ResultTensorOfTensorTA: use TA::Tensor as outer of "regular" companion array

The "regular" (non-nested) companion array used in ToT * T einsum
contractions had its outer tile set to the *inner* tile type of the
input ToT array. For TA-inner ToT that happens to work (TA::Tensor is a
valid outer tile too), but for btas-inner ToT it produced a
DistArray<btas::Tensor, ...> whose tile lacks the outer-tile API einsum
needs (permute/reshape/batch/...).

The outer tile must always be TA::Tensor; inner-tile types like
btas::Tensor are *inner-only*. Fix compatible_regular_distarray_type
to wrap the inner's numeric type in TA::Tensor.

Also bumps the TiledArray pin to the version that lifts the matching
TA-side restrictions (ValeevGroup/tiledarray#546).

Author: evaleev

SeQuant/core/eval/backends/tiledarray/result.hpp

@@ -317,8 +317,14 @@ class ResultTensorOfTensorTA final : public Result {
 
   using _inner_tensor_type = typename ArrayT::value_type::value_type;
 
+  // "Regular" (non-nested) companion array for ToT * T einsum. The OUTER tile
+  // type must be a TA::Tensor — inner tile types like btas::Tensor are only
+  // valid as the *innermost* tile (they don't support permute/reshape/batch
+  // and so can't drive einsum's outer kernel). So we wrap the inner's numeric
+  // type in TA::Tensor here, rather than re-using the inner tile type as the
+  // outer tile.
   using compatible_regular_distarray_type =
-      TA::DistArray<_inner_tensor_type, typename ArrayT::policy_type>;
+      TA::DistArray<TA::Tensor<numeric_type>, typename ArrayT::policy_type>;
 
   // Only @c that_type type is allowed for ToT * T computation
   using that_type = ResultTensorTA<compatible_regular_distarray_type>;

external/versions.cmake

@@ -5,7 +5,7 @@ set(SEQUANT_TRACKED_VGCMAKEKIT_TAG 256d9462bb765787f5acb69be154b26d6efba8b6)
 
 set(SEQUANT_TRACKED_RANGEV3_TAG 0.12.0)
 
-set(SEQUANT_TRACKED_TILEDARRAY_TAG 7f76cda06fd19658d376fd79b3d80dfe8e32c61e)
+set(SEQUANT_TRACKED_TILEDARRAY_TAG c782d06a0f796dabd33de4581fe59887f7bc668d)
 
 set(SEQUANT_TRACKED_LIBPERM_TAG cada3e185549896203cf4d0c7f26ea22c7de428f)