Numpy compatible vsplit; minor change to numpy split

python/mxnet/ndarray/numpy/_op.py

@@ -32,11 +32,11 @@
            'absolute', 'exp', 'expm1', 'arcsin', 'arccos', 'arctan', 'sign', 'log', 'degrees', 'log2',
            'log1p', 'rint', 'radians', 'reciprocal', 'square', 'negative', 'fix', 'ceil', 'floor',
            'trunc', 'logical_not', 'arcsinh', 'arccosh', 'arctanh', 'tensordot', 'histogram', 'eye',
-           'linspace', 'expand_dims', 'tile', 'arange', 'split', 'concatenate', 'stack', 'vstack', 'dstack',
-           'mean', 'maximum', 'minimum', 'swapaxes', 'clip', 'argmax', 'std', 'var', 'indices', 'copysign',
-           'ravel', 'hanning', 'hamming', 'blackman', 'flip', 'around', 'hypot', 'rad2deg', 'deg2rad',
-           'unique', 'lcm', 'tril', 'identity', 'take', 'ldexp', 'vdot', 'inner', 'outer',
-           'equal', 'not_equal', 'greater', 'less', 'greater_equal', 'less_equal']
+           'linspace', 'expand_dims', 'tile', 'arange', 'split', 'vsplit', 'concatenate', 'stack',
+           'vstack', 'dstack', 'mean', 'maximum', 'minimum', 'swapaxes', 'clip', 'argmax', 'std', 'var',
+           'indices', 'copysign', 'ravel', 'hanning', 'hamming', 'blackman', 'flip', 'around', 'hypot',
+           'rad2deg', 'deg2rad', 'unique', 'lcm', 'tril', 'identity', 'take', 'ldexp', 'vdot',
+           'inner', 'outer', 'equal', 'not_equal', 'greater', 'less', 'greater_equal', 'less_equal']
 
 
 @set_module('mxnet.ndarray.numpy')
@@ -823,7 +823,6 @@ def eye(N, M=None, k=0, dtype=_np.float32, **kwargs):
 def linspace(start, stop, num=50, endpoint=True, retstep=False, dtype=None, axis=0, ctx=None):  # pylint: disable=too-many-arguments
     r"""
     Return evenly spaced numbers over a specified interval.
-
     Returns num evenly spaced samples, calculated over the interval [start, stop].
     The endpoint of the interval can optionally be excluded.
 
@@ -2354,7 +2353,7 @@ def split(ary, indices_or_sections, axis=0):
     ----------
     ary : ndarray
         Array to be divided into sub-arrays.
-    indices_or_sections : int or 1-D array
+    indices_or_sections : int or 1-D python tuple, list or set.
         If `indices_or_sections` is an integer, N, the array will be divided
         into N equal arrays along `axis`.  If such a split is not possible,
         an error is raised.
@@ -2386,17 +2385,94 @@ def split(ary, indices_or_sections, axis=0):
             raise ValueError('array split does not result in an equal division')
         section_size = int(axis_size / sections)
         indices = [i * section_size for i in range(sections)]
-    elif isinstance(indices_or_sections, tuple):
+    elif isinstance(indices_or_sections, (list, set, tuple)):
         indices = [0] + list(indices_or_sections)
     else:
-        raise ValueError('indices_or_sections must either int or tuple of ints')
+        raise ValueError('indices_or_sections must either int, or tuple / list / set of ints')
     ret = _npi.split(ary, indices, axis, False)
     if not isinstance(ret, list):
         return [ret]
     return ret
 # pylint: enable=redefined-outer-name
 
 
+@set_module('mxnet.ndarray.numpy')
+def vsplit(ary, indices_or_sections):
+    r"""
+    vsplit(ary, indices_or_sections)
+
+    Split an array into multiple sub-arrays vertically (row-wise).
+
+    ``vsplit`` is equivalent to ``split`` with `axis=0` (default): the array is always split
+    along the first axis regardless of the array dimension.
+
+    Parameters
+    ----------
+    ary : ndarray
+        Array to be divided into sub-arrays.
+    indices_or_sections : int or 1 - D Python tuple, list or set.
+        If `indices_or_sections` is an integer, N, the array will be divided into N equal arrays
+        along axis 0.  If such a split is not possible, an error is raised.
+
+        If `indices_or_sections` is a 1-D array of sorted integers, the entries indicate where
+        along axis 0 the array is split.  For example, ``[2, 3]`` would result in
+
+          - ary[:2]
+          - ary[2:3]
+          - ary[3:]
+
+        If an index exceeds the dimension of the array along axis 0, an error will be thrown.
+
+    Returns
+    -------
+    sub-arrays : list of ndarrays
+        A list of sub-arrays.
+
+    See Also
+    --------
+    split : Split an array into multiple sub-arrays of equal size.
+
+    Notes
+    -------
+    This function differs from the original `numpy.degrees
+    <https://docs.scipy.org/doc/numpy/reference/generated/numpy.degrees.html>`_ in
+    the following aspects:
+
+    - Currently parameter ``indices_or_sections`` does not support ndarray, but supports scalar,
+    tuple and list.
+    - In ``indices_or_sections``, if an index exceeds the dimension of the array along axis 0,
+    an error will be thrown.
+
+    Examples
+    --------
+    >>> x = np.arange(16.0).reshape(4, 4)
+    >>> x
+    array([[  0.,   1.,   2.,   3.],
+           [  4.,   5.,   6.,   7.],
+           [  8.,   9.,  10.,  11.],
+           [ 12.,  13.,  14.,  15.]])
+    >>> np.vsplit(x, 2)
+    [array([[0., 1., 2., 3.],
+            [4., 5., 6., 7.]]), array([[ 8.,  9., 10., 11.],
+            [12., 13., 14., 15.]])]
+
+    With a higher dimensional array the split is still along the first axis.
+
+    >>> x = np.arange(8.0).reshape(2, 2, 2)
+    >>> x
+    array([[[ 0.,  1.],
+            [ 2.,  3.]],
+           [[ 4.,  5.],
+            [ 6.,  7.]]])
+    >>> np.vsplit(x, 2)
+    [array([[[0., 1.],
+            [2., 3.]]]), array([[[4., 5.],
+            [6., 7.]]])]
+
+    """
+    return split(ary, indices_or_sections, 0)
+
+
 @set_module('mxnet.ndarray.numpy')
 def concatenate(seq, axis=0, out=None):
     """Join a sequence of arrays along an existing axis.

python/mxnet/numpy/multiarray.py

@@ -50,11 +50,12 @@
            'sqrt', 'cbrt', 'abs', 'absolute', 'exp', 'expm1', 'arcsin', 'arccos', 'arctan', 'sign', 'log',
            'degrees', 'log2', 'log1p', 'rint', 'radians', 'reciprocal', 'square', 'negative',
            'fix', 'ceil', 'floor', 'trunc', 'logical_not', 'arcsinh', 'arccosh', 'arctanh',
-           'tensordot', 'histogram', 'eye', 'linspace', 'expand_dims', 'tile', 'arange', 'split', 'concatenate',
-           'stack', 'vstack', 'dstack', 'mean', 'maximum', 'minimum', 'swapaxes', 'clip', 'argmax', 'std', 'var',
-           'indices', 'copysign', 'ravel', 'hanning', 'hamming', 'blackman', 'flip', 'around', 'arctan2', 'hypot',
-           'rad2deg', 'deg2rad', 'unique', 'lcm', 'tril', 'identity', 'take', 'ldexp', 'vdot', 'inner', 'outer',
-           'equal', 'not_equal', 'greater', 'less', 'greater_equal', 'less_equal']
+           'tensordot', 'histogram', 'eye', 'linspace', 'expand_dims', 'tile', 'arange', 'split', 'vsplit',
+           'concatenate', 'stack', 'vstack', 'dstack', 'mean', 'maximum', 'minimum', 'swapaxes', 'clip',
+           'argmax', 'std', 'var', 'indices', 'copysign', 'ravel', 'hanning', 'hamming', 'blackman', 'flip',
+           'around', 'arctan2', 'hypot', 'rad2deg', 'deg2rad', 'unique', 'lcm', 'tril', 'identity', 'take',
+           'ldexp', 'vdot', 'inner', 'outer', 'equal', 'not_equal', 'greater', 'less', 'greater_equal',
+           'less_equal']
 
 
 # Return code for dispatching indexing function call
@@ -3922,7 +3923,7 @@ def split(ary, indices_or_sections, axis=0):
     ----------
     ary : ndarray
         Array to be divided into sub-arrays.
-    indices_or_sections : int or 1-D array
+    indices_or_sections : int or 1-D Python tuple, list or set.
         If `indices_or_sections` is an integer, N, the array will be divided
         into N equal arrays along `axis`.  If such a split is not possible,
         an error is raised.
@@ -3948,6 +3949,83 @@ def split(ary, indices_or_sections, axis=0):
     return _mx_nd_np.split(ary, indices_or_sections, axis=axis)
 
 
+@set_module('mxnet.numpy')
+def vsplit(ary, indices_or_sections):
+    r"""
+    vsplit(ary, indices_or_sections)
+
+    Split an array into multiple sub-arrays vertically (row-wise).
+
+    ``vsplit`` is equivalent to ``split`` with `axis=0` (default): the array is always split
+    along the first axis regardless of the array dimension.
+
+    Parameters
+    ----------
+    ary : ndarray
+        Array to be divided into sub-arrays.
+    indices_or_sections : int or 1 - D Python tuple, list or set.
+        If `indices_or_sections` is an integer, N, the array will be divided into N equal arrays
+        along axis 0.  If such a split is not possible, an error is raised.
+
+        If `indices_or_sections` is a 1-D array of sorted integers, the entries indicate where
+        along axis 0 the array is split.  For example, ``[2, 3]`` would result in
+
+          - ary[:2]
+          - ary[2:3]
+          - ary[3:]
+
+        If an index exceeds the dimension of the array along axis 0, an error will be thrown.
+
+    Returns
+    -------
+    sub-arrays : list of ndarrays
+        A list of sub-arrays.
+
+    See Also
+    --------
+    split : Split an array into multiple sub-arrays of equal size.
+
+    Notes
+    -------
+    This function differs from the original `numpy.degrees
+    <https://docs.scipy.org/doc/numpy/reference/generated/numpy.degrees.html>`_ in
+    the following aspects:
+
+    - Currently parameter ``indices_or_sections`` does not support ndarray, but supports scalar,
+    tuple and list.
+    - In ``indices_or_sections``, if an index exceeds the dimension of the array along axis 0,
+    an error will be thrown.
+
+    Examples
+    --------
+    >>> x = np.arange(16.0).reshape(4, 4)
+    >>> x
+    array([[  0.,   1.,   2.,   3.],
+           [  4.,   5.,   6.,   7.],
+           [  8.,   9.,  10.,  11.],
+           [ 12.,  13.,  14.,  15.]])
+    >>> np.vsplit(x, 2)
+    [array([[0., 1., 2., 3.],
+            [4., 5., 6., 7.]]), array([[ 8.,  9., 10., 11.],
+            [12., 13., 14., 15.]])]
+
+    With a higher dimensional array the split is still along the first axis.
+
+    >>> x = np.arange(8.0).reshape(2, 2, 2)
+    >>> x
+    array([[[ 0.,  1.],
+            [ 2.,  3.]],
+           [[ 4.,  5.],
+            [ 6.,  7.]]])
+    >>> np.vsplit(x, 2)
+    [array([[[0., 1.],
+            [2., 3.]]]), array([[[4., 5.],
+            [6., 7.]]])]
+
+    """
+    return split(ary, indices_or_sections, 0)
+
+
 @set_module('mxnet.numpy')
 def concatenate(seq, axis=0, out=None):
     """Join a sequence of arrays along an existing axis.

python/mxnet/symbol/numpy/_symbol.py

@@ -34,11 +34,11 @@
            'expm1', 'arcsin', 'arccos', 'arctan', 'sign', 'log', 'degrees', 'log2', 'log1p',
            'rint', 'radians', 'reciprocal', 'square', 'negative', 'fix', 'ceil', 'floor',
            'trunc', 'logical_not', 'arcsinh', 'arccosh', 'arctanh', 'tensordot', 'histogram', 'eye',
-           'linspace', 'expand_dims', 'tile', 'arange', 'split', 'concatenate', 'stack', 'vstack', 'dstack',
-           'mean', 'maximum', 'minimum', 'swapaxes', 'clip', 'argmax', 'std', 'var', 'indices', 'copysign',
-           'ravel', 'hanning', 'hamming', 'blackman', 'flip', 'around', 'hypot', 'rad2deg', 'deg2rad',
-           'unique', 'lcm', 'tril', 'identity', 'take', 'ldexp', 'vdot', 'inner', 'outer',
-           'equal', 'not_equal', 'greater', 'less', 'greater_equal', 'less_equal']
+           'linspace', 'expand_dims', 'tile', 'arange', 'split', 'vsplit', 'concatenate', 'stack', 'vstack',
+           'dstack', 'mean', 'maximum', 'minimum', 'swapaxes', 'clip', 'argmax', 'std', 'var', 'indices',
+           'copysign', 'ravel', 'hanning', 'hamming', 'blackman', 'flip', 'around', 'hypot',
+           'rad2deg', 'deg2rad', 'unique', 'lcm', 'tril', 'identity', 'take', 'ldexp', 'vdot',
+           'inner', 'outer', 'equal', 'not_equal', 'greater', 'less', 'greater_equal', 'less_equal']
 
 
 def _num_outputs(sym):
@@ -2573,7 +2573,7 @@ def split(ary, indices_or_sections, axis=0):
     ----------
     ary : ndarray
         Array to be divided into sub-arrays.
-    indices_or_sections : int or 1-D array
+    indices_or_sections : int or 1-D python tuple, list or set.
         If `indices_or_sections` is an integer, N, the array will be divided
         into N equal arrays along `axis`.  If such a split is not possible,
         an error is raised.
@@ -2600,15 +2600,66 @@ def split(ary, indices_or_sections, axis=0):
     sections = 0
     if isinstance(indices_or_sections, int):
         sections = indices_or_sections
-    elif isinstance(indices_or_sections, tuple):
+    elif isinstance(indices_or_sections, (list, set, tuple)):
         indices = [0] + list(indices_or_sections)
     else:
-        raise ValueError('indices_or_sections must either int or tuple of ints')
+        raise ValueError('indices_or_sections must either int or tuple / list / set of ints')
     ret = _npi.split(ary, indices, axis, False, sections)
     return ret
 # pylint: enable=redefined-outer-name
 
 
+@set_module('mxnet.symbol.numpy')
+def vsplit(ary, indices_or_sections):
+    r"""
+    vsplit(ary, indices_or_sections)
+
+    Split an array into multiple sub-arrays vertically (row-wise).
+
+    ``vsplit`` is equivalent to ``split`` with `axis=0` (default): the array is always split
+    along the first axis regardless of the array dimension.
+
+    Parameters
+    ----------
+    ary : _Symbol
+        Array to be divided into sub-arrays.
+    indices_or_sections : int or 1 - D Python tuple, list or set.
+        If `indices_or_sections` is an integer, N, the array will be divided into N equal arrays
+        along axis 0.  If such a split is not possible, an error is raised.
+
+        If `indices_or_sections` is a 1-D array of sorted integers, the entries indicate where
+        along axis 0 the array is split.  For example, ``[2, 3]`` would result in
+
+          - ary[:2]
+          - ary[2:3]
+          - ary[3:]
+
+        If an index exceeds the dimension of the array along axis 0, an error will be thrown.
+
+    Returns
+    -------
+    sub-arrays : list of _Symbols
+        A list of sub-arrays.
+
+    See Also
+    --------
+    split : Split an array into multiple sub-arrays of equal size.
+
+    Notes
+    -------
+    This function differs from the original `numpy.degrees
+    <https://docs.scipy.org/doc/numpy/reference/generated/numpy.degrees.html>`_ in
+    the following aspects:
+
+    - Currently parameter ``indices_or_sections`` does not support ndarray, but supports scalar,
+    tuple and list
+    - In ``indices_or_sections``, if an index exceeds the dimension of the array along axis 0,
+    an error will be thrown.
+
+    """
+    return split(ary, indices_or_sections, 0)
+
+
 @set_module('mxnet.symbol.numpy')
 def concatenate(seq, axis=0, out=None):
     """Join a sequence of arrays along an existing axis.

tests/python/unittest/test_numpy_op.py

@@ -1583,6 +1583,61 @@ def get_indices(axis_size):
                     assert_almost_equal(mx_out.asnumpy(), np_out, rtol=1e-3, atol=1e-5)
 
 
+@with_seed()
+@use_np
+def test_np_vsplit():
+    class TestVsplit(HybridBlock):
+        def __init__(self, indices_or_sections):
+            super(TestVsplit, self).__init__()
+            self._indices_or_sections = indices_or_sections
+
+        def hybrid_forward(self, F, a, *args, **kwargs):
+            return F.np.vsplit(a, indices_or_sections=self._indices_or_sections)
+
+    def get_indices(axis_size):
+        if axis_size is 0:
+            axis_size = random.randint(3, 6)
+        samples = random.randint(1, axis_size - 1)
+        indices = sorted(random.sample([i for i in range(1, axis_size)], samples))
+        indices = tuple(indices)
+        return indices
+
+    shapes = [
+        (2, 1, 2, 9),
+        (4, 3, 3),
+        (4, 0, 2),  # zero-size shape
+        (0, 3), # first dim being zero
+    ]
+    for hybridize in [True, False]:
+        for shape in shapes:
+            axis_size = shape[0]
+            indices = get_indices(axis_size)
+            sections = 7 if axis_size is 0 else axis_size
+            for indices_or_sections in [indices, sections]:
+                # test gluon
+                test_vsplit = TestVsplit(indices_or_sections=indices_or_sections)
+                if hybridize:
+                    test_vsplit.hybridize()
+                a = rand_ndarray(shape).as_np_ndarray() # TODO: check type
+                a.attach_grad()
+                expected_ret = _np.vsplit(a.asnumpy(), indices_or_sections=indices_or_sections)
+                with mx.autograd.record():
+                    y = test_vsplit(a)
+                assert len(y) == len(expected_ret)
+                for mx_out, np_out in zip(y, expected_ret):
+                    assert_almost_equal(mx_out.asnumpy(), np_out, rtol=1e-3, atol=1e-5)
+
+                mx.autograd.backward(y)
+
+                assert_almost_equal(a.grad.asnumpy(), _np.ones(a.shape), rtol=1e-3, atol=1e-5)
+
+                # test imperative
+                mx_outs = np.vsplit(a, indices_or_sections=indices_or_sections)
+                np_outs = _np.vsplit(a.asnumpy(), indices_or_sections=indices_or_sections)
+                for mx_out, np_out in zip(mx_outs, np_outs):
+                    assert_almost_equal(mx_out.asnumpy(), np_out, rtol=1e-3, atol=1e-5)
+
+
 @with_seed()
 @use_np
 def test_np_concat():