// // Math.NET Numerics, part of the Math.NET Project // http://mathnet.opensourcedotnet.info // // Copyright (c) 2009 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.IntegralTransformsTests { using System; using Distributions; using IntegralTransforms; using IntegralTransforms.Algorithms; using MbUnit.Framework; using Sampling; [TestFixture] public class HartleyTest { private IContinuousDistribution _uniform = new ContinuousUniform(-1, 1); private static void VerifyMatchesDFT( double[] samples, double maximumError, bool inverse, Action dft, Func hartley) { var hartleyReal = hartley(samples); var fourierComplex = Array.ConvertAll(samples, s => new Complex(s, inverse ? -s : s)); dft(fourierComplex); var fourierReal = Array.ConvertAll(fourierComplex, s => s.Real); AssertHelpers.AlmostEqualList(fourierReal, hartleyReal, maximumError); } [Test] [Row(HartleyOptions.Default, FourierOptions.Default)] [Row(HartleyOptions.AsymmetricScaling, FourierOptions.AsymmetricScaling)] [Row(HartleyOptions.NoScaling, FourierOptions.NoScaling)] public void NaiveMatchesDFT(HartleyOptions hartleyOptions, FourierOptions fourierOptions) { var dht = new DiscreteHartleyTransform(); var samples = Sample.Random(x => x, _uniform, 0x80); VerifyMatchesDFT( samples, 1e-10, false, s => Transform.FourierForward(s, fourierOptions), s => dht.NaiveForward(s, hartleyOptions)); VerifyMatchesDFT( samples, 1e-10, true, s => Transform.FourierInverse(s, fourierOptions), s => dht.NaiveInverse(s, hartleyOptions)); } } }