/// <summary>
/// Method for dividing current field element by field element <paramref name="b"/>
/// </summary>
/// <param name="b">Divider</param>
/// <returns>Quotient</returns>
public FieldElement Divide(FieldElement b)
{
ValidateArgument(b);
if (b.Representation == 0)
{
throw new ArgumentException("Cannot divide by zero");
}
Representation = Field.Divide(Representation, b.Representation);
return(this);
}
/// <summary>
/// Constructor for creation copy of element <paramref name="element"/>
/// </summary>
/// <param name="element">Copied field element</param>
public FieldElement(FieldElement element)
{
Field = element.Field;
Representation = element.Representation;
}
/// <summary>
/// Inverts field element <paramref name="a"/> for multiplication
/// </summary>
/// <param name="a">Invetible element</param>
/// <returns>Inversed element</returns>
public static FieldElement InverseForMultiplication(FieldElement a)
{
var b = new FieldElement(a);
return(b.InverseForMultiplication());
}
/// <summary>
/// Exponentiation of field element <paramref name="a"/> to the degree <paramref name="degree"/>
/// </summary>
/// <param name="a">Element for exponentiation</param>
/// <param name="degree">Power for exponentiation</param>
public static FieldElement Pow(FieldElement a, int degree)
{
var c = new FieldElement(a);
return(c.Pow(degree));
}
/// <summary>
/// Method for dividing field element <paramref name="a"/> by field element <paramref name="b"/>
/// </summary>
/// <param name="a">Dividend</param>
/// <param name="b">Divider</param>
/// <returns>Quotient</returns>
public static FieldElement Divide(FieldElement a, FieldElement b)
{
var c = new FieldElement(a);
return(c.Divide(b));
}
/// <summary>
/// Method for multiplying field element <paramref name="a"/> to field element <paramref name="b"/>
/// </summary>
/// <param name="a">First factor</param>
/// <param name="b">Second factor</param>
/// <returns>Product</returns>
public static FieldElement Multiply(FieldElement a, FieldElement b)
{
var c = new FieldElement(a);
return(c.Multiply(b));
}
/// <summary>
/// Method for subtracting field element <paramref name="b"/> from field element <paramref name="a"/>
/// </summary>
/// <param name="a">Minuend</param>
/// <param name="b">Subtrahend</param>
/// <returns>Difference</returns>
public static FieldElement Subtract(FieldElement a, FieldElement b)
{
var c = new FieldElement(a);
return(c.Subtract(b));
}
/// <summary>
/// Method for adding field element <paramref name="a"/> to field element <paramref name="b"/>
/// </summary>
/// <param name="a">First term</param>
/// <param name="b">Second term</param>
/// <returns>Sum</returns>
public static FieldElement Add(FieldElement a, FieldElement b)
{
var c = new FieldElement(a);
return(c.Add(b));
}
/// <summary>
/// Method for checking the equality of the current field element to the <paramref name="other"/>
/// </summary>
/// <param name="other">Another field element</param>
/// <returns>Checking result</returns>
private bool Equals(FieldElement other)
{
return(Equals(Field, other.Field) && Representation == other.Representation);
}