code: def test_logical_with_mesh_and_rules(self):
      devices = mesh_utils.create_device_mesh(
          (jax.local_device_count(), 1)
      )
      mesh = sharding.Mesh(devices, ("in", "out"))
      test = self
      rules = (("a", "in"), ("b", "out"))
  
      class Foo(nn.Module):
          @nn.compact
          def __call__(self, x):
              kernel_init = nn.with_logical_partitioning(
                  nn.initializers.ones_init(),
                  ("a", "b"),
                  mesh=mesh,
                  rules=rules,
              )
              kernel = self.param(
                  "kernel", kernel_init, (x.shape[-1], 2)
              )
              kernel_box = self.get_variable("params", "kernel")
              test.assertIsInstance(kernel_box, nn.Partitioned)
              test.assertEqual(kernel_box.names, ("a", "b"))
              return x @ kernel
  
      @jax.jit
      def create_state():
          module = Foo()
          variables = module.init(random.key(0), jnp.zeros((8, 4)))
          logical_spec = nn.get_partition_spec(variables)
          shardings = nn.logical_to_mesh_sharding(
              logical_spec, mesh, rules
          )
          variables = jax.lax.with_sharding_constraint(
              variables, shardings
          )
          return variables
  
      variables = create_state()
      self.assertEqual(variables["params"]["kernel"].names, ("a", "b"))
      self.assertIs(variables["params"]["kernel"].mesh, mesh)
      self.assertEqual(variables["params"]["kernel"].rules, rules)
  
imports: import jax
  import jax.numpy
  from absl.testing import absltest, parameterized
  from jax import random, sharding
  from jax.experimental import mesh_utils
  from flax import linen
  from flax.core import freeze, unfreeze
  from flax.linen import partitioning
label_desc: Use image node_id 17 for calling the PartitioningTest obj's underlying member method code with example usage: obj.test_logical_with_mesh_and_rules() and returns: variables, unknown