private static T GreatestCommonDivisor <T>(T one, T two, IArithmetic <T> arithmetic)
{
T big = arithmetic.Max(arithmetic.Abs(one), arithmetic.Abs(two));
T small = arithmetic.Min(arithmetic.Abs(one), arithmetic.Abs(two));
T remainder = arithmetic.Modulo(big, small);
return(arithmetic.Equals(remainder, arithmetic.Zero) ? small : AdvancedMath.GreatestCommonDivisor(small, remainder, arithmetic));
}
/// <summary>
/// Finds the greatest common divisor of two numbers.
/// The greatest common divisor is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The greatest common divisor of the two numbers.</returns>
public static sbyte GreatestCommonDivisor(sbyte one, sbyte two)
{
return(AdvancedMath.GreatestCommonDivisor(one, two, Arithmetics.SByte));
}
/// <summary>
/// Finds the greatest common divisor of two numbers.
/// The greatest common divisor is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The greatest common divisor of the two numbers.</returns>
public static long GreatestCommonDivisor(long one, long two)
{
return(AdvancedMath.GreatestCommonDivisor(one, two, Arithmetics.Int64));
}
/// <summary>
/// Finds the greatest common divisor of two numbers.
/// The greatest common divisor is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The greatest common divisor of the two numbers.</returns>
public static int GreatestCommonDivisor(int one, int two)
{
return(AdvancedMath.GreatestCommonDivisor(one, two, Arithmetics.Int32));
}
/// <summary>
/// Finds the greatest common divisor of two numbers.
/// The greatest common divisor is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The greatest common divisor of the two numbers.</returns>
public static short GreatestCommonDivisor(short one, short two)
{
return(AdvancedMath.GreatestCommonDivisor(one, two, Arithmetics.Int16));
}
/// <summary>
/// Finds the greatest common divisor of two numbers.
/// The greatest common divisor is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The greatest common divisor of the two numbers.</returns>
public static double GreatestCommonDivisor(double one, double two)
{
return(AdvancedMath.GreatestCommonDivisor(one, two, Arithmetics.Double));
}
/// <summary>
/// Finds the greatest common divisor of two numbers.
/// The greatest common divisor is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The greatest common divisor of the two numbers.</returns>
public static decimal GreatestCommonDivisor(decimal one, decimal two)
{
return(AdvancedMath.GreatestCommonDivisor(one, two, Arithmetics.Decimal));
}
private static T LeastCommonMultiple <T>(T one, T two, IArithmetic <T> arithmetic)
{
return(arithmetic.Divide(arithmetic.Abs(arithmetic.Multiply(one, two)), AdvancedMath.GreatestCommonDivisor(one, two, arithmetic)));
}
/// <summary>
/// Finds the least common multiple of two numbers.
/// The least common multiple is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The least common multiple of the two numbers.</returns>
public static ulong LeastCommonMultiple(ulong one, ulong two)
{
return(AdvancedMath.LeastCommonMultiple(one, two, Arithmetics.UInt64));
}
/// <summary>
/// Finds the least common multiple of two numbers.
/// The least common multiple is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The least common multiple of the two numbers.</returns>
public static uint LeastCommonMultiple(uint one, uint two)
{
return(AdvancedMath.LeastCommonMultiple(one, two, Arithmetics.UInt32));
}
/// <summary>
/// Finds the least common multiple of two numbers.
/// The least common multiple is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The least common multiple of the two numbers.</returns>
public static ushort LeastCommonMultiple(ushort one, ushort two)
{
return(AdvancedMath.LeastCommonMultiple(one, two, Arithmetics.UInt16));
}
/// <summary>
/// Finds the least common multiple of two numbers.
/// The least common multiple is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The least common multiple of the two numbers.</returns>
public static float LeastCommonMultiple(float one, float two)
{
return(AdvancedMath.LeastCommonMultiple(one, two, Arithmetics.Single));
}
/// <summary>
/// Finds the least common multiple of two numbers.
/// The least common multiple is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The least common multiple of the two numbers.</returns>
public static sbyte LeastCommonMultiple(sbyte one, sbyte two)
{
return(AdvancedMath.LeastCommonMultiple(one, two, Arithmetics.SByte));
}
/// <summary>
/// Finds the least common multiple of two numbers.
/// The least common multiple is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The least common multiple of the two numbers.</returns>
public static double LeastCommonMultiple(double one, double two)
{
return(AdvancedMath.LeastCommonMultiple(one, two, Arithmetics.Double));
}
/// <summary>
/// Finds the least common multiple of two numbers.
/// The least common multiple is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The least common multiple of the two numbers.</returns>
public static decimal LeastCommonMultiple(decimal one, decimal two)
{
return(AdvancedMath.LeastCommonMultiple(one, two, Arithmetics.Decimal));
}
/// <summary>
/// Finds the greatest common divisor of two numbers.
/// The greatest common divisor is the largest positive integer that divides the numbers without a remainder.
/// </summary>
/// <param name="one">The one.</param>
/// <param name="two">The two.</param>
/// <returns>The greatest common divisor of the two numbers.</returns>
public static float GreatestCommonDivisor(float one, float two)
{
return(AdvancedMath.GreatestCommonDivisor(one, two, Arithmetics.Single));
}