public static bool IsGreaterThan <TAlgebraicNumber>(
this IAlgebraicNumberCalculator <TAlgebraicNumber> calculator,
TAlgebraicNumber number1,
TAlgebraicNumber number2)
{
if (calculator is null)
{
throw new ArgumentNullException(nameof(calculator));
}
return(calculator.IsNegative(calculator.Subtract(number2, number1)));
}
internal bool BelongsToShortestRange(DirectionRange <TAlgebraicNumber> directions)
{
var determinant = directions.Start.Determinant(directions.End);
if (_calculator.IsStrictlyPositive(determinant))
{
return(_calculator.IsStrictlyPositive(directions.Start.Determinant(this)) &&
_calculator.IsStrictlyPositive(Determinant(directions.End)));
}
if (_calculator.IsNegative(determinant))
{
return
(_calculator.IsStrictlyNegative(directions.Start.Determinant(this)) &&
_calculator.IsStrictlyNegative(Determinant(directions.End)));
}
return(false);
}
internal bool IsShortestRange()
{
if (IsDegenerate())
{
return(false);
}
return(Orientation switch
{
Orientation.Clockwise =>
_calculator.IsNegative(Start.Determinant(End)),
Orientation.CounterClockwise =>
_calculator.IsStrictlyPositive(Start.Determinant(End)),
var orientation => throw new NotSupportedException(
"Only clockwise and counterclockwise arc orientations are supported, "
+ $"but got {orientation}.")
});