BUG: name retention in Index.intersection

doc/source/whatsnew/v1.2.0.rst

@@ -801,6 +801,7 @@ Other
 - Fixed bug in metadata propagation incorrectly copying DataFrame columns as metadata when the column name overlaps with the metadata name (:issue:`37037`)
 - Fixed metadata propagation in the :class:`Series.dt`, :class:`Series.str` accessors, :class:`DataFrame.duplicated`, :class:`DataFrame.stack`, :class:`DataFrame.unstack`, :class:`DataFrame.pivot`, :class:`DataFrame.append`, :class:`DataFrame.diff`, :class:`DataFrame.applymap` and :class:`DataFrame.update` methods (:issue:`28283`, :issue:`37381`)
 - Fixed metadata propagation when selecting columns with ``DataFrame.__getitem__`` (:issue:`28283`)
+- Bug in :meth:`Index.intersection` with non-:class:`Index` failing to set the correct name on the returned :class:`Index` (:issue:`38111`)
 - Bug in :meth:`Index.union` behaving differently depending on whether operand is an :class:`Index` or other list-like (:issue:`36384`)
 - Bug in :meth:`Index.intersection` with non-matching numeric dtypes casting to ``object`` dtype instead of minimal common dtype (:issue:`38122`)
 - Passing an array with 2 or more dimensions to the :class:`Series` constructor now raises the more specific ``ValueError`` rather than a bare ``Exception`` (:issue:`35744`)

pandas/core/indexes/base.py

@@ -2821,7 +2821,7 @@ def intersection(self, other, sort=False):
         """
         self._validate_sort_keyword(sort)
         self._assert_can_do_setop(other)
-        other = ensure_index(other)
+        other, _ = self._convert_can_do_setop(other)
 
         if self.equals(other) and not self.has_duplicates:
             return self._get_reconciled_name_object(other)

pandas/core/indexes/datetimelike.py

@@ -686,10 +686,17 @@ def intersection(self, other, sort=False):
         """
         self._validate_sort_keyword(sort)
         self._assert_can_do_setop(other)
+        other, _ = self._convert_can_do_setop(other)
 
         if self.equals(other):
             return self._get_reconciled_name_object(other)
 
+        return self._intersection(other, sort=sort)
+
+    def _intersection(self, other: Index, sort=False) -> Index:
+        """
+        intersection specialized to the case with matching dtypes.
+        """
         if len(self) == 0:
             return self.copy()._get_reconciled_name_object(other)
         if len(other) == 0:
@@ -704,10 +711,11 @@ def intersection(self, other, sort=False):
             return result
 
         elif not self._can_fast_intersect(other):
-            result = Index.intersection(self, other, sort=sort)
-            # We need to invalidate the freq because Index.intersection
+            result = Index._intersection(self, other, sort=sort)
+            # We need to invalidate the freq because Index._intersection
             #  uses _shallow_copy on a view of self._data, which will preserve
             #  self.freq if we're not careful.
+            result = self._wrap_setop_result(other, result)
             return result._with_freq(None)._with_freq("infer")
 
         # to make our life easier, "sort" the two ranges

pandas/core/indexes/interval.py

@@ -124,7 +124,11 @@ def setop_check(method):
     def wrapped(self, other, sort=False):
         self._validate_sort_keyword(sort)
         self._assert_can_do_setop(other)
-        other = ensure_index(other)
+        other, _ = self._convert_can_do_setop(other)
+
+        if op_name == "intersection":
+            if self.equals(other):
+                return self._get_reconciled_name_object(other)
 
         if not isinstance(other, IntervalIndex):
             result = getattr(self.astype(object), op_name)(other)

pandas/core/indexes/multi.py

@@ -3603,7 +3603,12 @@ def intersection(self, other, sort=False):
         if self.equals(other):
             if self.has_duplicates:
                 return self.unique().rename(result_names)
-            return self.rename(result_names)
+            return self._get_reconciled_name_object(other)
+
+        return self._intersection(other, sort=sort)
+
+    def _intersection(self, other, sort=False):
+        other, result_names = self._convert_can_do_setop(other)
 
         if not is_object_dtype(other.dtype):
             # The intersection is empty
@@ -3721,7 +3726,7 @@ def _convert_can_do_setop(self, other):
             else:
                 msg = "other must be a MultiIndex or a list of tuples"
                 try:
-                    other = MultiIndex.from_tuples(other)
+                    other = MultiIndex.from_tuples(other, names=self.names)
                 except (ValueError, TypeError) as err:
                     # ValueError raised by tupels_to_object_array if we
                     #  have non-object dtype

pandas/core/indexes/period.py

@@ -639,15 +639,19 @@ def _setop(self, other, sort, opname: str):
     def intersection(self, other, sort=False):
         self._validate_sort_keyword(sort)
         self._assert_can_do_setop(other)
-        other = ensure_index(other)
+        other, _ = self._convert_can_do_setop(other)
 
         if self.equals(other):
             return self._get_reconciled_name_object(other)
 
-        elif is_object_dtype(other.dtype):
+        return self._intersection(other, sort=sort)
+
+    def _intersection(self, other, sort=False):
+
+        if is_object_dtype(other.dtype):
             return self.astype("O").intersection(other, sort=sort)
 
-        elif not is_dtype_equal(self.dtype, other.dtype):
+        elif not self._is_comparable_dtype(other.dtype):
             # We can infer that the intersection is empty.
             # assert_can_do_setop ensures that this is not just a mismatched freq
             this = self[:0].astype("O")

pandas/core/indexes/range.py

@@ -15,6 +15,7 @@
 from pandas.core.dtypes.common import (
     ensure_platform_int,
     ensure_python_int,
+    is_dtype_equal,
     is_float,
     is_integer,
     is_list_like,
@@ -504,11 +505,21 @@ def intersection(self, other, sort=False):
         intersection : Index
         """
         self._validate_sort_keyword(sort)
+        self._assert_can_do_setop(other)
+        other, _ = self._convert_can_do_setop(other)
 
         if self.equals(other):
             return self._get_reconciled_name_object(other)
 
+        return self._intersection(other, sort=sort)
+
+    def _intersection(self, other, sort=False):
+
         if not isinstance(other, RangeIndex):
+            if is_dtype_equal(other.dtype, self.dtype):
+                # Int64Index
+                result = super()._intersection(other, sort=sort)
+                return self._wrap_setop_result(other, result)
             return super().intersection(other, sort=sort)
 
         if not len(self) or not len(other):

pandas/tests/indexes/datetimes/test_setops.py

@@ -471,10 +471,11 @@ def test_intersection_bug(self):
 
     def test_intersection_list(self):
         # GH#35876
+        # values is not an Index -> no name -> retain "a"
         values = [pd.Timestamp("2020-01-01"), pd.Timestamp("2020-02-01")]
         idx = DatetimeIndex(values, name="a")
         res = idx.intersection(values)
-        tm.assert_index_equal(res, idx.rename(None))
+        tm.assert_index_equal(res, idx)
 
     def test_month_range_union_tz_pytz(self, sort):
         from pytz import timezone

pandas/tests/indexes/test_setops.py

@@ -98,13 +98,20 @@ def test_compatible_inconsistent_pairs(idx_fact1, idx_fact2):
         ("Period[D]", "float64", "object"),
     ],
 )
-def test_union_dtypes(left, right, expected):
+@pytest.mark.parametrize("names", [("foo", "foo", "foo"), ("foo", "bar", None)])
+def test_union_dtypes(left, right, expected, names):
     left = pandas_dtype(left)
     right = pandas_dtype(right)
-    a = pd.Index([], dtype=left)
-    b = pd.Index([], dtype=right)
-    result = a.union(b).dtype
-    assert result == expected
+    a = pd.Index([], dtype=left, name=names[0])
+    b = pd.Index([], dtype=right, name=names[1])
+    result = a.union(b)
+    assert result.dtype == expected
+    assert result.name == names[2]
+
+    # Testing name retention
+    # TODO: pin down desired dtype; do we want it to be commutative?
+    result = a.intersection(b)
+    assert result.name == names[2]
 
 
 def test_dunder_inplace_setops_deprecated(index):
@@ -388,6 +395,25 @@ def test_intersect_unequal(self, index, fname, sname, expected_name):
         expected = index[1:].set_names(expected_name).sort_values()
         tm.assert_index_equal(intersect, expected)
 
+    def test_intersection_name_retention_with_nameless(self, index):
+        if isinstance(index, MultiIndex):
+            index = index.rename(list(range(index.nlevels)))
+        else:
+            index = index.rename("foo")
+
+        other = np.asarray(index)
+
+        result = index.intersection(other)
+        assert result.name == index.name
+
+        # empty other, same dtype
+        result = index.intersection(other[:0])
+        assert result.name == index.name
+
+        # empty `self`
+        result = index[:0].intersection(other)
+        assert result.name == index.name
+
     def test_difference_preserves_type_empty(self, index, sort):
         # GH#20040
         # If taking difference of a set and itself, it