public LineSegment(PointF start, PointF end) : base(Angle.ATan(start.subtract(end).Quotient()).Normalize(), new PointF(0, 0))
{
this.Points = new Tuple <PointF, PointF>(start, end);
}
public override bool iswithinbounds(PointF p)
{
Angle ang = Angle.ATan(p.subtract(this.Origin).Quotient()).Normalize();
return((ang - this.Slope).InUnits(Angle.Turn).abs() <= 0.1);
}
/// <summary>
/// if polar, v1 is Angle in radians, v2 is Tadius
/// if rect, v1 is real, v2 is imaginary
/// </summary>
public ComplexNumber(double v1, double v2, ComplexRepresentations r = ComplexRepresentations.Rectangular)
{
switch (r)
{
case ComplexRepresentations.Rectangular:
_real = new Lazy <double>(() => v1);
_imag = new Lazy <double>(() => v2);
_radius = new Lazy <double>(() => Math.Sqrt(RealPart * RealPart + ImaginaryPart * ImaginaryPart));
_angle = new Lazy <Angle>(() => Radius == 0 ? new Angle(0, Angle.Turn) : Angle.ATan(ImaginaryPart, RealPart));
break;
case ComplexRepresentations.Polar:
if (v2 < 0)
{
v2 = -v2;
v1 = v1 + Math.PI / 2;
}
_radius = new Lazy <double>(() => v2);
_angle = new Lazy <Angle>(() => Radius == 0 ? new Angle(0) : new Angle(v1, true));
_real = new Lazy <double>(() => Radius * Angle.Cos());
_imag = new Lazy <double>(() => Radius * Angle.Sin());
break;
default:
throw new Exception("unrecognized representation");
}
}