out[0] = ax * bw - az * by;
+ out[1] = ay * bw + aw * by;
+ out[2] = az * bw + ax * by;
+ out[3] = aw * bw - ay * by;
+ return out;
+ };
+ /**
+ * Rotates a quaternion by the given angle about the Z axis
+ *
+ * @param {quat} out quat receiving operation result
+ * @param {quat} a quat to rotate
+ * @param {number} rad angle (in radians) to rotate
+ * @returns {quat} out
+ */
+
+
+ quat.rotateZ = function (out, a, rad) {
+ rad *= 0.5;
+ var ax = a[0],
+ ay = a[1],
+ az = a[2],
+ aw = a[3],
+ bz = Math.sin(rad),
+ bw = Math.cos(rad);
+ out[0] = ax * bw + ay * bz;
+ out[1] = ay * bw - ax * bz;
+ out[2] = az * bw + aw * bz;
+ out[3] = aw * bw - az * bz;
+ return out;
+ };
+ /**
+ * Calculates the W component of a quat from the X, Y, and Z components.
+ * Assumes that quaternion is 1 unit in length.
+ * Any existing W component will be ignored.
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {quat} a quat to calculate W component of
+ * @returns {quat} out
+ */
+
+
+ quat.calculateW = function (out, a) {
+ var x = a[0],
+ y = a[1],
+ z = a[2];
+ out[0] = x;
+ out[1] = y;
+ out[2] = z;
+ out[3] = -Math.sqrt(Math.abs(1.0 - x * x - y * y - z * z));
+ return out;
+ };
+ /**
+ * Calculates the dot product of two quat's
+ *
+ * @param {quat} a the first operand
+ * @param {quat} b the second operand
+ * @returns {Number} dot product of a and b
+ * @function
+ */
+
+
+ quat.dot = vec4.dot;
+ /**
+ * Performs a linear interpolation between two quat's
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {quat} a the first operand
+ * @param {quat} b the second operand
+ * @param {Number} t interpolation amount between the two inputs
+ * @returns {quat} out
+ * @function
+ */
+
+ quat.lerp = vec4.lerp;
+ /**
+ * Performs a spherical linear interpolation between two quat
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {quat} a the first operand
+ * @param {quat} b the second operand
+ * @param {Number} t interpolation amount between the two inputs
+ * @returns {quat} out
+ */
+
+ quat.slerp = function (out, a, b, t) {
+ // benchmarks:
+ // http://jsperf.com/quaternion-slerp-implementations
+ var ax = a[0],
+ ay = a[1],
+ az = a[2],
+ aw = a[3],
+ bx = b[0],
+ by = b[1],
+ bz = b[2],
+ bw = b[3];
+ var omega, cosom, sinom, scale0, scale1; // calc cosine
+
+ cosom = ax * bx + ay * by + az * bz + aw * bw; // adjust signs (if necessary)
+
+ if (cosom < 0.0) {
+ cosom = -cosom;
+ bx = -bx;
+ by = -by;
+ bz = -bz;
+ bw = -bw;
+ } // calculate coefficients
+
+
+ if (1.0 - cosom > 0.000001) {
+ // standard case (slerp)
+ omega = Math.acos(cosom);
+ sinom = Math.sin(omega);
+ scale0 = Math.sin((1.0 - t) * omega) / sinom;
+ scale1 = Math.sin(t * omega) / sinom;
+ } else {
+ // "from" and "to" quaternions are very close
+ // ... so we can do a linear interpolation
+ scale0 = 1.0 - t;
+ scale1 = t;
+ } // calculate final values
+
+
+ out[0] = scale0 * ax + scale1 * bx;
+ out[1] = scale0 * ay + scale1 * by;
+ out[2] = scale0 * az + scale1 * bz;
+ out[3] = scale0 * aw + scale1 * bw;
+ return out;
+ };
+ /**
+ * Calculates the inverse of a quat
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {quat} a quat to calculate inverse of
+ * @returns {quat} out
+ */
+
+
+ quat.invert = function (out, a) {
+ var a0 = a[0],
+ a1 = a[1],
+ a2 = a[2],
+ a3 = a[3],
+ dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3,
+ invDot = dot ? 1.0 / dot : 0; // TODO: Would be faster to return [0,0,0,0] immediately if dot == 0
+
+ out[0] = -a0 * invDot;
+ out[1] = -a1 * invDot;
+ out[2] = -a2 * invDot;
+ out[3] = a3 * invDot;
+ return out;
+ };
+ /**
+ * Calculates the conjugate of a quat
+ * If the quaternion is normalized, this function is faster than quat.inverse and produces the same result.
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {quat} a quat to calculate conjugate of
+ * @returns {quat} out
+ */
+
+
+ quat.conjugate = function (out, a) {
+ out[0] = -a[0];
+ out[1] = -a[1];
+ out[2] = -a[2];
+ out[3] = a[3];
+ return out;
+ };
+ /**
+ * Calculates the length of a quat
+ *
+ * @param {quat} a vector to calculate length of
+ * @returns {Number} length of a
+ * @function
+ */
+
+
+ quat.length = vec4.length;
+ /**
+ * Alias for {@link quat.length}
+ * @function
+ */
+
+ quat.len = quat.length;
+ /**
+ * Calculates the squared length of a quat
+ *
+ * @param {quat} a vector to calculate squared length of
+ * @returns {Number} squared length of a
+ * @function
+ */
+
+ quat.squaredLength = vec4.squaredLength;
+ /**
+ * Alias for {@link quat.squaredLength}
+ * @function
+ */
+
+ quat.sqrLen = quat.squaredLength;
+ /**
+ * Normalize a quat
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {quat} a quaternion to normalize
+ * @returns {quat} out
+ * @function
+ */
+
+ quat.normalize = vec4.normalize;
+ /**
+ * Creates a quaternion from the given 3x3 rotation matrix.
+ *
+ * NOTE: The resultant quaternion is not normalized, so you should be sure
+ * to renormalize the quaternion yourself where necessary.
+ *
+ * @param {quat} out the receiving quaternion
+ * @param {mat3} m rotation matrix
+ * @returns {quat} out
+ * @function
+ */
+
+ quat.fromMat3 = function () {
+ // benchmarks:
+ // http://jsperf.com/typed-array-access-speed
+ // http://jsperf.com/conversion-of-3x3-matrix-to-quaternion
+ var s_iNext = typeof Int8Array !== 'undefined' ? new Int8Array([1, 2, 0]) : [1, 2, 0];
+ return function (out, m) {
+ // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes
+ // article "Quaternion Calculus and Fast Animation".
+ var fTrace = m[0] + m[4] + m[8];
+ var fRoot;
+
+ if (fTrace > 0.0) {
+ // |w| > 1/2, may as well choose w > 1/2
+ fRoot = Math.sqrt(fTrace + 1.0); // 2w
+
+ out[3] = 0.5 * fRoot;
+ fRoot = 0.5 / fRoot; // 1/(4w)
+
+ out[0] = (m[7] - m[5]) * fRoot;
+ out[1] = (m[2] - m[6]) * fRoot;
+ out[2] = (m[3] - m[1]) * fRoot;
+ } else {
+ // |w| <= 1/2
+ var i = 0;
+ if (m[4] > m[0]) i = 1;
+ if (m[8] > m[i * 3 + i]) i = 2;
+ var j = s_iNext[i];
+ var k = s_iNext[j];
+ fRoot = Math.sqrt(m[i * 3 + i] - m[j * 3 + j] - m[k * 3 + k] + 1.0);
+ out[i] = 0.5 * fRoot;
+ fRoot = 0.5 / fRoot;
+ out[3] = (m[k * 3 + j] - m[j * 3 + k]) * fRoot;
+ out[j] = (m[j * 3 + i] + m[i * 3 + j]) * fRoot;
+ out[k] = (m[k * 3 + i] + m[i * 3 + k]) * fRoot;
+ }
+
+ return out;
+ };
+ }();
+ /**
+ * Returns a string representation of a quatenion
+ *
+ * @param {quat} vec vector to represent as a string
+ * @returns {String} string representation of the vector
+ */
+
+
+ quat.str = function (a) {
+ return 'quat(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ')';
+ };
+
+ if (typeof exports !== 'undefined') {
+ exports.quat = quat;
+ }
+
+ ;
+ })(shim.exports);
+})(void 0);
\ No newline at end of file
diff --git a/client/public/brick-renderer/index.mjs b/client/public/brick-renderer/index.mjs
new file mode 100644
index 0000000..6628bd5
--- /dev/null
+++ b/client/public/brick-renderer/index.mjs
@@ -0,0 +1,82 @@
+import * as glm from './glm.mjs';
+import Shader from './shader.mjs';
+import Box from './box.mjs';
+
+let BasicVsource, BasicFSource;
+
+export async function RendererPreInit() {
+ BasicFSource = await fetch('./brick-renderer/basic.fs').then(r => r.text());
+ BasicVsource = await fetch('./brick-renderer/basic.vs').then(r => r.text());
+}
+
+class BaseRenderer {
+ constructor(canvas) {
+ this.canvas = canvas;
+ this.gl = canvas.getContext('webgl2');
+ this.gl.viewport(0, 0, canvas.width, canvas.height);
+ this.gl.clearColor(0.84313, 0.76078, 1.0, 1.0);
+ this.gl.clear(this.gl.COLOR_BUFFER_BIT);
+ this.gl.enable(this.gl.DEPTH_TEST);
+
+ this.shader = new Shader(this.gl, BasicVsource, BasicFSource);
+ this.shader.link();
+ }
+}
+
+export class BrickRenderer extends BaseRenderer {
+ constructor(canvas, options) {
+ super(canvas);
+
+ const sceneUniformLocation = this.shader.getUniformBlock('SceneUniforms');
+ const modelMatrixLocation = this.shader.getUniform('uModel');
+ this.shader.attatch();
+
+ const boxObj = new Box(this.gl, { dimensions: [0.5, 0.6, 0.5] });
+
+ const projMatrix = glm.mat4.create();
+ glm.mat4.perspective(projMatrix, Math.PI / 2, this.gl.drawingBufferWidth / this.gl.drawingBufferHeight, 0.1, 10.0);
+
+ const viewMatrix = glm.mat4.create();
+ const eyePosition = glm.vec3.fromValues(1, 1, 1);
+ glm.mat4.lookAt(viewMatrix, eyePosition, glm.vec3.fromValues(0, 0, 0), glm.vec3.fromValues(0, 1, 0));
+
+ const viewProjMatrix = glm.mat4.create();
+ glm.mat4.multiply(viewProjMatrix, projMatrix, viewMatrix);
+
+ const lightPosition = glm.vec3.fromValues(1, 1, 0.5);
+
+ const modelMatrix = glm.mat4.create();
+ const rotateXMatrix = glm.mat4.create();
+ const rotateYMatrix = glm.mat4.create();
+ const sceneUniformData = new Float32Array(24);
+ sceneUniformData.set(viewProjMatrix);
+ sceneUniformData.set(eyePosition, 16);
+ sceneUniformData.set(lightPosition, 20);
+
+ const sceneUniformBuffer = this.gl.createBuffer();
+ this.gl.bindBufferBase(this.gl.UNIFORM_BUFFER, 0, sceneUniformBuffer);
+ this.gl.bufferData(this.gl.UNIFORM_BUFFER, sceneUniformData, this.gl.STATIC_DRAW);
+
+ let angleX = 0;
+ let angleY = 0;
+
+
+ function draw() {
+ angleX += 0.01;
+ angleY += 0.015;
+
+ glm.mat4.fromXRotation(rotateXMatrix, angleX);
+ glm.mat4.fromYRotation(rotateYMatrix, angleY);
+ glm.mat4.multiply(modelMatrix, rotateXMatrix, rotateYMatrix);
+
+ this.gl.uniformMatrix4fv(modelMatrixLocation, false, modelMatrix);
+
+ this.gl.clear(this.gl.COLOR_BUFFER_BIT);
+ this.gl.drawArrays(this.gl.TRIANGLES, 0, boxObj.vertexCount);
+
+ requestAnimationFrame(draw);
+ }
+
+ requestAnimationFrame(draw);
+ }
+}
diff --git a/client/public/brick-renderer/shader.mjs b/client/public/brick-renderer/shader.mjs
new file mode 100644
index 0000000..02d83a9
--- /dev/null
+++ b/client/public/brick-renderer/shader.mjs
@@ -0,0 +1,127 @@
+
+export default class Shader {
+ constructor(gl, vSource, fSource) {
+ this.gl = gl;
+ this.vSource = vSource;
+ this.fSource = fSource;
+ this.uniformBlockNum = 0;
+ this.shaderProgram = 123;
+
+ this.vShader = this.gl.createShader(this.gl.VERTEX_SHADER);
+ this.gl.shaderSource(this.vShader, this.vSource);
+ this.gl.compileShader(this.vShader);
+
+ if (!this.gl.getShaderParameter(this.vShader, this.gl.COMPILE_STATUS)) {
+ console.error(this.gl.getShaderInfoLog(this.vShader));
+ }
+
+ this.fShader = this.gl.createShader(this.gl.FRAGMENT_SHADER);
+ this.gl.shaderSource(this.fShader, this.fSource);
+ this.gl.compileShader(this.fShader);
+
+ if (!this.gl.getShaderParameter(this.fShader, this.gl.COMPILE_STATUS)) {
+ console.error(this.gl.getShaderInfoLog(this.fShader));
+ }
+ }
+
+ get vertexShader() {
+ return this.vShader;
+ }
+
+ get fragmentShader() {
+ return this.fShader;
+ }
+
+ get program() {
+ return this.shaderProgram;
+ }
+
+ getUniformBlock(name) {
+ const location = this.gl.getUniformBlockIndex(this.shaderProgram, name);
+ this.gl.uniformBlockBinding(this.shaderProgram, location, this.uniformBlockNum);
+ this.uniformBlockNum++;
+
+ return location;
+ }
+
+ getUniform(name) {
+ return this.gl.getUniformLocation(this.shaderProgram, name);
+ }
+
+ attribLocation(location, name) {
+ this.gl.bindAttribLocation(this.shaderProgram, location, name);
+ }
+
+ setUniform(uniform, value) {
+ switch (uniform.type) {
+ case this.gl.FLOAT:
+ this.gl.uniform1f(uniform, value);
+ break;
+ case this.gl.FLOAT_VEC2:
+ this.gl.uniform2f(uniform, value[0], value[1]);
+ break;
+ case this.gl.FLOAT_VEC3:
+ this.gl.uniform3f(uniform, value[0], value[1], value[2]);
+ break;
+ case this.gl.FLOAT_VEC4:
+ this.gl.uniform4f(uniform, value[0], value[1], value[2], value[3]);
+ break;
+ case this.gl.INT:
+ this.gl.uniform1i(uniform, value);
+ break;
+ case this.gl.INT_VEC2:
+ this.gl.uniform2i(uniform, value[0], value[1]);
+ break;
+ case this.gl.INT_VEC3:
+ this.gl.uniform3i(uniform, value[0], value[1], value[2]);
+ break;
+ case this.gl.INT_VEC4:
+ this.gl.uniform4i(uniform, value[0], value[1], value[2], value[3]);
+ break;
+ case this.gl.BOOL:
+ this.gl.uniform1i(uniform, value);
+ break;
+ case this.gl.BOOL_VEC2:
+ this.gl.uniform2i(uniform, value[0], value[1]);
+ break;
+ case this.gl.BOOL_VEC3:
+ this.gl.uniform3i(uniform, value[0], value[1], value[2]);
+ break;
+ case this.gl.BOOL_VEC4:
+ this.gl.uniform4i(uniform, value[0], value[1], value[2], value[3]);
+ break;
+ case this.gl.FLOAT_MAT2:
+ this.gl.uniformMatrix2fv(uniform, false, value);
+ break;
+ case this.gl.FLOAT_MAT3:
+ this.gl.uniformMatrix3fv(uniform, false, value);
+ break;
+ case this.gl.FLOAT_MAT4:
+ this.gl.uniformMatrix4fv(uniform, false, value);
+ break;
+ case this.gl.SAMPLER_2D:
+ this.gl.uniform1i(uniform, value);
+ break;
+ case this.gl.SAMPLER_CUBE:
+ this.gl.uniform1i(uniform, value);
+ break;
+ default:
+ console.error(`Unsupported uniform type ${uniform.type}`);
+ }
+ }
+
+ link() {
+ this.shaderProgram = this.gl.createProgram();
+ this.gl.attachShader(this.shaderProgram, this.vShader);
+ this.gl.attachShader(this.shaderProgram, this.fShader);
+ this.gl.linkProgram(this.shaderProgram);
+
+ if (!this.gl.getProgramParameter(this.shaderProgram, this.gl.LINK_STATUS)) {
+ console.error(this.gl.getProgramParameter(this.shaderProgram));
+ }
+ }
+
+ attatch() {
+ this.gl.useProgram(this.shaderProgram);
+ }
+}
diff --git a/client/public/gl-matrix.js b/client/public/gl-matrix.js
deleted file mode 100644
index 6ef3575..0000000
--- a/client/public/gl-matrix.js
+++ /dev/null
@@ -1,6609 +0,0 @@
-/**
- * @fileoverview gl-matrix - High performance matrix and vector operations
- * @author Brandon Jones
- * @author Colin MacKenzie IV
- * @version 2.3.2
- */
-
-/* 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. */
-
-(function webpackUniversalModuleDefinition(root, factory) {
- if(typeof exports === 'object' && typeof module === 'object')
- module.exports = factory();
- else if(typeof define === 'function' && define.amd)
- define([], factory);
- else {
- var a = factory();
- for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i];
- }
-})(this, function() {
-return /******/ (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] = {
-/******/ exports: {},
-/******/ id: moduleId,
-/******/ loaded: false
-/******/ };
-
-/******/ // Execute the module function
-/******/ modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
-
-/******/ // Flag the module as loaded
-/******/ module.loaded = 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;
-
-/******/ // __webpack_public_path__
-/******/ __webpack_require__.p = "";
-
-/******/ // Load entry module and return exports
-/******/ return __webpack_require__(0);
-/******/ })
-/************************************************************************/
-/******/ ([
-/* 0 */
-/***/ function(module, exports, __webpack_require__) {
-
- /**
- * @fileoverview gl-matrix - High performance matrix and vector operations
- * @author Brandon Jones
- * @author Colin MacKenzie IV
- * @version 2.3.2
- */
-
- /* 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
-
- exports.glMatrix = __webpack_require__(1);
- exports.mat2 = __webpack_require__(2);
- exports.mat2d = __webpack_require__(3);
- exports.mat3 = __webpack_require__(4);
- exports.mat4 = __webpack_require__(5);
- exports.quat = __webpack_require__(6);
- exports.vec2 = __webpack_require__(9);
- exports.vec3 = __webpack_require__(7);
- exports.vec4 = __webpack_require__(8);
-
-/***/ },
-/* 1 */
-/***/ function(module, exports) {
-
- /* 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. */
-
- /**
- * @class Common utilities
- * @name glMatrix
- */
- var glMatrix = {};
-
- // Configuration Constants
- glMatrix.EPSILON = 0.000001;
- glMatrix.ARRAY_TYPE = (typeof Float32Array !== 'undefined') ? Float32Array : Array;
- glMatrix.RANDOM = Math.random;
- glMatrix.ENABLE_SIMD = false;
-
- // Capability detection
- glMatrix.SIMD_AVAILABLE = (glMatrix.ARRAY_TYPE === this.Float32Array) && ('SIMD' in this);
- glMatrix.USE_SIMD = glMatrix.ENABLE_SIMD && glMatrix.SIMD_AVAILABLE;
-
- /**
- * Sets the type of array used when creating new vectors and matrices
- *
- * @param {Type} type Array type, such as Float32Array or Array
- */
- glMatrix.setMatrixArrayType = function(type) {
- glMatrix.ARRAY_TYPE = type;
- }
-
- var degree = Math.PI / 180;
-
- /**
- * Convert Degree To Radian
- *
- * @param {Number} a Angle in Degrees
- */
- glMatrix.toRadian = function(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.
- */
- glMatrix.equals = function(a, b) {
- return Math.abs(a - b) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a), Math.abs(b));
- }
-
- module.exports = glMatrix;
-
-
-/***/ },
-/* 2 */
-/***/ function(module, exports, __webpack_require__) {
-
- /* 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. */
-
- var glMatrix = __webpack_require__(1);
-
- /**
- * @class 2x2 Matrix
- * @name mat2
- */
- var mat2 = {};
-
- /**
- * Creates a new identity mat2
- *
- * @returns {mat2} a new 2x2 matrix
- */
- mat2.create = function() {
- var out = new glMatrix.ARRAY_TYPE(4);
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- return out;
- };
-
- /**
- * Creates a new mat2 initialized with values from an existing matrix
- *
- * @param {mat2} a matrix to clone
- * @returns {mat2} a new 2x2 matrix
- */
- mat2.clone = function(a) {
- var out = new glMatrix.ARRAY_TYPE(4);
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- return out;
- };
-
- /**
- * Copy the values from one mat2 to another
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the source matrix
- * @returns {mat2} out
- */
- mat2.copy = function(out, a) {
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- return out;
- };
-
- /**
- * Set a mat2 to the identity matrix
- *
- * @param {mat2} out the receiving matrix
- * @returns {mat2} out
- */
- mat2.identity = function(out) {
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- return out;
- };
-
- /**
- * Create a new mat2 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} m10 Component in column 1, row 0 position (index 2)
- * @param {Number} m11 Component in column 1, row 1 position (index 3)
- * @returns {mat2} out A new 2x2 matrix
- */
- mat2.fromValues = function(m00, m01, m10, m11) {
- var out = new glMatrix.ARRAY_TYPE(4);
- out[0] = m00;
- out[1] = m01;
- out[2] = m10;
- out[3] = m11;
- return out;
- };
-
- /**
- * Set the components of a mat2 to the given values
- *
- * @param {mat2} 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} m10 Component in column 1, row 0 position (index 2)
- * @param {Number} m11 Component in column 1, row 1 position (index 3)
- * @returns {mat2} out
- */
- mat2.set = function(out, m00, m01, m10, m11) {
- out[0] = m00;
- out[1] = m01;
- out[2] = m10;
- out[3] = m11;
- return out;
- };
-
-
- /**
- * Transpose the values of a mat2
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the source matrix
- * @returns {mat2} out
- */
- mat2.transpose = function(out, a) {
- // If we are transposing ourselves we can skip a few steps but have to cache some values
- if (out === a) {
- var a1 = a[1];
- out[1] = a[2];
- out[2] = a1;
- } else {
- out[0] = a[0];
- out[1] = a[2];
- out[2] = a[1];
- out[3] = a[3];
- }
-
- return out;
- };
-
- /**
- * Inverts a mat2
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the source matrix
- * @returns {mat2} out
- */
- mat2.invert = function(out, a) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3],
-
- // Calculate the determinant
- det = a0 * a3 - a2 * a1;
-
- if (!det) {
- return null;
- }
- det = 1.0 / det;
-
- out[0] = a3 * det;
- out[1] = -a1 * det;
- out[2] = -a2 * det;
- out[3] = a0 * det;
-
- return out;
- };
-
- /**
- * Calculates the adjugate of a mat2
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the source matrix
- * @returns {mat2} out
- */
- mat2.adjoint = function(out, a) {
- // Caching this value is nessecary if out == a
- var a0 = a[0];
- out[0] = a[3];
- out[1] = -a[1];
- out[2] = -a[2];
- out[3] = a0;
-
- return out;
- };
-
- /**
- * Calculates the determinant of a mat2
- *
- * @param {mat2} a the source matrix
- * @returns {Number} determinant of a
- */
- mat2.determinant = function (a) {
- return a[0] * a[3] - a[2] * a[1];
- };
-
- /**
- * Multiplies two mat2's
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the first operand
- * @param {mat2} b the second operand
- * @returns {mat2} out
- */
- mat2.multiply = function (out, a, b) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3];
- var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3];
- out[0] = a0 * b0 + a2 * b1;
- out[1] = a1 * b0 + a3 * b1;
- out[2] = a0 * b2 + a2 * b3;
- out[3] = a1 * b2 + a3 * b3;
- return out;
- };
-
- /**
- * Alias for {@link mat2.multiply}
- * @function
- */
- mat2.mul = mat2.multiply;
-
- /**
- * Rotates a mat2 by the given angle
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat2} out
- */
- mat2.rotate = function (out, a, rad) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3],
- s = Math.sin(rad),
- c = Math.cos(rad);
- out[0] = a0 * c + a2 * s;
- out[1] = a1 * c + a3 * s;
- out[2] = a0 * -s + a2 * c;
- out[3] = a1 * -s + a3 * c;
- return out;
- };
-
- /**
- * Scales the mat2 by the dimensions in the given vec2
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the matrix to rotate
- * @param {vec2} v the vec2 to scale the matrix by
- * @returns {mat2} out
- **/
- mat2.scale = function(out, a, v) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3],
- v0 = v[0], v1 = v[1];
- out[0] = a0 * v0;
- out[1] = a1 * v0;
- out[2] = a2 * v1;
- out[3] = a3 * v1;
- return out;
- };
-
- /**
- * Creates a matrix from a given angle
- * This is equivalent to (but much faster than):
- *
- * mat2.identity(dest);
- * mat2.rotate(dest, dest, rad);
- *
- * @param {mat2} out mat2 receiving operation result
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat2} out
- */
- mat2.fromRotation = function(out, rad) {
- var s = Math.sin(rad),
- c = Math.cos(rad);
- out[0] = c;
- out[1] = s;
- out[2] = -s;
- out[3] = c;
- return out;
- }
-
- /**
- * Creates a matrix from a vector scaling
- * This is equivalent to (but much faster than):
- *
- * mat2.identity(dest);
- * mat2.scale(dest, dest, vec);
- *
- * @param {mat2} out mat2 receiving operation result
- * @param {vec2} v Scaling vector
- * @returns {mat2} out
- */
- mat2.fromScaling = function(out, v) {
- out[0] = v[0];
- out[1] = 0;
- out[2] = 0;
- out[3] = v[1];
- return out;
- }
-
- /**
- * Returns a string representation of a mat2
- *
- * @param {mat2} a matrix to represent as a string
- * @returns {String} string representation of the matrix
- */
- mat2.str = function (a) {
- return 'mat2(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ')';
- };
-
- /**
- * Returns Frobenius norm of a mat2
- *
- * @param {mat2} a the matrix to calculate Frobenius norm of
- * @returns {Number} Frobenius norm
- */
- mat2.frob = function (a) {
- return(Math.sqrt(Math.pow(a[0], 2) + Math.pow(a[1], 2) + Math.pow(a[2], 2) + Math.pow(a[3], 2)))
- };
-
- /**
- * Returns L, D and U matrices (Lower triangular, Diagonal and Upper triangular) by factorizing the input matrix
- * @param {mat2} L the lower triangular matrix
- * @param {mat2} D the diagonal matrix
- * @param {mat2} U the upper triangular matrix
- * @param {mat2} a the input matrix to factorize
- */
-
- mat2.LDU = function (L, D, U, a) {
- L[2] = a[2]/a[0];
- U[0] = a[0];
- U[1] = a[1];
- U[3] = a[3] - L[2] * U[1];
- return [L, D, U];
- };
-
- /**
- * Adds two mat2's
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the first operand
- * @param {mat2} b the second operand
- * @returns {mat2} out
- */
- mat2.add = function(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];
- return out;
- };
-
- /**
- * Subtracts matrix b from matrix a
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the first operand
- * @param {mat2} b the second operand
- * @returns {mat2} out
- */
- mat2.subtract = function(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];
- return out;
- };
-
- /**
- * Alias for {@link mat2.subtract}
- * @function
- */
- mat2.sub = mat2.subtract;
-
- /**
- * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)
- *
- * @param {mat2} a The first matrix.
- * @param {mat2} b The second matrix.
- * @returns {Boolean} True if the matrices are equal, false otherwise.
- */
- mat2.exactEquals = function (a, b) {
- return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];
- };
-
- /**
- * Returns whether or not the matrices have approximately the same elements in the same position.
- *
- * @param {mat2} a The first matrix.
- * @param {mat2} b The second matrix.
- * @returns {Boolean} True if the matrices are equal, false otherwise.
- */
- mat2.equals = function (a, b) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3];
- var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3];
- 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)));
- };
-
- /**
- * Multiply each element of the matrix by a scalar.
- *
- * @param {mat2} out the receiving matrix
- * @param {mat2} a the matrix to scale
- * @param {Number} b amount to scale the matrix's elements by
- * @returns {mat2} out
- */
- mat2.multiplyScalar = function(out, a, b) {
- out[0] = a[0] * b;
- out[1] = a[1] * b;
- out[2] = a[2] * b;
- out[3] = a[3] * b;
- return out;
- };
-
- /**
- * Adds two mat2's after multiplying each element of the second operand by a scalar value.
- *
- * @param {mat2} out the receiving vector
- * @param {mat2} a the first operand
- * @param {mat2} b the second operand
- * @param {Number} scale the amount to scale b's elements by before adding
- * @returns {mat2} out
- */
- mat2.multiplyScalarAndAdd = function(out, a, b, scale) {
- out[0] = a[0] + (b[0] * scale);
- out[1] = a[1] + (b[1] * scale);
- out[2] = a[2] + (b[2] * scale);
- out[3] = a[3] + (b[3] * scale);
- return out;
- };
-
- module.exports = mat2;
-
-
-/***/ },
-/* 3 */
-/***/ function(module, exports, __webpack_require__) {
-
- /* 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. */
-
- var glMatrix = __webpack_require__(1);
-
- /**
- * @class 2x3 Matrix
- * @name mat2d
- *
- * @description
- * A mat2d contains six elements defined as:
- *
- * [a, c, tx,
- * b, d, ty]
- *
- * This is a short form for the 3x3 matrix:
- *
- * [a, c, tx,
- * b, d, ty,
- * 0, 0, 1]
- *
- * The last row is ignored so the array is shorter and operations are faster.
- */
- var mat2d = {};
-
- /**
- * Creates a new identity mat2d
- *
- * @returns {mat2d} a new 2x3 matrix
- */
- mat2d.create = function() {
- var out = new glMatrix.ARRAY_TYPE(6);
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- out[4] = 0;
- out[5] = 0;
- return out;
- };
-
- /**
- * Creates a new mat2d initialized with values from an existing matrix
- *
- * @param {mat2d} a matrix to clone
- * @returns {mat2d} a new 2x3 matrix
- */
- mat2d.clone = function(a) {
- var out = new glMatrix.ARRAY_TYPE(6);
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- out[4] = a[4];
- out[5] = a[5];
- return out;
- };
-
- /**
- * Copy the values from one mat2d to another
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the source matrix
- * @returns {mat2d} out
- */
- mat2d.copy = function(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];
- return out;
- };
-
- /**
- * Set a mat2d to the identity matrix
- *
- * @param {mat2d} out the receiving matrix
- * @returns {mat2d} out
- */
- mat2d.identity = function(out) {
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- out[4] = 0;
- out[5] = 0;
- return out;
- };
-
- /**
- * Create a new mat2d with the given values
- *
- * @param {Number} a Component A (index 0)
- * @param {Number} b Component B (index 1)
- * @param {Number} c Component C (index 2)
- * @param {Number} d Component D (index 3)
- * @param {Number} tx Component TX (index 4)
- * @param {Number} ty Component TY (index 5)
- * @returns {mat2d} A new mat2d
- */
- mat2d.fromValues = function(a, b, c, d, tx, ty) {
- var out = new glMatrix.ARRAY_TYPE(6);
- out[0] = a;
- out[1] = b;
- out[2] = c;
- out[3] = d;
- out[4] = tx;
- out[5] = ty;
- return out;
- };
-
- /**
- * Set the components of a mat2d to the given values
- *
- * @param {mat2d} out the receiving matrix
- * @param {Number} a Component A (index 0)
- * @param {Number} b Component B (index 1)
- * @param {Number} c Component C (index 2)
- * @param {Number} d Component D (index 3)
- * @param {Number} tx Component TX (index 4)
- * @param {Number} ty Component TY (index 5)
- * @returns {mat2d} out
- */
- mat2d.set = function(out, a, b, c, d, tx, ty) {
- out[0] = a;
- out[1] = b;
- out[2] = c;
- out[3] = d;
- out[4] = tx;
- out[5] = ty;
- return out;
- };
-
- /**
- * Inverts a mat2d
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the source matrix
- * @returns {mat2d} out
- */
- mat2d.invert = function(out, a) {
- var aa = a[0], ab = a[1], ac = a[2], ad = a[3],
- atx = a[4], aty = a[5];
-
- var det = aa * ad - ab * ac;
- if(!det){
- return null;
- }
- det = 1.0 / det;
-
- out[0] = ad * det;
- out[1] = -ab * det;
- out[2] = -ac * det;
- out[3] = aa * det;
- out[4] = (ac * aty - ad * atx) * det;
- out[5] = (ab * atx - aa * aty) * det;
- return out;
- };
-
- /**
- * Calculates the determinant of a mat2d
- *
- * @param {mat2d} a the source matrix
- * @returns {Number} determinant of a
- */
- mat2d.determinant = function (a) {
- return a[0] * a[3] - a[1] * a[2];
- };
-
- /**
- * Multiplies two mat2d's
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the first operand
- * @param {mat2d} b the second operand
- * @returns {mat2d} out
- */
- mat2d.multiply = function (out, a, b) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5],
- b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3], b4 = b[4], b5 = b[5];
- out[0] = a0 * b0 + a2 * b1;
- out[1] = a1 * b0 + a3 * b1;
- out[2] = a0 * b2 + a2 * b3;
- out[3] = a1 * b2 + a3 * b3;
- out[4] = a0 * b4 + a2 * b5 + a4;
- out[5] = a1 * b4 + a3 * b5 + a5;
- return out;
- };
-
- /**
- * Alias for {@link mat2d.multiply}
- * @function
- */
- mat2d.mul = mat2d.multiply;
-
- /**
- * Rotates a mat2d by the given angle
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat2d} out
- */
- mat2d.rotate = function (out, a, rad) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5],
- s = Math.sin(rad),
- c = Math.cos(rad);
- out[0] = a0 * c + a2 * s;
- out[1] = a1 * c + a3 * s;
- out[2] = a0 * -s + a2 * c;
- out[3] = a1 * -s + a3 * c;
- out[4] = a4;
- out[5] = a5;
- return out;
- };
-
- /**
- * Scales the mat2d by the dimensions in the given vec2
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the matrix to translate
- * @param {vec2} v the vec2 to scale the matrix by
- * @returns {mat2d} out
- **/
- mat2d.scale = function(out, a, v) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5],
- v0 = v[0], v1 = v[1];
- out[0] = a0 * v0;
- out[1] = a1 * v0;
- out[2] = a2 * v1;
- out[3] = a3 * v1;
- out[4] = a4;
- out[5] = a5;
- return out;
- };
-
- /**
- * Translates the mat2d by the dimensions in the given vec2
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the matrix to translate
- * @param {vec2} v the vec2 to translate the matrix by
- * @returns {mat2d} out
- **/
- mat2d.translate = function(out, a, v) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5],
- v0 = v[0], v1 = v[1];
- out[0] = a0;
- out[1] = a1;
- out[2] = a2;
- out[3] = a3;
- out[4] = a0 * v0 + a2 * v1 + a4;
- out[5] = a1 * v0 + a3 * v1 + a5;
- return out;
- };
-
- /**
- * Creates a matrix from a given angle
- * This is equivalent to (but much faster than):
- *
- * mat2d.identity(dest);
- * mat2d.rotate(dest, dest, rad);
- *
- * @param {mat2d} out mat2d receiving operation result
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat2d} out
- */
- mat2d.fromRotation = function(out, rad) {
- var s = Math.sin(rad), c = Math.cos(rad);
- out[0] = c;
- out[1] = s;
- out[2] = -s;
- out[3] = c;
- out[4] = 0;
- out[5] = 0;
- return out;
- }
-
- /**
- * Creates a matrix from a vector scaling
- * This is equivalent to (but much faster than):
- *
- * mat2d.identity(dest);
- * mat2d.scale(dest, dest, vec);
- *
- * @param {mat2d} out mat2d receiving operation result
- * @param {vec2} v Scaling vector
- * @returns {mat2d} out
- */
- mat2d.fromScaling = function(out, v) {
- out[0] = v[0];
- out[1] = 0;
- out[2] = 0;
- out[3] = v[1];
- out[4] = 0;
- out[5] = 0;
- return out;
- }
-
- /**
- * Creates a matrix from a vector translation
- * This is equivalent to (but much faster than):
- *
- * mat2d.identity(dest);
- * mat2d.translate(dest, dest, vec);
- *
- * @param {mat2d} out mat2d receiving operation result
- * @param {vec2} v Translation vector
- * @returns {mat2d} out
- */
- mat2d.fromTranslation = function(out, v) {
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- out[4] = v[0];
- out[5] = v[1];
- return out;
- }
-
- /**
- * Returns a string representation of a mat2d
- *
- * @param {mat2d} a matrix to represent as a string
- * @returns {String} string representation of the matrix
- */
- mat2d.str = function (a) {
- return 'mat2d(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' +
- a[3] + ', ' + a[4] + ', ' + a[5] + ')';
- };
-
- /**
- * Returns Frobenius norm of a mat2d
- *
- * @param {mat2d} a the matrix to calculate Frobenius norm of
- * @returns {Number} Frobenius norm
- */
- mat2d.frob = function (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) + 1))
- };
-
- /**
- * Adds two mat2d's
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the first operand
- * @param {mat2d} b the second operand
- * @returns {mat2d} out
- */
- mat2d.add = function(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];
- return out;
- };
-
- /**
- * Subtracts matrix b from matrix a
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the first operand
- * @param {mat2d} b the second operand
- * @returns {mat2d} out
- */
- mat2d.subtract = function(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];
- return out;
- };
-
- /**
- * Alias for {@link mat2d.subtract}
- * @function
- */
- mat2d.sub = mat2d.subtract;
-
- /**
- * Multiply each element of the matrix by a scalar.
- *
- * @param {mat2d} out the receiving matrix
- * @param {mat2d} a the matrix to scale
- * @param {Number} b amount to scale the matrix's elements by
- * @returns {mat2d} out
- */
- mat2d.multiplyScalar = function(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;
- return out;
- };
-
- /**
- * Adds two mat2d's after multiplying each element of the second operand by a scalar value.
- *
- * @param {mat2d} out the receiving vector
- * @param {mat2d} a the first operand
- * @param {mat2d} b the second operand
- * @param {Number} scale the amount to scale b's elements by before adding
- * @returns {mat2d} out
- */
- mat2d.multiplyScalarAndAdd = function(out, a, b, scale) {
- out[0] = a[0] + (b[0] * scale);
- out[1] = a[1] + (b[1] * scale);
- 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);
- return out;
- };
-
- /**
- * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)
- *
- * @param {mat2d} a The first matrix.
- * @param {mat2d} b The second matrix.
- * @returns {Boolean} True if the matrices are equal, false otherwise.
- */
- mat2d.exactEquals = function (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];
- };
-
- /**
- * Returns whether or not the matrices have approximately the same elements in the same position.
- *
- * @param {mat2d} a The first matrix.
- * @param {mat2d} b The second matrix.
- * @returns {Boolean} True if the matrices are equal, false otherwise.
- */
- mat2d.equals = function (a, b) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5];
- var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3], b4 = b[4], b5 = b[5];
- 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)));
- };
-
- module.exports = mat2d;
-
-
-/***/ },
-/* 4 */
-/***/ function(module, exports, __webpack_require__) {
-
- /* 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. */
-
- var glMatrix = __webpack_require__(1);
-
- /**
- * @class 3x3 Matrix
- * @name mat3
- */
- var mat3 = {};
-
- /**
- * Creates a new identity mat3
- *
- * @returns {mat3} a new 3x3 matrix
- */
- mat3.create = function() {
- var out = new glMatrix.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
- */
- mat3.fromMat4 = function(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
- */
- mat3.clone = function(a) {
- var out = new glMatrix.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
- */
- mat3.copy = function(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
- */
- mat3.fromValues = function(m00, m01, m02, m10, m11, m12, m20, m21, m22) {
- var out = new glMatrix.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
- */
- mat3.set = function(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
- */
- mat3.identity = function(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
- */
- mat3.transpose = function(out, a) {
- // If we are transposing ourselves we can skip a few steps but have to cache some values
- if (out === a) {
- var 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
- */
- mat3.invert = function(out, a) {
- var 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],
-
- b01 = a22 * a11 - a12 * a21,
- b11 = -a22 * a10 + a12 * a20,
- b21 = a21 * a10 - a11 * a20,
-
- // Calculate the determinant
- 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
- */
- mat3.adjoint = function(out, a) {
- var 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];
-
- 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
- */
- mat3.determinant = function (a) {
- var 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];
-
- 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
- */
- mat3.multiply = function (out, a, b) {
- var 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],
-
- b00 = b[0], b01 = b[1], b02 = b[2],
- b10 = b[3], b11 = b[4], b12 = b[5],
- 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;
- };
-
- /**
- * Alias for {@link mat3.multiply}
- * @function
- */
- mat3.mul = mat3.multiply;
-
- /**
- * 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
- */
- mat3.translate = function(out, a, v) {
- var 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
- */
- mat3.rotate = function (out, a, rad) {
- var 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
- **/
- mat3.scale = function(out, a, v) {
- var 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
- */
- mat3.fromTranslation = function(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
- */
- mat3.fromRotation = function(out, rad) {
- var 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
- */
- mat3.fromScaling = function(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
- **/
- mat3.fromMat2d = function(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
- */
- mat3.fromQuat = function (out, q) {
- var x = q[0], y = q[1], z = q[2], w = q[3],
- x2 = x + x,
- y2 = y + y,
- z2 = z + z,
-
- xx = x * x2,
- yx = y * x2,
- yy = y * y2,
- zx = z * x2,
- zy = z * y2,
- zz = z * z2,
- wx = w * x2,
- wy = w * y2,
- 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
- */
- mat3.normalFromMat4 = function (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] = (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;
- };
-
- /**
- * Returns a string representation of a mat3
- *
- * @param {mat3} a matrix to represent as a string
- * @returns {String} string representation of the matrix
- */
- mat3.str = function (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
- */
- mat3.frob = function (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
- */
- mat3.add = function(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
- */
- mat3.subtract = function(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;
- };
-
- /**
- * Alias for {@link mat3.subtract}
- * @function
- */
- mat3.sub = mat3.subtract;
-
- /**
- * 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
- */
- mat3.multiplyScalar = function(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
- */
- mat3.multiplyScalarAndAdd = function(out, a, b, scale) {
- out[0] = a[0] + (b[0] * scale);
- out[1] = a[1] + (b[1] * scale);
- 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.
- */
- mat3.exactEquals = function (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.
- */
- mat3.equals = function (a, b) {
- var 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];
- var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3], b4 = b[4], b5 = b[5], b6 = a[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)));
- };
-
-
- module.exports = mat3;
-
-
-/***/ },
-/* 5 */
-/***/ function(module, exports, __webpack_require__) {
-
- /* 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. */
-
- var glMatrix = __webpack_require__(1);
-
- /**
- * @class 4x4 Matrix
- * @name mat4
- */
- var mat4 = {
- scalar: {},
- SIMD: {}
- };
-
- /**
- * Creates a new identity mat4
- *
- * @returns {mat4} a new 4x4 matrix
- */
- mat4.create = function() {
- var out = new glMatrix.ARRAY_TYPE(16);
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 0;
- out[4] = 0;
- out[5] = 1;
- out[6] = 0;
- out[7] = 0;
- out[8] = 0;
- out[9] = 0;
- out[10] = 1;
- out[11] = 0;
- out[12] = 0;
- out[13] = 0;
- out[14] = 0;
- out[15] = 1;
- return out;
- };
-
- /**
- * Creates a new mat4 initialized with values from an existing matrix
- *
- * @param {mat4} a matrix to clone
- * @returns {mat4} a new 4x4 matrix
- */
- mat4.clone = function(a) {
- var out = new glMatrix.ARRAY_TYPE(16);
- 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];
- out[9] = a[9];
- out[10] = a[10];
- out[11] = a[11];
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- return out;
- };
-
- /**
- * Copy the values from one mat4 to another
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.copy = function(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];
- out[9] = a[9];
- out[10] = a[10];
- out[11] = a[11];
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- return out;
- };
-
- /**
- * Create a new mat4 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} m03 Component in column 0, row 3 position (index 3)
- * @param {Number} m10 Component in column 1, row 0 position (index 4)
- * @param {Number} m11 Component in column 1, row 1 position (index 5)
- * @param {Number} m12 Component in column 1, row 2 position (index 6)
- * @param {Number} m13 Component in column 1, row 3 position (index 7)
- * @param {Number} m20 Component in column 2, row 0 position (index 8)
- * @param {Number} m21 Component in column 2, row 1 position (index 9)
- * @param {Number} m22 Component in column 2, row 2 position (index 10)
- * @param {Number} m23 Component in column 2, row 3 position (index 11)
- * @param {Number} m30 Component in column 3, row 0 position (index 12)
- * @param {Number} m31 Component in column 3, row 1 position (index 13)
- * @param {Number} m32 Component in column 3, row 2 position (index 14)
- * @param {Number} m33 Component in column 3, row 3 position (index 15)
- * @returns {mat4} A new mat4
- */
- mat4.fromValues = function(m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m30, m31, m32, m33) {
- var out = new glMatrix.ARRAY_TYPE(16);
- out[0] = m00;
- out[1] = m01;
- out[2] = m02;
- out[3] = m03;
- out[4] = m10;
- out[5] = m11;
- out[6] = m12;
- out[7] = m13;
- out[8] = m20;
- out[9] = m21;
- out[10] = m22;
- out[11] = m23;
- out[12] = m30;
- out[13] = m31;
- out[14] = m32;
- out[15] = m33;
- return out;
- };
-
- /**
- * Set the components of a mat4 to the given values
- *
- * @param {mat4} 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} m03 Component in column 0, row 3 position (index 3)
- * @param {Number} m10 Component in column 1, row 0 position (index 4)
- * @param {Number} m11 Component in column 1, row 1 position (index 5)
- * @param {Number} m12 Component in column 1, row 2 position (index 6)
- * @param {Number} m13 Component in column 1, row 3 position (index 7)
- * @param {Number} m20 Component in column 2, row 0 position (index 8)
- * @param {Number} m21 Component in column 2, row 1 position (index 9)
- * @param {Number} m22 Component in column 2, row 2 position (index 10)
- * @param {Number} m23 Component in column 2, row 3 position (index 11)
- * @param {Number} m30 Component in column 3, row 0 position (index 12)
- * @param {Number} m31 Component in column 3, row 1 position (index 13)
- * @param {Number} m32 Component in column 3, row 2 position (index 14)
- * @param {Number} m33 Component in column 3, row 3 position (index 15)
- * @returns {mat4} out
- */
- mat4.set = function(out, m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m30, m31, m32, m33) {
- out[0] = m00;
- out[1] = m01;
- out[2] = m02;
- out[3] = m03;
- out[4] = m10;
- out[5] = m11;
- out[6] = m12;
- out[7] = m13;
- out[8] = m20;
- out[9] = m21;
- out[10] = m22;
- out[11] = m23;
- out[12] = m30;
- out[13] = m31;
- out[14] = m32;
- out[15] = m33;
- return out;
- };
-
-
- /**
- * Set a mat4 to the identity matrix
- *
- * @param {mat4} out the receiving matrix
- * @returns {mat4} out
- */
- mat4.identity = function(out) {
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 0;
- out[4] = 0;
- out[5] = 1;
- out[6] = 0;
- out[7] = 0;
- out[8] = 0;
- out[9] = 0;
- out[10] = 1;
- out[11] = 0;
- out[12] = 0;
- out[13] = 0;
- out[14] = 0;
- out[15] = 1;
- return out;
- };
-
- /**
- * Transpose the values of a mat4 not using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.scalar.transpose = function(out, a) {
- // If we are transposing ourselves we can skip a few steps but have to cache some values
- if (out === a) {
- var a01 = a[1], a02 = a[2], a03 = a[3],
- a12 = a[6], a13 = a[7],
- a23 = a[11];
-
- out[1] = a[4];
- out[2] = a[8];
- out[3] = a[12];
- out[4] = a01;
- out[6] = a[9];
- out[7] = a[13];
- out[8] = a02;
- out[9] = a12;
- out[11] = a[14];
- out[12] = a03;
- out[13] = a13;
- out[14] = a23;
- } else {
- out[0] = a[0];
- out[1] = a[4];
- out[2] = a[8];
- out[3] = a[12];
- out[4] = a[1];
- out[5] = a[5];
- out[6] = a[9];
- out[7] = a[13];
- out[8] = a[2];
- out[9] = a[6];
- out[10] = a[10];
- out[11] = a[14];
- out[12] = a[3];
- out[13] = a[7];
- out[14] = a[11];
- out[15] = a[15];
- }
-
- return out;
- };
-
- /**
- * Transpose the values of a mat4 using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.SIMD.transpose = function(out, a) {
- var a0, a1, a2, a3,
- tmp01, tmp23,
- out0, out1, out2, out3;
-
- a0 = SIMD.Float32x4.load(a, 0);
- a1 = SIMD.Float32x4.load(a, 4);
- a2 = SIMD.Float32x4.load(a, 8);
- a3 = SIMD.Float32x4.load(a, 12);
-
- tmp01 = SIMD.Float32x4.shuffle(a0, a1, 0, 1, 4, 5);
- tmp23 = SIMD.Float32x4.shuffle(a2, a3, 0, 1, 4, 5);
- out0 = SIMD.Float32x4.shuffle(tmp01, tmp23, 0, 2, 4, 6);
- out1 = SIMD.Float32x4.shuffle(tmp01, tmp23, 1, 3, 5, 7);
- SIMD.Float32x4.store(out, 0, out0);
- SIMD.Float32x4.store(out, 4, out1);
-
- tmp01 = SIMD.Float32x4.shuffle(a0, a1, 2, 3, 6, 7);
- tmp23 = SIMD.Float32x4.shuffle(a2, a3, 2, 3, 6, 7);
- out2 = SIMD.Float32x4.shuffle(tmp01, tmp23, 0, 2, 4, 6);
- out3 = SIMD.Float32x4.shuffle(tmp01, tmp23, 1, 3, 5, 7);
- SIMD.Float32x4.store(out, 8, out2);
- SIMD.Float32x4.store(out, 12, out3);
-
- return out;
- };
-
- /**
- * Transpse a mat4 using SIMD if available and enabled
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.transpose = glMatrix.USE_SIMD ? mat4.SIMD.transpose : mat4.scalar.transpose;
-
- /**
- * Inverts a mat4 not using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.scalar.invert = function(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;
- };
-
- /**
- * Inverts a mat4 using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.SIMD.invert = function(out, a) {
- var row0, row1, row2, row3,
- tmp1,
- minor0, minor1, minor2, minor3,
- det,
- a0 = SIMD.Float32x4.load(a, 0),
- a1 = SIMD.Float32x4.load(a, 4),
- a2 = SIMD.Float32x4.load(a, 8),
- a3 = SIMD.Float32x4.load(a, 12);
-
- // Compute matrix adjugate
- tmp1 = SIMD.Float32x4.shuffle(a0, a1, 0, 1, 4, 5);
- row1 = SIMD.Float32x4.shuffle(a2, a3, 0, 1, 4, 5);
- row0 = SIMD.Float32x4.shuffle(tmp1, row1, 0, 2, 4, 6);
- row1 = SIMD.Float32x4.shuffle(row1, tmp1, 1, 3, 5, 7);
- tmp1 = SIMD.Float32x4.shuffle(a0, a1, 2, 3, 6, 7);
- row3 = SIMD.Float32x4.shuffle(a2, a3, 2, 3, 6, 7);
- row2 = SIMD.Float32x4.shuffle(tmp1, row3, 0, 2, 4, 6);
- row3 = SIMD.Float32x4.shuffle(row3, tmp1, 1, 3, 5, 7);
-
- tmp1 = SIMD.Float32x4.mul(row2, row3);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor0 = SIMD.Float32x4.mul(row1, tmp1);
- minor1 = SIMD.Float32x4.mul(row0, tmp1);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor0 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row1, tmp1), minor0);
- minor1 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row0, tmp1), minor1);
- minor1 = SIMD.Float32x4.swizzle(minor1, 2, 3, 0, 1);
-
- tmp1 = SIMD.Float32x4.mul(row1, row2);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor0 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row3, tmp1), minor0);
- minor3 = SIMD.Float32x4.mul(row0, tmp1);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor0 = SIMD.Float32x4.sub(minor0, SIMD.Float32x4.mul(row3, tmp1));
- minor3 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row0, tmp1), minor3);
- minor3 = SIMD.Float32x4.swizzle(minor3, 2, 3, 0, 1);
-
- tmp1 = SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(row1, 2, 3, 0, 1), row3);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- row2 = SIMD.Float32x4.swizzle(row2, 2, 3, 0, 1);
- minor0 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row2, tmp1), minor0);
- minor2 = SIMD.Float32x4.mul(row0, tmp1);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor0 = SIMD.Float32x4.sub(minor0, SIMD.Float32x4.mul(row2, tmp1));
- minor2 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row0, tmp1), minor2);
- minor2 = SIMD.Float32x4.swizzle(minor2, 2, 3, 0, 1);
-
- tmp1 = SIMD.Float32x4.mul(row0, row1);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor2 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row3, tmp1), minor2);
- minor3 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row2, tmp1), minor3);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor2 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row3, tmp1), minor2);
- minor3 = SIMD.Float32x4.sub(minor3, SIMD.Float32x4.mul(row2, tmp1));
-
- tmp1 = SIMD.Float32x4.mul(row0, row3);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor1 = SIMD.Float32x4.sub(minor1, SIMD.Float32x4.mul(row2, tmp1));
- minor2 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row1, tmp1), minor2);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor1 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row2, tmp1), minor1);
- minor2 = SIMD.Float32x4.sub(minor2, SIMD.Float32x4.mul(row1, tmp1));
-
- tmp1 = SIMD.Float32x4.mul(row0, row2);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor1 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row3, tmp1), minor1);
- minor3 = SIMD.Float32x4.sub(minor3, SIMD.Float32x4.mul(row1, tmp1));
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor1 = SIMD.Float32x4.sub(minor1, SIMD.Float32x4.mul(row3, tmp1));
- minor3 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row1, tmp1), minor3);
-
- // Compute matrix determinant
- det = SIMD.Float32x4.mul(row0, minor0);
- det = SIMD.Float32x4.add(SIMD.Float32x4.swizzle(det, 2, 3, 0, 1), det);
- det = SIMD.Float32x4.add(SIMD.Float32x4.swizzle(det, 1, 0, 3, 2), det);
- tmp1 = SIMD.Float32x4.reciprocalApproximation(det);
- det = SIMD.Float32x4.sub(
- SIMD.Float32x4.add(tmp1, tmp1),
- SIMD.Float32x4.mul(det, SIMD.Float32x4.mul(tmp1, tmp1)));
- det = SIMD.Float32x4.swizzle(det, 0, 0, 0, 0);
- if (!det) {
- return null;
- }
-
- // Compute matrix inverse
- SIMD.Float32x4.store(out, 0, SIMD.Float32x4.mul(det, minor0));
- SIMD.Float32x4.store(out, 4, SIMD.Float32x4.mul(det, minor1));
- SIMD.Float32x4.store(out, 8, SIMD.Float32x4.mul(det, minor2));
- SIMD.Float32x4.store(out, 12, SIMD.Float32x4.mul(det, minor3));
- return out;
- }
-
- /**
- * Inverts a mat4 using SIMD if available and enabled
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.invert = glMatrix.USE_SIMD ? mat4.SIMD.invert : mat4.scalar.invert;
-
- /**
- * Calculates the adjugate of a mat4 not using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.scalar.adjoint = function(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];
-
- out[0] = (a11 * (a22 * a33 - a23 * a32) - a21 * (a12 * a33 - a13 * a32) + a31 * (a12 * a23 - a13 * a22));
- out[1] = -(a01 * (a22 * a33 - a23 * a32) - a21 * (a02 * a33 - a03 * a32) + a31 * (a02 * a23 - a03 * a22));
- out[2] = (a01 * (a12 * a33 - a13 * a32) - a11 * (a02 * a33 - a03 * a32) + a31 * (a02 * a13 - a03 * a12));
- out[3] = -(a01 * (a12 * a23 - a13 * a22) - a11 * (a02 * a23 - a03 * a22) + a21 * (a02 * a13 - a03 * a12));
- out[4] = -(a10 * (a22 * a33 - a23 * a32) - a20 * (a12 * a33 - a13 * a32) + a30 * (a12 * a23 - a13 * a22));
- out[5] = (a00 * (a22 * a33 - a23 * a32) - a20 * (a02 * a33 - a03 * a32) + a30 * (a02 * a23 - a03 * a22));
- out[6] = -(a00 * (a12 * a33 - a13 * a32) - a10 * (a02 * a33 - a03 * a32) + a30 * (a02 * a13 - a03 * a12));
- out[7] = (a00 * (a12 * a23 - a13 * a22) - a10 * (a02 * a23 - a03 * a22) + a20 * (a02 * a13 - a03 * a12));
- out[8] = (a10 * (a21 * a33 - a23 * a31) - a20 * (a11 * a33 - a13 * a31) + a30 * (a11 * a23 - a13 * a21));
- out[9] = -(a00 * (a21 * a33 - a23 * a31) - a20 * (a01 * a33 - a03 * a31) + a30 * (a01 * a23 - a03 * a21));
- out[10] = (a00 * (a11 * a33 - a13 * a31) - a10 * (a01 * a33 - a03 * a31) + a30 * (a01 * a13 - a03 * a11));
- out[11] = -(a00 * (a11 * a23 - a13 * a21) - a10 * (a01 * a23 - a03 * a21) + a20 * (a01 * a13 - a03 * a11));
- out[12] = -(a10 * (a21 * a32 - a22 * a31) - a20 * (a11 * a32 - a12 * a31) + a30 * (a11 * a22 - a12 * a21));
- out[13] = (a00 * (a21 * a32 - a22 * a31) - a20 * (a01 * a32 - a02 * a31) + a30 * (a01 * a22 - a02 * a21));
- out[14] = -(a00 * (a11 * a32 - a12 * a31) - a10 * (a01 * a32 - a02 * a31) + a30 * (a01 * a12 - a02 * a11));
- out[15] = (a00 * (a11 * a22 - a12 * a21) - a10 * (a01 * a22 - a02 * a21) + a20 * (a01 * a12 - a02 * a11));
- return out;
- };
-
- /**
- * Calculates the adjugate of a mat4 using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.SIMD.adjoint = function(out, a) {
- var a0, a1, a2, a3;
- var row0, row1, row2, row3;
- var tmp1;
- var minor0, minor1, minor2, minor3;
-
- a0 = SIMD.Float32x4.load(a, 0);
- a1 = SIMD.Float32x4.load(a, 4);
- a2 = SIMD.Float32x4.load(a, 8);
- a3 = SIMD.Float32x4.load(a, 12);
-
- // Transpose the source matrix. Sort of. Not a true transpose operation
- tmp1 = SIMD.Float32x4.shuffle(a0, a1, 0, 1, 4, 5);
- row1 = SIMD.Float32x4.shuffle(a2, a3, 0, 1, 4, 5);
- row0 = SIMD.Float32x4.shuffle(tmp1, row1, 0, 2, 4, 6);
- row1 = SIMD.Float32x4.shuffle(row1, tmp1, 1, 3, 5, 7);
-
- tmp1 = SIMD.Float32x4.shuffle(a0, a1, 2, 3, 6, 7);
- row3 = SIMD.Float32x4.shuffle(a2, a3, 2, 3, 6, 7);
- row2 = SIMD.Float32x4.shuffle(tmp1, row3, 0, 2, 4, 6);
- row3 = SIMD.Float32x4.shuffle(row3, tmp1, 1, 3, 5, 7);
-
- tmp1 = SIMD.Float32x4.mul(row2, row3);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor0 = SIMD.Float32x4.mul(row1, tmp1);
- minor1 = SIMD.Float32x4.mul(row0, tmp1);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor0 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row1, tmp1), minor0);
- minor1 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row0, tmp1), minor1);
- minor1 = SIMD.Float32x4.swizzle(minor1, 2, 3, 0, 1);
-
- tmp1 = SIMD.Float32x4.mul(row1, row2);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor0 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row3, tmp1), minor0);
- minor3 = SIMD.Float32x4.mul(row0, tmp1);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor0 = SIMD.Float32x4.sub(minor0, SIMD.Float32x4.mul(row3, tmp1));
- minor3 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row0, tmp1), minor3);
- minor3 = SIMD.Float32x4.swizzle(minor3, 2, 3, 0, 1);
-
- tmp1 = SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(row1, 2, 3, 0, 1), row3);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- row2 = SIMD.Float32x4.swizzle(row2, 2, 3, 0, 1);
- minor0 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row2, tmp1), minor0);
- minor2 = SIMD.Float32x4.mul(row0, tmp1);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor0 = SIMD.Float32x4.sub(minor0, SIMD.Float32x4.mul(row2, tmp1));
- minor2 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row0, tmp1), minor2);
- minor2 = SIMD.Float32x4.swizzle(minor2, 2, 3, 0, 1);
-
- tmp1 = SIMD.Float32x4.mul(row0, row1);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor2 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row3, tmp1), minor2);
- minor3 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row2, tmp1), minor3);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor2 = SIMD.Float32x4.sub(SIMD.Float32x4.mul(row3, tmp1), minor2);
- minor3 = SIMD.Float32x4.sub(minor3, SIMD.Float32x4.mul(row2, tmp1));
-
- tmp1 = SIMD.Float32x4.mul(row0, row3);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor1 = SIMD.Float32x4.sub(minor1, SIMD.Float32x4.mul(row2, tmp1));
- minor2 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row1, tmp1), minor2);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor1 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row2, tmp1), minor1);
- minor2 = SIMD.Float32x4.sub(minor2, SIMD.Float32x4.mul(row1, tmp1));
-
- tmp1 = SIMD.Float32x4.mul(row0, row2);
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 1, 0, 3, 2);
- minor1 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row3, tmp1), minor1);
- minor3 = SIMD.Float32x4.sub(minor3, SIMD.Float32x4.mul(row1, tmp1));
- tmp1 = SIMD.Float32x4.swizzle(tmp1, 2, 3, 0, 1);
- minor1 = SIMD.Float32x4.sub(minor1, SIMD.Float32x4.mul(row3, tmp1));
- minor3 = SIMD.Float32x4.add(SIMD.Float32x4.mul(row1, tmp1), minor3);
-
- SIMD.Float32x4.store(out, 0, minor0);
- SIMD.Float32x4.store(out, 4, minor1);
- SIMD.Float32x4.store(out, 8, minor2);
- SIMD.Float32x4.store(out, 12, minor3);
- return out;
- };
-
- /**
- * Calculates the adjugate of a mat4 using SIMD if available and enabled
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the source matrix
- * @returns {mat4} out
- */
- mat4.adjoint = glMatrix.USE_SIMD ? mat4.SIMD.adjoint : mat4.scalar.adjoint;
-
- /**
- * Calculates the determinant of a mat4
- *
- * @param {mat4} a the source matrix
- * @returns {Number} determinant of a
- */
- mat4.determinant = function (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
- return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
- };
-
- /**
- * Multiplies two mat4's explicitly using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the first operand, must be a Float32Array
- * @param {mat4} b the second operand, must be a Float32Array
- * @returns {mat4} out
- */
- mat4.SIMD.multiply = function (out, a, b) {
- var a0 = SIMD.Float32x4.load(a, 0);
- var a1 = SIMD.Float32x4.load(a, 4);
- var a2 = SIMD.Float32x4.load(a, 8);
- var a3 = SIMD.Float32x4.load(a, 12);
-
- var b0 = SIMD.Float32x4.load(b, 0);
- var out0 = SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b0, 0, 0, 0, 0), a0),
- SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b0, 1, 1, 1, 1), a1),
- SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b0, 2, 2, 2, 2), a2),
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b0, 3, 3, 3, 3), a3))));
- SIMD.Float32x4.store(out, 0, out0);
-
- var b1 = SIMD.Float32x4.load(b, 4);
- var out1 = SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b1, 0, 0, 0, 0), a0),
- SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b1, 1, 1, 1, 1), a1),
- SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b1, 2, 2, 2, 2), a2),
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b1, 3, 3, 3, 3), a3))));
- SIMD.Float32x4.store(out, 4, out1);
-
- var b2 = SIMD.Float32x4.load(b, 8);
- var out2 = SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b2, 0, 0, 0, 0), a0),
- SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b2, 1, 1, 1, 1), a1),
- SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b2, 2, 2, 2, 2), a2),
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b2, 3, 3, 3, 3), a3))));
- SIMD.Float32x4.store(out, 8, out2);
-
- var b3 = SIMD.Float32x4.load(b, 12);
- var out3 = SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b3, 0, 0, 0, 0), a0),
- SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b3, 1, 1, 1, 1), a1),
- SIMD.Float32x4.add(
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b3, 2, 2, 2, 2), a2),
- SIMD.Float32x4.mul(SIMD.Float32x4.swizzle(b3, 3, 3, 3, 3), a3))));
- SIMD.Float32x4.store(out, 12, out3);
-
- return out;
- };
-
- /**
- * Multiplies two mat4's explicitly not using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the first operand
- * @param {mat4} b the second operand
- * @returns {mat4} out
- */
- mat4.scalar.multiply = function (out, a, b) {
- 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];
-
- // Cache only the current line of the second matrix
- var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3];
- out[0] = b0*a00 + b1*a10 + b2*a20 + b3*a30;
- out[1] = b0*a01 + b1*a11 + b2*a21 + b3*a31;
- out[2] = b0*a02 + b1*a12 + b2*a22 + b3*a32;
- out[3] = b0*a03 + b1*a13 + b2*a23 + b3*a33;
-
- b0 = b[4]; b1 = b[5]; b2 = b[6]; b3 = b[7];
- out[4] = b0*a00 + b1*a10 + b2*a20 + b3*a30;
- out[5] = b0*a01 + b1*a11 + b2*a21 + b3*a31;
- out[6] = b0*a02 + b1*a12 + b2*a22 + b3*a32;
- out[7] = b0*a03 + b1*a13 + b2*a23 + b3*a33;
-
- b0 = b[8]; b1 = b[9]; b2 = b[10]; b3 = b[11];
- out[8] = b0*a00 + b1*a10 + b2*a20 + b3*a30;
- out[9] = b0*a01 + b1*a11 + b2*a21 + b3*a31;
- out[10] = b0*a02 + b1*a12 + b2*a22 + b3*a32;
- out[11] = b0*a03 + b1*a13 + b2*a23 + b3*a33;
-
- b0 = b[12]; b1 = b[13]; b2 = b[14]; b3 = b[15];
- out[12] = b0*a00 + b1*a10 + b2*a20 + b3*a30;
- out[13] = b0*a01 + b1*a11 + b2*a21 + b3*a31;
- out[14] = b0*a02 + b1*a12 + b2*a22 + b3*a32;
- out[15] = b0*a03 + b1*a13 + b2*a23 + b3*a33;
- return out;
- };
-
- /**
- * Multiplies two mat4's using SIMD if available and enabled
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the first operand
- * @param {mat4} b the second operand
- * @returns {mat4} out
- */
- mat4.multiply = glMatrix.USE_SIMD ? mat4.SIMD.multiply : mat4.scalar.multiply;
-
- /**
- * Alias for {@link mat4.multiply}
- * @function
- */
- mat4.mul = mat4.multiply;
-
- /**
- * Translate a mat4 by the given vector not using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to translate
- * @param {vec3} v vector to translate by
- * @returns {mat4} out
- */
- mat4.scalar.translate = function (out, a, v) {
- var x = v[0], y = v[1], z = v[2],
- a00, a01, a02, a03,
- a10, a11, a12, a13,
- a20, a21, a22, a23;
-
- if (a === out) {
- out[12] = a[0] * x + a[4] * y + a[8] * z + a[12];
- out[13] = a[1] * x + a[5] * y + a[9] * z + a[13];
- out[14] = a[2] * x + a[6] * y + a[10] * z + a[14];
- out[15] = a[3] * x + a[7] * y + a[11] * z + a[15];
- } else {
- 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];
-
- out[0] = a00; out[1] = a01; out[2] = a02; out[3] = a03;
- out[4] = a10; out[5] = a11; out[6] = a12; out[7] = a13;
- out[8] = a20; out[9] = a21; out[10] = a22; out[11] = a23;
-
- out[12] = a00 * x + a10 * y + a20 * z + a[12];
- out[13] = a01 * x + a11 * y + a21 * z + a[13];
- out[14] = a02 * x + a12 * y + a22 * z + a[14];
- out[15] = a03 * x + a13 * y + a23 * z + a[15];
- }
-
- return out;
- };
-
- /**
- * Translates a mat4 by the given vector using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to translate
- * @param {vec3} v vector to translate by
- * @returns {mat4} out
- */
- mat4.SIMD.translate = function (out, a, v) {
- var a0 = SIMD.Float32x4.load(a, 0),
- a1 = SIMD.Float32x4.load(a, 4),
- a2 = SIMD.Float32x4.load(a, 8),
- a3 = SIMD.Float32x4.load(a, 12),
- vec = SIMD.Float32x4(v[0], v[1], v[2] , 0);
-
- if (a !== out) {
- 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]; out[9] = a[9]; out[10] = a[10]; out[11] = a[11];
- }
-
- a0 = SIMD.Float32x4.mul(a0, SIMD.Float32x4.swizzle(vec, 0, 0, 0, 0));
- a1 = SIMD.Float32x4.mul(a1, SIMD.Float32x4.swizzle(vec, 1, 1, 1, 1));
- a2 = SIMD.Float32x4.mul(a2, SIMD.Float32x4.swizzle(vec, 2, 2, 2, 2));
-
- var t0 = SIMD.Float32x4.add(a0, SIMD.Float32x4.add(a1, SIMD.Float32x4.add(a2, a3)));
- SIMD.Float32x4.store(out, 12, t0);
-
- return out;
- };
-
- /**
- * Translates a mat4 by the given vector using SIMD if available and enabled
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to translate
- * @param {vec3} v vector to translate by
- * @returns {mat4} out
- */
- mat4.translate = glMatrix.USE_SIMD ? mat4.SIMD.translate : mat4.scalar.translate;
-
- /**
- * Scales the mat4 by the dimensions in the given vec3 not using vectorization
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to scale
- * @param {vec3} v the vec3 to scale the matrix by
- * @returns {mat4} out
- **/
- mat4.scalar.scale = function(out, a, v) {
- var x = v[0], y = v[1], z = v[2];
-
- out[0] = a[0] * x;
- out[1] = a[1] * x;
- out[2] = a[2] * x;
- out[3] = a[3] * x;
- out[4] = a[4] * y;
- out[5] = a[5] * y;
- out[6] = a[6] * y;
- out[7] = a[7] * y;
- out[8] = a[8] * z;
- out[9] = a[9] * z;
- out[10] = a[10] * z;
- out[11] = a[11] * z;
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- return out;
- };
-
- /**
- * Scales the mat4 by the dimensions in the given vec3 using vectorization
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to scale
- * @param {vec3} v the vec3 to scale the matrix by
- * @returns {mat4} out
- **/
- mat4.SIMD.scale = function(out, a, v) {
- var a0, a1, a2;
- var vec = SIMD.Float32x4(v[0], v[1], v[2], 0);
-
- a0 = SIMD.Float32x4.load(a, 0);
- SIMD.Float32x4.store(
- out, 0, SIMD.Float32x4.mul(a0, SIMD.Float32x4.swizzle(vec, 0, 0, 0, 0)));
-
- a1 = SIMD.Float32x4.load(a, 4);
- SIMD.Float32x4.store(
- out, 4, SIMD.Float32x4.mul(a1, SIMD.Float32x4.swizzle(vec, 1, 1, 1, 1)));
-
- a2 = SIMD.Float32x4.load(a, 8);
- SIMD.Float32x4.store(
- out, 8, SIMD.Float32x4.mul(a2, SIMD.Float32x4.swizzle(vec, 2, 2, 2, 2)));
-
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- return out;
- };
-
- /**
- * Scales the mat4 by the dimensions in the given vec3 using SIMD if available and enabled
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to scale
- * @param {vec3} v the vec3 to scale the matrix by
- * @returns {mat4} out
- */
- mat4.scale = glMatrix.USE_SIMD ? mat4.SIMD.scale : mat4.scalar.scale;
-
- /**
- * Rotates a mat4 by the given angle around the given axis
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @param {vec3} axis the axis to rotate around
- * @returns {mat4} out
- */
- mat4.rotate = function (out, a, rad, axis) {
- var x = axis[0], y = axis[1], z = axis[2],
- len = Math.sqrt(x * x + y * y + z * z),
- s, c, t,
- a00, a01, a02, a03,
- a10, a11, a12, a13,
- a20, a21, a22, a23,
- b00, b01, b02,
- b10, b11, b12,
- b20, b21, b22;
-
- if (Math.abs(len) < glMatrix.EPSILON) { return null; }
-
- len = 1 / len;
- x *= len;
- y *= len;
- z *= len;
-
- s = Math.sin(rad);
- c = Math.cos(rad);
- t = 1 - c;
-
- 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];
-
- // Construct the elements of the rotation matrix
- b00 = x * x * t + c; b01 = y * x * t + z * s; b02 = z * x * t - y * s;
- b10 = x * y * t - z * s; b11 = y * y * t + c; b12 = z * y * t + x * s;
- b20 = x * z * t + y * s; b21 = y * z * t - x * s; b22 = z * z * t + c;
-
- // Perform rotation-specific matrix multiplication
- out[0] = a00 * b00 + a10 * b01 + a20 * b02;
- out[1] = a01 * b00 + a11 * b01 + a21 * b02;
- out[2] = a02 * b00 + a12 * b01 + a22 * b02;
- out[3] = a03 * b00 + a13 * b01 + a23 * b02;
- out[4] = a00 * b10 + a10 * b11 + a20 * b12;
- out[5] = a01 * b10 + a11 * b11 + a21 * b12;
- out[6] = a02 * b10 + a12 * b11 + a22 * b12;
- out[7] = a03 * b10 + a13 * b11 + a23 * b12;
- out[8] = a00 * b20 + a10 * b21 + a20 * b22;
- out[9] = a01 * b20 + a11 * b21 + a21 * b22;
- out[10] = a02 * b20 + a12 * b21 + a22 * b22;
- out[11] = a03 * b20 + a13 * b21 + a23 * b22;
-
- if (a !== out) { // If the source and destination differ, copy the unchanged last row
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- }
- return out;
- };
-
- /**
- * Rotates a matrix by the given angle around the X axis not using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.scalar.rotateX = function (out, a, rad) {
- var s = Math.sin(rad),
- c = Math.cos(rad),
- a10 = a[4],
- a11 = a[5],
- a12 = a[6],
- a13 = a[7],
- a20 = a[8],
- a21 = a[9],
- a22 = a[10],
- a23 = a[11];
-
- if (a !== out) { // If the source and destination differ, copy the unchanged rows
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- }
-
- // Perform axis-specific matrix multiplication
- out[4] = a10 * c + a20 * s;
- out[5] = a11 * c + a21 * s;
- out[6] = a12 * c + a22 * s;
- out[7] = a13 * c + a23 * s;
- out[8] = a20 * c - a10 * s;
- out[9] = a21 * c - a11 * s;
- out[10] = a22 * c - a12 * s;
- out[11] = a23 * c - a13 * s;
- return out;
- };
-
- /**
- * Rotates a matrix by the given angle around the X axis using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.SIMD.rotateX = function (out, a, rad) {
- var s = SIMD.Float32x4.splat(Math.sin(rad)),
- c = SIMD.Float32x4.splat(Math.cos(rad));
-
- if (a !== out) { // If the source and destination differ, copy the unchanged rows
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- }
-
- // Perform axis-specific matrix multiplication
- var a_1 = SIMD.Float32x4.load(a, 4);
- var a_2 = SIMD.Float32x4.load(a, 8);
- SIMD.Float32x4.store(out, 4,
- SIMD.Float32x4.add(SIMD.Float32x4.mul(a_1, c), SIMD.Float32x4.mul(a_2, s)));
- SIMD.Float32x4.store(out, 8,
- SIMD.Float32x4.sub(SIMD.Float32x4.mul(a_2, c), SIMD.Float32x4.mul(a_1, s)));
- return out;
- };
-
- /**
- * Rotates a matrix by the given angle around the X axis using SIMD if availabe and enabled
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.rotateX = glMatrix.USE_SIMD ? mat4.SIMD.rotateX : mat4.scalar.rotateX;
-
- /**
- * Rotates a matrix by the given angle around the Y axis not using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.scalar.rotateY = function (out, a, rad) {
- var s = Math.sin(rad),
- c = Math.cos(rad),
- a00 = a[0],
- a01 = a[1],
- a02 = a[2],
- a03 = a[3],
- a20 = a[8],
- a21 = a[9],
- a22 = a[10],
- a23 = a[11];
-
- if (a !== out) { // If the source and destination differ, copy the unchanged rows
- out[4] = a[4];
- out[5] = a[5];
- out[6] = a[6];
- out[7] = a[7];
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- }
-
- // Perform axis-specific matrix multiplication
- out[0] = a00 * c - a20 * s;
- out[1] = a01 * c - a21 * s;
- out[2] = a02 * c - a22 * s;
- out[3] = a03 * c - a23 * s;
- out[8] = a00 * s + a20 * c;
- out[9] = a01 * s + a21 * c;
- out[10] = a02 * s + a22 * c;
- out[11] = a03 * s + a23 * c;
- return out;
- };
-
- /**
- * Rotates a matrix by the given angle around the Y axis using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.SIMD.rotateY = function (out, a, rad) {
- var s = SIMD.Float32x4.splat(Math.sin(rad)),
- c = SIMD.Float32x4.splat(Math.cos(rad));
-
- if (a !== out) { // If the source and destination differ, copy the unchanged rows
- out[4] = a[4];
- out[5] = a[5];
- out[6] = a[6];
- out[7] = a[7];
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- }
-
- // Perform axis-specific matrix multiplication
- var a_0 = SIMD.Float32x4.load(a, 0);
- var a_2 = SIMD.Float32x4.load(a, 8);
- SIMD.Float32x4.store(out, 0,
- SIMD.Float32x4.sub(SIMD.Float32x4.mul(a_0, c), SIMD.Float32x4.mul(a_2, s)));
- SIMD.Float32x4.store(out, 8,
- SIMD.Float32x4.add(SIMD.Float32x4.mul(a_0, s), SIMD.Float32x4.mul(a_2, c)));
- return out;
- };
-
- /**
- * Rotates a matrix by the given angle around the Y axis if SIMD available and enabled
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.rotateY = glMatrix.USE_SIMD ? mat4.SIMD.rotateY : mat4.scalar.rotateY;
-
- /**
- * Rotates a matrix by the given angle around the Z axis not using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.scalar.rotateZ = function (out, a, rad) {
- var s = Math.sin(rad),
- c = Math.cos(rad),
- a00 = a[0],
- a01 = a[1],
- a02 = a[2],
- a03 = a[3],
- a10 = a[4],
- a11 = a[5],
- a12 = a[6],
- a13 = a[7];
-
- if (a !== out) { // If the source and destination differ, copy the unchanged last row
- out[8] = a[8];
- out[9] = a[9];
- out[10] = a[10];
- out[11] = a[11];
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- }
-
- // Perform axis-specific matrix multiplication
- out[0] = a00 * c + a10 * s;
- out[1] = a01 * c + a11 * s;
- out[2] = a02 * c + a12 * s;
- out[3] = a03 * c + a13 * s;
- out[4] = a10 * c - a00 * s;
- out[5] = a11 * c - a01 * s;
- out[6] = a12 * c - a02 * s;
- out[7] = a13 * c - a03 * s;
- return out;
- };
-
- /**
- * Rotates a matrix by the given angle around the Z axis using SIMD
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.SIMD.rotateZ = function (out, a, rad) {
- var s = SIMD.Float32x4.splat(Math.sin(rad)),
- c = SIMD.Float32x4.splat(Math.cos(rad));
-
- if (a !== out) { // If the source and destination differ, copy the unchanged last row
- out[8] = a[8];
- out[9] = a[9];
- out[10] = a[10];
- out[11] = a[11];
- out[12] = a[12];
- out[13] = a[13];
- out[14] = a[14];
- out[15] = a[15];
- }
-
- // Perform axis-specific matrix multiplication
- var a_0 = SIMD.Float32x4.load(a, 0);
- var a_1 = SIMD.Float32x4.load(a, 4);
- SIMD.Float32x4.store(out, 0,
- SIMD.Float32x4.add(SIMD.Float32x4.mul(a_0, c), SIMD.Float32x4.mul(a_1, s)));
- SIMD.Float32x4.store(out, 4,
- SIMD.Float32x4.sub(SIMD.Float32x4.mul(a_1, c), SIMD.Float32x4.mul(a_0, s)));
- return out;
- };
-
- /**
- * Rotates a matrix by the given angle around the Z axis if SIMD available and enabled
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to rotate
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.rotateZ = glMatrix.USE_SIMD ? mat4.SIMD.rotateZ : mat4.scalar.rotateZ;
-
- /**
- * Creates a matrix from a vector translation
- * This is equivalent to (but much faster than):
- *
- * mat4.identity(dest);
- * mat4.translate(dest, dest, vec);
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {vec3} v Translation vector
- * @returns {mat4} out
- */
- mat4.fromTranslation = function(out, v) {
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 0;
- out[4] = 0;
- out[5] = 1;
- out[6] = 0;
- out[7] = 0;
- out[8] = 0;
- out[9] = 0;
- out[10] = 1;
- out[11] = 0;
- out[12] = v[0];
- out[13] = v[1];
- out[14] = v[2];
- out[15] = 1;
- return out;
- }
-
- /**
- * Creates a matrix from a vector scaling
- * This is equivalent to (but much faster than):
- *
- * mat4.identity(dest);
- * mat4.scale(dest, dest, vec);
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {vec3} v Scaling vector
- * @returns {mat4} out
- */
- mat4.fromScaling = function(out, v) {
- out[0] = v[0];
- out[1] = 0;
- out[2] = 0;
- out[3] = 0;
- out[4] = 0;
- out[5] = v[1];
- out[6] = 0;
- out[7] = 0;
- out[8] = 0;
- out[9] = 0;
- out[10] = v[2];
- out[11] = 0;
- out[12] = 0;
- out[13] = 0;
- out[14] = 0;
- out[15] = 1;
- return out;
- }
-
- /**
- * Creates a matrix from a given angle around a given axis
- * This is equivalent to (but much faster than):
- *
- * mat4.identity(dest);
- * mat4.rotate(dest, dest, rad, axis);
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {Number} rad the angle to rotate the matrix by
- * @param {vec3} axis the axis to rotate around
- * @returns {mat4} out
- */
- mat4.fromRotation = function(out, rad, axis) {
- var x = axis[0], y = axis[1], z = axis[2],
- len = Math.sqrt(x * x + y * y + z * z),
- s, c, t;
-
- if (Math.abs(len) < glMatrix.EPSILON) { return null; }
-
- len = 1 / len;
- x *= len;
- y *= len;
- z *= len;
-
- s = Math.sin(rad);
- c = Math.cos(rad);
- t = 1 - c;
-
- // Perform rotation-specific matrix multiplication
- out[0] = x * x * t + c;
- out[1] = y * x * t + z * s;
- out[2] = z * x * t - y * s;
- out[3] = 0;
- out[4] = x * y * t - z * s;
- out[5] = y * y * t + c;
- out[6] = z * y * t + x * s;
- out[7] = 0;
- out[8] = x * z * t + y * s;
- out[9] = y * z * t - x * s;
- out[10] = z * z * t + c;
- out[11] = 0;
- out[12] = 0;
- out[13] = 0;
- out[14] = 0;
- out[15] = 1;
- return out;
- }
-
- /**
- * Creates a matrix from the given angle around the X axis
- * This is equivalent to (but much faster than):
- *
- * mat4.identity(dest);
- * mat4.rotateX(dest, dest, rad);
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.fromXRotation = function(out, rad) {
- var s = Math.sin(rad),
- c = Math.cos(rad);
-
- // Perform axis-specific matrix multiplication
- out[0] = 1;
- out[1] = 0;
- out[2] = 0;
- out[3] = 0;
- out[4] = 0;
- out[5] = c;
- out[6] = s;
- out[7] = 0;
- out[8] = 0;
- out[9] = -s;
- out[10] = c;
- out[11] = 0;
- out[12] = 0;
- out[13] = 0;
- out[14] = 0;
- out[15] = 1;
- return out;
- }
-
- /**
- * Creates a matrix from the given angle around the Y axis
- * This is equivalent to (but much faster than):
- *
- * mat4.identity(dest);
- * mat4.rotateY(dest, dest, rad);
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.fromYRotation = function(out, rad) {
- var s = Math.sin(rad),
- c = Math.cos(rad);
-
- // Perform axis-specific matrix multiplication
- out[0] = c;
- out[1] = 0;
- out[2] = -s;
- out[3] = 0;
- out[4] = 0;
- out[5] = 1;
- out[6] = 0;
- out[7] = 0;
- out[8] = s;
- out[9] = 0;
- out[10] = c;
- out[11] = 0;
- out[12] = 0;
- out[13] = 0;
- out[14] = 0;
- out[15] = 1;
- return out;
- }
-
- /**
- * Creates a matrix from the given angle around the Z axis
- * This is equivalent to (but much faster than):
- *
- * mat4.identity(dest);
- * mat4.rotateZ(dest, dest, rad);
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {Number} rad the angle to rotate the matrix by
- * @returns {mat4} out
- */
- mat4.fromZRotation = function(out, rad) {
- var s = Math.sin(rad),
- c = Math.cos(rad);
-
- // Perform axis-specific matrix multiplication
- out[0] = c;
- out[1] = s;
- out[2] = 0;
- out[3] = 0;
- out[4] = -s;
- out[5] = c;
- out[6] = 0;
- out[7] = 0;
- out[8] = 0;
- out[9] = 0;
- out[10] = 1;
- out[11] = 0;
- out[12] = 0;
- out[13] = 0;
- out[14] = 0;
- out[15] = 1;
- return out;
- }
-
- /**
- * Creates a matrix from a quaternion rotation and vector translation
- * This is equivalent to (but much faster than):
- *
- * mat4.identity(dest);
- * mat4.translate(dest, vec);
- * var quatMat = mat4.create();
- * quat4.toMat4(quat, quatMat);
- * mat4.multiply(dest, quatMat);
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {quat4} q Rotation quaternion
- * @param {vec3} v Translation vector
- * @returns {mat4} out
- */
- mat4.fromRotationTranslation = function (out, q, v) {
- // Quaternion math
- var x = q[0], y = q[1], z = q[2], w = q[3],
- x2 = x + x,
- y2 = y + y,
- z2 = z + z,
-
- xx = x * x2,
- xy = x * y2,
- xz = x * z2,
- yy = y * y2,
- yz = y * z2,
- zz = z * z2,
- wx = w * x2,
- wy = w * y2,
- wz = w * z2;
-
- out[0] = 1 - (yy + zz);
- out[1] = xy + wz;
- out[2] = xz - wy;
- out[3] = 0;
- out[4] = xy - wz;
- out[5] = 1 - (xx + zz);
- out[6] = yz + wx;
- out[7] = 0;
- out[8] = xz + wy;
- out[9] = yz - wx;
- out[10] = 1 - (xx + yy);
- out[11] = 0;
- out[12] = v[0];
- out[13] = v[1];
- out[14] = v[2];
- out[15] = 1;
-
- return out;
- };
-
- /**
- * Returns the translation vector component of a transformation
- * matrix. If a matrix is built with fromRotationTranslation,
- * the returned vector will be the same as the translation vector
- * originally supplied.
- * @param {vec3} out Vector to receive translation component
- * @param {mat4} mat Matrix to be decomposed (input)
- * @return {vec3} out
- */
- mat4.getTranslation = function (out, mat) {
- out[0] = mat[12];
- out[1] = mat[13];
- out[2] = mat[14];
-
- return out;
- };
-
- /**
- * Returns a quaternion representing the rotational component
- * of a transformation matrix. If a matrix is built with
- * fromRotationTranslation, the returned quaternion will be the
- * same as the quaternion originally supplied.
- * @param {quat} out Quaternion to receive the rotation component
- * @param {mat4} mat Matrix to be decomposed (input)
- * @return {quat} out
- */
- mat4.getRotation = function (out, mat) {
- // Algorithm taken from http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm
- var trace = mat[0] + mat[5] + mat[10];
- var S = 0;
-
- if (trace > 0) {
- S = Math.sqrt(trace + 1.0) * 2;
- out[3] = 0.25 * S;
- out[0] = (mat[6] - mat[9]) / S;
- out[1] = (mat[8] - mat[2]) / S;
- out[2] = (mat[1] - mat[4]) / S;
- } else if ((mat[0] > mat[5])&(mat[0] > mat[10])) {
- S = Math.sqrt(1.0 + mat[0] - mat[5] - mat[10]) * 2;
- out[3] = (mat[6] - mat[9]) / S;
- out[0] = 0.25 * S;
- out[1] = (mat[1] + mat[4]) / S;
- out[2] = (mat[8] + mat[2]) / S;
- } else if (mat[5] > mat[10]) {
- S = Math.sqrt(1.0 + mat[5] - mat[0] - mat[10]) * 2;
- out[3] = (mat[8] - mat[2]) / S;
- out[0] = (mat[1] + mat[4]) / S;
- out[1] = 0.25 * S;
- out[2] = (mat[6] + mat[9]) / S;
- } else {
- S = Math.sqrt(1.0 + mat[10] - mat[0] - mat[5]) * 2;
- out[3] = (mat[1] - mat[4]) / S;
- out[0] = (mat[8] + mat[2]) / S;
- out[1] = (mat[6] + mat[9]) / S;
- out[2] = 0.25 * S;
- }
-
- return out;
- };
-
- /**
- * Creates a matrix from a quaternion rotation, vector translation and vector scale
- * This is equivalent to (but much faster than):
- *
- * mat4.identity(dest);
- * mat4.translate(dest, vec);
- * var quatMat = mat4.create();
- * quat4.toMat4(quat, quatMat);
- * mat4.multiply(dest, quatMat);
- * mat4.scale(dest, scale)
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {quat4} q Rotation quaternion
- * @param {vec3} v Translation vector
- * @param {vec3} s Scaling vector
- * @returns {mat4} out
- */
- mat4.fromRotationTranslationScale = function (out, q, v, s) {
- // Quaternion math
- var x = q[0], y = q[1], z = q[2], w = q[3],
- x2 = x + x,
- y2 = y + y,
- z2 = z + z,
-
- xx = x * x2,
- xy = x * y2,
- xz = x * z2,
- yy = y * y2,
- yz = y * z2,
- zz = z * z2,
- wx = w * x2,
- wy = w * y2,
- wz = w * z2,
- sx = s[0],
- sy = s[1],
- sz = s[2];
-
- out[0] = (1 - (yy + zz)) * sx;
- out[1] = (xy + wz) * sx;
- out[2] = (xz - wy) * sx;
- out[3] = 0;
- out[4] = (xy - wz) * sy;
- out[5] = (1 - (xx + zz)) * sy;
- out[6] = (yz + wx) * sy;
- out[7] = 0;
- out[8] = (xz + wy) * sz;
- out[9] = (yz - wx) * sz;
- out[10] = (1 - (xx + yy)) * sz;
- out[11] = 0;
- out[12] = v[0];
- out[13] = v[1];
- out[14] = v[2];
- out[15] = 1;
-
- return out;
- };
-
- /**
- * Creates a matrix from a quaternion rotation, vector translation and vector scale, rotating and scaling around the given origin
- * This is equivalent to (but much faster than):
- *
- * mat4.identity(dest);
- * mat4.translate(dest, vec);
- * mat4.translate(dest, origin);
- * var quatMat = mat4.create();
- * quat4.toMat4(quat, quatMat);
- * mat4.multiply(dest, quatMat);
- * mat4.scale(dest, scale)
- * mat4.translate(dest, negativeOrigin);
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {quat4} q Rotation quaternion
- * @param {vec3} v Translation vector
- * @param {vec3} s Scaling vector
- * @param {vec3} o The origin vector around which to scale and rotate
- * @returns {mat4} out
- */
- mat4.fromRotationTranslationScaleOrigin = function (out, q, v, s, o) {
- // Quaternion math
- var x = q[0], y = q[1], z = q[2], w = q[3],
- x2 = x + x,
- y2 = y + y,
- z2 = z + z,
-
- xx = x * x2,
- xy = x * y2,
- xz = x * z2,
- yy = y * y2,
- yz = y * z2,
- zz = z * z2,
- wx = w * x2,
- wy = w * y2,
- wz = w * z2,
-
- sx = s[0],
- sy = s[1],
- sz = s[2],
-
- ox = o[0],
- oy = o[1],
- oz = o[2];
-
- out[0] = (1 - (yy + zz)) * sx;
- out[1] = (xy + wz) * sx;
- out[2] = (xz - wy) * sx;
- out[3] = 0;
- out[4] = (xy - wz) * sy;
- out[5] = (1 - (xx + zz)) * sy;
- out[6] = (yz + wx) * sy;
- out[7] = 0;
- out[8] = (xz + wy) * sz;
- out[9] = (yz - wx) * sz;
- out[10] = (1 - (xx + yy)) * sz;
- out[11] = 0;
- out[12] = v[0] + ox - (out[0] * ox + out[4] * oy + out[8] * oz);
- out[13] = v[1] + oy - (out[1] * ox + out[5] * oy + out[9] * oz);
- out[14] = v[2] + oz - (out[2] * ox + out[6] * oy + out[10] * oz);
- out[15] = 1;
-
- return out;
- };
-
- /**
- * Calculates a 4x4 matrix from the given quaternion
- *
- * @param {mat4} out mat4 receiving operation result
- * @param {quat} q Quaternion to create matrix from
- *
- * @returns {mat4} out
- */
- mat4.fromQuat = function (out, q) {
- var x = q[0], y = q[1], z = q[2], w = q[3],
- x2 = x + x,
- y2 = y + y,
- z2 = z + z,
-
- xx = x * x2,
- yx = y * x2,
- yy = y * y2,
- zx = z * x2,
- zy = z * y2,
- zz = z * z2,
- wx = w * x2,
- wy = w * y2,
- wz = w * z2;
-
- out[0] = 1 - yy - zz;
- out[1] = yx + wz;
- out[2] = zx - wy;
- out[3] = 0;
-
- out[4] = yx - wz;
- out[5] = 1 - xx - zz;
- out[6] = zy + wx;
- out[7] = 0;
-
- out[8] = zx + wy;
- out[9] = zy - wx;
- out[10] = 1 - xx - yy;
- out[11] = 0;
-
- out[12] = 0;
- out[13] = 0;
- out[14] = 0;
- out[15] = 1;
-
- return out;
- };
-
- /**
- * Generates a frustum matrix with the given bounds
- *
- * @param {mat4} out mat4 frustum matrix will be written into
- * @param {Number} left Left bound of the frustum
- * @param {Number} right Right bound of the frustum
- * @param {Number} bottom Bottom bound of the frustum
- * @param {Number} top Top bound of the frustum
- * @param {Number} near Near bound of the frustum
- * @param {Number} far Far bound of the frustum
- * @returns {mat4} out
- */
- mat4.frustum = function (out, left, right, bottom, top, near, far) {
- var rl = 1 / (right - left),
- tb = 1 / (top - bottom),
- nf = 1 / (near - far);
- out[0] = (near * 2) * rl;
- out[1] = 0;
- out[2] = 0;
- out[3] = 0;
- out[4] = 0;
- out[5] = (near * 2) * tb;
- out[6] = 0;
- out[7] = 0;
- out[8] = (right + left) * rl;
- out[9] = (top + bottom) * tb;
- out[10] = (far + near) * nf;
- out[11] = -1;
- out[12] = 0;
- out[13] = 0;
- out[14] = (far * near * 2) * nf;
- out[15] = 0;
- return out;
- };
-
- /**
- * Generates a perspective projection matrix with the given bounds
- *
- * @param {mat4} out mat4 frustum matrix will be written into
- * @param {number} fovy Vertical field of view in radians
- * @param {number} aspect Aspect ratio. typically viewport width/height
- * @param {number} near Near bound of the frustum
- * @param {number} far Far bound of the frustum
- * @returns {mat4} out
- */
- mat4.perspective = function (out, fovy, aspect, near, far) {
- var f = 1.0 / Math.tan(fovy / 2),
- nf = 1 / (near - far);
- out[0] = f / aspect;
- out[1] = 0;
- out[2] = 0;
- out[3] = 0;
- out[4] = 0;
- out[5] = f;
- out[6] = 0;
- out[7] = 0;
- out[8] = 0;
- out[9] = 0;
- out[10] = (far + near) * nf;
- out[11] = -1;
- out[12] = 0;
- out[13] = 0;
- out[14] = (2 * far * near) * nf;
- out[15] = 0;
- return out;
- };
-
- /**
- * Generates a perspective projection matrix with the given field of view.
- * This is primarily useful for generating projection matrices to be used
- * with the still experiemental WebVR API.
- *
- * @param {mat4} out mat4 frustum matrix will be written into
- * @param {Object} fov Object containing the following values: upDegrees, downDegrees, leftDegrees, rightDegrees
- * @param {number} near Near bound of the frustum
- * @param {number} far Far bound of the frustum
- * @returns {mat4} out
- */
- mat4.perspectiveFromFieldOfView = function (out, fov, near, far) {
- var upTan = Math.tan(fov.upDegrees * Math.PI/180.0),
- downTan = Math.tan(fov.downDegrees * Math.PI/180.0),
- leftTan = Math.tan(fov.leftDegrees * Math.PI/180.0),
- rightTan = Math.tan(fov.rightDegrees * Math.PI/180.0),
- xScale = 2.0 / (leftTan + rightTan),
- yScale = 2.0 / (upTan + downTan);
-
- out[0] = xScale;
- out[1] = 0.0;
- out[2] = 0.0;
- out[3] = 0.0;
- out[4] = 0.0;
- out[5] = yScale;
- out[6] = 0.0;
- out[7] = 0.0;
- out[8] = -((leftTan - rightTan) * xScale * 0.5);
- out[9] = ((upTan - downTan) * yScale * 0.5);
- out[10] = far / (near - far);
- out[11] = -1.0;
- out[12] = 0.0;
- out[13] = 0.0;
- out[14] = (far * near) / (near - far);
- out[15] = 0.0;
- return out;
- }
-
- /**
- * Generates a orthogonal projection matrix with the given bounds
- *
- * @param {mat4} out mat4 frustum matrix will be written into
- * @param {number} left Left bound of the frustum
- * @param {number} right Right bound of the frustum
- * @param {number} bottom Bottom bound of the frustum
- * @param {number} top Top bound of the frustum
- * @param {number} near Near bound of the frustum
- * @param {number} far Far bound of the frustum
- * @returns {mat4} out
- */
- mat4.ortho = function (out, left, right, bottom, top, near, far) {
- var lr = 1 / (left - right),
- bt = 1 / (bottom - top),
- nf = 1 / (near - far);
- out[0] = -2 * lr;
- out[1] = 0;
- out[2] = 0;
- out[3] = 0;
- out[4] = 0;
- out[5] = -2 * bt;
- out[6] = 0;
- out[7] = 0;
- out[8] = 0;
- out[9] = 0;
- out[10] = 2 * nf;
- out[11] = 0;
- out[12] = (left + right) * lr;
- out[13] = (top + bottom) * bt;
- out[14] = (far + near) * nf;
- out[15] = 1;
- return out;
- };
-
- /**
- * Generates a look-at matrix with the given eye position, focal point, and up axis
- *
- * @param {mat4} out mat4 frustum matrix will be written into
- * @param {vec3} eye Position of the viewer
- * @param {vec3} center Point the viewer is looking at
- * @param {vec3} up vec3 pointing up
- * @returns {mat4} out
- */
- mat4.lookAt = function (out, eye, center, up) {
- var x0, x1, x2, y0, y1, y2, z0, z1, z2, len,
- eyex = eye[0],
- eyey = eye[1],
- eyez = eye[2],
- upx = up[0],
- upy = up[1],
- upz = up[2],
- centerx = center[0],
- centery = center[1],
- centerz = center[2];
-
- if (Math.abs(eyex - centerx) < glMatrix.EPSILON &&
- Math.abs(eyey - centery) < glMatrix.EPSILON &&
- Math.abs(eyez - centerz) < glMatrix.EPSILON) {
- return mat4.identity(out);
- }
-
- z0 = eyex - centerx;
- z1 = eyey - centery;
- z2 = eyez - centerz;
-
- len = 1 / Math.sqrt(z0 * z0 + z1 * z1 + z2 * z2);
- z0 *= len;
- z1 *= len;
- z2 *= len;
-
- x0 = upy * z2 - upz * z1;
- x1 = upz * z0 - upx * z2;
- x2 = upx * z1 - upy * z0;
- len = Math.sqrt(x0 * x0 + x1 * x1 + x2 * x2);
- if (!len) {
- x0 = 0;
- x1 = 0;
- x2 = 0;
- } else {
- len = 1 / len;
- x0 *= len;
- x1 *= len;
- x2 *= len;
- }
-
- y0 = z1 * x2 - z2 * x1;
- y1 = z2 * x0 - z0 * x2;
- y2 = z0 * x1 - z1 * x0;
-
- len = Math.sqrt(y0 * y0 + y1 * y1 + y2 * y2);
- if (!len) {
- y0 = 0;
- y1 = 0;
- y2 = 0;
- } else {
- len = 1 / len;
- y0 *= len;
- y1 *= len;
- y2 *= len;
- }
-
- out[0] = x0;
- out[1] = y0;
- out[2] = z0;
- out[3] = 0;
- out[4] = x1;
- out[5] = y1;
- out[6] = z1;
- out[7] = 0;
- out[8] = x2;
- out[9] = y2;
- out[10] = z2;
- out[11] = 0;
- out[12] = -(x0 * eyex + x1 * eyey + x2 * eyez);
- out[13] = -(y0 * eyex + y1 * eyey + y2 * eyez);
- out[14] = -(z0 * eyex + z1 * eyey + z2 * eyez);
- out[15] = 1;
-
- return out;
- };
-
- /**
- * Returns a string representation of a mat4
- *
- * @param {mat4} a matrix to represent as a string
- * @returns {String} string representation of the matrix
- */
- mat4.str = function (a) {
- return 'mat4(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ', ' +
- a[4] + ', ' + a[5] + ', ' + a[6] + ', ' + a[7] + ', ' +
- a[8] + ', ' + a[9] + ', ' + a[10] + ', ' + a[11] + ', ' +
- a[12] + ', ' + a[13] + ', ' + a[14] + ', ' + a[15] + ')';
- };
-
- /**
- * Returns Frobenius norm of a mat4
- *
- * @param {mat4} a the matrix to calculate Frobenius norm of
- * @returns {Number} Frobenius norm
- */
- mat4.frob = function (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) + Math.pow(a[9], 2) + Math.pow(a[10], 2) + Math.pow(a[11], 2) + Math.pow(a[12], 2) + Math.pow(a[13], 2) + Math.pow(a[14], 2) + Math.pow(a[15], 2) ))
- };
-
- /**
- * Adds two mat4's
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the first operand
- * @param {mat4} b the second operand
- * @returns {mat4} out
- */
- mat4.add = function(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];
- out[9] = a[9] + b[9];
- out[10] = a[10] + b[10];
- out[11] = a[11] + b[11];
- out[12] = a[12] + b[12];
- out[13] = a[13] + b[13];
- out[14] = a[14] + b[14];
- out[15] = a[15] + b[15];
- return out;
- };
-
- /**
- * Subtracts matrix b from matrix a
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the first operand
- * @param {mat4} b the second operand
- * @returns {mat4} out
- */
- mat4.subtract = function(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];
- out[9] = a[9] - b[9];
- out[10] = a[10] - b[10];
- out[11] = a[11] - b[11];
- out[12] = a[12] - b[12];
- out[13] = a[13] - b[13];
- out[14] = a[14] - b[14];
- out[15] = a[15] - b[15];
- return out;
- };
-
- /**
- * Alias for {@link mat4.subtract}
- * @function
- */
- mat4.sub = mat4.subtract;
-
- /**
- * Multiply each element of the matrix by a scalar.
- *
- * @param {mat4} out the receiving matrix
- * @param {mat4} a the matrix to scale
- * @param {Number} b amount to scale the matrix's elements by
- * @returns {mat4} out
- */
- mat4.multiplyScalar = function(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;
- out[9] = a[9] * b;
- out[10] = a[10] * b;
- out[11] = a[11] * b;
- out[12] = a[12] * b;
- out[13] = a[13] * b;
- out[14] = a[14] * b;
- out[15] = a[15] * b;
- return out;
- };
-
- /**
- * Adds two mat4's after multiplying each element of the second operand by a scalar value.
- *
- * @param {mat4} out the receiving vector
- * @param {mat4} a the first operand
- * @param {mat4} b the second operand
- * @param {Number} scale the amount to scale b's elements by before adding
- * @returns {mat4} out
- */
- mat4.multiplyScalarAndAdd = function(out, a, b, scale) {
- out[0] = a[0] + (b[0] * scale);
- out[1] = a[1] + (b[1] * scale);
- 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);
- out[9] = a[9] + (b[9] * scale);
- out[10] = a[10] + (b[10] * scale);
- out[11] = a[11] + (b[11] * scale);
- out[12] = a[12] + (b[12] * scale);
- out[13] = a[13] + (b[13] * scale);
- out[14] = a[14] + (b[14] * scale);
- out[15] = a[15] + (b[15] * scale);
- return out;
- };
-
- /**
- * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)
- *
- * @param {mat4} a The first matrix.
- * @param {mat4} b The second matrix.
- * @returns {Boolean} True if the matrices are equal, false otherwise.
- */
- mat4.exactEquals = function (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] && a[9] === b[9] && a[10] === b[10] && a[11] === b[11] &&
- a[12] === b[12] && a[13] === b[13] && a[14] === b[14] && a[15] === b[15];
- };
-
- /**
- * Returns whether or not the matrices have approximately the same elements in the same position.
- *
- * @param {mat4} a The first matrix.
- * @param {mat4} b The second matrix.
- * @returns {Boolean} True if the matrices are equal, false otherwise.
- */
- mat4.equals = function (a, b) {
- var 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], a9 = a[9], a10 = a[10], a11 = a[11],
- a12 = a[12], a13 = a[13], a14 = a[14], a15 = a[15];
-
- var 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], b9 = b[9], b10 = b[10], b11 = b[11],
- b12 = b[12], b13 = b[13], b14 = b[14], b15 = b[15];
-
- 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)) &&
- Math.abs(a9 - b9) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a9), Math.abs(b9)) &&
- Math.abs(a10 - b10) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a10), Math.abs(b10)) &&
- Math.abs(a11 - b11) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a11), Math.abs(b11)) &&
- Math.abs(a12 - b12) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a12), Math.abs(b12)) &&
- Math.abs(a13 - b13) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a13), Math.abs(b13)) &&
- Math.abs(a14 - b14) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a14), Math.abs(b14)) &&
- Math.abs(a15 - b15) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a15), Math.abs(b15)));
- };
-
-
-
- module.exports = mat4;
-
-
-/***/ },
-/* 6 */
-/***/ function(module, exports, __webpack_require__) {
-
- /* 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. */
-
- var glMatrix = __webpack_require__(1);
- var mat3 = __webpack_require__(4);
- var vec3 = __webpack_require__(7);
- var vec4 = __webpack_require__(8);
-
- /**
- * @class Quaternion
- * @name quat
- */
- var quat = {};
-
- /**
- * Creates a new identity quat
- *
- * @returns {quat} a new quaternion
- */
- quat.create = function() {
- var out = new glMatrix.ARRAY_TYPE(4);
- out[0] = 0;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- return out;
- };
-
- /**
- * Sets a quaternion to represent the shortest rotation from one
- * vector to another.
- *
- * Both vectors are assumed to be unit length.
- *
- * @param {quat} out the receiving quaternion.
- * @param {vec3} a the initial vector
- * @param {vec3} b the destination vector
- * @returns {quat} out
- */
- quat.rotationTo = (function() {
- var tmpvec3 = vec3.create();
- var xUnitVec3 = vec3.fromValues(1,0,0);
- var yUnitVec3 = vec3.fromValues(0,1,0);
-
- return function(out, a, b) {
- var dot = vec3.dot(a, b);
- if (dot < -0.999999) {
- vec3.cross(tmpvec3, xUnitVec3, a);
- if (vec3.length(tmpvec3) < 0.000001)
- vec3.cross(tmpvec3, yUnitVec3, a);
- vec3.normalize(tmpvec3, tmpvec3);
- quat.setAxisAngle(out, tmpvec3, Math.PI);
- return out;
- } else if (dot > 0.999999) {
- out[0] = 0;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- return out;
- } else {
- vec3.cross(tmpvec3, a, b);
- out[0] = tmpvec3[0];
- out[1] = tmpvec3[1];
- out[2] = tmpvec3[2];
- out[3] = 1 + dot;
- return quat.normalize(out, out);
- }
- };
- })();
-
- /**
- * Sets the specified quaternion with values corresponding to the given
- * axes. Each axis is a vec3 and is expected to be unit length and
- * perpendicular to all other specified axes.
- *
- * @param {vec3} view the vector representing the viewing direction
- * @param {vec3} right the vector representing the local "right" direction
- * @param {vec3} up the vector representing the local "up" direction
- * @returns {quat} out
- */
- quat.setAxes = (function() {
- var matr = mat3.create();
-
- return function(out, view, right, up) {
- matr[0] = right[0];
- matr[3] = right[1];
- matr[6] = right[2];
-
- matr[1] = up[0];
- matr[4] = up[1];
- matr[7] = up[2];
-
- matr[2] = -view[0];
- matr[5] = -view[1];
- matr[8] = -view[2];
-
- return quat.normalize(out, quat.fromMat3(out, matr));
- };
- })();
-
- /**
- * Creates a new quat initialized with values from an existing quaternion
- *
- * @param {quat} a quaternion to clone
- * @returns {quat} a new quaternion
- * @function
- */
- quat.clone = vec4.clone;
-
- /**
- * Creates a new quat initialized with the given values
- *
- * @param {Number} x X component
- * @param {Number} y Y component
- * @param {Number} z Z component
- * @param {Number} w W component
- * @returns {quat} a new quaternion
- * @function
- */
- quat.fromValues = vec4.fromValues;
-
- /**
- * Copy the values from one quat to another
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a the source quaternion
- * @returns {quat} out
- * @function
- */
- quat.copy = vec4.copy;
-
- /**
- * Set the components of a quat to the given values
- *
- * @param {quat} out the receiving quaternion
- * @param {Number} x X component
- * @param {Number} y Y component
- * @param {Number} z Z component
- * @param {Number} w W component
- * @returns {quat} out
- * @function
- */
- quat.set = vec4.set;
-
- /**
- * Set a quat to the identity quaternion
- *
- * @param {quat} out the receiving quaternion
- * @returns {quat} out
- */
- quat.identity = function(out) {
- out[0] = 0;
- out[1] = 0;
- out[2] = 0;
- out[3] = 1;
- return out;
- };
-
- /**
- * Sets a quat from the given angle and rotation axis,
- * then returns it.
- *
- * @param {quat} out the receiving quaternion
- * @param {vec3} axis the axis around which to rotate
- * @param {Number} rad the angle in radians
- * @returns {quat} out
- **/
- quat.setAxisAngle = function(out, axis, rad) {
- rad = rad * 0.5;
- var s = Math.sin(rad);
- out[0] = s * axis[0];
- out[1] = s * axis[1];
- out[2] = s * axis[2];
- out[3] = Math.cos(rad);
- return out;
- };
-
- /**
- * Gets the rotation axis and angle for a given
- * quaternion. If a quaternion is created with
- * setAxisAngle, this method will return the same
- * values as providied in the original parameter list
- * OR functionally equivalent values.
- * Example: The quaternion formed by axis [0, 0, 1] and
- * angle -90 is the same as the quaternion formed by
- * [0, 0, 1] and 270. This method favors the latter.
- * @param {vec3} out_axis Vector receiving the axis of rotation
- * @param {quat} q Quaternion to be decomposed
- * @return {Number} Angle, in radians, of the rotation
- */
- quat.getAxisAngle = function(out_axis, q) {
- var rad = Math.acos(q[3]) * 2.0;
- var s = Math.sin(rad / 2.0);
- if (s != 0.0) {
- out_axis[0] = q[0] / s;
- out_axis[1] = q[1] / s;
- out_axis[2] = q[2] / s;
- } else {
- // If s is zero, return any axis (no rotation - axis does not matter)
- out_axis[0] = 1;
- out_axis[1] = 0;
- out_axis[2] = 0;
- }
- return rad;
- };
-
- /**
- * Adds two quat's
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a the first operand
- * @param {quat} b the second operand
- * @returns {quat} out
- * @function
- */
- quat.add = vec4.add;
-
- /**
- * Multiplies two quat's
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a the first operand
- * @param {quat} b the second operand
- * @returns {quat} out
- */
- quat.multiply = function(out, a, b) {
- var ax = a[0], ay = a[1], az = a[2], aw = a[3],
- bx = b[0], by = b[1], bz = b[2], bw = b[3];
-
- out[0] = ax * bw + aw * bx + ay * bz - az * by;
- out[1] = ay * bw + aw * by + az * bx - ax * bz;
- out[2] = az * bw + aw * bz + ax * by - ay * bx;
- out[3] = aw * bw - ax * bx - ay * by - az * bz;
- return out;
- };
-
- /**
- * Alias for {@link quat.multiply}
- * @function
- */
- quat.mul = quat.multiply;
-
- /**
- * Scales a quat by a scalar number
- *
- * @param {quat} out the receiving vector
- * @param {quat} a the vector to scale
- * @param {Number} b amount to scale the vector by
- * @returns {quat} out
- * @function
- */
- quat.scale = vec4.scale;
-
- /**
- * Rotates a quaternion by the given angle about the X axis
- *
- * @param {quat} out quat receiving operation result
- * @param {quat} a quat to rotate
- * @param {number} rad angle (in radians) to rotate
- * @returns {quat} out
- */
- quat.rotateX = function (out, a, rad) {
- rad *= 0.5;
-
- var ax = a[0], ay = a[1], az = a[2], aw = a[3],
- bx = Math.sin(rad), bw = Math.cos(rad);
-
- out[0] = ax * bw + aw * bx;
- out[1] = ay * bw + az * bx;
- out[2] = az * bw - ay * bx;
- out[3] = aw * bw - ax * bx;
- return out;
- };
-
- /**
- * Rotates a quaternion by the given angle about the Y axis
- *
- * @param {quat} out quat receiving operation result
- * @param {quat} a quat to rotate
- * @param {number} rad angle (in radians) to rotate
- * @returns {quat} out
- */
- quat.rotateY = function (out, a, rad) {
- rad *= 0.5;
-
- var ax = a[0], ay = a[1], az = a[2], aw = a[3],
- by = Math.sin(rad), bw = Math.cos(rad);
-
- out[0] = ax * bw - az * by;
- out[1] = ay * bw + aw * by;
- out[2] = az * bw + ax * by;
- out[3] = aw * bw - ay * by;
- return out;
- };
-
- /**
- * Rotates a quaternion by the given angle about the Z axis
- *
- * @param {quat} out quat receiving operation result
- * @param {quat} a quat to rotate
- * @param {number} rad angle (in radians) to rotate
- * @returns {quat} out
- */
- quat.rotateZ = function (out, a, rad) {
- rad *= 0.5;
-
- var ax = a[0], ay = a[1], az = a[2], aw = a[3],
- bz = Math.sin(rad), bw = Math.cos(rad);
-
- out[0] = ax * bw + ay * bz;
- out[1] = ay * bw - ax * bz;
- out[2] = az * bw + aw * bz;
- out[3] = aw * bw - az * bz;
- return out;
- };
-
- /**
- * Calculates the W component of a quat from the X, Y, and Z components.
- * Assumes that quaternion is 1 unit in length.
- * Any existing W component will be ignored.
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a quat to calculate W component of
- * @returns {quat} out
- */
- quat.calculateW = function (out, a) {
- var x = a[0], y = a[1], z = a[2];
-
- out[0] = x;
- out[1] = y;
- out[2] = z;
- out[3] = Math.sqrt(Math.abs(1.0 - x * x - y * y - z * z));
- return out;
- };
-
- /**
- * Calculates the dot product of two quat's
- *
- * @param {quat} a the first operand
- * @param {quat} b the second operand
- * @returns {Number} dot product of a and b
- * @function
- */
- quat.dot = vec4.dot;
-
- /**
- * Performs a linear interpolation between two quat's
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a the first operand
- * @param {quat} b the second operand
- * @param {Number} t interpolation amount between the two inputs
- * @returns {quat} out
- * @function
- */
- quat.lerp = vec4.lerp;
-
- /**
- * Performs a spherical linear interpolation between two quat
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a the first operand
- * @param {quat} b the second operand
- * @param {Number} t interpolation amount between the two inputs
- * @returns {quat} out
- */
- quat.slerp = function (out, a, b, t) {
- // benchmarks:
- // http://jsperf.com/quaternion-slerp-implementations
-
- var ax = a[0], ay = a[1], az = a[2], aw = a[3],
- bx = b[0], by = b[1], bz = b[2], bw = b[3];
-
- var omega, cosom, sinom, scale0, scale1;
-
- // calc cosine
- cosom = ax * bx + ay * by + az * bz + aw * bw;
- // adjust signs (if necessary)
- if ( cosom < 0.0 ) {
- cosom = -cosom;
- bx = - bx;
- by = - by;
- bz = - bz;
- bw = - bw;
- }
- // calculate coefficients
- if ( (1.0 - cosom) > 0.000001 ) {
- // standard case (slerp)
- omega = Math.acos(cosom);
- sinom = Math.sin(omega);
- scale0 = Math.sin((1.0 - t) * omega) / sinom;
- scale1 = Math.sin(t * omega) / sinom;
- } else {
- // "from" and "to" quaternions are very close
- // ... so we can do a linear interpolation
- scale0 = 1.0 - t;
- scale1 = t;
- }
- // calculate final values
- out[0] = scale0 * ax + scale1 * bx;
- out[1] = scale0 * ay + scale1 * by;
- out[2] = scale0 * az + scale1 * bz;
- out[3] = scale0 * aw + scale1 * bw;
-
- return out;
- };
-
- /**
- * Performs a spherical linear interpolation with two control points
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a the first operand
- * @param {quat} b the second operand
- * @param {quat} c the third operand
- * @param {quat} d the fourth operand
- * @param {Number} t interpolation amount
- * @returns {quat} out
- */
- quat.sqlerp = (function () {
- var temp1 = quat.create();
- var temp2 = quat.create();
-
- return function (out, a, b, c, d, t) {
- quat.slerp(temp1, a, d, t);
- quat.slerp(temp2, b, c, t);
- quat.slerp(out, temp1, temp2, 2 * t * (1 - t));
-
- return out;
- };
- }());
-
- /**
- * Calculates the inverse of a quat
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a quat to calculate inverse of
- * @returns {quat} out
- */
- quat.invert = function(out, a) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3],
- dot = a0*a0 + a1*a1 + a2*a2 + a3*a3,
- invDot = dot ? 1.0/dot : 0;
-
- // TODO: Would be faster to return [0,0,0,0] immediately if dot == 0
-
- out[0] = -a0*invDot;
- out[1] = -a1*invDot;
- out[2] = -a2*invDot;
- out[3] = a3*invDot;
- return out;
- };
-
- /**
- * Calculates the conjugate of a quat
- * If the quaternion is normalized, this function is faster than quat.inverse and produces the same result.
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a quat to calculate conjugate of
- * @returns {quat} out
- */
- quat.conjugate = function (out, a) {
- out[0] = -a[0];
- out[1] = -a[1];
- out[2] = -a[2];
- out[3] = a[3];
- return out;
- };
-
- /**
- * Calculates the length of a quat
- *
- * @param {quat} a vector to calculate length of
- * @returns {Number} length of a
- * @function
- */
- quat.length = vec4.length;
-
- /**
- * Alias for {@link quat.length}
- * @function
- */
- quat.len = quat.length;
-
- /**
- * Calculates the squared length of a quat
- *
- * @param {quat} a vector to calculate squared length of
- * @returns {Number} squared length of a
- * @function
- */
- quat.squaredLength = vec4.squaredLength;
-
- /**
- * Alias for {@link quat.squaredLength}
- * @function
- */
- quat.sqrLen = quat.squaredLength;
-
- /**
- * Normalize a quat
- *
- * @param {quat} out the receiving quaternion
- * @param {quat} a quaternion to normalize
- * @returns {quat} out
- * @function
- */
- quat.normalize = vec4.normalize;
-
- /**
- * Creates a quaternion from the given 3x3 rotation matrix.
- *
- * NOTE: The resultant quaternion is not normalized, so you should be sure
- * to renormalize the quaternion yourself where necessary.
- *
- * @param {quat} out the receiving quaternion
- * @param {mat3} m rotation matrix
- * @returns {quat} out
- * @function
- */
- quat.fromMat3 = function(out, m) {
- // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes
- // article "Quaternion Calculus and Fast Animation".
- var fTrace = m[0] + m[4] + m[8];
- var fRoot;
-
- if ( fTrace > 0.0 ) {
- // |w| > 1/2, may as well choose w > 1/2
- fRoot = Math.sqrt(fTrace + 1.0); // 2w
- out[3] = 0.5 * fRoot;
- fRoot = 0.5/fRoot; // 1/(4w)
- out[0] = (m[5]-m[7])*fRoot;
- out[1] = (m[6]-m[2])*fRoot;
- out[2] = (m[1]-m[3])*fRoot;
- } else {
- // |w| <= 1/2
- var i = 0;
- if ( m[4] > m[0] )
- i = 1;
- if ( m[8] > m[i*3+i] )
- i = 2;
- var j = (i+1)%3;
- var k = (i+2)%3;
-
- fRoot = Math.sqrt(m[i*3+i]-m[j*3+j]-m[k*3+k] + 1.0);
- out[i] = 0.5 * fRoot;
- fRoot = 0.5 / fRoot;
- out[3] = (m[j*3+k] - m[k*3+j]) * fRoot;
- out[j] = (m[j*3+i] + m[i*3+j]) * fRoot;
- out[k] = (m[k*3+i] + m[i*3+k]) * fRoot;
- }
-
- return out;
- };
-
- /**
- * Returns a string representation of a quatenion
- *
- * @param {quat} a vector to represent as a string
- * @returns {String} string representation of the vector
- */
- quat.str = function (a) {
- return 'quat(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ')';
- };
-
- /**
- * Returns whether or not the quaternions have exactly the same elements in the same position (when compared with ===)
- *
- * @param {quat} a The first quaternion.
- * @param {quat} b The second quaternion.
- * @returns {Boolean} True if the vectors are equal, false otherwise.
- */
- quat.exactEquals = vec4.exactEquals;
-
- /**
- * Returns whether or not the quaternions have approximately the same elements in the same position.
- *
- * @param {quat} a The first vector.
- * @param {quat} b The second vector.
- * @returns {Boolean} True if the vectors are equal, false otherwise.
- */
- quat.equals = vec4.equals;
-
- module.exports = quat;
-
-
-/***/ },
-/* 7 */
-/***/ function(module, exports, __webpack_require__) {
-
- /* 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. */
-
- var glMatrix = __webpack_require__(1);
-
- /**
- * @class 3 Dimensional Vector
- * @name vec3
- */
- var vec3 = {};
-
- /**
- * Creates a new, empty vec3
- *
- * @returns {vec3} a new 3D vector
- */
- vec3.create = function() {
- var out = new glMatrix.ARRAY_TYPE(3);
- out[0] = 0;
- out[1] = 0;
- out[2] = 0;
- return out;
- };
-
- /**
- * Creates a new vec3 initialized with values from an existing vector
- *
- * @param {vec3} a vector to clone
- * @returns {vec3} a new 3D vector
- */
- vec3.clone = function(a) {
- var out = new glMatrix.ARRAY_TYPE(3);
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- return out;
- };
-
- /**
- * Creates a new vec3 initialized with the given values
- *
- * @param {Number} x X component
- * @param {Number} y Y component
- * @param {Number} z Z component
- * @returns {vec3} a new 3D vector
- */
- vec3.fromValues = function(x, y, z) {
- var out = new glMatrix.ARRAY_TYPE(3);
- out[0] = x;
- out[1] = y;
- out[2] = z;
- return out;
- };
-
- /**
- * Copy the values from one vec3 to another
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the source vector
- * @returns {vec3} out
- */
- vec3.copy = function(out, a) {
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- return out;
- };
-
- /**
- * Set the components of a vec3 to the given values
- *
- * @param {vec3} out the receiving vector
- * @param {Number} x X component
- * @param {Number} y Y component
- * @param {Number} z Z component
- * @returns {vec3} out
- */
- vec3.set = function(out, x, y, z) {
- out[0] = x;
- out[1] = y;
- out[2] = z;
- return out;
- };
-
- /**
- * Adds two vec3's
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {vec3} out
- */
- vec3.add = function(out, a, b) {
- out[0] = a[0] + b[0];
- out[1] = a[1] + b[1];
- out[2] = a[2] + b[2];
- return out;
- };
-
- /**
- * Subtracts vector b from vector a
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {vec3} out
- */
- vec3.subtract = function(out, a, b) {
- out[0] = a[0] - b[0];
- out[1] = a[1] - b[1];
- out[2] = a[2] - b[2];
- return out;
- };
-
- /**
- * Alias for {@link vec3.subtract}
- * @function
- */
- vec3.sub = vec3.subtract;
-
- /**
- * Multiplies two vec3's
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {vec3} out
- */
- vec3.multiply = function(out, a, b) {
- out[0] = a[0] * b[0];
- out[1] = a[1] * b[1];
- out[2] = a[2] * b[2];
- return out;
- };
-
- /**
- * Alias for {@link vec3.multiply}
- * @function
- */
- vec3.mul = vec3.multiply;
-
- /**
- * Divides two vec3's
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {vec3} out
- */
- vec3.divide = function(out, a, b) {
- out[0] = a[0] / b[0];
- out[1] = a[1] / b[1];
- out[2] = a[2] / b[2];
- return out;
- };
-
- /**
- * Alias for {@link vec3.divide}
- * @function
- */
- vec3.div = vec3.divide;
-
- /**
- * Math.ceil the components of a vec3
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a vector to ceil
- * @returns {vec3} out
- */
- vec3.ceil = function (out, a) {
- out[0] = Math.ceil(a[0]);
- out[1] = Math.ceil(a[1]);
- out[2] = Math.ceil(a[2]);
- return out;
- };
-
- /**
- * Math.floor the components of a vec3
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a vector to floor
- * @returns {vec3} out
- */
- vec3.floor = function (out, a) {
- out[0] = Math.floor(a[0]);
- out[1] = Math.floor(a[1]);
- out[2] = Math.floor(a[2]);
- return out;
- };
-
- /**
- * Returns the minimum of two vec3's
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {vec3} out
- */
- vec3.min = function(out, a, b) {
- out[0] = Math.min(a[0], b[0]);
- out[1] = Math.min(a[1], b[1]);
- out[2] = Math.min(a[2], b[2]);
- return out;
- };
-
- /**
- * Returns the maximum of two vec3's
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {vec3} out
- */
- vec3.max = function(out, a, b) {
- out[0] = Math.max(a[0], b[0]);
- out[1] = Math.max(a[1], b[1]);
- out[2] = Math.max(a[2], b[2]);
- return out;
- };
-
- /**
- * Math.round the components of a vec3
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a vector to round
- * @returns {vec3} out
- */
- vec3.round = function (out, a) {
- out[0] = Math.round(a[0]);
- out[1] = Math.round(a[1]);
- out[2] = Math.round(a[2]);
- return out;
- };
-
- /**
- * Scales a vec3 by a scalar number
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the vector to scale
- * @param {Number} b amount to scale the vector by
- * @returns {vec3} out
- */
- vec3.scale = function(out, a, b) {
- out[0] = a[0] * b;
- out[1] = a[1] * b;
- out[2] = a[2] * b;
- return out;
- };
-
- /**
- * Adds two vec3's after scaling the second operand by a scalar value
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @param {Number} scale the amount to scale b by before adding
- * @returns {vec3} out
- */
- vec3.scaleAndAdd = function(out, a, b, scale) {
- out[0] = a[0] + (b[0] * scale);
- out[1] = a[1] + (b[1] * scale);
- out[2] = a[2] + (b[2] * scale);
- return out;
- };
-
- /**
- * Calculates the euclidian distance between two vec3's
- *
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {Number} distance between a and b
- */
- vec3.distance = function(a, b) {
- var x = b[0] - a[0],
- y = b[1] - a[1],
- z = b[2] - a[2];
- return Math.sqrt(x*x + y*y + z*z);
- };
-
- /**
- * Alias for {@link vec3.distance}
- * @function
- */
- vec3.dist = vec3.distance;
-
- /**
- * Calculates the squared euclidian distance between two vec3's
- *
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {Number} squared distance between a and b
- */
- vec3.squaredDistance = function(a, b) {
- var x = b[0] - a[0],
- y = b[1] - a[1],
- z = b[2] - a[2];
- return x*x + y*y + z*z;
- };
-
- /**
- * Alias for {@link vec3.squaredDistance}
- * @function
- */
- vec3.sqrDist = vec3.squaredDistance;
-
- /**
- * Calculates the length of a vec3
- *
- * @param {vec3} a vector to calculate length of
- * @returns {Number} length of a
- */
- vec3.length = function (a) {
- var x = a[0],
- y = a[1],
- z = a[2];
- return Math.sqrt(x*x + y*y + z*z);
- };
-
- /**
- * Alias for {@link vec3.length}
- * @function
- */
- vec3.len = vec3.length;
-
- /**
- * Calculates the squared length of a vec3
- *
- * @param {vec3} a vector to calculate squared length of
- * @returns {Number} squared length of a
- */
- vec3.squaredLength = function (a) {
- var x = a[0],
- y = a[1],
- z = a[2];
- return x*x + y*y + z*z;
- };
-
- /**
- * Alias for {@link vec3.squaredLength}
- * @function
- */
- vec3.sqrLen = vec3.squaredLength;
-
- /**
- * Negates the components of a vec3
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a vector to negate
- * @returns {vec3} out
- */
- vec3.negate = function(out, a) {
- out[0] = -a[0];
- out[1] = -a[1];
- out[2] = -a[2];
- return out;
- };
-
- /**
- * Returns the inverse of the components of a vec3
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a vector to invert
- * @returns {vec3} out
- */
- vec3.inverse = function(out, a) {
- out[0] = 1.0 / a[0];
- out[1] = 1.0 / a[1];
- out[2] = 1.0 / a[2];
- return out;
- };
-
- /**
- * Normalize a vec3
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a vector to normalize
- * @returns {vec3} out
- */
- vec3.normalize = function(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;
- };
-
- /**
- * Calculates the dot product of two vec3's
- *
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {Number} dot product of a and b
- */
- vec3.dot = function (a, b) {
- return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
- };
-
- /**
- * Computes the cross product of two vec3's
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @returns {vec3} out
- */
- vec3.cross = function(out, a, b) {
- var ax = a[0], ay = a[1], az = a[2],
- bx = b[0], by = b[1], bz = b[2];
-
- out[0] = ay * bz - az * by;
- out[1] = az * bx - ax * bz;
- out[2] = ax * by - ay * bx;
- return out;
- };
-
- /**
- * Performs a linear interpolation between two vec3's
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @param {Number} t interpolation amount between the two inputs
- * @returns {vec3} out
- */
- vec3.lerp = function (out, a, b, t) {
- var ax = a[0],
- ay = a[1],
- az = a[2];
- out[0] = ax + t * (b[0] - ax);
- out[1] = ay + t * (b[1] - ay);
- out[2] = az + t * (b[2] - az);
- return out;
- };
-
- /**
- * Performs a hermite interpolation with two control points
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @param {vec3} c the third operand
- * @param {vec3} d the fourth operand
- * @param {Number} t interpolation amount between the two inputs
- * @returns {vec3} out
- */
- vec3.hermite = function (out, a, b, c, d, t) {
- var factorTimes2 = t * t,
- factor1 = factorTimes2 * (2 * t - 3) + 1,
- factor2 = factorTimes2 * (t - 2) + t,
- factor3 = factorTimes2 * (t - 1),
- factor4 = factorTimes2 * (3 - 2 * t);
-
- out[0] = a[0] * factor1 + b[0] * factor2 + c[0] * factor3 + d[0] * factor4;
- out[1] = a[1] * factor1 + b[1] * factor2 + c[1] * factor3 + d[1] * factor4;
- out[2] = a[2] * factor1 + b[2] * factor2 + c[2] * factor3 + d[2] * factor4;
-
- return out;
- };
-
- /**
- * Performs a bezier interpolation with two control points
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the first operand
- * @param {vec3} b the second operand
- * @param {vec3} c the third operand
- * @param {vec3} d the fourth operand
- * @param {Number} t interpolation amount between the two inputs
- * @returns {vec3} out
- */
- vec3.bezier = function (out, a, b, c, d, t) {
- var inverseFactor = 1 - t,
- inverseFactorTimesTwo = inverseFactor * inverseFactor,
- factorTimes2 = t * t,
- factor1 = inverseFactorTimesTwo * inverseFactor,
- factor2 = 3 * t * inverseFactorTimesTwo,
- factor3 = 3 * factorTimes2 * inverseFactor,
- factor4 = factorTimes2 * t;
-
- out[0] = a[0] * factor1 + b[0] * factor2 + c[0] * factor3 + d[0] * factor4;
- out[1] = a[1] * factor1 + b[1] * factor2 + c[1] * factor3 + d[1] * factor4;
- out[2] = a[2] * factor1 + b[2] * factor2 + c[2] * factor3 + d[2] * factor4;
-
- return out;
- };
-
- /**
- * Generates a random vector with the given scale
- *
- * @param {vec3} out the receiving vector
- * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
- * @returns {vec3} out
- */
- vec3.random = function (out, scale) {
- scale = scale || 1.0;
-
- var r = glMatrix.RANDOM() * 2.0 * Math.PI;
- var z = (glMatrix.RANDOM() * 2.0) - 1.0;
- var zScale = Math.sqrt(1.0-z*z) * scale;
-
- out[0] = Math.cos(r) * zScale;
- out[1] = Math.sin(r) * zScale;
- out[2] = z * scale;
- return out;
- };
-
- /**
- * Transforms the vec3 with a mat4.
- * 4th vector component is implicitly '1'
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the vector to transform
- * @param {mat4} m matrix to transform with
- * @returns {vec3} out
- */
- vec3.transformMat4 = function(out, a, m) {
- var x = a[0], y = a[1], z = a[2],
- w = m[3] * x + m[7] * y + m[11] * z + m[15];
- w = w || 1.0;
- out[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;
- out[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;
- out[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;
- return out;
- };
-
- /**
- * Transforms the vec3 with a mat3.
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the vector to transform
- * @param {mat4} m the 3x3 matrix to transform with
- * @returns {vec3} out
- */
- vec3.transformMat3 = function(out, a, m) {
- var x = a[0], y = a[1], z = a[2];
- out[0] = x * m[0] + y * m[3] + z * m[6];
- out[1] = x * m[1] + y * m[4] + z * m[7];
- out[2] = x * m[2] + y * m[5] + z * m[8];
- return out;
- };
-
- /**
- * Transforms the vec3 with a quat
- *
- * @param {vec3} out the receiving vector
- * @param {vec3} a the vector to transform
- * @param {quat} q quaternion to transform with
- * @returns {vec3} out
- */
- vec3.transformQuat = function(out, a, q) {
- // benchmarks: http://jsperf.com/quaternion-transform-vec3-implementations
-
- var x = a[0], y = a[1], z = a[2],
- qx = q[0], qy = q[1], qz = q[2], qw = q[3],
-
- // calculate quat * vec
- ix = qw * x + qy * z - qz * y,
- iy = qw * y + qz * x - qx * z,
- iz = qw * z + qx * y - qy * x,
- iw = -qx * x - qy * y - qz * z;
-
- // calculate result * inverse quat
- out[0] = ix * qw + iw * -qx + iy * -qz - iz * -qy;
- out[1] = iy * qw + iw * -qy + iz * -qx - ix * -qz;
- out[2] = iz * qw + iw * -qz + ix * -qy - iy * -qx;
- return out;
- };
-
- /**
- * Rotate a 3D vector around the x-axis
- * @param {vec3} out The receiving vec3
- * @param {vec3} a The vec3 point to rotate
- * @param {vec3} b The origin of the rotation
- * @param {Number} c The angle of rotation
- * @returns {vec3} out
- */
- vec3.rotateX = function(out, a, b, c){
- var p = [], r=[];
- //Translate point to the origin
- p[0] = a[0] - b[0];
- p[1] = a[1] - b[1];
- p[2] = a[2] - b[2];
-
- //perform rotation
- r[0] = p[0];
- r[1] = p[1]*Math.cos(c) - p[2]*Math.sin(c);
- r[2] = p[1]*Math.sin(c) + p[2]*Math.cos(c);
-
- //translate to correct position
- out[0] = r[0] + b[0];
- out[1] = r[1] + b[1];
- out[2] = r[2] + b[2];
-
- return out;
- };
-
- /**
- * Rotate a 3D vector around the y-axis
- * @param {vec3} out The receiving vec3
- * @param {vec3} a The vec3 point to rotate
- * @param {vec3} b The origin of the rotation
- * @param {Number} c The angle of rotation
- * @returns {vec3} out
- */
- vec3.rotateY = function(out, a, b, c){
- var p = [], r=[];
- //Translate point to the origin
- p[0] = a[0] - b[0];
- p[1] = a[1] - b[1];
- p[2] = a[2] - b[2];
-
- //perform rotation
- r[0] = p[2]*Math.sin(c) + p[0]*Math.cos(c);
- r[1] = p[1];
- r[2] = p[2]*Math.cos(c) - p[0]*Math.sin(c);
-
- //translate to correct position
- out[0] = r[0] + b[0];
- out[1] = r[1] + b[1];
- out[2] = r[2] + b[2];
-
- return out;
- };
-
- /**
- * Rotate a 3D vector around the z-axis
- * @param {vec3} out The receiving vec3
- * @param {vec3} a The vec3 point to rotate
- * @param {vec3} b The origin of the rotation
- * @param {Number} c The angle of rotation
- * @returns {vec3} out
- */
- vec3.rotateZ = function(out, a, b, c){
- var p = [], r=[];
- //Translate point to the origin
- p[0] = a[0] - b[0];
- p[1] = a[1] - b[1];
- p[2] = a[2] - b[2];
-
- //perform rotation
- r[0] = p[0]*Math.cos(c) - p[1]*Math.sin(c);
- r[1] = p[0]*Math.sin(c) + p[1]*Math.cos(c);
- r[2] = p[2];
-
- //translate to correct position
- out[0] = r[0] + b[0];
- out[1] = r[1] + b[1];
- out[2] = r[2] + b[2];
-
- return out;
- };
-
- /**
- * Perform some operation over an array of vec3s.
- *
- * @param {Array} a the array of vectors to iterate over
- * @param {Number} stride Number of elements between the start of each vec3. If 0 assumes tightly packed
- * @param {Number} offset Number of elements to skip at the beginning of the array
- * @param {Number} count Number of vec3s to iterate over. If 0 iterates over entire array
- * @param {Function} fn Function to call for each vector in the array
- * @param {Object} [arg] additional argument to pass to fn
- * @returns {Array} a
- * @function
- */
- vec3.forEach = (function() {
- var vec = vec3.create();
-
- return function(a, stride, offset, count, fn, arg) {
- var i, l;
- if(!stride) {
- stride = 3;
- }
-
- if(!offset) {
- offset = 0;
- }
-
- if(count) {
- l = Math.min((count * stride) + offset, a.length);
- } else {
- l = a.length;
- }
-
- for(i = offset; i < l; i += stride) {
- vec[0] = a[i]; vec[1] = a[i+1]; vec[2] = a[i+2];
- fn(vec, vec, arg);
- a[i] = vec[0]; a[i+1] = vec[1]; a[i+2] = vec[2];
- }
-
- return a;
- };
- })();
-
- /**
- * Get the angle between two 3D vectors
- * @param {vec3} a The first operand
- * @param {vec3} b The second operand
- * @returns {Number} The angle in radians
- */
- vec3.angle = function(a, b) {
-
- var tempA = vec3.fromValues(a[0], a[1], a[2]);
- var tempB = vec3.fromValues(b[0], b[1], b[2]);
-
- vec3.normalize(tempA, tempA);
- vec3.normalize(tempB, tempB);
-
- var cosine = vec3.dot(tempA, tempB);
-
- if(cosine > 1.0){
- return 0;
- } else {
- return Math.acos(cosine);
- }
- };
-
- /**
- * Returns a string representation of a vector
- *
- * @param {vec3} a vector to represent as a string
- * @returns {String} string representation of the vector
- */
- vec3.str = function (a) {
- return 'vec3(' + a[0] + ', ' + a[1] + ', ' + a[2] + ')';
- };
-
- /**
- * Returns whether or not the vectors have exactly the same elements in the same position (when compared with ===)
- *
- * @param {vec3} a The first vector.
- * @param {vec3} b The second vector.
- * @returns {Boolean} True if the vectors are equal, false otherwise.
- */
- vec3.exactEquals = function (a, b) {
- return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];
- };
-
- /**
- * Returns whether or not the vectors have approximately the same elements in the same position.
- *
- * @param {vec3} a The first vector.
- * @param {vec3} b The second vector.
- * @returns {Boolean} True if the vectors are equal, false otherwise.
- */
- vec3.equals = function (a, b) {
- var a0 = a[0], a1 = a[1], a2 = a[2];
- var b0 = b[0], b1 = b[1], b2 = b[2];
- 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)));
- };
-
- module.exports = vec3;
-
-
-/***/ },
-/* 8 */
-/***/ function(module, exports, __webpack_require__) {
-
- /* 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. */
-
- var glMatrix = __webpack_require__(1);
-
- /**
- * @class 4 Dimensional Vector
- * @name vec4
- */
- var vec4 = {};
-
- /**
- * Creates a new, empty vec4
- *
- * @returns {vec4} a new 4D vector
- */
- vec4.create = function() {
- var out = new glMatrix.ARRAY_TYPE(4);
- out[0] = 0;
- out[1] = 0;
- out[2] = 0;
- out[3] = 0;
- return out;
- };
-
- /**
- * Creates a new vec4 initialized with values from an existing vector
- *
- * @param {vec4} a vector to clone
- * @returns {vec4} a new 4D vector
- */
- vec4.clone = function(a) {
- var out = new glMatrix.ARRAY_TYPE(4);
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- return out;
- };
-
- /**
- * Creates a new vec4 initialized with the given values
- *
- * @param {Number} x X component
- * @param {Number} y Y component
- * @param {Number} z Z component
- * @param {Number} w W component
- * @returns {vec4} a new 4D vector
- */
- vec4.fromValues = function(x, y, z, w) {
- var out = new glMatrix.ARRAY_TYPE(4);
- out[0] = x;
- out[1] = y;
- out[2] = z;
- out[3] = w;
- return out;
- };
-
- /**
- * Copy the values from one vec4 to another
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the source vector
- * @returns {vec4} out
- */
- vec4.copy = function(out, a) {
- out[0] = a[0];
- out[1] = a[1];
- out[2] = a[2];
- out[3] = a[3];
- return out;
- };
-
- /**
- * Set the components of a vec4 to the given values
- *
- * @param {vec4} out the receiving vector
- * @param {Number} x X component
- * @param {Number} y Y component
- * @param {Number} z Z component
- * @param {Number} w W component
- * @returns {vec4} out
- */
- vec4.set = function(out, x, y, z, w) {
- out[0] = x;
- out[1] = y;
- out[2] = z;
- out[3] = w;
- return out;
- };
-
- /**
- * Adds two vec4's
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @returns {vec4} out
- */
- vec4.add = function(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];
- return out;
- };
-
- /**
- * Subtracts vector b from vector a
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @returns {vec4} out
- */
- vec4.subtract = function(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];
- return out;
- };
-
- /**
- * Alias for {@link vec4.subtract}
- * @function
- */
- vec4.sub = vec4.subtract;
-
- /**
- * Multiplies two vec4's
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @returns {vec4} out
- */
- vec4.multiply = function(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];
- return out;
- };
-
- /**
- * Alias for {@link vec4.multiply}
- * @function
- */
- vec4.mul = vec4.multiply;
-
- /**
- * Divides two vec4's
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @returns {vec4} out
- */
- vec4.divide = function(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];
- return out;
- };
-
- /**
- * Alias for {@link vec4.divide}
- * @function
- */
- vec4.div = vec4.divide;
-
- /**
- * Math.ceil the components of a vec4
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a vector to ceil
- * @returns {vec4} out
- */
- vec4.ceil = function (out, a) {
- out[0] = Math.ceil(a[0]);
- out[1] = Math.ceil(a[1]);
- out[2] = Math.ceil(a[2]);
- out[3] = Math.ceil(a[3]);
- return out;
- };
-
- /**
- * Math.floor the components of a vec4
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a vector to floor
- * @returns {vec4} out
- */
- vec4.floor = function (out, a) {
- out[0] = Math.floor(a[0]);
- out[1] = Math.floor(a[1]);
- out[2] = Math.floor(a[2]);
- out[3] = Math.floor(a[3]);
- return out;
- };
-
- /**
- * Returns the minimum of two vec4's
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @returns {vec4} out
- */
- vec4.min = function(out, a, b) {
- out[0] = Math.min(a[0], b[0]);
- out[1] = Math.min(a[1], b[1]);
- out[2] = Math.min(a[2], b[2]);
- out[3] = Math.min(a[3], b[3]);
- return out;
- };
-
- /**
- * Returns the maximum of two vec4's
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @returns {vec4} out
- */
- vec4.max = function(out, a, b) {
- out[0] = Math.max(a[0], b[0]);
- out[1] = Math.max(a[1], b[1]);
- out[2] = Math.max(a[2], b[2]);
- out[3] = Math.max(a[3], b[3]);
- return out;
- };
-
- /**
- * Math.round the components of a vec4
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a vector to round
- * @returns {vec4} out
- */
- vec4.round = function (out, a) {
- out[0] = Math.round(a[0]);
- out[1] = Math.round(a[1]);
- out[2] = Math.round(a[2]);
- out[3] = Math.round(a[3]);
- return out;
- };
-
- /**
- * Scales a vec4 by a scalar number
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the vector to scale
- * @param {Number} b amount to scale the vector by
- * @returns {vec4} out
- */
- vec4.scale = function(out, a, b) {
- out[0] = a[0] * b;
- out[1] = a[1] * b;
- out[2] = a[2] * b;
- out[3] = a[3] * b;
- return out;
- };
-
- /**
- * Adds two vec4's after scaling the second operand by a scalar value
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @param {Number} scale the amount to scale b by before adding
- * @returns {vec4} out
- */
- vec4.scaleAndAdd = function(out, a, b, scale) {
- out[0] = a[0] + (b[0] * scale);
- out[1] = a[1] + (b[1] * scale);
- out[2] = a[2] + (b[2] * scale);
- out[3] = a[3] + (b[3] * scale);
- return out;
- };
-
- /**
- * Calculates the euclidian distance between two vec4's
- *
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @returns {Number} distance between a and b
- */
- vec4.distance = function(a, b) {
- var x = b[0] - a[0],
- y = b[1] - a[1],
- z = b[2] - a[2],
- w = b[3] - a[3];
- return Math.sqrt(x*x + y*y + z*z + w*w);
- };
-
- /**
- * Alias for {@link vec4.distance}
- * @function
- */
- vec4.dist = vec4.distance;
-
- /**
- * Calculates the squared euclidian distance between two vec4's
- *
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @returns {Number} squared distance between a and b
- */
- vec4.squaredDistance = function(a, b) {
- var x = b[0] - a[0],
- y = b[1] - a[1],
- z = b[2] - a[2],
- w = b[3] - a[3];
- return x*x + y*y + z*z + w*w;
- };
-
- /**
- * Alias for {@link vec4.squaredDistance}
- * @function
- */
- vec4.sqrDist = vec4.squaredDistance;
-
- /**
- * Calculates the length of a vec4
- *
- * @param {vec4} a vector to calculate length of
- * @returns {Number} length of a
- */
- vec4.length = function (a) {
- var x = a[0],
- y = a[1],
- z = a[2],
- w = a[3];
- return Math.sqrt(x*x + y*y + z*z + w*w);
- };
-
- /**
- * Alias for {@link vec4.length}
- * @function
- */
- vec4.len = vec4.length;
-
- /**
- * Calculates the squared length of a vec4
- *
- * @param {vec4} a vector to calculate squared length of
- * @returns {Number} squared length of a
- */
- vec4.squaredLength = function (a) {
- var x = a[0],
- y = a[1],
- z = a[2],
- w = a[3];
- return x*x + y*y + z*z + w*w;
- };
-
- /**
- * Alias for {@link vec4.squaredLength}
- * @function
- */
- vec4.sqrLen = vec4.squaredLength;
-
- /**
- * Negates the components of a vec4
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a vector to negate
- * @returns {vec4} out
- */
- vec4.negate = function(out, a) {
- out[0] = -a[0];
- out[1] = -a[1];
- out[2] = -a[2];
- out[3] = -a[3];
- return out;
- };
-
- /**
- * Returns the inverse of the components of a vec4
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a vector to invert
- * @returns {vec4} out
- */
- vec4.inverse = function(out, a) {
- out[0] = 1.0 / a[0];
- out[1] = 1.0 / a[1];
- out[2] = 1.0 / a[2];
- out[3] = 1.0 / a[3];
- return out;
- };
-
- /**
- * Normalize a vec4
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a vector to normalize
- * @returns {vec4} out
- */
- vec4.normalize = function(out, a) {
- var x = a[0],
- y = a[1],
- z = a[2],
- w = a[3];
- var len = x*x + y*y + z*z + w*w;
- if (len > 0) {
- len = 1 / Math.sqrt(len);
- out[0] = x * len;
- out[1] = y * len;
- out[2] = z * len;
- out[3] = w * len;
- }
- return out;
- };
-
- /**
- * Calculates the dot product of two vec4's
- *
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @returns {Number} dot product of a and b
- */
- vec4.dot = function (a, b) {
- return a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3];
- };
-
- /**
- * Performs a linear interpolation between two vec4's
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the first operand
- * @param {vec4} b the second operand
- * @param {Number} t interpolation amount between the two inputs
- * @returns {vec4} out
- */
- vec4.lerp = function (out, a, b, t) {
- var ax = a[0],
- ay = a[1],
- az = a[2],
- aw = a[3];
- out[0] = ax + t * (b[0] - ax);
- out[1] = ay + t * (b[1] - ay);
- out[2] = az + t * (b[2] - az);
- out[3] = aw + t * (b[3] - aw);
- return out;
- };
-
- /**
- * Generates a random vector with the given scale
- *
- * @param {vec4} out the receiving vector
- * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
- * @returns {vec4} out
- */
- vec4.random = function (out, scale) {
- scale = scale || 1.0;
-
- //TODO: This is a pretty awful way of doing this. Find something better.
- out[0] = glMatrix.RANDOM();
- out[1] = glMatrix.RANDOM();
- out[2] = glMatrix.RANDOM();
- out[3] = glMatrix.RANDOM();
- vec4.normalize(out, out);
- vec4.scale(out, out, scale);
- return out;
- };
-
- /**
- * Transforms the vec4 with a mat4.
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the vector to transform
- * @param {mat4} m matrix to transform with
- * @returns {vec4} out
- */
- vec4.transformMat4 = function(out, a, m) {
- var x = a[0], y = a[1], z = a[2], w = a[3];
- out[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;
- out[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;
- out[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;
- out[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;
- return out;
- };
-
- /**
- * Transforms the vec4 with a quat
- *
- * @param {vec4} out the receiving vector
- * @param {vec4} a the vector to transform
- * @param {quat} q quaternion to transform with
- * @returns {vec4} out
- */
- vec4.transformQuat = function(out, a, q) {
- var x = a[0], y = a[1], z = a[2],
- qx = q[0], qy = q[1], qz = q[2], qw = q[3],
-
- // calculate quat * vec
- ix = qw * x + qy * z - qz * y,
- iy = qw * y + qz * x - qx * z,
- iz = qw * z + qx * y - qy * x,
- iw = -qx * x - qy * y - qz * z;
-
- // calculate result * inverse quat
- out[0] = ix * qw + iw * -qx + iy * -qz - iz * -qy;
- out[1] = iy * qw + iw * -qy + iz * -qx - ix * -qz;
- out[2] = iz * qw + iw * -qz + ix * -qy - iy * -qx;
- out[3] = a[3];
- return out;
- };
-
- /**
- * Perform some operation over an array of vec4s.
- *
- * @param {Array} a the array of vectors to iterate over
- * @param {Number} stride Number of elements between the start of each vec4. If 0 assumes tightly packed
- * @param {Number} offset Number of elements to skip at the beginning of the array
- * @param {Number} count Number of vec4s to iterate over. If 0 iterates over entire array
- * @param {Function} fn Function to call for each vector in the array
- * @param {Object} [arg] additional argument to pass to fn
- * @returns {Array} a
- * @function
- */
- vec4.forEach = (function() {
- var vec = vec4.create();
-
- return function(a, stride, offset, count, fn, arg) {
- var i, l;
- if(!stride) {
- stride = 4;
- }
-
- if(!offset) {
- offset = 0;
- }
-
- if(count) {
- l = Math.min((count * stride) + offset, a.length);
- } else {
- l = a.length;
- }
-
- for(i = offset; i < l; i += stride) {
- vec[0] = a[i]; vec[1] = a[i+1]; vec[2] = a[i+2]; vec[3] = a[i+3];
- fn(vec, vec, arg);
- a[i] = vec[0]; a[i+1] = vec[1]; a[i+2] = vec[2]; a[i+3] = vec[3];
- }
-
- return a;
- };
- })();
-
- /**
- * Returns a string representation of a vector
- *
- * @param {vec4} a vector to represent as a string
- * @returns {String} string representation of the vector
- */
- vec4.str = function (a) {
- return 'vec4(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' + a[3] + ')';
- };
-
- /**
- * Returns whether or not the vectors have exactly the same elements in the same position (when compared with ===)
- *
- * @param {vec4} a The first vector.
- * @param {vec4} b The second vector.
- * @returns {Boolean} True if the vectors are equal, false otherwise.
- */
- vec4.exactEquals = function (a, b) {
- return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];
- };
-
- /**
- * Returns whether or not the vectors have approximately the same elements in the same position.
- *
- * @param {vec4} a The first vector.
- * @param {vec4} b The second vector.
- * @returns {Boolean} True if the vectors are equal, false otherwise.
- */
- vec4.equals = function (a, b) {
- var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3];
- var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3];
- 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)));
- };
-
- module.exports = vec4;
-
-
-/***/ },
-/* 9 */
-/***/ function(module, exports, __webpack_require__) {
-
- /* 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. */
-
- var glMatrix = __webpack_require__(1);
-
- /**
- * @class 2 Dimensional Vector
- * @name vec2
- */
- var vec2 = {};
-
- /**
- * Creates a new, empty vec2
- *
- * @returns {vec2} a new 2D vector
- */
- vec2.create = function() {
- var out = new glMatrix.ARRAY_TYPE(2);
- out[0] = 0;
- out[1] = 0;
- return out;
- };
-
- /**
- * Creates a new vec2 initialized with values from an existing vector
- *
- * @param {vec2} a vector to clone
- * @returns {vec2} a new 2D vector
- */
- vec2.clone = function(a) {
- var out = new glMatrix.ARRAY_TYPE(2);
- out[0] = a[0];
- out[1] = a[1];
- return out;
- };
-
- /**
- * Creates a new vec2 initialized with the given values
- *
- * @param {Number} x X component
- * @param {Number} y Y component
- * @returns {vec2} a new 2D vector
- */
- vec2.fromValues = function(x, y) {
- var out = new glMatrix.ARRAY_TYPE(2);
- out[0] = x;
- out[1] = y;
- return out;
- };
-
- /**
- * Copy the values from one vec2 to another
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the source vector
- * @returns {vec2} out
- */
- vec2.copy = function(out, a) {
- out[0] = a[0];
- out[1] = a[1];
- return out;
- };
-
- /**
- * Set the components of a vec2 to the given values
- *
- * @param {vec2} out the receiving vector
- * @param {Number} x X component
- * @param {Number} y Y component
- * @returns {vec2} out
- */
- vec2.set = function(out, x, y) {
- out[0] = x;
- out[1] = y;
- return out;
- };
-
- /**
- * Adds two vec2's
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {vec2} out
- */
- vec2.add = function(out, a, b) {
- out[0] = a[0] + b[0];
- out[1] = a[1] + b[1];
- return out;
- };
-
- /**
- * Subtracts vector b from vector a
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {vec2} out
- */
- vec2.subtract = function(out, a, b) {
- out[0] = a[0] - b[0];
- out[1] = a[1] - b[1];
- return out;
- };
-
- /**
- * Alias for {@link vec2.subtract}
- * @function
- */
- vec2.sub = vec2.subtract;
-
- /**
- * Multiplies two vec2's
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {vec2} out
- */
- vec2.multiply = function(out, a, b) {
- out[0] = a[0] * b[0];
- out[1] = a[1] * b[1];
- return out;
- };
-
- /**
- * Alias for {@link vec2.multiply}
- * @function
- */
- vec2.mul = vec2.multiply;
-
- /**
- * Divides two vec2's
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {vec2} out
- */
- vec2.divide = function(out, a, b) {
- out[0] = a[0] / b[0];
- out[1] = a[1] / b[1];
- return out;
- };
-
- /**
- * Alias for {@link vec2.divide}
- * @function
- */
- vec2.div = vec2.divide;
-
- /**
- * Math.ceil the components of a vec2
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a vector to ceil
- * @returns {vec2} out
- */
- vec2.ceil = function (out, a) {
- out[0] = Math.ceil(a[0]);
- out[1] = Math.ceil(a[1]);
- return out;
- };
-
- /**
- * Math.floor the components of a vec2
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a vector to floor
- * @returns {vec2} out
- */
- vec2.floor = function (out, a) {
- out[0] = Math.floor(a[0]);
- out[1] = Math.floor(a[1]);
- return out;
- };
-
- /**
- * Returns the minimum of two vec2's
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {vec2} out
- */
- vec2.min = function(out, a, b) {
- out[0] = Math.min(a[0], b[0]);
- out[1] = Math.min(a[1], b[1]);
- return out;
- };
-
- /**
- * Returns the maximum of two vec2's
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {vec2} out
- */
- vec2.max = function(out, a, b) {
- out[0] = Math.max(a[0], b[0]);
- out[1] = Math.max(a[1], b[1]);
- return out;
- };
-
- /**
- * Math.round the components of a vec2
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a vector to round
- * @returns {vec2} out
- */
- vec2.round = function (out, a) {
- out[0] = Math.round(a[0]);
- out[1] = Math.round(a[1]);
- return out;
- };
-
- /**
- * Scales a vec2 by a scalar number
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the vector to scale
- * @param {Number} b amount to scale the vector by
- * @returns {vec2} out
- */
- vec2.scale = function(out, a, b) {
- out[0] = a[0] * b;
- out[1] = a[1] * b;
- return out;
- };
-
- /**
- * Adds two vec2's after scaling the second operand by a scalar value
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @param {Number} scale the amount to scale b by before adding
- * @returns {vec2} out
- */
- vec2.scaleAndAdd = function(out, a, b, scale) {
- out[0] = a[0] + (b[0] * scale);
- out[1] = a[1] + (b[1] * scale);
- return out;
- };
-
- /**
- * Calculates the euclidian distance between two vec2's
- *
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {Number} distance between a and b
- */
- vec2.distance = function(a, b) {
- var x = b[0] - a[0],
- y = b[1] - a[1];
- return Math.sqrt(x*x + y*y);
- };
-
- /**
- * Alias for {@link vec2.distance}
- * @function
- */
- vec2.dist = vec2.distance;
-
- /**
- * Calculates the squared euclidian distance between two vec2's
- *
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {Number} squared distance between a and b
- */
- vec2.squaredDistance = function(a, b) {
- var x = b[0] - a[0],
- y = b[1] - a[1];
- return x*x + y*y;
- };
-
- /**
- * Alias for {@link vec2.squaredDistance}
- * @function
- */
- vec2.sqrDist = vec2.squaredDistance;
-
- /**
- * Calculates the length of a vec2
- *
- * @param {vec2} a vector to calculate length of
- * @returns {Number} length of a
- */
- vec2.length = function (a) {
- var x = a[0],
- y = a[1];
- return Math.sqrt(x*x + y*y);
- };
-
- /**
- * Alias for {@link vec2.length}
- * @function
- */
- vec2.len = vec2.length;
-
- /**
- * Calculates the squared length of a vec2
- *
- * @param {vec2} a vector to calculate squared length of
- * @returns {Number} squared length of a
- */
- vec2.squaredLength = function (a) {
- var x = a[0],
- y = a[1];
- return x*x + y*y;
- };
-
- /**
- * Alias for {@link vec2.squaredLength}
- * @function
- */
- vec2.sqrLen = vec2.squaredLength;
-
- /**
- * Negates the components of a vec2
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a vector to negate
- * @returns {vec2} out
- */
- vec2.negate = function(out, a) {
- out[0] = -a[0];
- out[1] = -a[1];
- return out;
- };
-
- /**
- * Returns the inverse of the components of a vec2
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a vector to invert
- * @returns {vec2} out
- */
- vec2.inverse = function(out, a) {
- out[0] = 1.0 / a[0];
- out[1] = 1.0 / a[1];
- return out;
- };
-
- /**
- * Normalize a vec2
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a vector to normalize
- * @returns {vec2} out
- */
- vec2.normalize = function(out, a) {
- var x = a[0],
- y = a[1];
- var len = x*x + y*y;
- 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;
- }
- return out;
- };
-
- /**
- * Calculates the dot product of two vec2's
- *
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {Number} dot product of a and b
- */
- vec2.dot = function (a, b) {
- return a[0] * b[0] + a[1] * b[1];
- };
-
- /**
- * Computes the cross product of two vec2's
- * Note that the cross product must by definition produce a 3D vector
- *
- * @param {vec3} out the receiving vector
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @returns {vec3} out
- */
- vec2.cross = function(out, a, b) {
- var z = a[0] * b[1] - a[1] * b[0];
- out[0] = out[1] = 0;
- out[2] = z;
- return out;
- };
-
- /**
- * Performs a linear interpolation between two vec2's
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the first operand
- * @param {vec2} b the second operand
- * @param {Number} t interpolation amount between the two inputs
- * @returns {vec2} out
- */
- vec2.lerp = function (out, a, b, t) {
- var ax = a[0],
- ay = a[1];
- out[0] = ax + t * (b[0] - ax);
- out[1] = ay + t * (b[1] - ay);
- return out;
- };
-
- /**
- * Generates a random vector with the given scale
- *
- * @param {vec2} out the receiving vector
- * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
- * @returns {vec2} out
- */
- vec2.random = function (out, scale) {
- scale = scale || 1.0;
- var r = glMatrix.RANDOM() * 2.0 * Math.PI;
- out[0] = Math.cos(r) * scale;
- out[1] = Math.sin(r) * scale;
- return out;
- };
-
- /**
- * Transforms the vec2 with a mat2
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the vector to transform
- * @param {mat2} m matrix to transform with
- * @returns {vec2} out
- */
- vec2.transformMat2 = function(out, a, m) {
- var x = a[0],
- y = a[1];
- out[0] = m[0] * x + m[2] * y;
- out[1] = m[1] * x + m[3] * y;
- return out;
- };
-
- /**
- * Transforms the vec2 with a mat2d
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the vector to transform
- * @param {mat2d} m matrix to transform with
- * @returns {vec2} out
- */
- vec2.transformMat2d = function(out, a, m) {
- var x = a[0],
- y = a[1];
- out[0] = m[0] * x + m[2] * y + m[4];
- out[1] = m[1] * x + m[3] * y + m[5];
- return out;
- };
-
- /**
- * Transforms the vec2 with a mat3
- * 3rd vector component is implicitly '1'
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the vector to transform
- * @param {mat3} m matrix to transform with
- * @returns {vec2} out
- */
- vec2.transformMat3 = function(out, a, m) {
- var x = a[0],
- y = a[1];
- out[0] = m[0] * x + m[3] * y + m[6];
- out[1] = m[1] * x + m[4] * y + m[7];
- return out;
- };
-
- /**
- * Transforms the vec2 with a mat4
- * 3rd vector component is implicitly '0'
- * 4th vector component is implicitly '1'
- *
- * @param {vec2} out the receiving vector
- * @param {vec2} a the vector to transform
- * @param {mat4} m matrix to transform with
- * @returns {vec2} out
- */
- vec2.transformMat4 = function(out, a, m) {
- var x = a[0],
- y = a[1];
- out[0] = m[0] * x + m[4] * y + m[12];
- out[1] = m[1] * x + m[5] * y + m[13];
- return out;
- };
-
- /**
- * Perform some operation over an array of vec2s.
- *
- * @param {Array} a the array of vectors to iterate over
- * @param {Number} stride Number of elements between the start of each vec2. If 0 assumes tightly packed
- * @param {Number} offset Number of elements to skip at the beginning of the array
- * @param {Number} count Number of vec2s to iterate over. If 0 iterates over entire array
- * @param {Function} fn Function to call for each vector in the array
- * @param {Object} [arg] additional argument to pass to fn
- * @returns {Array} a
- * @function
- */
- vec2.forEach = (function() {
- var vec = vec2.create();
-
- return function(a, stride, offset, count, fn, arg) {
- var i, l;
- if(!stride) {
- stride = 2;
- }
-
- if(!offset) {
- offset = 0;
- }
-
- if(count) {
- l = Math.min((count * stride) + offset, a.length);
- } else {
- l = a.length;
- }
-
- for(i = offset; i < l; i += stride) {
- vec[0] = a[i]; vec[1] = a[i+1];
- fn(vec, vec, arg);
- a[i] = vec[0]; a[i+1] = vec[1];
- }
-
- return a;
- };
- })();
-
- /**
- * Returns a string representation of a vector
- *
- * @param {vec2} a vector to represent as a string
- * @returns {String} string representation of the vector
- */
- vec2.str = function (a) {
- return 'vec2(' + a[0] + ', ' + a[1] + ')';
- };
-
- /**
- * Returns whether or not the vectors exactly have the same elements in the same position (when compared with ===)
- *
- * @param {vec2} a The first vector.
- * @param {vec2} b The second vector.
- * @returns {Boolean} True if the vectors are equal, false otherwise.
- */
- vec2.exactEquals = function (a, b) {
- return a[0] === b[0] && a[1] === b[1];
- };
-
- /**
- * Returns whether or not the vectors have approximately the same elements in the same position.
- *
- * @param {vec2} a The first vector.
- * @param {vec2} b The second vector.
- * @returns {Boolean} True if the vectors are equal, false otherwise.
- */
- vec2.equals = function (a, b) {
- var a0 = a[0], a1 = a[1];
- var b0 = b[0], b1 = b[1];
- 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)));
- };
-
- module.exports = vec2;
-
-
-/***/ }
-/******/ ])
-});
-;
\ No newline at end of file
diff --git a/client/public/index.html b/client/public/index.html
index 94c2f16..080bf8e 100644
--- a/client/public/index.html
+++ b/client/public/index.html
@@ -10,10 +10,11 @@
-
-
-
-
+
+
+
+
+
@@ -33,66 +34,6 @@
-
-
diff --git a/client/public/index.js b/client/public/index.js
deleted file mode 100644
index 1db8424..0000000
--- a/client/public/index.js
+++ /dev/null
@@ -1,125 +0,0 @@
-function main() {
- const canvas = document.querySelector('#webglviewer');
- const gl = canvas.getContext('webgl2');
-
- // Only continue if WebGL is available and working
- if (gl === null) {
- alert('Unable to initialize WebGL. Your browser or machine may not support it.');
- return;
- }
-
- // Set clear color to black, fully opaque
- gl.clearColor(0.0, 0.0, 0.0, 1.0);
- // Clear the color buffer with specified clear color
- gl.clear(gl.COLOR_BUFFER_BIT);
- gl.enable(gl.DEPTH_TEST);
-
- const vsSource = document.getElementById('vertex-draw').text.trim();
- const fsSource = document.getElementById('fragment-draw').text.trim();
-
- const vertexShader = gl.createShader(gl.VERTEX_SHADER);
- gl.shaderSource(vertexShader, vsSource);
- gl.compileShader(vertexShader);
-
- if (!gl.getShaderParameter(vertexShader, gl.COMPILE_STATUS)) {
- console.error(gl.getShaderInfoLog(vertexShader));
- }
-
- const fragmentShader = gl.createShader(gl.FRAGMENT_SHADER);
- gl.shaderSource(fragmentShader, fsSource);
- gl.compileShader(fragmentShader);
-
- if (!gl.getShaderParameter(fragmentShader, gl.COMPILE_STATUS)) {
- console.error(gl.getShaderInfoLog(fragmentShader));
- }
-
- const program = gl.createProgram();
- gl.attachShader(program, vertexShader);
- gl.attachShader(program, fragmentShader);
- gl.linkProgram(program);
-
- if (!gl.getProgramParameter(program, gl.LINK_STATUS)) {
- console.error(gl.getProgramInfoLog(program));
- }
-
- const sceneUniformsLocation = gl.getUniformBlockIndex(program, 'SceneUniforms');
- gl.uniformBlockBinding(program, sceneUniformsLocation, 0);
-
- const modelMatrixLocation = gl.getUniformLocation(program, 'uModel');
-
- gl.useProgram(program);
-
- const box = utils.createBox({dimensions: [.5, .6, .5]});
- const numVertices = box.positions.length / 3;
-
- const cubeArray = gl.createVertexArray();
- gl.bindVertexArray(cubeArray);
-
- const positionBuffer = gl.createBuffer();
- gl.bindBuffer(gl.ARRAY_BUFFER, positionBuffer);
- gl.bufferData(gl.ARRAY_BUFFER, box.positions, gl.STATIC_DRAW);
- gl.vertexAttribPointer(0, 3, gl.FLOAT, false, 0, 0);
- gl.enableVertexAttribArray(0);
-
- const uvBuffer = gl.createBuffer();
- gl.bindBuffer(gl.ARRAY_BUFFER, uvBuffer);
- gl.bufferData(gl.ARRAY_BUFFER, box.uvs, gl.STATIC_DRAW);
- gl.vertexAttribPointer(1, 2, gl.FLOAT, false, 0, 0);
- gl.enableVertexAttribArray(1);
-
- const normalBuffer = gl.createBuffer();
- gl.bindBuffer(gl.ARRAY_BUFFER, normalBuffer);
- gl.bufferData(gl.ARRAY_BUFFER, box.normals, gl.STATIC_DRAW);
- gl.vertexAttribPointer(2, 3, gl.FLOAT, false, 0, 0);
- gl.enableVertexAttribArray(2);
-
-
- const projMatrix = mat4.create();
- mat4.perspective(projMatrix, Math.PI / 2, gl.drawingBufferWidth / gl.drawingBufferHeight, 0.1, 10.0);
-
- const viewMatrix = mat4.create();
- const eyePosition = vec3.fromValues(1, 1, 1);
- mat4.lookAt(viewMatrix, eyePosition, vec3.fromValues(0, 0, 0), vec3.fromValues(0, 1, 0));
-
- const viewProjMatrix = mat4.create();
- mat4.multiply(viewProjMatrix, projMatrix, viewMatrix);
-
- const lightPosition = vec3.fromValues(1, 1, 0.5);
-
- const modelMatrix = mat4.create();
- const rotateXMatrix = mat4.create();
- const rotateYMatrix = mat4.create();
-
- const sceneUniformData = new Float32Array(24);
- sceneUniformData.set(viewProjMatrix);
- sceneUniformData.set(eyePosition, 16);
- sceneUniformData.set(lightPosition, 20);
-
- const sceneUniformBuffer = gl.createBuffer();
- gl.bindBufferBase(gl.UNIFORM_BUFFER, 0, sceneUniformBuffer);
- gl.bufferData(gl.UNIFORM_BUFFER, sceneUniformData, gl.STATIC_DRAW);
-
- let angleX = 0;
- let angleY = 0;
-
-
- function draw() {
- angleX += 0.01;
- angleY += 0.015;
-
- mat4.fromXRotation(rotateXMatrix, angleX);
- mat4.fromYRotation(rotateYMatrix, angleY);
- mat4.multiply(modelMatrix, rotateXMatrix, rotateYMatrix);
-
- gl.uniformMatrix4fv(modelMatrixLocation, false, modelMatrix);
-
- gl.clear(gl.COLOR_BUFFER_BIT);
- gl.drawArrays(gl.TRIANGLES, 0, numVertices);
-
- requestAnimationFrame(draw);
- }
-
- requestAnimationFrame(draw);
-}
-
-window.onload = main;
diff --git a/client/public/index.mjs b/client/public/index.mjs
new file mode 100644
index 0000000..b7d7e8a
--- /dev/null
+++ b/client/public/index.mjs
@@ -0,0 +1,10 @@
+import { RendererPreInit, BrickRenderer } from './brick-renderer/index.mjs';
+
+async function main() {
+ await RendererPreInit();
+
+ const canvas = document.querySelector('#webglviewer');
+ const Renderer = new BrickRenderer(canvas);
+}
+
+window.onload = main;
diff --git a/client/public/utils.js b/client/public/utils.js
deleted file mode 100644
index a8eb08f..0000000
--- a/client/public/utils.js
+++ /dev/null
@@ -1,374 +0,0 @@
-///////////////////////////////////////////////////////////////////////////////////
-// The MIT License (MIT)
-//
-// Copyright (c) 2017 Tarek Sherif
-//
-// 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.
-///////////////////////////////////////////////////////////////////////////////////
-
-(function() {
- var translateMat = mat4.create();
- var rotateXMat = mat4.create();
- var rotateYMat = mat4.create();
- var rotateZMat = mat4.create();
- var scaleMat = mat4.create();
-
- var zeros = [0, 0, 0];
- var ones = [1, 1, 1];
-
- window.utils = {
- xformMatrix: function xformMatrix(xform, translate, rotate, scale) {
- translate = translate || zeros;
- rotate = rotate || zeros;
- scale = scale || ones;
-
- mat4.fromTranslation(translateMat, translate);
- mat4.fromXRotation(rotateXMat, rotate[0]);
- mat4.fromYRotation(rotateYMat, rotate[1]);
- mat4.fromZRotation(rotateZMat, rotate[2]);
- mat4.fromScaling(scaleMat, scale);
-
- mat4.multiply(xform, rotateXMat, scaleMat);
- mat4.multiply(xform, rotateYMat, xform);
- mat4.multiply(xform, rotateZMat, xform);
- mat4.multiply(xform, translateMat, xform);
- },
-
- loadCubemapImages: function loadCubeMapImages(urls, ok) {
- var numImages = 6;
-
- var negX = new Image();
- var posX = new Image();
- var negY = new Image();
- var posY = new Image();
- var negZ = new Image();
- var posZ = new Image();
-
- function onload() {
- if (--numImages === 0) {
- ok(negX, posX, negY, posY, negZ, posZ);
- }
- }
-
- negX.onload = onload;
- posX.onload = onload;
- negY.onload = onload;
- posY.onload = onload;
- negZ.onload = onload;
- posZ.onload = onload;
-
- negX.src = urls.negX;
- posX.src = urls.posX;
- negY.src = urls.negY;
- posY.src = urls.posY;
- negZ.src = urls.negZ;
- posZ.src = urls.posZ;
- },
-
- createBox: function createBox(options) {
- options = options || {};
-
- var dimensions = options.dimensions || [1, 1, 1];
- var position = options.position || [-dimensions[0] / 2, -dimensions[1] / 2, -dimensions[2] / 2];
- var x = position[0];
- var y = position[1];
- var z = position[2];
- var width = dimensions[0];
- var height = dimensions[1];
- var depth = dimensions[2];
-
- var fbl = {x: x, y: y, z: z + depth};
- var fbr = {x: x + width, y: y, z: z + depth};
- var ftl = {x: x, y: y + height, z: z + depth};
- var ftr = {x: x + width, y: y + height, z: z + depth};
- var bbl = {x: x, y: y, z: z };
- var bbr = {x: x + width, y: y, z: z };
- var btl = {x: x, y: y + height, z: z };
- var btr = {x: x + width, y: y + height, z: z };
-
- var positions = new Float32Array([
- //front
- fbl.x, fbl.y, fbl.z,
- fbr.x, fbr.y, fbr.z,
- ftl.x, ftl.y, ftl.z,
- ftl.x, ftl.y, ftl.z,
- fbr.x, fbr.y, fbr.z,
- ftr.x, ftr.y, ftr.z,
-
- //right
- fbr.x, fbr.y, fbr.z,
- bbr.x, bbr.y, bbr.z,
- ftr.x, ftr.y, ftr.z,
- ftr.x, ftr.y, ftr.z,
- bbr.x, bbr.y, bbr.z,
- btr.x, btr.y, btr.z,
-
- //back
- fbr.x, bbr.y, bbr.z,
- bbl.x, bbl.y, bbl.z,
- btr.x, btr.y, btr.z,
- btr.x, btr.y, btr.z,
- bbl.x, bbl.y, bbl.z,
- btl.x, btl.y, btl.z,
-
- //left
- bbl.x, bbl.y, bbl.z,
- fbl.x, fbl.y, fbl.z,
- btl.x, btl.y, btl.z,
- btl.x, btl.y, btl.z,
- fbl.x, fbl.y, fbl.z,
- ftl.x, ftl.y, ftl.z,
-
- //top
- ftl.x, ftl.y, ftl.z,
- ftr.x, ftr.y, ftr.z,
- btl.x, btl.y, btl.z,
- btl.x, btl.y, btl.z,
- ftr.x, ftr.y, ftr.z,
- btr.x, btr.y, btr.z,
-
- //bottom
- bbl.x, bbl.y, bbl.z,
- bbr.x, bbr.y, bbr.z,
- fbl.x, fbl.y, fbl.z,
- fbl.x, fbl.y, fbl.z,
- bbr.x, bbr.y, bbr.z,
- fbr.x, fbr.y, fbr.z,
- ]);
-
- var uvs = new Float32Array([
- //front
- 0, 0,
- 1, 0,
- 0, 1,
- 0, 1,
- 1, 0,
- 1, 1,
-
- //right
- 0, 0,
- 1, 0,
- 0, 1,
- 0, 1,
- 1, 0,
- 1, 1,
-
- //back
- 0, 0,
- 1, 0,
- 0, 1,
- 0, 1,
- 1, 0,
- 1, 1,
-
- //left
- 0, 0,
- 1, 0,
- 0, 1,
- 0, 1,
- 1, 0,
- 1, 1,
-
- //top
- 0, 0,
- 1, 0,
- 0, 1,
- 0, 1,
- 1, 0,
- 1, 1,
-
- //bottom
- 0, 0,
- 1, 0,
- 0, 1,
- 0, 1,
- 1, 0,
- 1, 1
- ]);
-
- var normals = new Float32Array(positions.length);
- var i, count;
- var ni;
-
- for (i = 0, count = positions.length / 3; i < count; i++) {
- ni = i * 3;
-
- normals[ni] = parseInt(i / 6, 10) === 1 ? 1 :
- parseInt(i / 6, 10) === 3 ? -1 : 0;
-
- normals[ni+1] = parseInt(i / 6, 10) === 4 ? 1 :
- parseInt(i / 6, 10) === 5 ? -1 : 0;
-
- normals[ni+2] = parseInt(i / 6, 10) === 0 ? 1 :
- parseInt(i / 6, 10) === 2 ? -1 : 0;
-
- }
-
- return {
- positions: positions,
- normals: normals,
- uvs: uvs
- };
-
- },
-
- createSphere: function createSphere(options) {
- options = options || {};
-
- var long_bands = options.long_bands || 32;
- var lat_bands = options.lat_bands || 32;
- var radius = options.radius || 1;
- var lat_step = Math.PI / lat_bands;
- var long_step = 2 * Math.PI / long_bands;
- var num_positions = long_bands * lat_bands * 4;
- var num_indices = long_bands * lat_bands * 6;
- var lat_angle, long_angle;
- var positions = new Float32Array(num_positions * 3);
- var normals = new Float32Array(num_positions * 3);
- var uvs = new Float32Array(num_positions * 2);
- var indices = new Uint16Array(num_indices);
- var x1, x2, x3, x4,
- y1, y2,
- z1, z2, z3, z4,
- u1, u2,
- v1, v2;
- var i, j;
- var k = 0, l = 0;
- var vi, ti;
-
- for (i = 0; i < lat_bands; i++) {
- lat_angle = i * lat_step;
- y1 = Math.cos(lat_angle);
- y2 = Math.cos(lat_angle + lat_step);
- for (j = 0; j < long_bands; j++) {
- long_angle = j * long_step;
- x1 = Math.sin(lat_angle) * Math.cos(long_angle);
- x2 = Math.sin(lat_angle) * Math.cos(long_angle + long_step);
- x3 = Math.sin(lat_angle + lat_step) * Math.cos(long_angle);
- x4 = Math.sin(lat_angle + lat_step) * Math.cos(long_angle + long_step);
- z1 = Math.sin(lat_angle) * Math.sin(long_angle);
- z2 = Math.sin(lat_angle) * Math.sin(long_angle + long_step);
- z3 = Math.sin(lat_angle + lat_step) * Math.sin(long_angle);
- z4 = Math.sin(lat_angle + lat_step) * Math.sin(long_angle + long_step);
- u1 = 1 - j / long_bands;
- u2 = 1 - (j + 1) / long_bands;
- v1 = 1 - i / lat_bands;
- v2 = 1 - (i + 1) / lat_bands;
- vi = k * 3;
- ti = k * 2;
-
- positions[vi] = x1 * radius;
- positions[vi+1] = y1 * radius;
- positions[vi+2] = z1 * radius; //v0
-
- positions[vi+3] = x2 * radius;
- positions[vi+4] = y1 * radius;
- positions[vi+5] = z2 * radius; //v1
-
- positions[vi+6] = x3 * radius;
- positions[vi+7] = y2 * radius;
- positions[vi+8] = z3 * radius; // v2
-
-
- positions[vi+9] = x4 * radius;
- positions[vi+10] = y2 * radius;
- positions[vi+11] = z4 * radius; // v3
-
- normals[vi] = x1;
- normals[vi+1] = y1;
- normals[vi+2] = z1;
-
- normals[vi+3] = x2;
- normals[vi+4] = y1;
- normals[vi+5] = z2;
-
- normals[vi+6] = x3;
- normals[vi+7] = y2;
- normals[vi+8] = z3;
-
- normals[vi+9] = x4;
- normals[vi+10] = y2;
- normals[vi+11] = z4;
-
- uvs[ti] = u1;
- uvs[ti+1] = v1;
-
- uvs[ti+2] = u2;
- uvs[ti+3] = v1;
-
- uvs[ti+4] = u1;
- uvs[ti+5] = v2;
-
- uvs[ti+6] = u2;
- uvs[ti+7] = v2;
-
- indices[l ] = k;
- indices[l + 1] = k + 1;
- indices[l + 2] = k + 2;
- indices[l + 3] = k + 2;
- indices[l + 4] = k + 1;
- indices[l + 5] = k + 3;
-
- k += 4;
- l += 6;
- }
- }
-
- return {
- positions: positions,
- normals: normals,
- uvs: uvs,
- indices: indices
- };
- },
-
- computeBoundingBox: function (position, options) {
- options = options || {};
- var geo = options.geo || false;
-
- var res = {
- min: vec3.create(),
- max: vec3.create()
- };
- vec3.set(res.min, Number.POSITIVE_INFINITY, Number.POSITIVE_INFINITY, Number.POSITIVE_INFINITY);
- vec3.set(res.max, Number.NEGATIVE_INFINITY, Number.NEGATIVE_INFINITY, Number.NEGATIVE_INFINITY);
- for ( var i = 0, len = position.length; i < len; i+=3 ) {
- res.min[0] = Math.min(position[i], res.min[0]);
- res.max[0] = Math.max(position[i], res.max[0]);
- res.min[1] = Math.min(position[i], res.min[1]);
- res.max[1] = Math.max(position[i], res.max[1]);
- res.min[2] = Math.min(position[i], res.min[2]);
- res.max[2] = Math.max(position[i], res.max[2]);
- }
-
- if (geo) {
- var size = vec3.create();
- vec3.subtract(size, res.max, res.min);
- res.geo = utils.createBox({
- position: res.min,
- width: size[0],
- height: size[1],
- depth: size[2]
- });
- }
-
- return res;
- }
- }
-
-})();
\ No newline at end of file