pydata
diff --git a/‎xarray/core/variable.py
Lines changed: 30 additions & 6 deletions b/‎xarray/core/variable.py
Lines changed: 30 additions & 6 deletions
diff --git a/‎xarray/namedarray/_array_api.py
Lines changed: 122 additions & 0 deletions b/‎xarray/namedarray/_array_api.py
Lines changed: 122 additions & 0 deletions
@@ -369,6 +369,25 @@ def __init__(
         if encoding is not None:
             self.encoding = encoding
 
+    def _new(
+        self,
+        dims=_default,
+        data=_default,
+        attrs=_default,
+    ):
+        dims_ = copy.copy(self._dims) if dims is _default else dims
+
+        if attrs is _default:
+            attrs_ = None if self._attrs is None else self._attrs.copy()
+        else:
+            attrs_ = attrs
+
+        if data is _default:
+            return type(self)(dims_, copy.copy(self._data), attrs_)
+        else:
+            cls_ = type(self)
+            return cls_(dims_, data, attrs_)
+
     @property
     def _in_memory(self):
         return isinstance(
@@ -905,16 +924,17 @@ def _copy(
                 ndata = data_old
             else:
                 # don't share caching between copies
-                ndata = indexing.MemoryCachedArray(data_old.array)
+                # TODO: MemoryCachedArray doesn't match the array api:
+                ndata = indexing.MemoryCachedArray(data_old.array)  # type: ignore[assignment]
 
             if deep:
                 ndata = copy.deepcopy(ndata, memo)
 
         else:
             ndata = as_compatible_data(data)
-            if self.shape != ndata.shape:
+            if self.shape != ndata.shape:  # type: ignore[attr-defined]
                 raise ValueError(
-                    f"Data shape {ndata.shape} must match shape of object {self.shape}"
+                    f"Data shape {ndata.shape} must match shape of object {self.shape}"  # type: ignore[attr-defined]
                 )
 
         attrs = copy.deepcopy(self._attrs, memo) if deep else copy.copy(self._attrs)
@@ -1054,7 +1074,8 @@ def chunk(
                 # Using OuterIndexer is a pragmatic choice: dask does not yet handle
                 # different indexing types in an explicit way:
                 # https://github.com/dask/dask/issues/2883
-                ndata = indexing.ImplicitToExplicitIndexingAdapter(
+                # TODO: ImplicitToExplicitIndexingAdapter doesn't match the array api:
+                ndata = indexing.ImplicitToExplicitIndexingAdapter(  # type: ignore[assignment]
                     data_old, indexing.OuterIndexer
                 )
 
@@ -2608,6 +2629,9 @@ class IndexVariable(Variable):
 
     __slots__ = ()
 
+    # TODO: PandasIndexingAdapter doesn't match the array api:
+    _data: PandasIndexingAdapter  # type: ignore[assignment]
+
     def __init__(self, dims, data, attrs=None, encoding=None, fastpath=False):
         super().__init__(dims, data, attrs, encoding, fastpath)
         if self.ndim != 1:
@@ -2756,9 +2780,9 @@ def copy(self, deep: bool = True, data: T_DuckArray | ArrayLike | None = None):
 
         else:
             ndata = as_compatible_data(data)
-            if self.shape != ndata.shape:
+            if self.shape != ndata.shape:  # type: ignore[attr-defined]
                 raise ValueError(
-                    f"Data shape {ndata.shape} must match shape of object {self.shape}"
+                    f"Data shape {ndata.shape} must match shape of object {self.shape}"  # type: ignore[attr-defined]
                 )
 
         attrs = copy.deepcopy(self._attrs) if deep else copy.copy(self._attrs)
 
@@ -0,0 +1,122 @@
+from types import ModuleType
+from typing import Any
+
+import numpy as np
+
+from xarray.namedarray._typing import (
+    _arrayapi,
+    _DType,
+    _ScalarType,
+    _ShapeType,
+    _SupportsImag,
+    _SupportsReal,
+)
+from xarray.namedarray.core import NamedArray
+
+
+def _get_data_namespace(x: NamedArray[Any, Any]) -> ModuleType:
+    if isinstance(x._data, _arrayapi):
+        return x._data.__array_namespace__()
+    else:
+        return np
+
+
+def astype(
+    x: NamedArray[_ShapeType, Any], dtype: _DType, /, *, copy: bool = True
+) -> NamedArray[_ShapeType, _DType]:
+    """
+    Copies an array to a specified data type irrespective of Type Promotion Rules rules.
+
+    Parameters
+    ----------
+    x : NamedArray
+        Array to cast.
+    dtype : _DType
+        Desired data type.
+    copy : bool, optional
+        Specifies whether to copy an array when the specified dtype matches the data
+        type of the input array x.
+        If True, a newly allocated array must always be returned.
+        If False and the specified dtype matches the data type of the input array,
+        the input array must be returned; otherwise, a newly allocated array must be
+        returned. Default: True.
+
+    Returns
+    -------
+    out : NamedArray
+        An array having the specified data type. The returned array must have the
+        same shape as x.
+
+    Examples
+    --------
+    >>> narr = NamedArray(("x",), np.array([1.5, 2.5]))
+    >>> astype(narr, np.dtype(int)).data
+    array([1, 2])
+    """
+    if isinstance(x._data, _arrayapi):
+        xp = x._data.__array_namespace__()
+        return x._new(data=xp.astype(x, dtype, copy=copy))
+
+    # np.astype doesn't exist yet:
+    return x._new(data=x._data.astype(dtype, copy=copy))  # type: ignore[attr-defined]
+
+
+def imag(
+    x: NamedArray[_ShapeType, np.dtype[_SupportsImag[_ScalarType]]], /  # type: ignore[type-var]
+) -> NamedArray[_ShapeType, np.dtype[_ScalarType]]:
+    """
+    Returns the imaginary component of a complex number for each element x_i of the
+    input array x.
+
+    Parameters
+    ----------
+    x : NamedArray
+        Input array. Should have a complex floating-point data type.
+
+    Returns
+    -------
+    out : NamedArray
+        An array containing the element-wise results. The returned array must have a
+        floating-point data type with the same floating-point precision as x
+        (e.g., if x is complex64, the returned array must have the floating-point
+        data type float32).
+
+    Examples
+    --------
+    >>> narr = NamedArray(("x",), np.array([1 + 2j, 2 + 4j]))
+    >>> imag(narr).data
+    array([2., 4.])
+    """
+    xp = _get_data_namespace(x)
+    out = x._new(data=xp.imag(x._data))
+    return out
+
+
+def real(
+    x: NamedArray[_ShapeType, np.dtype[_SupportsReal[_ScalarType]]], /  # type: ignore[type-var]
+) -> NamedArray[_ShapeType, np.dtype[_ScalarType]]:
+    """
+    Returns the real component of a complex number for each element x_i of the
+    input array x.
+
+    Parameters
+    ----------
+    x : NamedArray
+        Input array. Should have a complex floating-point data type.
+
+    Returns
+    -------
+    out : NamedArray
+        An array containing the element-wise results. The returned array must have a
+        floating-point data type with the same floating-point precision as x
+        (e.g., if x is complex64, the returned array must have the floating-point
+        data type float32).
+
+    Examples
+    --------
+    >>> narr = NamedArray(("x",), np.array([1 + 2j, 2 + 4j]))
+    >>> real(narr).data
+    array([1., 2.])
+    """
+    xp = _get_data_namespace(x)
+    return x._new(data=xp.real(x._data))