From 39c32fbb5bdbb98541942aa478d3ca70875c10ec Mon Sep 17 00:00:00 2001 From: Ben <36240171+benkyd@users.noreply.github.com> Date: Mon, 28 Feb 2022 12:49:51 +0000 Subject: [PATCH] GLM FINALLY Former-commit-id: 2e98ca5c974b25af32d31fd6e8e189b860e46d9f --- client/public/brick-renderer/glm.mjs | 4100 -------------------- client/public/brick-renderer/glm/common.js | 50 + client/public/brick-renderer/glm/glm.mjs | 11 + client/public/brick-renderer/glm/mat2.js | 432 +++ client/public/brick-renderer/glm/mat2d.js | 486 +++ client/public/brick-renderer/glm/mat3.js | 778 ++++ client/public/brick-renderer/glm/mat4.js | 1910 +++++++++ client/public/brick-renderer/glm/quat.js | 710 ++++ client/public/brick-renderer/glm/quat2.js | 835 ++++ client/public/brick-renderer/glm/vec2.js | 624 +++ client/public/brick-renderer/glm/vec3.js | 787 ++++ client/public/brick-renderer/glm/vec4.js | 663 ++++ client/public/brick-renderer/index.mjs | 30 +- package-lock.json | 11 + package.json | 5 +- 15 files changed, 7316 insertions(+), 4116 deletions(-) delete mode 100644 client/public/brick-renderer/glm.mjs create mode 100644 client/public/brick-renderer/glm/common.js create mode 100644 client/public/brick-renderer/glm/glm.mjs create mode 100644 client/public/brick-renderer/glm/mat2.js create mode 100644 client/public/brick-renderer/glm/mat2d.js create mode 100644 client/public/brick-renderer/glm/mat3.js create mode 100644 client/public/brick-renderer/glm/mat4.js create mode 100644 client/public/brick-renderer/glm/quat.js create mode 100644 client/public/brick-renderer/glm/quat2.js create mode 100644 client/public/brick-renderer/glm/vec2.js create mode 100644 client/public/brick-renderer/glm/vec3.js create mode 100644 client/public/brick-renderer/glm/vec4.js diff --git a/client/public/brick-renderer/glm.mjs b/client/public/brick-renderer/glm.mjs deleted file mode 100644 index e08156c..0000000 --- a/client/public/brick-renderer/glm.mjs +++ /dev/null @@ -1,4100 +0,0 @@ -/** - * @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'; - - const 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 - */ - const 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 - */ - - const vec2 = {}; - - /** - * Creates a new, empty vec2 - * - * @returns {vec2} a new 2D vector - */ - vec2.create = function () { - const 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) { - const 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) { - const 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) { - const x = b[0] - a[0]; - const 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) { - const x = b[0] - a[0]; - const 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) { - const x = a[0]; - const 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) { - const x = a[0]; - const 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) { - const x = a[0]; - const y = a[1]; - let 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) { - const 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) { - const ax = a[0]; - const 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; - const 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) { - const x = a[0]; - const 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) { - const x = a[0]; - const 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) { - const x = a[0]; - const 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) { - const x = a[0]; - const 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 () { - const vec = vec2.create(); - - return function (a, stride, offset, count, fn, arg) { - let 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 - */ - - const vec3 = {}; - - /** - * Creates a new, empty vec3 - * - * @returns {vec3} a new 3D vector - */ - vec3.create = function () { - const 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) { - const 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) { - const 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) { - const x = b[0] - a[0]; - const y = b[1] - a[1]; - const 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) { - const x = b[0] - a[0]; - const y = b[1] - a[1]; - const 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) { - const x = a[0]; - const y = a[1]; - const 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) { - const x = a[0]; - const y = a[1]; - const 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) { - const x = a[0]; - const y = a[1]; - const z = a[2]; - let 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) { - const ax = a[0]; const ay = a[1]; const az = a[2]; - const bx = b[0]; const by = b[1]; const 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) { - const ax = a[0]; - const ay = a[1]; - const 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; - - const r = GLMAT_RANDOM() * 2.0 * Math.PI; - const z = (GLMAT_RANDOM() * 2.0) - 1.0; - const 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) { - const x = a[0]; const y = a[1]; const 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) { - const x = a[0]; const y = a[1]; const 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 - - const x = a[0]; const y = a[1]; const z = a[2]; - const qx = q[0]; const qy = q[1]; const qz = q[2]; const qw = q[3]; - - // calculate quat * vec - const ix = qw * x + qy * z - qz * y; - const iy = qw * y + qz * x - qx * z; - const iz = qw * z + qx * y - qy * x; - const 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 () { - const vec = vec3.create(); - - return function (a, stride, offset, count, fn, arg) { - let 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 - */ - - const vec4 = {}; - - /** - * Creates a new, empty vec4 - * - * @returns {vec4} a new 4D vector - */ - vec4.create = function () { - const 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) { - const 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) { - const 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) { - const x = b[0] - a[0]; - const y = b[1] - a[1]; - const z = b[2] - a[2]; - const 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) { - const x = b[0] - a[0]; - const y = b[1] - a[1]; - const z = b[2] - a[2]; - const 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) { - const x = a[0]; - const y = a[1]; - const z = a[2]; - const 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) { - const x = a[0]; - const y = a[1]; - const z = a[2]; - const 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) { - const x = a[0]; - const y = a[1]; - const z = a[2]; - const w = a[3]; - let 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) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const 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) { - const x = a[0]; const y = a[1]; const z = a[2]; const 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) { - const x = a[0]; const y = a[1]; const z = a[2]; - const qx = q[0]; const qy = q[1]; const qz = q[2]; const qw = q[3]; - - // calculate quat * vec - const ix = qw * x + qy * z - qz * y; - const iy = qw * y + qz * x - qx * z; - const iz = qw * z + qx * y - qy * x; - const 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 () { - const vec = vec4.create(); - - return function (a, stride, offset, count, fn, arg) { - let 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 - */ - - const mat2 = {}; - - /** - * Creates a new identity mat2 - * - * @returns {mat2} a new 2x2 matrix - */ - mat2.create = function () { - const 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) { - const 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) { - const 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) { - const a0 = a[0]; const a1 = a[1]; const a2 = a[2]; const a3 = a[3]; - - // Calculate the determinant - let 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 - const 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) { - const a0 = a[0]; const a1 = a[1]; const a2 = a[2]; const a3 = a[3]; - const b0 = b[0]; const b1 = b[1]; const b2 = b[2]; const 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) { - const a0 = a[0]; const a1 = a[1]; const a2 = a[2]; const a3 = a[3]; - const s = Math.sin(rad); - const 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) { - const a0 = a[0]; const a1 = a[1]; const a2 = a[2]; const a3 = a[3]; - const v0 = v[0]; const 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. - */ - - const mat2d = {}; - - /** - * Creates a new identity mat2d - * - * @returns {mat2d} a new 2x3 matrix - */ - mat2d.create = function () { - const 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) { - const 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) { - const aa = a[0]; const ab = a[1]; const ac = a[2]; const ad = a[3]; - const atx = a[4]; const aty = a[5]; - - let 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) { - const aa = a[0]; const ab = a[1]; const ac = a[2]; const ad = a[3]; - const atx = a[4]; const aty = a[5]; - const ba = b[0]; const bb = b[1]; const bc = b[2]; const bd = b[3]; - const btx = b[4]; const 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) { - const aa = a[0]; - const ab = a[1]; - const ac = a[2]; - const ad = a[3]; - const atx = a[4]; - const aty = a[5]; - const st = Math.sin(rad); - const 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) { - const vx = v[0]; const 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 - */ - - const mat3 = {}; - - /** - * Creates a new identity mat3 - * - * @returns {mat3} a new 3x3 matrix - */ - mat3.create = function () { - const 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) { - const 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) { - const a01 = a[1]; const a02 = a[2]; const 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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; - const a10 = a[3]; const a11 = a[4]; const a12 = a[5]; - const a20 = a[6]; const a21 = a[7]; const a22 = a[8]; - - const b01 = a22 * a11 - a12 * a21; - const b11 = -a22 * a10 + a12 * a20; - const b21 = a21 * a10 - a11 * a20; - - // Calculate the determinant - let det = a00 * b01 + a01 * b11 + a02 * b21; - - if (!det) { - return null; - } - det = 1.0 / det; - - out[0] = b01 * det; - out[1] = (-a22 * a01 + a02 * a21) * det; - out[2] = (a12 * a01 - a02 * a11) * det; - out[3] = b11 * det; - out[4] = (a22 * a00 - a02 * a20) * det; - out[5] = (-a12 * a00 + a02 * a10) * det; - out[6] = b21 * det; - out[7] = (-a21 * a00 + a01 * a20) * det; - out[8] = (a11 * a00 - a01 * a10) * det; - return out; - }; - - /** - * Calculates the adjugate of a mat3 - * - * @param {mat3} out the receiving matrix - * @param {mat3} a the source matrix - * @returns {mat3} out - */ - mat3.adjoint = function (out, a) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; - const a10 = a[3]; const a11 = a[4]; const a12 = a[5]; - const a20 = a[6]; const a21 = a[7]; const 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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; - const a10 = a[3]; const a11 = a[4]; const a12 = a[5]; - const a20 = a[6]; const a21 = a[7]; const 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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; - const a10 = a[3]; const a11 = a[4]; const a12 = a[5]; - const a20 = a[6]; const a21 = a[7]; const a22 = a[8]; - - const b00 = b[0]; const b01 = b[1]; const b02 = b[2]; - const b10 = b[3]; const b11 = b[4]; const b12 = b[5]; - const b20 = b[6]; const b21 = b[7]; const 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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; - const a10 = a[3]; const a11 = a[4]; const a12 = a[5]; - const a20 = a[6]; const a21 = a[7]; const a22 = a[8]; - const x = v[0]; const 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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; - const a10 = a[3]; const a11 = a[4]; const a12 = a[5]; - const a20 = a[6]; const a21 = a[7]; const a22 = a[8]; - - const s = Math.sin(rad); - const 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) { - const x = v[0]; const 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) { - const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - - const xx = x * x2; - const xy = x * y2; - const xz = x * z2; - const yy = y * y2; - const yz = y * z2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const 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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; const a03 = a[3]; - const a10 = a[4]; const a11 = a[5]; const a12 = a[6]; const a13 = a[7]; - const a20 = a[8]; const a21 = a[9]; const a22 = a[10]; const a23 = a[11]; - const a30 = a[12]; const a31 = a[13]; const a32 = a[14]; const a33 = a[15]; - - const b00 = a00 * a11 - a01 * a10; - const b01 = a00 * a12 - a02 * a10; - const b02 = a00 * a13 - a03 * a10; - const b03 = a01 * a12 - a02 * a11; - const b04 = a01 * a13 - a03 * a11; - const b05 = a02 * a13 - a03 * a12; - const b06 = a20 * a31 - a21 * a30; - const b07 = a20 * a32 - a22 * a30; - const b08 = a20 * a33 - a23 * a30; - const b09 = a21 * a32 - a22 * a31; - const b10 = a21 * a33 - a23 * a31; - const b11 = a22 * a33 - a23 * a32; - - // Calculate the determinant - let det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; - - if (!det) { - return null; - } - det = 1.0 / det; - - out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det; - out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det; - out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det; - - out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det; - out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det; - out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det; - - out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det; - out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det; - out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det; - - return out; - }; - - /** - * 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 - */ - - const mat4 = {}; - - /** - * Creates a new identity mat4 - * - * @returns {mat4} a new 4x4 matrix - */ - mat4.create = function () { - const 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) { - const 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) { - const a01 = a[1]; const a02 = a[2]; const a03 = a[3]; - const a12 = a[6]; const a13 = a[7]; - const 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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; const a03 = a[3]; - const a10 = a[4]; const a11 = a[5]; const a12 = a[6]; const a13 = a[7]; - const a20 = a[8]; const a21 = a[9]; const a22 = a[10]; const a23 = a[11]; - const a30 = a[12]; const a31 = a[13]; const a32 = a[14]; const a33 = a[15]; - - const b00 = a00 * a11 - a01 * a10; - const b01 = a00 * a12 - a02 * a10; - const b02 = a00 * a13 - a03 * a10; - const b03 = a01 * a12 - a02 * a11; - const b04 = a01 * a13 - a03 * a11; - const b05 = a02 * a13 - a03 * a12; - const b06 = a20 * a31 - a21 * a30; - const b07 = a20 * a32 - a22 * a30; - const b08 = a20 * a33 - a23 * a30; - const b09 = a21 * a32 - a22 * a31; - const b10 = a21 * a33 - a23 * a31; - const b11 = a22 * a33 - a23 * a32; - - // Calculate the determinant - let det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; - - if (!det) { - return null; - } - det = 1.0 / det; - - out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det; - out[1] = (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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; const a03 = a[3]; - const a10 = a[4]; const a11 = a[5]; const a12 = a[6]; const a13 = a[7]; - const a20 = a[8]; const a21 = a[9]; const a22 = a[10]; const a23 = a[11]; - const a30 = a[12]; const a31 = a[13]; const a32 = a[14]; const 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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; const a03 = a[3]; - const a10 = a[4]; const a11 = a[5]; const a12 = a[6]; const a13 = a[7]; - const a20 = a[8]; const a21 = a[9]; const a22 = a[10]; const a23 = a[11]; - const a30 = a[12]; const a31 = a[13]; const a32 = a[14]; const a33 = a[15]; - - const b00 = a00 * a11 - a01 * a10; - const b01 = a00 * a12 - a02 * a10; - const b02 = a00 * a13 - a03 * a10; - const b03 = a01 * a12 - a02 * a11; - const b04 = a01 * a13 - a03 * a11; - const b05 = a02 * a13 - a03 * a12; - const b06 = a20 * a31 - a21 * a30; - const b07 = a20 * a32 - a22 * a30; - const b08 = a20 * a33 - a23 * a30; - const b09 = a21 * a32 - a22 * a31; - const b10 = a21 * a33 - a23 * a31; - const 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) { - const a00 = a[0]; const a01 = a[1]; const a02 = a[2]; const a03 = a[3]; - const a10 = a[4]; const a11 = a[5]; const a12 = a[6]; const a13 = a[7]; - const a20 = a[8]; const a21 = a[9]; const a22 = a[10]; const a23 = a[11]; - const a30 = a[12]; const a31 = a[13]; const a32 = a[14]; const a33 = a[15]; - - // Cache only the current line of the second matrix - let b0 = b[0]; let b1 = b[1]; let b2 = b[2]; let 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) { - const x = v[0]; const y = v[1]; const z = v[2]; - let a00; let a01; let a02; let a03; - let a10; let a11; let a12; let a13; - let a20; let a21; let a22; let 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) { - const x = v[0]; const y = v[1]; const 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) { - let x = axis[0]; let y = axis[1]; let z = axis[2]; - let len = Math.sqrt(x * x + y * y + z * z); - let s; let c; let t; - let a00; let a01; let a02; let a03; - let a10; let a11; let a12; let a13; - let a20; let a21; let a22; let a23; - let b00; let b01; let b02; - let b10; let b11; let b12; - let b20; let b21; let 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) { - const s = Math.sin(rad); - const c = Math.cos(rad); - const a10 = a[4]; - const a11 = a[5]; - const a12 = a[6]; - const a13 = a[7]; - const a20 = a[8]; - const a21 = a[9]; - const a22 = a[10]; - const 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) { - const s = Math.sin(rad); - const c = Math.cos(rad); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a20 = a[8]; - const a21 = a[9]; - const a22 = a[10]; - const 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) { - const s = Math.sin(rad); - const c = Math.cos(rad); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4]; - const a11 = a[5]; - const a12 = a[6]; - const 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 - const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - - const xx = x * x2; - const xy = x * y2; - const xz = x * z2; - const yy = y * y2; - const yz = y * z2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const 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) { - const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - - const xx = x * x2; - const xy = x * y2; - const xz = x * z2; - const yy = y * y2; - const yz = y * z2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const 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) { - const rl = 1 / (right - left); - const tb = 1 / (top - bottom); - const 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) { - const f = 1.0 / Math.tan(fovy / 2); - const 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) { - const lr = 1 / (left - right); - const bt = 1 / (bottom - top); - const 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) { - let x0; let x1; let x2; let y0; let y1; let y2; let z0; let z1; let z2; let len; - const eyex = eye[0]; - const eyey = eye[1]; - const eyez = eye[2]; - const upx = up[0]; - const upy = up[1]; - const upz = up[2]; - const centerx = center[0]; - const centery = center[1]; - const 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 - */ - - const quat = {}; - - /** - * Creates a new identity quat - * - * @returns {quat} a new quaternion - */ - quat.create = function () { - const 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 () { - const tmpvec3 = vec3.create(); - const xUnitVec3 = vec3.fromValues(1, 0, 0); - const yUnitVec3 = vec3.fromValues(0, 1, 0); - - return function (out, a, b) { - const 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 () { - const 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; - const 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) { - const ax = a[0]; const ay = a[1]; const az = a[2]; const aw = a[3]; - const bx = b[0]; const by = b[1]; const bz = b[2]; const 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; - - const ax = a[0]; const ay = a[1]; const az = a[2]; const aw = a[3]; - const bx = Math.sin(rad); const 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; - - const ax = a[0]; const ay = a[1]; const az = a[2]; const aw = a[3]; - const by = Math.sin(rad); const 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; - - const ax = a[0]; const ay = a[1]; const az = a[2]; const aw = a[3]; - const bz = Math.sin(rad); const 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) { - const x = a[0]; const y = a[1]; const 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 - - const ax = a[0]; const ay = a[1]; const az = a[2]; const aw = a[3]; - let bx = b[0]; let by = b[1]; let bz = b[2]; let bw = b[3]; - - let 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) { - const a0 = a[0]; const a1 = a[1]; const a2 = a[2]; const a3 = a[3]; - const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; - const 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 - - const 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". - const fTrace = m[0] + m[4] + m[8]; - let 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 - let i = 0; - if (m[4] > m[0]) { i = 1; } - if (m[8] > m[i * 3 + i]) { i = 2; } - const j = s_iNext[i]; - const 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); -})(this); diff --git a/client/public/brick-renderer/glm/common.js b/client/public/brick-renderer/glm/common.js new file mode 100644 index 0000000..91fed57 --- /dev/null +++ b/client/public/brick-renderer/glm/common.js @@ -0,0 +1,50 @@ +/** + * Common utilities + * @module glMatrix + */ +// Configuration Constants +export var EPSILON = 0.000001; +export var ARRAY_TYPE = typeof Float32Array !== 'undefined' ? Float32Array : Array; +export var RANDOM = Math.random; +/** + * Sets the type of array used when creating new vectors and matrices + * + * @param {Float32ArrayConstructor | ArrayConstructor} type Array type, such as Float32Array or Array + */ + +export function setMatrixArrayType(type) { + ARRAY_TYPE = type; +} +var degree = Math.PI / 180; +/** + * Convert Degree To Radian + * + * @param {Number} a Angle in Degrees + */ + +export function toRadian(a) { + return a * degree; +} +/** + * Tests whether or not the arguments have approximately the same value, within an absolute + * or relative tolerance of glMatrix.EPSILON (an absolute tolerance is used for values less + * than or equal to 1.0, and a relative tolerance is used for larger values) + * + * @param {Number} a The first number to test. + * @param {Number} b The second number to test. + * @returns {Boolean} True if the numbers are approximately equal, false otherwise. + */ + +export function equals(a, b) { + return Math.abs(a - b) <= EPSILON * Math.max(1.0, Math.abs(a), Math.abs(b)); +} +if (!Math.hypot) Math.hypot = function () { + var y = 0, + i = arguments.length; + + while (i--) { + y += arguments[i] * arguments[i]; + } + + return Math.sqrt(y); +}; \ No newline at end of file diff --git a/client/public/brick-renderer/glm/glm.mjs b/client/public/brick-renderer/glm/glm.mjs new file mode 100644 index 0000000..e89dffe --- /dev/null +++ b/client/public/brick-renderer/glm/glm.mjs @@ -0,0 +1,11 @@ +import * as glMatrix from "./common.js"; +import * as mat2 from "./mat2.js"; +import * as mat2d from "./mat2d.js"; +import * as mat3 from "./mat3.js"; +import * as mat4 from "./mat4.js"; +import * as quat from "./quat.js"; +import * as quat2 from "./quat2.js"; +import * as vec2 from "./vec2.js"; +import * as vec3 from "./vec3.js"; +import * as vec4 from "./vec4.js"; +export { glMatrix, mat2, mat2d, mat3, mat4, quat, quat2, vec2, vec3, vec4 }; \ No newline at end of file diff --git a/client/public/brick-renderer/glm/mat2.js b/client/public/brick-renderer/glm/mat2.js new file mode 100644 index 0000000..61b6698 --- /dev/null +++ b/client/public/brick-renderer/glm/mat2.js @@ -0,0 +1,432 @@ +import * as glMatrix from "./common.js"; +/** + * 2x2 Matrix + * @module mat2 + */ + +/** + * Creates a new identity mat2 + * + * @returns {mat2} a new 2x2 matrix + */ + +export function create() { + var out = new glMatrix.ARRAY_TYPE(4); + + if (glMatrix.ARRAY_TYPE != Float32Array) { + out[1] = 0; + out[2] = 0; + } + + out[0] = 1; + out[3] = 1; + return out; +} +/** + * Creates a new mat2 initialized with values from an existing matrix + * + * @param {ReadonlyMat2} a matrix to clone + * @returns {mat2} a new 2x2 matrix + */ + +export function clone(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 {ReadonlyMat2} a the source matrix + * @returns {mat2} out + */ + +export function copy(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 + */ + +export function identity(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 + */ + +export function fromValues(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 + */ + +export function set(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 {ReadonlyMat2} a the source matrix + * @returns {mat2} out + */ + +export function transpose(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 {ReadonlyMat2} a the source matrix + * @returns {mat2} out + */ + +export function invert(out, a) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3]; // Calculate the determinant + + var 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 {ReadonlyMat2} a the source matrix + * @returns {mat2} out + */ + +export function adjoint(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 {ReadonlyMat2} a the source matrix + * @returns {Number} determinant of a + */ + +export function determinant(a) { + return a[0] * a[3] - a[2] * a[1]; +} +/** + * Multiplies two mat2's + * + * @param {mat2} out the receiving matrix + * @param {ReadonlyMat2} a the first operand + * @param {ReadonlyMat2} b the second operand + * @returns {mat2} out + */ + +export function multiply(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; +} +/** + * Rotates a mat2 by the given angle + * + * @param {mat2} out the receiving matrix + * @param {ReadonlyMat2} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2} out + */ + +export function rotate(out, a, rad) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3]; + var s = Math.sin(rad); + var 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 {ReadonlyMat2} a the matrix to rotate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat2} out + **/ + +export function scale(out, a, v) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3]; + var 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 + */ + +export function fromRotation(out, rad) { + var s = Math.sin(rad); + var 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 {ReadonlyVec2} v Scaling vector + * @returns {mat2} out + */ + +export function fromScaling(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 {ReadonlyMat2} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + +export function str(a) { + return "mat2(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ")"; +} +/** + * Returns Frobenius norm of a mat2 + * + * @param {ReadonlyMat2} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + +export function frob(a) { + return Math.hypot(a[0], a[1], a[2], a[3]); +} +/** + * Returns L, D and U matrices (Lower triangular, Diagonal and Upper triangular) by factorizing the input matrix + * @param {ReadonlyMat2} L the lower triangular matrix + * @param {ReadonlyMat2} D the diagonal matrix + * @param {ReadonlyMat2} U the upper triangular matrix + * @param {ReadonlyMat2} a the input matrix to factorize + */ + +export function LDU(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 {ReadonlyMat2} a the first operand + * @param {ReadonlyMat2} b the second operand + * @returns {mat2} out + */ + +export function add(out, a, b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + return out; +} +/** + * Subtracts matrix b from matrix a + * + * @param {mat2} out the receiving matrix + * @param {ReadonlyMat2} a the first operand + * @param {ReadonlyMat2} b the second operand + * @returns {mat2} out + */ + +export function subtract(out, a, b) { + out[0] = a[0] - b[0]; + out[1] = a[1] - b[1]; + out[2] = a[2] - b[2]; + out[3] = a[3] - b[3]; + return out; +} +/** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {ReadonlyMat2} a The first matrix. + * @param {ReadonlyMat2} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function exactEquals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; +} +/** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat2} a The first matrix. + * @param {ReadonlyMat2} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function equals(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 {ReadonlyMat2} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat2} out + */ + +export function multiplyScalar(out, a, b) { + out[0] = a[0] * b; + out[1] = a[1] * b; + out[2] = a[2] * b; + out[3] = a[3] * b; + 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 {ReadonlyMat2} a the first operand + * @param {ReadonlyMat2} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat2} out + */ + +export function multiplyScalarAndAdd(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; +} +/** + * Alias for {@link mat2.multiply} + * @function + */ + +export var mul = multiply; +/** + * Alias for {@link mat2.subtract} + * @function + */ + +export var sub = subtract; \ No newline at end of file diff --git a/client/public/brick-renderer/glm/mat2d.js b/client/public/brick-renderer/glm/mat2d.js new file mode 100644 index 0000000..ce6988c --- /dev/null +++ b/client/public/brick-renderer/glm/mat2d.js @@ -0,0 +1,486 @@ +import * as glMatrix from "./common.js"; +/** + * 2x3 Matrix + * @module 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. + */ + +/** + * Creates a new identity mat2d + * + * @returns {mat2d} a new 2x3 matrix + */ + +export function create() { + var out = new glMatrix.ARRAY_TYPE(6); + + if (glMatrix.ARRAY_TYPE != Float32Array) { + out[1] = 0; + out[2] = 0; + out[4] = 0; + out[5] = 0; + } + + out[0] = 1; + out[3] = 1; + return out; +} +/** + * Creates a new mat2d initialized with values from an existing matrix + * + * @param {ReadonlyMat2d} a matrix to clone + * @returns {mat2d} a new 2x3 matrix + */ + +export function clone(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 {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + +export function copy(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + return out; +} +/** + * Set a mat2d to the identity matrix + * + * @param {mat2d} out the receiving matrix + * @returns {mat2d} out + */ + +export function identity(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 + */ + +export function fromValues(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 + */ + +export function set(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 {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + +export function invert(out, a) { + var aa = a[0], + ab = a[1], + ac = a[2], + ad = a[3]; + var 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 {ReadonlyMat2d} a the source matrix + * @returns {Number} determinant of a + */ + +export function determinant(a) { + return a[0] * a[3] - a[1] * a[2]; +} +/** + * Multiplies two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + +export function multiply(out, 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]; + 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; +} +/** + * Rotates a mat2d by the given angle + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + +export function rotate(out, a, rad) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var s = Math.sin(rad); + var 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 {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat2d} out + **/ + +export function scale(out, a, v) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var 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 {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to translate the matrix by + * @returns {mat2d} out + **/ + +export function translate(out, a, v) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var 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 + */ + +export function fromRotation(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 {ReadonlyVec2} v Scaling vector + * @returns {mat2d} out + */ + +export function fromScaling(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 {ReadonlyVec2} v Translation vector + * @returns {mat2d} out + */ + +export function fromTranslation(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 {ReadonlyMat2d} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + +export function str(a) { + return "mat2d(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ", " + a[4] + ", " + a[5] + ")"; +} +/** + * Returns Frobenius norm of a mat2d + * + * @param {ReadonlyMat2d} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + +export function frob(a) { + return Math.hypot(a[0], a[1], a[2], a[3], a[4], a[5], 1); +} +/** + * Adds two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + +export function add(out, a, b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; + out[5] = a[5] + b[5]; + return out; +} +/** + * Subtracts matrix b from matrix a + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + +export function subtract(out, a, b) { + out[0] = a[0] - b[0]; + out[1] = a[1] - b[1]; + out[2] = a[2] - b[2]; + out[3] = a[3] - b[3]; + out[4] = a[4] - b[4]; + out[5] = a[5] - b[5]; + return out; +} +/** + * Multiply each element of the matrix by a scalar. + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat2d} out + */ + +export function multiplyScalar(out, a, b) { + out[0] = a[0] * b; + out[1] = a[1] * b; + out[2] = a[2] * b; + out[3] = a[3] * b; + out[4] = a[4] * b; + out[5] = a[5] * b; + 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 {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat2d} out + */ + +export function multiplyScalarAndAdd(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 {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function exactEquals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5]; +} +/** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function equals(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)); +} +/** + * Alias for {@link mat2d.multiply} + * @function + */ + +export var mul = multiply; +/** + * Alias for {@link mat2d.subtract} + * @function + */ + +export var sub = subtract; \ No newline at end of file diff --git a/client/public/brick-renderer/glm/mat3.js b/client/public/brick-renderer/glm/mat3.js new file mode 100644 index 0000000..13974ab --- /dev/null +++ b/client/public/brick-renderer/glm/mat3.js @@ -0,0 +1,778 @@ +import * as glMatrix from "./common.js"; +/** + * 3x3 Matrix + * @module mat3 + */ + +/** + * Creates a new identity mat3 + * + * @returns {mat3} a new 3x3 matrix + */ + +export function create() { + var out = new glMatrix.ARRAY_TYPE(9); + + if (glMatrix.ARRAY_TYPE != Float32Array) { + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[5] = 0; + out[6] = 0; + out[7] = 0; + } + + out[0] = 1; + out[4] = 1; + out[8] = 1; + return out; +} +/** + * Copies the upper-left 3x3 values into the given mat3. + * + * @param {mat3} out the receiving 3x3 matrix + * @param {ReadonlyMat4} a the source 4x4 matrix + * @returns {mat3} out + */ + +export function fromMat4(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[4]; + out[4] = a[5]; + out[5] = a[6]; + out[6] = a[8]; + out[7] = a[9]; + out[8] = a[10]; + return out; +} +/** + * Creates a new mat3 initialized with values from an existing matrix + * + * @param {ReadonlyMat3} a matrix to clone + * @returns {mat3} a new 3x3 matrix + */ + +export function clone(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 {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + +export function copy(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; +} +/** + * Create a new mat3 with the given values + * + * @param {Number} m00 Component in column 0, row 0 position (index 0) + * @param {Number} m01 Component in column 0, row 1 position (index 1) + * @param {Number} m02 Component in column 0, row 2 position (index 2) + * @param {Number} m10 Component in column 1, row 0 position (index 3) + * @param {Number} m11 Component in column 1, row 1 position (index 4) + * @param {Number} m12 Component in column 1, row 2 position (index 5) + * @param {Number} m20 Component in column 2, row 0 position (index 6) + * @param {Number} m21 Component in column 2, row 1 position (index 7) + * @param {Number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} A new mat3 + */ + +export function fromValues(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 + */ + +export function set(out, m00, m01, m02, m10, m11, m12, m20, m21, m22) { + out[0] = m00; + out[1] = m01; + out[2] = m02; + out[3] = m10; + out[4] = m11; + out[5] = m12; + out[6] = m20; + out[7] = m21; + out[8] = m22; + return out; +} +/** + * Set a mat3 to the identity matrix + * + * @param {mat3} out the receiving matrix + * @returns {mat3} out + */ + +export function identity(out) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = 1; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; +} +/** + * Transpose the values of a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + +export function transpose(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 {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + +export function invert(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + var b01 = a22 * a11 - a12 * a21; + var b11 = -a22 * a10 + a12 * a20; + var b21 = a21 * a10 - a11 * a20; // Calculate the determinant + + var 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 {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + +export function adjoint(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var 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 {ReadonlyMat3} a the source matrix + * @returns {Number} determinant of a + */ + +export function determinant(a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var 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 {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + +export function multiply(out, a, b) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + var b00 = b[0], + b01 = b[1], + b02 = b[2]; + var b10 = b[3], + b11 = b[4], + b12 = b[5]; + var b20 = b[6], + b21 = b[7], + b22 = b[8]; + out[0] = b00 * a00 + b01 * a10 + b02 * a20; + out[1] = b00 * a01 + b01 * a11 + b02 * a21; + out[2] = b00 * a02 + b01 * a12 + b02 * a22; + out[3] = b10 * a00 + b11 * a10 + b12 * a20; + out[4] = b10 * a01 + b11 * a11 + b12 * a21; + out[5] = b10 * a02 + b11 * a12 + b12 * a22; + out[6] = b20 * a00 + b21 * a10 + b22 * a20; + out[7] = b20 * a01 + b21 * a11 + b22 * a21; + out[8] = b20 * a02 + b21 * a12 + b22 * a22; + return out; +} +/** + * Translate a mat3 by the given vector + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to translate + * @param {ReadonlyVec2} v vector to translate by + * @returns {mat3} out + */ + +export function translate(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 {ReadonlyMat3} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + +export function rotate(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 {ReadonlyMat3} a the matrix to rotate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat3} out + **/ + +export function scale(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 {ReadonlyVec2} v Translation vector + * @returns {mat3} out + */ + +export function fromTranslation(out, v) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = 1; + out[5] = 0; + out[6] = v[0]; + out[7] = v[1]; + out[8] = 1; + return out; +} +/** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.rotate(dest, dest, rad); + * + * @param {mat3} out mat3 receiving operation result + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + +export function fromRotation(out, rad) { + 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 {ReadonlyVec2} v Scaling vector + * @returns {mat3} out + */ + +export function fromScaling(out, v) { + out[0] = v[0]; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = v[1]; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; +} +/** + * Copies the values from a mat2d into a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to copy + * @returns {mat3} out + **/ + +export function fromMat2d(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = 0; + out[3] = a[2]; + out[4] = a[3]; + out[5] = 0; + out[6] = a[4]; + out[7] = a[5]; + out[8] = 1; + return out; +} +/** + * Calculates a 3x3 matrix from the given quaternion + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyQuat} q Quaternion to create matrix from + * + * @returns {mat3} out + */ + +export function fromQuat(out, q) { + var x = q[0], + y = q[1], + z = q[2], + w = q[3]; + var x2 = x + x; + var y2 = y + y; + var z2 = z + z; + var xx = x * x2; + var yx = y * x2; + var yy = y * y2; + var zx = z * x2; + var zy = z * y2; + var zz = z * z2; + var wx = w * x2; + var wy = w * y2; + var 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 {ReadonlyMat4} a Mat4 to derive the normal matrix from + * + * @returns {mat3} out + */ + +export function normalFromMat4(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a03 = a[3]; + var a10 = a[4], + a11 = a[5], + a12 = a[6], + a13 = a[7]; + var a20 = a[8], + a21 = a[9], + a22 = a[10], + a23 = a[11]; + var a30 = a[12], + a31 = a[13], + a32 = a[14], + a33 = a[15]; + var b00 = a00 * a11 - a01 * a10; + var b01 = a00 * a12 - a02 * a10; + var b02 = a00 * a13 - a03 * a10; + var b03 = a01 * a12 - a02 * a11; + var b04 = a01 * a13 - a03 * a11; + var b05 = a02 * a13 - a03 * a12; + var b06 = a20 * a31 - a21 * a30; + var b07 = a20 * a32 - a22 * a30; + var b08 = a20 * a33 - a23 * a30; + var b09 = a21 * a32 - a22 * a31; + var b10 = a21 * a33 - a23 * a31; + var b11 = a22 * a33 - a23 * a32; // Calculate the determinant + + var det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det; + out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det; + out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det; + out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det; + out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det; + out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det; + out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det; + out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det; + out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det; + return out; +} +/** + * Generates a 2D projection matrix with the given bounds + * + * @param {mat3} out mat3 frustum matrix will be written into + * @param {number} width Width of your gl context + * @param {number} height Height of gl context + * @returns {mat3} out + */ + +export function projection(out, width, height) { + out[0] = 2 / width; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = -2 / height; + out[5] = 0; + out[6] = -1; + out[7] = 1; + out[8] = 1; + return out; +} +/** + * Returns a string representation of a mat3 + * + * @param {ReadonlyMat3} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + +export function str(a) { + return "mat3(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ", " + a[4] + ", " + a[5] + ", " + a[6] + ", " + a[7] + ", " + a[8] + ")"; +} +/** + * Returns Frobenius norm of a mat3 + * + * @param {ReadonlyMat3} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + +export function frob(a) { + return Math.hypot(a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8]); +} +/** + * Adds two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + +export function add(out, a, b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; + out[5] = a[5] + b[5]; + out[6] = a[6] + b[6]; + out[7] = a[7] + b[7]; + out[8] = a[8] + b[8]; + return out; +} +/** + * Subtracts matrix b from matrix a + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + +export function subtract(out, a, b) { + out[0] = a[0] - b[0]; + out[1] = a[1] - b[1]; + out[2] = a[2] - b[2]; + out[3] = a[3] - b[3]; + out[4] = a[4] - b[4]; + out[5] = a[5] - b[5]; + out[6] = a[6] - b[6]; + out[7] = a[7] - b[7]; + out[8] = a[8] - b[8]; + return out; +} +/** + * Multiply each element of the matrix by a scalar. + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat3} out + */ + +export function multiplyScalar(out, a, b) { + out[0] = a[0] * b; + out[1] = a[1] * b; + out[2] = a[2] * b; + out[3] = a[3] * b; + out[4] = a[4] * b; + out[5] = a[5] * b; + out[6] = a[6] * b; + out[7] = a[7] * b; + out[8] = a[8] * b; + return out; +} +/** + * Adds two mat3's after multiplying each element of the second operand by a scalar value. + * + * @param {mat3} out the receiving vector + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat3} out + */ + +export function multiplyScalarAndAdd(out, a, b, scale) { + out[0] = a[0] + b[0] * scale; + out[1] = a[1] + b[1] * scale; + 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 {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function exactEquals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5] && a[6] === b[6] && a[7] === b[7] && a[8] === b[8]; +} +/** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function equals(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 = b[6], + b7 = b[7], + b8 = b[8]; + return Math.abs(a0 - b0) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3)) && Math.abs(a4 - b4) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a4), Math.abs(b4)) && Math.abs(a5 - b5) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a5), Math.abs(b5)) && Math.abs(a6 - b6) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a6), Math.abs(b6)) && Math.abs(a7 - b7) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a7), Math.abs(b7)) && Math.abs(a8 - b8) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a8), Math.abs(b8)); +} +/** + * Alias for {@link mat3.multiply} + * @function + */ + +export var mul = multiply; +/** + * Alias for {@link mat3.subtract} + * @function + */ + +export var sub = subtract; \ No newline at end of file diff --git a/client/public/brick-renderer/glm/mat4.js b/client/public/brick-renderer/glm/mat4.js new file mode 100644 index 0000000..edb7b76 --- /dev/null +++ b/client/public/brick-renderer/glm/mat4.js @@ -0,0 +1,1910 @@ +import * as glMatrix from "./common.js"; +/** + * 4x4 Matrix