1 //===- ElementwiseOpFusion.cpp - Implementation of linalg Fusion ---------===///
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8 //
9 // This file implements the linalg dialect Fusion on tensors operations pass.
10 //
11 //===----------------------------------------------------------------------===//
12 #include "PassDetail.h"
13 #include "mlir/Dialect/Affine/IR/AffineOps.h"
14 #include "mlir/Dialect/Linalg/IR/LinalgOps.h"
15 #include "mlir/Dialect/Linalg/IR/LinalgTypes.h"
16 #include "mlir/Dialect/Linalg/Passes.h"
17 #include "mlir/Dialect/Linalg/Transforms/Transforms.h"
18 #include "mlir/Dialect/Linalg/Utils/Utils.h"
19 #include "mlir/IR/AffineExpr.h"
20 #include "mlir/IR/AffineMap.h"
21 #include "mlir/IR/Matchers.h"
22 #include "mlir/IR/PatternMatch.h"
23 #include "mlir/Support/LLVM.h"
24 #include "mlir/Transforms/GreedyPatternRewriteDriver.h"
25 
26 using namespace mlir;
27 using namespace mlir::linalg;
28 
29 /// Append to `fusedOpIndexingMapAttrs` the indexing maps for the operands of
30 /// the `producer` to use in the fused operation given the indexing map of the
31 /// result of the producer in the consumer.
32 static AffineMap getIndexingMapOfProducerOperandsInCoordinatesOfFusedOp(
33     OpOperand *producerOpOperand, AffineMap producerResultIndexMap,
34     AffineMap fusedConsumerArgIndexMap) {
35   // The indexing map in the consumer op (fusedConsumerArgIndexMap) is a map
36   // from consumer loop -> consumer arg tensor index/producer result tensor
37   // index. The fused loop is same as the consumer loop. For each producer arg
38   // the indexing map to be computed is a map from consumer loop -> producer
39   // arg tensor index.
40   // producerResultIndexMap is a map from producer loop -> tensor index.
41   // Compute the inverse to get map from tensor index -> producer loop.
42   // The inverse is a map from producer result tensor index -> producer loop.
43   AffineMap invProducerResultIndexMap =
44       inversePermutation(producerResultIndexMap);
45   assert(invProducerResultIndexMap &&
46          "expected producer result indexig map to be invertible");
47 
48   LinalgOp producer = cast<LinalgOp>(producerOpOperand->getOwner());
49   // argMap is a map from producer loop -> producer arg tensor index.
50   AffineMap argMap = producer.getTiedIndexingMap(producerOpOperand);
51 
52   // Compose argMap with invProducerResultIndexMap to get a map from
53   // producer result tensor index -> producer arg tensor index.
54   AffineMap t1 = argMap.compose(invProducerResultIndexMap);
55 
56   // Compose t1 with fusedConsumerArgIndexMap gives an indexing map from
57   // consumer loop/ fused loop -> producer arg tensor index.
58   return t1.compose(fusedConsumerArgIndexMap);
59 }
60 
61 /// Conditions for elementwise fusion of generic operations.
62 static bool areElementwiseOpsFusable(GenericOp producer, GenericOp consumer,
63                                      OpOperand *consumerOpOperand) {
64   // Producer and consumer must have tensor semantics.
65   if (!producer.hasTensorSemantics() || !consumer.hasTensorSemantics())
66     return false;
67 
68   // Verify that
69   // - the producer has all "parallel" iterator type.
70   if (producer.getNumParallelLoops() != producer.getNumLoops())
71     return false;
72 
73   // Only allow fusing the producer of an input operand for now.
74   // TODO: allow fusing the producer of an output operand.
75   if (!consumer.isInputTensor(consumerOpOperand))
76     return false;
77 
78   // Get the consumer index map. The number of results of the consumer index
79   // map must match the number of loops of the producer.
80   AffineMap consumerIndexMap = consumer.getTiedIndexingMap(consumerOpOperand);
81   if (consumerIndexMap.getNumResults() != producer.getNumLoops())
82     return false;
83 
84   // Currently support only operations with single result.
85   if (producer.getNumOutputs() != 1)
86     return false;
87 
88   // Finally the index_map for the result must be invertible. For now just
89   // verify it is a permutation.
90   AffineMap producerResultIndexMap =
91       producer.getTiedIndexingMap(producer.getOutputOperand(0));
92   if (!producerResultIndexMap.isPermutation())
93     return false;
94 
95   // Ensure that the fusion does not remove size information required to
96   // get the loop bounds. For non-reduction generics, this is trivially the
97   // case due to the output operand. For reductions, we need to check that after
98   // the fusion, each loop dimension has at least one input that defines it.
99   if ((consumer.getNumReductionLoops())) {
100     llvm::BitVector coveredDims(consumer.getNumLoops(), false);
101 
102     auto addToCoveredDims = [&](AffineMap map) {
103       for (auto result : map.getResults())
104         if (auto dimExpr = result.dyn_cast<AffineDimExpr>())
105           coveredDims[dimExpr.getPosition()] = true;
106     };
107 
108     for (auto pair :
109          llvm::zip(consumer->getOperands(), consumer.getIndexingMaps())) {
110       Value operand = std::get<0>(pair);
111       if (operand == consumerOpOperand->get())
112         continue;
113       AffineMap operandMap = std::get<1>(pair);
114       addToCoveredDims(operandMap);
115     }
116 
117     for (OpOperand *operand : producer.getInputOperands()) {
118       AffineMap newIndexingMap =
119           getIndexingMapOfProducerOperandsInCoordinatesOfFusedOp(
120               operand, producerResultIndexMap, consumerIndexMap);
121       addToCoveredDims(newIndexingMap);
122     }
123     if (!coveredDims.all())
124       return false;
125   }
126 
127   return true;
128 }
129 
130 /// Generate the region of the fused tensor operation. The region of the fused
131 /// op must be empty.
132 static void
133 generateFusedElementwiseOpRegion(PatternRewriter &rewriter, GenericOp fusedOp,
134                                  AffineMap consumerToProducerLoopsMap,
135                                  OpOperand *consumerOpOperand,
136                                  unsigned nloops) {
137   auto producer = cast<GenericOp>(consumerOpOperand->get().getDefiningOp());
138   auto consumer = cast<GenericOp>(consumerOpOperand->getOwner());
139   // Build the region of the fused op.
140   Block &producerBlock = producer->getRegion(0).front();
141   Block &consumerBlock = consumer->getRegion(0).front();
142   Block *fusedBlock = new Block();
143   fusedOp.region().push_back(fusedBlock);
144   BlockAndValueMapping mapper;
145   OpBuilder::InsertionGuard guard(rewriter);
146   rewriter.setInsertionPointToStart(fusedBlock);
147 
148   // 2. Add an index operation for every fused loop dimension and use the
149   // `consumerToProducerLoopsMap` to map the producer indices.
150   if (producer.hasIndexSemantics()) {
151     // Add an index operation for every fused loop dimension.
152     unsigned numFusedOpLoops =
153         std::max(producer.getNumLoops(), consumer.getNumLoops());
154     SmallVector<Value> fusedIndices;
155     fusedIndices.reserve(numFusedOpLoops);
156     llvm::transform(llvm::seq<uint64_t>(0, numFusedOpLoops),
157                     std::back_inserter(fusedIndices), [&](uint64_t dim) {
158                       return rewriter.create<IndexOp>(producer.getLoc(), dim);
159                     });
160     for (IndexOp indexOp :
161          llvm::make_early_inc_range(producerBlock.getOps<IndexOp>())) {
162       Value newIndex = rewriter.create<mlir::AffineApplyOp>(
163           producer.getLoc(),
164           consumerToProducerLoopsMap.getSubMap(indexOp.dim()), fusedIndices);
165       mapper.map(indexOp.getResult(), newIndex);
166     }
167   }
168   // TODO: allow fusing the producer of an output operand.
169   assert(consumer.isInputTensor(consumerOpOperand) &&
170          "expected producer of input operand");
171   // 3. Consumer input operands up to consumerIdx (exclusive).
172   for (BlockArgument bbArg : consumerBlock.getArguments().take_front(
173            consumerOpOperand->getOperandNumber())) // input assumption.
174     mapper.map(bbArg, fusedBlock->addArgument(bbArg.getType()));
175 
176   // Replacing consumerIdx requires getting the cloned, yielded, value from
177   // the (cloned) producer block. This happens in step 9.
178 
179   // 4. Splice in producer's input operands.
180   for (BlockArgument bbArg :
181        producerBlock.getArguments().take_front(producer.getNumInputs()))
182     mapper.map(bbArg, fusedBlock->addArgument(bbArg.getType()));
183 
184   // 4.b. Producer output operand/map that is fused needs to be mapped to the
185   // producer bbArg if it is an "initTensor" (i.e. its value is actually read).
186   assert(producer->getNumResults() == 1 && "expected single result producer");
187   if (producer.isInitTensor(producer.getOutputOperand(0))) {
188     BlockArgument bbArg = producerBlock.getArguments()
189                               .drop_front(producer.getNumInputs())
190                               // TODO: bbArg index of
191                               .front();
192     mapper.map(bbArg, fusedBlock->addArgument(bbArg.getType()));
193   }
194   // 5. Remaining consumer's input operands (drop past index `consumerIdx`).
195   for (BlockArgument bbArg :
196        consumerBlock.getArguments()
197            .take_front(consumer.getNumInputs())
198            .drop_front(consumerOpOperand->getOperandNumber() + 1))
199     mapper.map(bbArg, fusedBlock->addArgument(bbArg.getType()));
200   // 6. All of consumer's output operands.
201   for (BlockArgument bbArg :
202        consumerBlock.getArguments().take_back(consumer.getNumOutputs()))
203     mapper.map(bbArg, fusedBlock->addArgument(bbArg.getType()));
204   // 7. All of producer's output operands except the one fused.
205   // TODO: allow fusion of multi-result producers.
206   assert(producer->getNumResults() == 1 && "expected single result producer");
207 
208   // 8. Clone all producer operations except for the yield and index operations
209   // to the fused operation.
210   for (auto &op : producerBlock.without_terminator()) {
211     if (!isa<IndexOp>(op))
212       rewriter.clone(op, mapper);
213   }
214   // 9. Now we can map the consumerBlock's `consumerIdx` block argument. Just
215   // forward the yield operand.
216   auto yieldOp = cast<linalg::YieldOp>(producerBlock.getTerminator());
217   // TODO: allow fusion of multi-result producers.
218   assert(producer->getNumResults() == 1 && "expected single result producer");
219   unsigned producerResultNumber = 0;
220   Value replacement =
221       mapper.lookupOrDefault(yieldOp.getOperand(producerResultNumber));
222   // Sanity checks, if replacement is not already in the mapper then it must be
223   // produced outside.
224   if (replacement == yieldOp.getOperand(producerResultNumber)) {
225     if (auto bb = replacement.dyn_cast<BlockArgument>())
226       assert(bb.getOwner() != &producerBlock &&
227              "yielded block argument must have been mapped");
228     else
229       assert(!producer->isAncestor(replacement.getDefiningOp()) &&
230              "yielded value must have been mapped");
231   }
232   mapper.map(consumerBlock.getArgument(consumerOpOperand->getOperandNumber()),
233              replacement);
234   // 10. Clone operations from the consumer to the fused op.
235   for (auto &op : consumerBlock.getOperations())
236     rewriter.clone(op, mapper);
237 
238   // Sanity checks.
239   assert(fusedBlock->getNumArguments() == fusedOp.getNumOperands() &&
240          "Ill-formed GenericOp region");
241 }
242 
243 static Optional<SmallVector<Value>>
244 fuseElementwiseOpsImpl(GenericOp producer, OpOperand *consumerOpOperand,
245                        const ControlElementwiseOpsFusionFn &controlFn,
246                        PatternRewriter &rewriter) {
247   auto consumer = cast<GenericOp>(consumerOpOperand->getOwner());
248   if (!areElementwiseOpsFusable(producer, consumer, consumerOpOperand) ||
249       !controlFn(producer->getResult(0), *consumerOpOperand))
250     return llvm::None;
251 
252   // TODO: allow fusing the producer of an output operand.
253   assert(consumer.isInputTensor(consumerOpOperand) &&
254          "expected producer of input operand");
255 
256   // Compute the fused operands list and indexing maps.
257   SmallVector<Value> fusedOperands;
258   SmallVector<AffineMap> fusedIndexMaps;
259   fusedOperands.reserve(producer->getNumOperands() +
260                         consumer->getNumOperands());
261   fusedIndexMaps.reserve(producer->getNumOperands() +
262                          consumer->getNumOperands());
263   // In the following, numbering matches that of `generateFusedTensorOpRegion`.
264   // 3. Consumer input operands/maps up to consumerIdx (exclusive).
265   SmallVector<OpOperand *> consumerInputs = consumer.getInputOperands();
266   SmallVector<OpOperand *>::iterator it =
267       llvm::find(consumerInputs, consumerOpOperand);
268   assert(it != consumerInputs.end() && "expected to find the consumer operand");
269   for (OpOperand *opOperand : llvm::make_range(consumerInputs.begin(), it)) {
270     fusedOperands.push_back(opOperand->get());
271     fusedIndexMaps.push_back(consumer.getTiedIndexingMap(opOperand));
272   }
273   // 4. Splice in producer's input operands/maps.
274   assert(producer->getNumResults() == 1 && "expected single result producer");
275   AffineMap producerResultIndexMap =
276       producer.getTiedIndexingMap(producer.getOutputOperand(0));
277   for (OpOperand *opOperand : producer.getInputOperands()) {
278     fusedOperands.push_back(opOperand->get());
279     // Compute indexing maps for the producer args in the fused operation.
280     AffineMap map = getIndexingMapOfProducerOperandsInCoordinatesOfFusedOp(
281         opOperand, producerResultIndexMap,
282         consumer.getTiedIndexingMap(consumerOpOperand));
283     fusedIndexMaps.push_back(map);
284   }
285   // 4.b. Producer output operand/map that is fused needs to be passed if it is
286   // an "initTensor" (i.e. its value is actually read).
287   assert(producer->getNumResults() == 1 && "expected single result producer");
288   if (producer.isInitTensor(producer.getOutputOperand(0))) {
289     fusedOperands.push_back(producer.getOutputOperand(0)->get());
290     // Compute indexing maps for the producer args in the fused operation.
291     AffineMap map = getIndexingMapOfProducerOperandsInCoordinatesOfFusedOp(
292         producer.getOutputOperand(0), producerResultIndexMap,
293         consumer.getTiedIndexingMap(consumerOpOperand));
294     fusedIndexMaps.push_back(map);
295   }
296   // 5. Remaining consumer's input operands/maps (drop past index
297   // `consumerIdx`).
298   for (OpOperand *opOperand :
299        llvm::make_range(std::next(it), consumerInputs.end())) {
300     fusedOperands.push_back(opOperand->get());
301     fusedIndexMaps.push_back(consumer.getTiedIndexingMap(opOperand));
302   }
303   // 6. All of consumer's output operands (skip operands: added by the builder).
304   for (OpOperand *opOperand : consumer.getOutputOperands())
305     fusedIndexMaps.push_back(consumer.getTiedIndexingMap(opOperand));
306   // 7. All of producer's output operands/maps except the one fused.
307   // TODO: allow fusion of multi-result producers.
308   assert(producer->getNumResults() == 1 && "expected single result producer");
309 
310   // Generate the fused op.
311   SmallVector<Value> consumerOutputs = consumer.getOutputOperands();
312   auto fusedOp = rewriter.create<GenericOp>(
313       consumer.getLoc(), consumer->getResultTypes(),
314       /*inputs=*/fusedOperands,
315       // TODO: handle outputs.
316       consumerOutputs, rewriter.getAffineMapArrayAttr(fusedIndexMaps),
317       consumer.iterator_types(),
318       /*doc=*/nullptr,
319       /*library_call=*/nullptr);
320 
321   // Construct an AffineMap from consumer loops to producer loops.
322   // consumer loop -> tensor index
323   AffineMap consumerResultIndexMap =
324       consumer.getTiedIndexingMap(consumerOpOperand);
325   // tensor index -> producer loop
326   AffineMap invProducerResultIndexMap =
327       inversePermutation(producerResultIndexMap);
328   assert(invProducerResultIndexMap &&
329          "expected producer result indexig map to be invertible");
330   // consumer loop -> producer loop
331   AffineMap consumerToProducerLoopsMap =
332       invProducerResultIndexMap.compose(consumerResultIndexMap);
333 
334   generateFusedElementwiseOpRegion(rewriter, fusedOp,
335                                    consumerToProducerLoopsMap,
336                                    consumerOpOperand, consumer.getNumLoops());
337   return SmallVector<Value>(fusedOp->getResults());
338 }
339 
340 /// Linearize the expressions in `sourceMap` based on the `reassociationMaps`
341 /// provided, given the shape of the source tensor that corresponds to the
342 /// `sourceMap`. Note that this implicitly assumes that the tensors dimensions
343 /// are "row-major" ordered logically.
344 ///
345 /// For example:
346 ///
347 /// %0 = op ... : tensor<?x?x4x5xf32>
348 /// with output index_map `affine_map<(d0, d1, d2, d3) -> (d0, d1, d2, d3)>`
349 ///
350 /// and reshape:
351 /// %1 = tensor.collapse_shape %0 [[0], [0, 1, 2]] :
352 ///        tensor<?x?x4x5xf32> into tensor<?x?xf32>
353 ///
354 /// would be rewritten into:
355 /// %0 = op ... : tensor<?x?x4x5xf32>
356 /// with output index_map
357 ///   `affine_map<(d0, d1, d2, d3) -> (d0, d1 * 20 + d2 * 5 + d3)>`
358 template <typename TensorReshapeOp>
359 static AffineMap linearizeCollapsedDims(AffineMap sourceMap,
360                                         TensorReshapeOp reshapeOp) {
361   constexpr bool isExpanding =
362       std::is_same<TensorReshapeOp, tensor::ExpandShapeOp>::value;
363   ArrayRef<int64_t> sourceShape =
364       (isExpanding ? reshapeOp.getResultType().getShape()
365                    : reshapeOp.getSrcType().getShape());
366   SmallVector<AffineExpr> resultExprs;
367   ArrayRef<AffineExpr> sourceExprs = sourceMap.getResults();
368   MLIRContext *context = sourceMap.getContext();
369 
370   // Compute the result exprs based on the reassociation maps.
371   for (auto &indices : reshapeOp.getReassociationIndices()) {
372     // Assume that they are in-order and contiguous (already checked in
373     // verifier).
374     assert(!indices.empty());
375     SmallVector<int64_t> sizes;
376     SmallVector<AffineExpr> dimExprs;
377     for (auto en : llvm::zip(sourceShape.slice(indices[0], indices.size()),
378                              sourceExprs.slice(indices[0], indices.size()))) {
379       if (std::get<0>(en) == 1)
380         continue;
381       sizes.push_back(std::get<0>(en));
382       dimExprs.push_back(std::get<1>(en));
383     }
384     AffineExpr linearizedExpr =
385         makeCanonicalStridedLayoutExpr(sizes, dimExprs, context);
386     resultExprs.push_back(linearizedExpr);
387   }
388   // The new affine map cannot drop unused dimension but some new symbols may
389   // have been added. Create a map with at least as many dimensions/symbols as
390   // the original affine map.
391   int64_t maxDim = -1;
392   int64_t maxSym = -1;
393   getMaxDimAndSymbol<SmallVector<AffineExpr>>({resultExprs}, maxDim, maxSym);
394   unsigned numDims = std::max(unsigned(maxDim + 1), sourceMap.getNumDims());
395   unsigned numSyms = std::max(unsigned(maxSym + 1), sourceMap.getNumSymbols());
396   return AffineMap::get(numDims, numSyms, resultExprs, context);
397 }
398 
399 // tensor::ExpandShapeOp is fusable with its consumer (i.e. reshape as a
400 // producer). Fusing when operand has higher rank will require use of mods and
401 // divs in the indexing maps of the fused op which would make it non-invertible.
402 static bool isTensorReshapeOpFoldableByLinearization(
403     tensor::ExpandShapeOp expandOp, AffineMap useIndexMap, bool asProducer) {
404   if (!asProducer)
405     return false;
406   return useIndexMap.isPermutation();
407 }
408 
409 // tensor::CollapseShapeOp is fusable with its producer (i.e. reshape as a
410 // consumer).
411 static bool
412 isTensorReshapeOpFoldableByLinearization(tensor::CollapseShapeOp collapseOp,
413                                          AffineMap useIndexMap,
414                                          bool asProducer) {
415   if (asProducer)
416     return false;
417   return useIndexMap.isPermutation();
418 }
419 
420 /// Check if the reshape operation is only expansion into/collapsing of
421 /// unit-dimension.
422 template <typename TensorReshapeOp>
423 static bool isUnitDimExpansionOnly(TensorReshapeOp reshapeOp) {
424   constexpr bool isExpanding =
425       std::is_same<TensorReshapeOp, tensor::ExpandShapeOp>::value;
426   ArrayRef<int64_t> expandedShape =
427       (isExpanding ? reshapeOp.getResultType().getShape()
428                    : reshapeOp.getSrcType().getShape());
429   for (auto &indices : reshapeOp.getReassociationIndices()) {
430     unsigned numUnitDims = 0;
431     for (int64_t position : indices)
432       if (expandedShape[position] == 1)
433         numUnitDims++;
434     if (numUnitDims != indices.size() - 1)
435       return false;
436   }
437   return true;
438 }
439 
440 /// Conditions for folding a generic operation with a reshape op by expanding
441 /// the iteration space dimensionality for tensor operations. These are
442 /// preconditions assumed by `foldReshapeByDimExpansion` which implements the
443 /// following fusion pattern.
444 ///
445 ///  Consider
446 ///
447 ///  %c = linalg.generic ins(%a, %b : memref<?x?x?xf32>, memref<?x?xf32>)
448 ///         indexing_maps = [affine_map<(d0, d1, d2) -> (d1, d0, d2)>,
449 ///                          affine_map<(d0, d1, d2) -> (d1, d2)>,
450 ///                          affine_map<(d0, d1, d2) -> (d0, d2, d1)>]
451 ///  %d = tensor.expand_shape %c [[0, 1], [2], [3, 4, 5]]
452 ///       : tensor<?x?x?xf32> into tensor<?x?x?x?x?x?xf32>
453 ///
454 ///  The reshape can be folded into the `genericOp` if its loop dimensionality
455 ///  is increased to match the result (operand) of the tensor_expand_shape.
456 ///  The indexing_map of the fused tensor in the `genericOp` and the
457 ///  reassociation map helps compute the indexing maps of the modified op.
458 ///  For the above example, based on the reassociation map it
459 ///  can be concluded that
460 ///
461 ///  - The loop used to access the first dimension of the fused tensor is split
462 ///    into two.
463 ///  - The loop used to access the second dimension of the fused tensor is kept
464 ///    as is.
465 ///  - The loop used to access the third dimension of the fused tensor is split
466 ///    into three.
467 ///
468 ///  i.e. (e0, e1, e2, e3, e4) is the domain of the indexing map of the modified
469 ///  op, then
470 ///
471 ///   d0 -> e0, e1
472 ///   d1 -> e2, e3, e4
473 ///   d2 -> e5
474 ///
475 ///  substituting this, the generic op can be rewritten as
476 ///
477 ///  %d = linalg.generic ins(%0, %1 : )
478 ///        indexing_maps =
479 ///         [affine_map<(e0, e1, e2, e3, e4, e5) -> (e2, e3, e4, e0, e1, e5)>,
480 ///          affine_map<(e0, e1, e2, e3, e4, e5) -> (e2, e3, e4, e5)>,
481 ///          affine_map<(e0, e1, e2, e3, e4, e5) -> (e0, e1, e5, e2, e3, e4)>]
482 ///
483 ///  Since operands to the linalg generic are now 5D, reshapes can be introduced
484 ///  to make it consistent
485 ///
486 ///  %0 = tensor.expand_shape %a [[0, 1, 2], [3, 4], [5]]
487 ///       : tensor<?x?x?xf32> into tensor<?x?x?x?x?x?xf32>
488 ///  %1 = tensor.expand_shape %b [[0, 1, 2], [3]]
489 ///       : tensor<?x?x?xf32> into tensor<?x?x?x?xf32>
490 ///
491 ///  The added reshapes are again expanding patterns, so they will get fused
492 ///  with its producers if possible.
493 static bool isFusableWithReshapeByDimExpansion(GenericOp genericOp,
494                                                OpOperand *fusableOpOperand) {
495   // Is fusable only if:
496   // - All the indexing maps for operands and results are projected
497   //   permutations.
498   // - The fused tensor is not a scalar.
499   // - All the loops are parallel loops.
500   return genericOp.hasTensorSemantics() &&
501          llvm::all_of(genericOp.indexing_maps().getValue(),
502                       [](Attribute attr) {
503                         return attr.cast<AffineMapAttr>()
504                             .getValue()
505                             .isProjectedPermutation();
506                       }) &&
507          genericOp.getTiedIndexingMap(fusableOpOperand).getNumResults() > 0 &&
508          llvm::all_of(genericOp.iterator_types(), [](Attribute attr) {
509            return attr.cast<StringAttr>().getValue() ==
510                   getParallelIteratorTypeName();
511          });
512 }
513 
514 namespace {
515 /// Information needed to expand a generic operation to fold the reshape with
516 /// it.
517 class ExpansionInfo {
518 public:
519   // Computes the mapping from original dimensions of the op to the dimensions
520   // of the expanded op given the `indexingMap` of the fused operand/result of
521   // the generic op, the `reassocationMaps` of the reshape op and the shape of
522   // the expanded op.
523   LogicalResult compute(LinalgOp linalgOp, OpOperand *fusableOpOperand,
524                         ArrayRef<AffineMap> reassociationMaps,
525                         ArrayRef<int64_t> expandedShape,
526                         PatternRewriter &rewriter);
527   unsigned getOrigOpNumDims() const { return reassociation.size(); }
528   unsigned getExpandedOpNumDims() const { return expandedOpNumDims; }
529   ReassociationIndicesRef getExpandedDims(unsigned i) const {
530     return reassociation[i];
531   }
532   ArrayRef<int64_t> getExpandedShapeOfDim(unsigned i) const {
533     return expandedShapeMap[i];
534   }
535 
536 private:
537   /// Reassociation from the dimensions in the original operation to the
538   /// dimension of the expanded operation.
539   SmallVector<ReassociationIndices> reassociation;
540   /// Mapping from extent of loops in the original operation, to the extent of
541   /// loops in the expanded operation.
542   SmallVector<SmallVector<int64_t>> expandedShapeMap;
543   unsigned expandedOpNumDims;
544 };
545 } // namespace
546 
547 LogicalResult ExpansionInfo::compute(LinalgOp linalgOp,
548                                      OpOperand *fusableOpOperand,
549                                      ArrayRef<AffineMap> reassociationMaps,
550                                      ArrayRef<int64_t> expandedShape,
551                                      PatternRewriter &rewriter) {
552   if (reassociationMaps.empty())
553     return failure();
554   AffineMap fusedIndexMap = linalgOp.getTiedIndexingMap(fusableOpOperand);
555 
556   Optional<SmallVector<int64_t, 4>> originalLoopRange =
557       linalgOp.getStaticLoopRanges();
558   if (!originalLoopRange)
559     return rewriter.notifyMatchFailure(linalgOp, "unable to find loop range");
560 
561   reassociation.clear();
562   expandedShapeMap.clear();
563   // Compute the number of dimension in the expanded op that correspond to each
564   // dimension of the original op.
565   SmallVector<unsigned> numExpandedDims(fusedIndexMap.getNumDims(), 1);
566   expandedShapeMap.resize(fusedIndexMap.getNumDims());
567   for (auto resultExpr : llvm::enumerate(fusedIndexMap.getResults())) {
568     unsigned pos = resultExpr.value().cast<AffineDimExpr>().getPosition();
569     AffineMap foldedDims = reassociationMaps[resultExpr.index()];
570     numExpandedDims[pos] = foldedDims.getNumResults();
571     ArrayRef<int64_t> shape =
572         expandedShape.slice(foldedDims.getDimPosition(0), numExpandedDims[pos]);
573     expandedShapeMap[pos].assign(shape.begin(), shape.end());
574   }
575   // The remaining dimensions remain the same.
576   for (unsigned i : llvm::seq<unsigned>(0, fusedIndexMap.getNumDims()))
577     if (expandedShapeMap[i].empty())
578       expandedShapeMap[i] = {(*originalLoopRange)[i]};
579 
580   // Compute reassociation map from the original op to the expanded op.
581   unsigned sum = 0;
582   reassociation.reserve(fusedIndexMap.getNumDims());
583   for (auto numFoldedDim : llvm::enumerate(numExpandedDims)) {
584     auto seq = llvm::seq<int64_t>(sum, sum + numFoldedDim.value());
585     reassociation.emplace_back(seq.begin(), seq.end());
586     sum += numFoldedDim.value();
587   }
588   expandedOpNumDims = sum;
589   return success();
590 }
591 
592 /// Epanding the body of a linalg operation requires adaptations of the accessed
593 /// loop indices. Specifically, access of indices in the original operation need
594 /// to be replaced with linearizations of indices in the expanded op. That
595 /// requires the shape of the expanded dimensions to be static (at least all but
596 /// the most significant). For now check that these are all statically sized.
597 /// Note that this could be extended to handle dynamic case, but the
598 /// implementation below uses `affine.apply` which seems to have issues when the
599 /// shapes are not static.
600 LogicalResult isGenericOpExpandable(GenericOp genericOp,
601                                     const ExpansionInfo &expansionInfo,
602                                     PatternRewriter &rewriter) {
603   if (!genericOp.hasIndexSemantics())
604     return success();
605   for (unsigned i : llvm::seq<unsigned>(0, expansionInfo.getOrigOpNumDims())) {
606     ArrayRef<int64_t> expandedShape = expansionInfo.getExpandedShapeOfDim(i);
607     if (expandedShape.size() == 1)
608       continue;
609     for (int64_t shape : expandedShape.drop_front()) {
610       if (ShapedType::isDynamic(shape)) {
611         return rewriter.notifyMatchFailure(
612             genericOp, "cannot expand due to index semantics and dynamic dims");
613       }
614     }
615   }
616   return success();
617 }
618 
619 /// Return the indexing map to use in the expanded op for a given the
620 /// `indexingMap` of the original operation.
621 static AffineMap
622 getIndexingMapInExpandedOp(OpBuilder &builder, AffineMap indexingMap,
623                            const ExpansionInfo &expansionInfo) {
624   SmallVector<AffineExpr> newExprs;
625   for (AffineExpr expr : indexingMap.getResults()) {
626     unsigned pos = expr.cast<AffineDimExpr>().getPosition();
627     SmallVector<AffineExpr, 4> expandedExprs = llvm::to_vector<4>(
628         llvm::map_range(expansionInfo.getExpandedDims(pos), [&](int64_t v) {
629           return builder.getAffineDimExpr(static_cast<unsigned>(v));
630         }));
631     newExprs.append(expandedExprs.begin(), expandedExprs.end());
632   }
633   return AffineMap::get(expansionInfo.getExpandedOpNumDims(),
634                         indexingMap.getNumSymbols(), newExprs,
635                         builder.getContext());
636 }
637 
638 /// Return the type of the operand/result to use in the expanded op given the
639 /// type in the original op.
640 static RankedTensorType getExpandedType(RankedTensorType originalType,
641                                         AffineMap indexingMap,
642                                         const ExpansionInfo &expansionInfo) {
643   SmallVector<int64_t> expandedShape;
644   for (AffineExpr expr : indexingMap.getResults()) {
645     unsigned dim = expr.cast<AffineDimExpr>().getPosition();
646     auto dimExpansion = expansionInfo.getExpandedShapeOfDim(dim);
647     expandedShape.append(dimExpansion.begin(), dimExpansion.end());
648   }
649   return RankedTensorType::get(expandedShape, originalType.getElementType());
650 }
651 
652 /// Returns the reassociation maps to use in the `tensor.expand_shape`
653 /// operation to convert the operands of the original operation to operands of
654 /// the expanded operation. The same method is used to compute the
655 /// `tensor.collapse_shape` used to collapse the result of the expanded
656 /// op to get the value that can replace all uses of the results of the original
657 /// op.
658 static SmallVector<ReassociationIndices>
659 getReassociationForExpansion(AffineMap indexingMap,
660                              const ExpansionInfo &expansionInfo) {
661   SmallVector<ReassociationIndices> reassociation;
662   unsigned numReshapeDims = 0;
663   for (AffineExpr expr : indexingMap.getResults()) {
664     unsigned dim = expr.cast<AffineDimExpr>().getPosition();
665     auto numExpandedDims = expansionInfo.getExpandedDims(dim).size();
666     SmallVector<int64_t, 2> indices = llvm::to_vector<2>(
667         llvm::seq<int64_t>(numReshapeDims, numReshapeDims + numExpandedDims));
668     reassociation.emplace_back(std::move(indices));
669     numReshapeDims += numExpandedDims;
670   }
671   return reassociation;
672 }
673 
674 /// Update the body of an expanded linalg operation having index semantics. The
675 /// indices of the original operation need to be recovered by linearizing the
676 /// indices of the correspoding dimensions of the expanded operation. For now it
677 /// is assumed that the shapes of the expanded operation needed for
678 /// linearization are static.
679 static void updateExpandedGenericOpRegion(PatternRewriter &rewriter,
680                                           Location loc, Region &fusedRegion,
681                                           const ExpansionInfo &expansionInfo) {
682   // Replace the original indices by the linearization of the expanded indices.
683   for (IndexOp indexOp :
684        llvm::make_early_inc_range(fusedRegion.front().getOps<IndexOp>())) {
685     ArrayRef<int64_t> expandedDims =
686         expansionInfo.getExpandedDims(indexOp.dim());
687     assert(!expandedDims.empty() && "expected valid expansion info");
688 
689     // Skip index operations that are not affected by the expansion.
690     if (expandedDims.size() == 1 &&
691         expandedDims.front() == (int64_t)indexOp.dim())
692       continue;
693 
694     // Linearize the expanded indices of the original index dimension.
695     OpBuilder::InsertionGuard guard(rewriter);
696     rewriter.setInsertionPointAfter(indexOp);
697     ArrayRef<int64_t> expandedDimsShape =
698         expansionInfo.getExpandedShapeOfDim(indexOp.dim()).drop_front();
699     SmallVector<Value> expandedIndices;
700     expandedIndices.reserve(expandedDims.size() - 1);
701     llvm::transform(
702         expandedDims.drop_front(), std::back_inserter(expandedIndices),
703         [&](int64_t dim) { return rewriter.create<IndexOp>(loc, dim); });
704     Value newIndex = rewriter.create<IndexOp>(loc, expandedDims.front());
705     for (auto it : llvm::zip(expandedDimsShape, expandedIndices)) {
706       assert(!ShapedType::isDynamic(std::get<0>(it)));
707       AffineExpr idx, acc;
708       bindDims(rewriter.getContext(), idx, acc);
709       newIndex = rewriter.create<AffineApplyOp>(
710           indexOp.getLoc(), idx + acc * std::get<0>(it),
711           ValueRange{std::get<1>(it), newIndex});
712     }
713     rewriter.replaceOp(indexOp, newIndex);
714   }
715 }
716 
717 /// Implements the fusion of a tensor_collapse_shape or a tensor_expand_shape op
718 /// and a generic op as explained in `isFusableWithReshapeByExpansion`. Assumes
719 /// that those conditions have been satisfied.
720 static Optional<SmallVector<Value>>
721 fuseWithReshapeByExpansion(GenericOp genericOp, Operation *reshapeOp,
722                            OpOperand *fusableOpOperand,
723                            PatternRewriter &rewriter) {
724   assert(isFusableWithReshapeByDimExpansion(genericOp, fusableOpOperand) &&
725          "preconditions for fuse operation failed");
726   // Check if reshape is expanding or collapsing.
727   auto expandingReshapeOp = dyn_cast<tensor::ExpandShapeOp>(*reshapeOp);
728   auto collapsingReshapeOp = dyn_cast<tensor::CollapseShapeOp>(*reshapeOp);
729   bool isExpanding = (expandingReshapeOp != nullptr);
730   RankedTensorType expandedType = isExpanding
731                                       ? expandingReshapeOp.getResultType()
732                                       : collapsingReshapeOp.getSrcType();
733 
734   ExpansionInfo expansionInfo;
735   if (failed(expansionInfo.compute(
736           genericOp, fusableOpOperand,
737           isExpanding ? expandingReshapeOp.getReassociationMaps()
738                       : collapsingReshapeOp.getReassociationMaps(),
739           expandedType.getShape(), rewriter)))
740     return llvm::None;
741 
742   if (failed(isGenericOpExpandable(genericOp, expansionInfo, rewriter)))
743     return llvm::None;
744 
745   SmallVector<AffineMap, 4> expandedOpIndexingMaps = llvm::to_vector<4>(
746       llvm::map_range(genericOp.getIndexingMaps(), [&](AffineMap m) {
747         return getIndexingMapInExpandedOp(rewriter, m, expansionInfo);
748       }));
749 
750   SmallVector<Value> expandedOpOperands;
751   expandedOpOperands.reserve(genericOp.getNumInputs());
752   for (OpOperand *opOperand : genericOp.getInputOperands()) {
753     if (opOperand == fusableOpOperand) {
754       expandedOpOperands.push_back(isExpanding ? expandingReshapeOp.src()
755                                                : collapsingReshapeOp.src());
756       continue;
757     }
758     if (genericOp.isInputTensor(opOperand)) {
759       AffineMap indexingMap = genericOp.getTiedIndexingMap(opOperand);
760       RankedTensorType expandedOperandType =
761           getExpandedType(opOperand->get().getType().cast<RankedTensorType>(),
762                           indexingMap, expansionInfo);
763       if (expandedOperandType != opOperand->get().getType()) {
764         // Reshape the operand to get the right type.
765         SmallVector<ReassociationIndices> reassociation =
766             getReassociationForExpansion(indexingMap, expansionInfo);
767         expandedOpOperands.push_back(rewriter.create<tensor::ExpandShapeOp>(
768             genericOp.getLoc(), expandedOperandType, opOperand->get(),
769             reassociation));
770         continue;
771       }
772     }
773     expandedOpOperands.push_back(opOperand->get());
774   }
775 
776   Location loc = genericOp.getLoc();
777   SmallVector<Value> outputs;
778   for (OpOperand *opOperand : genericOp.getOutputOperands()) {
779     AffineMap indexingMap = genericOp.getTiedIndexingMap(opOperand);
780     RankedTensorType expandedOutputType =
781         getExpandedType(opOperand->get().getType().cast<RankedTensorType>(),
782                         indexingMap, expansionInfo);
783     if (expandedOutputType != opOperand->get().getType()) {
784       SmallVector<ReassociationIndices> reassociation =
785           getReassociationForExpansion(indexingMap, expansionInfo);
786       outputs.push_back(rewriter.create<tensor::ExpandShapeOp>(
787           genericOp.getLoc(), expandedOutputType, opOperand->get(),
788           reassociation));
789     }
790   }
791 
792   // The iterator types of the expanded op are all parallel.
793   SmallVector<StringRef> iteratorTypes(expansionInfo.getExpandedOpNumDims(),
794                                        getParallelIteratorTypeName());
795 
796   TypeRange resultTypes = ValueRange(outputs).getTypes();
797   auto fusedOp =
798       rewriter.create<GenericOp>(genericOp.getLoc(), resultTypes,
799                                  /*inputs=*/expandedOpOperands, outputs,
800                                  expandedOpIndexingMaps, iteratorTypes);
801   Region &fusedRegion = fusedOp->getRegion(0);
802   Region &originalRegion = genericOp->getRegion(0);
803   rewriter.cloneRegionBefore(originalRegion, fusedRegion, fusedRegion.begin());
804 
805   // Update the index accesses after the expansion.
806   updateExpandedGenericOpRegion(rewriter, loc, fusedRegion, expansionInfo);
807 
808   // Reshape the result values to their original shape if this is a collapsing
809   // reshape folded into its consumer.
810   SmallVector<Value> resultVals;
811   for (OpResult opResult : genericOp->getOpResults()) {
812     int64_t resultNumber = opResult.getResultNumber();
813     if (!isExpanding && resultTypes[resultNumber] != opResult.getType()) {
814       SmallVector<ReassociationIndices> reassociation =
815           getReassociationForExpansion(
816               genericOp.getTiedIndexingMap(
817                   genericOp.getOutputOperand(resultNumber)),
818               expansionInfo);
819       resultVals.push_back(rewriter.create<tensor::CollapseShapeOp>(
820           genericOp.getLoc(), opResult.getType(),
821           fusedOp->getResult(resultNumber), reassociation));
822     } else {
823       resultVals.push_back(fusedOp->getResult(resultNumber));
824     }
825   }
826   // Assuming a single result.
827   return resultVals;
828 }
829 
830 namespace {
831 
832 /// Pattern to fold tensor_expand_shape op with its consumer by using the source
833 /// of the reshape op as the operand in the consumer (instead of the result of
834 /// the tensor_collapse_shape). The corresponding index map in the consumer
835 /// needs to be modified to linearize the folded dimension.
836 ///
837 /// For example,
838 ///
839 /// #map0 = affine_map<(d0, d1, d2, d3) -> (d0, d1, d2, d3)>
840 /// %0 = tensor.expand_shape %arg0 [[0], [1, 2], [3]]
841 ///      tensor<?x?x?xf32> into tensor<?x?x4x?xf32>
842 /// %1 = linalg.generic { indexing_maps = [#map0, #map0, #map0], ... }
843 ///        ins(%0, %arg1 : tensor<?x?x4x?xf32>, tensor<?x?x4x?xf32>) ...
844 ///        -> tensor<?x?x4x?xf32>
845 ///
846 /// can be folded into
847 ///
848 /// #map0 = affine_map<(d0, d1, d2, d3) -> (d0, d1 * 4 + d2, d3)>
849 /// #map1 = affine_map<(d0, d1, d2, d3) -> (d0, d1, d2, d3)>
850 /// %0 = linalg.generic { indexing_maps = [#map0, #map1, #map1] ... }
851 ///        ins(%arg0, %arg1 : tensor<?x?x?xf32>, tensor<?x?x4x?xf32>) ...
852 ///        -> tensor<?x?x4x?xf32>
853 template <bool foldUnitDimReshapesOnly, typename TensorReshapeOp>
854 struct FoldProducerReshapeOpByLinearization
855     : public OpRewritePattern<GenericOp> {
856   using OpRewritePattern<GenericOp>::OpRewritePattern;
857 
858   LogicalResult matchAndRewrite(GenericOp genericOp,
859                                 PatternRewriter &rewriter) const override {
860     if (!genericOp.hasTensorSemantics())
861       return failure();
862     SmallVector<OpOperand *> inputOperands = genericOp.getInputOperands();
863     for (auto en : llvm::enumerate(inputOperands)) {
864       auto reshapeOp = en.value()->get().getDefiningOp<TensorReshapeOp>();
865       if (!reshapeOp)
866         continue;
867 
868       if (!isTensorReshapeOpFoldableByLinearization(
869               reshapeOp, genericOp.getTiedIndexingMap(en.value()),
870               /*asProducer =*/true) ||
871           (foldUnitDimReshapesOnly && !isUnitDimExpansionOnly(reshapeOp)))
872         continue;
873 
874       // Compute the fused operands list,
875       SmallVector<Value> fusedOperands = genericOp.getInputOperands();
876       fusedOperands[en.index()] = reshapeOp.src();
877       SmallVector<Value> outputOperands = genericOp.getOutputOperands();
878       llvm::append_range(fusedOperands, outputOperands);
879 
880       // Compute indexing_maps for the fused operation. The indexing_maps for
881       // the operands of the consumers that arent fused are the same.
882       SmallVector<AffineMap> fusedIndexMaps = genericOp.getIndexingMaps();
883 
884       // Accepted consumer maps are either identity or permutation.
885       auto invMap = inversePermutation(fusedIndexMaps[en.index()]);
886 
887       // Compute the indexing map to use for the result of the producer.
888       AffineMap modifiedMap = linearizeCollapsedDims(invMap, reshapeOp);
889       // The modified map cannot have symbols.
890       if (modifiedMap.getNumSymbols())
891         return failure();
892       for (AffineExpr expr : modifiedMap.getResults()) {
893         if (!expr.isPureAffine())
894           return failure();
895       }
896       fusedIndexMaps[en.index()] = modifiedMap;
897 
898       // Further check that the resulting index maps can be fused and
899       // inverted. Without this the resultant op is not legal.
900       if (!inversePermutation(concatAffineMaps(fusedIndexMaps))) {
901         return rewriter.notifyMatchFailure(
902             genericOp, "fused op loop bound computation failed");
903       }
904 
905       rewriter.startRootUpdate(genericOp);
906       genericOp->setOperands(fusedOperands);
907       genericOp.indexing_mapsAttr(
908           rewriter.getAffineMapArrayAttr(fusedIndexMaps));
909       rewriter.finalizeRootUpdate(genericOp);
910       return success();
911     }
912     return failure();
913   }
914 };
915 
916 static SmallVector<ReassociationIndices>
917 getReassociationIndices(ArrayRef<AffineMap> maps) {
918   SmallVector<ReassociationIndices> reassociation;
919   for (AffineMap map : maps) {
920     ReassociationIndices indices;
921     for (unsigned i = 0, e = map.getNumResults(); i < e; i++) {
922       unsigned pos = map.getResult(i).cast<AffineDimExpr>().getPosition();
923       indices.push_back(pos);
924     }
925     reassociation.push_back(indices);
926   }
927   return reassociation;
928 }
929 
930 /// Pattern to move rank reducing reshape after an elementwise linalg generic
931 /// op. This is useful to expose more fusion opportunities between named ops and
932 /// generic ops. This can only be done if there is no broadcast or permuation
933 /// within the dimensions we need to merge.
934 ///
935 /// For example,
936 ///
937 ///  %0 = tensor.expand_shape %A [[0, 1], [2]]
938 ///      : tensor<12544x16xf32> into tensor<112x112x16xf32>
939 ///  %2 = linalg.generic {indexing_maps = [
940 ///    affine_map<(d0, d1, d2) -> (d0, d1, d2)>,
941 ///    affine_map<(d0, d1, d2) -> (d2)>,
942 ///    affine_map<(d0, d1, d2) -> (d0, d1, d2)>], iterator_types =
943 ///    ["parallel", "parallel", "parallel"]} {
944 ///  } -> tensor<112x112x16xf32>
945 ///
946 ///  into
947 ///
948 ///  %2 = linalg.generic {indexing_maps = [
949 ///    affine_map<(d0, d1) -> (d0, d1)>,
950 ///    affine_map<(d0, d1) -> (d1)>,
951 ///    affine_map<(d0, d1) -> (d0, d1)>],
952 ///    iterator_types = ["parallel", "parallel"]} ins(%arg0, %arg1
953 ///    : tensor<12544x16xf32>, tensor<16xf32>) outs(%1 : tensor<12544x16xf32>) {
954 ///  } -> tensor<12544x16xf32>
955 ///  %3 = tensor.expand_shape %2 [[0, 1], [2]]
956 ///    : tensor<12544x16xf32> into tensor<112x112x16xf32>
957 struct PushExpandingReshape : public OpRewritePattern<GenericOp> {
958   using OpRewritePattern<GenericOp>::OpRewritePattern;
959 
960   LogicalResult matchAndRewrite(GenericOp genericOp,
961                                 PatternRewriter &rewriter) const override {
962     // Only apply to elementwise linalg on tensor.
963     if (!genericOp.hasTensorSemantics() ||
964         genericOp.getNumParallelLoops() != genericOp.getNumLoops())
965       return failure();
966     // Only support identity output maps. It could be extended to permuations if
967     // needed.
968     if (llvm::any_of(genericOp.getOutputOperands(), [&](OpOperand *opOperand) {
969           return !genericOp.getTiedIndexingMap(opOperand).isIdentity();
970         }))
971       return failure();
972     int64_t destRank = genericOp.getNumParallelLoops();
973     SmallVector<Value> newOperands = genericOp.getInputOperands();
974     tensor::ExpandShapeOp reshapeFound;
975     // 1. Look for tensor_expand_shape operands and figure out save the
976     // dimensions merged.
977     SmallVector<OpOperand *> inputOperands = genericOp.getInputOperands();
978     for (auto en : llvm::enumerate(inputOperands)) {
979       auto reshapeOp =
980           en.value()->get().template getDefiningOp<tensor::ExpandShapeOp>();
981       if (!reshapeOp)
982         continue;
983       // TODO: We could support non-identity map as long as the merged
984       // dimensions are still contiguous.
985       if (!genericOp.getTiedIndexingMap(en.value()).isIdentity())
986         continue;
987       if (reshapeFound) {
988         // Only support a second reshape op if it has the same reassociate maps.
989         if (reshapeFound.getReassociationMaps() ==
990             reshapeOp.getReassociationMaps())
991           newOperands[en.index()] = reshapeOp.src();
992         continue;
993       }
994       reshapeFound = reshapeOp;
995       newOperands[en.index()] = reshapeOp.src();
996     }
997     if (!reshapeFound)
998       return failure();
999 
1000     // Calculate the reassociation indices and rassociated reverse map.
1001     SmallVector<ReassociationIndices> reassociation =
1002         getReassociationIndices(reshapeFound.getReassociationMaps());
1003     SmallVector<unsigned> remap(destRank);
1004     for (auto &indices : llvm::enumerate(reassociation)) {
1005       for (int64_t index : indices.value()) {
1006         remap[index] = indices.index();
1007       }
1008     }
1009     // 2. Verify that we can merge the dimensions in the linalg and that we
1010     // don't need to create new reshapes operands. Inserting new reshape
1011     // operands would defeat the purpose of the transformation.
1012     for (auto en : llvm::enumerate(inputOperands)) {
1013       if (en.value()->get() == newOperands[en.index()]) {
1014         AffineMap map = genericOp.getTiedIndexingMap(en.value());
1015         for (unsigned i : llvm::seq(unsigned(0), map.getNumResults())) {
1016           if (reassociation[remap[map.getDimPosition(i)]].size() > 1)
1017             return failure();
1018         }
1019       }
1020     }
1021 
1022     // 3. Calculate the affine map remapping and the reassociation to apply to
1023     // output tensors.
1024     SmallVector<AffineMap> newMaps;
1025     unsigned newRank = reassociation.size();
1026     for (auto map : genericOp.getIndexingMaps()) {
1027       SmallVector<AffineExpr> newExprs;
1028       for (auto expr : map.getResults()) {
1029         unsigned position = expr.template cast<AffineDimExpr>().getPosition();
1030         // Skip dimension merged except for the last of the group.
1031         if (reassociation[remap[position]].back() == position) {
1032           newExprs.push_back(
1033               getAffineDimExpr(remap[position], genericOp.getContext()));
1034         }
1035       }
1036       newMaps.push_back(
1037           AffineMap::get(newRank, 0, newExprs, genericOp.getContext()));
1038     }
1039 
1040     // 4. Reshape the output tensors.
1041     SmallVector<Value> newOutputs;
1042     SmallVector<Type> newOutputTypes;
1043     for (auto output : genericOp.outputs()) {
1044       auto newOutputType = RankedTensorType::get(
1045           reshapeFound.getSrcType().getShape(),
1046           output.getType().template cast<RankedTensorType>().getElementType());
1047       Value newOutput = rewriter.create<tensor::CollapseShapeOp>(
1048           genericOp->getLoc(), newOutputType, output, reassociation);
1049       newOutputTypes.push_back(newOutputType);
1050       newOutputs.push_back(newOutput);
1051     }
1052     // 5. Create a new generic op with lowerer rank.
1053     SmallVector<StringRef> iteratorTypes(newRank,
1054                                          getParallelIteratorTypeName());
1055     auto newOp = rewriter.create<GenericOp>(genericOp->getLoc(), newOutputTypes,
1056                                             newOperands, newOutputs, newMaps,
1057                                             iteratorTypes);
1058     rewriter.inlineRegionBefore(genericOp.region(), newOp.region(),
1059                                 newOp.region().begin());
1060     // 6. Reshape the so that the type matches the uses.
1061     SmallVector<Value> newResults;
1062     for (auto result : llvm::enumerate(newOp->getResults())) {
1063       newResults.push_back(rewriter.create<tensor::ExpandShapeOp>(
1064           genericOp->getLoc(), genericOp.getOutputTensorTypes()[result.index()],
1065           result.value(), reassociation));
1066     }
1067     rewriter.replaceOp(genericOp, newResults);
1068     return success();
1069   }
1070 };
1071 
1072 /// Pattern to fuse a tensor_collapse_shape op with its consumer generic op,
1073 /// when the reshape op is collapsing dimensions. The dimensionality of the loop
1074 /// in the consumer is expanded.
1075 class FoldWithProducerReshapeOpByExpansion
1076     : public OpRewritePattern<GenericOp> {
1077 public:
1078   FoldWithProducerReshapeOpByExpansion(
1079       MLIRContext *context, ControlElementwiseOpsFusionFn foldReshapes,
1080       PatternBenefit benefit = 1)
1081       : OpRewritePattern<GenericOp>(context, benefit),
1082         controlFoldingReshapes(foldReshapes) {}
1083 
1084   LogicalResult matchAndRewrite(GenericOp genericOp,
1085                                 PatternRewriter &rewriter) const override {
1086     for (OpOperand *opOperand : genericOp.getInputTensorOperands()) {
1087       tensor::CollapseShapeOp reshapeOp =
1088           opOperand->get().getDefiningOp<tensor::CollapseShapeOp>();
1089       if (!reshapeOp)
1090         continue;
1091       // Fold only if
1092       // - The tensor reshape op is folding.
1093       // - All constraints of fusing with reshape by expansion are met.
1094       if (!isFusableWithReshapeByDimExpansion(genericOp, opOperand) ||
1095           (!controlFoldingReshapes(reshapeOp->getResult(0), *opOperand)))
1096         continue;
1097 
1098       Optional<SmallVector<Value>> replacementValues =
1099           fuseWithReshapeByExpansion(genericOp, reshapeOp, opOperand, rewriter);
1100       if (!replacementValues)
1101         return failure();
1102       rewriter.replaceOp(genericOp, replacementValues.getValue());
1103       return success();
1104     }
1105     return failure();
1106   }
1107 
1108 private:
1109   ControlElementwiseOpsFusionFn controlFoldingReshapes;
1110 };
1111 
1112 /// Pattern to fold tensor_collapse_shape or tensor_expand_shape op with its
1113 /// producer. The corresponding index map in the consumer needs to be modified
1114 /// to linearize the folded dimension.
1115 template <bool foldUnitDimReshapesOnly, typename TensorReshapeOp>
1116 struct FoldConsumerReshapeOpByLinearization
1117     : public OpRewritePattern<TensorReshapeOp> {
1118   using OpRewritePattern<TensorReshapeOp>::OpRewritePattern;
1119 
1120   LogicalResult matchAndRewrite(TensorReshapeOp reshapeOp,
1121                                 PatternRewriter &rewriter) const override {
1122     GenericOp producer = reshapeOp.src().template getDefiningOp<GenericOp>();
1123     if (!producer || !producer.hasTensorSemantics() ||
1124         producer.getNumOutputs() != 1 ||
1125         !isTensorReshapeOpFoldableByLinearization(
1126             reshapeOp,
1127             producer.getTiedIndexingMap(producer.getOutputOperand(0)),
1128             /*asProducer =*/false) ||
1129         (foldUnitDimReshapesOnly && !isUnitDimExpansionOnly(reshapeOp)))
1130       return failure();
1131     // The indexing_maps for the operands of the fused operation are same as
1132     // those for the operands of the producer.
1133     SmallVector<AffineMap> fusedIndexMaps = producer.getIndexingMaps();
1134 
1135     auto invMap = inversePermutation(
1136         producer.getTiedIndexingMap(producer.getOutputOperand(0)));
1137 
1138     // Compute the indexing map to use for the operand of the producer.
1139     AffineMap modifiedMap = linearizeCollapsedDims(invMap, reshapeOp);
1140     for (AffineExpr expr : modifiedMap.getResults()) {
1141       if (!expr.isPureAffine()) {
1142         return rewriter.notifyMatchFailure(
1143             producer, "fused op indexing map is not affine");
1144       }
1145     }
1146     fusedIndexMaps.back() = modifiedMap;
1147 
1148     // Further check that the resulting index maps can be fused and
1149     // inverted. Without this the resultant op is not legal.
1150     if (!inversePermutation(concatAffineMaps(fusedIndexMaps))) {
1151       return rewriter.notifyMatchFailure(
1152           producer, "fused op loop bound computation failed");
1153     }
1154 
1155     Location loc = producer.getLoc();
1156     SmallVector<Value> inputOperands = producer.getInputOperands();
1157     Value output = rewriter.create<TensorReshapeOp>(
1158         loc, producer.getOutputOperand(0)->get(),
1159         reshapeOp.getReassociationExprs());
1160     auto fusedOp = rewriter.create<GenericOp>(
1161         loc, reshapeOp.getResultType(),
1162         /*inputs=*/inputOperands,
1163         // TODO: handle outputs.
1164         /*outputs=*/output, rewriter.getAffineMapArrayAttr(fusedIndexMaps),
1165         producer.iterator_types(),
1166         /*doc=*/nullptr,
1167         /*library_call=*/nullptr);
1168     auto &fusedRegion = fusedOp->getRegion(0);
1169     rewriter.cloneRegionBefore(producer->getRegion(0), fusedRegion,
1170                                fusedRegion.begin());
1171     rewriter.replaceOp(reshapeOp, fusedOp->getResults());
1172     return success();
1173   }
1174 };
1175 
1176 /// Pattern to fold a tensor_expand_shape op with its producer generic op
1177 /// by expanding the dimensionality of the loop in the producer op.
1178 struct FoldReshapeWithGenericOpByExpansion
1179     : public OpRewritePattern<tensor::ExpandShapeOp> {
1180 
1181   FoldReshapeWithGenericOpByExpansion(
1182       MLIRContext *context, ControlElementwiseOpsFusionFn foldReshapes,
1183       PatternBenefit benefit = 1)
1184       : OpRewritePattern<tensor::ExpandShapeOp>(context, benefit),
1185         controlFoldingReshapes(foldReshapes) {}
1186 
1187   LogicalResult matchAndRewrite(tensor::ExpandShapeOp reshapeOp,
1188                                 PatternRewriter &rewriter) const override {
1189     // Fold only if all constraints of fusing with reshape by expansion are met.
1190     GenericOp producer = reshapeOp.src().getDefiningOp<GenericOp>();
1191     if (!producer || producer.getNumOutputs() != 1 ||
1192         !isFusableWithReshapeByDimExpansion(producer,
1193                                             producer.getOutputOperand(0)) ||
1194         !controlFoldingReshapes(producer->getResult(0),
1195                                 reshapeOp->getOpOperand(0)))
1196       return failure();
1197     Optional<SmallVector<Value>> replacementValues = fuseWithReshapeByExpansion(
1198         producer, reshapeOp, producer.getOutputOperand(0), rewriter);
1199     if (!replacementValues)
1200       return failure();
1201     rewriter.replaceOp(reshapeOp, replacementValues.getValue());
1202     return success();
1203   }
1204 
1205 private:
1206   ControlElementwiseOpsFusionFn controlFoldingReshapes;
1207 };
1208 
1209 /// Pattern to fold a generic op with a splat constant/scalar constant. Does not
1210 /// handle cases where the constant is not single-valued.
1211 class FoldScalarOrSplatConstant : public OpRewritePattern<GenericOp> {
1212 public:
1213   FoldScalarOrSplatConstant(MLIRContext *context,
1214                             ControlElementwiseOpsFusionFn &fun,
1215                             PatternBenefit benefit = 1)
1216       : OpRewritePattern<GenericOp>(context, benefit), controlFn(fun) {}
1217 
1218   LogicalResult matchAndRewrite(GenericOp genericOp,
1219                                 PatternRewriter &rewriter) const override {
1220     if (!genericOp.hasTensorSemantics())
1221       return failure();
1222     for (OpOperand *opOperand : genericOp.getInputOperands()) {
1223       Operation *def = opOperand->get().getDefiningOp();
1224       Attribute constantAttr;
1225       auto isScalarOrSplatConstantOp = [&constantAttr](Operation *def) -> bool {
1226         {
1227           DenseElementsAttr splatAttr;
1228           if (matchPattern(def, m_Constant<DenseElementsAttr>(&splatAttr)) &&
1229               splatAttr.isSplat() &&
1230               splatAttr.getType().getElementType().isIntOrFloat()) {
1231             constantAttr = splatAttr.getSplatValue<Attribute>();
1232             return true;
1233           }
1234         }
1235         {
1236           IntegerAttr intAttr;
1237           if (matchPattern(def, m_Constant<IntegerAttr>(&intAttr))) {
1238             constantAttr = intAttr;
1239             return true;
1240           }
1241         }
1242         {
1243           FloatAttr floatAttr;
1244           if (matchPattern(def, m_Constant<FloatAttr>(&floatAttr))) {
1245             constantAttr = floatAttr;
1246             return true;
1247           }
1248         }
1249         return false;
1250       };
1251 
1252       auto resultValue = opOperand->get().dyn_cast<OpResult>();
1253       if (!def || !resultValue || !isScalarOrSplatConstantOp(def) ||
1254           !controlFn(resultValue, *opOperand))
1255         continue;
1256 
1257       // The operands and the indexing_maps of the fused operation the same as
1258       // the operands and indexing_maps of the generic operations with the
1259       // values at the constant index dropped.
1260       SmallVector<AffineMap> fusedIndexMaps;
1261       SmallVector<Value> fusedOperands;
1262       SmallVector<Location> fusedLocs{genericOp.getLoc()};
1263       fusedIndexMaps.reserve(genericOp.getNumInputsAndOutputs());
1264       fusedOperands.reserve(genericOp.getNumInputs());
1265       fusedLocs.reserve(fusedLocs.size() + genericOp.getNumInputs());
1266       for (OpOperand *inputOperand : genericOp.getInputOperands()) {
1267         if (inputOperand == opOperand)
1268           continue;
1269         Value inputValue = inputOperand->get();
1270         fusedIndexMaps.push_back(genericOp.getTiedIndexingMap(inputOperand));
1271         fusedOperands.push_back(inputValue);
1272         fusedLocs.push_back(inputValue.getLoc());
1273       }
1274       for (OpOperand *outputOperand : genericOp.getOutputOperands())
1275         fusedIndexMaps.push_back(genericOp.getTiedIndexingMap(outputOperand));
1276 
1277       // Check if the operation shapes to loops map is computable.
1278       if (!inversePermutation(concatAffineMaps(fusedIndexMaps))) {
1279         return rewriter.notifyMatchFailure(
1280             genericOp, "fused op loop bound computation failed");
1281       }
1282 
1283       // Create a constant scalar value from the splat constant.
1284       Value scalarConstant = rewriter.create<arith::ConstantOp>(
1285           def->getLoc(), constantAttr, constantAttr.getType());
1286 
1287       SmallVector<Value> outputOperands = genericOp.getOutputOperands();
1288       auto fusedOp = rewriter.create<GenericOp>(
1289           rewriter.getFusedLoc(fusedLocs), genericOp->getResultTypes(),
1290           /*inputs=*/fusedOperands,
1291           /*outputs=*/outputOperands,
1292           rewriter.getAffineMapArrayAttr(fusedIndexMaps),
1293           genericOp.iterator_types(),
1294           /*doc=*/nullptr,
1295           /*library_call=*/nullptr);
1296 
1297       // Map the block argument corresponding to the replaced argument with the
1298       // scalar constant.
1299       Region &region = genericOp->getRegion(0);
1300       Block &entryBlock = *region.begin();
1301       BlockAndValueMapping mapping;
1302       mapping.map(entryBlock.getArgument(opOperand->getOperandNumber()),
1303                   scalarConstant);
1304       Region &fusedRegion = fusedOp->getRegion(0);
1305       rewriter.cloneRegionBefore(region, fusedRegion, fusedRegion.begin(),
1306                                  mapping);
1307       rewriter.replaceOp(genericOp, fusedOp->getResults());
1308       return success();
1309     }
1310     return failure();
1311   }
1312 
1313 private:
1314   ControlElementwiseOpsFusionFn controlFn;
1315 };
1316 
1317 /// Base class for constant folding linalg.generic ops with N inputs, 1 output,
1318 /// and permutation indexing maps.
1319 ///
1320 /// `ConcreteType` should provide methods with signatures
1321 ///
1322 /// ```c++
1323 ///   bool matchIndexingMaps(GenericOp genericOp) const;
1324 ///   RegionComputationFn getRegionComputeFn(GenericOp) const;
1325 /// ```
1326 ///
1327 /// The latter inspects the region and returns the computation inside as a
1328 /// functor. The functor will be invoked with constant elements for all inputs
1329 /// and should return the corresponding computea constant element for output.
1330 template <typename ConcreteType>
1331 class FoldConstantBase : public OpRewritePattern<GenericOp> {
1332 public:
1333   struct APIntOrFloat {
1334     Optional<APInt> apInt;
1335     Optional<APFloat> apFloat;
1336   };
1337   struct APIntOrFloatArray {
1338     SmallVector<APInt> apInts;
1339     SmallVector<APFloat> apFloats;
1340   };
1341   using RegionComputationFn =
1342       std::function<APIntOrFloat(const APIntOrFloatArray &)>;
1343 
1344   FoldConstantBase(MLIRContext *context,
1345                    const ControlElementwiseOpsFusionFn &controlFn,
1346                    PatternBenefit benefit = 1)
1347       : OpRewritePattern<GenericOp>(context, benefit), controlFn(controlFn) {}
1348 
1349   LogicalResult matchAndRewrite(GenericOp genericOp,
1350                                 PatternRewriter &rewriter) const override {
1351     if (genericOp.hasBufferSemantics())
1352       return failure();
1353 
1354     // Only support ops generating one output for now.
1355     if (genericOp.getNumOutputs() != 1)
1356       return failure();
1357 
1358     auto outputType = genericOp.getResultTypes().front().dyn_cast<ShapedType>();
1359     // Require the output types to be static give we are generating constants.
1360     if (!outputType || !outputType.hasStaticShape())
1361       return failure();
1362 
1363     if (!llvm::all_of(genericOp.getInputOperands(), [](OpOperand *operand) {
1364           return operand->get().getType().isa<ShapedType>();
1365         }))
1366       return failure();
1367 
1368     // Make sure all element types are the same.
1369     auto getOperandElementType = [](OpOperand *operand) {
1370       return operand->get().getType().cast<ShapedType>().getElementType();
1371     };
1372     if (!llvm::is_splat(llvm::map_range(genericOp.getInputAndOutputOperands(),
1373                                         getOperandElementType)))
1374       return failure();
1375 
1376     // We can only handle the case where we have int/float elements.
1377     auto elementType = outputType.getElementType();
1378     if (!elementType.isIntOrFloat())
1379       return failure();
1380 
1381     // Require all indexing maps to be permutations for now. This is common and
1382     // it simplifies input/output access greatly: we can do the data shuffling
1383     // entirely in the compiler, without needing to turn all indices into
1384     // Values, and then do affine apply on them, and then match back the
1385     // constant again.
1386     if (!llvm::all_of(genericOp.getIndexingMaps(),
1387                       [](AffineMap map) { return map.isPermutation(); }))
1388       return failure();
1389 
1390     for (OpOperand *operand : genericOp.getOutputOperands()) {
1391       if (genericOp.payloadUsesValueFromOperand(operand))
1392         return failure();
1393     }
1394 
1395     // Further check the indexing maps are okay for the ConcreteType.
1396     if (!static_cast<const ConcreteType *>(this)->matchIndexingMaps(genericOp))
1397       return failure();
1398 
1399     // Defer to the concrete type to check the region and discover the
1400     // computation inside.
1401     RegionComputationFn computeFn =
1402         static_cast<const ConcreteType *>(this)->getRegionComputeFn(genericOp);
1403     if (!computeFn)
1404       return failure();
1405 
1406     // All inputs should be constants.
1407     int numInputs = genericOp.getNumInputs();
1408     SmallVector<DenseIntOrFPElementsAttr> inputValues(numInputs);
1409     for (auto operand : llvm::enumerate(genericOp.getInputOperands())) {
1410       if (!matchPattern(operand.value()->get(),
1411                         m_Constant(&inputValues[operand.index()])))
1412         return failure();
1413     }
1414 
1415     // Identified this as a potential candidate for folding. Now check the
1416     // policy to see whether we are allowed to proceed.
1417     for (int i = 0; i < numInputs; ++i) {
1418       OpOperand *consumer = genericOp.getInputOperand(i);
1419       OpResult producer = consumer->get().cast<OpResult>();
1420       if (!controlFn(producer, *consumer))
1421         return failure();
1422     }
1423 
1424     auto linalgOp = cast<LinalgOp>(genericOp.getOperation());
1425     SmallVector<int64_t, 4> loopBounds = linalgOp.computeStaticLoopSizes();
1426     int64_t numElements = outputType.getNumElements();
1427 
1428     // Use APInt/APFloat instead of Attribute here for constructing the output.
1429     // This helps to avoid blowing up compiler memory usage: Attributes would
1430     // unify the following cases but they have lifetime as the MLIRContext.
1431     SmallVector<APInt> intOutputValues;
1432     SmallVector<APFloat> fpOutputValues;
1433     if (elementType.template isa<FloatType>())
1434       fpOutputValues.resize(numElements, APFloat(0.f));
1435     else
1436       intOutputValues.resize(numElements);
1437 
1438     // Return the constant dim positions from the given permutation map.
1439     auto getDimPositions = [](AffineMap map) {
1440       SmallVector<unsigned> dims;
1441       dims.reserve(map.getNumResults());
1442       for (AffineExpr result : map.getResults()) {
1443         dims.push_back(result.cast<AffineDimExpr>().getPosition());
1444       }
1445       return dims;
1446     };
1447 
1448     SmallVector<SmallVector<unsigned>> inputDims;
1449     for (int i = 0; i < numInputs; ++i)
1450       inputDims.push_back(getDimPositions(genericOp.getIndexingMaps()[i]));
1451     auto outputDims = getDimPositions(genericOp.getIndexingMaps().back());
1452     auto outputShape = outputType.getShape();
1453 
1454     // Allocate small vectors for index delinearization. Initial values do not
1455     // matter here as they will be overwritten later.
1456     SmallVector<uint64_t> indices(loopBounds.size(), 0);
1457     SmallVector<uint64_t> dstIndices(loopBounds.size(), 0);
1458     SmallVector<SmallVector<uint64_t>> srcIndices(
1459         numInputs, SmallVector<uint64_t>(loopBounds.size(), 0));
1460     SmallVector<uint64_t> srcLinearIndices(numInputs, 0);
1461     uint64_t dstLinearIndex = 0;
1462 
1463     // Allocate spaces for compute function inputs. Initial values do not matter
1464     // here as they will be overwritten later.
1465     APIntOrFloatArray computeFnInputs;
1466 
1467     auto inputShapes = llvm::to_vector<4>(
1468         llvm::map_range(genericOp.getInputOperands(), [](OpOperand *operand) {
1469           return operand->get().getType().cast<ShapedType>().getShape();
1470         }));
1471 
1472     // Given a `linearIndex`, remap it to a linear index to access linalg op
1473     // inputs/ouputs. This mutates `indices`, `srcIndices`, `dstIndices`,
1474     // `srcLinearIndices`, `dstLinearIndex` in place.
1475     auto computeRemappedLinearIndex = [&](int linearIndex) {
1476       int totalCount = linearIndex;
1477       for (int dim = loopBounds.size() - 1; dim >= 0; --dim) {
1478         indices[dim] = totalCount % loopBounds[dim];
1479         totalCount /= loopBounds[dim];
1480       }
1481 
1482       for (int dim = loopBounds.size() - 1; dim >= 0; --dim) {
1483         for (int i = 0; i < numInputs; ++i)
1484           srcIndices[i][dim] = indices[inputDims[i][dim]];
1485         dstIndices[dim] = indices[outputDims[dim]];
1486       }
1487 
1488       dstLinearIndex = dstIndices.front();
1489       for (int i = 0; i < numInputs; ++i)
1490         srcLinearIndices[i] = srcIndices[i].front();
1491 
1492       for (int dim = 1; dim < outputType.getRank(); ++dim) {
1493         dstLinearIndex = dstLinearIndex * outputShape[dim] + dstIndices[dim];
1494         for (int i = 0; i < numInputs; ++i)
1495           srcLinearIndices[i] =
1496               srcLinearIndices[i] * inputShapes[i][dim] + srcIndices[i][dim];
1497       }
1498     };
1499 
1500     bool isFloat = elementType.isa<FloatType>();
1501     if (isFloat) {
1502       SmallVector<DenseElementsAttr::iterator_range<APFloat>> inFpRanges;
1503       for (int i = 0; i < numInputs; ++i)
1504         inFpRanges.push_back(inputValues[i].getValues<APFloat>());
1505 
1506       computeFnInputs.apFloats.resize(numInputs, APFloat(0.f));
1507 
1508       // Transpose the input constant. Because we don't know its rank in
1509       // advance, we need to loop over the range [0, element count) and
1510       // delinearize the index.
1511       for (int linearIndex = 0; linearIndex < numElements; ++linearIndex) {
1512         computeRemappedLinearIndex(linearIndex);
1513 
1514         // Collect constant elements for all inputs at this loop iteration.
1515         for (int i = 0; i < numInputs; ++i)
1516           computeFnInputs.apFloats[i] = inFpRanges[i][srcLinearIndices[i]];
1517 
1518         // Invoke the computation to get the corresponding constant output
1519         // element.
1520         fpOutputValues[dstLinearIndex] = *computeFn(computeFnInputs).apFloat;
1521       }
1522     } else {
1523       SmallVector<DenseElementsAttr::iterator_range<APInt>> inIntRanges;
1524       for (int i = 0; i < numInputs; ++i)
1525         inIntRanges.push_back(inputValues[i].getValues<APInt>());
1526 
1527       computeFnInputs.apInts.resize(numInputs);
1528 
1529       // Transpose the input constant. Because we don't know its rank in
1530       // advance, we need to loop over the range [0, element count) and
1531       // delinearize the index.
1532       for (int linearIndex = 0; linearIndex < numElements; ++linearIndex) {
1533         computeRemappedLinearIndex(linearIndex);
1534 
1535         // Collect constant elements for all inputs at this loop iteration.
1536         for (int i = 0; i < numInputs; ++i)
1537           computeFnInputs.apInts[i] = inIntRanges[i][srcLinearIndices[i]];
1538 
1539         // Invoke the computation to get the corresponding constant output
1540         // element.
1541         intOutputValues[dstLinearIndex] = *computeFn(computeFnInputs).apInt;
1542       }
1543     }
1544 
1545     DenseElementsAttr outputAttr =
1546         isFloat ? DenseElementsAttr::get(outputType, fpOutputValues)
1547                 : DenseElementsAttr::get(outputType, intOutputValues);
1548 
1549     rewriter.replaceOpWithNewOp<ConstantOp>(genericOp, outputAttr);
1550     return success();
1551   }
1552 
1553 private:
1554   ControlElementwiseOpsFusionFn controlFn;
1555 };
1556 
1557 // Folds linalg.generic ops that are actually transposes on constant values.
1558 struct FoldConstantTranspose : public FoldConstantBase<FoldConstantTranspose> {
1559   using FoldConstantBase::FoldConstantBase;
1560 
1561   bool matchIndexingMaps(GenericOp genericOp) const {
1562     // We should have one input and one output.
1563     return genericOp.getIndexingMaps().size() == 2;
1564   }
1565 
1566   RegionComputationFn getRegionComputeFn(GenericOp genericOp) const {
1567     // Make sure the region only contains a yield op.
1568     Block &body = genericOp.region().front();
1569     if (!llvm::hasSingleElement(body))
1570       return nullptr;
1571     auto yieldOp = dyn_cast<linalg::YieldOp>(body.getTerminator());
1572     if (!yieldOp)
1573       return nullptr;
1574 
1575     // The yield op should return the block argument corresponds to the input.
1576     for (Value yieldVal : yieldOp.values()) {
1577       auto yieldArg = yieldVal.dyn_cast<BlockArgument>();
1578       if (!yieldArg || yieldArg.getOwner() != &body)
1579         return nullptr;
1580       if (yieldArg.getArgNumber() != 0)
1581         return nullptr;
1582     }
1583 
1584     // No computation; just return the orginal value.
1585     return [](const APIntOrFloatArray &inputs) {
1586       if (inputs.apFloats.empty())
1587         return APIntOrFloat{inputs.apInts.front(), llvm::None};
1588       return APIntOrFloat{llvm::None, inputs.apFloats.front()};
1589     };
1590   }
1591 
1592   ControlElementwiseOpsFusionFn controlFn;
1593 };
1594 
1595 } // namespace
1596 
1597 static Optional<SmallVector<Value>>
1598 fuseElementwiseOps(PatternRewriter &rewriter, OpOperand *consumerOpOperand,
1599                    GenericOp producer,
1600                    const ControlElementwiseOpsFusionFn &controlFn) {
1601   if (producer->getNumResults() != 1)
1602     return llvm::None;
1603 
1604   return fuseElementwiseOpsImpl(producer, consumerOpOperand, controlFn,
1605                                 rewriter);
1606 }
1607 
1608 bool mlir::linalg::skipUnitDimReshape(const OpResult &producer,
1609                                       OpOperand &consumer) {
1610   if (auto producerCollapseOp =
1611           dyn_cast<tensor::CollapseShapeOp>(producer.getOwner())) {
1612     return !isUnitDimExpansionOnly(producerCollapseOp);
1613   }
1614   if (auto consumerExpandOp =
1615           dyn_cast<tensor::ExpandShapeOp>(consumer.getOwner())) {
1616     return !isUnitDimExpansionOnly(consumerExpandOp);
1617   }
1618   return true;
1619 }
1620 
1621 namespace {
1622 /// Patterns to fuse a generic op, with the producer of its operands.
1623 class FuseElementwiseOps : public OpRewritePattern<GenericOp> {
1624 public:
1625   FuseElementwiseOps(MLIRContext *context, ControlElementwiseOpsFusionFn &fun,
1626                      PatternBenefit benefit = 1)
1627       : OpRewritePattern<GenericOp>(context, benefit), controlFn(fun) {}
1628 
1629   LogicalResult matchAndRewrite(GenericOp genericOp,
1630                                 PatternRewriter &rewriter) const override {
1631     // Find the first operand that is defined by another generic op on tensors.
1632     for (OpOperand *opOperand : genericOp.getInputAndOutputOperands()) {
1633       auto producer =
1634           dyn_cast_or_null<GenericOp>(opOperand->get().getDefiningOp());
1635       if (!producer || !producer.hasTensorSemantics())
1636         continue;
1637       Optional<SmallVector<Value>> fusedOpResults =
1638           fuseElementwiseOps(rewriter, opOperand, producer, controlFn);
1639       if (fusedOpResults) {
1640         rewriter.replaceOp(genericOp, *fusedOpResults);
1641         return success();
1642       }
1643     }
1644     return failure();
1645   }
1646 
1647 private:
1648   ControlElementwiseOpsFusionFn controlFn;
1649 };
1650 
1651 /// Pass that fuses generic ops on tensors. Used only for testing.
1652 struct LinalgElementwiseOpFusionPass
1653     : public LinalgElementwiseOpFusionBase<LinalgElementwiseOpFusionPass> {
1654   void runOnOperation() override {
1655     Operation *op = getOperation();
1656     RewritePatternSet patterns(op->getContext());
1657     ControlElementwiseOpsFusionFn allowFoldingFn =
1658         [](const OpResult &producer, const OpOperand &consumer) {
1659           return true;
1660         };
1661     populateElementwiseOpsFusionPatterns(
1662         patterns,
1663         LinalgElementwiseFusionOptions().setControlFoldingReshapes(
1664             allowFoldingUnitDimReshapes ? allowFoldingFn : skipUnitDimReshape));
1665 
1666     // Use TopDownTraversal for compile time reasons
1667     GreedyRewriteConfig grc;
1668     grc.useTopDownTraversal = true;
1669     (void)applyPatternsAndFoldGreedily(op->getRegions(), std::move(patterns),
1670                                        grc);
1671   }
1672 };
1673 
1674 /// Pass to test folding of reshape ops with generic ops by linearization.
1675 struct FoldReshapeOpsByLinearizationPass
1676     : public LinalgFoldReshapeOpsByLinearizationBase<
1677           FoldReshapeOpsByLinearizationPass> {
1678   void runOnOperation() override {
1679     Operation *op = getOperation();
1680     RewritePatternSet patterns(op->getContext());
1681     populateFoldReshapeOpsByLinearizationPatterns(patterns);
1682     if (allowFoldingUnitDimReshapes) {
1683       populateFoldUnitDimsReshapeOpsByLinearizationPatterns(patterns);
1684     }
1685     (void)applyPatternsAndFoldGreedily(op->getRegions(), std::move(patterns));
1686   }
1687 };
1688 
1689 /// Forces `outs` operands of linalg operations to use `linalg.init_tensor` if
1690 /// the value of the `outs` operand is not used within the op.  This is only
1691 /// implemented for `linalg.generic` operations for now, but should hold for all
1692 /// linalg structured ops.
1693 struct RemoveOutsDependency : public OpRewritePattern<GenericOp> {
1694   using OpRewritePattern<GenericOp>::OpRewritePattern;
1695 
1696   LogicalResult matchAndRewrite(GenericOp op,
1697                                 PatternRewriter &rewriter) const override {
1698     rewriter.startRootUpdate(op);
1699     bool modifiedOutput = false;
1700     Location loc = op.getLoc();
1701     for (OpOperand *opOperand : op.getOutputOperands()) {
1702       if (!op.payloadUsesValueFromOperand(opOperand)) {
1703         Value operandVal = opOperand->get();
1704         auto operandType = operandVal.getType().dyn_cast<RankedTensorType>();
1705         if (!operandType)
1706           continue;
1707 
1708         // If outs is already an `init_tensor` operation, nothing to do.
1709         auto definingOp = operandVal.getDefiningOp<InitTensorOp>();
1710         if (definingOp)
1711           continue;
1712         modifiedOutput = true;
1713         SmallVector<Value> dynamicDims;
1714         for (auto dim : llvm::enumerate(operandType.getShape())) {
1715           if (dim.value() != ShapedType::kDynamicSize)
1716             continue;
1717           dynamicDims.push_back(rewriter.createOrFold<tensor::DimOp>(
1718               loc, operandVal, dim.index()));
1719         }
1720         Value initTensor = rewriter.create<InitTensorOp>(
1721             loc, dynamicDims, operandType.getShape(),
1722             operandType.getElementType());
1723         op->setOperand(opOperand->getOperandNumber(), initTensor);
1724       }
1725     }
1726     if (!modifiedOutput) {
1727       rewriter.cancelRootUpdate(op);
1728       return failure();
1729     }
1730     rewriter.finalizeRootUpdate(op);
1731     return success();
1732   }
1733 };
1734 
1735 } // namespace
1736 
1737 void mlir::linalg::populateFoldReshapeOpsByLinearizationPatterns(
1738     RewritePatternSet &patterns) {
1739   patterns
1740       .add<FoldProducerReshapeOpByLinearization<false, tensor::CollapseShapeOp>,
1741            FoldProducerReshapeOpByLinearization<false, tensor::ExpandShapeOp>,
1742            FoldConsumerReshapeOpByLinearization<false, tensor::CollapseShapeOp>,
1743            FoldConsumerReshapeOpByLinearization<false, tensor::ExpandShapeOp>>(
1744           patterns.getContext());
1745 }
1746 
1747 void mlir::linalg::populateFoldUnitDimsReshapeOpsByLinearizationPatterns(
1748     RewritePatternSet &patterns) {
1749   patterns
1750       .add<FoldProducerReshapeOpByLinearization<true, tensor::CollapseShapeOp>,
1751            FoldProducerReshapeOpByLinearization<true, tensor::ExpandShapeOp>,
1752            FoldConsumerReshapeOpByLinearization<true, tensor::CollapseShapeOp>,
1753            FoldConsumerReshapeOpByLinearization<true, tensor::ExpandShapeOp>>(
1754           patterns.getContext());
1755 }
1756 
1757 void mlir::linalg::populateFoldReshapeOpsByExpansionPatterns(
1758     RewritePatternSet &patterns,
1759     ControlElementwiseOpsFusionFn controlFoldingReshapes) {
1760   patterns.add<FoldReshapeWithGenericOpByExpansion>(patterns.getContext(),
1761                                                     controlFoldingReshapes);
1762   patterns.add<FoldWithProducerReshapeOpByExpansion>(patterns.getContext(),
1763                                                      controlFoldingReshapes);
1764 }
1765 
1766 void mlir::linalg::populateElementwiseOpsFusionPatterns(
1767     RewritePatternSet &patterns, LinalgElementwiseFusionOptions options) {
1768   auto *context = patterns.getContext();
1769   patterns.add<FuseElementwiseOps, FoldScalarOrSplatConstant,
1770                FoldConstantTranspose>(context,
1771                                       options.controlElementwiseOpsFusionFn);
1772   patterns.add<RemoveOutsDependency>(context);
1773   populateFoldReshapeOpsByExpansionPatterns(patterns,
1774                                             options.controlFoldingReshapesFn);
1775   AffineApplyOp::getCanonicalizationPatterns(patterns, context);
1776   GenericOp::getCanonicalizationPatterns(patterns, context);
1777   tensor::ExpandShapeOp::getCanonicalizationPatterns(patterns, context);
1778   tensor::CollapseShapeOp::getCanonicalizationPatterns(patterns, context);
1779   context->getLoadedDialect<LinalgDialect>()->getCanonicalizationPatterns(
1780       patterns);
1781 }
1782 
1783 void mlir::linalg::populatePushReshapeOpsPatterns(RewritePatternSet &patterns) {
1784   auto *context = patterns.getContext();
1785   patterns.add<PushExpandingReshape>(context);
1786 }
1787 
1788 std::unique_ptr<Pass> mlir::createLinalgElementwiseOpFusionPass() {
1789   return std::make_unique<LinalgElementwiseOpFusionPass>();
1790 }
1791 
1792 std::unique_ptr<Pass> mlir::createFoldReshapeOpsByLinearizationPass() {
1793   return std::make_unique<FoldReshapeOpsByLinearizationPass>();
1794 }
1795