1 //===- FunctionComparator.h - Function Comparator ---------------*- 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 file defines the FunctionComparator and GlobalNumberState classes which
10 // are used by the MergeFunctions pass for comparing functions.
11 //
12 //===----------------------------------------------------------------------===//
13 
14 #ifndef LLVM_TRANSFORMS_UTILS_FUNCTIONCOMPARATOR_H
15 #define LLVM_TRANSFORMS_UTILS_FUNCTIONCOMPARATOR_H
16 
17 #include "llvm/ADT/DenseMap.h"
18 #include "llvm/ADT/StringRef.h"
19 #include "llvm/IR/Attributes.h"
20 #include "llvm/IR/Instructions.h"
21 #include "llvm/IR/Operator.h"
22 #include "llvm/IR/ValueMap.h"
23 #include "llvm/Support/AtomicOrdering.h"
24 #include "llvm/Support/Casting.h"
25 #include <cstdint>
26 #include <tuple>
27 
28 namespace llvm {
29 
30 class APFloat;
31 class APInt;
32 class BasicBlock;
33 class Constant;
34 class Function;
35 class GlobalValue;
36 class InlineAsm;
37 class Instruction;
38 class MDNode;
39 class Type;
40 class Value;
41 
42 /// GlobalNumberState assigns an integer to each global value in the program,
43 /// which is used by the comparison routine to order references to globals. This
44 /// state must be preserved throughout the pass, because Functions and other
45 /// globals need to maintain their relative order. Globals are assigned a number
46 /// when they are first visited. This order is deterministic, and so the
47 /// assigned numbers are as well. When two functions are merged, neither number
48 /// is updated. If the symbols are weak, this would be incorrect. If they are
49 /// strong, then one will be replaced at all references to the other, and so
50 /// direct callsites will now see one or the other symbol, and no update is
51 /// necessary. Note that if we were guaranteed unique names, we could just
52 /// compare those, but this would not work for stripped bitcodes or for those
53 /// few symbols without a name.
54 class GlobalNumberState {
55   struct Config : ValueMapConfig<GlobalValue *> {
56     enum { FollowRAUW = false };
57   };
58 
59   // Each GlobalValue is mapped to an identifier. The Config ensures when RAUW
60   // occurs, the mapping does not change. Tracking changes is unnecessary, and
61   // also problematic for weak symbols (which may be overwritten).
62   using ValueNumberMap = ValueMap<GlobalValue *, uint64_t, Config>;
63   ValueNumberMap GlobalNumbers;
64 
65   // The next unused serial number to assign to a global.
66   uint64_t NextNumber = 0;
67 
68 public:
69   GlobalNumberState() = default;
70 
71   uint64_t getNumber(GlobalValue* Global) {
72     ValueNumberMap::iterator MapIter;
73     bool Inserted;
74     std::tie(MapIter, Inserted) = GlobalNumbers.insert({Global, NextNumber});
75     if (Inserted)
76       NextNumber++;
77     return MapIter->second;
78   }
79 
80   void erase(GlobalValue *Global) {
81     GlobalNumbers.erase(Global);
82   }
83 
84   void clear() {
85     GlobalNumbers.clear();
86   }
87 };
88 
89 /// FunctionComparator - Compares two functions to determine whether or not
90 /// they will generate machine code with the same behaviour. DataLayout is
91 /// used if available. The comparator always fails conservatively (erring on the
92 /// side of claiming that two functions are different).
93 class FunctionComparator {
94 public:
95   FunctionComparator(const Function *F1, const Function *F2,
96                      GlobalNumberState* GN)
97       : FnL(F1), FnR(F2), GlobalNumbers(GN) {}
98 
99   /// Test whether the two functions have equivalent behaviour.
100   int compare();
101 
102   /// Hash a function. Equivalent functions will have the same hash, and unequal
103   /// functions will have different hashes with high probability.
104   using FunctionHash = uint64_t;
105   static FunctionHash functionHash(Function &);
106 
107 protected:
108   /// Start the comparison.
109   void beginCompare() {
110     sn_mapL.clear();
111     sn_mapR.clear();
112   }
113 
114   /// Compares the signature and other general attributes of the two functions.
115   int compareSignature() const;
116 
117   /// Test whether two basic blocks have equivalent behaviour.
118   int cmpBasicBlocks(const BasicBlock *BBL, const BasicBlock *BBR) const;
119 
120   /// Constants comparison.
121   /// Its analog to lexicographical comparison between hypothetical numbers
122   /// of next format:
123   /// <bitcastability-trait><raw-bit-contents>
124   ///
125   /// 1. Bitcastability.
126   /// Check whether L's type could be losslessly bitcasted to R's type.
127   /// On this stage method, in case when lossless bitcast is not possible
128   /// method returns -1 or 1, thus also defining which type is greater in
129   /// context of bitcastability.
130   /// Stage 0: If types are equal in terms of cmpTypes, then we can go straight
131   ///          to the contents comparison.
132   ///          If types differ, remember types comparison result and check
133   ///          whether we still can bitcast types.
134   /// Stage 1: Types that satisfies isFirstClassType conditions are always
135   ///          greater then others.
136   /// Stage 2: Vector is greater then non-vector.
137   ///          If both types are vectors, then vector with greater bitwidth is
138   ///          greater.
139   ///          If both types are vectors with the same bitwidth, then types
140   ///          are bitcastable, and we can skip other stages, and go to contents
141   ///          comparison.
142   /// Stage 3: Pointer types are greater than non-pointers. If both types are
143   ///          pointers of the same address space - go to contents comparison.
144   ///          Different address spaces: pointer with greater address space is
145   ///          greater.
146   /// Stage 4: Types are neither vectors, nor pointers. And they differ.
147   ///          We don't know how to bitcast them. So, we better don't do it,
148   ///          and return types comparison result (so it determines the
149   ///          relationship among constants we don't know how to bitcast).
150   ///
151   /// Just for clearance, let's see how the set of constants could look
152   /// on single dimension axis:
153   ///
154   /// [NFCT], [FCT, "others"], [FCT, pointers], [FCT, vectors]
155   /// Where: NFCT - Not a FirstClassType
156   ///        FCT - FirstClassTyp:
157   ///
158   /// 2. Compare raw contents.
159   /// It ignores types on this stage and only compares bits from L and R.
160   /// Returns 0, if L and R has equivalent contents.
161   /// -1 or 1 if values are different.
162   /// Pretty trivial:
163   /// 2.1. If contents are numbers, compare numbers.
164   ///    Ints with greater bitwidth are greater. Ints with same bitwidths
165   ///    compared by their contents.
166   /// 2.2. "And so on". Just to avoid discrepancies with comments
167   /// perhaps it would be better to read the implementation itself.
168   /// 3. And again about overall picture. Let's look back at how the ordered set
169   /// of constants will look like:
170   /// [NFCT], [FCT, "others"], [FCT, pointers], [FCT, vectors]
171   ///
172   /// Now look, what could be inside [FCT, "others"], for example:
173   /// [FCT, "others"] =
174   /// [
175   ///   [double 0.1], [double 1.23],
176   ///   [i32 1], [i32 2],
177   ///   { double 1.0 },       ; StructTyID, NumElements = 1
178   ///   { i32 1 },            ; StructTyID, NumElements = 1
179   ///   { double 1, i32 1 },  ; StructTyID, NumElements = 2
180   ///   { i32 1, double 1 }   ; StructTyID, NumElements = 2
181   /// ]
182   ///
183   /// Let's explain the order. Float numbers will be less than integers, just
184   /// because of cmpType terms: FloatTyID < IntegerTyID.
185   /// Floats (with same fltSemantics) are sorted according to their value.
186   /// Then you can see integers, and they are, like a floats,
187   /// could be easy sorted among each others.
188   /// The structures. Structures are grouped at the tail, again because of their
189   /// TypeID: StructTyID > IntegerTyID > FloatTyID.
190   /// Structures with greater number of elements are greater. Structures with
191   /// greater elements going first are greater.
192   /// The same logic with vectors, arrays and other possible complex types.
193   ///
194   /// Bitcastable constants.
195   /// Let's assume, that some constant, belongs to some group of
196   /// "so-called-equal" values with different types, and at the same time
197   /// belongs to another group of constants with equal types
198   /// and "really" equal values.
199   ///
200   /// Now, prove that this is impossible:
201   ///
202   /// If constant A with type TyA is bitcastable to B with type TyB, then:
203   /// 1. All constants with equal types to TyA, are bitcastable to B. Since
204   ///    those should be vectors (if TyA is vector), pointers
205   ///    (if TyA is pointer), or else (if TyA equal to TyB), those types should
206   ///    be equal to TyB.
207   /// 2. All constants with non-equal, but bitcastable types to TyA, are
208   ///    bitcastable to B.
209   ///    Once again, just because we allow it to vectors and pointers only.
210   ///    This statement could be expanded as below:
211   /// 2.1. All vectors with equal bitwidth to vector A, has equal bitwidth to
212   ///      vector B, and thus bitcastable to B as well.
213   /// 2.2. All pointers of the same address space, no matter what they point to,
214   ///      bitcastable. So if C is pointer, it could be bitcasted to A and to B.
215   /// So any constant equal or bitcastable to A is equal or bitcastable to B.
216   /// QED.
217   ///
218   /// In another words, for pointers and vectors, we ignore top-level type and
219   /// look at their particular properties (bit-width for vectors, and
220   /// address space for pointers).
221   /// If these properties are equal - compare their contents.
222   int cmpConstants(const Constant *L, const Constant *R) const;
223 
224   /// Compares two global values by number. Uses the GlobalNumbersState to
225   /// identify the same gobals across function calls.
226   int cmpGlobalValues(GlobalValue *L, GlobalValue *R) const;
227 
228   /// Assign or look up previously assigned numbers for the two values, and
229   /// return whether the numbers are equal. Numbers are assigned in the order
230   /// visited.
231   /// Comparison order:
232   /// Stage 0: Value that is function itself is always greater then others.
233   ///          If left and right values are references to their functions, then
234   ///          they are equal.
235   /// Stage 1: Constants are greater than non-constants.
236   ///          If both left and right are constants, then the result of
237   ///          cmpConstants is used as cmpValues result.
238   /// Stage 2: InlineAsm instances are greater than others. If both left and
239   ///          right are InlineAsm instances, InlineAsm* pointers casted to
240   ///          integers and compared as numbers.
241   /// Stage 3: For all other cases we compare order we meet these values in
242   ///          their functions. If right value was met first during scanning,
243   ///          then left value is greater.
244   ///          In another words, we compare serial numbers, for more details
245   ///          see comments for sn_mapL and sn_mapR.
246   int cmpValues(const Value *L, const Value *R) const;
247 
248   /// Compare two Instructions for equivalence, similar to
249   /// Instruction::isSameOperationAs.
250   ///
251   /// Stages are listed in "most significant stage first" order:
252   /// On each stage below, we do comparison between some left and right
253   /// operation parts. If parts are non-equal, we assign parts comparison
254   /// result to the operation comparison result and exit from method.
255   /// Otherwise we proceed to the next stage.
256   /// Stages:
257   /// 1. Operations opcodes. Compared as numbers.
258   /// 2. Number of operands.
259   /// 3. Operation types. Compared with cmpType method.
260   /// 4. Compare operation subclass optional data as stream of bytes:
261   /// just convert it to integers and call cmpNumbers.
262   /// 5. Compare in operation operand types with cmpType in
263   /// most significant operand first order.
264   /// 6. Last stage. Check operations for some specific attributes.
265   /// For example, for Load it would be:
266   /// 6.1.Load: volatile (as boolean flag)
267   /// 6.2.Load: alignment (as integer numbers)
268   /// 6.3.Load: ordering (as underlying enum class value)
269   /// 6.4.Load: synch-scope (as integer numbers)
270   /// 6.5.Load: range metadata (as integer ranges)
271   /// On this stage its better to see the code, since its not more than 10-15
272   /// strings for particular instruction, and could change sometimes.
273   ///
274   /// Sets \p needToCmpOperands to true if the operands of the instructions
275   /// still must be compared afterwards. In this case it's already guaranteed
276   /// that both instructions have the same number of operands.
277   int cmpOperations(const Instruction *L, const Instruction *R,
278                     bool &needToCmpOperands) const;
279 
280   /// cmpType - compares two types,
281   /// defines total ordering among the types set.
282   ///
283   /// Return values:
284   /// 0 if types are equal,
285   /// -1 if Left is less than Right,
286   /// +1 if Left is greater than Right.
287   ///
288   /// Description:
289   /// Comparison is broken onto stages. Like in lexicographical comparison
290   /// stage coming first has higher priority.
291   /// On each explanation stage keep in mind total ordering properties.
292   ///
293   /// 0. Before comparison we coerce pointer types of 0 address space to
294   /// integer.
295   /// We also don't bother with same type at left and right, so
296   /// just return 0 in this case.
297   ///
298   /// 1. If types are of different kind (different type IDs).
299   ///    Return result of type IDs comparison, treating them as numbers.
300   /// 2. If types are integers, check that they have the same width. If they
301   /// are vectors, check that they have the same count and subtype.
302   /// 3. Types have the same ID, so check whether they are one of:
303   /// * Void
304   /// * Float
305   /// * Double
306   /// * X86_FP80
307   /// * FP128
308   /// * PPC_FP128
309   /// * Label
310   /// * Metadata
311   /// We can treat these types as equal whenever their IDs are same.
312   /// 4. If Left and Right are pointers, return result of address space
313   /// comparison (numbers comparison). We can treat pointer types of same
314   /// address space as equal.
315   /// 5. If types are complex.
316   /// Then both Left and Right are to be expanded and their element types will
317   /// be checked with the same way. If we get Res != 0 on some stage, return it.
318   /// Otherwise return 0.
319   /// 6. For all other cases put llvm_unreachable.
320   int cmpTypes(Type *TyL, Type *TyR) const;
321 
322   int cmpNumbers(uint64_t L, uint64_t R) const;
323   int cmpAligns(Align L, Align R) const;
324   int cmpAPInts(const APInt &L, const APInt &R) const;
325   int cmpAPFloats(const APFloat &L, const APFloat &R) const;
326   int cmpMem(StringRef L, StringRef R) const;
327 
328   // The two functions undergoing comparison.
329   const Function *FnL, *FnR;
330 
331 private:
332   int cmpOrderings(AtomicOrdering L, AtomicOrdering R) const;
333   int cmpInlineAsm(const InlineAsm *L, const InlineAsm *R) const;
334   int cmpAttrs(const AttributeList L, const AttributeList R) const;
335   int cmpRangeMetadata(const MDNode *L, const MDNode *R) const;
336   int cmpOperandBundlesSchema(const CallBase &LCS, const CallBase &RCS) const;
337 
338   /// Compare two GEPs for equivalent pointer arithmetic.
339   /// Parts to be compared for each comparison stage,
340   /// most significant stage first:
341   /// 1. Address space. As numbers.
342   /// 2. Constant offset, (using GEPOperator::accumulateConstantOffset method).
343   /// 3. Pointer operand type (using cmpType method).
344   /// 4. Number of operands.
345   /// 5. Compare operands, using cmpValues method.
346   int cmpGEPs(const GEPOperator *GEPL, const GEPOperator *GEPR) const;
347   int cmpGEPs(const GetElementPtrInst *GEPL,
348               const GetElementPtrInst *GEPR) const {
349     return cmpGEPs(cast<GEPOperator>(GEPL), cast<GEPOperator>(GEPR));
350   }
351 
352   /// Assign serial numbers to values from left function, and values from
353   /// right function.
354   /// Explanation:
355   /// Being comparing functions we need to compare values we meet at left and
356   /// right sides.
357   /// Its easy to sort things out for external values. It just should be
358   /// the same value at left and right.
359   /// But for local values (those were introduced inside function body)
360   /// we have to ensure they were introduced at exactly the same place,
361   /// and plays the same role.
362   /// Let's assign serial number to each value when we meet it first time.
363   /// Values that were met at same place will be with same serial numbers.
364   /// In this case it would be good to explain few points about values assigned
365   /// to BBs and other ways of implementation (see below).
366   ///
367   /// 1. Safety of BB reordering.
368   /// It's safe to change the order of BasicBlocks in function.
369   /// Relationship with other functions and serial numbering will not be
370   /// changed in this case.
371   /// As follows from FunctionComparator::compare(), we do CFG walk: we start
372   /// from the entry, and then take each terminator. So it doesn't matter how in
373   /// fact BBs are ordered in function. And since cmpValues are called during
374   /// this walk, the numbering depends only on how BBs located inside the CFG.
375   /// So the answer is - yes. We will get the same numbering.
376   ///
377   /// 2. Impossibility to use dominance properties of values.
378   /// If we compare two instruction operands: first is usage of local
379   /// variable AL from function FL, and second is usage of local variable AR
380   /// from FR, we could compare their origins and check whether they are
381   /// defined at the same place.
382   /// But, we are still not able to compare operands of PHI nodes, since those
383   /// could be operands from further BBs we didn't scan yet.
384   /// So it's impossible to use dominance properties in general.
385   mutable DenseMap<const Value*, int> sn_mapL, sn_mapR;
386 
387   // The global state we will use
388   GlobalNumberState* GlobalNumbers;
389 };
390 
391 } // end namespace llvm
392 
393 #endif // LLVM_TRANSFORMS_UTILS_FUNCTIONCOMPARATOR_H
394