public static void SetUp()
{
double a = 5;
CartesianCoordinate localOrigin = new CartesianCoordinate(xOffset, yOffset);
Angle rotation = Angle.Origin();
curve = new ParabolicCurve(a, localOrigin, rotation, Tolerance);
}
public static void YsAtX_Out_of_Range_Return_Empty_Arrays(double xCoord, double x, double y, double rotation)
{
CartesianCoordinate center = new CartesianCoordinate(x, y);
ParabolicCurve curve = new ParabolicCurve(a, center, rotation, Tolerance);
double[] yCoords = curve.YsAtX(xCoord);
Assert.AreEqual(0, yCoords.Length);
}
public static void YatX(double xCoord, double x, double y, double rotation, double yCoordExpected)
{
CartesianCoordinate center = new CartesianCoordinate(x, y);
ParabolicCurve curve = new ParabolicCurve(a, center, rotation, Tolerance);
double yCoord = curve.YatX(xCoord);
Assert.AreEqual(yCoordExpected, yCoord, Tolerance);
}
public static void YatX_Out_of_Range_Return_Infinity(double xCoord, double x, double y, double rotation)
{
CartesianCoordinate center = new CartesianCoordinate(x, y);
ParabolicCurve curve = new ParabolicCurve(a, center, rotation, Tolerance);
double yCoord = curve.YatX(xCoord);
Assert.AreEqual(double.PositiveInfinity, yCoord);
}
public static void XsAtY(double yCoord, double x, double y, double rotation, double x1CoordExpected, double x2CoordExpected)
{
CartesianCoordinate center = new CartesianCoordinate(x, y);
ParabolicCurve curve = new ParabolicCurve(a, center, rotation, Tolerance);
double[] xCoords = curve.XsAtY(yCoord);
Assert.AreEqual(x1CoordExpected, xCoords[0], Tolerance);
Assert.AreEqual(x2CoordExpected, xCoords[1], Tolerance);
}
public static void Initialization_at_Local_Origin_with_Distances()
{
// Expected Complex Results
CartesianCoordinate center = CartesianCoordinate.Origin();
Angle rotation = Angle.Origin();
double a = 5;
double b = 2 * a;
double c = a;
double e = 1;
double p = 2 * a;
double xe = a;
CartesianCoordinate vertexMajor1 = center;
CartesianCoordinate vertexMinor1 = new CartesianCoordinate(a, b, Tolerance);
CartesianCoordinate vertexMinor2 = new CartesianCoordinate(a, -b, Tolerance);
CartesianCoordinate focus1 = new CartesianCoordinate(c, 0, Tolerance);
CartesianCoordinate directrix1I = new CartesianCoordinate(-xe, 0, Tolerance);
CartesianCoordinate directrix1J = new CartesianCoordinate(-xe, 1, Tolerance);
// Initialization
ParabolicCurve curve = new ParabolicCurve(a, center, rotation, Tolerance);
// Simple properties
Assert.AreEqual(0, curve.DistanceFromVertexMajorToLocalOrigin, Tolerance);
Assert.AreEqual(b, curve.DistanceFromVertexMinorToMajorAxis, Tolerance);
Assert.AreEqual(a, curve.DistanceFromFocusToLocalOrigin, Tolerance);
Assert.AreEqual(e, curve.Eccentricity, Tolerance);
Assert.AreEqual(p, curve.SemilatusRectumDistance, Tolerance);
Assert.AreEqual(xe, curve.DistanceFromDirectrixToLocalOrigin, Tolerance);
Assert.AreEqual(c + xe, curve.DistanceFromFocusToDirectrix, Tolerance);
// Position properties
Assert.AreEqual(Angle.Origin(), curve.Rotation);
Assert.AreEqual(focus1, curve.Focus);
Assert.AreEqual(center, curve.LocalOrigin);
// Coordinate properties
Assert.AreEqual(vertexMajor1, curve.VerticesMajor.Item1);
Assert.AreEqual(vertexMajor1, curve.VerticesMajor.Item2);
Assert.AreEqual(vertexMinor1, curve.VerticesMinor.Item1);
Assert.AreEqual(vertexMinor2, curve.VerticesMinor.Item2);
Assert.AreEqual(directrix1I, curve.Directrix.ControlPointI);
Assert.AreEqual(directrix1J, curve.Directrix.ControlPointJ);
Assert.AreEqual(vertexMajor1, curve.Range.Start.Limit);
Assert.AreEqual(vertexMajor1, curve.Range.End.Limit);
}
public static void CloneCurve()
{
ParabolicCurve curveCloned = curve.CloneCurve();
Assert.AreEqual(curve.Focus, curveCloned.Focus);
Assert.AreEqual(curve.Directrix.ControlPointI, curveCloned.Directrix.ControlPointI);
Assert.AreEqual(curve.Directrix.ControlPointJ, curveCloned.Directrix.ControlPointJ);
Assert.AreEqual(curve.DistanceFromDirectrixToLocalOrigin, curveCloned.DistanceFromDirectrixToLocalOrigin, Tolerance);
Assert.AreEqual(curve.DistanceFromFocusToDirectrix, curveCloned.DistanceFromFocusToDirectrix, Tolerance);
Assert.AreEqual(curve.DistanceFromFocusToLocalOrigin, curveCloned.DistanceFromFocusToLocalOrigin, Tolerance);
Assert.AreEqual(curve.DistanceFromVertexMajorToLocalOrigin, curveCloned.DistanceFromVertexMajorToLocalOrigin, Tolerance);
Assert.AreEqual(curve.DistanceFromVertexMinorToMajorAxis, curveCloned.DistanceFromVertexMinorToMajorAxis, Tolerance);
Assert.AreEqual(curve.SemilatusRectumDistance, curveCloned.SemilatusRectumDistance, Tolerance);
Assert.AreEqual(curve.Eccentricity, curveCloned.Eccentricity, Tolerance);
Assert.AreEqual(curve.LocalOrigin, curveCloned.LocalOrigin);
Assert.AreEqual(curve.Rotation, curveCloned.Rotation);
Assert.AreEqual(curve.VerticesMajor.Item1, curveCloned.VerticesMajor.Item1);
Assert.AreEqual(curve.VerticesMajor.Item2, curveCloned.VerticesMajor.Item2);
Assert.AreEqual(curve.VerticesMinor.Item1, curveCloned.VerticesMinor.Item1);
Assert.AreEqual(curve.VerticesMinor.Item2, curveCloned.VerticesMinor.Item2);
Assert.AreEqual(curve.Range.Start.Limit, curveCloned.Range.Start.Limit);
Assert.AreEqual(curve.Range.End.Limit, curveCloned.Range.End.Limit);
}
/// <summary>
/// Initializes a new instance of the <see cref="ParabolicParametricY"/> class.
/// </summary>
/// <param name="parent">The parent.</param>
public ParabolicParametricY(ParabolicCurve parent) : base(parent)
{
}
public ParabolicFocusParametricX(ParabolicCurve parent) : base(parent)
{
}
/// <summary>
/// Initializes a new instance of the <see cref="ParabolicCurveParametric" /> class.
/// </summary>
/// <param name="parent">The parent object whose properties are used in the associated parametric equations.</param>
public ParabolicCurveParametric(ParabolicCurve parent)
{
_x = new ParabolicParametricX(parent);
_y = new ParabolicParametricY(parent);
}
