64 lines
2.0 KiB
C#
64 lines
2.0 KiB
C#
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using LensSimulatorCore.Shapes;
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namespace LensSimulatorCore.Optical;
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internal abstract class SphericalSurface : Surface
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{
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protected Circle face;
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public override void UpdateSurfacePositions()
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{
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SideSign = IsFront ? -1 : 1;
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QuadraticSign = IsFront ? -1 * Math.Sign(face.Radius) : 1 * Math.Sign(face.Radius);
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face.Position = new Point((IsFront ? 1 : -1) * (face.Radius - (Parent.Depth / 2)), 0);
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}
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public override Point FindIntersection(PointVector pointVector)
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{
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//Convert point vector to a line.
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var line = pointVector.ToLine();
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var xs2 = (face.Position.X * -2);
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var ys2 = (face.Position.Y * -2);
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double a, b, c;
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//Creates a quadratic formula via substitution of a Line and a Circle equation.
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a = 1 + (Math.Pow(line.B, 2));
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b = xs2 + (ys2 * line.B) + (line.B * line.C * 2);
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c = Math.Pow(line.C, 2) + (line.C * ys2) + Math.Pow(face.Position.X * -1, 2) + Math.Pow(face.Position.Y * -1, 2) - Math.Pow(face.Radius, 2);
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var x = (-b + QuadraticSign * Math.Sqrt(Math.Pow(b, 2) - 4 * a * c)) / (2 * a);
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var y = (x * line.B) + line.C;
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return new Point(x, y);
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}
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/// <summary>
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/// Generates a PolyLine, which can be merged with another to make a full element shape.
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/// </summary>
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public override void GeneratePolyLine()
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{
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const int resolution = 80;
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var arcTotalSweep = Math.Asin((Parent.Diameter / 2) / face.Radius) * 2;
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var arcResolutionSweep = arcTotalSweep / (resolution - 1);
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var arcCentre = new Point(face.Position.X, face.Position.Y);
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for (var i = 0; i < resolution; i++)
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{
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var currentAngle = (SideSign * arcTotalSweep / 2) + -SideSign * (arcResolutionSweep * i);
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var x = Math.Cos(currentAngle) * SideSign * face.Radius + arcCentre.X;
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var y = Math.Sin(currentAngle) * face.Radius;
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PolyLine.Add(new Point(x, y));
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}
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}
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protected SphericalSurface(Element parent) : base(parent)
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{
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}
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}
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