public void GetLength() { CardinalSegment2F c = new CardinalSegment2F { Point1 = new Vector2F(1, 2), Point2 = new Vector2F(10, 3), Point3 = new Vector2F(7, 8), Point4 = new Vector2F(10, 2), Tension = 0.3f }; HermiteSegment2F h = new HermiteSegment2F { Point1 = c.Point2, Tangent1 = (1 - c.Tension) * (c.Point3 - c.Point1) * 0.5f, Tangent2 = (1 - c.Tension) * (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 Flatten() { var s = new CardinalSegment2F { Point1 = new Vector2F(1, 2), Point2 = new Vector2F(10, 3), Point3 = new Vector2F(7, 8), Point4 = new Vector2F(10, 2), Tension = 0.3f }; var points = new List<Vector2F>(); var tolerance = 0.01f; s.Flatten(points, 10, tolerance); Assert.IsTrue(points.Contains(s.Point2)); Assert.IsTrue(points.Contains(s.Point3)); 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 CardinalSegment2F { Point1 = new Vector2F(1, 2), Point2 = new Vector2F(10, 3), Point3 = new Vector2F(7, 8), Point4 = new Vector2F(10, 2), Tension = 0.3f }; var points = new List <Vector2F>(); var tolerance = 0.01f; s.Flatten(points, 10, tolerance); Assert.IsTrue(points.Contains(s.Point2)); Assert.IsTrue(points.Contains(s.Point3)); 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 GetTangent() { CardinalSegment2F c = new CardinalSegment2F { Point1 = new Vector2F(1, 2), Point2 = new Vector2F(10, 3), Point3 = new Vector2F(7, 8), Point4 = new Vector2F(10, 2), Tension = 0.3f }; HermiteSegment2F h = new HermiteSegment2F { Point1 = c.Point2, Tangent1 = (1 - c.Tension) * (c.Point3 - c.Point1) * 0.5f, Tangent2 = (1 - c.Tension) * (c.Point4 - c.Point2) * 0.5f, Point2 = c.Point3, }; Assert.IsTrue(Vector2F.AreNumericallyEqual(h.Tangent1, c.GetTangent(0))); Assert.IsTrue(Vector2F.AreNumericallyEqual(h.Tangent2, c.GetTangent(1))); Assert.IsTrue(Vector2F.AreNumericallyEqual(h.GetTangent(0.7f), c.GetTangent(0.7f))); }
public void GetPoint() { CardinalSegment2F c = new CardinalSegment2F { Point1 = new Vector2F(1, 2), Point2 = new Vector2F(10, 3), Point3 = new Vector2F(7, 8), Point4 = new Vector2F(10, 2), Tension = 0.3f }; HermiteSegment2F h = new HermiteSegment2F { Point1 = c.Point2, Tangent1 = (1 - c.Tension) * (c.Point3 - c.Point1) * 0.5f, Tangent2 = (1 - c.Tension) * (c.Point4 - c.Point2) * 0.5f, Point2 = c.Point3, }; Assert.IsTrue(Vector2F.AreNumericallyEqual(c.Point2, c.GetPoint(0))); Assert.IsTrue(Vector2F.AreNumericallyEqual(c.Point3, c.GetPoint(1))); Assert.IsTrue(Vector2F.AreNumericallyEqual(h.GetPoint(0.33f), c.GetPoint(0.33f))); }
public void GetLength() { CardinalSegment2F c = new CardinalSegment2F { Point1 = new Vector2F(1, 2), Point2 = new Vector2F(10, 3), Point3 = new Vector2F(7, 8), Point4 = new Vector2F(10, 2), Tension = 0.3f }; HermiteSegment2F h = new HermiteSegment2F { Point1 = c.Point2, Tangent1 = (1 - c.Tension) * (c.Point3 - c.Point1) * 0.5f, Tangent2 = (1 - c.Tension) * (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))); }