test(axes): Add tensordot tests

test/utils/test_axes.py

@@ -559,12 +559,51 @@ def test_linalg_solve_incompatible_left():
         np.linalg.solve(arrA, arrb)
 
 
+def test_ts_to_einsum_int_axes():
+    a_str, b_str = axes._tensordot_to_einsum(3, 3, 2).split(",")
+    # expecting 'abc,bcf
+    assert a_str[1] == b_str[0]
+    assert a_str[2] == b_str[1]
+    assert a_str[0] not in b_str
+    assert b_str[2] not in a_str
+
+
+def test_ts_to_einsum_list_axes():
+    a_str, b_str = axes._tensordot_to_einsum(3, 3, [[1], [2]]).split(",")
+    # expecting 'abcd,efbh
+    assert a_str[0] not in b_str
+    assert a_str[1] == b_str[2]
+    assert a_str[2] not in b_str
+    assert a_str[3] not in b_str
+    assert b_str[0] not in a_str
+    assert b_str[1] not in a_str
+    assert b_str[3] not in a_str
+
+
 def test_tensordot_int_axes():
-    ...
+    axes_a = {"ax_a": 0, "ax_b": [1, 2]}
+    axes_b = {"ax_b": [0, 1], "ax_c": 2}
+    arr = np.arange(8).reshape((2, 2, 2))
+    arr_a = AxesArray(arr, axes_a)
+    arr_b = AxesArray(arr, axes_b)
+    result = np.tensordot(arr_a, arr_b, 2)
+    super_result = np.tensordot(arr, arr, 2)
+    expected_axes = {"ax_a": 0, "ax_c": 1}
+    assert result.axes == expected_axes
+    assert_array_equal(result, super_result)
 
 
 def test_tensordot_list_axes():
-    ...
+    axes_a = {"ax_a": 0, "ax_b": [1, 2]}
+    axes_b = {"ax_c": [0, 1], "ax_b": 2}
+    arr = np.arange(8).reshape((2, 2, 2))
+    arr_a = AxesArray(arr, axes_a)
+    arr_b = AxesArray(arr, axes_b)
+    result = np.tensordot(arr_a, arr_b, [[1], [2]])
+    super_result = np.tensordot(arr, arr, 2)
+    expected_axes = {"ax_a": 0, "ax_b": 1, "ax_c": [2, 3]}
+    assert result.axes == expected_axes
+    assert_array_equal(result, super_result)
 
 
 def test_einsum_implicit():