1 //===- Utils.cpp ---- Utilities for affine dialect transformation ---------===//
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 miscellaneous transformation utilities for the Affine
10 // dialect.
11 //
12 //===----------------------------------------------------------------------===//
13 
14 #include "mlir/Dialect/Affine/Utils.h"
15 #include "mlir/Analysis/Utils.h"
16 #include "mlir/Dialect/Affine/IR/AffineOps.h"
17 #include "mlir/Dialect/Affine/IR/AffineValueMap.h"
18 #include "mlir/IR/BlockAndValueMapping.h"
19 #include "mlir/IR/IntegerSet.h"
20 #include "mlir/Transforms/GreedyPatternRewriteDriver.h"
21 #include "mlir/Transforms/LoopUtils.h"
22 
23 using namespace mlir;
24 
25 /// Promotes the `then` or the `else` block of `ifOp` (depending on whether
26 /// `elseBlock` is false or true) into `ifOp`'s containing block, and discards
27 /// the rest of the op.
28 static void promoteIfBlock(AffineIfOp ifOp, bool elseBlock) {
29   if (elseBlock)
30     assert(ifOp.hasElse() && "else block expected");
31 
32   Block *destBlock = ifOp->getBlock();
33   Block *srcBlock = elseBlock ? ifOp.getElseBlock() : ifOp.getThenBlock();
34   destBlock->getOperations().splice(
35       Block::iterator(ifOp), srcBlock->getOperations(), srcBlock->begin(),
36       std::prev(srcBlock->end()));
37   ifOp.erase();
38 }
39 
40 /// Returns the outermost affine.for/parallel op that the `ifOp` is invariant
41 /// on. The `ifOp` could be hoisted and placed right before such an operation.
42 /// This method assumes that the ifOp has been canonicalized (to be correct and
43 /// effective).
44 static Operation *getOutermostInvariantForOp(AffineIfOp ifOp) {
45   // Walk up the parents past all for op that this conditional is invariant on.
46   auto ifOperands = ifOp.getOperands();
47   auto *res = ifOp.getOperation();
48   while (!isa<FuncOp>(res->getParentOp())) {
49     auto *parentOp = res->getParentOp();
50     if (auto forOp = dyn_cast<AffineForOp>(parentOp)) {
51       if (llvm::is_contained(ifOperands, forOp.getInductionVar()))
52         break;
53     } else if (auto parallelOp = dyn_cast<AffineParallelOp>(parentOp)) {
54       for (auto iv : parallelOp.getIVs())
55         if (llvm::is_contained(ifOperands, iv))
56           break;
57     } else if (!isa<AffineIfOp>(parentOp)) {
58       // Won't walk up past anything other than affine.for/if ops.
59       break;
60     }
61     // You can always hoist up past any affine.if ops.
62     res = parentOp;
63   }
64   return res;
65 }
66 
67 /// A helper for the mechanics of mlir::hoistAffineIfOp. Hoists `ifOp` just over
68 /// `hoistOverOp`. Returns the new hoisted op if any hoisting happened,
69 /// otherwise the same `ifOp`.
70 static AffineIfOp hoistAffineIfOp(AffineIfOp ifOp, Operation *hoistOverOp) {
71   // No hoisting to do.
72   if (hoistOverOp == ifOp)
73     return ifOp;
74 
75   // Create the hoisted 'if' first. Then, clone the op we are hoisting over for
76   // the else block. Then drop the else block of the original 'if' in the 'then'
77   // branch while promoting its then block, and analogously drop the 'then'
78   // block of the original 'if' from the 'else' branch while promoting its else
79   // block.
80   BlockAndValueMapping operandMap;
81   OpBuilder b(hoistOverOp);
82   auto hoistedIfOp = b.create<AffineIfOp>(ifOp.getLoc(), ifOp.getIntegerSet(),
83                                           ifOp.getOperands(),
84                                           /*elseBlock=*/true);
85 
86   // Create a clone of hoistOverOp to use for the else branch of the hoisted
87   // conditional. The else block may get optimized away if empty.
88   Operation *hoistOverOpClone = nullptr;
89   // We use this unique name to identify/find  `ifOp`'s clone in the else
90   // version.
91   Identifier idForIfOp = b.getIdentifier("__mlir_if_hoisting");
92   operandMap.clear();
93   b.setInsertionPointAfter(hoistOverOp);
94   // We'll set an attribute to identify this op in a clone of this sub-tree.
95   ifOp->setAttr(idForIfOp, b.getBoolAttr(true));
96   hoistOverOpClone = b.clone(*hoistOverOp, operandMap);
97 
98   // Promote the 'then' block of the original affine.if in the then version.
99   promoteIfBlock(ifOp, /*elseBlock=*/false);
100 
101   // Move the then version to the hoisted if op's 'then' block.
102   auto *thenBlock = hoistedIfOp.getThenBlock();
103   thenBlock->getOperations().splice(thenBlock->begin(),
104                                     hoistOverOp->getBlock()->getOperations(),
105                                     Block::iterator(hoistOverOp));
106 
107   // Find the clone of the original affine.if op in the else version.
108   AffineIfOp ifCloneInElse;
109   hoistOverOpClone->walk([&](AffineIfOp ifClone) {
110     if (!ifClone->getAttr(idForIfOp))
111       return WalkResult::advance();
112     ifCloneInElse = ifClone;
113     return WalkResult::interrupt();
114   });
115   assert(ifCloneInElse && "if op clone should exist");
116   // For the else block, promote the else block of the original 'if' if it had
117   // one; otherwise, the op itself is to be erased.
118   if (!ifCloneInElse.hasElse())
119     ifCloneInElse.erase();
120   else
121     promoteIfBlock(ifCloneInElse, /*elseBlock=*/true);
122 
123   // Move the else version into the else block of the hoisted if op.
124   auto *elseBlock = hoistedIfOp.getElseBlock();
125   elseBlock->getOperations().splice(
126       elseBlock->begin(), hoistOverOpClone->getBlock()->getOperations(),
127       Block::iterator(hoistOverOpClone));
128 
129   return hoistedIfOp;
130 }
131 
132 LogicalResult
133 mlir::affineParallelize(AffineForOp forOp,
134                         ArrayRef<LoopReduction> parallelReductions) {
135   // Fail early if there are iter arguments that are not reductions.
136   unsigned numReductions = parallelReductions.size();
137   if (numReductions != forOp.getNumIterOperands())
138     return failure();
139 
140   Location loc = forOp.getLoc();
141   OpBuilder outsideBuilder(forOp);
142   AffineMap lowerBoundMap = forOp.getLowerBoundMap();
143   ValueRange lowerBoundOperands = forOp.getLowerBoundOperands();
144   AffineMap upperBoundMap = forOp.getUpperBoundMap();
145   ValueRange upperBoundOperands = forOp.getUpperBoundOperands();
146 
147   // Creating empty 1-D affine.parallel op.
148   auto reducedValues = llvm::to_vector<4>(llvm::map_range(
149       parallelReductions, [](const LoopReduction &red) { return red.value; }));
150   auto reductionKinds = llvm::to_vector<4>(llvm::map_range(
151       parallelReductions, [](const LoopReduction &red) { return red.kind; }));
152   AffineParallelOp newPloop = outsideBuilder.create<AffineParallelOp>(
153       loc, ValueRange(reducedValues).getTypes(), reductionKinds,
154       llvm::makeArrayRef(lowerBoundMap), lowerBoundOperands,
155       llvm::makeArrayRef(upperBoundMap), upperBoundOperands,
156       llvm::makeArrayRef(forOp.getStep()));
157   // Steal the body of the old affine for op.
158   newPloop.region().takeBody(forOp.region());
159   Operation *yieldOp = &newPloop.getBody()->back();
160 
161   // Handle the initial values of reductions because the parallel loop always
162   // starts from the neutral value.
163   SmallVector<Value> newResults;
164   newResults.reserve(numReductions);
165   for (unsigned i = 0; i < numReductions; ++i) {
166     Value init = forOp.getIterOperands()[i];
167     // This works because we are only handling single-op reductions at the
168     // moment. A switch on reduction kind or a mechanism to collect operations
169     // participating in the reduction will be necessary for multi-op reductions.
170     Operation *reductionOp = yieldOp->getOperand(i).getDefiningOp();
171     assert(reductionOp && "yielded value is expected to be produced by an op");
172     outsideBuilder.getInsertionBlock()->getOperations().splice(
173         outsideBuilder.getInsertionPoint(), newPloop.getBody()->getOperations(),
174         reductionOp);
175     reductionOp->setOperands({init, newPloop->getResult(i)});
176     forOp->getResult(i).replaceAllUsesWith(reductionOp->getResult(0));
177   }
178 
179   // Update the loop terminator to yield reduced values bypassing the reduction
180   // operation itself (now moved outside of the loop) and erase the block
181   // arguments that correspond to reductions. Note that the loop always has one
182   // "main" induction variable whenc coming from a non-parallel for.
183   unsigned numIVs = 1;
184   yieldOp->setOperands(reducedValues);
185   newPloop.getBody()->eraseArguments(
186       llvm::to_vector<4>(llvm::seq<unsigned>(numIVs, numReductions + numIVs)));
187 
188   forOp.erase();
189   return success();
190 }
191 
192 // Returns success if any hoisting happened.
193 LogicalResult mlir::hoistAffineIfOp(AffineIfOp ifOp, bool *folded) {
194   // Bail out early if the ifOp returns a result.  TODO: Consider how to
195   // properly support this case.
196   if (ifOp.getNumResults() != 0)
197     return failure();
198 
199   // Apply canonicalization patterns and folding - this is necessary for the
200   // hoisting check to be correct (operands should be composed), and to be more
201   // effective (no unused operands). Since the pattern rewriter's folding is
202   // entangled with application of patterns, we may fold/end up erasing the op,
203   // in which case we return with `folded` being set.
204   RewritePatternSet patterns(ifOp.getContext());
205   AffineIfOp::getCanonicalizationPatterns(patterns, ifOp.getContext());
206   bool erased;
207   FrozenRewritePatternSet frozenPatterns(std::move(patterns));
208   (void)applyOpPatternsAndFold(ifOp, frozenPatterns, &erased);
209   if (erased) {
210     if (folded)
211       *folded = true;
212     return failure();
213   }
214   if (folded)
215     *folded = false;
216 
217   // The folding above should have ensured this, but the affine.if's
218   // canonicalization is missing composition of affine.applys into it.
219   assert(llvm::all_of(ifOp.getOperands(),
220                       [](Value v) {
221                         return isTopLevelValue(v) || isForInductionVar(v);
222                       }) &&
223          "operands not composed");
224 
225   // We are going hoist as high as possible.
226   // TODO: this could be customized in the future.
227   auto *hoistOverOp = getOutermostInvariantForOp(ifOp);
228 
229   AffineIfOp hoistedIfOp = ::hoistAffineIfOp(ifOp, hoistOverOp);
230   // Nothing to hoist over.
231   if (hoistedIfOp == ifOp)
232     return failure();
233 
234   // Canonicalize to remove dead else blocks (happens whenever an 'if' moves up
235   // a sequence of affine.fors that are all perfectly nested).
236   (void)applyPatternsAndFoldGreedily(
237       hoistedIfOp->getParentWithTrait<OpTrait::IsIsolatedFromAbove>(),
238       frozenPatterns);
239 
240   return success();
241 }
242 
243 // Return the min expr after replacing the given dim.
244 AffineExpr mlir::substWithMin(AffineExpr e, AffineExpr dim, AffineExpr min,
245                               AffineExpr max, bool positivePath) {
246   if (e == dim)
247     return positivePath ? min : max;
248   if (auto bin = e.dyn_cast<AffineBinaryOpExpr>()) {
249     AffineExpr lhs = bin.getLHS();
250     AffineExpr rhs = bin.getRHS();
251     if (bin.getKind() == mlir::AffineExprKind::Add)
252       return substWithMin(lhs, dim, min, max, positivePath) +
253              substWithMin(rhs, dim, min, max, positivePath);
254 
255     auto c1 = bin.getLHS().dyn_cast<AffineConstantExpr>();
256     auto c2 = bin.getRHS().dyn_cast<AffineConstantExpr>();
257     if (c1 && c1.getValue() < 0)
258       return getAffineBinaryOpExpr(
259           bin.getKind(), c1, substWithMin(rhs, dim, min, max, !positivePath));
260     if (c2 && c2.getValue() < 0)
261       return getAffineBinaryOpExpr(
262           bin.getKind(), substWithMin(lhs, dim, min, max, !positivePath), c2);
263     return getAffineBinaryOpExpr(
264         bin.getKind(), substWithMin(lhs, dim, min, max, positivePath),
265         substWithMin(rhs, dim, min, max, positivePath));
266   }
267   return e;
268 }
269 
270 void mlir::normalizeAffineParallel(AffineParallelOp op) {
271   // Loops with min/max in bounds are not normalized at the moment.
272   if (op.hasMinMaxBounds())
273     return;
274 
275   AffineMap lbMap = op.lowerBoundsMap();
276   SmallVector<int64_t, 8> steps = op.getSteps();
277   // No need to do any work if the parallel op is already normalized.
278   bool isAlreadyNormalized =
279       llvm::all_of(llvm::zip(steps, lbMap.getResults()), [](auto tuple) {
280         int64_t step = std::get<0>(tuple);
281         auto lbExpr =
282             std::get<1>(tuple).template dyn_cast<AffineConstantExpr>();
283         return lbExpr && lbExpr.getValue() == 0 && step == 1;
284       });
285   if (isAlreadyNormalized)
286     return;
287 
288   AffineValueMap ranges;
289   AffineValueMap::difference(op.getUpperBoundsValueMap(),
290                              op.getLowerBoundsValueMap(), &ranges);
291   auto builder = OpBuilder::atBlockBegin(op.getBody());
292   auto zeroExpr = builder.getAffineConstantExpr(0);
293   SmallVector<AffineExpr, 8> lbExprs;
294   SmallVector<AffineExpr, 8> ubExprs;
295   for (unsigned i = 0, e = steps.size(); i < e; ++i) {
296     int64_t step = steps[i];
297 
298     // Adjust the lower bound to be 0.
299     lbExprs.push_back(zeroExpr);
300 
301     // Adjust the upper bound expression: 'range / step'.
302     AffineExpr ubExpr = ranges.getResult(i).ceilDiv(step);
303     ubExprs.push_back(ubExpr);
304 
305     // Adjust the corresponding IV: 'lb + i * step'.
306     BlockArgument iv = op.getBody()->getArgument(i);
307     AffineExpr lbExpr = lbMap.getResult(i);
308     unsigned nDims = lbMap.getNumDims();
309     auto expr = lbExpr + builder.getAffineDimExpr(nDims) * step;
310     auto map = AffineMap::get(/*dimCount=*/nDims + 1,
311                               /*symbolCount=*/lbMap.getNumSymbols(), expr);
312 
313     // Use an 'affine.apply' op that will be simplified later in subsequent
314     // canonicalizations.
315     OperandRange lbOperands = op.getLowerBoundsOperands();
316     OperandRange dimOperands = lbOperands.take_front(nDims);
317     OperandRange symbolOperands = lbOperands.drop_front(nDims);
318     SmallVector<Value, 8> applyOperands{dimOperands};
319     applyOperands.push_back(iv);
320     applyOperands.append(symbolOperands.begin(), symbolOperands.end());
321     auto apply = builder.create<AffineApplyOp>(op.getLoc(), map, applyOperands);
322     iv.replaceAllUsesExcept(apply, apply);
323   }
324 
325   SmallVector<int64_t, 8> newSteps(op.getNumDims(), 1);
326   op.setSteps(newSteps);
327   auto newLowerMap = AffineMap::get(
328       /*dimCount=*/0, /*symbolCount=*/0, lbExprs, op.getContext());
329   op.setLowerBounds({}, newLowerMap);
330   auto newUpperMap = AffineMap::get(ranges.getNumDims(), ranges.getNumSymbols(),
331                                     ubExprs, op.getContext());
332   op.setUpperBounds(ranges.getOperands(), newUpperMap);
333 }
334 
335 /// Normalizes affine.for ops. If the affine.for op has only a single iteration
336 /// only then it is simply promoted, else it is normalized in the traditional
337 /// way, by converting the lower bound to zero and loop step to one. The upper
338 /// bound is set to the trip count of the loop. For now, original loops must
339 /// have lower bound with a single result only. There is no such restriction on
340 /// upper bounds.
341 void mlir::normalizeAffineFor(AffineForOp op) {
342   if (succeeded(promoteIfSingleIteration(op)))
343     return;
344 
345   // Check if the forop is already normalized.
346   if (op.hasConstantLowerBound() && (op.getConstantLowerBound() == 0) &&
347       (op.getStep() == 1))
348     return;
349 
350   // Check if the lower bound has a single result only. Loops with a max lower
351   // bound can't be normalized without additional support like
352   // affine.execute_region's. If the lower bound does not have a single result
353   // then skip this op.
354   if (op.getLowerBoundMap().getNumResults() != 1)
355     return;
356 
357   Location loc = op.getLoc();
358   OpBuilder opBuilder(op);
359   int64_t origLoopStep = op.getStep();
360 
361   // Calculate upperBound for normalized loop.
362   SmallVector<Value, 4> ubOperands;
363   AffineBound lb = op.getLowerBound();
364   AffineBound ub = op.getUpperBound();
365   ubOperands.reserve(ub.getNumOperands() + lb.getNumOperands());
366   AffineMap origLbMap = lb.getMap();
367   AffineMap origUbMap = ub.getMap();
368 
369   // Add dimension operands from upper/lower bound.
370   for (unsigned j = 0, e = origUbMap.getNumDims(); j < e; ++j)
371     ubOperands.push_back(ub.getOperand(j));
372   for (unsigned j = 0, e = origLbMap.getNumDims(); j < e; ++j)
373     ubOperands.push_back(lb.getOperand(j));
374 
375   // Add symbol operands from upper/lower bound.
376   for (unsigned j = 0, e = origUbMap.getNumSymbols(); j < e; ++j)
377     ubOperands.push_back(ub.getOperand(origUbMap.getNumDims() + j));
378   for (unsigned j = 0, e = origLbMap.getNumSymbols(); j < e; ++j)
379     ubOperands.push_back(lb.getOperand(origLbMap.getNumDims() + j));
380 
381   // Add original result expressions from lower/upper bound map.
382   SmallVector<AffineExpr, 1> origLbExprs(origLbMap.getResults().begin(),
383                                          origLbMap.getResults().end());
384   SmallVector<AffineExpr, 2> origUbExprs(origUbMap.getResults().begin(),
385                                          origUbMap.getResults().end());
386   SmallVector<AffineExpr, 4> newUbExprs;
387 
388   // The original upperBound can have more than one result. For the new
389   // upperBound of this loop, take difference of all possible combinations of
390   // the ub results and lb result and ceildiv with the loop step. For e.g.,
391   //
392   //  affine.for %i1 = 0 to min affine_map<(d0)[] -> (d0 + 32, 1024)>(%i0)
393   //  will have an upperBound map as,
394   //  affine_map<(d0)[] -> (((d0 + 32) - 0) ceildiv 1, (1024 - 0) ceildiv
395   //  1)>(%i0)
396   //
397   // Insert all combinations of upper/lower bound results.
398   for (unsigned i = 0, e = origUbExprs.size(); i < e; ++i) {
399     newUbExprs.push_back(
400         (origUbExprs[i] - origLbExprs[0]).ceilDiv(origLoopStep));
401   }
402 
403   // Construct newUbMap.
404   AffineMap newUbMap =
405       AffineMap::get(origLbMap.getNumDims() + origUbMap.getNumDims(),
406                      origLbMap.getNumSymbols() + origUbMap.getNumSymbols(),
407                      newUbExprs, opBuilder.getContext());
408 
409   // Normalize the loop.
410   op.setUpperBound(ubOperands, newUbMap);
411   op.setLowerBound({}, opBuilder.getConstantAffineMap(0));
412   op.setStep(1);
413 
414   // Calculate the Value of new loopIV. Create affine.apply for the value of
415   // the loopIV in normalized loop.
416   opBuilder.setInsertionPointToStart(op.getBody());
417   SmallVector<Value, 4> lbOperands(lb.getOperands().begin(),
418                                    lb.getOperands().begin() +
419                                        lb.getMap().getNumDims());
420   // Add an extra dim operand for loopIV.
421   lbOperands.push_back(op.getInductionVar());
422   // Add symbol operands from lower bound.
423   for (unsigned j = 0, e = origLbMap.getNumSymbols(); j < e; ++j)
424     lbOperands.push_back(lb.getOperand(origLbMap.getNumDims() + j));
425 
426   AffineExpr origIVExpr = opBuilder.getAffineDimExpr(lb.getMap().getNumDims());
427   AffineExpr newIVExpr = origIVExpr * origLoopStep + origLbMap.getResult(0);
428   AffineMap ivMap = AffineMap::get(origLbMap.getNumDims() + 1,
429                                    origLbMap.getNumSymbols(), newIVExpr);
430   Operation *newIV = opBuilder.create<AffineApplyOp>(loc, ivMap, lbOperands);
431   op.getInductionVar().replaceAllUsesExcept(newIV->getResult(0), newIV);
432 }
433