mathnet-numerics/src/UnitTests/LinearAlgebraTests/Complex32/VectorTests.Norm.cs

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namespace MathNet.Numerics.UnitTests.LinearAlgebraTests.Complex32
{
    using System;
    using Numerics;
    using MbUnit.Framework;

    public abstract partial class VectorTests
    {
        [Test]
        public void CanComputeNorm()
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(7.7459666f, (float)vector.Norm(2), 7);
        }

        [Test]
        public void CanComputeNorm1()
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(16.0346843f, (float)vector.Norm(1), 7);
        }

        [Test]
        public void CanComputeSquareNorm()
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(60f, (float)vector.Norm(2) * (float)vector.Norm(2), 6);
        }

        [Test]
        [Row(1, 16.0346843)]
        [Row(2, 7.7459666)]
        [Row(3, 6.2852839)]
        [Row(10, 5.1608912)]
        public void CanComputeNormP(int p, float expected)
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(expected, (float)vector.Norm(p), 7);
        }
        
        [Test]
        public void CanComputeNormInfinity()
        {
            var vector = CreateVector(Data);
            AssertHelpers.AlmostEqual(5.0990195, (float)vector.Norm(Double.PositiveInfinity), 7);
        }

        [Test]
        [MultipleAsserts]
        public void CanNormalizeVector()
        {
            var vector = CreateVector(Data);
            var result = vector.Normalize(2);
            AssertHelpers.AlmostEqual(new Complex32(0.12909944f, 0.12909944f), result[0], 7);
            AssertHelpers.AlmostEqual(new Complex32(0.25819888f, 0.12909944f), result[1], 7);
            AssertHelpers.AlmostEqual(new Complex32(0.38729833f, 0.12909944f), result[2], 7);
            AssertHelpers.AlmostEqual(new Complex32(0.51639777f, 0.12909944f), result[3], 7);
            AssertHelpers.AlmostEqual(new Complex32(0.64549722f, 0.12909944f), result[4], 7);
        }
    }
}