diff --git a/src/UnitTests/InterpolationTests/EquidistantPolynomialTest.cs b/src/UnitTests/InterpolationTests/EquidistantPolynomialTest.cs new file mode 100644 index 00000000..226c1874 --- /dev/null +++ b/src/UnitTests/InterpolationTests/EquidistantPolynomialTest.cs @@ -0,0 +1,91 @@ +// +// Math.NET Numerics, part of the Math.NET Project +// http://numerics.mathdotnet.com +// http://github.com/mathnet/mathnet-numerics +// http://mathnetnumerics.codeplex.com +// +// Copyright (c) 2002-2011 Math.NET +// +// Permission is hereby granted, free of charge, to any person +// obtaining a copy of this software and associated documentation +// files (the "Software"), to deal in the Software without +// restriction, including without limitation the rights to use, +// copy, modify, merge, publish, distribute, sublicense, and/or sell +// copies of the Software, and to permit persons to whom the +// Software is furnished to do so, subject to the following +// conditions: +// +// The above copyright notice and this permission notice shall be +// included in all copies or substantial portions of the Software. +// +// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES +// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT +// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, +// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING +// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR +// OTHER DEALINGS IN THE SOFTWARE. +// + +namespace MathNet.Numerics.UnitTests.InterpolationTests +{ + using Interpolation; + using Interpolation.Algorithms; + using NUnit.Framework; + + [TestFixture] + public class EquidistantPolynomialTest + { + const double _tmin = 0.0, _tmax = 4.0; + readonly double[] _x = new[] { 0.0, 3.0, 2.5, 1.0, 3.0 }; + + /// + /// Verifies that the interpolation matches the given value at all the provided sample points. + /// + [Test] + public void FitsAtSamplePoints() + { + IInterpolation interpolation = new EquidistantPolynomialInterpolation(_tmin, _tmax, _x); + + for (int i = 0; i < _x.Length; i++) + { + Assert.AreEqual(_x[i], interpolation.Interpolate(i), "A Exact Point " + i); + } + } + + /// + /// Verifies that at points other than the provided sample points, the interpolation matches the one computed by Maple as a reference. + /// + /// + /// Maple: + /// with(CurveFitting); + /// evalf(subs({x=0.1},PolynomialInterpolation([[0,0],[1,3],[2,2.5],[3,1],[4,3]], x)),20); + /// + [Test, Sequential] + public void FitsAtArbitraryPointsWithMaple( + [Values(0.1, 0.4, 1.1, 3.2, 4.5, 10.0, -10.0)] double t, + [Values(.487425, 1.6968, 3.081925, .9408, 7.265625, 592.5, 657.5)] double x, + [Values(1e-15, 1e-15, 1e-15, 1e-15, 1e-14, 1e-10, 1e-9)] double maxAbsoluteError) + { + IInterpolation interpolation = new EquidistantPolynomialInterpolation(_tmin, _tmax, _x); + + Assert.AreEqual(x, interpolation.Interpolate(t), maxAbsoluteError, "Interpolation at {0}", t); + } + + /// + /// Verifies that the interpolation supports the linear case appropriately + /// + [Test] + public void SupportsLinearCase([Values(2, 4, 12)] int samples) + { + double[] x, y, xtest, ytest; + LinearInterpolationCase.Build(out x, out y, out xtest, out ytest, samples); + IInterpolation interpolation = new EquidistantPolynomialInterpolation(x, y); + for (int i = 0; i < xtest.Length; i++) + { + Assert.AreEqual(ytest[i], interpolation.Interpolate(xtest[i]), 1e-12, "Linear with {0} samples, sample {1}", samples, i); + } + } + } +} diff --git a/src/UnitTests/InterpolationTests/NevillePolynomialTest.cs b/src/UnitTests/InterpolationTests/NevillePolynomialTest.cs index bb8ce994..1fa95190 100644 --- a/src/UnitTests/InterpolationTests/NevillePolynomialTest.cs +++ b/src/UnitTests/InterpolationTests/NevillePolynomialTest.cs @@ -1,4 +1,4 @@ -// +// // Math.NET Numerics, part of the Math.NET Project // http://numerics.mathdotnet.com // http://github.com/mathnet/mathnet-numerics @@ -48,9 +48,8 @@ namespace MathNet.Numerics.UnitTests.InterpolationTests { IInterpolation interpolation = new NevillePolynomialInterpolation(_t, _x); - for (int i = 0; i < _t.Length; i++) + for (int i = 0; i < _x.Length; i++) { - // verify the interpolated values exactly at the sample points. Assert.AreEqual(_x[i], interpolation.Interpolate(_t[i]), "A Exact Point " + i); double interpolatedValue; diff --git a/src/UnitTests/UnitTests.csproj b/src/UnitTests/UnitTests.csproj index 7ca5578b..33698d77 100644 --- a/src/UnitTests/UnitTests.csproj +++ b/src/UnitTests/UnitTests.csproj @@ -113,7 +113,8 @@ - + + Code