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1 //---------------------------------------------------------------------------//
2 // Copyright (c) 2013 Kyle Lutz <kyle.r.lutz@gmail.com>
3 //
4 // Distributed under the Boost Software License, Version 1.0
5 // See accompanying file LICENSE_1_0.txt or copy at
6 // http://www.boost.org/LICENSE_1_0.txt
7 //
8 // See http://boostorg.github.com/compute for more information.
9 //---------------------------------------------------------------------------//
10
11 #ifndef BOOST_COMPUTE_RANDOM_MERSENNE_TWISTER_ENGINE_HPP
12 #define BOOST_COMPUTE_RANDOM_MERSENNE_TWISTER_ENGINE_HPP
13
14 #include <algorithm>
15
16 #include <boost/compute/types.hpp>
17 #include <boost/compute/buffer.hpp>
18 #include <boost/compute/kernel.hpp>
19 #include <boost/compute/context.hpp>
20 #include <boost/compute/program.hpp>
21 #include <boost/compute/command_queue.hpp>
22 #include <boost/compute/algorithm/transform.hpp>
23 #include <boost/compute/container/vector.hpp>
24 #include <boost/compute/detail/iterator_range_size.hpp>
25 #include <boost/compute/iterator/discard_iterator.hpp>
26 #include <boost/compute/utility/program_cache.hpp>
27
28 namespace boost {
29 namespace compute {
30
31 /// \class mersenne_twister_engine
32 /// \brief Mersenne twister pseudorandom number generator.
33 template<class T>
34 class mersenne_twister_engine
35 {
36 public:
37 typedef T result_type;
38 static const T default_seed = 5489U;
39 static const T n = 624;
40 static const T m = 397;
41
42 /// Creates a new mersenne_twister_engine and seeds it with \p value.
43 explicit mersenne_twister_engine(command_queue &queue,
44 result_type value = default_seed)
45 : m_context(queue.get_context()),
46 m_state_buffer(m_context, n * sizeof(result_type))
47 {
48 // setup program
49 load_program();
50
51 // seed state
52 seed(value, queue);
53 }
54
55 /// Creates a new mersenne_twister_engine object as a copy of \p other.
56 mersenne_twister_engine(const mersenne_twister_engine<T> &other)
57 : m_context(other.m_context),
58 m_state_index(other.m_state_index),
59 m_program(other.m_program),
60 m_state_buffer(other.m_state_buffer)
61 {
62 }
63
64 /// Copies \p other to \c *this.
65 mersenne_twister_engine<T>& operator=(const mersenne_twister_engine<T> &other)
66 {
67 if(this != &other){
68 m_context = other.m_context;
69 m_state_index = other.m_state_index;
70 m_program = other.m_program;
71 m_state_buffer = other.m_state_buffer;
72 }
73
74 return *this;
75 }
76
77 /// Destroys the mersenne_twister_engine object.
78 ~mersenne_twister_engine()
79 {
80 }
81
82 /// Seeds the random number generator with \p value.
83 ///
84 /// \param value seed value for the random-number generator
85 /// \param queue command queue to perform the operation
86 ///
87 /// If no seed value is provided, \c default_seed is used.
88 void seed(result_type value, command_queue &queue)
89 {
90 kernel seed_kernel = m_program.create_kernel("seed");
91 seed_kernel.set_arg(0, value);
92 seed_kernel.set_arg(1, m_state_buffer);
93
94 queue.enqueue_task(seed_kernel);
95
96 m_state_index = 0;
97 }
98
99 /// \overload
100 void seed(command_queue &queue)
101 {
102 seed(default_seed, queue);
103 }
104
105 /// Generates random numbers and stores them to the range [\p first, \p last).
106 template<class OutputIterator>
107 void generate(OutputIterator first, OutputIterator last, command_queue &queue)
108 {
109 const size_t size = detail::iterator_range_size(first, last);
110
111 kernel fill_kernel(m_program, "fill");
112 fill_kernel.set_arg(0, m_state_buffer);
113 fill_kernel.set_arg(2, first.get_buffer());
114
115 size_t offset = 0;
116 size_t &p = m_state_index;
117
118 for(;;){
119 size_t count = 0;
120 if(size > n){
121 count = (std::min)(static_cast<size_t>(n), size - offset);
122 }
123 else {
124 count = size;
125 }
126 fill_kernel.set_arg(1, static_cast<const uint_>(p));
127 fill_kernel.set_arg(3, static_cast<const uint_>(offset));
128 queue.enqueue_1d_range_kernel(fill_kernel, 0, count, 0);
129
130 p += count;
131 offset += count;
132
133 if(offset >= size){
134 break;
135 }
136
137 generate_state(queue);
138 p = 0;
139 }
140 }
141
142 /// \internal_
143 void generate(discard_iterator first, discard_iterator last, command_queue &queue)
144 {
145 (void) queue;
146
147 m_state_index += std::distance(first, last);
148 }
149
150 /// Generates random numbers, transforms them with \p op, and then stores
151 /// them to the range [\p first, \p last).
152 template<class OutputIterator, class Function>
153 void generate(OutputIterator first, OutputIterator last, Function op, command_queue &queue)
154 {
155 vector<T> tmp(std::distance(first, last), queue.get_context());
156 generate(tmp.begin(), tmp.end(), queue);
157 transform(tmp.begin(), tmp.end(), first, op, queue);
158 }
159
160 /// Generates \p z random numbers and discards them.
161 void discard(size_t z, command_queue &queue)
162 {
163 generate(discard_iterator(0), discard_iterator(z), queue);
164 }
165
166 /// \internal_ (deprecated)
167 template<class OutputIterator>
168 void fill(OutputIterator first, OutputIterator last, command_queue &queue)
169 {
170 generate(first, last, queue);
171 }
172
173 private:
174 /// \internal_
175 void generate_state(command_queue &queue)
176 {
177 kernel generate_state_kernel =
178 m_program.create_kernel("generate_state");
179 generate_state_kernel.set_arg(0, m_state_buffer);
180 queue.enqueue_task(generate_state_kernel);
181 }
182
183 /// \internal_
184 void load_program()
185 {
186 boost::shared_ptr<program_cache> cache =
187 program_cache::get_global_cache(m_context);
188
189 std::string cache_key =
190 std::string("__boost_mersenne_twister_engine_") + type_name<T>();
191
192 const char source[] =
193 "static uint twiddle(uint u, uint v)\n"
194 "{\n"
195 " return (((u & 0x80000000U) | (v & 0x7FFFFFFFU)) >> 1) ^\n"
196 " ((v & 1U) ? 0x9908B0DFU : 0x0U);\n"
197 "}\n"
198
199 "__kernel void generate_state(__global uint *state)\n"
200 "{\n"
201 " const uint n = 624;\n"
202 " const uint m = 397;\n"
203 " for(uint i = 0; i < (n - m); i++)\n"
204 " state[i] = state[i+m] ^ twiddle(state[i], state[i+1]);\n"
205 " for(uint i = n - m; i < (n - 1); i++)\n"
206 " state[i] = state[i+m-n] ^ twiddle(state[i], state[i+1]);\n"
207 " state[n-1] = state[m-1] ^ twiddle(state[n-1], state[0]);\n"
208 "}\n"
209
210 "__kernel void seed(const uint s, __global uint *state)\n"
211 "{\n"
212 " const uint n = 624;\n"
213 " state[0] = s & 0xFFFFFFFFU;\n"
214 " for(uint i = 1; i < n; i++){\n"
215 " state[i] = 1812433253U * (state[i-1] ^ (state[i-1] >> 30)) + i;\n"
216 " state[i] &= 0xFFFFFFFFU;\n"
217 " }\n"
218 " generate_state(state);\n"
219 "}\n"
220
221 "static uint random_number(__global uint *state, const uint p)\n"
222 "{\n"
223 " uint x = state[p];\n"
224 " x ^= (x >> 11);\n"
225 " x ^= (x << 7) & 0x9D2C5680U;\n"
226 " x ^= (x << 15) & 0xEFC60000U;\n"
227 " return x ^ (x >> 18);\n"
228 "}\n"
229
230 "__kernel void fill(__global uint *state,\n"
231 " const uint state_index,\n"
232 " __global uint *vector,\n"
233 " const uint offset)\n"
234 "{\n"
235 " const uint i = get_global_id(0);\n"
236 " vector[offset+i] = random_number(state, state_index + i);\n"
237 "}\n";
238
239 m_program = cache->get_or_build(cache_key, std::string(), source, m_context);
240 }
241
242 private:
243 context m_context;
244 size_t m_state_index;
245 program m_program;
246 buffer m_state_buffer;
247 };
248
249 typedef mersenne_twister_engine<uint_> mt19937;
250
251 } // end compute namespace
252 } // end boost namespace
253
254 #endif // BOOST_COMPUTE_RANDOM_MERSENNE_TWISTER_ENGINE_HPP