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 GetLength()
{
HermiteSegment2F s = new HermiteSegment2F
{
Point1 = new Vector2F(1, 2),
Tangent1 = (new Vector2F(10, 3) - new Vector2F(1, 2)) * 3,
Tangent2 = (new Vector2F(10, 2) - new Vector2F(7, 8)) * 3,
Point2 = new Vector2F(10, 2),
};
BezierSegment2F b = new BezierSegment2F
{
Point1 = new Vector2F(1, 2),
ControlPoint1 = new Vector2F(10, 3),
ControlPoint2 = new Vector2F(7, 8),
Point2 = new Vector2F(10, 2),
};
float length1 = s.GetLength(0, 1, 20, Numeric.EpsilonF);
float length2 = b.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 += (s.GetPoint(u) - s.GetPoint(u + step)).Length;
}
Assert.IsTrue(Numeric.AreEqual(approxLength, length1, 0.01f));
Assert.IsTrue(Numeric.AreEqual(s.GetLength(0, 1, 100, Numeric.EpsilonF), s.GetLength(0, 0.5f, 100, Numeric.EpsilonF) + s.GetLength(0.5f, 1, 100, Numeric.EpsilonF)));
Assert.IsTrue(Numeric.AreEqual(s.GetLength(0, 1, 100, Numeric.EpsilonF), s.GetLength(1, 0, 100, Numeric.EpsilonF)));
}
public void GetLength()
{
CatmullRomSegment2F c = new CatmullRomSegment2F
{
Point1 = new Vector2F(1, 2),
Point2 = new Vector2F(10, 3),
Point3 = new Vector2F(7, 8),
Point4 = new Vector2F(10, 2),
};
HermiteSegment2F h = new HermiteSegment2F
{
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()
{
HermiteSegment2F s = new HermiteSegment2F
{
Point1 = new Vector2F(1, 2),
Tangent1 = (new Vector2F(10, 3) - new Vector2F(1, 2)) * 3,
Tangent2 = (new Vector2F(10, 2) - new Vector2F(7, 8)) * 3,
Point2 = new Vector2F(10, 2),
};
BezierSegment2F b = new BezierSegment2F
{
Point1 = new Vector2F(1, 2),
ControlPoint1 = new Vector2F(10, 3),
ControlPoint2 = new Vector2F(7, 8),
Point2 = new Vector2F(10, 2),
};
float length1 = s.GetLength(0, 1, 20, Numeric.EpsilonF);
float length2 = b.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 += (s.GetPoint(u) - s.GetPoint(u + step)).Length;
Assert.IsTrue(Numeric.AreEqual(approxLength, length1, 0.01f));
Assert.IsTrue(Numeric.AreEqual(s.GetLength(0, 1, 100, Numeric.EpsilonF), s.GetLength(0, 0.5f, 100, Numeric.EpsilonF) + s.GetLength(0.5f, 1, 100, Numeric.EpsilonF)));
Assert.IsTrue(Numeric.AreEqual(s.GetLength(0, 1, 100, Numeric.EpsilonF), s.GetLength(1, 0, 100, Numeric.EpsilonF)));
}
public void GetTangent()
{
HermiteSegment2F s = new HermiteSegment2F
{
Point1 = new Vector2F(1, 2),
Tangent1 = (new Vector2F(10, 3) - new Vector2F(1, 2)) * 3,
Tangent2 = (new Vector2F(10, 2) - new Vector2F(7, 8)) * 3,
Point2 = new Vector2F(10, 2),
};
BezierSegment2F b = new BezierSegment2F
{
Point1 = new Vector2F(1, 2),
ControlPoint1 = new Vector2F(10, 3),
ControlPoint2 = new Vector2F(7, 8),
Point2 = new Vector2F(10, 2),
};
Assert.IsTrue(Vector2F.AreNumericallyEqual(s.Tangent1, s.GetTangent(0)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(s.Tangent2, s.GetTangent(1)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(b.GetTangent(0.7f), s.GetTangent(0.7f)));
}
public void GetTangent()
{
CatmullRomSegment2F c = new CatmullRomSegment2F
{
Point1 = new Vector2F(1, 2),
Point2 = new Vector2F(10, 3),
Point3 = new Vector2F(7, 8),
Point4 = new Vector2F(10, 2),
};
HermiteSegment2F h = new HermiteSegment2F
{
Point1 = c.Point2,
Tangent1 = (c.Point3 - c.Point1) * 0.5f,
Tangent2 = (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()
{
CatmullRomSegment2F c = new CatmullRomSegment2F
{
Point1 = new Vector2F(1, 2),
Point2 = new Vector2F(10, 3),
Point3 = new Vector2F(7, 8),
Point4 = new Vector2F(10, 2),
};
HermiteSegment2F h = new HermiteSegment2F
{
Point1 = c.Point2,
Tangent1 = (c.Point3 - c.Point1) * 0.5f,
Tangent2 = (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 GetPoint()
{
HermiteSegment2F s = new HermiteSegment2F
{
Point1 = new Vector2F(1, 2),
Tangent1 = (new Vector2F(10, 3) - new Vector2F(1, 2)) * 3,
Tangent2 = (new Vector2F(10, 2) - new Vector2F(7, 8)) * 3,
Point2 = new Vector2F(10, 2),
};
BezierSegment2F b = new BezierSegment2F
{
Point1 = new Vector2F(1, 2),
ControlPoint1 = new Vector2F(10, 3),
ControlPoint2 = new Vector2F(7, 8),
Point2 = new Vector2F(10, 2),
};
Assert.IsTrue(Vector2F.AreNumericallyEqual(s.Point1, s.GetPoint(0)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(s.Point2, s.GetPoint(1)));
Assert.IsTrue(Vector2F.AreNumericallyEqual(b.GetPoint(0.33f), s.GetPoint(0.33f)));
}
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 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)));
}