1 //===------ polly/SCEVAffinator.h - Create isl expressions from SCEVs -----===//
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 // Create a polyhedral description for a SCEV value.
10 //
11 //===----------------------------------------------------------------------===//
12 
13 #ifndef POLLY_SCEV_AFFINATOR_H
14 #define POLLY_SCEV_AFFINATOR_H
15 
16 #include "polly/Support/ScopHelper.h"
17 #include "llvm/Analysis/ScalarEvolutionExpressions.h"
18 #include "isl/isl-noexceptions.h"
19 
20 namespace polly {
21 class Scop;
22 
23 /// The result type of the SCEVAffinator.
24 ///
25 /// The first element of the pair is the isl representation of the SCEV, the
26 /// second is the domain under which it is __invalid__.
27 typedef std::pair<isl::pw_aff, isl::set> PWACtx;
28 
29 /// Translate a SCEV to an isl::pw_aff and the domain on which it is invalid.
30 struct SCEVAffinator : public llvm::SCEVVisitor<SCEVAffinator, PWACtx> {
31 public:
32   SCEVAffinator(Scop *S, llvm::LoopInfo &LI);
33 
34   /// Translate a SCEV to an isl::pw_aff.
35   ///
36   /// @param E  he expression that is translated.
37   /// @param BB The block in which @p E is executed.
38   ///
39   /// @returns The isl representation of the SCEV @p E in @p Domain.
40   PWACtx getPwAff(const llvm::SCEV *E, llvm::BasicBlock *BB = nullptr,
41                   RecordedAssumptionsTy *RecordedAssumptions = nullptr);
42 
43   /// Take the assumption that @p PWAC is non-negative.
44   void takeNonNegativeAssumption(
45       PWACtx &PWAC, RecordedAssumptionsTy *RecordedAssumptions = nullptr);
46 
47   /// Interpret the PWA in @p PWAC as an unsigned value.
48   void interpretAsUnsigned(PWACtx &PWAC, unsigned Width);
49 
50   /// Check an <nsw> AddRec for the loop @p L is cached.
51   bool hasNSWAddRecForLoop(llvm::Loop *L) const;
52 
53   /// Return the LoopInfo used by thi object.
getLISCEVAffinator54   llvm::LoopInfo *getLI() const { return &LI; }
55 
56 private:
57   /// Key to identify cached expressions.
58   using CacheKey = std::pair<const llvm::SCEV *, llvm::BasicBlock *>;
59 
60   /// Map to remembered cached expressions.
61   llvm::DenseMap<CacheKey, PWACtx> CachedExpressions;
62 
63   Scop *S;
64   isl::ctx Ctx;
65   unsigned NumIterators;
66   llvm::ScalarEvolution &SE;
67   llvm::LoopInfo &LI;
68   llvm::BasicBlock *BB;
69   RecordedAssumptionsTy *RecordedAssumptions = nullptr;
70 
71   /// Target data for element size computing.
72   const llvm::DataLayout &TD;
73 
74   /// Return the loop for the current block if any.
75   llvm::Loop *getScope();
76 
77   /// Return a PWACtx for @p PWA that is always valid.
78   PWACtx getPWACtxFromPWA(isl::pw_aff PWA);
79 
80   /// Compute the non-wrapping version of @p PWA for type @p ExprType.
81   ///
82   /// @param PWA  The piece-wise affine function that might wrap.
83   /// @param Type The type of the SCEV that was translated to @p PWA.
84   ///
85   /// @returns The expr @p PWA modulo the size constraints of @p ExprType.
86   isl::pw_aff addModuloSemantic(isl::pw_aff PWA, llvm::Type *ExprType) const;
87 
88   /// If @p Expr might cause an integer wrap record an assumption.
89   ///
90   /// @param Expr The SCEV expression that might wrap.
91   /// @param PWAC The isl representation of @p Expr with the invalid domain.
92   ///
93   /// @returns The isl representation @p PWAC with a possibly adjusted domain.
94   PWACtx checkForWrapping(const llvm::SCEV *Expr, PWACtx PWAC) const;
95 
96   /// Whether to track the value of this expression precisely, rather than
97   /// assuming it won't wrap.
98   bool computeModuloForExpr(const llvm::SCEV *Expr);
99 
100   PWACtx visit(const llvm::SCEV *E);
101   PWACtx visitConstant(const llvm::SCEVConstant *E);
102   PWACtx visitPtrToIntExpr(const llvm::SCEVPtrToIntExpr *E);
103   PWACtx visitTruncateExpr(const llvm::SCEVTruncateExpr *E);
104   PWACtx visitZeroExtendExpr(const llvm::SCEVZeroExtendExpr *E);
105   PWACtx visitSignExtendExpr(const llvm::SCEVSignExtendExpr *E);
106   PWACtx visitAddExpr(const llvm::SCEVAddExpr *E);
107   PWACtx visitMulExpr(const llvm::SCEVMulExpr *E);
108   PWACtx visitUDivExpr(const llvm::SCEVUDivExpr *E);
109   PWACtx visitAddRecExpr(const llvm::SCEVAddRecExpr *E);
110   PWACtx visitSMaxExpr(const llvm::SCEVSMaxExpr *E);
111   PWACtx visitSMinExpr(const llvm::SCEVSMinExpr *E);
112   PWACtx visitUMaxExpr(const llvm::SCEVUMaxExpr *E);
113   PWACtx visitUMinExpr(const llvm::SCEVUMinExpr *E);
114   PWACtx visitUnknown(const llvm::SCEVUnknown *E);
115   PWACtx visitSDivInstruction(llvm::Instruction *SDiv);
116   PWACtx visitSRemInstruction(llvm::Instruction *SRem);
117   PWACtx complexityBailout();
118 
119   friend struct llvm::SCEVVisitor<SCEVAffinator, PWACtx>;
120 };
121 } // namespace polly
122 
123 #endif
124