public void It_Returns_The_Tangent_At_Given_Parameter(double t, double[] tangentData)
{
// Arrange
int degree = 3;
List <Point3> pts = new List <Point3>
{
new (0, 0, 0),
new (1, 0, 0),
new (2, 0, 0),
new (3, 0, 0),
new (4, 0, 0)
};
List <double> weights = new List <double> {
1, 1, 1, 1, 1
};
NurbsCurve curve = new NurbsCurve(pts, weights, degree);
Vector3 tangentExpectedLinearCurve = new Vector3(1, 0, 0);
Vector3 tangentExpectedPlanarCurve = new Vector3(tangentData[0], tangentData[1], tangentData[2]);
// Act
// Act on a linear nurbs curve.
Vector3 tangentLinearCurve = curve.TangentAt(t);
Vector3 tangentPlanarCurve = NurbsCurveCollection.PlanarCurveDegreeThree().TangentAt(t);
// Assert
(tangentLinearCurve == tangentExpectedLinearCurve).Should().BeTrue();
tangentPlanarCurve.EpsilonEquals(tangentExpectedPlanarCurve, GSharkMath.MaxTolerance).Should().BeTrue();
}
public void It_Returns_Parameter_At_The_Given_Length(double segmentLength, double tValueExpected)
{
// Arrange
NurbsBase curve = NurbsCurveCollection.PlanarCurveDegreeThree();
// Act
double parameter = curve.ParameterAtLength(segmentLength);
// Assert
parameter.Should().BeApproximately(tValueExpected, GSharkMath.MinTolerance);
}
public void It_Returns_The_Length_Of_The_Curve()
{
// Arrange
NurbsBase curve = NurbsCurveCollection.PlanarCurveDegreeThree();
double expectedLength = 50.334675;
// Act
double crvLength = curve.Length;
// Assert
crvLength.Should().BeApproximately(expectedLength, GSharkMath.MinTolerance);
}
public void It_Returns_The_Closest_Point_And_Parameter(double[] ptToCheck, double[] ptExpected, double tValExpected)
{
// Arrange
NurbsBase curve = NurbsCurveCollection.PlanarCurveDegreeThree();
Point3 testPt = new Point3(ptToCheck[0], ptToCheck[1], ptToCheck[2]);
Point3 expectedPt = new Point3(ptExpected[0], ptExpected[1], ptExpected[2]);
// Act
Point3 pt = curve.ClosestPoint(testPt);
double parameter = curve.ClosestParameter(testPt);
// Assert
parameter.Should().BeApproximately(tValExpected, GSharkMath.MaxTolerance);
pt.EpsilonEquals(expectedPt, GSharkMath.MaxTolerance).Should().BeTrue();
}
public void It_Returns_Parameter_At_The_Given_Length_Of_A_Bezier()
{
// Arrange
NurbsBase curve = NurbsCurveCollection.PlanarCurveDegreeThree();
double[] tValuesExpected = new[] { 0, 0.122941, 0.265156, 0.420293, 0.579707, 0.734844, 0.877059, 1 };
int steps = 7;
double length = curve.Length / steps;
double sumLengths = 0.0;
for (int i = 0; i < steps + 1; i++)
{
// Act
double t = curve.ParameterAtLength(sumLengths);
double segmentLength = curve.LengthAt(t);
// Assert
t.Should().BeApproximately(tValuesExpected[i], GSharkMath.MaxTolerance);
segmentLength.Should().BeApproximately(sumLengths, GSharkMath.MaxTolerance);
sumLengths += length;
}
}