public void GetLength()
{
Path2F empty = new Path2F();
empty.Sort();
Assert.AreEqual(0, empty.GetLength(0, 1, 100, 0.0001f));
Path2F path = CreatePath();
path.PreLoop = CurveLoopType.Constant;
path.PostLoop = CurveLoopType.Oscillate;
Assert.IsTrue(Numeric.AreEqual((new Vector2F(0, 1) - new Vector2F(1, 2)).Length, path.GetLength(-1, 12, 100, 0.0001f), 0.001f));
Assert.IsTrue(Numeric.AreEqual((new Vector2F(0, 1) - new Vector2F(1, 2)).Length, path.GetLength(-1, 20, 100, 0.0001f), 0.001f));
CatmullRomSegment2F catmullOscillate = new CatmullRomSegment2F()
{
Point1 = new Vector2F(10, 12),
Point2 = new Vector2F(10, 14),
Point3 = new Vector2F(20, 14),
Point4 = new Vector2F(30, 14),
};
float desiredLength = catmullOscillate.GetLength(0, 1, 20, 0.0001f);
float actualLength = path.GetLength(40, 50, 20, 0.0001f);
Assert.IsTrue(Numeric.AreEqual(desiredLength, actualLength, 0.001f));
desiredLength = catmullOscillate.GetLength(1, 0.8f, 20, 0.0001f);
actualLength = path.GetLength(52, 50, 20, 0.0001f);
Assert.IsTrue(Numeric.AreEqual(desiredLength, actualLength, 0.001f));
desiredLength = catmullOscillate.GetLength(1, 0.8f, 20, 0.0001f) * 2;
actualLength = path.GetLength(52, 48, 20, 0.0001f);
Assert.IsTrue(Numeric.AreEqual(desiredLength, actualLength, 0.001f));
path.PreLoop = CurveLoopType.Linear;
path.PostLoop = CurveLoopType.Cycle;
path.PreLoop = CurveLoopType.Cycle;
path.PostLoop = CurveLoopType.CycleOffset;
path.PreLoop = CurveLoopType.CycleOffset;
path.PostLoop = CurveLoopType.Linear;
path.PreLoop = CurveLoopType.Oscillate;
path.PostLoop = CurveLoopType.Constant;
}
public void ParameterizeByLength()
{
Path2F empty = new Path2F();
empty.Sort();
empty.ParameterizeByLength(20, 0.001f); // No exception, do nothing.
Path2F path = CreatePath();
Path2F lengthPath = CreatePath();
lengthPath.ParameterizeByLength(20, 0.001f);
float length = (lengthPath[1].Point - lengthPath[0].Point).Length;
Assert.AreEqual(0, lengthPath[0].Parameter);
Assert.AreEqual(length, lengthPath[1].Parameter);
Assert.AreEqual(length, lengthPath[2].Parameter);
Assert.AreEqual(length, lengthPath[3].Parameter);
float step = 0.001f;
int i = 4;
float u = 20;
Vector2F oldPoint = path.GetPoint(u);
for (; u < 51 && i<10; u += step)
{
if (Numeric.AreEqual(u, path[i].Parameter))
{
Assert.IsTrue(Numeric.AreEqual(length, lengthPath[i].Parameter, 0.01f));
// Set explicit values against numerical problems.
length = lengthPath[i].Parameter;
u = path[i].Parameter;
oldPoint = path.GetPoint(u);
i++;
}
Vector2F newPoint = path.GetPoint(u + step);
length += (newPoint - oldPoint).Length;
oldPoint = newPoint;
}
Assert.AreEqual(10, i); // Have we checked all keys?
path.PreLoop = CurveLoopType.Constant;
path.PostLoop = CurveLoopType.Oscillate;
path.PreLoop = CurveLoopType.Linear;
path.PostLoop = CurveLoopType.Cycle;
path.PreLoop = CurveLoopType.Cycle;
path.PostLoop = CurveLoopType.CycleOffset;
path.PreLoop = CurveLoopType.CycleOffset;
path.PostLoop = CurveLoopType.Linear;
path.PreLoop = CurveLoopType.Oscillate;
path.PostLoop = CurveLoopType.Constant;
}
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();
}
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 GetPointShouldReturnNanIfPathIsEmpty()
{
Path2F empty = new Path2F();
empty.Sort();
Vector2F p = empty.GetPoint(-0.5f);
Assert.IsNaN(p.X);
Assert.IsNaN(p.Y);
p = empty.GetPoint(0);
Assert.IsNaN(p.X);
Assert.IsNaN(p.Y);
p = empty.GetPoint(0.5f);
Assert.IsNaN(p.X);
Assert.IsNaN(p.Y);
}