/// <summary>
/// Determines if the specified value is coprime to the specified prime number.
/// </summary>
/// <param name="value">The value to be tested.</param>
/// <param name="primeValue">The prime number to test against.</param>
/// <returns>True if the value is coprime to the prime number, otherwise, false.</returns>
public static bool IsCoprimeToPrime(this long value, long primeValue)
{
if (primeValue < 2)
{
throw new ArgumentOutOfRangeException("primeValue");
}
return(UlongExtensions.IsCoprimeToPrime(AbsUlong(value), (ulong)primeValue));
}
/// <summary>
/// Compute the mod of a number raised to the specified power.
/// </summary>
/// <remarks>Overflow safe for all input values. </remarks>
/// <param name="b">The base number.</param>
/// <param name="e">The exponent applied to the base number.</param>
/// <param name="m">The modulo value.</param>
/// <returns>The mod of the base number raised to the specified power.</returns>
public static long ModPow(long b, long e, long m)
{
if (e < 0 || m < 1)
{
return(-1);
}
ulong bu = AbsUlong(b);
long result = (long)UlongExtensions.ModPow(bu, (ulong)e, (ulong)m);
if (((e & 1) == 0) && (b < 0))
{
result = -result;
}
return(result);
}
/// <summary>
/// Computes the greatest common divisor of two values.
/// </summary>
/// <param name="value1">The value.</param></param></param>
/// <param name="value2">The other value.</param>
/// <returns>The greatest common divisor of the two values.</returns>
public static long Gcd(this long value1, long value2)
{
return((long)UlongExtensions.Gcd(AbsUlong(value1), AbsUlong(value2)));
}