1 //===-- llvm/ADT/Hashing.h - Utilities for hashing --------------*- C++ -*-===//
2 //
3 //                     The LLVM Compiler Infrastructure
4 //
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
7 //
8 //===----------------------------------------------------------------------===//
9 //
10 // This file implements the newly proposed standard C++ interfaces for hashing
11 // arbitrary data and building hash functions for user-defined types. This
12 // interface was originally proposed in N3333[1] and is currently under review
13 // for inclusion in a future TR and/or standard.
14 //
15 // The primary interfaces provide are comprised of one type and three functions:
16 //
17 //  -- 'hash_code' class is an opaque type representing the hash code for some
18 //     data. It is the intended product of hashing, and can be used to implement
19 //     hash tables, checksumming, and other common uses of hashes. It is not an
20 //     integer type (although it can be converted to one) because it is risky
21 //     to assume much about the internals of a hash_code. In particular, each
22 //     execution of the program has a high probability of producing a different
23 //     hash_code for a given input. Thus their values are not stable to save or
24 //     persist, and should only be used during the execution for the
25 //     construction of hashing datastructures.
26 //
27 //  -- 'hash_value' is a function designed to be overloaded for each
28 //     user-defined type which wishes to be used within a hashing context. It
29 //     should be overloaded within the user-defined type's namespace and found
30 //     via ADL. Overloads for primitive types are provided by this library.
31 //
32 //  -- 'hash_combine' and 'hash_combine_range' are functions designed to aid
33 //      programmers in easily and intuitively combining a set of data into
34 //      a single hash_code for their object. They should only logically be used
35 //      within the implementation of a 'hash_value' routine or similar context.
36 //
37 // Note that 'hash_combine_range' contains very special logic for hashing
38 // a contiguous array of integers or pointers. This logic is *extremely* fast,
39 // on a modern Intel "Gainestown" Xeon (Nehalem uarch) @2.2 GHz, these were
40 // benchmarked at over 6.5 GiB/s for large keys, and <20 cycles/hash for keys
41 // under 32-bytes.
42 //
43 //===----------------------------------------------------------------------===//
44 
45 #ifndef LLVM_ADT_HASHING_H
46 #define LLVM_ADT_HASHING_H
47 
48 #include "llvm/Support/DataTypes.h"
49 #include "llvm/Support/Host.h"
50 #include "llvm/Support/SwapByteOrder.h"
51 #include "llvm/Support/type_traits.h"
52 #include <algorithm>
53 #include <cassert>
54 #include <cstring>
55 #include <string>
56 #include <utility>
57 
58 namespace llvm {
59 
60 /// An opaque object representing a hash code.
61 ///
62 /// This object represents the result of hashing some entity. It is intended to
63 /// be used to implement hashtables or other hashing-based data structures.
64 /// While it wraps and exposes a numeric value, this value should not be
65 /// trusted to be stable or predictable across processes or executions.
66 ///
67 /// In order to obtain the hash_code for an object 'x':
68 /// \code
69 ///   using llvm::hash_value;
70 ///   llvm::hash_code code = hash_value(x);
71 /// \endcode
72 class hash_code {
73   size_t value;
74 
75 public:
76   /// Default construct a hash_code.
77   /// Note that this leaves the value uninitialized.
78   hash_code() = default;
79 
80   /// Form a hash code directly from a numerical value.
hash_code(size_t value)81   hash_code(size_t value) : value(value) {}
82 
83   /// Convert the hash code to its numerical value for use.
size_t()84   /*explicit*/ operator size_t() const { return value; }
85 
86   friend bool operator==(const hash_code &lhs, const hash_code &rhs) {
87     return lhs.value == rhs.value;
88   }
89   friend bool operator!=(const hash_code &lhs, const hash_code &rhs) {
90     return lhs.value != rhs.value;
91   }
92 
93   /// Allow a hash_code to be directly run through hash_value.
hash_value(const hash_code & code)94   friend size_t hash_value(const hash_code &code) { return code.value; }
95 };
96 
97 /// Compute a hash_code for any integer value.
98 ///
99 /// Note that this function is intended to compute the same hash_code for
100 /// a particular value without regard to the pre-promotion type. This is in
101 /// contrast to hash_combine which may produce different hash_codes for
102 /// differing argument types even if they would implicit promote to a common
103 /// type without changing the value.
104 template <typename T>
105 typename std::enable_if<is_integral_or_enum<T>::value, hash_code>::type
106 hash_value(T value);
107 
108 /// Compute a hash_code for a pointer's address.
109 ///
110 /// N.B.: This hashes the *address*. Not the value and not the type.
111 template <typename T> hash_code hash_value(const T *ptr);
112 
113 /// Compute a hash_code for a pair of objects.
114 template <typename T, typename U>
115 hash_code hash_value(const std::pair<T, U> &arg);
116 
117 /// Compute a hash_code for a standard string.
118 template <typename T>
119 hash_code hash_value(const std::basic_string<T> &arg);
120 
121 
122 /// Override the execution seed with a fixed value.
123 ///
124 /// This hashing library uses a per-execution seed designed to change on each
125 /// run with high probability in order to ensure that the hash codes are not
126 /// attackable and to ensure that output which is intended to be stable does
127 /// not rely on the particulars of the hash codes produced.
128 ///
129 /// That said, there are use cases where it is important to be able to
130 /// reproduce *exactly* a specific behavior. To that end, we provide a function
131 /// which will forcibly set the seed to a fixed value. This must be done at the
132 /// start of the program, before any hashes are computed. Also, it cannot be
133 /// undone. This makes it thread-hostile and very hard to use outside of
134 /// immediately on start of a simple program designed for reproducible
135 /// behavior.
136 void set_fixed_execution_hash_seed(uint64_t fixed_value);
137 
138 
139 // All of the implementation details of actually computing the various hash
140 // code values are held within this namespace. These routines are included in
141 // the header file mainly to allow inlining and constant propagation.
142 namespace hashing {
143 namespace detail {
144 
fetch64(const char * p)145 inline uint64_t fetch64(const char *p) {
146   uint64_t result;
147   memcpy(&result, p, sizeof(result));
148   if (sys::IsBigEndianHost)
149     sys::swapByteOrder(result);
150   return result;
151 }
152 
fetch32(const char * p)153 inline uint32_t fetch32(const char *p) {
154   uint32_t result;
155   memcpy(&result, p, sizeof(result));
156   if (sys::IsBigEndianHost)
157     sys::swapByteOrder(result);
158   return result;
159 }
160 
161 /// Some primes between 2^63 and 2^64 for various uses.
162 static const uint64_t k0 = 0xc3a5c85c97cb3127ULL;
163 static const uint64_t k1 = 0xb492b66fbe98f273ULL;
164 static const uint64_t k2 = 0x9ae16a3b2f90404fULL;
165 static const uint64_t k3 = 0xc949d7c7509e6557ULL;
166 
167 /// Bitwise right rotate.
168 /// Normally this will compile to a single instruction, especially if the
169 /// shift is a manifest constant.
rotate(uint64_t val,size_t shift)170 inline uint64_t rotate(uint64_t val, size_t shift) {
171   // Avoid shifting by 64: doing so yields an undefined result.
172   return shift == 0 ? val : ((val >> shift) | (val << (64 - shift)));
173 }
174 
shift_mix(uint64_t val)175 inline uint64_t shift_mix(uint64_t val) {
176   return val ^ (val >> 47);
177 }
178 
hash_16_bytes(uint64_t low,uint64_t high)179 inline uint64_t hash_16_bytes(uint64_t low, uint64_t high) {
180   // Murmur-inspired hashing.
181   const uint64_t kMul = 0x9ddfea08eb382d69ULL;
182   uint64_t a = (low ^ high) * kMul;
183   a ^= (a >> 47);
184   uint64_t b = (high ^ a) * kMul;
185   b ^= (b >> 47);
186   b *= kMul;
187   return b;
188 }
189 
hash_1to3_bytes(const char * s,size_t len,uint64_t seed)190 inline uint64_t hash_1to3_bytes(const char *s, size_t len, uint64_t seed) {
191   uint8_t a = s[0];
192   uint8_t b = s[len >> 1];
193   uint8_t c = s[len - 1];
194   uint32_t y = static_cast<uint32_t>(a) + (static_cast<uint32_t>(b) << 8);
195   uint32_t z = len + (static_cast<uint32_t>(c) << 2);
196   return shift_mix(y * k2 ^ z * k3 ^ seed) * k2;
197 }
198 
hash_4to8_bytes(const char * s,size_t len,uint64_t seed)199 inline uint64_t hash_4to8_bytes(const char *s, size_t len, uint64_t seed) {
200   uint64_t a = fetch32(s);
201   return hash_16_bytes(len + (a << 3), seed ^ fetch32(s + len - 4));
202 }
203 
hash_9to16_bytes(const char * s,size_t len,uint64_t seed)204 inline uint64_t hash_9to16_bytes(const char *s, size_t len, uint64_t seed) {
205   uint64_t a = fetch64(s);
206   uint64_t b = fetch64(s + len - 8);
207   return hash_16_bytes(seed ^ a, rotate(b + len, len)) ^ b;
208 }
209 
hash_17to32_bytes(const char * s,size_t len,uint64_t seed)210 inline uint64_t hash_17to32_bytes(const char *s, size_t len, uint64_t seed) {
211   uint64_t a = fetch64(s) * k1;
212   uint64_t b = fetch64(s + 8);
213   uint64_t c = fetch64(s + len - 8) * k2;
214   uint64_t d = fetch64(s + len - 16) * k0;
215   return hash_16_bytes(rotate(a - b, 43) + rotate(c ^ seed, 30) + d,
216                        a + rotate(b ^ k3, 20) - c + len + seed);
217 }
218 
hash_33to64_bytes(const char * s,size_t len,uint64_t seed)219 inline uint64_t hash_33to64_bytes(const char *s, size_t len, uint64_t seed) {
220   uint64_t z = fetch64(s + 24);
221   uint64_t a = fetch64(s) + (len + fetch64(s + len - 16)) * k0;
222   uint64_t b = rotate(a + z, 52);
223   uint64_t c = rotate(a, 37);
224   a += fetch64(s + 8);
225   c += rotate(a, 7);
226   a += fetch64(s + 16);
227   uint64_t vf = a + z;
228   uint64_t vs = b + rotate(a, 31) + c;
229   a = fetch64(s + 16) + fetch64(s + len - 32);
230   z = fetch64(s + len - 8);
231   b = rotate(a + z, 52);
232   c = rotate(a, 37);
233   a += fetch64(s + len - 24);
234   c += rotate(a, 7);
235   a += fetch64(s + len - 16);
236   uint64_t wf = a + z;
237   uint64_t ws = b + rotate(a, 31) + c;
238   uint64_t r = shift_mix((vf + ws) * k2 + (wf + vs) * k0);
239   return shift_mix((seed ^ (r * k0)) + vs) * k2;
240 }
241 
hash_short(const char * s,size_t length,uint64_t seed)242 inline uint64_t hash_short(const char *s, size_t length, uint64_t seed) {
243   if (length >= 4 && length <= 8)
244     return hash_4to8_bytes(s, length, seed);
245   if (length > 8 && length <= 16)
246     return hash_9to16_bytes(s, length, seed);
247   if (length > 16 && length <= 32)
248     return hash_17to32_bytes(s, length, seed);
249   if (length > 32)
250     return hash_33to64_bytes(s, length, seed);
251   if (length != 0)
252     return hash_1to3_bytes(s, length, seed);
253 
254   return k2 ^ seed;
255 }
256 
257 /// The intermediate state used during hashing.
258 /// Currently, the algorithm for computing hash codes is based on CityHash and
259 /// keeps 56 bytes of arbitrary state.
260 struct hash_state {
261   uint64_t h0, h1, h2, h3, h4, h5, h6;
262 
263   /// Create a new hash_state structure and initialize it based on the
264   /// seed and the first 64-byte chunk.
265   /// This effectively performs the initial mix.
createhash_state266   static hash_state create(const char *s, uint64_t seed) {
267     hash_state state = {
268       0, seed, hash_16_bytes(seed, k1), rotate(seed ^ k1, 49),
269       seed * k1, shift_mix(seed), 0 };
270     state.h6 = hash_16_bytes(state.h4, state.h5);
271     state.mix(s);
272     return state;
273   }
274 
275   /// Mix 32-bytes from the input sequence into the 16-bytes of 'a'
276   /// and 'b', including whatever is already in 'a' and 'b'.
mix_32_byteshash_state277   static void mix_32_bytes(const char *s, uint64_t &a, uint64_t &b) {
278     a += fetch64(s);
279     uint64_t c = fetch64(s + 24);
280     b = rotate(b + a + c, 21);
281     uint64_t d = a;
282     a += fetch64(s + 8) + fetch64(s + 16);
283     b += rotate(a, 44) + d;
284     a += c;
285   }
286 
287   /// Mix in a 64-byte buffer of data.
288   /// We mix all 64 bytes even when the chunk length is smaller, but we
289   /// record the actual length.
mixhash_state290   void mix(const char *s) {
291     h0 = rotate(h0 + h1 + h3 + fetch64(s + 8), 37) * k1;
292     h1 = rotate(h1 + h4 + fetch64(s + 48), 42) * k1;
293     h0 ^= h6;
294     h1 += h3 + fetch64(s + 40);
295     h2 = rotate(h2 + h5, 33) * k1;
296     h3 = h4 * k1;
297     h4 = h0 + h5;
298     mix_32_bytes(s, h3, h4);
299     h5 = h2 + h6;
300     h6 = h1 + fetch64(s + 16);
301     mix_32_bytes(s + 32, h5, h6);
302     std::swap(h2, h0);
303   }
304 
305   /// Compute the final 64-bit hash code value based on the current
306   /// state and the length of bytes hashed.
finalizehash_state307   uint64_t finalize(size_t length) {
308     return hash_16_bytes(hash_16_bytes(h3, h5) + shift_mix(h1) * k1 + h2,
309                          hash_16_bytes(h4, h6) + shift_mix(length) * k1 + h0);
310   }
311 };
312 
313 
314 /// A global, fixed seed-override variable.
315 ///
316 /// This variable can be set using the \see llvm::set_fixed_execution_seed
317 /// function. See that function for details. Do not, under any circumstances,
318 /// set or read this variable.
319 extern uint64_t fixed_seed_override;
320 
get_execution_seed()321 inline uint64_t get_execution_seed() {
322   // FIXME: This needs to be a per-execution seed. This is just a placeholder
323   // implementation. Switching to a per-execution seed is likely to flush out
324   // instability bugs and so will happen as its own commit.
325   //
326   // However, if there is a fixed seed override set the first time this is
327   // called, return that instead of the per-execution seed.
328   const uint64_t seed_prime = 0xff51afd7ed558ccdULL;
329   static uint64_t seed = fixed_seed_override ? fixed_seed_override : seed_prime;
330   return seed;
331 }
332 
333 
334 /// Trait to indicate whether a type's bits can be hashed directly.
335 ///
336 /// A type trait which is true if we want to combine values for hashing by
337 /// reading the underlying data. It is false if values of this type must
338 /// first be passed to hash_value, and the resulting hash_codes combined.
339 //
340 // FIXME: We want to replace is_integral_or_enum and is_pointer here with
341 // a predicate which asserts that comparing the underlying storage of two
342 // values of the type for equality is equivalent to comparing the two values
343 // for equality. For all the platforms we care about, this holds for integers
344 // and pointers, but there are platforms where it doesn't and we would like to
345 // support user-defined types which happen to satisfy this property.
346 template <typename T> struct is_hashable_data
347   : std::integral_constant<bool, ((is_integral_or_enum<T>::value ||
348                                    std::is_pointer<T>::value) &&
349                                   64 % sizeof(T) == 0)> {};
350 
351 // Special case std::pair to detect when both types are viable and when there
352 // is no alignment-derived padding in the pair. This is a bit of a lie because
353 // std::pair isn't truly POD, but it's close enough in all reasonable
354 // implementations for our use case of hashing the underlying data.
355 template <typename T, typename U> struct is_hashable_data<std::pair<T, U> >
356   : std::integral_constant<bool, (is_hashable_data<T>::value &&
357                                   is_hashable_data<U>::value &&
358                                   (sizeof(T) + sizeof(U)) ==
359                                    sizeof(std::pair<T, U>))> {};
360 
361 /// Helper to get the hashable data representation for a type.
362 /// This variant is enabled when the type itself can be used.
363 template <typename T>
364 typename std::enable_if<is_hashable_data<T>::value, T>::type
365 get_hashable_data(const T &value) {
366   return value;
367 }
368 /// Helper to get the hashable data representation for a type.
369 /// This variant is enabled when we must first call hash_value and use the
370 /// result as our data.
371 template <typename T>
372 typename std::enable_if<!is_hashable_data<T>::value, size_t>::type
373 get_hashable_data(const T &value) {
374   using ::llvm::hash_value;
375   return hash_value(value);
376 }
377 
378 /// Helper to store data from a value into a buffer and advance the
379 /// pointer into that buffer.
380 ///
381 /// This routine first checks whether there is enough space in the provided
382 /// buffer, and if not immediately returns false. If there is space, it
383 /// copies the underlying bytes of value into the buffer, advances the
384 /// buffer_ptr past the copied bytes, and returns true.
385 template <typename T>
386 bool store_and_advance(char *&buffer_ptr, char *buffer_end, const T& value,
387                        size_t offset = 0) {
388   size_t store_size = sizeof(value) - offset;
389   if (buffer_ptr + store_size > buffer_end)
390     return false;
391   const char *value_data = reinterpret_cast<const char *>(&value);
392   memcpy(buffer_ptr, value_data + offset, store_size);
393   buffer_ptr += store_size;
394   return true;
395 }
396 
397 /// Implement the combining of integral values into a hash_code.
398 ///
399 /// This overload is selected when the value type of the iterator is
400 /// integral. Rather than computing a hash_code for each object and then
401 /// combining them, this (as an optimization) directly combines the integers.
402 template <typename InputIteratorT>
403 hash_code hash_combine_range_impl(InputIteratorT first, InputIteratorT last) {
404   const uint64_t seed = get_execution_seed();
405   char buffer[64], *buffer_ptr = buffer;
406   char *const buffer_end = std::end(buffer);
407   while (first != last && store_and_advance(buffer_ptr, buffer_end,
408                                             get_hashable_data(*first)))
409     ++first;
410   if (first == last)
411     return hash_short(buffer, buffer_ptr - buffer, seed);
412   assert(buffer_ptr == buffer_end);
413 
414   hash_state state = state.create(buffer, seed);
415   size_t length = 64;
416   while (first != last) {
417     // Fill up the buffer. We don't clear it, which re-mixes the last round
418     // when only a partial 64-byte chunk is left.
419     buffer_ptr = buffer;
420     while (first != last && store_and_advance(buffer_ptr, buffer_end,
421                                               get_hashable_data(*first)))
422       ++first;
423 
424     // Rotate the buffer if we did a partial fill in order to simulate doing
425     // a mix of the last 64-bytes. That is how the algorithm works when we
426     // have a contiguous byte sequence, and we want to emulate that here.
427     std::rotate(buffer, buffer_ptr, buffer_end);
428 
429     // Mix this chunk into the current state.
430     state.mix(buffer);
431     length += buffer_ptr - buffer;
432   };
433 
434   return state.finalize(length);
435 }
436 
437 /// Implement the combining of integral values into a hash_code.
438 ///
439 /// This overload is selected when the value type of the iterator is integral
440 /// and when the input iterator is actually a pointer. Rather than computing
441 /// a hash_code for each object and then combining them, this (as an
442 /// optimization) directly combines the integers. Also, because the integers
443 /// are stored in contiguous memory, this routine avoids copying each value
444 /// and directly reads from the underlying memory.
445 template <typename ValueT>
446 typename std::enable_if<is_hashable_data<ValueT>::value, hash_code>::type
447 hash_combine_range_impl(ValueT *first, ValueT *last) {
448   const uint64_t seed = get_execution_seed();
449   const char *s_begin = reinterpret_cast<const char *>(first);
450   const char *s_end = reinterpret_cast<const char *>(last);
451   const size_t length = std::distance(s_begin, s_end);
452   if (length <= 64)
453     return hash_short(s_begin, length, seed);
454 
455   const char *s_aligned_end = s_begin + (length & ~63);
456   hash_state state = state.create(s_begin, seed);
457   s_begin += 64;
458   while (s_begin != s_aligned_end) {
459     state.mix(s_begin);
460     s_begin += 64;
461   }
462   if (length & 63)
463     state.mix(s_end - 64);
464 
465   return state.finalize(length);
466 }
467 
468 } // namespace detail
469 } // namespace hashing
470 
471 
472 /// Compute a hash_code for a sequence of values.
473 ///
474 /// This hashes a sequence of values. It produces the same hash_code as
475 /// 'hash_combine(a, b, c, ...)', but can run over arbitrary sized sequences
476 /// and is significantly faster given pointers and types which can be hashed as
477 /// a sequence of bytes.
478 template <typename InputIteratorT>
479 hash_code hash_combine_range(InputIteratorT first, InputIteratorT last) {
480   return ::llvm::hashing::detail::hash_combine_range_impl(first, last);
481 }
482 
483 
484 // Implementation details for hash_combine.
485 namespace hashing {
486 namespace detail {
487 
488 /// Helper class to manage the recursive combining of hash_combine
489 /// arguments.
490 ///
491 /// This class exists to manage the state and various calls involved in the
492 /// recursive combining of arguments used in hash_combine. It is particularly
493 /// useful at minimizing the code in the recursive calls to ease the pain
494 /// caused by a lack of variadic functions.
495 struct hash_combine_recursive_helper {
496   char buffer[64];
497   hash_state state;
498   const uint64_t seed;
499 
500 public:
501   /// Construct a recursive hash combining helper.
502   ///
503   /// This sets up the state for a recursive hash combine, including getting
504   /// the seed and buffer setup.
505   hash_combine_recursive_helper()
506     : seed(get_execution_seed()) {}
507 
508   /// Combine one chunk of data into the current in-flight hash.
509   ///
510   /// This merges one chunk of data into the hash. First it tries to buffer
511   /// the data. If the buffer is full, it hashes the buffer into its
512   /// hash_state, empties it, and then merges the new chunk in. This also
513   /// handles cases where the data straddles the end of the buffer.
514   template <typename T>
515   char *combine_data(size_t &length, char *buffer_ptr, char *buffer_end, T data) {
516     if (!store_and_advance(buffer_ptr, buffer_end, data)) {
517       // Check for skew which prevents the buffer from being packed, and do
518       // a partial store into the buffer to fill it. This is only a concern
519       // with the variadic combine because that formation can have varying
520       // argument types.
521       size_t partial_store_size = buffer_end - buffer_ptr;
522       memcpy(buffer_ptr, &data, partial_store_size);
523 
524       // If the store fails, our buffer is full and ready to hash. We have to
525       // either initialize the hash state (on the first full buffer) or mix
526       // this buffer into the existing hash state. Length tracks the *hashed*
527       // length, not the buffered length.
528       if (length == 0) {
529         state = state.create(buffer, seed);
530         length = 64;
531       } else {
532         // Mix this chunk into the current state and bump length up by 64.
533         state.mix(buffer);
534         length += 64;
535       }
536       // Reset the buffer_ptr to the head of the buffer for the next chunk of
537       // data.
538       buffer_ptr = buffer;
539 
540       // Try again to store into the buffer -- this cannot fail as we only
541       // store types smaller than the buffer.
542       if (!store_and_advance(buffer_ptr, buffer_end, data,
543                              partial_store_size))
544         abort();
545     }
546     return buffer_ptr;
547   }
548 
549   /// Recursive, variadic combining method.
550   ///
551   /// This function recurses through each argument, combining that argument
552   /// into a single hash.
553   template <typename T, typename ...Ts>
554   hash_code combine(size_t length, char *buffer_ptr, char *buffer_end,
555                     const T &arg, const Ts &...args) {
556     buffer_ptr = combine_data(length, buffer_ptr, buffer_end, get_hashable_data(arg));
557 
558     // Recurse to the next argument.
559     return combine(length, buffer_ptr, buffer_end, args...);
560   }
561 
562   /// Base case for recursive, variadic combining.
563   ///
564   /// The base case when combining arguments recursively is reached when all
565   /// arguments have been handled. It flushes the remaining buffer and
566   /// constructs a hash_code.
567   hash_code combine(size_t length, char *buffer_ptr, char *buffer_end) {
568     // Check whether the entire set of values fit in the buffer. If so, we'll
569     // use the optimized short hashing routine and skip state entirely.
570     if (length == 0)
571       return hash_short(buffer, buffer_ptr - buffer, seed);
572 
573     // Mix the final buffer, rotating it if we did a partial fill in order to
574     // simulate doing a mix of the last 64-bytes. That is how the algorithm
575     // works when we have a contiguous byte sequence, and we want to emulate
576     // that here.
577     std::rotate(buffer, buffer_ptr, buffer_end);
578 
579     // Mix this chunk into the current state.
580     state.mix(buffer);
581     length += buffer_ptr - buffer;
582 
583     return state.finalize(length);
584   }
585 };
586 
587 } // namespace detail
588 } // namespace hashing
589 
590 /// Combine values into a single hash_code.
591 ///
592 /// This routine accepts a varying number of arguments of any type. It will
593 /// attempt to combine them into a single hash_code. For user-defined types it
594 /// attempts to call a \see hash_value overload (via ADL) for the type. For
595 /// integer and pointer types it directly combines their data into the
596 /// resulting hash_code.
597 ///
598 /// The result is suitable for returning from a user's hash_value
599 /// *implementation* for their user-defined type. Consumers of a type should
600 /// *not* call this routine, they should instead call 'hash_value'.
601 template <typename ...Ts> hash_code hash_combine(const Ts &...args) {
602   // Recursively hash each argument using a helper class.
603   ::llvm::hashing::detail::hash_combine_recursive_helper helper;
604   return helper.combine(0, helper.buffer, helper.buffer + 64, args...);
605 }
606 
607 // Implementation details for implementations of hash_value overloads provided
608 // here.
609 namespace hashing {
610 namespace detail {
611 
612 /// Helper to hash the value of a single integer.
613 ///
614 /// Overloads for smaller integer types are not provided to ensure consistent
615 /// behavior in the presence of integral promotions. Essentially,
616 /// "hash_value('4')" and "hash_value('0' + 4)" should be the same.
617 inline hash_code hash_integer_value(uint64_t value) {
618   // Similar to hash_4to8_bytes but using a seed instead of length.
619   const uint64_t seed = get_execution_seed();
620   const char *s = reinterpret_cast<const char *>(&value);
621   const uint64_t a = fetch32(s);
622   return hash_16_bytes(seed + (a << 3), fetch32(s + 4));
623 }
624 
625 } // namespace detail
626 } // namespace hashing
627 
628 // Declared and documented above, but defined here so that any of the hashing
629 // infrastructure is available.
630 template <typename T>
631 typename std::enable_if<is_integral_or_enum<T>::value, hash_code>::type
632 hash_value(T value) {
633   return ::llvm::hashing::detail::hash_integer_value(
634       static_cast<uint64_t>(value));
635 }
636 
637 // Declared and documented above, but defined here so that any of the hashing
638 // infrastructure is available.
639 template <typename T> hash_code hash_value(const T *ptr) {
640   return ::llvm::hashing::detail::hash_integer_value(
641     reinterpret_cast<uintptr_t>(ptr));
642 }
643 
644 // Declared and documented above, but defined here so that any of the hashing
645 // infrastructure is available.
646 template <typename T, typename U>
647 hash_code hash_value(const std::pair<T, U> &arg) {
648   return hash_combine(arg.first, arg.second);
649 }
650 
651 // Declared and documented above, but defined here so that any of the hashing
652 // infrastructure is available.
653 template <typename T>
654 hash_code hash_value(const std::basic_string<T> &arg) {
655   return hash_combine_range(arg.begin(), arg.end());
656 }
657 
658 } // namespace llvm
659 
660 #endif
661