1 //===-- llvm/Support/Alignment.h - Useful alignment functions ---*- 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 contains types to represent alignments.
10 // They are instrumented to guarantee some invariants are preserved and prevent
11 // invalid manipulations.
12 //
13 // - Align represents an alignment in bytes, it is always set and always a valid
14 // power of two, its minimum value is 1 which means no alignment requirements.
15 //
16 // - MaybeAlign is an optional type, it may be undefined or set. When it's set
17 // you can get the underlying Align type by using the getValue() method.
18 //
19 //===----------------------------------------------------------------------===//
20 
21 #ifndef LLVM_SUPPORT_ALIGNMENT_H_
22 #define LLVM_SUPPORT_ALIGNMENT_H_
23 
24 #include "llvm/ADT/Optional.h"
25 #include "llvm/Support/MathExtras.h"
26 #include <cassert>
27 #ifndef NDEBUG
28 #include <string>
29 #endif // NDEBUG
30 
31 namespace llvm {
32 
33 #define ALIGN_CHECK_ISPOSITIVE(decl)                                           \
34   assert(decl > 0 && (#decl " should be defined"))
35 
36 /// This struct is a compact representation of a valid (non-zero power of two)
37 /// alignment.
38 /// It is suitable for use as static global constants.
39 struct Align {
40 private:
41   uint8_t ShiftValue = 0; /// The log2 of the required alignment.
42                           /// ShiftValue is less than 64 by construction.
43 
44   friend struct MaybeAlign;
45   friend unsigned Log2(Align);
46   friend bool operator==(Align Lhs, Align Rhs);
47   friend bool operator!=(Align Lhs, Align Rhs);
48   friend bool operator<=(Align Lhs, Align Rhs);
49   friend bool operator>=(Align Lhs, Align Rhs);
50   friend bool operator<(Align Lhs, Align Rhs);
51   friend bool operator>(Align Lhs, Align Rhs);
52   friend unsigned encode(struct MaybeAlign A);
53   friend struct MaybeAlign decodeMaybeAlign(unsigned Value);
54 
55   /// A trivial type to allow construction of constexpr Align.
56   /// This is currently needed to workaround a bug in GCC 5.3 which prevents
57   /// definition of constexpr assign operators.
58   /// https://stackoverflow.com/questions/46756288/explicitly-defaulted-function-cannot-be-declared-as-constexpr-because-the-implic
59   /// FIXME: Remove this, make all assign operators constexpr and introduce user
60   /// defined literals when we don't have to support GCC 5.3 anymore.
61   /// https://llvm.org/docs/GettingStarted.html#getting-a-modern-host-c-toolchain
62   struct LogValue {
63     uint8_t Log;
64   };
65 
66 public:
67   /// Default is byte-aligned.
68   constexpr Align() = default;
69   /// Do not perform checks in case of copy/move construct/assign, because the
70   /// checks have been performed when building `Other`.
71   constexpr Align(const Align &Other) = default;
72   constexpr Align(Align &&Other) = default;
73   Align &operator=(const Align &Other) = default;
74   Align &operator=(Align &&Other) = default;
75 
76   explicit Align(uint64_t Value) {
77     assert(Value > 0 && "Value must not be 0");
78     assert(llvm::isPowerOf2_64(Value) && "Alignment is not a power of 2");
79     ShiftValue = Log2_64(Value);
80     assert(ShiftValue < 64 && "Broken invariant");
81   }
82 
83   /// This is a hole in the type system and should not be abused.
84   /// Needed to interact with C for instance.
85   uint64_t value() const { return uint64_t(1) << ShiftValue; }
86 
87   /// Returns a default constructed Align which corresponds to no alignment.
88   /// It was decided to deprecate Align::None because it's too close to
89   /// llvm::None which can be used to initialize `MaybeAlign`.
90   /// MaybeAlign = llvm::None means unspecified alignment,
91   /// Align = Align::None() means alignment of one byte.
92   LLVM_ATTRIBUTE_DEPRECATED(constexpr static const Align None(),
93                             "Use Align() or Align(1) instead") {
94     return Align();
95   }
96 
97   /// Allow constructions of constexpr Align.
98   template <size_t kValue> constexpr static LogValue Constant() {
99     return LogValue{static_cast<uint8_t>(CTLog2<kValue>())};
100   }
101 
102   /// Allow constructions of constexpr Align from types.
103   /// Compile time equivalent to Align(alignof(T)).
104   template <typename T> constexpr static LogValue Of() {
105     return Constant<std::alignment_of<T>::value>();
106   }
107 
108   /// Constexpr constructor from LogValue type.
109   constexpr Align(LogValue CA) : ShiftValue(CA.Log) {}
110 };
111 
112 /// Treats the value 0 as a 1, so Align is always at least 1.
113 inline Align assumeAligned(uint64_t Value) {
114   return Value ? Align(Value) : Align();
115 }
116 
117 /// This struct is a compact representation of a valid (power of two) or
118 /// undefined (0) alignment.
119 struct MaybeAlign : public llvm::Optional<Align> {
120 private:
121   using UP = llvm::Optional<Align>;
122 
123 public:
124   /// Default is undefined.
125   MaybeAlign() = default;
126   /// Do not perform checks in case of copy/move construct/assign, because the
127   /// checks have been performed when building `Other`.
128   MaybeAlign(const MaybeAlign &Other) = default;
129   MaybeAlign &operator=(const MaybeAlign &Other) = default;
130   MaybeAlign(MaybeAlign &&Other) = default;
131   MaybeAlign &operator=(MaybeAlign &&Other) = default;
132 
133   /// Use llvm::Optional<Align> constructor.
134   using UP::UP;
135 
136   explicit MaybeAlign(uint64_t Value) {
137     assert((Value == 0 || llvm::isPowerOf2_64(Value)) &&
138            "Alignment is neither 0 nor a power of 2");
139     if (Value)
140       emplace(Value);
141   }
142 
143   /// For convenience, returns a valid alignment or 1 if undefined.
144   Align valueOrOne() const { return hasValue() ? getValue() : Align(); }
145 };
146 
147 /// Checks that SizeInBytes is a multiple of the alignment.
148 inline bool isAligned(Align Lhs, uint64_t SizeInBytes) {
149   return SizeInBytes % Lhs.value() == 0;
150 }
151 
152 /// Checks that Addr is a multiple of the alignment.
153 inline bool isAddrAligned(Align Lhs, const void *Addr) {
154   return isAligned(Lhs, reinterpret_cast<uintptr_t>(Addr));
155 }
156 
157 /// Returns a multiple of A needed to store `Size` bytes.
158 inline uint64_t alignTo(uint64_t Size, Align A) {
159   const uint64_t Value = A.value();
160   // The following line is equivalent to `(Size + Value - 1) / Value * Value`.
161 
162   // The division followed by a multiplication can be thought of as a right
163   // shift followed by a left shift which zeros out the extra bits produced in
164   // the bump; `~(Value - 1)` is a mask where all those bits being zeroed out
165   // are just zero.
166 
167   // Most compilers can generate this code but the pattern may be missed when
168   // multiple functions gets inlined.
169   return (Size + Value - 1) & ~(Value - 1U);
170 }
171 
172 /// If non-zero \p Skew is specified, the return value will be a minimal integer
173 /// that is greater than or equal to \p Size and equal to \p A * N + \p Skew for
174 /// some integer N. If \p Skew is larger than \p A, its value is adjusted to '\p
175 /// Skew mod \p A'.
176 ///
177 /// Examples:
178 /// \code
179 ///   alignTo(5, Align(8), 7) = 7
180 ///   alignTo(17, Align(8), 1) = 17
181 ///   alignTo(~0LL, Align(8), 3) = 3
182 /// \endcode
183 inline uint64_t alignTo(uint64_t Size, Align A, uint64_t Skew) {
184   const uint64_t Value = A.value();
185   Skew %= Value;
186   return ((Size + Value - 1 - Skew) & ~(Value - 1U)) + Skew;
187 }
188 
189 /// Returns a multiple of A needed to store `Size` bytes.
190 /// Returns `Size` if current alignment is undefined.
191 inline uint64_t alignTo(uint64_t Size, MaybeAlign A) {
192   return A ? alignTo(Size, A.getValue()) : Size;
193 }
194 
195 /// Aligns `Addr` to `Alignment` bytes, rounding up.
196 inline uintptr_t alignAddr(const void *Addr, Align Alignment) {
197   uintptr_t ArithAddr = reinterpret_cast<uintptr_t>(Addr);
198   assert(static_cast<uintptr_t>(ArithAddr + Alignment.value() - 1) >=
199              ArithAddr &&
200          "Overflow");
201   return alignTo(ArithAddr, Alignment);
202 }
203 
204 /// Returns the offset to the next integer (mod 2**64) that is greater than
205 /// or equal to \p Value and is a multiple of \p Align.
206 inline uint64_t offsetToAlignment(uint64_t Value, Align Alignment) {
207   return alignTo(Value, Alignment) - Value;
208 }
209 
210 /// Returns the necessary adjustment for aligning `Addr` to `Alignment`
211 /// bytes, rounding up.
212 inline uint64_t offsetToAlignedAddr(const void *Addr, Align Alignment) {
213   return offsetToAlignment(reinterpret_cast<uintptr_t>(Addr), Alignment);
214 }
215 
216 /// Returns the log2 of the alignment.
217 inline unsigned Log2(Align A) { return A.ShiftValue; }
218 
219 /// Returns the alignment that satisfies both alignments.
220 /// Same semantic as MinAlign.
221 inline Align commonAlignment(Align A, Align B) { return std::min(A, B); }
222 
223 /// Returns the alignment that satisfies both alignments.
224 /// Same semantic as MinAlign.
225 inline Align commonAlignment(Align A, uint64_t Offset) {
226   return Align(MinAlign(A.value(), Offset));
227 }
228 
229 /// Returns the alignment that satisfies both alignments.
230 /// Same semantic as MinAlign.
231 inline MaybeAlign commonAlignment(MaybeAlign A, MaybeAlign B) {
232   return A && B ? commonAlignment(*A, *B) : A ? A : B;
233 }
234 
235 /// Returns the alignment that satisfies both alignments.
236 /// Same semantic as MinAlign.
237 inline MaybeAlign commonAlignment(MaybeAlign A, uint64_t Offset) {
238   return MaybeAlign(MinAlign((*A).value(), Offset));
239 }
240 
241 /// Returns a representation of the alignment that encodes undefined as 0.
242 inline unsigned encode(MaybeAlign A) { return A ? A->ShiftValue + 1 : 0; }
243 
244 /// Dual operation of the encode function above.
245 inline MaybeAlign decodeMaybeAlign(unsigned Value) {
246   if (Value == 0)
247     return MaybeAlign();
248   Align Out;
249   Out.ShiftValue = Value - 1;
250   return Out;
251 }
252 
253 /// Returns a representation of the alignment, the encoded value is positive by
254 /// definition.
255 inline unsigned encode(Align A) { return encode(MaybeAlign(A)); }
256 
257 /// Comparisons between Align and scalars. Rhs must be positive.
258 inline bool operator==(Align Lhs, uint64_t Rhs) {
259   ALIGN_CHECK_ISPOSITIVE(Rhs);
260   return Lhs.value() == Rhs;
261 }
262 inline bool operator!=(Align Lhs, uint64_t Rhs) {
263   ALIGN_CHECK_ISPOSITIVE(Rhs);
264   return Lhs.value() != Rhs;
265 }
266 inline bool operator<=(Align Lhs, uint64_t Rhs) {
267   ALIGN_CHECK_ISPOSITIVE(Rhs);
268   return Lhs.value() <= Rhs;
269 }
270 inline bool operator>=(Align Lhs, uint64_t Rhs) {
271   ALIGN_CHECK_ISPOSITIVE(Rhs);
272   return Lhs.value() >= Rhs;
273 }
274 inline bool operator<(Align Lhs, uint64_t Rhs) {
275   ALIGN_CHECK_ISPOSITIVE(Rhs);
276   return Lhs.value() < Rhs;
277 }
278 inline bool operator>(Align Lhs, uint64_t Rhs) {
279   ALIGN_CHECK_ISPOSITIVE(Rhs);
280   return Lhs.value() > Rhs;
281 }
282 
283 /// Comparisons between MaybeAlign and scalars.
284 inline bool operator==(MaybeAlign Lhs, uint64_t Rhs) {
285   return Lhs ? (*Lhs).value() == Rhs : Rhs == 0;
286 }
287 inline bool operator!=(MaybeAlign Lhs, uint64_t Rhs) {
288   return Lhs ? (*Lhs).value() != Rhs : Rhs != 0;
289 }
290 
291 /// Comparisons operators between Align.
292 inline bool operator==(Align Lhs, Align Rhs) {
293   return Lhs.ShiftValue == Rhs.ShiftValue;
294 }
295 inline bool operator!=(Align Lhs, Align Rhs) {
296   return Lhs.ShiftValue != Rhs.ShiftValue;
297 }
298 inline bool operator<=(Align Lhs, Align Rhs) {
299   return Lhs.ShiftValue <= Rhs.ShiftValue;
300 }
301 inline bool operator>=(Align Lhs, Align Rhs) {
302   return Lhs.ShiftValue >= Rhs.ShiftValue;
303 }
304 inline bool operator<(Align Lhs, Align Rhs) {
305   return Lhs.ShiftValue < Rhs.ShiftValue;
306 }
307 inline bool operator>(Align Lhs, Align Rhs) {
308   return Lhs.ShiftValue > Rhs.ShiftValue;
309 }
310 
311 // Don't allow relational comparisons with MaybeAlign.
312 bool operator<=(Align Lhs, MaybeAlign Rhs) = delete;
313 bool operator>=(Align Lhs, MaybeAlign Rhs) = delete;
314 bool operator<(Align Lhs, MaybeAlign Rhs) = delete;
315 bool operator>(Align Lhs, MaybeAlign Rhs) = delete;
316 
317 bool operator<=(MaybeAlign Lhs, Align Rhs) = delete;
318 bool operator>=(MaybeAlign Lhs, Align Rhs) = delete;
319 bool operator<(MaybeAlign Lhs, Align Rhs) = delete;
320 bool operator>(MaybeAlign Lhs, Align Rhs) = delete;
321 
322 bool operator<=(MaybeAlign Lhs, MaybeAlign Rhs) = delete;
323 bool operator>=(MaybeAlign Lhs, MaybeAlign Rhs) = delete;
324 bool operator<(MaybeAlign Lhs, MaybeAlign Rhs) = delete;
325 bool operator>(MaybeAlign Lhs, MaybeAlign Rhs) = delete;
326 
327 inline Align operator*(Align Lhs, uint64_t Rhs) {
328   assert(Rhs > 0 && "Rhs must be positive");
329   return Align(Lhs.value() * Rhs);
330 }
331 
332 inline MaybeAlign operator*(MaybeAlign Lhs, uint64_t Rhs) {
333   assert(Rhs > 0 && "Rhs must be positive");
334   return Lhs ? Lhs.getValue() * Rhs : MaybeAlign();
335 }
336 
337 inline Align operator/(Align Lhs, uint64_t Divisor) {
338   assert(llvm::isPowerOf2_64(Divisor) &&
339          "Divisor must be positive and a power of 2");
340   assert(Lhs != 1 && "Can't halve byte alignment");
341   return Align(Lhs.value() / Divisor);
342 }
343 
344 inline MaybeAlign operator/(MaybeAlign Lhs, uint64_t Divisor) {
345   assert(llvm::isPowerOf2_64(Divisor) &&
346          "Divisor must be positive and a power of 2");
347   return Lhs ? Lhs.getValue() / Divisor : MaybeAlign();
348 }
349 
350 inline Align max(MaybeAlign Lhs, Align Rhs) {
351   return Lhs && *Lhs > Rhs ? *Lhs : Rhs;
352 }
353 
354 inline Align max(Align Lhs, MaybeAlign Rhs) {
355   return Rhs && *Rhs > Lhs ? *Rhs : Lhs;
356 }
357 
358 #ifndef NDEBUG
359 // For usage in LLVM_DEBUG macros.
360 inline std::string DebugStr(const Align &A) {
361   return std::to_string(A.value());
362 }
363 // For usage in LLVM_DEBUG macros.
364 inline std::string DebugStr(const MaybeAlign &MA) {
365   if (MA)
366     return std::to_string(MA->value());
367   return "None";
368 }
369 #endif // NDEBUG
370 
371 #undef ALIGN_CHECK_ISPOSITIVE
372 
373 } // namespace llvm
374 
375 #endif // LLVM_SUPPORT_ALIGNMENT_H_
376