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rocrand_threefry4_impl.h
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22 Copyright 2010-2011, D. E. Shaw Research.
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52 
53 #ifndef ROCRAND_THREEFRY4_IMPL_H_
54 #define ROCRAND_THREEFRY4_IMPL_H_
55 
56 #include "rocrand/rocrand_threefry_common.h"
57 #include <rocrand/rocrand_common.h>
58 
59 #ifndef THREEFRY4x32_DEFAULT_ROUNDS
60  #define THREEFRY4x32_DEFAULT_ROUNDS 20
61 #endif
62 
63 #ifndef THREEFRY4x64_DEFAULT_ROUNDS
64  #define THREEFRY4x64_DEFAULT_ROUNDS 20
65 #endif
66 
67 namespace rocrand_device
68 {
69 
70 template<class value>
71 __forceinline__ __device__ __host__ int threefry_rotation_array(int indexX, int indexY) = delete;
72 
73 template<>
74 __forceinline__ __device__ __host__ int threefry_rotation_array<unsigned int>(int indexX,
75  int indexY)
76 {
77  // Output from skein_rot_search: (srs-B128-X5000.out)
78  // Random seed = 1. BlockSize = 64 bits. sampleCnt = 1024. rounds = 8, minHW_or=28
79  // Start: Mon Aug 24 22:41:36 2009
80  // ...
81  // rMin = 0.472. #0A4B[*33] [CRC=DD1ECE0F. hw_OR=31. cnt=16384. blkSize= 128].format
82  static constexpr int THREEFRY_ROTATION_32_4[8][2] = {
83  {10, 26},
84  {11, 21},
85  {13, 27},
86  {23, 5},
87  { 6, 20},
88  {17, 11},
89  {25, 10},
90  {18, 20}
91  };
92  return THREEFRY_ROTATION_32_4[indexX][indexY];
93 }
94 
95 template<>
96 __forceinline__ __device__ __host__ int threefry_rotation_array<unsigned long long>(int indexX,
97  int indexY)
98 {
99  // These are the R_256 constants from the Threefish reference sources
100  // with names changed to R_64x4... */
101  static constexpr int THREEFRY_ROTATION_64_4[8][2] = {
102  {14, 16},
103  {52, 57},
104  {23, 40},
105  { 5, 37},
106  {25, 33},
107  {46, 12},
108  {58, 22},
109  {32, 32}
110  };
111  return THREEFRY_ROTATION_64_4[indexX][indexY];
112 }
113 
114 template<typename state_value, typename value, unsigned int Nrounds>
115 class threefry_engine4_base
116 {
117 public:
118  struct threefry_state_4
119  {
120  state_value counter;
121  state_value key;
122  state_value result;
123  unsigned int substate;
124  };
125  using state_type = threefry_state_4;
126  using state_vector_type = state_value;
127 
129  __forceinline__ __device__ __host__ void discard(unsigned long long offset)
130  {
131  this->discard_impl(offset);
132  this->m_state.result = this->threefry_rounds(m_state.counter, m_state.key);
133  }
134 
140  __forceinline__ __device__ __host__ void discard_subsequence(unsigned long long subsequence)
141  {
142  this->discard_subsequence_impl(subsequence);
143  m_state.result = this->threefry_rounds(m_state.counter, m_state.key);
144  }
145 
146  __forceinline__ __device__ __host__ value operator()()
147  {
148  return this->next();
149  }
150 
151  __forceinline__ __device__ __host__ value next()
152  {
153 #if defined(__HIP_PLATFORM_AMD__)
154  value ret = m_state.result.data[m_state.substate];
155 #else
156  value ret = (&m_state.result.x)[m_state.substate];
157 #endif
158  m_state.substate++;
159  if(m_state.substate == 4)
160  {
161  m_state.substate = 0;
162  m_state.counter = this->bump_counter(m_state.counter);
163  m_state.result = this->threefry_rounds(m_state.counter, m_state.key);
164  }
165  return ret;
166  }
167 
168  __forceinline__ __device__ __host__ state_value next4()
169  {
170  state_value ret = m_state.result;
171  m_state.counter = this->bump_counter(m_state.counter);
172  m_state.result = this->threefry_rounds(m_state.counter, m_state.key);
173 
174  return this->interleave(ret, m_state.result);
175  }
176 
177 protected:
178  __forceinline__ __device__ __host__ static state_value threefry_rounds(state_value counter,
179  state_value key)
180  {
181  state_value X;
182  value ks[4 + 1];
183 
184  static_assert(Nrounds <= 72, "72 or less only supported in threefry rounds");
185 
186  ks[4] = skein_ks_parity<value>();
187 
188  ks[0] = key.x;
189  ks[1] = key.y;
190  ks[2] = key.z;
191  ks[3] = key.w;
192 
193  X.x = counter.x;
194  X.y = counter.y;
195  X.z = counter.z;
196  X.w = counter.w;
197 
198  ks[4] ^= key.x;
199  ks[4] ^= key.y;
200  ks[4] ^= key.z;
201  ks[4] ^= key.w;
202 
203  /* Insert initial key before round 0 */
204  X.x += ks[0];
205  X.y += ks[1];
206  X.z += ks[2];
207  X.w += ks[3];
208 
209  for(unsigned int round_idx = 0; round_idx < Nrounds; round_idx++)
210  {
211  int rot_0 = threefry_rotation_array<value>(round_idx & 7u, 0);
212  int rot_1 = threefry_rotation_array<value>(round_idx & 7u, 1);
213  if((round_idx & 2u) == 0)
214  {
215  X.x += X.y;
216  X.y = rotl<value>(X.y, rot_0);
217  X.y ^= X.x;
218  X.z += X.w;
219  X.w = rotl<value>(X.w, rot_1);
220  X.w ^= X.z;
221  }
222  else
223  {
224  X.x += X.w;
225  X.w = rotl<value>(X.w, rot_0);
226  X.w ^= X.x;
227  X.z += X.y;
228  X.y = rotl<value>(X.y, rot_1);
229  X.y ^= X.z;
230  }
231 
232  if((round_idx & 3u) == 3)
233  {
234  unsigned int inject_idx = round_idx / 4;
235  // InjectKey(r = 1 + inject_idx)
236  X.x += ks[(1 + inject_idx) % 5];
237  X.y += ks[(2 + inject_idx) % 5];
238  X.z += ks[(3 + inject_idx) % 5];
239  X.w += ks[(4 + inject_idx) % 5];
240  X.w += 1 + inject_idx;
241  }
242  }
243 
244  return X;
245  }
246 
249  __forceinline__ __device__ __host__ void discard_impl(unsigned long long offset)
250  {
251  // Adjust offset for subset
252  m_state.substate += offset & 3;
253  unsigned long long counter_offset = offset / 4;
254  counter_offset += m_state.substate < 4 ? 0 : 1;
255  m_state.substate += m_state.substate < 4 ? 0 : -4;
256  // Discard states
257  this->discard_state(counter_offset);
258  }
259 
261  __forceinline__ __device__ __host__ void
262  discard_subsequence_impl(unsigned long long subsequence)
263  {
264  value lo, hi;
265  ::rocrand_device::detail::split_ull(lo, hi, subsequence);
266 
267  value old_counter = m_state.counter.z;
268  m_state.counter.z += lo;
269  m_state.counter.w += hi + (m_state.counter.z < old_counter ? 1 : 0);
270  }
271 
274  __forceinline__ __device__ __host__ void discard_state(unsigned long long offset)
275  {
276  value lo, hi;
277  ::rocrand_device::detail::split_ull(lo, hi, offset);
278 
279  state_value old_counter = m_state.counter;
280  m_state.counter.x += lo;
281  m_state.counter.y += hi + (m_state.counter.x < old_counter.x ? 1 : 0);
282  m_state.counter.z += (m_state.counter.y < old_counter.y ? 1 : 0);
283  m_state.counter.w += (m_state.counter.z < old_counter.z ? 1 : 0);
284  }
285 
286  __forceinline__ __device__ __host__ static state_value bump_counter(state_value counter)
287  {
288  counter.x++;
289  value add = counter.x == 0 ? 1 : 0;
290  counter.y += add;
291  add = counter.y == 0 ? add : 0;
292  counter.z += add;
293  add = counter.z == 0 ? add : 0;
294  counter.w += add;
295  return counter;
296  }
297 
298  __forceinline__ __device__ __host__ state_value interleave(const state_value prev,
299  const state_value next) const
300  {
301  switch(m_state.substate)
302  {
303  case 0: return prev;
304  case 1: return state_value{prev.y, prev.z, prev.w, next.x};
305  case 2: return state_value{prev.z, prev.w, next.x, next.y};
306  case 3: return state_value{prev.w, next.x, next.y, next.z};
307  }
308  __builtin_unreachable();
309  }
310 
311 protected:
312  threefry_state_4 m_state;
313 }; // threefry_engine4_base class
314 
315 } // end namespace rocrand_device
316 
317 #endif // ROCRAND_THREEFRY4_IMPL_H_