math.ts

export const ceil = Math.ceil
export const floor = Math.floor
export const pow = Math.pow
export const sqrt = Math.sqrt
export const sin = Math.sin
export const sinh = Math.sinh
export const asinh = Math.asinh
export const asin = Math.asin
export const cos = Math.cos
export const acos = Math.acos
export const tan = Math.tan
export const tanh = Math.tanh
export const atan = Math.atan
export const atan2 = Math.atan2
export const min = Math.min
export const max = Math.max
export const abs = Math.abs
export const exp = Math.exp
export const log = Math.log
export const log10 = Math.log10
export const log2 = Math.log2
export const rand = Math.random
export const PI = Math.PI
export const Tau = 2 * PI
export const epsilon = 0.0001
export const deg2Rad = Tau / 360
export const rad2Deg = 360 / Tau
export const round = Math.round
export const one60x18 = 10n ** 18n

export const toRad = (value: number): number => (value * PI) / 180
export const toDeg = (value: number): number => (value * 180) / PI

// Linear mapping from range <a1, a2> to range <b1, b2>
export function fit(
  x: number,
  oldMin: number,
  oldMax: number,
  newMin: number,
  newMax: number,
): number {
  return newMin + ((x - oldMin) * (newMax - newMin)) / (oldMax - oldMin)
}

export function fit01(x: number, newMin: number, newMax: number): number {
  return fit(x, 0, 1, newMin, newMax)
}

export function roundFit01(x: number, newMin: number, newMax: number): number {
  return round(fit01(x, newMin, newMax))
}

export function fitMax(x: number, newMax: number): number {
  return fit01(x, 0, newMax)
}

export function clamp(v: number, minimum: number, maximum: number): number {
  let realMin = minimum
  let realMax = maximum
  if (maximum < realMin) {
    realMin = maximum
    realMax = minimum
  }
  return max(realMin, min(realMax, v))
}

export function clampFit(
  x: number,
  oldMin: number,
  oldMax: number,
  newMin: number,
  newMax: number,
): number {
  const f = fit(x, oldMin, oldMax, newMin, newMax)
  return clamp(f, newMin, newMax)
}

export function clampFit01(x: number, newMin: number, newMax: number): number {
  const f = fit01(x, newMin, newMax)
  return clamp(f, newMin, newMax)
}

export function clamp01(v: number): number {
  return clamp(v, 0, 1)
}

export function fitArray(
  arr: ArrayLike<number>,
  oldMin: number,
  oldMax: number,
  newMin: number,
  newMax: number,
): Array<number> {
  const l = arr.length
  const out = new Array<number>(l)
  for (let i = 0; i < l; i++) {
    out[i] = fit(arr[i], oldMin, oldMax, newMin, newMax)
  }
  return out
}

export function randRange(min: number, max: number, int = false): number {
  const n = clamp(rand() * max, min, max)
  if (int) return floor(n)
  return n
}

export const alphaNumeric = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789'

export function randID(length = 16): string {
  const result = new Array<string>()
  for (let i = 0; i < length; i++) {
    result.push(alphaNumeric.charAt(Math.floor(Math.random() * alphaNumeric.length)))
  }
  return result.join('')
}