public void GetLength()
{
BSplineSegment3F b = new BSplineSegment3F
{
Point1 = new Vector3F(1, 2, 3),
Point2 = new Vector3F(4, 5, 6),
Point3 = new Vector3F(7, 8, 19),
Point4 = new Vector3F(10, 2, 12),
};
float lowerBound = (b.Point2 - b.Point1).Length;
float upperBound = (b.Point2 - b.Point1).Length + (b.Point3 - b.Point2).Length + (b.Point4 - b.Point3).Length;
Assert.Less(lowerBound, b.GetLength(0, 1, 100, Numeric.EpsilonF));
Assert.Greater(upperBound, b.GetLength(0, 1, 100, Numeric.EpsilonF));
float length1 = b.GetLength(0, 1, 20, Numeric.EpsilonF);
float approxLength = 0;
const float step = 0.0001f;
for (float u = 0; u <= 1.0f; u += step)
approxLength += (b.GetPoint(u) - b.GetPoint(u + step)).Length;
Assert.IsTrue(Numeric.AreEqual(approxLength, length1, 0.01f));
Assert.IsTrue(Numeric.AreEqual(b.GetLength(0, 1, 100, Numeric.EpsilonF), b.GetLength(0, 0.5f, 100, Numeric.EpsilonF) + b.GetLength(0.5f, 1, 100, Numeric.EpsilonF)));
Assert.IsTrue(Numeric.AreEqual(b.GetLength(0, 1, 100, Numeric.EpsilonF), b.GetLength(1, 0, 100, Numeric.EpsilonF)));
}
public void GetLength()
{
BSplineSegment3F b = new BSplineSegment3F
{
Point1 = new Vector3F(1, 2, 3),
Point2 = new Vector3F(4, 5, 6),
Point3 = new Vector3F(7, 8, 19),
Point4 = new Vector3F(10, 2, 12),
};
float lowerBound = (b.Point2 - b.Point1).Length;
float upperBound = (b.Point2 - b.Point1).Length + (b.Point3 - b.Point2).Length + (b.Point4 - b.Point3).Length;
Assert.Less(lowerBound, b.GetLength(0, 1, 100, Numeric.EpsilonF));
Assert.Greater(upperBound, b.GetLength(0, 1, 100, Numeric.EpsilonF));
float length1 = b.GetLength(0, 1, 20, Numeric.EpsilonF);
float approxLength = 0;
const float step = 0.0001f;
for (float u = 0; u <= 1.0f; u += step)
{
approxLength += (b.GetPoint(u) - b.GetPoint(u + step)).Length;
}
Assert.IsTrue(Numeric.AreEqual(approxLength, length1, 0.01f));
Assert.IsTrue(Numeric.AreEqual(b.GetLength(0, 1, 100, Numeric.EpsilonF), b.GetLength(0, 0.5f, 100, Numeric.EpsilonF) + b.GetLength(0.5f, 1, 100, Numeric.EpsilonF)));
Assert.IsTrue(Numeric.AreEqual(b.GetLength(0, 1, 100, Numeric.EpsilonF), b.GetLength(1, 0, 100, Numeric.EpsilonF)));
}
public void Flatten()
{
var s = new BSplineSegment3F
{
Point1 = new Vector3F(1, 2, 3),
Point2 = new Vector3F(4, 5, 6),
Point3 = new Vector3F(7, 8, 19),
Point4 = new Vector3F(10, 2, 12),
};
var points = new List<Vector3F>();
var tolerance = 0.01f;
s.Flatten(points, 10, tolerance);
Assert.IsTrue(points.Contains(s.GetPoint(0)));
Assert.IsTrue(points.Contains(s.GetPoint(1)));
var curveLength = s.GetLength(0, 1, 10, tolerance);
Assert.IsTrue(CurveHelper.GetLength(points) >= curveLength - tolerance * points.Count / 2);
Assert.IsTrue(CurveHelper.GetLength(points) <= curveLength);
}
public void Flatten()
{
var s = new BSplineSegment3F
{
Point1 = new Vector3F(1, 2, 3),
Point2 = new Vector3F(4, 5, 6),
Point3 = new Vector3F(7, 8, 19),
Point4 = new Vector3F(10, 2, 12),
};
var points = new List <Vector3F>();
var tolerance = 0.01f;
s.Flatten(points, 10, tolerance);
Assert.IsTrue(points.Contains(s.GetPoint(0)));
Assert.IsTrue(points.Contains(s.GetPoint(1)));
var curveLength = s.GetLength(0, 1, 10, tolerance);
Assert.IsTrue(CurveHelper.GetLength(points) >= curveLength - tolerance * points.Count / 2);
Assert.IsTrue(CurveHelper.GetLength(points) <= curveLength);
}