export function roundToSignificantFigures(num: number, sig: number): number {
  if (num === 0) return 0;
  const magnitude = Math.floor(Math.log10(Math.abs(num)));
  const factor = Math.pow(10, sig - magnitude - 1);
  return Math.round(num * factor) / factor;
}

export function calcBayesFactorFromPartialMatchWeight(omega: number): number {
  return Math.pow(2, omega);
}

export function calcProbabilityFromPartialMatchWeight(omega: number): number {
  const bf = calcBayesFactorFromPartialMatchWeight(omega);
  return bf / (1 + bf);
}

export function calcBayesFactorFromProbability(p: number): number {
  return p / (1 - p);
}

export function calcPartialMatchWeightFromBayesFactor(bf: number): number {
  return Math.log2(bf);
}

export function calcPartialMatchWeightFromProbability(p: number): number {
  const bf = calcBayesFactorFromProbability(p);
  return calcPartialMatchWeightFromBayesFactor(bf);
}

export function calcProbabilityFromPartialMatchWeightInverse(
  omega: number
): number {
  const bf = calcBayesFactorFromPartialMatchWeight(omega);
  return 1 / (1 + 1 / bf);
}

export function calcBayesFactorFromMandU(m: number, u: number): number {
  return m / u;
}