Repository: arviz-devs/arviz

Issue:
Inconsistent auto generated dimension names in `numpy_to_data_array`
**Describe the bug**
This was originally reported in pymc-devs/pymc#7572. The problem is that `arviz.data.numpy_to_data_array` does not yield consistent dimension names when there are `default_dims` and `dims` that also match some of these.

**To Reproduce**
```python
import numpy as np
from arviz.data import numpy_to_data_array

generated_dims = []
for dims in [None, ["chain", "draw"], ["chain", "draw", None]]:
    out_dims = numpy_to_data_array(
        np.empty((4, 500, 7)),
        var_name="a",
        dims=dims,
        default_dims=["chain", "draw"]
    ).dims
    generated_dims.append(out_dims)

assert all(dims == generated_dims[0] for dims in generated_dims)
```

Specifically:

```python
>>> generated_dims
[('chain', 'draw', 'a_dim_0'),
 ('chain', 'draw', 'a_dim_2'),
 ('chain', 'draw', 'a_dim_2')]
```

**Expected behavior**
The result that one gets when `dims = None` should be the same as when the chain and draw dimension are also specified.

**Additional context**
Current `arviz` main

Hints from issue comments:
@OriolAbril: closed by #2395 

Solution patch:
diff --git a/CHANGELOG.md b/CHANGELOG.md
index ccde055e09..6148977fc4 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,5 +1,10 @@
 # Change Log
 
+## Unreleased
+
+### Maintenance and fixes
+- Make `arviz.data.generate_dims_coords` handle `dims` and `default_dims` consistently ([2395](https://github.com/arviz-devs/arviz/pull/2395))
+
 ## v0.20.0 (2024 Sep 28)
 
 ### New features
diff --git a/arviz/data/base.py b/arviz/data/base.py
index 520077bce1..ef5850c062 100644
--- a/arviz/data/base.py
+++ b/arviz/data/base.py
@@ -201,10 +201,10 @@ def generate_dims_coords(
     for i, dim_len in enumerate(shape):
         idx = i + len([dim for dim in default_dims if dim in dims])
         if len(dims) < idx + 1:
-            dim_name = f"{var_name}_dim_{idx}"
+            dim_name = f"{var_name}_dim_{i}"
             dims.append(dim_name)
         elif dims[idx] is None:
-            dim_name = f"{var_name}_dim_{idx}"
+            dim_name = f"{var_name}_dim_{i}"
             dims[idx] = dim_name
         dim_name = dims[idx]
         if dim_name not in coords:


Test patch:
diff --git a/arviz/tests/base_tests/test_data.py b/arviz/tests/base_tests/test_data.py
index b751fd2931..0210cc5f34 100644
--- a/arviz/tests/base_tests/test_data.py
+++ b/arviz/tests/base_tests/test_data.py
@@ -32,7 +32,13 @@
     extract,
 )
 
-from ...data.base import dict_to_dataset, generate_dims_coords, infer_stan_dtypes, make_attrs
+from ...data.base import (
+    dict_to_dataset,
+    generate_dims_coords,
+    infer_stan_dtypes,
+    make_attrs,
+    numpy_to_data_array,
+)
 from ...data.datasets import LOCAL_DATASETS, REMOTE_DATASETS, RemoteFileMetadata
 from ..helpers import (  # pylint: disable=unused-import
     chains,
@@ -231,6 +237,17 @@ def test_dims_coords_skip_event_dims(shape):
     assert "z" not in coords
 
 
+@pytest.mark.parametrize("dims", [None, ["chain", "draw"], ["chain", "draw", None]])
+def test_numpy_to_data_array_with_dims(dims):
+    da = numpy_to_data_array(
+        np.empty((4, 500, 7)),
+        var_name="a",
+        dims=dims,
+        default_dims=["chain", "draw"],
+    )
+    assert list(da.dims) == ["chain", "draw", "a_dim_0"]
+
+
 def test_make_attrs():
     extra_attrs = {"key": "Value"}
     attrs = make_attrs(attrs=extra_attrs)