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href="https://www.codeandweb.com/texturepacker/phaser">Texture Packer</a></li> </ul> </li> </ul> </div> </div> <div class="row-fluid"> <div class="span12"> <div id="main"> <h1 class="page-title">Source: src/math/Math.js</h1> <section> <article> <pre class="sunlight-highlight-javascript linenums">/** * @author Richard Davey <rich@photonstorm.com> * @copyright 2016 Photon Storm Ltd. * @license {@link https://github.com/photonstorm/phaser/blob/master/license.txt|MIT License} */ /** * A collection of useful mathematical functions. * * These are normally accessed through `game.math`. * * @class Phaser.Math * @static * @see {@link Phaser.Utils} * @see {@link Phaser.ArrayUtils} */ Phaser.Math = { /** * Twice PI. * @property {number} Phaser.Math#PI2 * @default ~6.283 */ PI2: Math.PI * 2, /** * Returns a number between the `min` and `max` values. * * @method Phaser.Math#between * @param {number} min - The minimum value. Must be positive, and less than 'max'. * @param {number} max - The maximum value. Must be position, and greater than 'min'. * @return {number} A value between the range min to max. */ between: function (min, max) { return Math.floor(Math.random() * (max - min + 1) + min); }, /** * Two number are fuzzyEqual if their difference is less than epsilon. * * @method Phaser.Math#fuzzyEqual * @param {number} a - The first number to compare. * @param {number} b - The second number to compare. * @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation) * @return {boolean} True if |a-b|<epsilon */ fuzzyEqual: function (a, b, epsilon) { if (epsilon === undefined) { epsilon = 0.0001; } return Math.abs(a - b) < epsilon; }, /** * `a` is fuzzyLessThan `b` if it is less than b + epsilon. * * @method Phaser.Math#fuzzyLessThan * @param {number} a - The first number to compare. * @param {number} b - The second number to compare. * @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation) * @return {boolean} True if a<b+epsilon */ fuzzyLessThan: function (a, b, epsilon) { if (epsilon === undefined) { epsilon = 0.0001; } return a < b + epsilon; }, /** * `a` is fuzzyGreaterThan `b` if it is more than b - epsilon. * * @method Phaser.Math#fuzzyGreaterThan * @param {number} a - The first number to compare. * @param {number} b - The second number to compare. * @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation) * @return {boolean} True if a>b+epsilon */ fuzzyGreaterThan: function (a, b, epsilon) { if (epsilon === undefined) { epsilon = 0.0001; } return a > b - epsilon; }, /** * Applies a fuzzy ceil to the given value. * * @method Phaser.Math#fuzzyCeil * @param {number} val - The value to ceil. * @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation) * @return {number} ceiling(val-epsilon) */ fuzzyCeil: function (val, epsilon) { if (epsilon === undefined) { epsilon = 0.0001; } return Math.ceil(val - epsilon); }, /** * Applies a fuzzy floor to the given value. * * @method Phaser.Math#fuzzyFloor * @param {number} val - The value to floor. * @param {number} [epsilon=0.0001] - The epsilon (a small value used in the calculation) * @return {number} floor(val+epsilon) */ fuzzyFloor: function (val, epsilon) { if (epsilon === undefined) { epsilon = 0.0001; } return Math.floor(val + epsilon); }, /** * Averages all values passed to the function and returns the result. * * @method Phaser.Math#average * @params {...number} The numbers to average * @return {number} The average of all given values. */ average: function () { var sum = 0; var len = arguments.length; for (var i = 0; i < len; i++) { sum += (+arguments[i]); } return sum / len; }, /** * @method Phaser.Math#shear * @param {number} n * @return {number} n mod 1 */ shear: function (n) { return n % 1; }, /** * Snap a value to nearest grid slice, using rounding. * * Example: if you have an interval gap of 5 and a position of 12... you will snap to 10 whereas 14 will snap to 15. * * @method Phaser.Math#snapTo * @param {number} input - The value to snap. * @param {number} gap - The interval gap of the grid. * @param {number} [start] - Optional starting offset for gap. * @return {number} */ snapTo: function (input, gap, start) { if (start === undefined) { start = 0; } if (gap === 0) { return input; } input -= start; input = gap * Math.round(input / gap); return start + input; }, /** * Snap a value to nearest grid slice, using floor. * * Example: if you have an interval gap of 5 and a position of 12... you will snap to 10. * As will 14 snap to 10... but 16 will snap to 15. * * @method Phaser.Math#snapToFloor * @param {number} input - The value to snap. * @param {number} gap - The interval gap of the grid. * @param {number} [start] - Optional starting offset for gap. * @return {number} */ snapToFloor: function (input, gap, start) { if (start === undefined) { start = 0; } if (gap === 0) { return input; } input -= start; input = gap * Math.floor(input / gap); return start + input; }, /** * Snap a value to nearest grid slice, using ceil. * * Example: if you have an interval gap of 5 and a position of 12... you will snap to 15. * As will 14 will snap to 15... but 16 will snap to 20. * * @method Phaser.Math#snapToCeil * @param {number} input - The value to snap. * @param {number} gap - The interval gap of the grid. * @param {number} [start] - Optional starting offset for gap. * @return {number} */ snapToCeil: function (input, gap, start) { if (start === undefined) { start = 0; } if (gap === 0) { return input; } input -= start; input = gap * Math.ceil(input / gap); return start + input; }, /** * Round to some place comparative to a `base`, default is 10 for decimal place. * The `place` is represented by the power applied to `base` to get that place. * * e.g. 2000/7 ~= 285.714285714285714285714 ~= (bin)100011101.1011011011011011 * * roundTo(2000/7,3) === 0 * roundTo(2000/7,2) == 300 * roundTo(2000/7,1) == 290 * roundTo(2000/7,0) == 286 * roundTo(2000/7,-1) == 285.7 * roundTo(2000/7,-2) == 285.71 * roundTo(2000/7,-3) == 285.714 * roundTo(2000/7,-4) == 285.7143 * roundTo(2000/7,-5) == 285.71429 * * roundTo(2000/7,3,2) == 288 -- 100100000 * roundTo(2000/7,2,2) == 284 -- 100011100 * roundTo(2000/7,1,2) == 286 -- 100011110 * roundTo(2000/7,0,2) == 286 -- 100011110 * roundTo(2000/7,-1,2) == 285.5 -- 100011101.1 * roundTo(2000/7,-2,2) == 285.75 -- 100011101.11 * roundTo(2000/7,-3,2) == 285.75 -- 100011101.11 * roundTo(2000/7,-4,2) == 285.6875 -- 100011101.1011 * roundTo(2000/7,-5,2) == 285.71875 -- 100011101.10111 * * Note what occurs when we round to the 3rd space (8ths place), 100100000, this is to be assumed * because we are rounding 100011.1011011011011011 which rounds up. * * @method Phaser.Math#roundTo * @param {number} value - The value to round. * @param {number} place - The place to round to. * @param {number} base - The base to round in... default is 10 for decimal. * @return {number} */ roundTo: function (value, place, base) { if (place === undefined) { place = 0; } if (base === undefined) { base = 10; } var p = Math.pow(base, -place); return Math.round(value * p) / p; }, /** * @method Phaser.Math#floorTo * @param {number} value - The value to round. * @param {number} place - The place to round to. * @param {number} base - The base to round in... default is 10 for decimal. * @return {number} */ floorTo: function (value, place, base) { if (place === undefined) { place = 0; } if (base === undefined) { base = 10; } var p = Math.pow(base, -place); return Math.floor(value * p) / p; }, /** * @method Phaser.Math#ceilTo * @param {number} value - The value to round. * @param {number} place - The place to round to. * @param {number} base - The base to round in... default is 10 for decimal. * @return {number} */ ceilTo: function (value, place, base) { if (place === undefined) { place = 0; } if (base === undefined) { base = 10; } var p = Math.pow(base, -place); return Math.ceil(value * p) / p; }, /** * Find the angle of a segment from (x1, y1) -> (x2, y2). * @method Phaser.Math#angleBetween * @param {number} x1 * @param {number} y1 * @param {number} x2 * @param {number} y2 * @return {number} The angle, in radians. */ angleBetween: function (x1, y1, x2, y2) { return Math.atan2(y2 - y1, x2 - x1); }, /** * Find the angle of a segment from (x1, y1) -> (x2, y2). * Note that the difference between this method and Math.angleBetween is that this assumes the y coordinate travels * down the screen. * * @method Phaser.Math#angleBetweenY * @param {number} x1 * @param {number} y1 * @param {number} x2 * @param {number} y2 * @return {number} The angle, in radians. */ angleBetweenY: function (x1, y1, x2, y2) { return Math.atan2(x2 - x1, y2 - y1); }, /** * Find the angle of a segment from (point1.x, point1.y) -> (point2.x, point2.y). * @method Phaser.Math#angleBetweenPoints * @param {Phaser.Point} point1 * @param {Phaser.Point} point2 * @return {number} The angle, in radians. */ angleBetweenPoints: function (point1, point2) { return Math.atan2(point2.y - point1.y, point2.x - point1.x); }, /** * Find the angle of a segment from (point1.x, point1.y) -> (point2.x, point2.y). * @method Phaser.Math#angleBetweenPointsY * @param {Phaser.Point} point1 * @param {Phaser.Point} point2 * @return {number} The angle, in radians. */ angleBetweenPointsY: function (point1, point2) { return Math.atan2(point2.x - point1.x, point2.y - point1.y); }, /** * Reverses an angle. * @method Phaser.Math#reverseAngle * @param {number} angleRad - The angle to reverse, in radians. * @return {number} Returns the reverse angle, in radians. */ reverseAngle: function (angleRad) { return this.normalizeAngle(angleRad + Math.PI, true); }, /** * Normalizes an angle to the [0,2pi) range. * @method Phaser.Math#normalizeAngle * @param {number} angleRad - The angle to normalize, in radians. * @return {number} Returns the angle, fit within the [0,2pi] range, in radians. */ normalizeAngle: function (angleRad) { angleRad = angleRad % (2 * Math.PI); return angleRad >= 0 ? angleRad : angleRad + 2 * Math.PI; }, /** * Adds the given amount to the value, but never lets the value go over the specified maximum. * * @method Phaser.Math#maxAdd * @param {number} value - The value to add the amount to. * @param {number} amount - The amount to add to the value. * @param {number} max - The maximum the value is allowed to be. * @return {number} */ maxAdd: function (value, amount, max) { return Math.min(value + amount, max); }, /** * Subtracts the given amount from the value, but never lets the value go below the specified minimum. * * @method Phaser.Math#minSub * @param {number} value - The base value. * @param {number} amount - The amount to subtract from the base value. * @param {number} min - The minimum the value is allowed to be. * @return {number} The new value. */ minSub: function (value, amount, min) { return Math.max(value - amount, min); }, /** * Ensures that the value always stays between min and max, by wrapping the value around. * * If `max` is not larger than `min` the result is 0. * * @method Phaser.Math#wrap * @param {number} value - The value to wrap. * @param {number} min - The minimum the value is allowed to be. * @param {number} max - The maximum the value is allowed to be, should be larger than `min`. * @return {number} The wrapped value. */ wrap: function (value, min, max) { var range = max - min; if (range <= 0) { return 0; } var result = (value - min) % range; if (result < 0) { result += range; } return result + min; }, /** * Adds value to amount and ensures that the result always stays between 0 and max, by wrapping the value around. * * Values _must_ be positive integers, and are passed through Math.abs. See {@link Phaser.Math#wrap} for an alternative. * * @method Phaser.Math#wrapValue * @param {num