mathnet-numerics/src/UnitTests/LinearAlgebraTests/VectorStorageCombinatorsTests.cs

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using System.Threading;
using MathNet.Numerics.LinearAlgebra;
using MathNet.Numerics.LinearAlgebra.Storage;
using NUnit.Framework;

namespace MathNet.Numerics.UnitTests.LinearAlgebraTests
{
    [TestFixture, Category("LA")]
    public class VectorStorageCombinatorsTests
    {
        [Theory]
        public void MapToSkipZeros(TestVectorStorage aType, TestVectorStorage resultType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0 });
            var result = TestData.VectorStorage<double>(resultType, 4);
            var expected = new DenseVectorStorage<double>(4, new[] { -1.0, -2.0, 0.0, -4.0 });
            a.MapTo(result, u => -u, Zeros.AllowSkip);
            Assert.That(result.Equals(expected));
        }

        [Theory]
        public void MapToForceIncludeZeros(TestVectorStorage aType, TestVectorStorage resultType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0 });
            var result = TestData.VectorStorage<double>(resultType, 4);
            var expected = new DenseVectorStorage<double>(4, new[] { 0.0, -1.0, 1.0, -3.0 });
            a.MapTo(result, u => -u + 1.0, Zeros.Include);
            Assert.That(result.Equals(expected));
        }

        [Theory]
        public void MapToAutoIncludeZeros(TestVectorStorage aType, TestVectorStorage resultType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0 });
            var result = TestData.VectorStorage<double>(resultType, 4);
            var expected = new DenseVectorStorage<double>(4, new[] { 0.0, -1.0, 1.0, -3.0 });
            a.MapTo(result, u => -u + 1.0, Zeros.AllowSkip);
            Assert.That(result.Equals(expected));
        }

        [Theory]
        public void MapIndexedToSkipZeros(TestVectorStorage aType, TestVectorStorage resultType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0 });
            var result = TestData.VectorStorage<double>(resultType, 4);
            var expected = new DenseVectorStorage<double>(4, new[] { -1.0, -2.0, 0.0, -4.0 });
            int badValueCount = 0; // one time is OK for zero-check
            a.MapIndexedTo(result, (i, u) => { if (a.At(i) != u) Interlocked.Increment(ref badValueCount); return -u; }, Zeros.AllowSkip);
            Assert.That(badValueCount, Is.LessThanOrEqualTo(1));
            Assert.That(result.Equals(expected));
        }

        [Theory]
        public void MapIndexedToForceIncludeZeros(TestVectorStorage aType, TestVectorStorage resultType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0 });
            var result = TestData.VectorStorage<double>(resultType, 4);
            var expected = new DenseVectorStorage<double>(4, new[] { 0.0, -1.0, 1.0, -3.0 });
            int badValueCount = 0; // one time is OK for zero-check
            a.MapIndexedTo(result, (i, u) => { if (a.At(i) != u) Interlocked.Increment(ref badValueCount); return -u + 1.0; }, Zeros.Include);
            Assert.That(badValueCount, Is.LessThanOrEqualTo(1));
            Assert.That(result.Equals(expected));
        }

        [Theory]
        public void MapIndexedToAutoIncludeZeros(TestVectorStorage aType, TestVectorStorage resultType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0 });
            var result = TestData.VectorStorage<double>(resultType, 4);
            var expected = new DenseVectorStorage<double>(4, new[] { 0.0, -1.0, 1.0, -3.0 });
            int badValueCount = 0; // one time is OK for zero-check
            a.MapIndexedTo(result, (i, u) => { if (a.At(i) != u) Interlocked.Increment(ref badValueCount); return -u + 1.0; }, Zeros.AllowSkip);
            Assert.That(badValueCount, Is.LessThanOrEqualTo(1));
            Assert.That(result.Equals(expected));
        }

        [Theory]
        public void Map2ToSkipZeros(TestVectorStorage aType, TestVectorStorage bType, TestVectorStorage resultType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0, 0.0, 6.0 });
            var b = TestData.VectorStorage(bType, new[] { 11.0, 12.0, 13.0, 0.0, 0.0, 16.0 });
            var result = TestData.VectorStorage<double>(resultType, 6);
            var expected = new DenseVectorStorage<double>(6, new[] { 12.0, 14.0, 13.0, 4.0, 0.0, 22.0 });
            a.Map2To(result, b, (u, v) => u + v, Zeros.AllowSkip);
            Assert.That(result.Equals(expected));
        }

        [Theory]
        public void Map2ToForceIncludeZeros(TestVectorStorage aType, TestVectorStorage bType, TestVectorStorage resultType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0, 0.0, 6.0 });
            var b = TestData.VectorStorage(bType, new[] { 11.0, 12.0, 13.0, 0.0, 0.0, 16.0 });
            var result = TestData.VectorStorage<double>(resultType, 6);
            var expected = new DenseVectorStorage<double>(6, new[] { 13.0, 15.0, 14.0, 5.0, 1.0, 23.0 });
            a.Map2To(result, b, (u, v) => u + v + 1.0, Zeros.Include);
            Assert.That(result.Equals(expected));
        }

        [Theory]
        public void Map2ToAutoIncludeZeros(TestVectorStorage aType, TestVectorStorage bType, TestVectorStorage resultType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0, 0.0, 6.0 });
            var b = TestData.VectorStorage(bType, new[] { 11.0, 12.0, 13.0, 0.0, 0.0, 16.0 });
            var result = TestData.VectorStorage<double>(resultType, 6);
            var expected = new DenseVectorStorage<double>(6, new[] { 13.0, 15.0, 14.0, 5.0, 1.0, 23.0 });
            a.Map2To(result, b, (u, v) => u + v + 1.0, Zeros.AllowSkip);
            Assert.That(result.Equals(expected));
        }

        [Theory]
        public void Fold2SkipZeros(TestVectorStorage aType, TestVectorStorage bType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0, 0.0, 6.0 });
            var b = TestData.VectorStorage(bType, new[] { 11.0, 12.0, 13.0, 0.0, 0.0, 16.0 });
            var result = a.Fold2(b, (acc, u, v) => acc + u + v, 0.0, Zeros.AllowSkip);
            Assert.That(result, Is.EqualTo(65));
        }

        [Theory]
        public void Fold2ForceIncludeZeros(TestVectorStorage aType, TestVectorStorage bType)
        {
            var a = TestData.VectorStorage(aType, new[] { 1.0, 2.0, 0.0, 4.0, 0.0, 6.0 });
            var b = TestData.VectorStorage(bType, new[] { 11.0, 12.0, 13.0, 0.0, 0.0, 16.0 });
            var result = a.Fold2(b, (acc, u, v) => acc + u + v + 1.0, 0.0, Zeros.Include);
            Assert.That(result, Is.EqualTo(71));
        }
    }
}