ckt624 commented on a change in pull request #15349: Numpy Tensordot Operator 
URL: https://github.com/apache/incubator-mxnet/pull/15349#discussion_r302852496
 
 

 ##########
 File path: tests/python/unittest/test_numpy_op.py
 ##########
 @@ -26,6 +26,151 @@
 from mxnet.test_utils import check_numeric_gradient
 from common import assertRaises, with_seed
 import random
+import collections
+
+@with_seed()
+@npx.use_np_shape
+def test_np_tensordot():
+    class TestTensordot(HybridBlock):
+        def __init__(self, axes):
+            super(TestTensordot, self).__init__()
+            self._axes = axes
+            
+        def hybrid_forward(self, F, a, b):
+            return F.np.tensordot(a, b, self._axes)
+
+    def tensordot_backward(a, b, axes = 2):
+        if (a.ndim < 1) or (b.ndim < 1):
+            raise ValueError('An input is zero-dim')
+
+        if isinstance(axes, collections.abc.Sequence):
+            if len(axes) != 2:
+                raise ValueError('Axes must consist of two arrays.')
+            a_axes_summed, b_axes_summed = axes
+            if _np.isscalar(a_axes_summed):
+                a_axes_summed = a_axes_summed,
+            if _np.isscalar(b_axes_summed):
+                b_axes_summed = b_axes_summed,
+        else:
+            a_axes_summed = [i + a.ndim - axes for i in range(axes)]
+            b_axes_summed = [i for i in range(axes)]
+
+        if len(a_axes_summed) != len(b_axes_summed):
+            raise ValueError('Axes length mismatch') 
+
+        a_axes_remained = []
+        for i in range(a.ndim):
+            if not (i in a_axes_summed):
+                a_axes_remained.append(i)
+        a_axes = a_axes_remained[:] + a_axes_summed[:]
+
+        b_axes_remained = []
+        for i in range(b.ndim):
+            if not (i in b_axes_summed):
+                b_axes_remained.append(i)
+        b_axes = b_axes_summed[:] + b_axes_remained[:]
+        
+        ad1 = _np.prod([a.shape[i] for i in a_axes_remained]) if 
len(a_axes_remained) > 0 else 1
+        ad2 = _np.prod([a.shape[i] for i in a_axes_summed]) if 
len(a_axes_summed) > 0 else 1
+        bd1 = _np.prod([b.shape[i] for i in b_axes_summed]) if 
len(b_axes_summed) > 0 else 1
+        bd2 = _np.prod([b.shape[i] for i in b_axes_remained]) if 
len(b_axes_remained) > 0 else 1
+        
+        out_grad = _np.ones((ad1, bd2))
+
+        new_a = _np.transpose(a, a_axes)
+        new_a_shape = new_a.shape[:]
+        new_a = new_a.reshape((ad1, ad2)) 
+        new_b = _np.transpose(b, b_axes) 
+        new_b_shape = new_b.shape[:]
+        new_b = new_b.reshape((bd1, bd2))
+        
+        reverse_a_axes = [0 for i in a_axes]
+        for i in range(len(a_axes)):
+            reverse_a_axes[a_axes[i]] = i
+            
+        reverse_b_axes = [0 for i in b_axes]
+        for i in range(len(b_axes)):
+            reverse_b_axes[b_axes[i]] = i
+
+        grad_b = _np.dot(new_a.T, out_grad).reshape(new_b_shape)
+        grad_b = _np.transpose(grad_b, reverse_b_axes)
+        grad_a = _np.dot(out_grad, new_b.T).reshape(new_a_shape)
+        grad_a = _np.transpose(grad_a, reverse_a_axes)
+        
+        return [grad_a, grad_b]
+
+    # test non zero size input
+    tensor_shapes = [ 
+        ((3, 5), (5, 4), 1),  # (a_shape, b_shape, axes)
+        ((3,), (3,), 1),       
+        ((3, 4, 5, 6, 7), (5, 6, 7, 1, 2), 3),
+        ((3, 5, 4, 6, 7), (7, 6, 5, 1, 2), [[1, 3, 4], [2, 1, 0]]),
+        ((2, 2), (2, 2), 2),
+        ((3, 5, 4), (5, ), [[1], [0]]),  
+        ((2,), (2, 3), 1),
+        ((3,), (3,), 0),
+        ((2,), (2, 3), 0),
+        ((3, 5, 4), (5, ), 0)
+    ]
+    
+    for hybridize in [True, False]:
+        for a_shape, b_shape, axes in tensor_shapes:
+            for dtype in [_np.float32, _np.float64]:
 
 Review comment:
   Don't support fp16 at CPU.

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