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1 // Copyright 2017 The Abseil Authors.
2 //
3 // Licensed under the Apache License, Version 2.0 (the "License");
4 // you may not use this file except in compliance with the License.
5 // You may obtain a copy of the License at
6 //
7 //      https://www.apache.org/licenses/LICENSE-2.0
8 //
9 // Unless required by applicable law or agreed to in writing, software
10 // distributed under the License is distributed on an "AS IS" BASIS,
11 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
12 // See the License for the specific language governing permissions and
13 // limitations under the License.
14 
15 #ifndef ABSL_RANDOM_INTERNAL_RANDEN_ENGINE_H_
16 #define ABSL_RANDOM_INTERNAL_RANDEN_ENGINE_H_
17 
18 #include <algorithm>
19 #include <cinttypes>
20 #include <cstdlib>
21 #include <iostream>
22 #include <iterator>
23 #include <limits>
24 #include <type_traits>
25 
26 #include "absl/base/internal/endian.h"
27 #include "absl/meta/type_traits.h"
28 #include "absl/random/internal/iostream_state_saver.h"
29 #include "absl/random/internal/randen.h"
30 
31 namespace absl {
32 ABSL_NAMESPACE_BEGIN
33 namespace random_internal {
34 
35 // Deterministic pseudorandom byte generator with backtracking resistance
36 // (leaking the state does not compromise prior outputs). Based on Reverie
37 // (see "A Robust and Sponge-Like PRNG with Improved Efficiency") instantiated
38 // with an improved Simpira-like permutation.
39 // Returns values of type "T" (must be a built-in unsigned integer type).
40 //
41 // RANDen = RANDom generator or beetroots in Swiss High German.
42 // 'Strong' (well-distributed, unpredictable, backtracking-resistant) random
43 // generator, faster in some benchmarks than std::mt19937_64 and pcg64_c32.
44 template <typename T>
45 class alignas(16) randen_engine {
46  public:
47   // C++11 URBG interface:
48   using result_type = T;
49   static_assert(std::is_unsigned<result_type>::value,
50                 "randen_engine template argument must be a built-in unsigned "
51                 "integer type");
52 
result_type(min)53   static constexpr result_type(min)() {
54     return (std::numeric_limits<result_type>::min)();
55   }
56 
result_type(max)57   static constexpr result_type(max)() {
58     return (std::numeric_limits<result_type>::max)();
59   }
60 
61   explicit randen_engine(result_type seed_value = 0) { seed(seed_value); }
62 
63   template <class SeedSequence,
64             typename = typename absl::enable_if_t<
65                 !std::is_same<SeedSequence, randen_engine>::value>>
randen_engine(SeedSequence && seq)66   explicit randen_engine(SeedSequence&& seq) {
67     seed(seq);
68   }
69 
70   randen_engine(const randen_engine&) = default;
71 
72   // Returns random bits from the buffer in units of result_type.
operator()73   result_type operator()() {
74     // Refill the buffer if needed (unlikely).
75     if (next_ >= kStateSizeT) {
76       next_ = kCapacityT;
77       impl_.Generate(state_);
78     }
79 
80     return little_endian::ToHost(state_[next_++]);
81   }
82 
83   template <class SeedSequence>
84   typename absl::enable_if_t<
85       !std::is_convertible<SeedSequence, result_type>::value>
seed(SeedSequence && seq)86   seed(SeedSequence&& seq) {
87     // Zeroes the state.
88     seed();
89     reseed(seq);
90   }
91 
92   void seed(result_type seed_value = 0) {
93     next_ = kStateSizeT;
94     // Zeroes the inner state and fills the outer state with seed_value to
95     // mimics behaviour of reseed
96     std::fill(std::begin(state_), std::begin(state_) + kCapacityT, 0);
97     std::fill(std::begin(state_) + kCapacityT, std::end(state_), seed_value);
98   }
99 
100   // Inserts entropy into (part of) the state. Calling this periodically with
101   // sufficient entropy ensures prediction resistance (attackers cannot predict
102   // future outputs even if state is compromised).
103   template <class SeedSequence>
reseed(SeedSequence & seq)104   void reseed(SeedSequence& seq) {
105     using sequence_result_type = typename SeedSequence::result_type;
106     static_assert(sizeof(sequence_result_type) == 4,
107                   "SeedSequence::result_type must be 32-bit");
108 
109     constexpr size_t kBufferSize =
110         Randen::kSeedBytes / sizeof(sequence_result_type);
111     alignas(16) sequence_result_type buffer[kBufferSize];
112 
113     // Randen::Absorb XORs the seed into state, which is then mixed by a call
114     // to Randen::Generate. Seeding with only the provided entropy is preferred
115     // to using an arbitrary generate() call, so use [rand.req.seed_seq]
116     // size as a proxy for the number of entropy units that can be generated
117     // without relying on seed sequence mixing...
118     const size_t entropy_size = seq.size();
119     if (entropy_size < kBufferSize) {
120       // ... and only request that many values, or 256-bits, when unspecified.
121       const size_t requested_entropy = (entropy_size == 0) ? 8u : entropy_size;
122       std::fill(std::begin(buffer) + requested_entropy, std::end(buffer), 0);
123       seq.generate(std::begin(buffer), std::begin(buffer) + requested_entropy);
124 #ifdef ABSL_IS_BIG_ENDIAN
125       // Randen expects the seed buffer to be in Little Endian; reverse it on
126       // Big Endian platforms.
127       for (sequence_result_type& e : buffer) {
128         e = absl::little_endian::FromHost(e);
129       }
130 #endif
131       // The Randen paper suggests preferentially initializing even-numbered
132       // 128-bit vectors of the randen state (there are 16 such vectors).
133       // The seed data is merged into the state offset by 128-bits, which
134       // implies prefering seed bytes [16..31, ..., 208..223]. Since the
135       // buffer is 32-bit values, we swap the corresponding buffer positions in
136       // 128-bit chunks.
137       size_t dst = kBufferSize;
138       while (dst > 7) {
139         // leave the odd bucket as-is.
140         dst -= 4;
141         size_t src = dst >> 1;
142         // swap 128-bits into the even bucket
143         std::swap(buffer[--dst], buffer[--src]);
144         std::swap(buffer[--dst], buffer[--src]);
145         std::swap(buffer[--dst], buffer[--src]);
146         std::swap(buffer[--dst], buffer[--src]);
147       }
148     } else {
149       seq.generate(std::begin(buffer), std::end(buffer));
150     }
151     impl_.Absorb(buffer, state_);
152 
153     // Generate will be called when operator() is called
154     next_ = kStateSizeT;
155   }
156 
discard(uint64_t count)157   void discard(uint64_t count) {
158     uint64_t step = std::min<uint64_t>(kStateSizeT - next_, count);
159     count -= step;
160 
161     constexpr uint64_t kRateT = kStateSizeT - kCapacityT;
162     while (count > 0) {
163       next_ = kCapacityT;
164       impl_.Generate(state_);
165       step = std::min<uint64_t>(kRateT, count);
166       count -= step;
167     }
168     next_ += step;
169   }
170 
171   bool operator==(const randen_engine& other) const {
172     return next_ == other.next_ &&
173            std::equal(std::begin(state_), std::end(state_),
174                       std::begin(other.state_));
175   }
176 
177   bool operator!=(const randen_engine& other) const {
178     return !(*this == other);
179   }
180 
181   template <class CharT, class Traits>
182   friend std::basic_ostream<CharT, Traits>& operator<<(
183       std::basic_ostream<CharT, Traits>& os,  // NOLINT(runtime/references)
184       const randen_engine<T>& engine) {       // NOLINT(runtime/references)
185     using numeric_type =
186         typename random_internal::stream_format_type<result_type>::type;
187     auto saver = random_internal::make_ostream_state_saver(os);
188     for (const auto& elem : engine.state_) {
189       // In the case that `elem` is `uint8_t`, it must be cast to something
190       // larger so that it prints as an integer rather than a character. For
191       // simplicity, apply the cast all circumstances.
192       os << static_cast<numeric_type>(little_endian::FromHost(elem))
193          << os.fill();
194     }
195     os << engine.next_;
196     return os;
197   }
198 
199   template <class CharT, class Traits>
200   friend std::basic_istream<CharT, Traits>& operator>>(
201       std::basic_istream<CharT, Traits>& is,  // NOLINT(runtime/references)
202       randen_engine<T>& engine) {             // NOLINT(runtime/references)
203     using numeric_type =
204         typename random_internal::stream_format_type<result_type>::type;
205     result_type state[kStateSizeT];
206     size_t next;
207     for (auto& elem : state) {
208       // It is not possible to read uint8_t from wide streams, so it is
209       // necessary to read a wider type and then cast it to uint8_t.
210       numeric_type value;
211       is >> value;
212       elem = little_endian::ToHost(static_cast<result_type>(value));
213     }
214     is >> next;
215     if (is.fail()) {
216       return is;
217     }
218     std::memcpy(engine.state_, state, sizeof(engine.state_));
219     engine.next_ = next;
220     return is;
221   }
222 
223  private:
224   static constexpr size_t kStateSizeT =
225       Randen::kStateBytes / sizeof(result_type);
226   static constexpr size_t kCapacityT =
227       Randen::kCapacityBytes / sizeof(result_type);
228 
229   // First kCapacityT are `inner', the others are accessible random bits.
230   alignas(16) result_type state_[kStateSizeT];
231   size_t next_;  // index within state_
232   Randen impl_;
233 };
234 
235 }  // namespace random_internal
236 ABSL_NAMESPACE_END
237 }  // namespace absl
238 
239 #endif  // ABSL_RANDOM_INTERNAL_RANDEN_ENGINE_H_
240