public void Reduce_2D_to_1D_and_0D()
{
//>>> x = np.arange(9).reshape(3, 3)
//>>> x
//array([[0, 1, 2],
// [3, 4, 5],
// [6, 7, 8]])
//>>> x[1]
//array([3, 4, 5])
//>>> x[:,1]
//array([1, 4, 7])
//>>> x[2, 2]
//8
var data = new UnmanagedStorage(new int[] { 0, 1, 2, 3, 4, 5, 6, 7, 8 });
data.Reshape(3, 3);
Assert.AreEqual(new Shape(3, 3), data.Shape);
// return identical view
var view = data.GetView("1");
Assert.AreEqual(new Shape(3), view.Shape);
AssertAreEqual(new int[] { 3, 4, 5 }, view.ToArray <int>());
// return reduced view
view = data.GetView(":,1");
Assert.AreEqual(new Shape(3), view.Shape);
AssertAreEqual(new int[] { 1, 4, 7 }, view.ToArray <int>());
view = data.GetView("2,2");
Assert.AreEqual(Shape.Scalar, view.Shape);
AssertAreEqual(new int[] { 8 }, view.ToArray <int>());
// recursive dimensionality reduction
view = data.GetView("2").GetView("2");
Assert.AreEqual(Shape.Scalar, view.Shape);
AssertAreEqual(new int[] { 8 }, view.ToArray <int>());
}
public void NestedView_2D()
{
var data = new UnmanagedStorage(new int[] { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 });
data.Reshape(2, 10);
//>>> x = np.array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9])
//>>> x = x.reshape(2, 10)
//>>> x
//array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],
// [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])
// return identical view
var identical = data.GetView(":");
Assert.AreEqual(new Shape(2, 10), identical.Shape);
//>>> x[:, 1:9]
//array([[1, 2, 3, 4, 5, 6, 7, 8],
// [1, 2, 3, 4, 5, 6, 7, 8]])
var view1 = identical.GetView(":,1:9");
Assert.AreEqual(new Shape(2, 8), view1.Shape);
AssertAreEqual(new int[] { 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8 }, view1.ToArray <int>());
//>>> x[:, 1:9][:,::- 2]
//array([[8, 6, 4, 2],
// [8, 6, 4, 2]])
var view2 = view1.GetView(":,::-2");
Assert.AreEqual(new Shape(2, 4), view2.Shape);
AssertAreEqual(new int[] { 8, 6, 4, 2, 8, 6, 4, 2 }, view2.ToArray <int>());
//>>> x[:, 1:9][:,::- 2][:,::- 3]
//array([[2, 8],
// [2, 8]])
var view3 = view2.GetView(":,::-3");
Assert.AreEqual(new Shape(2, 2), view3.Shape);
AssertAreEqual(new int[] { 2, 8, 2, 8 }, view3.ToArray <int>());
// all must see the same modifications, no matter if original or any view is modified
// modify original
data.SetData(ArraySlice.FromArray(new int[] { 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9 }));
AssertAreEqual(new int[] { -1, -2, -3, -4, -5, -6, -7, -8, -1, -2, -3, -4, -5, -6, -7, -8 }, view1.ToArray <int>());
AssertAreEqual(new int[] { -8, -6, -4, -2, -8, -6, -4, -2 }, view2.ToArray <int>());
AssertAreEqual(new int[] { -2, -8, -2, -8 }, view3.ToArray <int>());
// modify views
view1.SetValue(88, 0, 7);
view1.SetValue(888, 1, 7);
AssertAreEqual(new int[] { 0, -1, -2, -3, -4, -5, -6, -7, 88, -9, 0, -1, -2, -3, -4, -5, -6, -7, 888, -9 },
data.ToArray <int>());
AssertAreEqual(new int[] { -1, -2, -3, -4, -5, -6, -7, 88, -1, -2, -3, -4, -5, -6, -7, 888 },
view1.ToArray <int>());
AssertAreEqual(new int[] { 88, -6, -4, -2, 888, -6, -4, -2 }, view2.ToArray <int>());
AssertAreEqual(new int[] { -2, 88, -2, 888 }, view3.ToArray <int>());
view3.SetValue(22, 0, 0);
view3.SetValue(222, 1, 0);
AssertAreEqual(new int[] { 0, -1, 22, -3, -4, -5, -6, -7, 88, -9, 0, -1, 222, -3, -4, -5, -6, -7, 888, -9 },
data.ToArray <int>());
AssertAreEqual(new int[] { -1, 22, -3, -4, -5, -6, -7, 88, -1, 222, -3, -4, -5, -6, -7, 888 },
view1.ToArray <int>());
AssertAreEqual(new int[] { 88, -6, -4, 22, 888, -6, -4, 222 }, view2.ToArray <int>());
AssertAreEqual(new int[] { 22, 88, 222, 888 }, view3.ToArray <int>());
}
public void NestedDimensionalityReduction()
{
var data = new UnmanagedStorage(new int[] { 0, 1, 2, 3, 4, 5, 6, 7, 8 });
data.Reshape(3, 3);
Assert.AreEqual(new Shape(3, 3), data.Shape);
var view = data.GetView("2");
//Assert.AreEqual(new Shape(3), view.Shape);
//AssertAreEqual(new int[] { 6, 7, 8 }, view.ToArray<int>());
var view1 = view.GetView("2");
Assert.AreEqual(Shape.Scalar, view1.Shape);
AssertAreEqual(new int[] { 8 }, view1.ToArray <int>());
var view2 = view.GetView("1::-1");
Assert.AreEqual(new Shape(2), view2.Shape);
AssertAreEqual(new int[] { 7, 6 }, view2.ToArray <int>());
}
public void GetData_2D()
{
//>>> x = np.arange(9).reshape(3, 3)
//>>> x
//array([[0, 1, 2],
// [3, 4, 5],
// [6, 7, 8]])
//>>> x[:]
//array([[0, 1, 2],
// [3, 4, 5],
// [6, 7, 8]])
//>>> x[1:]
//array([[3, 4, 5],
// [6, 7, 8]])
//>>> x[1:,:]
//array([[3, 4, 5],
// [6, 7, 8]])
//>>> x[:, 1:]
//array([[1, 2],
// [4, 5],
// [7, 8]])
//>>> x[1:2, 0:1]
//array([[3]])
var data = new UnmanagedStorage(new int[] { 0, 1, 2, 3, 4, 5, 6, 7, 8 });
data.Reshape(3, 3);
Assert.AreEqual(new Shape(3, 3), data.Shape);
// return identical view
var view = data.GetView(":");
Assert.AreEqual(new Shape(3, 3), view.Shape);
AssertAreEqual(data.ToArray <int>(), view.ToArray <int>());
// return reduced view
view = data.GetView("1:");
Assert.AreEqual(new Shape(2, 3), view.Shape);
AssertAreEqual(new int[] { 3, 4, 5, 6, 7, 8 }, view.ToArray <int>());
view = data.GetView("1:,:");
Assert.AreEqual(new Shape(2, 3), view.Shape);
AssertAreEqual(new int[] { 3, 4, 5, 6, 7, 8 }, view.ToArray <int>());
view = data.GetView(":,1:");
Assert.AreEqual(new Shape(3, 2), view.Shape);
AssertAreEqual(new int[] { 1, 2, 4, 5, 7, 8 }, view.ToArray <int>());
view = data.GetView("1:2, 0:1");
Assert.AreEqual(new Shape(1, 1), view.Shape);
AssertAreEqual(new int[] { 3 }, view.ToArray <int>());
// return stepped view
//>>> x
//array([[0, 1, 2],
// [3, 4, 5],
// [6, 7, 8]])
//>>> x[::2]
//array([[0, 1, 2],
// [6, 7, 8]])
//>>> x[::3]
//array([[0, 1, 2]])
//>>> x[::- 1]
//array([[6, 7, 8],
// [3, 4, 5],
// [0, 1, 2]])
//>>> x[::- 2]
//array([[6, 7, 8],
// [0, 1, 2]])
//>>> x[::- 3]
//array([[6, 7, 8]])
view = data.GetView("::2");
Assert.AreEqual(new Shape(2, 3), view.Shape);
AssertAreEqual(new int[] { 0, 1, 2, 6, 7, 8 }, view.ToArray <int>());
view = data.GetView("::3");
Assert.AreEqual(new Shape(1, 3), view.Shape);
AssertAreEqual(new int[] { 0, 1, 2 }, view.ToArray <int>());
view = data.GetView("::-1");
Assert.AreEqual(new Shape(3, 3), view.Shape);
AssertAreEqual(new int[] { 6, 7, 8, 3, 4, 5, 0, 1, 2, }, view.ToArray <int>());
view = data.GetView("::-2");
Assert.AreEqual(new Shape(2, 3), view.Shape);
AssertAreEqual(new int[] { 6, 7, 8, 0, 1, 2, }, view.ToArray <int>());
view = data.GetView("::-3");
Assert.AreEqual(new Shape(1, 3), view.Shape);
AssertAreEqual(new int[] { 6, 7, 8, }, view.ToArray <int>());
// N-Dim Stepping
//>>> x[::2,::2]
//array([[0, 2],
// [6, 8]])
//>>> x[::- 1,::- 2]
//array([[8, 6],
// [5, 3],
// [2, 0]])
view = data.GetView("::2, ::2");
Assert.AreEqual(new Shape(2, 2), view.Shape);
AssertAreEqual(new int[] { 0, 2, 6, 8 }, view.ToArray <int>());
view = data.GetView("::-1, ::-2");
Assert.AreEqual(new Shape(3, 2), view.Shape);
AssertAreEqual(new int[] { 8, 6, 5, 3, 2, 0 }, view.ToArray <int>());
}