public void FitsAtArbitraryPointsWithMaple(double t, double x, double maxAbsoluteError)
{
IInterpolation interpolation = new LinearSplineInterpolation(_t, _x);
Assert.AreEqual(x, interpolation.Interpolate(t), maxAbsoluteError, "Interpolation at {0}", t);
double interpolatedValue;
double secondDerivative;
interpolation.Differentiate(t, out interpolatedValue, out secondDerivative);
Assert.AreEqual(x, interpolatedValue, maxAbsoluteError, "Interpolation as by-product of differentiation at {0}", t);
}
public void FitsAtArbitraryPointsWithMaple(
[Values(-2.4, -0.9, -0.5, -0.1, 0.1, 0.4, 1.2, 10.0, -10.0)] double t,
[Values(.6, 1.7, .5, -.7, -.9, -.6, .2, 9.0, -7.0)] double x,
[Values(1e-15, 1e-15, 1e-15, 1e-15, 1e-15, 1e-15, 1e-15, 1e-15, 1e-15)] double maxAbsoluteError)
{
IInterpolation interpolation = new LinearSplineInterpolation(_t, _x);
Assert.AreEqual(x, interpolation.Interpolate(t), maxAbsoluteError, "Interpolation at {0}", t);
double interpolatedValue;
double secondDerivative;
interpolation.Differentiate(t, out interpolatedValue, out secondDerivative);
Assert.AreEqual(x, interpolatedValue, maxAbsoluteError, "Interpolation as by-product of differentiation at {0}", t);
}
public void FitsAtSamplePoints()
{
IInterpolation interpolation = new LinearSplineInterpolation(_t, _x);
for (int i = 0; i < _x.Length; i++)
{
Assert.AreEqual(_x[i], interpolation.Interpolate(_t[i]), "A Exact Point " + i);
double interpolatedValue;
double secondDerivative;
interpolation.Differentiate(_t[i], out interpolatedValue, out secondDerivative);
Assert.AreEqual(_x[i], interpolatedValue, "B Exact Point " + i);
}
}
public void FitsAtSamplePoints()
{
IInterpolation interpolation = new LinearSplineInterpolation(_t, _x);
for (int i = 0; i < _x.Length; i++)
{
Assert.AreEqual(_x[i], interpolation.Interpolate(_t[i]), "A Exact Point " + i);
double interpolatedValue;
double secondDerivative;
interpolation.Differentiate(_t[i], out interpolatedValue, out secondDerivative);
Assert.AreEqual(_x[i], interpolatedValue, "B Exact Point " + i);
}
}
public void FitsAtArbitraryPointsWithMaple(
[Values(-2.4, -0.9, -0.5, -0.1, 0.1, 0.4, 1.2, 10.0, -10.0)] double t,
[Values(.6, 1.7, .5, -.7, -.9, -.6, .2, 9.0, -7.0)] double x,
[Values(1e-15, 1e-15, 1e-15, 1e-15, 1e-15, 1e-15, 1e-15, 1e-15, 1e-15)] double maxAbsoluteError)
{
IInterpolation interpolation = new LinearSplineInterpolation(_t, _x);
Assert.AreEqual(x, interpolation.Interpolate(t), maxAbsoluteError, "Interpolation at {0}", t);
double interpolatedValue;
double secondDerivative;
interpolation.Differentiate(t, out interpolatedValue, out secondDerivative);
Assert.AreEqual(x, interpolatedValue, maxAbsoluteError, "Interpolation as by-product of differentiation at {0}", t);
}
public void FitsAtArbitraryPointsWithMaple(double t, double x, double maxAbsoluteError)
{
IInterpolation interpolation = new LinearSplineInterpolation(_t, _x);
Assert.AreEqual(x, interpolation.Interpolate(t), maxAbsoluteError, "Interpolation at {0}", t);
double interpolatedValue;
double secondDerivative;
interpolation.Differentiate(t, out interpolatedValue, out secondDerivative);
Assert.AreEqual(x, interpolatedValue, maxAbsoluteError, "Interpolation as by-product of differentiation at {0}", t);
}
