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  1. //===------ ZoneAlgo.h ------------------------------------------*- 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. // Derive information about array elements between statements ("Zones").
  10. //
  11. //===----------------------------------------------------------------------===//
  12.  
  13. #ifndef POLLY_ZONEALGO_H
  14. #define POLLY_ZONEALGO_H
  15.  
  16. #include "llvm/ADT/DenseMap.h"
  17. #include "llvm/ADT/DenseSet.h"
  18. #include "llvm/ADT/SmallPtrSet.h"
  19. #include "isl/isl-noexceptions.h"
  20. #include <memory>
  21.  
  22. namespace llvm {
  23. class Value;
  24. class LoopInfo;
  25. class Loop;
  26. class PHINode;
  27. class raw_ostream;
  28. } // namespace llvm
  29.  
  30. namespace polly {
  31. class Scop;
  32. class ScopStmt;
  33. class MemoryAccess;
  34. class ScopArrayInfo;
  35.  
  36. /// Return only the mappings that map to known values.
  37. ///
  38. /// @param UMap { [] -> ValInst[] }
  39. ///
  40. /// @return { [] -> ValInst[] }
  41. isl::union_map filterKnownValInst(const isl::union_map &UMap);
  42.  
  43. /// Base class for algorithms based on zones, like DeLICM.
  44. class ZoneAlgorithm {
  45. protected:
  46.   /// The name of the pass this is used from. Used for optimization remarks.
  47.   const char *PassName;
  48.  
  49.   /// Hold a reference to the isl_ctx to avoid it being freed before we released
  50.   /// all of the isl objects.
  51.   ///
  52.   /// This must be declared before any other member that holds an isl object.
  53.   /// This guarantees that the shared_ptr and its isl_ctx is destructed last,
  54.   /// after all other members free'd the isl objects they were holding.
  55.   std::shared_ptr<isl_ctx> IslCtx;
  56.  
  57.   /// Cached reaching definitions for each ScopStmt.
  58.   ///
  59.   /// Use getScalarReachingDefinition() to get its contents.
  60.   llvm::DenseMap<ScopStmt *, isl::map> ScalarReachDefZone;
  61.  
  62.   /// The analyzed Scop.
  63.   Scop *S;
  64.  
  65.   /// LoopInfo analysis used to determine whether values are synthesizable.
  66.   llvm::LoopInfo *LI;
  67.  
  68.   /// Parameter space that does not need realignment.
  69.   isl::space ParamSpace;
  70.  
  71.   /// Space the schedule maps to.
  72.   isl::space ScatterSpace;
  73.  
  74.   /// Cached version of the schedule and domains.
  75.   isl::union_map Schedule;
  76.  
  77.   /// Combined access relations of all MemoryKind::Array READ accesses.
  78.   /// { DomainRead[] -> Element[] }
  79.   isl::union_map AllReads;
  80.  
  81.   /// The loaded values (llvm::LoadInst) of all reads.
  82.   /// { [Element[] -> DomainRead[]] -> ValInst[] }
  83.   isl::union_map AllReadValInst;
  84.  
  85.   /// Combined access relations of all MemoryKind::Array, MAY_WRITE accesses.
  86.   /// { DomainMayWrite[] -> Element[] }
  87.   isl::union_map AllMayWrites;
  88.  
  89.   /// Combined access relations of all MemoryKind::Array, MUST_WRITE accesses.
  90.   /// { DomainMustWrite[] -> Element[] }
  91.   isl::union_map AllMustWrites;
  92.  
  93.   /// Combined access relations of all MK_Array write accesses (union of
  94.   /// AllMayWrites and AllMustWrites).
  95.   /// { DomainWrite[] -> Element[] }
  96.   isl::union_map AllWrites;
  97.  
  98.   /// The value instances written to array elements of all write accesses.
  99.   /// { [Element[] -> DomainWrite[]] -> ValInst[] }
  100.   isl::union_map AllWriteValInst;
  101.  
  102.   /// All reaching definitions for  MemoryKind::Array writes.
  103.   /// { [Element[] -> Zone[]] -> DomainWrite[] }
  104.   isl::union_map WriteReachDefZone;
  105.  
  106.   /// Map llvm::Values to an isl identifier.
  107.   /// Used with -polly-use-llvm-names=false as an alternative method to get
  108.   /// unique ids that do not depend on pointer values.
  109.   llvm::DenseMap<llvm::Value *, isl::id> ValueIds;
  110.  
  111.   /// Set of array elements that can be reliably used for zone analysis.
  112.   /// { Element[] }
  113.   isl::union_set CompatibleElts;
  114.  
  115.   /// List of PHIs that may transitively refer to themselves.
  116.   ///
  117.   /// Computing them would require a polyhedral transitive closure operation,
  118.   /// for which isl may only return an approximation. For correctness, we always
  119.   /// require an exact result. Hence, we exclude such PHIs.
  120.   llvm::SmallPtrSet<llvm::PHINode *, 4> RecursivePHIs;
  121.  
  122.   /// PHIs that have been computed.
  123.   ///
  124.   /// Computed PHIs are replaced by their incoming values using #NormalizeMap.
  125.   llvm::DenseSet<llvm::PHINode *> ComputedPHIs;
  126.  
  127.   /// For computed PHIs, contains the ValInst they stand for.
  128.   ///
  129.   /// To show an example, assume the following PHINode:
  130.   ///
  131.   ///   Stmt:
  132.   ///     %phi = phi double [%val1, %bb1], [%val2, %bb2]
  133.   ///
  134.   /// It's ValInst is:
  135.   ///
  136.   ///   { [Stmt[i] -> phi[]] }
  137.   ///
  138.   /// The value %phi will be either %val1 or %val2, depending on whether in
  139.   /// iteration i %bb1 or %bb2 has been executed before. In SCoPs, this can be
  140.   /// determined at compile-time, and the result stored in #NormalizeMap. For
  141.   /// the previous example, it could be:
  142.   ///
  143.   ///   { [Stmt[i] -> phi[]] -> [Stmt[0] -> val1[]];
  144.   ///     [Stmt[i] -> phi[]] -> [Stmt[i] -> val2[]] : i > 0 }
  145.   ///
  146.   /// Only ValInsts in #ComputedPHIs are present in this map. Other values are
  147.   /// assumed to represent themselves. This is to avoid adding lots of identity
  148.   /// entries to this map.
  149.   ///
  150.   /// { PHIValInst[] -> IncomingValInst[] }
  151.   isl::union_map NormalizeMap;
  152.  
  153.   /// Cache for computePerPHI(const ScopArrayInfo *)
  154.   llvm::SmallDenseMap<llvm::PHINode *, isl::union_map> PerPHIMaps;
  155.  
  156.   /// A cache for getDefToTarget().
  157.   llvm::DenseMap<std::pair<ScopStmt *, ScopStmt *>, isl::map> DefToTargetCache;
  158.  
  159.   /// Prepare the object before computing the zones of @p S.
  160.   ///
  161.   /// @param PassName Name of the pass using this analysis.
  162.   /// @param S        The SCoP to process.
  163.   /// @param LI       LoopInfo analysis used to determine synthesizable values.
  164.   ZoneAlgorithm(const char *PassName, Scop *S, llvm::LoopInfo *LI);
  165.  
  166. private:
  167.   /// Find the array elements that violate the zone analysis assumptions.
  168.   ///
  169.   /// What violates our assumptions:
  170.   /// - A load after a write of the same location; we assume that all reads
  171.   ///   occur before the writes.
  172.   /// - Two writes to the same location; we cannot model the order in which
  173.   ///   these occur.
  174.   ///
  175.   /// Scalar reads implicitly always occur before other accesses therefore never
  176.   /// violate the first condition. There is also at most one write to a scalar,
  177.   /// satisfying the second condition.
  178.   ///
  179.   /// @param Stmt                  The statement to be analyzed.
  180.   /// @param[out] IncompatibleElts Receives the elements that are not
  181.   ///                              zone-analysis compatible.
  182.   /// @param[out]                  AllElts receives all encountered elements.
  183.   void collectIncompatibleElts(ScopStmt *Stmt, isl::union_set &IncompatibleElts,
  184.                                isl::union_set &AllElts);
  185.  
  186.   void addArrayReadAccess(MemoryAccess *MA);
  187.  
  188.   /// Return the ValInst write by a (must-)write access. Returns the 'unknown'
  189.   /// ValInst if there is no single ValInst[] the array element written to will
  190.   /// have.
  191.   ///
  192.   /// @return { ValInst[] }
  193.   isl::union_map getWrittenValue(MemoryAccess *MA, isl::map AccRel);
  194.  
  195.   void addArrayWriteAccess(MemoryAccess *MA);
  196.  
  197.   /// For an llvm::Value defined in @p DefStmt, compute the RAW dependency for a
  198.   /// use in every instance of @p UseStmt.
  199.   ///
  200.   /// @param UseStmt Statement a scalar is used in.
  201.   /// @param DefStmt Statement a scalar is defined in.
  202.   ///
  203.   /// @return { DomainUse[] -> DomainDef[] }
  204.   isl::map computeUseToDefFlowDependency(ScopStmt *UseStmt, ScopStmt *DefStmt);
  205.  
  206. protected:
  207.   isl::union_set makeEmptyUnionSet() const;
  208.  
  209.   isl::union_map makeEmptyUnionMap() const;
  210.  
  211.   /// For each 'execution' of a PHINode, get the incoming block that was
  212.   /// executed before.
  213.   ///
  214.   /// For each PHI instance we can directly determine which was the incoming
  215.   /// block, and hence derive which value the PHI has.
  216.   ///
  217.   /// @param SAI The ScopArrayInfo representing the PHI's storage.
  218.   ///
  219.   /// @return { DomainPHIRead[] -> DomainPHIWrite[] }
  220.   isl::union_map computePerPHI(const polly::ScopArrayInfo *SAI);
  221.  
  222.   /// Find the array elements that can be used for zone analysis.
  223.   void collectCompatibleElts();
  224.  
  225.   /// Get the schedule for @p Stmt.
  226.   ///
  227.   /// The domain of the result is as narrow as possible.
  228.   isl::map getScatterFor(ScopStmt *Stmt) const;
  229.  
  230.   /// Get the schedule of @p MA's parent statement.
  231.   isl::map getScatterFor(MemoryAccess *MA) const;
  232.  
  233.   /// Get the schedule for the statement instances of @p Domain.
  234.   isl::union_map getScatterFor(isl::union_set Domain) const;
  235.  
  236.   /// Get the schedule for the statement instances of @p Domain.
  237.   isl::map getScatterFor(isl::set Domain) const;
  238.  
  239.   /// Get the domain of @p Stmt.
  240.   isl::set getDomainFor(ScopStmt *Stmt) const;
  241.  
  242.   /// Get the domain @p MA's parent statement.
  243.   isl::set getDomainFor(MemoryAccess *MA) const;
  244.  
  245.   /// Get the access relation of @p MA.
  246.   ///
  247.   /// The domain of the result is as narrow as possible.
  248.   isl::map getAccessRelationFor(MemoryAccess *MA) const;
  249.  
  250.   /// Get a domain translation map from a (scalar) definition to the statement
  251.   /// where the definition is being moved to.
  252.   ///
  253.   /// @p TargetStmt can also be seen at an llvm::Use of an llvm::Value in
  254.   /// @p DefStmt. In addition, we allow transitive uses:
  255.   ///
  256.   /// DefStmt -> MiddleStmt -> TargetStmt
  257.   ///
  258.   /// where an operand tree of instructions in DefStmt and MiddleStmt are to be
  259.   /// moved to TargetStmt. To be generally correct, we also need to know all the
  260.   /// intermediate statements. However, we make use of the fact that
  261.   /// ForwardOpTree currently does not support a move from a loop body across
  262.   /// its header such that only the first definition and the target statement
  263.   /// are relevant.
  264.   ///
  265.   /// @param DefStmt    Statement from where a definition might be moved from.
  266.   /// @param TargetStmt Statement where the definition is potentially being
  267.   ///                   moved to (should contain a use of that definition).
  268.   ///
  269.   /// @return { DomainDef[] -> DomainTarget[] }
  270.   isl::map getDefToTarget(ScopStmt *DefStmt, ScopStmt *TargetStmt);
  271.  
  272.   /// Get the reaching definition of a scalar defined in @p Stmt.
  273.   ///
  274.   /// Note that this does not depend on the llvm::Instruction, only on the
  275.   /// statement it is defined in. Therefore the same computation can be reused.
  276.   ///
  277.   /// @param Stmt The statement in which a scalar is defined.
  278.   ///
  279.   /// @return { Scatter[] -> DomainDef[] }
  280.   isl::map getScalarReachingDefinition(ScopStmt *Stmt);
  281.  
  282.   /// Get the reaching definition of a scalar defined in @p DefDomain.
  283.   ///
  284.   /// @param DomainDef { DomainDef[] }
  285.   ///              The write statements to get the reaching definition for.
  286.   ///
  287.   /// @return { Scatter[] -> DomainDef[] }
  288.   isl::map getScalarReachingDefinition(isl::set DomainDef);
  289.  
  290.   /// Create a statement-to-unknown value mapping.
  291.   ///
  292.   /// @param Stmt The statement whose instances are mapped to unknown.
  293.   ///
  294.   /// @return { Domain[] -> ValInst[] }
  295.   isl::map makeUnknownForDomain(ScopStmt *Stmt) const;
  296.  
  297.   /// Create an isl_id that represents @p V.
  298.   isl::id makeValueId(llvm::Value *V);
  299.  
  300.   /// Create the space for an llvm::Value that is available everywhere.
  301.   isl::space makeValueSpace(llvm::Value *V);
  302.  
  303.   /// Create a set with the llvm::Value @p V which is available everywhere.
  304.   isl::set makeValueSet(llvm::Value *V);
  305.  
  306.   /// Create a mapping from a statement instance to the instance of an
  307.   /// llvm::Value that can be used in there.
  308.   ///
  309.   /// Although LLVM IR uses single static assignment, llvm::Values can have
  310.   /// different contents in loops, when they get redefined in the last
  311.   /// iteration. This function tries to get the statement instance of the
  312.   /// previous definition, relative to a user.
  313.   ///
  314.   /// Example:
  315.   /// for (int i = 0; i < N; i += 1) {
  316.   /// DEF:
  317.   ///    int v = A[i];
  318.   /// USE:
  319.   ///    use(v);
  320.   ///  }
  321.   ///
  322.   /// The value instance used by statement instance USE[i] is DEF[i]. Hence,
  323.   /// makeValInst returns:
  324.   ///
  325.   /// { USE[i] -> [DEF[i] -> v[]] : 0 <= i < N }
  326.   ///
  327.   /// @param Val       The value to get the instance of.
  328.   /// @param UserStmt  The statement that uses @p Val. Can be nullptr.
  329.   /// @param Scope     Loop the using instruction resides in.
  330.   /// @param IsCertain Pass true if the definition of @p Val is a
  331.   ///                  MUST_WRITE or false if the write is conditional.
  332.   ///
  333.   /// @return { DomainUse[] -> ValInst[] }
  334.   isl::map makeValInst(llvm::Value *Val, ScopStmt *UserStmt, llvm::Loop *Scope,
  335.                        bool IsCertain = true);
  336.  
  337.   /// Create and normalize a ValInst.
  338.   ///
  339.   /// @see makeValInst
  340.   /// @see normalizeValInst
  341.   /// @see #NormalizedPHI
  342.   isl::union_map makeNormalizedValInst(llvm::Value *Val, ScopStmt *UserStmt,
  343.                                        llvm::Loop *Scope,
  344.                                        bool IsCertain = true);
  345.  
  346.   /// Return whether @p MA can be used for transformations (e.g. OpTree load
  347.   /// forwarding, DeLICM mapping).
  348.   bool isCompatibleAccess(MemoryAccess *MA);
  349.  
  350.   /// Compute the different zones.
  351.   void computeCommon();
  352.  
  353.   ///  Compute the normalization map that replaces PHIs by their incoming
  354.   ///  values.
  355.   ///
  356.   /// @see #NormalizeMap
  357.   void computeNormalizedPHIs();
  358.  
  359.   /// Print the current state of all MemoryAccesses to @p.
  360.   void printAccesses(llvm::raw_ostream &OS, int Indent = 0) const;
  361.  
  362.   /// Is @p MA a PHI READ access that can be normalized?
  363.   ///
  364.   /// @see #NormalizeMap
  365.   bool isNormalizable(MemoryAccess *MA);
  366.  
  367.   /// @{
  368.   /// Determine whether the argument does not map to any computed PHI. Those
  369.   /// should have been replaced by their incoming values.
  370.   ///
  371.   /// @see #NormalizedPHI
  372.   isl::boolean isNormalized(isl::map Map);
  373.   isl::boolean isNormalized(isl::union_map Map);
  374.   /// @}
  375.  
  376. public:
  377.   /// Return the SCoP this object is analyzing.
  378.   Scop *getScop() const { return S; }
  379.  
  380.   /// A reaching definition zone is known to have the definition's written value
  381.   /// if the definition is a MUST_WRITE.
  382.   ///
  383.   /// @return { [Element[] -> Zone[]] -> ValInst[] }
  384.   isl::union_map computeKnownFromMustWrites() const;
  385.  
  386.   /// A reaching definition zone is known to be the same value as any load that
  387.   /// reads from that array element in that period.
  388.   ///
  389.   /// @return { [Element[] -> Zone[]] -> ValInst[] }
  390.   isl::union_map computeKnownFromLoad() const;
  391.  
  392.   /// Compute which value an array element stores at every instant.
  393.   ///
  394.   /// @param FromWrite Use stores as source of information.
  395.   /// @param FromRead  Use loads as source of information.
  396.   ///
  397.   /// @return { [Element[] -> Zone[]] -> ValInst[] }
  398.   isl::union_map computeKnown(bool FromWrite, bool FromRead) const;
  399. };
  400.  
  401. /// Create a domain-to-unknown value mapping.
  402. ///
  403. /// Value instances that do not represent a specific value are represented by an
  404. /// unnamed tuple of 0 dimensions. Its meaning depends on the context. It can
  405. /// either mean a specific but unknown value which cannot be represented by
  406. /// other means. It conflicts with itself because those two unknown ValInsts may
  407. /// have different concrete values at runtime.
  408. ///
  409. /// The other meaning is an arbitrary or wildcard value that can be chosen
  410. /// freely, like LLVM's undef. If matched with an unknown ValInst, there is no
  411. /// conflict.
  412. ///
  413. /// @param Domain { Domain[] }
  414. ///
  415. /// @return { Domain[] -> ValInst[] }
  416. isl::union_map makeUnknownForDomain(isl::union_set Domain);
  417. } // namespace polly
  418.  
  419. #endif /* POLLY_ZONEALGO_H */
  420.