mirror of
https://github.com/photonstorm/phaser
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1012 lines
No EOL
31 KiB
TypeScript
1012 lines
No EOL
31 KiB
TypeScript
/// <reference path="../_definitions.ts" />
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/**
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* Phaser - GameMath
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*
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* Adds a set of extra Math functions used through-out Phaser.
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* Includes methods written by Dylan Engelman and Adam Saltsman.
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*/
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module Phaser {
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export class GameMath {
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constructor(game: Game) {
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this.game = game;
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GameMath.sinA = [];
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GameMath.cosA = [];
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for (var i = 0; i < 360; i++)
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{
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GameMath.sinA.push(Math.sin(this.degreesToRadians(i)));
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GameMath.cosA.push(Math.cos(this.degreesToRadians(i)));
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}
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}
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public game: Phaser.Game;
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// Pre-calculated tables containing Math.sin(angle) and Math.cos(angle) from -180 to 180
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// So sinA[sprite.rotation] would be the same as Math.sin(sprite.rotation) without a call to Math.sin
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static sinA: number[];
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static cosA: number[];
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static PI: number = 3.141592653589793; //number pi
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static PI_2: number = 1.5707963267948965; //PI / 2 OR 90 deg
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static PI_4: number = 0.7853981633974483; //PI / 4 OR 45 deg
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static PI_8: number = 0.39269908169872413; //PI / 8 OR 22.5 deg
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static PI_16: number = 0.19634954084936206; //PI / 16 OR 11.25 deg
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static TWO_PI: number = 6.283185307179586; //2 * PI OR 180 deg
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static THREE_PI_2: number = 4.7123889803846895; //3 * PI_2 OR 270 deg
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static E: number = 2.71828182845905; //number e
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static LN10: number = 2.302585092994046; //ln(10)
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static LN2: number = 0.6931471805599453; //ln(2)
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static LOG10E: number = 0.4342944819032518; //logB10(e)
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static LOG2E: number = 1.442695040888963387; //logB2(e)
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static SQRT1_2: number = 0.7071067811865476; //sqrt( 1 / 2 )
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static SQRT2: number = 1.4142135623730951; //sqrt( 2 )
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static DEG_TO_RAD: number = 0.017453292519943294444444444444444; //PI / 180;
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static RAD_TO_DEG: number = 57.295779513082325225835265587527; // 180.0 / PI;
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static B_16: number = 65536;//2^16
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static B_31: number = 2147483648;//2^31
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static B_32: number = 4294967296;//2^32
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static B_48: number = 281474976710656;//2^48
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static B_53: number = 9007199254740992;//2^53 !!NOTE!! largest accurate double floating point whole value
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static B_64: number = 18446744073709551616;//2^64 !!NOTE!! Not accurate see B_53
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static ONE_THIRD: number = 0.333333333333333333333333333333333; // 1.0/3.0;
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static TWO_THIRDS: number = 0.666666666666666666666666666666666; // 2.0/3.0;
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static ONE_SIXTH: number = 0.166666666666666666666666666666666; // 1.0/6.0;
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static COS_PI_3: number = 0.86602540378443864676372317075294;//COS( PI / 3 )
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static SIN_2PI_3: number = 0.03654595;// SIN( 2*PI/3 )
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static CIRCLE_ALPHA: number = 0.5522847498307933984022516322796; //4*(Math.sqrt(2)-1)/3.0;
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static ON: bool = true;
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static OFF: bool = false;
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static SHORT_EPSILON: number = 0.1;//round integer epsilon
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static PERC_EPSILON: number = 0.001;//percentage epsilon
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static EPSILON: number = 0.0001;//single float average epsilon
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static LONG_EPSILON: number = 0.00000001;//arbitrary 8 digit epsilon
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public cosTable = [];
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public sinTable = [];
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public fuzzyEqual(a: number, b: number, epsilon: number = 0.0001): bool {
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return Math.abs(a - b) < epsilon;
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}
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public fuzzyLessThan(a: number, b: number, epsilon: number = 0.0001): bool {
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return a < b + epsilon;
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}
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public fuzzyGreaterThan(a: number, b: number, epsilon: number = 0.0001): bool {
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return a > b - epsilon;
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}
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public fuzzyCeil(val: number, epsilon: number = 0.0001): number {
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return Math.ceil(val - epsilon);
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}
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public fuzzyFloor(val: number, epsilon: number = 0.0001): number {
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return Math.floor(val + epsilon);
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}
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public average(...args: any[]): number {
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var avg: number = 0;
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for (var i = 0; i < args.length; i++)
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{
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avg += args[i];
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}
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return avg / args.length;
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}
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public slam(value: number, target: number, epsilon: number = 0.0001): number {
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return (Math.abs(value - target) < epsilon) ? target : value;
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}
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/**
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* ratio of value to a range
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*/
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public percentageMinMax(val: number, max: number, min: number = 0): number {
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val -= min;
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max -= min;
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if (!max) return 0;
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else return val / max;
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}
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/**
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* a value representing the sign of the value.
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* -1 for negative, +1 for positive, 0 if value is 0
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*/
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public sign(n: number): number {
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if (n) return n / Math.abs(n);
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else return 0;
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}
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public truncate(n: number): number {
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return (n > 0) ? Math.floor(n) : Math.ceil(n);
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}
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public shear(n: number): number {
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return n % 1;
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}
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/**
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* wrap a value around a range, similar to modulus with a floating minimum
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*/
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public wrap(val: number, max: number, min: number = 0): number {
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val -= min;
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max -= min;
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if (max == 0) return min;
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val %= max;
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val += min;
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while (val < min)
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val += max;
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return val;
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}
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/**
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* arithmetic version of wrap... need to decide which is more efficient
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*/
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public arithWrap(value: number, max: number, min: number = 0): number {
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max -= min;
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if (max == 0) return min;
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return value - max * Math.floor((value - min) / max);
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}
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/**
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* force a value within the boundaries of two values
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*
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* if max < min, min is returned
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*/
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public clamp(input: number, max: number, min: number = 0): number {
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return Math.max(min, Math.min(max, input));
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}
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/**
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* Snap a value to nearest grid slice, using rounding.
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*
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* example if you have an interval gap of 5 and a position of 12... you will snap to 10. Where as 14 will snap to 15
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*
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* @param input - the value to snap
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* @param gap - the interval gap of the grid
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* @param [start] - optional starting offset for gap
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*/
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public snapTo(input: number, gap: number, start: number = 0): number {
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if (gap == 0) return input;
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input -= start;
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input = gap * Math.round(input / gap);
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return start + input;
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}
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/**
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* Snap a value to nearest grid slice, using floor.
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*
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* 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
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*
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* @param input - the value to snap
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* @param gap - the interval gap of the grid
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* @param [start] - optional starting offset for gap
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*/
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public snapToFloor(input: number, gap: number, start: number = 0): number {
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if (gap == 0) return input;
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input -= start;
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input = gap * Math.floor(input / gap);
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return start + input;
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}
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/**
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* Snap a value to nearest grid slice, using ceil.
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*
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* 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
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*
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* @param input - the value to snap
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* @param gap - the interval gap of the grid
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* @param [start] - optional starting offset for gap
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*/
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public snapToCeil(input: number, gap: number, start: number = 0): number {
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if (gap == 0) return input;
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input -= start;
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input = gap * Math.ceil(input / gap);
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return start + input;
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}
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/**
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* Snaps a value to the nearest value in an array.
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*/
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public snapToInArray(input: number, arr: number[], sort: bool = true): number {
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if (sort) arr.sort();
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if (input < arr[0]) return arr[0];
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var i: number = 1;
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while (arr[i] < input)
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i++;
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var low: number = arr[i - 1];
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var high: number = (i < arr.length) ? arr[i] : Number.POSITIVE_INFINITY;
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return ((high - input) <= (input - low)) ? high : low;
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}
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/**
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* roundTo some place comparative to a 'base', default is 10 for decimal place
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*
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* 'place' is represented by the power applied to 'base' to get that place
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*
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* @param value - the value to round
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* @param place - the place to round to
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* @param base - the base to round in... default is 10 for decimal
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*
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* e.g.
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*
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* 2000/7 ~= 285.714285714285714285714 ~= (bin)100011101.1011011011011011
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*
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* roundTo(2000/7,3) == 0
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* roundTo(2000/7,2) == 300
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* roundTo(2000/7,1) == 290
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* roundTo(2000/7,0) == 286
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* roundTo(2000/7,-1) == 285.7
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* roundTo(2000/7,-2) == 285.71
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* roundTo(2000/7,-3) == 285.714
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* roundTo(2000/7,-4) == 285.7143
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* roundTo(2000/7,-5) == 285.71429
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*
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* roundTo(2000/7,3,2) == 288 -- 100100000
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* roundTo(2000/7,2,2) == 284 -- 100011100
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* roundTo(2000/7,1,2) == 286 -- 100011110
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* roundTo(2000/7,0,2) == 286 -- 100011110
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* roundTo(2000/7,-1,2) == 285.5 -- 100011101.1
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* roundTo(2000/7,-2,2) == 285.75 -- 100011101.11
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* roundTo(2000/7,-3,2) == 285.75 -- 100011101.11
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* roundTo(2000/7,-4,2) == 285.6875 -- 100011101.1011
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* roundTo(2000/7,-5,2) == 285.71875 -- 100011101.10111
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*
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* note what occurs when we round to the 3rd space (8ths place), 100100000, this is to be assumed
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* because we are rounding 100011.1011011011011011 which rounds up.
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*/
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public roundTo(value: number, place: number = 0, base: number = 10): number {
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var p: number = Math.pow(base, -place);
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return Math.round(value * p) / p;
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}
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public floorTo(value: number, place: number = 0, base: number = 10): number {
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var p: number = Math.pow(base, -place);
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return Math.floor(value * p) / p;
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}
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public ceilTo(value: number, place: number = 0, base: number = 10): number {
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var p: number = Math.pow(base, -place);
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return Math.ceil(value * p) / p;
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}
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/**
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* a one dimensional linear interpolation of a value.
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*/
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public interpolateFloat(a: number, b: number, weight: number): number {
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return (b - a) * weight + a;
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}
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/**
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* convert radians to degrees
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*/
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public radiansToDegrees(angle: number): number {
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return angle * GameMath.RAD_TO_DEG;
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}
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/**
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* convert degrees to radians
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*/
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public degreesToRadians(angle: number): number {
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return angle * GameMath.DEG_TO_RAD;
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}
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/**
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* Find the angle of a segment from (x1, y1) -> (x2, y2 )
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*/
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public angleBetween(x1: number, y1: number, x2: number, y2: number): number {
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return Math.atan2(y2 - y1, x2 - x1);
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}
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/**
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* set an angle within the bounds of -PI to PI
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*/
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public normalizeAngle(angle: number, radians: bool = true): number {
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var rd: number = (radians) ? GameMath.PI : 180;
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return this.wrap(angle, rd, -rd);
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}
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/**
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* closest angle between two angles from a1 to a2
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* absolute value the return for exact angle
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*/
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public nearestAngleBetween(a1: number, a2: number, radians: bool = true): number {
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var rd: number = (radians) ? GameMath.PI : 180;
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a1 = this.normalizeAngle(a1, radians);
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a2 = this.normalizeAngle(a2, radians);
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if (a1 < -rd / 2 && a2 > rd / 2) a1 += rd * 2;
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if (a2 < -rd / 2 && a1 > rd / 2) a2 += rd * 2;
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return a2 - a1;
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}
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/**
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* normalizes independent and then sets dep to the nearest value respective to independent
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*
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* for instance if dep=-170 and ind=170 then 190 will be returned as an alternative to -170
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*/
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public normalizeAngleToAnother(dep: number, ind: number, radians: bool = true): number {
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return ind + this.nearestAngleBetween(ind, dep, radians);
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}
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/**
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* normalize independent and dependent and then set dependent to an angle relative to 'after/clockwise' independent
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*
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* for instance dep=-170 and ind=170, then 190 will be reutrned as alternative to -170
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*/
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public normalizeAngleAfterAnother(dep: number, ind: number, radians: bool = true): number {
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dep = this.normalizeAngle(dep - ind, radians);
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return ind + dep;
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}
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/**
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* normalizes indendent and dependent and then sets dependent to an angle relative to 'before/counterclockwise' independent
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*
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* for instance dep = 190 and ind = 170, then -170 will be returned as an alternative to 190
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*/
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public normalizeAngleBeforeAnother(dep: number, ind: number, radians: bool = true): number {
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dep = this.normalizeAngle(ind - dep, radians);
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return ind - dep;
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}
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/**
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* interpolate across the shortest arc between two angles
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*/
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public interpolateAngles(a1: number, a2: number, weight: number, radians: bool = true, ease = null): number {
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a1 = this.normalizeAngle(a1, radians);
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a2 = this.normalizeAngleToAnother(a2, a1, radians);
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return (typeof ease === 'function') ? ease(weight, a1, a2 - a1, 1) : this.interpolateFloat(a1, a2, weight);
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}
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/**
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* Compute the logarithm of any value of any base
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*
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* a logarithm is the exponent that some constant (base) would have to be raised to
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* to be equal to value.
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*
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* i.e.
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* 4 ^ x = 16
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* can be rewritten as to solve for x
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* logB4(16) = x
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* which with this function would be
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* LoDMath.logBaseOf(16,4)
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*
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* which would return 2, because 4^2 = 16
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*/
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public logBaseOf(value: number, base: number): number {
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return Math.log(value) / Math.log(base);
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}
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/**
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* Greatest Common Denominator using Euclid's algorithm
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*/
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public GCD(m: number, n: number): number {
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var r: number;
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//make sure positive, GCD is always positive
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m = Math.abs(m);
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n = Math.abs(n);
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//m must be >= n
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if (m < n)
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{
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r = m;
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m = n;
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n = r;
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}
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//now start loop
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while (true)
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{
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r = m % n;
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if (!r) return n;
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m = n;
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n = r;
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}
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return 1;
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}
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/**
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* Lowest Common Multiple
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*/
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public LCM(m: number, n: number): number {
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return (m * n) / this.GCD(m, n);
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}
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/**
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* Factorial - N!
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*
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* simple product series
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*
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* by definition:
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* 0! == 1
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*/
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public factorial(value: number): number {
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if (value == 0) return 1;
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var res: number = value;
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while (--value)
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{
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res *= value;
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}
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return res;
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}
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/**
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* gamma function
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*
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* defined: gamma(N) == (N - 1)!
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*/
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public gammaFunction(value: number): number {
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return this.factorial(value - 1);
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}
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/**
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* falling factorial
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*
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* defined: (N)! / (N - x)!
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*
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* written subscript: (N)x OR (base)exp
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*/
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public fallingFactorial(base: number, exp: number): number {
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return this.factorial(base) / this.factorial(base - exp);
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}
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/**
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* rising factorial
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*
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* defined: (N + x - 1)! / (N - 1)!
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*
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* written superscript N^(x) OR base^(exp)
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*/
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public risingFactorial(base: number, exp: number): number {
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//expanded from gammaFunction for speed
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return this.factorial(base + exp - 1) / this.factorial(base - 1);
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}
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/**
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* binomial coefficient
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*
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* defined: N! / (k!(N-k)!)
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* reduced: N! / (N-k)! == (N)k (fallingfactorial)
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* reduced: (N)k / k!
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*/
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public binCoef(n: number, k: number): number {
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return this.fallingFactorial(n, k) / this.factorial(k);
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}
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|
|
|
/**
|
|
* rising binomial coefficient
|
|
*
|
|
* as one can notice in the analysis of binCoef(...) that
|
|
* binCoef is the (N)k divided by k!. Similarly rising binCoef
|
|
* is merely N^(k) / k!
|
|
*/
|
|
public risingBinCoef(n: number, k: number): number {
|
|
return this.risingFactorial(n, k) / this.factorial(k);
|
|
}
|
|
|
|
/**
|
|
* Generate a random bool result based on the chance value
|
|
* <p>
|
|
* Returns true or false based on the chance value (default 50%). For example if you wanted a player to have a 30% chance
|
|
* of getting a bonus, call chanceRoll(30) - true means the chance passed, false means it failed.
|
|
* </p>
|
|
* @param chance The chance of receiving the value. A number between 0 and 100 (effectively 0% to 100%)
|
|
* @return true if the roll passed, or false
|
|
*/
|
|
public chanceRoll(chance: number = 50): bool {
|
|
|
|
if (chance <= 0)
|
|
{
|
|
return false;
|
|
}
|
|
else if (chance >= 100)
|
|
{
|
|
return true;
|
|
}
|
|
else
|
|
{
|
|
if (Math.random() * 100 >= chance)
|
|
{
|
|
return false;
|
|
}
|
|
else
|
|
{
|
|
return true;
|
|
}
|
|
}
|
|
|
|
}
|
|
|
|
/**
|
|
* Adds the given amount to the value, but never lets the value go over the specified maximum
|
|
*
|
|
* @param value The value to add the amount to
|
|
* @param amount The amount to add to the value
|
|
* @param max The maximum the value is allowed to be
|
|
* @return The new value
|
|
*/
|
|
public maxAdd(value: number, amount: number, max: number): number {
|
|
|
|
value += amount;
|
|
|
|
if (value > max)
|
|
{
|
|
value = max;
|
|
}
|
|
|
|
return value;
|
|
|
|
}
|
|
|
|
/**
|
|
* Subtracts the given amount from the value, but never lets the value go below the specified minimum
|
|
*
|
|
* @param value The base value
|
|
* @param amount The amount to subtract from the base value
|
|
* @param min The minimum the value is allowed to be
|
|
* @return The new value
|
|
*/
|
|
public minSub(value: number, amount: number, min: number): number {
|
|
|
|
value -= amount;
|
|
|
|
if (value < min)
|
|
{
|
|
value = min;
|
|
}
|
|
|
|
return value;
|
|
}
|
|
|
|
/**
|
|
* Adds value to amount and ensures that the result always stays between 0 and max, by wrapping the value around.
|
|
* <p>Values must be positive integers, and are passed through Math.abs</p>
|
|
*
|
|
* @param value The value to add the amount to
|
|
* @param amount The amount to add to the value
|
|
* @param max The maximum the value is allowed to be
|
|
* @return The wrapped value
|
|
*/
|
|
public wrapValue(value: number, amount: number, max: number): number {
|
|
|
|
var diff: number;
|
|
|
|
value = Math.abs(value);
|
|
amount = Math.abs(amount);
|
|
max = Math.abs(max);
|
|
|
|
diff = (value + amount) % max;
|
|
|
|
return diff;
|
|
|
|
}
|
|
|
|
/**
|
|
* Randomly returns either a 1 or -1
|
|
*
|
|
* @return 1 or -1
|
|
*/
|
|
public randomSign(): number {
|
|
return (Math.random() > 0.5) ? 1 : -1;
|
|
}
|
|
|
|
/**
|
|
* Returns true if the number given is odd.
|
|
*
|
|
* @param n The number to check
|
|
*
|
|
* @return True if the given number is odd. False if the given number is even.
|
|
*/
|
|
public isOdd(n: number): bool {
|
|
|
|
if (n & 1)
|
|
{
|
|
return true;
|
|
}
|
|
else
|
|
{
|
|
return false;
|
|
}
|
|
|
|
}
|
|
|
|
/**
|
|
* Returns true if the number given is even.
|
|
*
|
|
* @param n The number to check
|
|
*
|
|
* @return True if the given number is even. False if the given number is odd.
|
|
*/
|
|
public isEven(n: number): bool {
|
|
|
|
if (n & 1)
|
|
{
|
|
return false;
|
|
}
|
|
else
|
|
{
|
|
return true;
|
|
}
|
|
|
|
}
|
|
|
|
/**
|
|
* Keeps an angle value between -180 and +180<br>
|
|
* Should be called whenever the angle is updated on the Sprite to stop it from going insane.
|
|
*
|
|
* @param angle The angle value to check
|
|
*
|
|
* @return The new angle value, returns the same as the input angle if it was within bounds
|
|
*/
|
|
public wrapAngle(angle: number): number {
|
|
|
|
var result: number = angle;
|
|
|
|
// Nothing needs to change
|
|
if (angle >= -180 && angle <= 180)
|
|
{
|
|
return angle;
|
|
}
|
|
|
|
// Else normalise it to -180, 180
|
|
result = (angle + 180) % 360;
|
|
|
|
if (result < 0)
|
|
{
|
|
result += 360;
|
|
}
|
|
|
|
return result - 180;
|
|
|
|
}
|
|
|
|
/**
|
|
* Keeps an angle value between the given min and max values
|
|
*
|
|
* @param angle The angle value to check. Must be between -180 and +180
|
|
* @param min The minimum angle that is allowed (must be -180 or greater)
|
|
* @param max The maximum angle that is allowed (must be 180 or less)
|
|
*
|
|
* @return The new angle value, returns the same as the input angle if it was within bounds
|
|
*/
|
|
public angleLimit(angle: number, min: number, max: number): number {
|
|
|
|
var result: number = angle;
|
|
|
|
if (angle > max)
|
|
{
|
|
result = max;
|
|
}
|
|
else if (angle < min)
|
|
{
|
|
result = min;
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
/**
|
|
* @method linear
|
|
* @param {Any} v
|
|
* @param {Any} k
|
|
* @public
|
|
*/
|
|
public linearInterpolation(v, k) {
|
|
|
|
var m = v.length - 1;
|
|
var f = m * k;
|
|
var i = Math.floor(f);
|
|
|
|
if (k < 0) return this.linear(v[0], v[1], f);
|
|
if (k > 1) return this.linear(v[m], v[m - 1], m - f);
|
|
|
|
return this.linear(v[i], v[i + 1 > m ? m : i + 1], f - i);
|
|
|
|
}
|
|
|
|
/**
|
|
* @method Bezier
|
|
* @param {Any} v
|
|
* @param {Any} k
|
|
* @public
|
|
*/
|
|
public bezierInterpolation(v, k) {
|
|
|
|
var b = 0;
|
|
var n = v.length - 1;
|
|
|
|
for (var i = 0; i <= n; i++)
|
|
{
|
|
b += Math.pow(1 - k, n - i) * Math.pow(k, i) * v[i] * this.bernstein(n, i);
|
|
}
|
|
|
|
return b;
|
|
|
|
}
|
|
|
|
/**
|
|
* @method CatmullRom
|
|
* @param {Any} v
|
|
* @param {Any} k
|
|
* @public
|
|
*/
|
|
public catmullRomInterpolation(v, k) {
|
|
|
|
var m = v.length - 1;
|
|
var f = m * k;
|
|
var i = Math.floor(f);
|
|
|
|
if (v[0] === v[m])
|
|
{
|
|
if (k < 0) i = Math.floor(f = m * (1 + k));
|
|
|
|
return this.catmullRom(v[(i - 1 + m) % m], v[i], v[(i + 1) % m], v[(i + 2) % m], f - i);
|
|
|
|
}
|
|
else
|
|
{
|
|
if (k < 0) return v[0] - (this.catmullRom(v[0], v[0], v[1], v[1], -f) - v[0]);
|
|
|
|
if (k > 1) return v[m] - (this.catmullRom(v[m], v[m], v[m - 1], v[m - 1], f - m) - v[m]);
|
|
|
|
return this.catmullRom(v[i ? i - 1 : 0], v[i], v[m < i + 1 ? m : i + 1], v[m < i + 2 ? m : i + 2], f - i);
|
|
}
|
|
|
|
}
|
|
|
|
/**
|
|
* @method Linear
|
|
* @param {Any} p0
|
|
* @param {Any} p1
|
|
* @param {Any} t
|
|
* @public
|
|
*/
|
|
public linear(p0, p1, t) {
|
|
|
|
return (p1 - p0) * t + p0;
|
|
|
|
}
|
|
|
|
/**
|
|
* @method Bernstein
|
|
* @param {Any} n
|
|
* @param {Any} i
|
|
* @public
|
|
*/
|
|
public bernstein(n, i) {
|
|
|
|
return this.factorial(n) / this.factorial(i) / this.factorial(n - i);
|
|
|
|
}
|
|
|
|
/**
|
|
* @method CatmullRom
|
|
* @param {Any} p0
|
|
* @param {Any} p1
|
|
* @param {Any} p2
|
|
* @param {Any} p3
|
|
* @param {Any} t
|
|
* @public
|
|
*/
|
|
public catmullRom(p0, p1, p2, p3, t) {
|
|
|
|
var v0 = (p2 - p0) * 0.5, v1 = (p3 - p1) * 0.5, t2 = t * t, t3 = t * t2;
|
|
return (2 * p1 - 2 * p2 + v0 + v1) * t3 + (-3 * p1 + 3 * p2 - 2 * v0 - v1) * t2 + v0 * t + p1;
|
|
|
|
}
|
|
|
|
public difference(a: number, b: number): number {
|
|
|
|
return Math.abs(a - b);
|
|
|
|
}
|
|
|
|
/**
|
|
* Fetch a random entry from the given array.
|
|
* Will return null if random selection is missing, or array has no entries.
|
|
*
|
|
* @param objects An array of objects.
|
|
* @param startIndex Optional offset off the front of the array. Default value is 0, or the beginning of the array.
|
|
* @param length Optional restriction on the number of values you want to randomly select from.
|
|
*
|
|
* @return The random object that was selected.
|
|
*/
|
|
public getRandom(objects, startIndex: number = 0, length: number = 0) {
|
|
|
|
if (objects != null)
|
|
{
|
|
var l: number = length;
|
|
|
|
if ((l == 0) || (l > objects.length - startIndex))
|
|
{
|
|
l = objects.length - startIndex;
|
|
}
|
|
|
|
if (l > 0)
|
|
{
|
|
return objects[startIndex + Math.floor(Math.random() * l)];
|
|
}
|
|
}
|
|
|
|
return null;
|
|
|
|
}
|
|
|
|
/**
|
|
* Round down to the next whole number. E.g. floor(1.7) == 1, and floor(-2.7) == -2.
|
|
*
|
|
* @param Value Any number.
|
|
*
|
|
* @return The rounded value of that number.
|
|
*/
|
|
public floor(value: number): number {
|
|
var n: number = value | 0;
|
|
return (value > 0) ? (n) : ((n != value) ? (n - 1) : (n));
|
|
}
|
|
|
|
/**
|
|
* Round up to the next whole number. E.g. ceil(1.3) == 2, and ceil(-2.3) == -3.
|
|
*
|
|
* @param Value Any number.
|
|
*
|
|
* @return The rounded value of that number.
|
|
*/
|
|
public ceil(value: number): number {
|
|
var n: number = value | 0;
|
|
return (value > 0) ? ((n != value) ? (n + 1) : (n)) : (n);
|
|
}
|
|
|
|
/**
|
|
* Generate a sine and cosine table simultaneously and extremely quickly. Based on research by Franky of scene.at
|
|
* <p>
|
|
* The parameters allow you to specify the length, amplitude and frequency of the wave. Once you have called this function
|
|
* you should get the results via getSinTable() and getCosTable(). This generator is fast enough to be used in real-time.
|
|
* </p>
|
|
* @param length The length of the wave
|
|
* @param sinAmplitude The amplitude to apply to the sine table (default 1.0) if you need values between say -+ 125 then give 125 as the value
|
|
* @param cosAmplitude The amplitude to apply to the cosine table (default 1.0) if you need values between say -+ 125 then give 125 as the value
|
|
* @param frequency The frequency of the sine and cosine table data
|
|
* @return Returns the sine table
|
|
* @see getSinTable
|
|
* @see getCosTable
|
|
*/
|
|
public sinCosGenerator(length: number, sinAmplitude: number = 1.0, cosAmplitude: number = 1.0, frequency: number = 1.0) {
|
|
|
|
var sin: number = sinAmplitude;
|
|
var cos: number = cosAmplitude;
|
|
var frq: number = frequency * Math.PI / length;
|
|
|
|
this.cosTable = [];
|
|
this.sinTable = [];
|
|
|
|
for (var c: number = 0; c < length; c++)
|
|
{
|
|
cos -= sin * frq;
|
|
sin += cos * frq;
|
|
|
|
this.cosTable[c] = cos;
|
|
this.sinTable[c] = sin;
|
|
}
|
|
|
|
return this.sinTable;
|
|
|
|
}
|
|
|
|
/**
|
|
* Shifts through the sin table data by one value and returns it.
|
|
* This effectively moves the position of the data from the start to the end of the table.
|
|
* @return The sin value.
|
|
*/
|
|
public shiftSinTable(): number {
|
|
|
|
if (this.sinTable)
|
|
{
|
|
var s = this.sinTable.shift();
|
|
this.sinTable.push(s);
|
|
return s;
|
|
}
|
|
|
|
}
|
|
|
|
/**
|
|
* Shifts through the cos table data by one value and returns it.
|
|
* This effectively moves the position of the data from the start to the end of the table.
|
|
* @return The cos value.
|
|
*/
|
|
public shiftCosTable(): number {
|
|
|
|
if (this.cosTable)
|
|
{
|
|
var s = this.cosTable.shift();
|
|
this.cosTable.push(s);
|
|
return s;
|
|
}
|
|
|
|
}
|
|
|
|
/**
|
|
* Shuffles the data in the given array into a new order
|
|
* @param array The array to shuffle
|
|
* @return The array
|
|
*/
|
|
public shuffleArray(array) {
|
|
|
|
for (var i = array.length - 1; i > 0; i--)
|
|
{
|
|
var j = Math.floor(Math.random() * (i + 1));
|
|
var temp = array[i];
|
|
array[i] = array[j];
|
|
array[j] = temp;
|
|
}
|
|
|
|
return array;
|
|
|
|
}
|
|
|
|
/**
|
|
* Returns the distance from this Point object to the given Point object.
|
|
* @method distanceFrom
|
|
* @param {Point} target - The destination Point object.
|
|
* @param {bool} round - Round the distance to the nearest integer (default false)
|
|
* @return {Number} The distance between this Point object and the destination Point object.
|
|
**/
|
|
public distanceBetween(x1: number, y1: number, x2: number, y2: number): number {
|
|
|
|
var dx = x1 - x2;
|
|
var dy = y1 - y2;
|
|
|
|
return Math.sqrt(dx * dx + dy * dy);
|
|
|
|
}
|
|
|
|
/**
|
|
* Finds the length of the given vector
|
|
*
|
|
* @param dx
|
|
* @param dy
|
|
*
|
|
* @return
|
|
*/
|
|
public vectorLength(dx: number, dy: number): number {
|
|
return Math.sqrt(dx * dx + dy * dy);
|
|
}
|
|
|
|
}
|
|
|
|
} |