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* These values are used by the `AbstractVector.round` method to increase
* performance vs. using Number.toFixed.
*/
const precision = [
1,
10,
100,
1000,
10000,
100000,
1000000,
10000000,
100000000,
1000000000,
10000000000
]
export interface VectorConstructable<T> {
new (x: number, y: number): T
}
/**
* The class that all other vector representations are derived from.
*
* Contains the core implementation for all methods that will be exposed by
* vector instances.
*
* Example of creating a custom implementation:
*
* ```ts
* import { AbstractVector } from "./AbstractVector"
*
* export class MyCustomVector extends AbstractVector {
* constructor (x: number, y: number) {
* super(CustomVectorType)
* }
* }
* ```
*/
export abstract class AbstractVector {
constructor(protected ctor: VectorConstructable<AbstractVector>) {}
abstract set x(x: number)
abstract get x(): number
abstract set y(y: number)
abstract get y(): number
/**
* Set both x and y axis value
* @param x New x val
* @param y New y val
*/
setAxes(x: number, y: number) {
this.x = x
this.y = y
return this
}
/**
* Getter for x the axis value
*/
getX() {
return this.x
}
/**
* Setter for x axis value
*/
setX(x: number) {
this.x = x
return this
}
/**
* Getter for y axis value
*/
getY() {
return this.y
}
/**
* Setter for y axis.
*/
setY(y: number) {
this.y = y
return this
}
/**
* Return the vector as a formatted string, e.g "(0, 4)"
*/
toString(round = false) {
if (round) {
return `(${Math.round(this.x)}, ${Math.round(this.y)})`
}
return `(${this.x}, ${this.y})`
}
/**
* Return an Array containing the vector axes, e.g [0, 4]
*/
toArray() {
return [this.x, this.y]
}
/**
* Return an Object containing the vector axes, e.g { x: 0, y: 4 }
*/
toObject() {
return {
x: this.x,
y: this.y
}
}
/**
* Add the provided vector to this one
*/
add(vec: AbstractVector) {
this.x += vec.x
this.y += vec.y
return this
}
/**
* Subtract the provided vector from this one
*/
subtract(vec: AbstractVector) {
this.x -= vec.x
this.y -= vec.y
return this
}
/**
* Check if the provided vector equal to this one
*/
equals(vec: AbstractVector) {
return vec.x === this.x && vec.y === this.y
}
/**
* Multiply this vector by the provided vector
*/
multiplyByVector(vec: AbstractVector) {
this.x *= vec.x
this.y *= vec.y
return this
}
/**
* Multiply this vector by the provided vector
*/
mulV(vec: AbstractVector) {
return this.multiplyByVector(vec)
}
/**
* Divide this vector by the provided vector
*/
divideByVector(vec: AbstractVector) {
this.x /= vec.x
this.y /= vec.y
return this
}
/**
* Divide this vector by the provided vector
*/
divV(v: AbstractVector) {
return this.divideByVector(v)
}
/**
* Multiply this vector by the provided number
*/
multiplyByScalar(n: number) {
this.x *= n
this.y *= n
return this
}
/**
* Multiply this vector by the provided number
*/
mulS(n: number) {
return this.multiplyByScalar(n)
}
/**
* Divive this vector by the provided number
*/
divideByScalar(n: number) {
this.x /= n
this.y /= n
return this
}
/**
* Divive this vector by the provided number
*/
divS(n: number) {
return this.divideByScalar(n)
}
/**
* Normalise this vector
*/
normalise() {
return this.divideByScalar(this.magnitude())
}
/**
* For American spelling. Same as unit/normalise function
*/
normalize() {
return this.normalise()
}
/**
* The same as normalise and normalize
*/
unit() {
return this.normalise()
}
/**
* Returns the magnitude (length) of this vector
*/
magnitude() {
const x = this.x
const y = this.y
return Math.sqrt(x * x + y * y)
}
/**
* Returns the magnitude (length) of this vector
*/
length() {
return this.magnitude()
}
/**
* Returns the squred length of this vector
*/
lengthSq() {
const x = this.x
const y = this.y
return x * x + y * y
}
/**
* Returns the dot product of this vector by another
*/
dot(vec: AbstractVector) {
return vec.x * this.x + vec.y * this.y
}
/**
* Returns the cross product of this vector by another.
*/
cross(vec: AbstractVector) {
return this.x * vec.y - this.y * vec.x
}
/**
* Reverses this vector i.e multiplies it by -1
*/
reverse() {
this.x = -this.x
this.y = -this.y
return this
}
/**
* Set the vector axes values to absolute values
*/
abs() {
this.x = Math.abs(this.x)
this.y = Math.abs(this.y)
return this
}
/**
* Zeroes the vector i.e sets all axes to 0
*/
zero() {
this.x = this.y = 0
return this
}
/**
* Returns the distance between this vector and another
*/
distance(v: AbstractVector) {
var x = this.x - v.x
var y = this.y - v.y
return Math.sqrt(x * x + y * y)
}
/**
* Rotates the vetor by provided radians
*/
rotate(rads: number) {
const cos = Math.cos(rads)
const sin = Math.sin(rads)
const ox = this.x
const oy = this.y
this.x = ox * cos - oy * sin
this.y = ox * sin + oy * cos
return this
}
/**
* Rounds this vector to n decimal places
*/
round(En = 2) {
var p = precision[n]
// This performs waaay better than toFixed and give Float32 the edge again.
// http://www.dynamicguru.com/javascript/round-numbers-with-precision/
this.x = ((0.5 + this.x * p) << 0) / p
this.y = ((0.5 + this.y * p) << 0) / p
return this
}
/**
* Returns a copy of this vector
*/
clone() {
return new this.ctor(this.x, this.y)
}
}
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