Add regression test mcmc seeding with Generators

Co-authored-by: ricardoV94 <[email protected]>

tests/sampling/test_parallel.py

@@ -1,4 +1,4 @@
-#   Copyright 2024 The PyMC Developers
+#   Copyright 2025 The PyMC Developers
 #
 #   Licensed under the Apache License, Version 2.0 (the "License");
 #   you may not use this file except in compliance with the License.
@@ -228,3 +228,23 @@ def logp(x, mu):
         with warnings.catch_warnings():
             warnings.filterwarnings("ignore", ".*number of samples.*", UserWarning)
             pm.sample(draws=10, tune=10, step=pm.Metropolis(), cores=2, mp_ctx="spawn")
+
+
+@pytest.mark.parametrize("cores", (1, 2))
+def test_sampling_with_random_generator_matches(cores):
+    # Regression test for https://github.com/pymc-devs/pymc/issues/7612
+    kwargs = {
+        "chains": 2,
+        "cores": cores,
+        "tune": 10,
+        "draws": 10,
+        "compute_convergence_checks": False,
+        "progress_bar": False,
+    }
+    with pm.Model() as m:
+        x = pm.Normal("x")
+
+        post1 = pm.sample(random_seed=np.random.default_rng(42), **kwargs).posterior
+        post2 = pm.sample(random_seed=np.random.default_rng(42), **kwargs).posterior
+
+    assert post1.equals(post2), (post1["x"].mean().item(), post2["x"].mean().item())