public void TwoKeyCurvesTest()
{
Path2F curve = new Path2F();
curve.Add(new PathKey2F()
{
Parameter = 1,
Point = new Vector2F(1, 2),
Interpolation = SplineInterpolation.CatmullRom,
});
curve.Add(new PathKey2F()
{
Parameter = 3,
Point = new Vector2F(3, 4),
Interpolation = SplineInterpolation.CatmullRom,
});
curve.PreLoop = CurveLoopType.Constant;
curve.PostLoop = CurveLoopType.Constant;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(2, 3), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(3, 4), curve.GetPoint(3));
Assert.AreEqual(new Vector2F(3, 4), curve.GetPoint(4));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(1, 1), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(1, 1), curve.GetTangent(2));
Assert.AreEqual(new Vector2F(1, 1), curve.GetTangent(3));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(4));
Assert.IsTrue(Numeric.AreEqual(new Vector2F(2, 2).Length, curve.GetLength(0, 4, 10, 0.01f), 0.01f));
curve.PreLoop = CurveLoopType.Linear;
curve.PostLoop = CurveLoopType.Linear;
curve.PreLoop = CurveLoopType.Cycle;
curve.PostLoop = CurveLoopType.Cycle;
curve.PreLoop = CurveLoopType.CycleOffset;
curve.PostLoop = CurveLoopType.CycleOffset;
curve.PreLoop = CurveLoopType.Oscillate;
curve.PostLoop = CurveLoopType.Oscillate;
}
public void GetTangentShouldReturnZeroIfPathIsEmpty()
{
Path2F empty = new Path2F();
empty.Sort();
Assert.AreEqual(Vector2F.Zero, empty.GetTangent(-0.5f));
Assert.AreEqual(Vector2F.Zero, empty.GetTangent(0));
Assert.AreEqual(Vector2F.Zero, empty.GetTangent(0.5f));
}
public void OneKeyCurvesTest()
{
// Test linear curves with 1 point
Path2F curve = new Path2F();
curve.Add(new PathKey2F()
{
Parameter = 1,
Point = new Vector2F(1, 2),
Interpolation = SplineInterpolation.Linear,
});
curve.PreLoop = CurveLoopType.Constant;
curve.PostLoop = CurveLoopType.Constant;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Linear;
curve.PostLoop = CurveLoopType.Linear;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Cycle;
curve.PostLoop = CurveLoopType.Cycle;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.CycleOffset;
curve.PostLoop = CurveLoopType.CycleOffset;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Oscillate;
curve.PostLoop = CurveLoopType.Oscillate;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
// Test step curves with 1 point
curve = new Path2F();
curve.Add(new PathKey2F()
{
Parameter = 1,
Point = new Vector2F(1, 2),
Interpolation = SplineInterpolation.StepLeft,
});
curve.PreLoop = CurveLoopType.Constant;
curve.PostLoop = CurveLoopType.Constant;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Linear;
curve.PostLoop = CurveLoopType.Linear;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Cycle;
curve.PostLoop = CurveLoopType.Cycle;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.CycleOffset;
curve.PostLoop = CurveLoopType.CycleOffset;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Oscillate;
curve.PostLoop = CurveLoopType.Oscillate;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
// Test B-spline curves with 1 point
curve = new Path2F();
curve.Add(new PathKey2F()
{
Parameter = 1,
Point = new Vector2F(1, 2),
Interpolation = SplineInterpolation.BSpline,
});
curve.PreLoop = CurveLoopType.Constant;
curve.PostLoop = CurveLoopType.Constant;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Linear;
curve.PostLoop = CurveLoopType.Linear;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Cycle;
curve.PostLoop = CurveLoopType.Cycle;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.CycleOffset;
curve.PostLoop = CurveLoopType.CycleOffset;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Oscillate;
curve.PostLoop = CurveLoopType.Oscillate;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
// Test Catmull-Rom curves with 1 point
curve = new Path2F();
curve.Add(new PathKey2F()
{
Parameter = 1,
Point = new Vector2F(1, 2),
Interpolation = SplineInterpolation.CatmullRom,
});
curve.PreLoop = CurveLoopType.Constant;
curve.PostLoop = CurveLoopType.Constant;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Linear;
curve.PostLoop = CurveLoopType.Linear;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Cycle;
curve.PostLoop = CurveLoopType.Cycle;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.CycleOffset;
curve.PostLoop = CurveLoopType.CycleOffset;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Oscillate;
curve.PostLoop = CurveLoopType.Oscillate;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
// Test Hermite curves with 1 point
curve = new Path2F();
curve.Add(new PathKey2F()
{
Parameter = 1,
Point = new Vector2F(1, 2),
Interpolation = SplineInterpolation.Hermite,
TangentIn = new Vector2F(2, -2),
TangentOut = new Vector2F(2, 2),
});
curve.PreLoop = CurveLoopType.Constant;
curve.PostLoop = CurveLoopType.Constant;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 20, 0.01f));
curve.PreLoop = CurveLoopType.Constant;
curve.PostLoop = CurveLoopType.Linear;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(3, 4), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(2, 2), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(2, 2), curve.GetTangent(2));
Assert.IsTrue(Numeric.AreEqual(new Vector2F(2, 2).Length, curve.GetLength(0, 2, 10, 0.01f), 0.1f));
curve.PreLoop = CurveLoopType.Linear;
curve.PostLoop = CurveLoopType.Constant;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(-1, 4), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(2, -2), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(2, -2), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.IsTrue(Numeric.AreEqual(new Vector2F(2, 2).Length, curve.GetLength(0, 2, 10, 0.01f), 0.1f));
curve.PreLoop = CurveLoopType.Linear;
curve.PostLoop = CurveLoopType.Linear;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(-1, 4), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(3, 4), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(2, -2), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(2, 2), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(2, 2), curve.GetTangent(2));
Assert.IsTrue(Numeric.AreEqual(new Vector2F(4, 4).Length, curve.GetLength(0, 2, 10, 0.01f), 0.1f));
curve.PreLoop = CurveLoopType.Cycle;
curve.PostLoop = CurveLoopType.Cycle;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.CycleOffset;
curve.PostLoop = CurveLoopType.CycleOffset;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Oscillate;
curve.PostLoop = CurveLoopType.Oscillate;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
// Test Bezier curves with 1 point
curve = new Path2F();
curve.Add(new PathKey2F()
{
Parameter = 1,
Point = new Vector2F(1, 2),
Interpolation = SplineInterpolation.Bezier,
TangentIn = new Vector2F(1, 2) - new Vector2F(2, -2) / 3,
TangentOut = new Vector2F(1, 2) + new Vector2F(2, 2) / 3,
});
curve.PreLoop = CurveLoopType.Constant;
curve.PostLoop = CurveLoopType.Constant;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Constant;
curve.PostLoop = CurveLoopType.Linear;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(3, 4), curve.GetPoint(2)));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(2, 2), curve.GetTangent(1)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(2, 2), curve.GetTangent(2)));
Assert.IsTrue(Numeric.AreEqual(new Vector2F(2, 2).Length, curve.GetLength(0, 2, 10, 0.01f), 0.1f));
curve.PreLoop = CurveLoopType.Linear;
curve.PostLoop = CurveLoopType.Constant;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(-1, 4), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(2, -2), curve.GetTangent(0)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(2, -2), curve.GetTangent(1)));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.IsTrue(Numeric.AreEqual(new Vector2F(2, 2).Length, curve.GetLength(0, 2, 10, 0.01f), 0.1f));
curve.PreLoop = CurveLoopType.Linear;
curve.PostLoop = CurveLoopType.Linear;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(-1, 4), curve.GetPoint(0));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(3, 4), curve.GetPoint(2)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(2, -2), curve.GetTangent(0)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(2, 2), curve.GetTangent(1)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(2, 2), curve.GetTangent(2)));
Assert.IsTrue(Numeric.AreEqual(new Vector2F(4, 4).Length, curve.GetLength(0, 2, 10, 0.01f), 0.1f));
curve.PreLoop = CurveLoopType.Cycle;
curve.PostLoop = CurveLoopType.Cycle;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.CycleOffset;
curve.PostLoop = CurveLoopType.CycleOffset;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
curve.PreLoop = CurveLoopType.Oscillate;
curve.PostLoop = CurveLoopType.Oscillate;
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(1));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(0));
Assert.AreEqual(new Vector2F(1, 2), curve.GetPoint(2));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(0));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(1));
Assert.AreEqual(new Vector2F(0, 0), curve.GetTangent(2));
Assert.AreEqual(0, curve.GetLength(0, 2, 10, 0.01f));
}
public void GetTangent()
{
Path2F path = CreatePath();
path.PreLoop = CurveLoopType.Constant;
path.PostLoop = CurveLoopType.Oscillate;
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(0, 0), path.GetTangent(-10)));
Assert.IsTrue(Vector2F.AreNumericallyEqual((new Vector2F(1, 2) - new Vector2F(0, 1)) / 2, path.GetTangent(10)));
Assert.IsTrue(Vector2F.AreNumericallyEqual((new Vector2F(1, 2) - new Vector2F(0, 1)) / 2, path.GetTangent(11.5f)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(0, 0), path.GetTangent(16)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(0, 0), path.GetTangent(85)));
CatmullRomSegment2F catmullOscillate = new CatmullRomSegment2F()
{
Point1 = new Vector2F(10, 12),
Point2 = new Vector2F(10, 14),
Point3 = new Vector2F(20, 14),
Point4 = new Vector2F(30, 14),
};
Assert.IsTrue(Vector2F.AreNumericallyEqual(catmullOscillate.GetTangent(0.3f) / 10.0f, path.GetTangent(43)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(-catmullOscillate.GetTangent(0.7f) / 10.0f, path.GetTangent(53)));
path.PreLoop = CurveLoopType.Linear;
path.PostLoop = CurveLoopType.Cycle;
Assert.IsTrue(Vector2F.AreNumericallyEqual((new Vector2F(1, 2) - new Vector2F(0, 1)) / 2, path.GetTangent(0)));
path.PreLoop = CurveLoopType.Cycle;
path.PostLoop = CurveLoopType.CycleOffset;
Assert.IsTrue(Vector2F.AreNumericallyEqual(catmullOscillate.GetTangent(0.4f) / 10.0f, path.GetTangent(-36)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(catmullOscillate.GetTangent(0.4f) / 10.0f, path.GetTangent(4)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(catmullOscillate.GetTangent(0.3f) / 10.0f, path.GetTangent(83)));
path.PreLoop = CurveLoopType.CycleOffset;
path.PostLoop = CurveLoopType.Linear;
Assert.IsTrue(Vector2F.AreNumericallyEqual(catmullOscillate.GetTangent(1f) / 10.0f, path.GetTangent(434)));
path.PreLoop = CurveLoopType.Oscillate;
path.PostLoop = CurveLoopType.Constant;
path = new Path2F();
path.Add(new PathKey2F()
{
Parameter = 25,
Point = new Vector2F(6, 7),
Interpolation = SplineInterpolation.Bezier,
TangentIn = new Vector2F(5, 6),
TangentOut = new Vector2F(7, 8),
});
path.Add(new PathKey2F()
{
Parameter = 35,
Point = new Vector2F(10, 12),
Interpolation = SplineInterpolation.Hermite,
TangentIn = new Vector2F(1, 0),
TangentOut = new Vector2F(1, 0),
});
path.PreLoop = CurveLoopType.Linear;
path.PostLoop = CurveLoopType.Linear;
float Δu = path[1].Parameter - path[0].Parameter;
Assert.IsTrue(Vector2F.AreNumericallyEqual((new Vector2F(6, 7) - new Vector2F(5, 6)) * 3 / Δu, path.GetTangent(0)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(1, 0) / Δu, path.GetTangent(100)));
path[1].Parameter = 25;
path[0].Parameter = 35;
path.Sort();
Δu = path[1].Parameter - path[0].Parameter;
Assert.IsTrue(Vector2F.AreNumericallyEqual(new Vector2F(1, 0) / Δu, path.GetTangent(0)));
Assert.IsTrue(Vector2F.AreNumericallyEqual((new Vector2F(7, 8) - new Vector2F(6, 7)) * 3 / Δu, path.GetTangent(100)));
path.Add(new PathKey2F()
{
Parameter = 15,
Point = new Vector2F(0, 0),
Interpolation = SplineInterpolation.BSpline,
});
path.Sort();
}