/// <summary>
/// Raises <paramref name="value"/> to the power specified by <paramref name="exponent"/>.
/// </summary>
/// <param name="value">Number to raise.</param>
/// <param name="exponent">Exponent to raise by.</param>
/// <returns>Result of raising <paramref name="value"/> to the <paramref name="exponent"/> power.</returns>
public static BigRational Pow(BigRational value, int exponent)
{
if (exponent > 0)
{
return(new BigRational(BigInteger.Pow(value.Numerator, exponent), BigInteger.Pow(value.Denominator, exponent)));
}
if (exponent < 0)
{
int exp = Math.Abs(exponent);
return(new BigRational(BigInteger.Pow(value.Denominator, exp), BigInteger.Pow(value.Numerator, exp)));
}
return(One);
}
/// <summary> /// Returns the base <paramref name="base"/> logarithm of a specified number. /// </summary> /// <param name="value">Number whose logarithm is to be found.</param> /// <param name="base">Base of the logarithm.</param> /// <returns>The base <paramref name="base"/> logarithm of <paramref name="value"/>.</returns> public static double Log(BigRational value, double @base) => BigInteger.Log(value.Numerator, @base) - BigInteger.Log(value.Denominator, @base);
/// <summary> /// Returns the natural logarithm of a specified number. /// </summary> /// <param name="value">Number whose logarithm is to be found.</param> /// <returns>The natural logarithm of <paramref name="value"/>.</returns> public static double Log(BigRational value) => BigInteger.Log(value.Numerator) - BigInteger.Log(value.Denominator);
/// <summary> /// Gets the absolute value of a <paramref name="value"/>. /// </summary> /// <param name="value">A number.</param> /// <returns>Absolute value of <paramref name="value"/>.</returns> public static BigRational Abs(BigRational value) => new BigRational(BigInteger.Abs(value.Numerator), BigInteger.Abs(value.Denominator));
