Changes mean reduction to use output data type as sum accumulation type

Mean in-place division now uses the real type for the denominator

dpctl/tensor/_statistical_functions.py

@@ -22,8 +22,6 @@
 import dpctl.tensor._tensor_impl as ti
 import dpctl.tensor._tensor_reductions_impl as tri
 
-from ._reduction import _default_reduction_dtype
-
 
 def _var_impl(x, axis, correction, keepdims):
     nd = x.ndim
@@ -233,22 +231,25 @@ def mean(x, axis=None, keepdims=False):
         host_tasks_list.append(ht_e1)
         s_e.append(r_e)
     else:
-        tmp_dt = _default_reduction_dtype(inp_dt, q)
         tmp = dpt.empty(
-            res_shape, dtype=tmp_dt, usm_type=res_usm_type, sycl_queue=q
+            arr2.shape, dtype=res_dt, usm_type=res_usm_type, sycl_queue=q
         )
-        ht_e_tmp, r_e = tri._sum_over_axis(
-            src=arr2, trailing_dims_to_reduce=sum_nd, dst=tmp, sycl_queue=q
+        ht_e_cpy, cpy_e = ti._copy_usm_ndarray_into_usm_ndarray(
+            src=arr2, dst=tmp, sycl_queue=q
         )
-        host_tasks_list.append(ht_e_tmp)
+        host_tasks_list.append(ht_e_cpy)
         res = dpt.empty(
             res_shape, dtype=res_dt, usm_type=res_usm_type, sycl_queue=q
         )
-        ht_e1, c_e = ti._copy_usm_ndarray_into_usm_ndarray(
-            src=tmp, dst=res, sycl_queue=q, depends=[r_e]
+        ht_e_red, r_e = tri._sum_over_axis(
+            src=tmp,
+            trailing_dims_to_reduce=sum_nd,
+            dst=res,
+            sycl_queue=q,
+            depends=[cpy_e],
         )
-        host_tasks_list.append(ht_e1)
-        s_e.append(c_e)
+        host_tasks_list.append(ht_e_red)
+        s_e.append(r_e)
 
     if keepdims:
         res_shape = res_shape + (1,) * sum_nd
@@ -257,8 +258,9 @@ def mean(x, axis=None, keepdims=False):
 
     res_shape = res.shape
     # in-place divide
+    den_dt = dpt.finfo(res_dt).dtype if res_dt.kind == "c" else res_dt
     nelems_arr = dpt.asarray(
-        nelems, dtype=res_dt, usm_type=res_usm_type, sycl_queue=q
+        nelems, dtype=den_dt, usm_type=res_usm_type, sycl_queue=q
     )
     if nelems_arr.shape != res_shape:
         nelems_arr = dpt.broadcast_to(nelems_arr, res_shape)