1 //===- AffineAnalysis.h - analyses for affine structures --------*- C++ -*-===//
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 header file defines prototypes for methods that perform analysis
10 // involving affine structures (AffineExprStorage, AffineMap, IntegerSet, etc.)
11 // and other IR structures that in turn use these.
12 //
13 //===----------------------------------------------------------------------===//
14 
15 #ifndef MLIR_DIALECT_AFFINE_ANALYSIS_AFFINEANALYSIS_H
16 #define MLIR_DIALECT_AFFINE_ANALYSIS_AFFINEANALYSIS_H
17 
18 #include "mlir/Dialect/Arithmetic/IR/Arithmetic.h"
19 #include "mlir/IR/Value.h"
20 #include "llvm/ADT/Optional.h"
21 #include "llvm/ADT/SmallVector.h"
22 
23 namespace mlir {
24 
25 class AffineApplyOp;
26 class AffineForOp;
27 class AffineValueMap;
28 class FlatAffineRelation;
29 class FlatAffineValueConstraints;
30 class Operation;
31 
32 /// A description of a (parallelizable) reduction in an affine loop.
33 struct LoopReduction {
34   /// Reduction kind.
35   arith::AtomicRMWKind kind;
36 
37   /// Position of the iteration argument that acts as accumulator.
38   unsigned iterArgPosition;
39 
40   /// The value being reduced.
41   Value value;
42 };
43 
44 /// Populate `supportedReductions` with descriptors of the supported reductions.
45 void getSupportedReductions(
46     AffineForOp forOp, SmallVectorImpl<LoopReduction> &supportedReductions);
47 
48 /// Returns true if `forOp' is a parallel loop. If `parallelReductions` is
49 /// provided, populates it with descriptors of the parallelizable reductions and
50 /// treats them as not preventing parallelization.
51 bool isLoopParallel(
52     AffineForOp forOp,
53     SmallVectorImpl<LoopReduction> *parallelReductions = nullptr);
54 
55 /// Returns true if `forOp' doesn't have memory dependences preventing
56 /// parallelization. Memrefs that are allocated inside `forOp` do not impact its
57 /// dependences and parallelism. This function does not check iter_args (for
58 /// values other than memref types) and should be used only as a building block
59 /// for complete parallelism-checking functions.
60 bool isLoopMemoryParallel(AffineForOp forOp);
61 
62 /// Returns in `affineApplyOps`, the sequence of those AffineApplyOp
63 /// Operations that are reachable via a search starting from `operands` and
64 /// ending at those operands that are not the result of an AffineApplyOp.
65 void getReachableAffineApplyOps(ArrayRef<Value> operands,
66                                 SmallVectorImpl<Operation *> &affineApplyOps);
67 
68 /// Builds a system of constraints with dimensional variables corresponding to
69 /// the loop IVs of the forOps and AffineIfOp's operands appearing in
70 /// that order. Bounds of the loop are used to add appropriate inequalities.
71 /// Constraints from the index sets of AffineIfOp are also added. Any symbols
72 /// founds in the bound operands are added as symbols in the system. Returns
73 /// failure for the yet unimplemented cases. `ops` accepts both AffineForOp and
74 /// AffineIfOp.
75 //  TODO: handle non-unit strides.
76 LogicalResult getIndexSet(MutableArrayRef<Operation *> ops,
77                           FlatAffineValueConstraints *domain);
78 
79 /// Encapsulates a memref load or store access information.
80 struct MemRefAccess {
81   Value memref;
82   Operation *opInst;
83   SmallVector<Value, 4> indices;
84 
85   /// Constructs a MemRefAccess from a load or store operation.
86   // TODO: add accessors to standard op's load, store, DMA op's to return
87   // MemRefAccess, i.e., loadOp->getAccess(), dmaOp->getRead/WriteAccess.
88   explicit MemRefAccess(Operation *opInst);
89 
90   // Returns the rank of the memref associated with this access.
91   unsigned getRank() const;
92   // Returns true if this access is of a store op.
93   bool isStore() const;
94 
95   /// Creates an access relation for the access. An access relation maps
96   /// elements of an iteration domain to the element(s) of an array domain
97   /// accessed by that iteration of the associated statement through some array
98   /// reference. For example, given the MLIR code:
99   ///
100   /// affine.for %i0 = 0 to 10 {
101   ///   affine.for %i1 = 0 to 10 {
102   ///     %a = affine.load %arr[%i0 + %i1, %i0 + 2 * %i1] : memref<100x100xf32>
103   ///   }
104   /// }
105   ///
106   /// The access relation, assuming that the memory locations for %arr are
107   /// represented as %m0, %m1 would be:
108   ///
109   ///   (%i0, %i1) -> (%m0, %m1)
110   ///   %m0 = %i0 + %i1
111   ///   %m1 = %i0 + 2 * %i1
112   ///   0  <= %i0 < 10
113   ///   0  <= %i1 < 10
114   ///
115   /// Returns failure for yet unimplemented/unsupported cases (see docs of
116   /// mlir::getIndexSet and mlir::getRelationFromMap for these cases).
117   LogicalResult getAccessRelation(FlatAffineRelation &accessRel) const;
118 
119   /// Populates 'accessMap' with composition of AffineApplyOps reachable from
120   /// 'indices'.
121   void getAccessMap(AffineValueMap *accessMap) const;
122 
123   /// Equal if both affine accesses can be proved to be equivalent at compile
124   /// time (considering the memrefs, their respective affine access maps  and
125   /// operands). The equality of access functions + operands is checked by
126   /// subtracting fully composed value maps, and then simplifying the difference
127   /// using the expression flattener.
128   /// TODO: this does not account for aliasing of memrefs.
129   bool operator==(const MemRefAccess &rhs) const;
130   bool operator!=(const MemRefAccess &rhs) const { return !(*this == rhs); }
131 };
132 
133 // DependenceComponent contains state about the direction of a dependence as an
134 // interval [lb, ub] for an AffineForOp.
135 // Distance vectors components are represented by the interval [lb, ub] with
136 // lb == ub.
137 // Direction vectors components are represented by the interval [lb, ub] with
138 // lb < ub. Note that ub/lb == None means unbounded.
139 struct DependenceComponent {
140   // The AffineForOp Operation associated with this dependence component.
141   Operation *op = nullptr;
142   // The lower bound of the dependence distance.
143   Optional<int64_t> lb;
144   // The upper bound of the dependence distance (inclusive).
145   Optional<int64_t> ub;
DependenceComponentDependenceComponent146   DependenceComponent() : lb(llvm::None), ub(llvm::None) {}
147 };
148 
149 /// Checks whether two accesses to the same memref access the same element.
150 /// Each access is specified using the MemRefAccess structure, which contains
151 /// the operation, indices and memref associated with the access. Returns
152 /// 'NoDependence' if it can be determined conclusively that the accesses do not
153 /// access the same memref element. If 'allowRAR' is true, will consider
154 /// read-after-read dependences (typically used by applications trying to
155 /// optimize input reuse).
156 // TODO: Wrap 'dependenceConstraints' and 'dependenceComponents' into a single
157 // struct.
158 // TODO: Make 'dependenceConstraints' optional arg.
159 struct DependenceResult {
160   enum ResultEnum {
161     HasDependence, // A dependence exists between 'srcAccess' and 'dstAccess'.
162     NoDependence,  // No dependence exists between 'srcAccess' and 'dstAccess'.
163     Failure,       // Dependence check failed due to unsupported cases.
164   } value;
DependenceResultDependenceResult165   DependenceResult(ResultEnum v) : value(v) {}
166 };
167 
168 DependenceResult checkMemrefAccessDependence(
169     const MemRefAccess &srcAccess, const MemRefAccess &dstAccess,
170     unsigned loopDepth, FlatAffineValueConstraints *dependenceConstraints,
171     SmallVector<DependenceComponent, 2> *dependenceComponents,
172     bool allowRAR = false);
173 
174 /// Utility function that returns true if the provided DependenceResult
175 /// corresponds to a dependence result.
hasDependence(DependenceResult result)176 inline bool hasDependence(DependenceResult result) {
177   return result.value == DependenceResult::HasDependence;
178 }
179 
180 /// Returns in 'depCompsVec', dependence components for dependences between all
181 /// load and store ops in loop nest rooted at 'forOp', at loop depths in range
182 /// [1, maxLoopDepth].
183 void getDependenceComponents(
184     AffineForOp forOp, unsigned maxLoopDepth,
185     std::vector<SmallVector<DependenceComponent, 2>> *depCompsVec);
186 
187 } // namespace mlir
188 
189 #endif // MLIR_DIALECT_AFFINE_ANALYSIS_AFFINEANALYSIS_H
190