[TKW] Propagate dim index in thread shape analysis

iree/turbine/kernel/_support/indexing.py

@@ -430,3 +430,6 @@ def __repr__(self):
         if isinstance(self.size, int) and self.size <= 1:
             return f"{self.start}"
         return f"{self.start} : {self.size} : {self.stride}"
+
+    def __hash__(self):
+        return hash((self.start, self.size, self.stride))

iree/turbine/kernel/ops/wave_ops.py

@@ -1349,6 +1349,10 @@ def num_reduction_dims(self) -> int:
     def reduction_dim(self) -> IndexSymbol:
         return self.dim
 
+    @property
+    def elements_per_thread(self) -> int:
+        return 1
+
 
 # TODO: Add support for more shuffle types.
 @define_op("shuffle")

iree/turbine/kernel/wave/thread_shape_analysis.py

@@ -19,26 +19,32 @@
 
 
 @dataclass(order=True)
-class DimSize:
+class DimIndex:
     dim: IndexSymbol
-    size: int
+    seq: IndexSequence
+
+    @property
+    def size(self) -> IndexExpr:
+        return self.seq.size
 
     def __hash__(self):
-        return hash((self.dim, self.size))
+        return hash((self.dim, self.seq))
 
 
-def get_dim_sizes(indices: list[IndexSequence]):
-    dims = frozenset(
-        [DimSize(dim, subs_idxc(seq.size)) for dim, seq in indices.items()]
-    )
+def process_seq(seq):
+    return subs_idxc(seq)
+
+
+def get_dim_indices(indices: list[IndexSequence]):
+    dims = frozenset([DimIndex(dim, process_seq(seq)) for dim, seq in indices.items()])
     return dims
 
 
-def get_custom_dim_sizes(custom: CustomOp):
-    return get_dim_sizes(custom.index)
+def get_custom_dim_indices(custom: CustomOp):
+    return get_dim_indices(custom.index)
 
 
-def set_index_size(custom: CustomOp, target_dim_sizes: list[DimSize]):
+def set_custom_index(custom: CustomOp, target_dim_sizes: list[DimIndex]):
     for target in target_dim_sizes:
         if target.dim not in custom.index:
             raise NotImplementedError(
@@ -51,7 +57,7 @@ def set_index_size(custom: CustomOp, target_dim_sizes: list[DimSize]):
 # Anchor Indicies and Conflict resolution helpers
 #################################################################
 
-anchorOpTypes = (Read, Write, MMA, ReduceOp, Reshape)
+anchorOpTypes = (Read, Write, MMA, ReduceOp, Reshape, Permute)
 noHandleTypes = (Placeholder, Output, ExtractSlice, Allocate)
 legalSubtypes = (IterArg,)
 nonPropagatableTypes = anchorOpTypes + noHandleTypes
@@ -145,7 +151,7 @@ def determine_thread_shapes(trace: CapturedTrace):
     thread_shape in it's indexSequence.
 
     `thread_shapes` is used to store thread_size at every dimension that the op
-    cares about. We use a frozenset[DimSize] to represent it, where  DimSize
+    cares about. We use a frozenset[DimIndex] to represent it, where  DimIndex
     is essentially a pair<dimension: IndexSymbol, thread_size: int>. we are using
     frozen_set since we do not care about the order of dims for the shape/size
     propagation.
@@ -171,15 +177,17 @@ def determine_thread_shapes(trace: CapturedTrace):
 
     """
     anchor_ops = trace.walk(is_anchor_op)
-    thread_size_to_ops: dict[frozenset[DimSize], set[CustomOp]] = {}
+    thread_size_to_ops: dict[frozenset[DimIndex], set[CustomOp]] = {}
+
+    def update_dims(index: frozenset[DimIndex], ops: set[CustomOp]):
+        thread_size_to_ops[index] = thread_size_to_ops.get(index, set([])).union(ops)
+
     for anchor_op in anchor_ops:
         custom = get_custom(anchor_op)
-        index_sizes = get_custom_dim_sizes(custom)
+        index_sizes = get_custom_dim_indices(custom)
         if isinstance(custom, Read):
             fwd_slice = capture_forward_slice(custom.fx_node, propagatable_op)
-            thread_size_to_ops[index_sizes] = thread_size_to_ops.get(
-                index_sizes, set([])
-            ).union(fwd_slice)
+            update_dims(index_sizes, fwd_slice)
         elif isinstance(custom, ReduceOp):
             fwd_slice = capture_forward_slice(custom.fx_node, propagatable_op)
             bwd_slice = set()
@@ -188,18 +196,18 @@ def determine_thread_shapes(trace: CapturedTrace):
             ):
                 bwd_slice = capture_backward_slice(custom.init, propagatable_op)
             reduce_dims = frozenset(
-                [DimSize(dim, 1) for dim in custom.index.keys() if dim != custom.dim]
-            )
-            thread_size_to_ops[reduce_dims] = (
-                thread_size_to_ops.get(reduce_dims, set([]))
-                .union(fwd_slice)
-                .union(bwd_slice)
+                [
+                    DimIndex(dim, process_seq(IndexSequence(seq.start, 1, 1)))
+                    for dim, seq in custom.index.items()
+                    if dim != custom.dim
+                ]
             )
+
+            update_dims(reduce_dims, fwd_slice)
+            update_dims(reduce_dims, bwd_slice)
         elif isinstance(custom, Write):
             bwd_slice = capture_backward_slice(custom.fx_node, propagatable_op)
-            thread_size_to_ops[index_sizes] = thread_size_to_ops.get(
-                index_sizes, set([])
-            ).union(bwd_slice)
+            update_dims(index_sizes, bwd_slice)
         elif isinstance(custom, MMA):
             lhs_bwd_slice = set([custom.lhs])
             if propagatable_op(custom.lhs):
@@ -212,27 +220,19 @@ def determine_thread_shapes(trace: CapturedTrace):
                 acc_slice = acc_slice.union(
                     capture_backward_slice(custom.acc, propagatable_op)
                 )
-            acc_index = get_dim_sizes(custom.acc_index)
-            lhs_index = get_dim_sizes(custom.lhs_index)
-            rhs_index = get_dim_sizes(custom.rhs_index)
-            thread_size_to_ops[acc_index] = thread_size_to_ops.get(
-                acc_index, set([])
-            ).union(acc_slice)
-            thread_size_to_ops[lhs_index] = thread_size_to_ops.get(
-                lhs_index, set([])
-            ).union(lhs_bwd_slice)
-            thread_size_to_ops[rhs_index] = thread_size_to_ops.get(
-                rhs_index, set([])
-            ).union(rhs_bwd_slice)
+            acc_index = get_dim_indices(custom.acc_index)
+            lhs_index = get_dim_indices(custom.lhs_index)
+            rhs_index = get_dim_indices(custom.rhs_index)
+            update_dims(acc_index, acc_slice)
+            update_dims(lhs_index, lhs_bwd_slice)
+            update_dims(rhs_index, rhs_bwd_slice)
         elif isinstance(custom, Reshape):
             # The reshape op acts like a barrier for the MMA preventing
             # the mma from propagating the thread shapes of its reshaped
             # operands backwards.
-            bwd_size = get_dim_sizes(custom.args.index)
+            bwd_size = get_dim_indices(custom.args.index)
             bwd_slice = capture_backward_slice(custom.args, propagatable_op)
-            thread_size_to_ops[bwd_size] = thread_size_to_ops.get(
-                bwd_size, set([])
-            ).union(bwd_slice)
+            update_dims(bwd_size, bwd_slice)
 
     # Go through each index-size buckets, and apply the index-size to ops in the bucket.
     cummulative_set = set()
@@ -241,10 +241,17 @@ def determine_thread_shapes(trace: CapturedTrace):
         if not cummulative_set.isdisjoint(target_ops):
             conflicted_ops = cummulative_set.intersection(target_ops)
             if handle_conflicts(conflicted_ops) == False:
-                raise NotImplementedError("Failed to handle conflicting thread shape.")
+                offenders = tuple(
+                    (ops, dim)
+                    for dim, ops in thread_size_to_ops.items()
+                    if not conflicted_ops.isdisjoint(ops)
+                )
+                raise NotImplementedError(
+                    f"Failed to handle conflicting thread shape: {conflicted_ops}, {offenders}"
+                )
             target_ops = target_ops.difference(conflicted_ops)
         cummulative_set = cummulative_set.union(target_ops)
         # Set target ops's indexSize to be the determined from analysis.
         for user in target_ops:
             custom_user = get_custom(user)
-            set_index_size(custom_user, target_index_size)
+            set_custom_index(custom_user, target_index_size)