public TAlgebraicNumber Determinant(Direction <TAlgebraicNumber> other)
{
if (other is null)
{
throw new ArgumentNullException(nameof(other));
}
var a = _calculator.Multiply(X, other.Y);
var b = _calculator.Multiply(Y, other.X);
return(_calculator.Subtract(a, b));
}
public static bool IsStrictlySmallerThan <TAlgebraicNumber>(
this IAlgebraicNumberCalculator <TAlgebraicNumber> calculator,
TAlgebraicNumber number1,
TAlgebraicNumber number2)
{
if (calculator is null)
{
throw new ArgumentNullException(nameof(calculator));
}
return(calculator.IsStrictlyPositive(calculator.Subtract(number2, number1)));
}
public static bool AreEqual <TAlgebraicNumber>(
this IAlgebraicNumberCalculator <TAlgebraicNumber> calculator,
TAlgebraicNumber number1,
TAlgebraicNumber number2)
{
if (calculator is null)
{
throw new ArgumentNullException(nameof(calculator));
}
return(calculator.IsZero(calculator.Subtract(number2, number1)));
}
public static bool AreClose <TAlgebraicNumber>(
this IAlgebraicNumberCalculator <TAlgebraicNumber> calculator,
TAlgebraicNumber number1,
TAlgebraicNumber number2,
TAlgebraicNumber tolerance)
{
if (calculator is null)
{
throw new ArgumentNullException(nameof(calculator));
}
var absoluteDifference = calculator.Abs(calculator.Subtract(number2, number1));
return(calculator.IsSmallerThan(absoluteDifference, tolerance));
}
public Direction <TAlgebraicNumber> DirectionTo(Point <TAlgebraicNumber> target) =>
new Direction <TAlgebraicNumber>(
_calculator,
_calculator.Subtract(target.X, X),
_calculator.Subtract(target.Y, Y));