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