//===- LoopUtils.cpp ---- Misc utilities for loop transformation ----------===// // // Copyright 2019 The MLIR Authors. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. // ============================================================================= // // This file implements miscellaneous loop transformation routines. // //===----------------------------------------------------------------------===// #include "mlir/Transforms/LoopUtils.h" #include "mlir/Analysis/LoopAnalysis.h" #include "mlir/IR/AffineExpr.h" #include "mlir/IR/AffineMap.h" #include "mlir/IR/Builders.h" #include "mlir/IR/BuiltinOps.h" #include "mlir/IR/Statements.h" #include "mlir/IR/StmtVisitor.h" #include "mlir/StandardOps/StandardOps.h" #include "llvm/ADT/DenseMap.h" #include "llvm/Support/Debug.h" #define DEBUG_TYPE "LoopUtils" using namespace mlir; /// Returns the upper bound of an unrolled loop with lower bound 'lb' and with /// the specified trip count, stride, and unroll factor. Returns nullptr when /// the trip count can't be expressed as an affine expression. AffineMap mlir::getUnrolledLoopUpperBound(const ForStmt &forStmt, unsigned unrollFactor, MLFuncBuilder *builder) { auto lbMap = forStmt.getLowerBoundMap(); // Single result lower bound map only. if (lbMap.getNumResults() != 1) return AffineMap::Null(); // Sometimes, the trip count cannot be expressed as an affine expression. auto tripCount = getTripCountExpr(forStmt); if (!tripCount) return AffineMap::Null(); AffineExpr lb(lbMap.getResult(0)); unsigned step = forStmt.getStep(); auto newUb = lb + (tripCount - tripCount % unrollFactor - 1) * step; return builder->getAffineMap(lbMap.getNumDims(), lbMap.getNumSymbols(), {newUb}, {}); } /// Returns the lower bound of the cleanup loop when unrolling a loop with lower /// bound 'lb' and with the specified trip count, stride, and unroll factor. /// Returns an AffinMap with nullptr storage (that evaluates to false) /// when the trip count can't be expressed as an affine expression. AffineMap mlir::getCleanupLoopLowerBound(const ForStmt &forStmt, unsigned unrollFactor, MLFuncBuilder *builder) { auto lbMap = forStmt.getLowerBoundMap(); // Single result lower bound map only. if (lbMap.getNumResults() != 1) return AffineMap::Null(); // Sometimes the trip count cannot be expressed as an affine expression. AffineExpr tripCount(getTripCountExpr(forStmt)); if (!tripCount) return AffineMap::Null(); AffineExpr lb(lbMap.getResult(0)); unsigned step = forStmt.getStep(); auto newLb = lb + (tripCount - tripCount % unrollFactor) * step; return builder->getAffineMap(lbMap.getNumDims(), lbMap.getNumSymbols(), {newLb}, {}); } /// Promotes the loop body of a forStmt to its containing block if the forStmt /// was known to have a single iteration. Returns false otherwise. // TODO(bondhugula): extend this for arbitrary affine bounds. bool mlir::promoteIfSingleIteration(ForStmt *forStmt) { Optional tripCount = getConstantTripCount(*forStmt); if (!tripCount.hasValue() || tripCount.getValue() != 1) return false; // TODO(mlir-team): there is no builder for a max. if (forStmt->getLowerBoundMap().getNumResults() != 1) return false; // Replaces all IV uses to its single iteration value. if (!forStmt->use_empty()) { if (forStmt->hasConstantLowerBound()) { auto *mlFunc = forStmt->findFunction(); MLFuncBuilder topBuilder(&mlFunc->getBody()->front()); auto constOp = topBuilder.create( forStmt->getLoc(), forStmt->getConstantLowerBound()); forStmt->replaceAllUsesWith(constOp); } else { const AffineBound lb = forStmt->getLowerBound(); SmallVector lbOperands(lb.operand_begin(), lb.operand_end()); MLFuncBuilder builder(forStmt->getBlock(), StmtBlock::iterator(forStmt)); auto affineApplyOp = builder.create( forStmt->getLoc(), lb.getMap(), lbOperands); forStmt->replaceAllUsesWith(affineApplyOp->getResult(0)); } } // Move the loop body statements to the loop's containing block. auto *block = forStmt->getBlock(); block->getStatements().splice(StmtBlock::iterator(forStmt), forStmt->getBody()->getStatements()); forStmt->erase(); return true; } /// Promotes all single iteration for stmt's in the MLFunction, i.e., moves /// their body into the containing StmtBlock. void mlir::promoteSingleIterationLoops(MLFunction *f) { // Gathers all innermost loops through a post order pruned walk. class LoopBodyPromoter : public StmtWalker { public: void visitForStmt(ForStmt *forStmt) { promoteIfSingleIteration(forStmt); } }; LoopBodyPromoter fsw; fsw.walkPostOrder(f); } /// Generates a 'for' stmt with the specified lower and upper bounds while /// generating the right IV remappings for the shifted statements. The /// statement blocks that go into the loop are specified in stmtGroupQueue /// starting from the specified offset, and in that order; the first element of /// the pair specifies the shift applied to that group of statements; note that /// the shift is multiplied by the loop step before being applied. Returns /// nullptr if the generated loop simplifies to a single iteration one. static ForStmt * generateLoop(AffineMap lbMap, AffineMap ubMap, const std::vector>> &stmtGroupQueue, unsigned offset, ForStmt *srcForStmt, MLFuncBuilder *b) { SmallVector lbOperands(srcForStmt->getLowerBoundOperands()); SmallVector ubOperands(srcForStmt->getUpperBoundOperands()); assert(lbMap.getNumInputs() == lbOperands.size()); assert(ubMap.getNumInputs() == ubOperands.size()); auto *loopChunk = b->createFor(srcForStmt->getLoc(), lbOperands, lbMap, ubOperands, ubMap, srcForStmt->getStep()); OperationStmt::OperandMapTy operandMap; for (auto it = stmtGroupQueue.begin() + offset, e = stmtGroupQueue.end(); it != e; ++it) { uint64_t shift = it->first; auto stmts = it->second; // All 'same shift' statements get added with their operands being remapped // to results of cloned statements, and their IV used remapped. // Generate the remapping if the shift is not zero: remappedIV = newIV - // shift. if (!srcForStmt->use_empty() && shift != 0) { auto b = MLFuncBuilder::getForStmtBodyBuilder(loopChunk); auto *ivRemap = b.create( srcForStmt->getLoc(), b.getSingleDimShiftAffineMap(-static_cast( srcForStmt->getStep() * shift)), loopChunk) ->getResult(0); operandMap[srcForStmt] = cast(ivRemap); } else { operandMap[srcForStmt] = loopChunk; } for (auto *stmt : stmts) { loopChunk->getBody()->push_back(stmt->clone(operandMap, b->getContext())); } } if (promoteIfSingleIteration(loopChunk)) return nullptr; return loopChunk; } /// Skew the statements in the body of a 'for' statement with the specified /// statement-wise shifts. The shifts are with respect to the original execution /// order, and are multiplied by the loop 'step' before being applied. A shift /// of zero for each statement will lead to no change. // The skewing of statements with respect to one another can be used for example // to allow overlap of asynchronous operations (such as DMA communication) with // computation, or just relative shifting of statements for better register // reuse, locality or parallelism. As such, the shifts are typically expected to // be at most of the order of the number of statements. This method should not // be used as a substitute for loop distribution/fission. // This method uses an algorithm// in time linear in the number of statements in // the body of the for loop - (using the 'sweep line' paradigm). This method // asserts preservation of SSA dominance. A check for that as well as that for // memory-based depedence preservation check rests with the users of this // method. UtilResult mlir::stmtBodySkew(ForStmt *forStmt, ArrayRef shifts, bool unrollPrologueEpilogue) { if (forStmt->getBody()->empty()) return UtilResult::Success; // If the trip counts aren't constant, we would need versioning and // conditional guards (or context information to prevent such versioning). The // better way to pipeline for such loops is to first tile them and extract // constant trip count "full tiles" before applying this. auto mayBeConstTripCount = getConstantTripCount(*forStmt); if (!mayBeConstTripCount.hasValue()) { LLVM_DEBUG(llvm::dbgs() << "non-constant trip count loop\n";); return UtilResult::Success; } uint64_t tripCount = mayBeConstTripCount.getValue(); assert(isStmtwiseShiftValid(*forStmt, shifts) && "shifts will lead to an invalid transformation\n"); int64_t step = forStmt->getStep(); unsigned numChildStmts = forStmt->getBody()->getStatements().size(); // Do a linear time (counting) sort for the shifts. uint64_t maxShift = 0; for (unsigned i = 0; i < numChildStmts; i++) { maxShift = std::max(maxShift, shifts[i]); } // Such large shifts are not the typical use case. if (maxShift >= numChildStmts) { LLVM_DEBUG(llvm::dbgs() << "stmt shifts too large - unexpected\n";); return UtilResult::Success; } // An array of statement groups sorted by shift amount; each group has all // statements with the same shift in the order in which they appear in the // body of the 'for' stmt. std::vector> sortedStmtGroups(maxShift + 1); unsigned pos = 0; for (auto &stmt : *forStmt->getBody()) { auto shift = shifts[pos++]; sortedStmtGroups[shift].push_back(&stmt); } // Unless the shifts have a specific pattern (which actually would be the // common use case), prologue and epilogue are not meaningfully defined. // Nevertheless, if 'unrollPrologueEpilogue' is set, we will treat the first // loop generated as the prologue and the last as epilogue and unroll these // fully. ForStmt *prologue = nullptr; ForStmt *epilogue = nullptr; // Do a sweep over the sorted shifts while storing open groups in a // vector, and generating loop portions as necessary during the sweep. A block // of statements is paired with its shift. std::vector>> stmtGroupQueue; auto origLbMap = forStmt->getLowerBoundMap(); uint64_t lbShift = 0; MLFuncBuilder b(forStmt); for (uint64_t d = 0, e = sortedStmtGroups.size(); d < e; ++d) { // If nothing is shifted by d, continue. if (sortedStmtGroups[d].empty()) continue; if (!stmtGroupQueue.empty()) { assert(d >= 1 && "Queue expected to be empty when the first block is found"); // The interval for which the loop needs to be generated here is: // [lbShift, min(lbShift + tripCount, d)) and the body of the // loop needs to have all statements in stmtQueue in that order. ForStmt *res; if (lbShift + tripCount * step < d * step) { res = generateLoop( b.getShiftedAffineMap(origLbMap, lbShift), b.getShiftedAffineMap(origLbMap, lbShift + tripCount * step), stmtGroupQueue, 0, forStmt, &b); // Entire loop for the queued stmt groups generated, empty it. stmtGroupQueue.clear(); lbShift += tripCount * step; } else { res = generateLoop(b.getShiftedAffineMap(origLbMap, lbShift), b.getShiftedAffineMap(origLbMap, d), stmtGroupQueue, 0, forStmt, &b); lbShift = d * step; } if (!prologue && res) prologue = res; epilogue = res; } else { // Start of first interval. lbShift = d * step; } // Augment the list of statements that get into the current open interval. stmtGroupQueue.push_back({d, sortedStmtGroups[d]}); } // Those statements groups left in the queue now need to be processed (FIFO) // and their loops completed. for (unsigned i = 0, e = stmtGroupQueue.size(); i < e; ++i) { uint64_t ubShift = (stmtGroupQueue[i].first + tripCount) * step; epilogue = generateLoop(b.getShiftedAffineMap(origLbMap, lbShift), b.getShiftedAffineMap(origLbMap, ubShift), stmtGroupQueue, i, forStmt, &b); lbShift = ubShift; if (!prologue) prologue = epilogue; } // Erase the original for stmt. forStmt->erase(); if (unrollPrologueEpilogue && prologue) loopUnrollFull(prologue); if (unrollPrologueEpilogue && !epilogue && epilogue != prologue) loopUnrollFull(epilogue); return UtilResult::Success; } /// Unrolls this loop completely. bool mlir::loopUnrollFull(ForStmt *forStmt) { Optional mayBeConstantTripCount = getConstantTripCount(*forStmt); if (mayBeConstantTripCount.hasValue()) { uint64_t tripCount = mayBeConstantTripCount.getValue(); if (tripCount == 1) { return promoteIfSingleIteration(forStmt); } return loopUnrollByFactor(forStmt, tripCount); } return false; } /// Unrolls and jams this loop by the specified factor or by the trip count (if /// constant) whichever is lower. bool mlir::loopUnrollUpToFactor(ForStmt *forStmt, uint64_t unrollFactor) { Optional mayBeConstantTripCount = getConstantTripCount(*forStmt); if (mayBeConstantTripCount.hasValue() && mayBeConstantTripCount.getValue() < unrollFactor) return loopUnrollByFactor(forStmt, mayBeConstantTripCount.getValue()); return loopUnrollByFactor(forStmt, unrollFactor); } /// Unrolls this loop by the specified factor. Returns true if the loop /// is successfully unrolled. bool mlir::loopUnrollByFactor(ForStmt *forStmt, uint64_t unrollFactor) { assert(unrollFactor >= 1 && "unroll factor should be >= 1"); if (unrollFactor == 1 || forStmt->getBody()->empty()) return false; auto lbMap = forStmt->getLowerBoundMap(); auto ubMap = forStmt->getUpperBoundMap(); // Loops with max/min expressions won't be unrolled here (the output can't be // expressed as an MLFunction in the general case). However, the right way to // do such unrolling for an MLFunction would be to specialize the loop for the // 'hotspot' case and unroll that hotspot. if (lbMap.getNumResults() != 1 || ubMap.getNumResults() != 1) return false; // Same operand list for lower and upper bound for now. // TODO(bondhugula): handle bounds with different operand lists. if (!forStmt->matchingBoundOperandList()) return false; Optional mayBeConstantTripCount = getConstantTripCount(*forStmt); // If the trip count is lower than the unroll factor, no unrolled body. // TODO(bondhugula): option to specify cleanup loop unrolling. if (mayBeConstantTripCount.hasValue() && mayBeConstantTripCount.getValue() < unrollFactor) return false; // Generate the cleanup loop if trip count isn't a multiple of unrollFactor. if (getLargestDivisorOfTripCount(*forStmt) % unrollFactor != 0) { DenseMap operandMap; MLFuncBuilder builder(forStmt->getBlock(), ++StmtBlock::iterator(forStmt)); auto *cleanupForStmt = cast(builder.clone(*forStmt, operandMap)); auto clLbMap = getCleanupLoopLowerBound(*forStmt, unrollFactor, &builder); assert(clLbMap && "cleanup loop lower bound map for single result bound maps can " "always be determined"); cleanupForStmt->setLowerBoundMap(clLbMap); // Promote the loop body up if this has turned into a single iteration loop. promoteIfSingleIteration(cleanupForStmt); // Adjust upper bound. auto unrolledUbMap = getUnrolledLoopUpperBound(*forStmt, unrollFactor, &builder); assert(unrolledUbMap && "upper bound map can alwayys be determined for an unrolled loop " "with single result bounds"); forStmt->setUpperBoundMap(unrolledUbMap); } // Scale the step of loop being unrolled by unroll factor. int64_t step = forStmt->getStep(); forStmt->setStep(step * unrollFactor); // Builder to insert unrolled bodies right after the last statement in the // body of 'forStmt'. MLFuncBuilder builder(forStmt->getBody(), forStmt->getBody()->end()); // Keep a pointer to the last statement in the original block so that we know // what to clone (since we are doing this in-place). StmtBlock::iterator srcBlockEnd = std::prev(forStmt->getBody()->end()); // Unroll the contents of 'forStmt' (append unrollFactor-1 additional copies). for (unsigned i = 1; i < unrollFactor; i++) { DenseMap operandMap; // If the induction variable is used, create a remapping to the value for // this unrolled instance. if (!forStmt->use_empty()) { // iv' = iv + 1/2/3...unrollFactor-1; auto d0 = builder.getAffineDimExpr(0); auto bumpMap = builder.getAffineMap(1, 0, {d0 + i * step}, {}); auto *ivUnroll = builder.create(forStmt->getLoc(), bumpMap, forStmt) ->getResult(0); operandMap[forStmt] = cast(ivUnroll); } // Clone the original body of 'forStmt'. for (auto it = forStmt->getBody()->begin(); it != std::next(srcBlockEnd); it++) { builder.clone(*it, operandMap); } } // Promote the loop body up if this has turned into a single iteration loop. promoteIfSingleIteration(forStmt); return true; }