// Copyright 2013 The Closure Library Authors. All Rights Reserved. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS-IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. ////////////////////////// NOTE ABOUT EDITING THIS FILE /////////////////////// // // // Any edits to this file must be applied to vec2f.js by running: // // swap_type.sh vec2d.js > vec2f.js // // // ////////////////////////// NOTE ABOUT EDITING THIS FILE /////////////////////// /** * @fileoverview Provides functions for operating on 2 element double (64bit) * vectors. * * The last parameter will typically be the output object and an object * can be both an input and output parameter to all methods except where * noted. * * See the README for notes about the design and structure of the API * (especially related to performance). * */ goog.provide('goog.vec.vec2d'); goog.provide('goog.vec.vec2d.Type'); /** @suppress {extraRequire} */ goog.require('goog.vec'); /** @typedef {goog.vec.Float64} */ goog.vec.vec2d.Type; /** * Creates a vec2d with all elements initialized to zero. * * @return {!goog.vec.vec2d.Type} The new vec2d. */ goog.vec.vec2d.create = function() { return new Float64Array(2); }; /** * Creates a new vec2d initialized with the value from the given array. * * @param {!Array} vec The source 2 element array. * @return {!goog.vec.vec2d.Type} The new vec2d. */ goog.vec.vec2d.createFromArray = function(vec) { var newVec = goog.vec.vec2d.create(); goog.vec.vec2d.setFromArray(newVec, vec); return newVec; }; /** * Creates a new vec2d initialized with the supplied values. * * @param {number} v0 The value for element at index 0. * @param {number} v1 The value for element at index 1. * @return {!goog.vec.vec2d.Type} The new vector. */ goog.vec.vec2d.createFromValues = function(v0, v1) { var vec = goog.vec.vec2d.create(); goog.vec.vec2d.setFromValues(vec, v0, v1); return vec; }; /** * Creates a clone of the given vec2d. * * @param {!goog.vec.vec2d.Type} vec The source vec2d. * @return {!goog.vec.vec2d.Type} The new cloned vec2d. */ goog.vec.vec2d.clone = function(vec) { var newVec = goog.vec.vec2d.create(); goog.vec.vec2d.setFromVec2d(newVec, vec); return newVec; }; /** * Initializes the vector with the given values. * * @param {!goog.vec.vec2d.Type} vec The vector to receive the values. * @param {number} v0 The value for element at index 0. * @param {number} v1 The value for element at index 1. * @return {!goog.vec.vec2d.Type} Return vec so that operations can be * chained together. */ goog.vec.vec2d.setFromValues = function(vec, v0, v1) { vec[0] = v0; vec[1] = v1; return vec; }; /** * Initializes vec2d vec from vec2d src. * * @param {!goog.vec.vec2d.Type} vec The destination vector. * @param {!goog.vec.vec2d.Type} src The source vector. * @return {!goog.vec.vec2d.Type} Return vec so that operations can be * chained together. */ goog.vec.vec2d.setFromVec2d = function(vec, src) { vec[0] = src[0]; vec[1] = src[1]; return vec; }; /** * Initializes vec2d vec from vec2f src (typed as a Float32Array to * avoid circular goog.requires). * * @param {!goog.vec.vec2d.Type} vec The destination vector. * @param {Float32Array} src The source vector. * @return {!goog.vec.vec2d.Type} Return vec so that operations can be * chained together. */ goog.vec.vec2d.setFromVec2f = function(vec, src) { vec[0] = src[0]; vec[1] = src[1]; return vec; }; /** * Initializes vec2d vec from Array src. * * @param {!goog.vec.vec2d.Type} vec The destination vector. * @param {Array} src The source vector. * @return {!goog.vec.vec2d.Type} Return vec so that operations can be * chained together. */ goog.vec.vec2d.setFromArray = function(vec, src) { vec[0] = src[0]; vec[1] = src[1]; return vec; }; /** * Performs a component-wise addition of vec0 and vec1 together storing the * result into resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The first addend. * @param {!goog.vec.vec2d.Type} vec1 The second addend. * @param {!goog.vec.vec2d.Type} resultVec The vector to * receive the result. May be vec0 or vec1. * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.add = function(vec0, vec1, resultVec) { resultVec[0] = vec0[0] + vec1[0]; resultVec[1] = vec0[1] + vec1[1]; return resultVec; }; /** * Performs a component-wise subtraction of vec1 from vec0 storing the * result into resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The minuend. * @param {!goog.vec.vec2d.Type} vec1 The subtrahend. * @param {!goog.vec.vec2d.Type} resultVec The vector to * receive the result. May be vec0 or vec1. * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.subtract = function(vec0, vec1, resultVec) { resultVec[0] = vec0[0] - vec1[0]; resultVec[1] = vec0[1] - vec1[1]; return resultVec; }; /** * Multiplies each component of vec0 with the matching element of vec0 * storing the products into resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The first vector. * @param {!goog.vec.vec2d.Type} vec1 The second vector. * @param {!goog.vec.vec2d.Type} resultVec The vector to * receive the result. May be vec0. * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.componentMultiply = function(vec0, vec1, resultVec) { resultVec[0] = vec0[0] * vec1[0]; resultVec[1] = vec0[1] * vec1[1]; return resultVec; }; /** * Divides each component of vec0 with the matching element of vec0 * storing the divisor into resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The first vector. * @param {!goog.vec.vec2d.Type} vec1 The second vector. * @param {!goog.vec.vec2d.Type} resultVec The vector to * receive the result. May be vec0. * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.componentDivide = function(vec0, vec1, resultVec) { resultVec[0] = vec0[0] / vec1[0]; resultVec[1] = vec0[1] / vec1[1]; return resultVec; }; /** * Negates vec0, storing the result into resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The vector to negate. * @param {!goog.vec.vec2d.Type} resultVec The vector to * receive the result. May be vec0. * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.negate = function(vec0, resultVec) { resultVec[0] = -vec0[0]; resultVec[1] = -vec0[1]; return resultVec; }; /** * Takes the absolute value of each component of vec0 storing the result in * resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The source vector. * @param {!goog.vec.vec2d.Type} resultVec The vector to receive the result. * May be vec0. * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.abs = function(vec0, resultVec) { resultVec[0] = Math.abs(vec0[0]); resultVec[1] = Math.abs(vec0[1]); return resultVec; }; /** * Multiplies each component of vec0 with scalar storing the product into * resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The source vector. * @param {number} scalar The value to multiply with each component of vec0. * @param {!goog.vec.vec2d.Type} resultVec The vector to * receive the result. May be vec0. * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.scale = function(vec0, scalar, resultVec) { resultVec[0] = vec0[0] * scalar; resultVec[1] = vec0[1] * scalar; return resultVec; }; /** * Returns the magnitudeSquared of the given vector. * * @param {!goog.vec.vec2d.Type} vec0 The vector. * @return {number} The magnitude of the vector. */ goog.vec.vec2d.magnitudeSquared = function(vec0) { var x = vec0[0], y = vec0[1]; return x * x + y * y; }; /** * Returns the magnitude of the given vector. * * @param {!goog.vec.vec2d.Type} vec0 The vector. * @return {number} The magnitude of the vector. */ goog.vec.vec2d.magnitude = function(vec0) { var x = vec0[0], y = vec0[1]; return Math.sqrt(x * x + y * y); }; /** * Normalizes the given vector storing the result into resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The vector to normalize. * @param {!goog.vec.vec2d.Type} resultVec The vector to * receive the result. May be vec0. * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.normalize = function(vec0, resultVec) { var x = vec0[0], y = vec0[1]; var ilen = 1 / Math.sqrt(x * x + y * y); resultVec[0] = x * ilen; resultVec[1] = y * ilen; return resultVec; }; /** * Returns the scalar product of vectors vec0 and vec1. * * @param {!goog.vec.vec2d.Type} vec0 The first vector. * @param {!goog.vec.vec2d.Type} vec1 The second vector. * @return {number} The scalar product. */ goog.vec.vec2d.dot = function(vec0, vec1) { return vec0[0] * vec1[0] + vec0[1] * vec1[1]; }; /** * Returns the squared distance between two points. * * @param {!goog.vec.vec2d.Type} vec0 First point. * @param {!goog.vec.vec2d.Type} vec1 Second point. * @return {number} The squared distance between the points. */ goog.vec.vec2d.distanceSquared = function(vec0, vec1) { var x = vec0[0] - vec1[0]; var y = vec0[1] - vec1[1]; return x * x + y * y; }; /** * Returns the distance between two points. * * @param {!goog.vec.vec2d.Type} vec0 First point. * @param {!goog.vec.vec2d.Type} vec1 Second point. * @return {number} The distance between the points. */ goog.vec.vec2d.distance = function(vec0, vec1) { return Math.sqrt(goog.vec.vec2d.distanceSquared(vec0, vec1)); }; /** * Returns a unit vector pointing from one point to another. * If the input points are equal then the result will be all zeros. * * @param {!goog.vec.vec2d.Type} vec0 Origin point. * @param {!goog.vec.vec2d.Type} vec1 Target point. * @param {!goog.vec.vec2d.Type} resultVec The vector to receive the * results (may be vec0 or vec1). * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.direction = function(vec0, vec1, resultVec) { var x = vec1[0] - vec0[0]; var y = vec1[1] - vec0[1]; var d = Math.sqrt(x * x + y * y); if (d) { d = 1 / d; resultVec[0] = x * d; resultVec[1] = y * d; } else { resultVec[0] = resultVec[1] = 0; } return resultVec; }; /** * Linearly interpolate from vec0 to vec1 according to f. The value of f should * be in the range [0..1] otherwise the results are undefined. * * @param {!goog.vec.vec2d.Type} vec0 The first vector. * @param {!goog.vec.vec2d.Type} vec1 The second vector. * @param {number} f The interpolation factor. * @param {!goog.vec.vec2d.Type} resultVec The vector to receive the * results (may be vec0 or vec1). * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.lerp = function(vec0, vec1, f, resultVec) { var x = vec0[0], y = vec0[1]; resultVec[0] = (vec1[0] - x) * f + x; resultVec[1] = (vec1[1] - y) * f + y; return resultVec; }; /** * Compares the components of vec0 with the components of another vector or * scalar, storing the larger values in resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The source vector. * @param {!goog.vec.vec2d.Type|number} limit The limit vector or scalar. * @param {!goog.vec.vec2d.Type} resultVec The vector to receive the * results (may be vec0 or limit). * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.max = function(vec0, limit, resultVec) { if (goog.isNumber(limit)) { resultVec[0] = Math.max(vec0[0], limit); resultVec[1] = Math.max(vec0[1], limit); } else { resultVec[0] = Math.max(vec0[0], limit[0]); resultVec[1] = Math.max(vec0[1], limit[1]); } return resultVec; }; /** * Compares the components of vec0 with the components of another vector or * scalar, storing the smaller values in resultVec. * * @param {!goog.vec.vec2d.Type} vec0 The source vector. * @param {!goog.vec.vec2d.Type|number} limit The limit vector or scalar. * @param {!goog.vec.vec2d.Type} resultVec The vector to receive the * results (may be vec0 or limit). * @return {!goog.vec.vec2d.Type} Return resultVec so that operations can be * chained together. */ goog.vec.vec2d.min = function(vec0, limit, resultVec) { if (goog.isNumber(limit)) { resultVec[0] = Math.min(vec0[0], limit); resultVec[1] = Math.min(vec0[1], limit); } else { resultVec[0] = Math.min(vec0[0], limit[0]); resultVec[1] = Math.min(vec0[1], limit[1]); } return resultVec; }; /** * Returns true if the components of vec0 are equal to the components of vec1. * * @param {!goog.vec.vec2d.Type} vec0 The first vector. * @param {!goog.vec.vec2d.Type} vec1 The second vector. * @return {boolean} True if the vectors are equal, false otherwise. */ goog.vec.vec2d.equals = function(vec0, vec1) { return vec0.length == vec1.length && vec0[0] == vec1[0] && vec0[1] == vec1[1]; };