//===- FunctionComparator.h - Function Comparator ---------------*- C++ -*-===// // // The LLVM Compiler Infrastructure // // This file is distributed under the University of Illinois Open Source // License. See LICENSE.TXT for details. // //===----------------------------------------------------------------------===// // // This file defines the FunctionComparator and GlobalNumberState classes which // are used by the MergeFunctions pass for comparing functions. // //===----------------------------------------------------------------------===// #ifndef LLVM_TRANSFORMS_UTILS_FUNCTIONCOMPARATOR_H #define LLVM_TRANSFORMS_UTILS_FUNCTIONCOMPARATOR_H #include "llvm/ADT/APFloat.h" #include "llvm/ADT/DenseMap.h" #include "llvm/ADT/StringRef.h" #include "llvm/IR/Function.h" #include "llvm/IR/ValueMap.h" #include "llvm/IR/Operator.h" #include "llvm/Support/AtomicOrdering.h" #include "llvm/Support/Casting.h" #include #include namespace llvm { class GetElementPtrInst; /// GlobalNumberState assigns an integer to each global value in the program, /// which is used by the comparison routine to order references to globals. This /// state must be preserved throughout the pass, because Functions and other /// globals need to maintain their relative order. Globals are assigned a number /// when they are first visited. This order is deterministic, and so the /// assigned numbers are as well. When two functions are merged, neither number /// is updated. If the symbols are weak, this would be incorrect. If they are /// strong, then one will be replaced at all references to the other, and so /// direct callsites will now see one or the other symbol, and no update is /// necessary. Note that if we were guaranteed unique names, we could just /// compare those, but this would not work for stripped bitcodes or for those /// few symbols without a name. class GlobalNumberState { struct Config : ValueMapConfig { enum { FollowRAUW = false }; }; // Each GlobalValue is mapped to an identifier. The Config ensures when RAUW // occurs, the mapping does not change. Tracking changes is unnecessary, and // also problematic for weak symbols (which may be overwritten). typedef ValueMap ValueNumberMap; ValueNumberMap GlobalNumbers; // The next unused serial number to assign to a global. uint64_t NextNumber = 0; public: GlobalNumberState() = default; uint64_t getNumber(GlobalValue* Global) { ValueNumberMap::iterator MapIter; bool Inserted; std::tie(MapIter, Inserted) = GlobalNumbers.insert({Global, NextNumber}); if (Inserted) NextNumber++; return MapIter->second; } void clear() { GlobalNumbers.clear(); } }; /// FunctionComparator - Compares two functions to determine whether or not /// they will generate machine code with the same behaviour. DataLayout is /// used if available. The comparator always fails conservatively (erring on the /// side of claiming that two functions are different). class FunctionComparator { public: FunctionComparator(const Function *F1, const Function *F2, GlobalNumberState* GN) : FnL(F1), FnR(F2), GlobalNumbers(GN) {} /// Test whether the two functions have equivalent behaviour. int compare(); /// Hash a function. Equivalent functions will have the same hash, and unequal /// functions will have different hashes with high probability. typedef uint64_t FunctionHash; static FunctionHash functionHash(Function &); protected: /// Start the comparison. void beginCompare() { sn_mapL.clear(); sn_mapR.clear(); } /// Compares the signature and other general attributes of the two functions. int compareSignature() const; /// Test whether two basic blocks have equivalent behaviour. int cmpBasicBlocks(const BasicBlock *BBL, const BasicBlock *BBR) const; /// Constants comparison. /// Its analog to lexicographical comparison between hypothetical numbers /// of next format: /// /// /// 1. Bitcastability. /// Check whether L's type could be losslessly bitcasted to R's type. /// On this stage method, in case when lossless bitcast is not possible /// method returns -1 or 1, thus also defining which type is greater in /// context of bitcastability. /// Stage 0: If types are equal in terms of cmpTypes, then we can go straight /// to the contents comparison. /// If types differ, remember types comparison result and check /// whether we still can bitcast types. /// Stage 1: Types that satisfies isFirstClassType conditions are always /// greater then others. /// Stage 2: Vector is greater then non-vector. /// If both types are vectors, then vector with greater bitwidth is /// greater. /// If both types are vectors with the same bitwidth, then types /// are bitcastable, and we can skip other stages, and go to contents /// comparison. /// Stage 3: Pointer types are greater than non-pointers. If both types are /// pointers of the same address space - go to contents comparison. /// Different address spaces: pointer with greater address space is /// greater. /// Stage 4: Types are neither vectors, nor pointers. And they differ. /// We don't know how to bitcast them. So, we better don't do it, /// and return types comparison result (so it determines the /// relationship among constants we don't know how to bitcast). /// /// Just for clearance, let's see how the set of constants could look /// on single dimension axis: /// /// [NFCT], [FCT, "others"], [FCT, pointers], [FCT, vectors] /// Where: NFCT - Not a FirstClassType /// FCT - FirstClassTyp: /// /// 2. Compare raw contents. /// It ignores types on this stage and only compares bits from L and R. /// Returns 0, if L and R has equivalent contents. /// -1 or 1 if values are different. /// Pretty trivial: /// 2.1. If contents are numbers, compare numbers. /// Ints with greater bitwidth are greater. Ints with same bitwidths /// compared by their contents. /// 2.2. "And so on". Just to avoid discrepancies with comments /// perhaps it would be better to read the implementation itself. /// 3. And again about overall picture. Let's look back at how the ordered set /// of constants will look like: /// [NFCT], [FCT, "others"], [FCT, pointers], [FCT, vectors] /// /// Now look, what could be inside [FCT, "others"], for example: /// [FCT, "others"] = /// [ /// [double 0.1], [double 1.23], /// [i32 1], [i32 2], /// { double 1.0 }, ; StructTyID, NumElements = 1 /// { i32 1 }, ; StructTyID, NumElements = 1 /// { double 1, i32 1 }, ; StructTyID, NumElements = 2 /// { i32 1, double 1 } ; StructTyID, NumElements = 2 /// ] /// /// Let's explain the order. Float numbers will be less than integers, just /// because of cmpType terms: FloatTyID < IntegerTyID. /// Floats (with same fltSemantics) are sorted according to their value. /// Then you can see integers, and they are, like a floats, /// could be easy sorted among each others. /// The structures. Structures are grouped at the tail, again because of their /// TypeID: StructTyID > IntegerTyID > FloatTyID. /// Structures with greater number of elements are greater. Structures with /// greater elements going first are greater. /// The same logic with vectors, arrays and other possible complex types. /// /// Bitcastable constants. /// Let's assume, that some constant, belongs to some group of /// "so-called-equal" values with different types, and at the same time /// belongs to another group of constants with equal types /// and "really" equal values. /// /// Now, prove that this is impossible: /// /// If constant A with type TyA is bitcastable to B with type TyB, then: /// 1. All constants with equal types to TyA, are bitcastable to B. Since /// those should be vectors (if TyA is vector), pointers /// (if TyA is pointer), or else (if TyA equal to TyB), those types should /// be equal to TyB. /// 2. All constants with non-equal, but bitcastable types to TyA, are /// bitcastable to B. /// Once again, just because we allow it to vectors and pointers only. /// This statement could be expanded as below: /// 2.1. All vectors with equal bitwidth to vector A, has equal bitwidth to /// vector B, and thus bitcastable to B as well. /// 2.2. All pointers of the same address space, no matter what they point to, /// bitcastable. So if C is pointer, it could be bitcasted to A and to B. /// So any constant equal or bitcastable to A is equal or bitcastable to B. /// QED. /// /// In another words, for pointers and vectors, we ignore top-level type and /// look at their particular properties (bit-width for vectors, and /// address space for pointers). /// If these properties are equal - compare their contents. int cmpConstants(const Constant *L, const Constant *R) const; /// Compares two global values by number. Uses the GlobalNumbersState to /// identify the same gobals across function calls. int cmpGlobalValues(GlobalValue *L, GlobalValue *R) const; /// Assign or look up previously assigned numbers for the two values, and /// return whether the numbers are equal. Numbers are assigned in the order /// visited. /// Comparison order: /// Stage 0: Value that is function itself is always greater then others. /// If left and right values are references to their functions, then /// they are equal. /// Stage 1: Constants are greater than non-constants. /// If both left and right are constants, then the result of /// cmpConstants is used as cmpValues result. /// Stage 2: InlineAsm instances are greater than others. If both left and /// right are InlineAsm instances, InlineAsm* pointers casted to /// integers and compared as numbers. /// Stage 3: For all other cases we compare order we meet these values in /// their functions. If right value was met first during scanning, /// then left value is greater. /// In another words, we compare serial numbers, for more details /// see comments for sn_mapL and sn_mapR. int cmpValues(const Value *L, const Value *R) const; /// Compare two Instructions for equivalence, similar to /// Instruction::isSameOperationAs. /// /// Stages are listed in "most significant stage first" order: /// On each stage below, we do comparison between some left and right /// operation parts. If parts are non-equal, we assign parts comparison /// result to the operation comparison result and exit from method. /// Otherwise we proceed to the next stage. /// Stages: /// 1. Operations opcodes. Compared as numbers. /// 2. Number of operands. /// 3. Operation types. Compared with cmpType method. /// 4. Compare operation subclass optional data as stream of bytes: /// just convert it to integers and call cmpNumbers. /// 5. Compare in operation operand types with cmpType in /// most significant operand first order. /// 6. Last stage. Check operations for some specific attributes. /// For example, for Load it would be: /// 6.1.Load: volatile (as boolean flag) /// 6.2.Load: alignment (as integer numbers) /// 6.3.Load: ordering (as underlying enum class value) /// 6.4.Load: synch-scope (as integer numbers) /// 6.5.Load: range metadata (as integer ranges) /// On this stage its better to see the code, since its not more than 10-15 /// strings for particular instruction, and could change sometimes. /// /// Sets \p needToCmpOperands to true if the operands of the instructions /// still must be compared afterwards. In this case it's already guaranteed /// that both instructions have the same number of operands. int cmpOperations(const Instruction *L, const Instruction *R, bool &needToCmpOperands) const; /// cmpType - compares two types, /// defines total ordering among the types set. /// /// Return values: /// 0 if types are equal, /// -1 if Left is less than Right, /// +1 if Left is greater than Right. /// /// Description: /// Comparison is broken onto stages. Like in lexicographical comparison /// stage coming first has higher priority. /// On each explanation stage keep in mind total ordering properties. /// /// 0. Before comparison we coerce pointer types of 0 address space to /// integer. /// We also don't bother with same type at left and right, so /// just return 0 in this case. /// /// 1. If types are of different kind (different type IDs). /// Return result of type IDs comparison, treating them as numbers. /// 2. If types are integers, check that they have the same width. If they /// are vectors, check that they have the same count and subtype. /// 3. Types have the same ID, so check whether they are one of: /// * Void /// * Float /// * Double /// * X86_FP80 /// * FP128 /// * PPC_FP128 /// * Label /// * Metadata /// We can treat these types as equal whenever their IDs are same. /// 4. If Left and Right are pointers, return result of address space /// comparison (numbers comparison). We can treat pointer types of same /// address space as equal. /// 5. If types are complex. /// Then both Left and Right are to be expanded and their element types will /// be checked with the same way. If we get Res != 0 on some stage, return it. /// Otherwise return 0. /// 6. For all other cases put llvm_unreachable. int cmpTypes(Type *TyL, Type *TyR) const; int cmpNumbers(uint64_t L, uint64_t R) const; int cmpAPInts(const APInt &L, const APInt &R) const; int cmpAPFloats(const APFloat &L, const APFloat &R) const; int cmpMem(StringRef L, StringRef R) const; // The two functions undergoing comparison. const Function *FnL, *FnR; private: int cmpOrderings(AtomicOrdering L, AtomicOrdering R) const; int cmpInlineAsm(const InlineAsm *L, const InlineAsm *R) const; int cmpAttrs(const AttributeList L, const AttributeList R) const; int cmpRangeMetadata(const MDNode *L, const MDNode *R) const; int cmpOperandBundlesSchema(const Instruction *L, const Instruction *R) const; /// Compare two GEPs for equivalent pointer arithmetic. /// Parts to be compared for each comparison stage, /// most significant stage first: /// 1. Address space. As numbers. /// 2. Constant offset, (using GEPOperator::accumulateConstantOffset method). /// 3. Pointer operand type (using cmpType method). /// 4. Number of operands. /// 5. Compare operands, using cmpValues method. int cmpGEPs(const GEPOperator *GEPL, const GEPOperator *GEPR) const; int cmpGEPs(const GetElementPtrInst *GEPL, const GetElementPtrInst *GEPR) const { return cmpGEPs(cast(GEPL), cast(GEPR)); } /// Assign serial numbers to values from left function, and values from /// right function. /// Explanation: /// Being comparing functions we need to compare values we meet at left and /// right sides. /// Its easy to sort things out for external values. It just should be /// the same value at left and right. /// But for local values (those were introduced inside function body) /// we have to ensure they were introduced at exactly the same place, /// and plays the same role. /// Let's assign serial number to each value when we meet it first time. /// Values that were met at same place will be with same serial numbers. /// In this case it would be good to explain few points about values assigned /// to BBs and other ways of implementation (see below). /// /// 1. Safety of BB reordering. /// It's safe to change the order of BasicBlocks in function. /// Relationship with other functions and serial numbering will not be /// changed in this case. /// As follows from FunctionComparator::compare(), we do CFG walk: we start /// from the entry, and then take each terminator. So it doesn't matter how in /// fact BBs are ordered in function. And since cmpValues are called during /// this walk, the numbering depends only on how BBs located inside the CFG. /// So the answer is - yes. We will get the same numbering. /// /// 2. Impossibility to use dominance properties of values. /// If we compare two instruction operands: first is usage of local /// variable AL from function FL, and second is usage of local variable AR /// from FR, we could compare their origins and check whether they are /// defined at the same place. /// But, we are still not able to compare operands of PHI nodes, since those /// could be operands from further BBs we didn't scan yet. /// So it's impossible to use dominance properties in general. mutable DenseMap sn_mapL, sn_mapR; // The global state we will use GlobalNumberState* GlobalNumbers; }; } // end namespace llvm #endif // LLVM_TRANSFORMS_UTILS_FUNCTIONCOMPARATOR_H