Support randn_like() for NT

aten/src/ATen/native/native_functions.yaml

@@ -4439,7 +4439,7 @@
   dispatch:
     # NB: Although this composite mutates on the inside, it is
     # non-differentiable so NonFunctional doesn't apply
-    CompositeExplicitAutograd: randn_like
+    CompositeExplicitAutograd, CompositeImplicitAutogradNestedTensor: randn_like
   autogen: randn_like.out
 
 - func: randperm(int n, *, ScalarType? dtype=long, Layout? layout=None, Device? device=None, bool? pin_memory=None) -> Tensor
@@ -9646,6 +9646,7 @@
     MPS: normal_mps_
     Meta: normal_meta_
     SparseCsrCPU, SparseCsrCUDA: normal_sparse_csr_
+    NestedTensorCPU, NestedTensorCUDA: normal_nested_
   autogen: normal.out
 
 # Only used by the functionalization pass.

aten/src/ATen/native/nested/NestedTensorMath.cpp

@@ -970,5 +970,11 @@ Tensor reshape_as_nested(const Tensor& self, const Tensor& other) {
   return self.reshape(sizes);
 }
 
+Tensor& normal_nested_(Tensor& self, double mean, double std, c10::optional<Generator> gen) {
+  const auto& self_buf = get_nested_tensor_impl(self)->get_buffer();
+  self_buf.normal_(mean, std, gen);
+  return self;
+}
+
 } // namespace native
 } // namespace at

docs/source/nested.rst

@@ -213,4 +213,5 @@ NestedTensor and any constraints they have.
    :func:`torch.transpose`; "Supports transposing of all dims except ``dim=0``."
    :func:`torch.Tensor.view`; "Rules for the new shape are similar to that of ``reshape``."
    :func:`torch.empty_like`; "Behavior is analogous to that of regular tensors; returns a new empty nested tensor (i.e. with uninitialized values) matching the nested structure of the input."
+   :func:`torch.randn_like`; "Behavior is analogous to that of regular tensors; returns a new nested tensor with values randomly initialized according to a standard normal distribution matching the nested structure of the input."
    :func:`torch.zeros_like`; "Behavior is analogous to that of regular tensors; returns a new nested tensor with all zero values matching the nested structure of the input."

test/test_nestedtensor.py

@@ -499,13 +499,15 @@ def test_zero_(self):
             t.fill_(0.)
             self.assertEqual(nt_ub, t)
 
-    @parametrize("func", [torch.ones_like, torch.zeros_like],
+    @parametrize("func", [torch.ones_like, torch.zeros_like, torch.randn_like],
                  name_fn=lambda f: f.__name__)
     def test_like_functions(self, func):
         ntensors = 4
         nt = random_nt(torch.device('cpu'), torch.float32, ntensors, (4, 4))
+        torch.manual_seed(1)
         nt_like = func(nt)
 
+        torch.manual_seed(1)
         for nt_ub in nt_like.unbind():
             t_like = func(nt_ub)
             self.assertEqual(nt_ub, t_like)