public void TestSparseWeightsCubicInterpolation()
{
var a = SparseWeight8.Create(0, 0, 0.2f, 0, 0, 0, 1);
var b = SparseWeight8.Create(1, 1, 0.4f, 0, 0, 1, 0);
var t = SparseWeight8.Subtract(b, a);
Assert.AreEqual(1, t[0]);
Assert.AreEqual(1, t[1]);
Assert.AreEqual(0.2f, t[2]);
Assert.AreEqual(0, t[3]);
Assert.AreEqual(0, t[4]);
Assert.AreEqual(1, t[5]);
Assert.AreEqual(-1, t[6]);
var lr = SparseWeight8.InterpolateLinear(a, b, 0.4f);
var cr = SparseWeight8.InterpolateCubic(a, t, b, t, 0.4f);
Assert.AreEqual(lr[0], cr[0], 0.000001f);
Assert.AreEqual(lr[1], cr[1], 0.000001f);
Assert.AreEqual(lr[2], cr[2], 0.000001f);
Assert.AreEqual(lr[3], cr[3], 0.000001f);
Assert.AreEqual(lr[4], cr[4], 0.000001f);
Assert.AreEqual(lr[5], cr[5], 0.000001f);
Assert.AreEqual(lr[6], cr[6], 0.000001f);
Assert.AreEqual(lr[7], cr[7], 0.000001f);
}
public void TestCreateSparseFromVectors()
{
CollectionAssert.AreEqual
(
SparseWeight8.Create(new System.Numerics.Vector4(0, 1, 2, 3), new System.Numerics.Vector4(1, 1, 1, 1)).Expand(4),
SparseWeight8.Create(1, 1, 1, 1).Expand(4)
);
CollectionAssert.AreEqual
(
SparseWeight8.Create(new System.Numerics.Vector4(0, 1, 2, 3), new System.Numerics.Vector4(1, 2, 3, 4)).Expand(4),
SparseWeight8.Create(1, 2, 3, 4).Expand(4)
);
CollectionAssert.AreEqual
(
SparseWeight8.Create(new System.Numerics.Vector4(0, 1, 2, 3), new System.Numerics.Vector4(4, 3, 2, 1)).Expand(4),
SparseWeight8.Create(4, 3, 2, 1).Expand(4)
);
CollectionAssert.AreEqual
(
SparseWeight8.Create(new System.Numerics.Vector4(0, 2, 2, 3), new System.Numerics.Vector4(4, 3, 2, 1)).Expand(4),
SparseWeight8.Create(4, 0, 5, 1).Expand(4)
);
CollectionAssert.AreEqual
(
SparseWeight8.Create(new System.Numerics.Vector4(1, 1, 1, 1), new System.Numerics.Vector4(1, 1, 1, 1)).Expand(4),
SparseWeight8.Create(0, 4, 0, 0).Expand(4)
);
}
public void TestSparseEquality()
{
Assert.IsTrue(SparseWeight8.AreEqual(SparseWeight8.Create(0, 1), SparseWeight8.Create(0, 1)));
Assert.IsFalse(SparseWeight8.AreEqual(SparseWeight8.Create(0, 1), SparseWeight8.Create(0, 1, 0.25f)));
Assert.IsFalse(SparseWeight8.AreEqual(SparseWeight8.Create(0, 1), SparseWeight8.Create(1, 0)));
// check if two "half weights" are equal to one "full weight"
//Assert.IsTrue(SparseWeight8.AreWeightsEqual(SparseWeight8.Create((3, 5), (3, 5)), SparseWeight8.Create((3, 10))));
}
static void CheckIndexOrdered(SparseWeight8 sparse)
{
Assert.LessOrEqual(sparse.Index0, sparse.Index0);
Assert.LessOrEqual(sparse.Index1, sparse.Index1);
Assert.LessOrEqual(sparse.Index2, sparse.Index2);
Assert.LessOrEqual(sparse.Index3, sparse.Index3);
Assert.LessOrEqual(sparse.Index4, sparse.Index4);
Assert.LessOrEqual(sparse.Index5, sparse.Index5);
Assert.LessOrEqual(sparse.Index6, sparse.Index6);
}
static void CheckWeightOrdered(SparseWeight8 sparse)
{
Assert.GreaterOrEqual(Math.Abs(sparse.Weight0), Math.Abs(sparse.Weight1));
Assert.GreaterOrEqual(Math.Abs(sparse.Weight1), Math.Abs(sparse.Weight2));
Assert.GreaterOrEqual(Math.Abs(sparse.Weight2), Math.Abs(sparse.Weight3));
Assert.GreaterOrEqual(Math.Abs(sparse.Weight3), Math.Abs(sparse.Weight4));
Assert.GreaterOrEqual(Math.Abs(sparse.Weight4), Math.Abs(sparse.Weight5));
Assert.GreaterOrEqual(Math.Abs(sparse.Weight5), Math.Abs(sparse.Weight6));
Assert.GreaterOrEqual(Math.Abs(sparse.Weight6), Math.Abs(sparse.Weight7));
}
public void TestSparseWeightsLinearInterpolation1()
{
var x = SparseWeight8.Create(0, 0, 1, 2); CollectionAssert.AreEqual(new[] { 0f, 0f, 1f, 2f }, x.Expand(4));
var y = SparseWeight8.Create(1, 2, 0, 0); CollectionAssert.AreEqual(new[] { 1f, 2f, 0f, 0f }, y.Expand(4));
var z = SparseWeight8.InterpolateLinear(x, y, 0.5f);
Assert.AreEqual(0.5f, z[0]);
Assert.AreEqual(1, z[1]);
Assert.AreEqual(0.5f, z[2]);
Assert.AreEqual(1, z[3]);
}
public void TestSparseCreation(params float[] array1)
{
var array2 = CreateSparseCompatibleArray(array1);
var array3 = array1
.Select((val, idx) => (idx, val))
.Where(item => item.val != 0)
.Reverse()
.ToArray();
// creation mode 1
var sparse = SparseWeight8.Create(array1);
Assert.AreEqual(array2.Sum(), sparse.WeightSum);
CollectionAssert.AreEqual(array2, sparse.Expand(array2.Length));
// creation mode 2
var indexedSparse = SparseWeight8.Create(array3);
Assert.AreEqual(array2.Sum(), indexedSparse.WeightSum, 0.000001f);
CollectionAssert.AreEqual(array2, indexedSparse.Expand(array2.Length));
Assert.IsTrue(SparseWeight8.AreEqual(sparse, indexedSparse));
// sort by weights
var sByWeights = SparseWeight8.OrderedByWeight(sparse);
Assert.AreEqual(array2.Sum(), sByWeights.WeightSum);
CollectionAssert.AreEqual(array2, sByWeights.Expand(array2.Length));
CheckWeightOrdered(sByWeights);
// sort by indices
var sByIndices = SparseWeight8.OrderedByIndex(sByWeights);
Assert.AreEqual(array2.Sum(), sByIndices.WeightSum);
CollectionAssert.AreEqual(array2, sByIndices.Expand(array2.Length));
CheckIndexOrdered(sByWeights);
// equality
Assert.IsTrue(SparseWeight8.AreEqual(sByIndices, sByWeights));
Assert.AreEqual(sByIndices.GetHashCode(), sByWeights.GetHashCode());
// sum
var sum = SparseWeight8.Add(sByIndices, sByWeights);
Assert.AreEqual(array2.Sum() * 2, sum.WeightSum);
// complement normalization
if (!array2.Any(item => item < 0))
{
Assert.GreaterOrEqual(sparse.GetNormalizedWithComplement(int.MaxValue).WeightSum, 1);
}
}
public void TestSparseNormalization()
{
var sparse1 = SparseWeight8
.Create(0, 0, 0, 0, 0, 0.1f, 0.7f, 0, 0, 0, 0.1f)
.GetNormalizedWithComplement(int.MaxValue);
Assert.AreEqual(0.1f, sparse1[5]);
Assert.AreEqual(0.7f, sparse1[6]);
Assert.AreEqual(0.1f, sparse1[10]);
Assert.AreEqual(0.1f, sparse1[int.MaxValue], 0.0000001f);
Assert.AreEqual(1, sparse1.WeightSum);
}
public void TestSparseWeightReduction()
{
var a = SparseWeight8.Create(5, 3, 2, 4, 0, 4, 2);
var b = a.GetReducedWeights(4);
Assert.AreEqual(0, b.Weight4);
Assert.AreEqual(0, b.Weight5);
Assert.AreEqual(0, b.Weight6);
Assert.AreEqual(0, b.Weight7);
Assert.AreEqual(a.WeightSum, b.WeightSum, 0.00001f);
}
public void TestSparseWeightsLinearInterpolation2()
{
var ax = new float[] { 0, 0, 0, 0, 0, 0.1f, 0.7f, 0, 0, 0, 0.1f };
var ay = new float[] { 0, 0, 0.2f, 0, 0.1f, 0, 0, 0, 0, 0, 0, 0, 0.2f };
var cc = Math.Min(ax.Length, ay.Length);
var x = SparseWeight8.Create(ax); CollectionAssert.AreEqual(ax, x.Expand(ax.Length));
var y = SparseWeight8.Create(ay); CollectionAssert.AreEqual(ay, y.Expand(ay.Length));
var z = SparseWeight8.InterpolateLinear(x, y, 0.5f);
for (int i = 0; i < cc; ++i)
{
var w = (ax[i] + ay[i]) / 2;
Assert.AreEqual(w, z[i]);
}
}
public void TestSparseWeightReduction()
{
var a = SparseWeight8.Create(5, 3, 2, 4, 0, 4, 2, 6, 3, 6, 1);
var b = a.GetTrimmed(4);
Assert.AreEqual(4, b.GetNonZeroWeights().Count());
Assert.AreEqual(a[0], b[0]);
Assert.AreEqual(a[3], b[3]);
Assert.AreEqual(a[7], b[7]);
Assert.AreEqual(a[9], b[9]);
Assert.AreEqual(0, b.Weight4);
Assert.AreEqual(0, b.Weight5);
Assert.AreEqual(0, b.Weight6);
Assert.AreEqual(0, b.Weight7);
}