public void GetLength()
{
CatmullRomSegment3F c = new CatmullRomSegment3F
{
Point1 = new Vector3(1, 2, 3),
Point2 = new Vector3(10, 3, 6),
Point3 = new Vector3(7, 8, 19),
Point4 = new Vector3(10, 2, 12),
};
HermiteSegment3F h = new HermiteSegment3F
{
Point1 = c.Point2,
Tangent1 = (c.Point3 - c.Point1) * 0.5f,
Tangent2 = (c.Point4 - c.Point2) * 0.5f,
Point2 = c.Point3,
};
float length1 = c.GetLength(0, 1, 20, Numeric.EpsilonF);
float length2 = h.GetLength(0, 1, 20, Numeric.EpsilonF);
Assert.IsTrue(Numeric.AreEqual(length1, length2));
float approxLength = 0;
const float step = 0.0001f;
for (float u = 0; u <= 1.0f; u += step)
{
approxLength += (c.GetPoint(u) - c.GetPoint(u + step)).Length;
}
Assert.IsTrue(Numeric.AreEqual(approxLength, length1, 0.01f));
Assert.IsTrue(Numeric.AreEqual(c.GetLength(0, 1, 100, Numeric.EpsilonF), c.GetLength(0, 0.5f, 100, Numeric.EpsilonF) + c.GetLength(0.5f, 1, 100, Numeric.EpsilonF)));
Assert.IsTrue(Numeric.AreEqual(c.GetLength(0, 1, 100, Numeric.EpsilonF), c.GetLength(1, 0, 100, Numeric.EpsilonF)));
}
public void GetLength()
{
CatmullRomSegment3F c = new CatmullRomSegment3F
{
Point1 = new Vector3F(1, 2, 3),
Point2 = new Vector3F(10, 3, 6),
Point3 = new Vector3F(7, 8, 19),
Point4 = new Vector3F(10, 2, 12),
};
HermiteSegment3F h = new HermiteSegment3F
{
Point1 = c.Point2,
Tangent1 = (c.Point3 - c.Point1) * 0.5f,
Tangent2 = (c.Point4 - c.Point2) * 0.5f,
Point2 = c.Point3,
};
float length1 = c.GetLength(0, 1, 20, Numeric.EpsilonF);
float length2 = h.GetLength(0, 1, 20, Numeric.EpsilonF);
Assert.IsTrue(Numeric.AreEqual(length1, length2));
float approxLength = 0;
const float step = 0.0001f;
for (float u = 0; u <= 1.0f; u += step)
approxLength += (c.GetPoint(u) - c.GetPoint(u + step)).Length;
Assert.IsTrue(Numeric.AreEqual(approxLength, length1, 0.01f));
Assert.IsTrue(Numeric.AreEqual(c.GetLength(0, 1, 100, Numeric.EpsilonF), c.GetLength(0, 0.5f, 100, Numeric.EpsilonF) + c.GetLength(0.5f, 1, 100, Numeric.EpsilonF)));
Assert.IsTrue(Numeric.AreEqual(c.GetLength(0, 1, 100, Numeric.EpsilonF), c.GetLength(1, 0, 100, Numeric.EpsilonF)));
}
public void GetPoint()
{
CatmullRomSegment3F c = new CatmullRomSegment3F
{
Point1 = new Vector3(1, 2, 3),
Point2 = new Vector3(10, 3, 6),
Point3 = new Vector3(7, 8, 19),
Point4 = new Vector3(10, 2, 12),
};
HermiteSegment3F h = new HermiteSegment3F
{
Point1 = c.Point2,
Tangent1 = (c.Point3 - c.Point1) * 0.5f,
Tangent2 = (c.Point4 - c.Point2) * 0.5f,
Point2 = c.Point3,
};
Assert.IsTrue(Vector3.AreNumericallyEqual(c.Point2, c.GetPoint(0)));
Assert.IsTrue(Vector3.AreNumericallyEqual(c.Point3, c.GetPoint(1)));
Assert.IsTrue(Vector3.AreNumericallyEqual(h.GetPoint(0.33f), c.GetPoint(0.33f)));
}
public void GetPoint()
{
CatmullRomSegment3F c = new CatmullRomSegment3F
{
Point1 = new Vector3F(1, 2, 3),
Point2 = new Vector3F(10, 3, 6),
Point3 = new Vector3F(7, 8, 19),
Point4 = new Vector3F(10, 2, 12),
};
HermiteSegment3F h = new HermiteSegment3F
{
Point1 = c.Point2,
Tangent1 = (c.Point3 - c.Point1) * 0.5f,
Tangent2 = (c.Point4 - c.Point2) * 0.5f,
Point2 = c.Point3,
};
Assert.IsTrue(Vector3F.AreNumericallyEqual(c.Point2, c.GetPoint(0)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(c.Point3, c.GetPoint(1)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(h.GetPoint(0.33f), c.GetPoint(0.33f)));
}
public void GetPoint()
{
Path3F path = CreatePath();
path.PreLoop = CurveLoopType.Constant;
path.PostLoop = CurveLoopType.Oscillate;
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(0, 0, 1), path.GetPoint(-10)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(4, 5, 7), path.GetPoint(13)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(4, 5, 7), path.GetPoint(16)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(5, 7, 10), path.GetPoint(17)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(5, 7, 10), path.GetPoint(19)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(5, 7, 13)*0.5f + new Vector3F(6, 7, 14)*0.5f, path.GetPoint(22.5f)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(5, 7, 13) * 0.5f + new Vector3F(6, 7, 14) * 0.5f, path.GetPoint(22.5f)));
CatmullRomSegment3F catmullOscillate = new CatmullRomSegment3F()
{
Point1 = new Vector3F(10, 12, 14),
Point2 = new Vector3F(10, 14, 8),
Point3 = new Vector3F(20, 14, 8),
Point4 = new Vector3F(30, 14, 8),
};
Assert.IsTrue(Vector3F.AreNumericallyEqual(catmullOscillate.GetPoint(0.3f), path.GetPoint(43)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(catmullOscillate.GetPoint(0.9f), path.GetPoint(51)));
CatmullRomSegment3F catmullCircle = new CatmullRomSegment3F()
{
Point1 = new Vector3F(10, 12, 14),
Point2 = new Vector3F(10, 14, 8),
Point3 = new Vector3F(20, 14, 8),
Point4 = new Vector3F(30, 14, 8),
};
path.PreLoop = CurveLoopType.Linear;
path.PostLoop = CurveLoopType.Cycle;
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(0, 0, 1) - (new Vector3F(1, 2, 3) - new Vector3F(0, 0, 1)) / 2 * 9, path.GetPoint(1)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(catmullCircle.GetPoint(0.3f), path.GetPoint(43)));
path.PreLoop = CurveLoopType.Cycle;
path.PostLoop = CurveLoopType.CycleOffset;
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(10, 14, 8) + new Vector3F(20, 14, 7), path.GetPoint(80f)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(10, 14, 8) + new Vector3F(20, 14, 7) * 2, path.GetPoint(120f)));
path.PreLoop = CurveLoopType.CycleOffset;
path.PostLoop = CurveLoopType.Linear;
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(10, 14, 8) - new Vector3F(20, 14, 7), path.GetPoint(0f)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(10, 14, 8) - new Vector3F(20, 14, 7) * 2, path.GetPoint(-40f)));
Assert.IsTrue(Vector3F.AreNumericallyEqual(new Vector3F(20, 14, 8) + catmullOscillate.GetTangent(1) / 10 * 50, path.GetPoint(100f)));
path.PreLoop = CurveLoopType.Oscillate;
path.PostLoop = CurveLoopType.Constant;
}