mathnet-numerics/src/UnitTests/LinearAlgebraTests/Complex/VectorTests.Norm.cs

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namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Complex
{
    using System;
    using System.Numerics;
    using NUnit.Framework;

    /// <summary>
    /// Abstract class with the norms set of vector tests.
    /// </summary>
    public abstract partial class VectorTests
    {
        /// <summary>
        /// Can compute 2nd norm.
        /// </summary>
        [Test]
        public void CanComputeNorm()
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(7.74596669241483, vector.Norm(2), 15);
        }

        /// <summary>
        /// Can compute 1st norm.
        /// </summary>
        [Test]
        public void CanComputeNorm1()
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(16.0346843392517, vector.Norm(1), 15);
        }

        /// <summary>
        /// Can compute square norm.
        /// </summary>
        [Test]
        public void CanComputeSquareNorm()
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(60.0, vector.Norm(2) * vector.Norm(2), 15);
        }

        /// <summary>
        /// Can compute a norm.
        /// </summary>
        /// <param name="p">The norm index.</param>
        /// <param name="expected">The expected <c>P</c>-norm value.</param>
        [TestCase(1, 16.0346843392517)]
        [TestCase(2, 7.74596669241483)]
        [TestCase(3, 6.28528392332871)]
        [TestCase(10, 5.1608912235454)]
        public void CanComputeNormP(int p, double expected)
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(expected, vector.Norm(p), 15);
        }

        /// <summary>
        /// Can compute infinity norm.
        /// </summary>
        [Test]
        public void CanComputeNormInfinity()
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(5.09901951359279, vector.Norm(Double.PositiveInfinity), 14);
        }

        /// <summary>
        /// Can normalize a vector.
        /// </summary>
        [Test]
        public void CanNormalizeVector()
        {
            var vector = CreateVector(Data);
            var result = vector.Normalize(2);
            AssertHelpers.AlmostEqual(new Complex(0.129099444873581, 0.129099444873581), result[0], 14);
            AssertHelpers.AlmostEqual(new Complex(0.258198889747161, 0.129099444873581), result[1], 14);
            AssertHelpers.AlmostEqual(new Complex(0.387298334620742, 0.129099444873581), result[2], 14);
            AssertHelpers.AlmostEqual(new Complex(0.516397779494322, 0.129099444873581), result[3], 14);
            AssertHelpers.AlmostEqual(new Complex(0.645497224367903, 0.129099444873581), result[4], 14);
        }
    }
}