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 the previous alignment.
88   Align previous() const {
89     assert(ShiftValue != 0 && "Undefined operation");
90     Align Out;
91     Out.ShiftValue = ShiftValue - 1;
92     return Out;
93   }
94 
95   /// Allow constructions of constexpr Align.
96   template <size_t kValue> constexpr static LogValue Constant() {
97     return LogValue{static_cast<uint8_t>(CTLog2<kValue>())};
98   }
99 
100   /// Allow constructions of constexpr Align from types.
101   /// Compile time equivalent to Align(alignof(T)).
102   template <typename T> constexpr static LogValue Of() {
103     return Constant<std::alignment_of<T>::value>();
104   }
105 
106   /// Constexpr constructor from LogValue type.
107   constexpr Align(LogValue CA) : ShiftValue(CA.Log) {}
108 };
109 
110 /// Treats the value 0 as a 1, so Align is always at least 1.
111 inline Align assumeAligned(uint64_t Value) {
112   return Value ? Align(Value) : Align();
113 }
114 
115 /// This struct is a compact representation of a valid (power of two) or
116 /// undefined (0) alignment.
117 struct MaybeAlign : public llvm::Optional<Align> {
118 private:
119   using UP = llvm::Optional<Align>;
120 
121 public:
122   /// Default is undefined.
123   MaybeAlign() = default;
124   /// Do not perform checks in case of copy/move construct/assign, because the
125   /// checks have been performed when building `Other`.
126   MaybeAlign(const MaybeAlign &Other) = default;
127   MaybeAlign &operator=(const MaybeAlign &Other) = default;
128   MaybeAlign(MaybeAlign &&Other) = default;
129   MaybeAlign &operator=(MaybeAlign &&Other) = default;
130 
131   /// Use llvm::Optional<Align> constructor.
132   using UP::UP;
133 
134   explicit MaybeAlign(uint64_t Value) {
135     assert((Value == 0 || llvm::isPowerOf2_64(Value)) &&
136            "Alignment is neither 0 nor a power of 2");
137     if (Value)
138       emplace(Value);
139   }
140 
141   /// For convenience, returns a valid alignment or 1 if undefined.
142   Align valueOrOne() const { return value_or(Align()); }
143 };
144 
145 /// Checks that SizeInBytes is a multiple of the alignment.
146 inline bool isAligned(Align Lhs, uint64_t SizeInBytes) {
147   return SizeInBytes % Lhs.value() == 0;
148 }
149 
150 /// Checks that Addr is a multiple of the alignment.
151 inline bool isAddrAligned(Align Lhs, const void *Addr) {
152   return isAligned(Lhs, reinterpret_cast<uintptr_t>(Addr));
153 }
154 
155 /// Returns a multiple of A needed to store `Size` bytes.
156 inline uint64_t alignTo(uint64_t Size, Align A) {
157   const uint64_t Value = A.value();
158   // The following line is equivalent to `(Size + Value - 1) / Value * Value`.
159 
160   // The division followed by a multiplication can be thought of as a right
161   // shift followed by a left shift which zeros out the extra bits produced in
162   // the bump; `~(Value - 1)` is a mask where all those bits being zeroed out
163   // are just zero.
164 
165   // Most compilers can generate this code but the pattern may be missed when
166   // multiple functions gets inlined.
167   return (Size + Value - 1) & ~(Value - 1U);
168 }
169 
170 /// If non-zero \p Skew is specified, the return value will be a minimal integer
171 /// that is greater than or equal to \p Size and equal to \p A * N + \p Skew for
172 /// some integer N. If \p Skew is larger than \p A, its value is adjusted to '\p
173 /// Skew mod \p A'.
174 ///
175 /// Examples:
176 /// \code
177 ///   alignTo(5, Align(8), 7) = 7
178 ///   alignTo(17, Align(8), 1) = 17
179 ///   alignTo(~0LL, Align(8), 3) = 3
180 /// \endcode
181 inline uint64_t alignTo(uint64_t Size, Align A, uint64_t Skew) {
182   const uint64_t Value = A.value();
183   Skew %= Value;
184   return alignTo(Size - Skew, A) + Skew;
185 }
186 
187 /// Aligns `Addr` to `Alignment` bytes, rounding up.
188 inline uintptr_t alignAddr(const void *Addr, Align Alignment) {
189   uintptr_t ArithAddr = reinterpret_cast<uintptr_t>(Addr);
190   assert(static_cast<uintptr_t>(ArithAddr + Alignment.value() - 1) >=
191              ArithAddr &&
192          "Overflow");
193   return alignTo(ArithAddr, Alignment);
194 }
195 
196 /// Returns the offset to the next integer (mod 2**64) that is greater than
197 /// or equal to \p Value and is a multiple of \p Align.
198 inline uint64_t offsetToAlignment(uint64_t Value, Align Alignment) {
199   return alignTo(Value, Alignment) - Value;
200 }
201 
202 /// Returns the necessary adjustment for aligning `Addr` to `Alignment`
203 /// bytes, rounding up.
204 inline uint64_t offsetToAlignedAddr(const void *Addr, Align Alignment) {
205   return offsetToAlignment(reinterpret_cast<uintptr_t>(Addr), Alignment);
206 }
207 
208 /// Returns the log2 of the alignment.
209 inline unsigned Log2(Align A) { return A.ShiftValue; }
210 
211 /// Returns the alignment that satisfies both alignments.
212 /// Same semantic as MinAlign.
213 inline Align commonAlignment(Align A, uint64_t Offset) {
214   return Align(MinAlign(A.value(), Offset));
215 }
216 
217 /// Returns a representation of the alignment that encodes undefined as 0.
218 inline unsigned encode(MaybeAlign A) { return A ? A->ShiftValue + 1 : 0; }
219 
220 /// Dual operation of the encode function above.
221 inline MaybeAlign decodeMaybeAlign(unsigned Value) {
222   if (Value == 0)
223     return MaybeAlign();
224   Align Out;
225   Out.ShiftValue = Value - 1;
226   return Out;
227 }
228 
229 /// Returns a representation of the alignment, the encoded value is positive by
230 /// definition.
231 inline unsigned encode(Align A) { return encode(MaybeAlign(A)); }
232 
233 /// Comparisons between Align and scalars. Rhs must be positive.
234 inline bool operator==(Align Lhs, uint64_t Rhs) {
235   ALIGN_CHECK_ISPOSITIVE(Rhs);
236   return Lhs.value() == Rhs;
237 }
238 inline bool operator!=(Align Lhs, uint64_t Rhs) {
239   ALIGN_CHECK_ISPOSITIVE(Rhs);
240   return Lhs.value() != Rhs;
241 }
242 inline bool operator<=(Align Lhs, uint64_t Rhs) {
243   ALIGN_CHECK_ISPOSITIVE(Rhs);
244   return Lhs.value() <= Rhs;
245 }
246 inline bool operator>=(Align Lhs, uint64_t Rhs) {
247   ALIGN_CHECK_ISPOSITIVE(Rhs);
248   return Lhs.value() >= Rhs;
249 }
250 inline bool operator<(Align Lhs, uint64_t Rhs) {
251   ALIGN_CHECK_ISPOSITIVE(Rhs);
252   return Lhs.value() < Rhs;
253 }
254 inline bool operator>(Align Lhs, uint64_t Rhs) {
255   ALIGN_CHECK_ISPOSITIVE(Rhs);
256   return Lhs.value() > Rhs;
257 }
258 
259 /// Comparisons operators between Align.
260 inline bool operator==(Align Lhs, Align Rhs) {
261   return Lhs.ShiftValue == Rhs.ShiftValue;
262 }
263 inline bool operator!=(Align Lhs, Align Rhs) {
264   return Lhs.ShiftValue != Rhs.ShiftValue;
265 }
266 inline bool operator<=(Align Lhs, Align Rhs) {
267   return Lhs.ShiftValue <= Rhs.ShiftValue;
268 }
269 inline bool operator>=(Align Lhs, Align Rhs) {
270   return Lhs.ShiftValue >= Rhs.ShiftValue;
271 }
272 inline bool operator<(Align Lhs, Align Rhs) {
273   return Lhs.ShiftValue < Rhs.ShiftValue;
274 }
275 inline bool operator>(Align Lhs, Align Rhs) {
276   return Lhs.ShiftValue > Rhs.ShiftValue;
277 }
278 
279 // Don't allow relational comparisons with MaybeAlign.
280 bool operator<=(Align Lhs, MaybeAlign Rhs) = delete;
281 bool operator>=(Align Lhs, MaybeAlign Rhs) = delete;
282 bool operator<(Align Lhs, MaybeAlign Rhs) = delete;
283 bool operator>(Align Lhs, MaybeAlign Rhs) = delete;
284 
285 bool operator<=(MaybeAlign Lhs, Align Rhs) = delete;
286 bool operator>=(MaybeAlign Lhs, Align Rhs) = delete;
287 bool operator<(MaybeAlign Lhs, Align Rhs) = delete;
288 bool operator>(MaybeAlign Lhs, Align Rhs) = delete;
289 
290 bool operator<=(MaybeAlign Lhs, MaybeAlign Rhs) = delete;
291 bool operator>=(MaybeAlign Lhs, MaybeAlign Rhs) = delete;
292 bool operator<(MaybeAlign Lhs, MaybeAlign Rhs) = delete;
293 bool operator>(MaybeAlign Lhs, MaybeAlign Rhs) = delete;
294 
295 #ifndef NDEBUG
296 // For usage in LLVM_DEBUG macros.
297 inline std::string DebugStr(const Align &A) {
298   return std::to_string(A.value());
299 }
300 // For usage in LLVM_DEBUG macros.
301 inline std::string DebugStr(const MaybeAlign &MA) {
302   if (MA)
303     return std::to_string(MA->value());
304   return "None";
305 }
306 #endif // NDEBUG
307 
308 #undef ALIGN_CHECK_ISPOSITIVE
309 
310 } // namespace llvm
311 
312 #endif // LLVM_SUPPORT_ALIGNMENT_H_
313