big cleanup
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parent
daa44f9911
commit
864ded959a
161 changed files with 2918 additions and 5749 deletions
493
state/code/vector.ts
Normal file
493
state/code/vector.ts
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export interface VectorOptions {
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x: number
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y: number
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}
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export interface Point {
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x: number
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y: number
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}
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export default class Vector {
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x = 0
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y = 0
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constructor(x: number, y: number)
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constructor(vector: Vector, b?: undefined)
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constructor(options: Point, b?: undefined)
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constructor(a: VectorOptions | Vector | number, b?: number) {
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if (typeof a === 'number') {
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this.x = a
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this.y = b
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} else {
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const { x = 0, y = 0 } = a
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this.x = x
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this.y = y
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}
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}
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set(v: Vector | Point): Vector {
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this.x = v.x
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this.y = v.y
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return this
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}
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copy(): Vector {
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return new Vector(this)
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}
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clone(): Vector {
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return this.copy()
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}
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toArray(): number[] {
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return [this.x, this.y]
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}
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add(b: Vector): Vector {
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this.x += b.x
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this.y += b.y
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return this
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}
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static add(a: Vector, b: Vector): Vector {
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const n = new Vector(a)
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n.x += b.x
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n.y += b.y
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return n
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}
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sub(b: Vector): Vector {
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this.x -= b.x
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this.y -= b.y
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return this
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}
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static sub(a: Vector, b: Vector): Vector {
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const n = new Vector(a)
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n.x -= b.x
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n.y -= b.y
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return n
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}
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mul(b: number): Vector
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mul(b: Vector): Vector
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mul(b: Vector | number): Vector {
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if (b instanceof Vector) {
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this.x *= b.x
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this.y *= b.y
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} else {
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this.x *= b
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this.y *= b
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}
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return this
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}
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mulScalar(b: number): Vector {
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return this.mul(b)
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}
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static mulScalar(a: Vector, b: number): Vector {
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return Vector.mul(a, b)
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}
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static mul(a: Vector, b: number): Vector
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static mul(a: Vector, b: Vector): Vector
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static mul(a: Vector, b: Vector | number): Vector {
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const n = new Vector(a)
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if (b instanceof Vector) {
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n.x *= b.x
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n.y *= b.y
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} else {
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n.x *= b
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n.y *= b
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}
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return n
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}
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div(b: number): Vector
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div(b: Vector): Vector
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div(b: Vector | number): Vector {
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if (b instanceof Vector) {
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if (b.x) {
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this.x /= b.x
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}
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if (b.y) {
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this.y /= b.y
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}
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} else {
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if (b) {
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this.x /= b
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this.y /= b
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}
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}
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return this
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}
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static div(a: Vector, b: number): Vector
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static div(a: Vector, b: Vector): Vector
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static div(a: Vector, b: Vector | number): Vector {
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const n = new Vector(a)
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if (b instanceof Vector) {
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if (b.x) n.x /= b.x
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if (b.y) n.y /= b.y
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} else {
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if (b) {
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n.x /= b
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n.y /= b
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}
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}
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return n
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}
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divScalar(b: number): Vector {
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return this.div(b)
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}
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static divScalar(a: Vector, b: number): Vector {
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return Vector.div(a, b)
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}
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vec(b: Vector): Vector {
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const { x, y } = this
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this.x = b.x - x
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this.y = b.y - y
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return this
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}
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static vec(a: Vector, b: Vector): Vector {
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const n = new Vector(a)
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n.x = b.x - a.x
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n.y = b.y - a.y
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return n
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}
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pry(b: Vector): number {
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return this.dpr(b) / b.len()
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}
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static pry(a: Vector, b: Vector): number {
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return a.dpr(b) / b.len()
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}
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dpr(b: Vector): number {
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return this.x * b.x + this.y * b.y
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}
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static dpr(a: Vector, b: Vector): number {
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return a.x & (b.x + a.y * b.y)
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}
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cpr(b: Vector): number {
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return this.x * b.y - b.y * this.y
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}
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static cpr(a: Vector, b: Vector): number {
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return a.x * b.y - b.y * a.y
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}
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tangent(b: Vector): Vector {
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return this.sub(b).uni()
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}
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static tangent(a: Vector, b: Vector): Vector {
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const n = new Vector(a)
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return n.sub(b).uni()
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}
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dist2(b: Vector): number {
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return this.sub(b).len2()
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}
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static dist2(a: Vector, b: Vector): number {
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const n = new Vector(a)
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return n.sub(b).len2()
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}
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dist(b: Vector): number {
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return Math.hypot(b.y - this.y, b.x - this.x)
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}
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static dist(a: Vector, b: Vector): number {
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const n = new Vector(a)
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return Math.hypot(b.y - n.y, b.x - n.x)
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}
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ang(b: Vector): number {
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return Math.atan2(b.y - this.y, b.x - this.x)
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}
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static ang(a: Vector, b: Vector): number {
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const n = new Vector(a)
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return Math.atan2(b.y - n.y, b.x - n.x)
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}
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med(b: Vector): Vector {
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return this.add(b).mul(0.5)
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}
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static med(a: Vector, b: Vector): Vector {
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const n = new Vector(a)
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return n.add(b).mul(0.5)
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}
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rot(r: number): Vector {
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const { x, y } = this
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this.x = x * Math.cos(r) - y * Math.sin(r)
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this.y = x * Math.sin(r) + y * Math.cos(r)
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return this
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}
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static rot(a: Vector, r: number): Vector {
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const n = new Vector(a)
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n.x = a.x * Math.cos(r) - a.y * Math.sin(r)
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n.y = a.x * Math.sin(r) + a.y * Math.cos(r)
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return n
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}
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rotAround(b: Vector, r: number): Vector {
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const { x, y } = this
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const s = Math.sin(r)
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const c = Math.cos(r)
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const px = x - b.x
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const py = y - b.y
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this.x = px * c - py * s + b.x
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this.y = px * s + py * c + b.y
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return this
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}
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static rotAround(a: Vector, b: Vector, r: number): Vector {
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const n = new Vector(a)
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const s = Math.sin(r)
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const c = Math.cos(r)
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const px = n.x - b.x
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const py = n.y - b.y
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n.x = px * c - py * s + b.x
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n.y = px * s + py * c + b.y
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return n
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}
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lrp(b: Vector, t: number): Vector {
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const n = new Vector(this)
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this.vec(b).mul(t).add(n)
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return this
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}
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static lrp(a: Vector, b: Vector, t: number): Vector {
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const n = new Vector(a)
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n.vec(b).mul(t).add(a)
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return n
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}
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nudge(b: Vector, d: number): Vector {
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this.add(b.mul(d))
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return this
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}
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static nudge(a: Vector, b: Vector, d: number): Vector {
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const n = new Vector(a)
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return n.add(b.mul(d))
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}
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nudgeToward(b: Vector, d: number): Vector {
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return this.nudge(Vector.vec(this, b).uni(), d)
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}
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static nudgeToward(a: Vector, b: Vector, d: number): Vector {
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return Vector.nudge(a, Vector.vec(a, b).uni(), d)
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}
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int(b: Vector, from: number, to: number, s: number): Vector {
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const t = (Math.max(from, to) - from) / (to - from)
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this.add(Vector.mul(this, 1 - t).add(Vector.mul(b, s)))
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return this
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}
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static int(
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a: Vector,
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b: Vector,
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from: number,
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to: number,
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s: number
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): Vector {
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const n = new Vector(a)
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const t = (Math.max(from, to) - from) / (to - from)
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n.add(Vector.mul(a, 1 - t).add(Vector.mul(b, s)))
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return n
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}
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equals(b: Vector): boolean {
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return this.x === b.x && this.y === b.y
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}
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static equals(a: Vector, b: Vector): boolean {
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return a.x === b.x && a.y === b.y
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}
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abs(): Vector {
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this.x = Math.abs(this.x)
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this.y = Math.abs(this.y)
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return this
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}
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static abs(a: Vector): Vector {
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const n = new Vector(a)
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n.x = Math.abs(n.x)
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n.y = Math.abs(n.y)
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return n
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}
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len(): number {
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return Math.hypot(this.x, this.y)
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}
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static len(a: Vector): number {
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return Math.hypot(a.x, a.y)
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}
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len2(): number {
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return this.x * this.x + this.y * this.y
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}
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static len2(a: Vector): number {
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return a.x * a.x + a.y * a.y
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}
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per(): Vector {
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const t = this.x
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this.x = this.y
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this.y = -t
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return this
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}
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static per(a: Vector): Vector {
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const n = new Vector(a)
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n.x = n.y
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n.y = -a.x
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return n
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}
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neg(): Vector {
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this.x *= -1
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this.y *= -1
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return this
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}
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static neg(v: Vector): Vector {
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const n = new Vector(v)
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n.x *= -1
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n.y *= -1
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return n
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}
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uni(): Vector {
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return this.div(this.len())
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}
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static uni(v: Vector): Vector {
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const n = new Vector(v)
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return n.div(n.len())
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}
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normalize(): Vector {
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return this.uni()
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}
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static normalize(v: Vector): Vector {
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return Vector.uni(v)
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}
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isLeft(center: Vector, b: Vector): number {
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return (
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(center.x - this.x) * (b.y - this.y) - (b.x - this.x) * (center.y - b.y)
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)
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}
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static isLeft(center: Vector, a: Vector, b: Vector): number {
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return (center.x - a.x) * (b.y - a.y) - (b.x - a.x) * (center.y - b.y)
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}
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static ang3(center: Vector, a: Vector, b: Vector): number {
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const v1 = Vector.vec(center, a)
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const v2 = Vector.vec(center, b)
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return Vector.ang(v1, v2)
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}
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static clockwise(center: Vector, a: Vector, b: Vector): boolean {
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return Vector.isLeft(center, a, b) > 0
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}
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static cast(v: Point | Vector): Vector {
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return 'cast' in v ? v : new Vector(v)
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}
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static from(v: Vector): Vector {
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return new Vector(v)
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}
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nearestPointOnLineThroughPoint(b: Vector, u: Vector): Vector {
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return this.clone().add(u.clone().mul(Vector.sub(this, b).pry(u)))
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}
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static nearestPointOnLineThroughPoint(
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a: Vector,
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b: Vector,
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u: Vector
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): Vector {
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return a.clone().add(u.clone().mul(Vector.sub(a, b).pry(u)))
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}
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distanceToLineThroughPoint(b: Vector, u: Vector): number {
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return this.dist(Vector.nearestPointOnLineThroughPoint(b, u, this))
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}
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static distanceToLineThroughPoint(a: Vector, b: Vector, u: Vector): number {
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return a.dist(Vector.nearestPointOnLineThroughPoint(b, u, a))
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}
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nearestPointOnLineSegment(p0: Vector, p1: Vector, clamp = true): Vector {
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return Vector.nearestPointOnLineSegment(this, p0, p1, clamp)
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}
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static nearestPointOnLineSegment(
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a: Vector,
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p0: Vector,
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p1: Vector,
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clamp = true
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): Vector {
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const delta = Vector.sub(p1, p0)
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const length = delta.len()
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const u = Vector.div(delta, length)
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const pt = Vector.add(p0, Vector.mul(u, Vector.pry(Vector.sub(a, p0), u)))
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if (clamp) {
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const da = p0.dist(pt)
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const db = p1.dist(pt)
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if (db < da && da > length) return p1
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if (da < db && db > length) return p0
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}
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return pt
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}
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distanceToLineSegment(p0: Vector, p1: Vector, clamp = true): number {
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return Vector.distanceToLineSegment(this, p0, p1, clamp)
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}
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static distanceToLineSegment(
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a: Vector,
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p0: Vector,
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p1: Vector,
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clamp = true
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): number {
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return Vector.dist(a, Vector.nearestPointOnLineSegment(a, p0, p1, clamp))
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}
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}
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