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 // Copyright (c) 2017-2024 Advanced Micro Devices, Inc. All rights reserved.
 //
 // Permission is hereby granted, free of charge, to any person obtaining a copy
 // of this software and associated documentation files (the "Software"), to deal
 // in the Software without restriction, including without limitation the rights
 // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 // copies of the Software, and to permit persons to whom the Software is
 // furnished to do so, subject to the following conditions:
 //
 // The above copyright notice and this permission notice shall be included in
 // all copies or substantial portions of the Software.
 //
 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL THE
 // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
 // THE SOFTWARE.
  
 #ifndef ROCRAND_XORWOW_H_
 #define ROCRAND_XORWOW_H_
  
 #include "rocrand/rocrand_common.h"
 #include "rocrand/rocrand_xorwow_precomputed.h"
  
  #define ROCRAND_XORWOW_DEFAULT_SEED 0ULL // end of group rocranddevice
  
 namespace rocrand_device {
 namespace detail {
  
 __forceinline__ __device__ __host__ void copy_vec(unsigned int* dst, const unsigned int* src)
 {
     for (int i = 0; i < XORWOW_N; i++)
     {
         dst[i] = src[i];
     }
 }
  
 __forceinline__ __device__ __host__ void mul_mat_vec_inplace(const unsigned int* m, unsigned int* v)
 {
     unsigned int r[XORWOW_N] = { 0 };
     for (int ij = 0; ij < XORWOW_N * XORWOW_M; ij++)
     {
         const int i = ij / XORWOW_M;
         const int j = ij % XORWOW_M;
         const unsigned int b = (v[i] & (1U << j)) ? 0xffffffff : 0x0;
         for (int k = 0; k < XORWOW_N; k++)
         {
             r[k] ^= b & m[i * XORWOW_M * XORWOW_N + j * XORWOW_N + k];
         }
     }
     copy_vec(v, r);
 }
  
 } // end detail namespace
  
 class xorwow_engine
 {
 public:
     struct xorwow_state
     {
         // Weyl sequence value
         unsigned int d;
  
     #ifndef ROCRAND_DETAIL_BM_NOT_IN_STATE
         // The Box–Muller transform requires two inputs to convert uniformly
         // distributed real values [0; 1] to normally distributed real values
         // (with mean = 0, and stddev = 1). Often user wants only one
         // normally distributed number, to save performance and random
         // numbers the 2nd value is saved for future requests.
         unsigned int boxmuller_float_state; // is there a float in boxmuller_float
         unsigned int boxmuller_double_state; // is there a double in boxmuller_double
         float boxmuller_float; // normally distributed float
         double boxmuller_double; // normally distributed double
     #endif
  
         // Xorshift values (160 bits)
         unsigned int x[5];
     };
  
     __forceinline__ __device__ __host__ xorwow_engine()
         : xorwow_engine(ROCRAND_XORWOW_DEFAULT_SEED, 0, 0)
     {}
  
     __forceinline__ __device__ __host__ xorwow_engine(const unsigned long long seed,
                                                       const unsigned long long subsequence,
                                                       const unsigned long long offset)
     {
         m_state.x[0] = 123456789U;
         m_state.x[1] = 362436069U;
         m_state.x[2] = 521288629U;
         m_state.x[3] = 88675123U;
         m_state.x[4] = 5783321U;
  
         m_state.d = 6615241U;
  
         // Constants are arbitrary prime numbers
         const unsigned int s0 = static_cast<unsigned int>(seed) ^ 0x2c7f967fU;
         const unsigned int s1 = static_cast<unsigned int>(seed >> 32) ^ 0xa03697cbU;
         const unsigned int t0 = 1228688033U * s0;
         const unsigned int t1 = 2073658381U * s1;
         m_state.x[0] += t0;
         m_state.x[1] ^= t0;
         m_state.x[2] += t1;
         m_state.x[3] ^= t1;
         m_state.x[4] += t0;
         m_state.d += t1 + t0;
  
         discard_subsequence(subsequence);
         discard(offset);
  
     #ifndef ROCRAND_DETAIL_BM_NOT_IN_STATE
         m_state.boxmuller_float_state = 0;
         m_state.boxmuller_double_state = 0;
     #endif
     }
  
     __forceinline__ __device__ __host__ void discard(unsigned long long offset)
     {
         #ifdef __HIP_DEVICE_COMPILE__
         jump(offset, d_xorwow_jump_matrices);
         #else
         jump(offset, h_xorwow_jump_matrices);
         #endif
  
         // Apply n steps to Weyl sequence value as well
         m_state.d += static_cast<unsigned int>(offset) * 362437;
     }
  
     __forceinline__ __device__ __host__ void discard_subsequence(unsigned long long subsequence)
     {
         // Discard n * 2^67 samples
         #ifdef __HIP_DEVICE_COMPILE__
         jump(subsequence, d_xorwow_sequence_jump_matrices);
         #else
         jump(subsequence, h_xorwow_sequence_jump_matrices);
         #endif
  
         // d has the same value because 2^67 is divisible by 2^32 (d is 32-bit)
     }
  
     __forceinline__ __device__ __host__ unsigned int operator()()
     {
         return next();
     }
  
     __forceinline__ __device__ __host__ unsigned int next()
     {
         const unsigned int t = m_state.x[0] ^ (m_state.x[0] >> 2);
         m_state.x[0] = m_state.x[1];
         m_state.x[1] = m_state.x[2];
         m_state.x[2] = m_state.x[3];
         m_state.x[3] = m_state.x[4];
         m_state.x[4] = (m_state.x[4] ^ (m_state.x[4] << 4)) ^ (t ^ (t << 1));
  
         m_state.d += 362437;
  
         return m_state.d + m_state.x[4];
     }
  
 protected:
     __forceinline__ __device__ __host__ void
         jump(unsigned long long v,
              const unsigned int jump_matrices[XORWOW_JUMP_MATRICES][XORWOW_SIZE])
     {
         // x~(n + v) = (A^v mod m)x~n mod m
         // The matrix (A^v mod m) can be precomputed for selected values of v.
         //
         // For XORWOW_JUMP_LOG2 = 2
         // xorwow_jump_matrices contains precomputed matrices:
         //   A^1, A^4, A^16...
         //
         // For XORWOW_JUMP_LOG2 = 2 and XORWOW_SEQUENCE_JUMP_LOG2 = 67
         // xorwow_sequence_jump_matrices contains precomputed matrices:
         //   A^(1 * 2^67), A^(4 * 2^67), A^(16 * 2^67)...
         //
         // Intermediate powers can be calculated as multiplication of the powers above.
  
         unsigned int mi = 0;
         while (v > 0)
         {
             const unsigned int is = static_cast<unsigned int>(v) & ((1 << XORWOW_JUMP_LOG2) - 1);
             for (unsigned int i = 0; i < is; i++)
             {
                 detail::mul_mat_vec_inplace(jump_matrices[mi], m_state.x);
             }
             mi++;
             v >>= XORWOW_JUMP_LOG2;
         }
     }
  
 protected:
     // State
     xorwow_state m_state;
  
     #ifndef ROCRAND_DETAIL_BM_NOT_IN_STATE
     friend struct detail::engine_boxmuller_helper<xorwow_engine>;
     #endif
  
 }; // xorwow_engine class
  
 } // end namespace rocrand_device
  
 typedef rocrand_device::xorwow_engine rocrand_state_xorwow;
  
 __forceinline__ __device__ __host__ void rocrand_init(const unsigned long long seed,
                                                       const unsigned long long subsequence,
                                                       const unsigned long long offset,
                                                       rocrand_state_xorwow*    state)
 {
     *state = rocrand_state_xorwow(seed, subsequence, offset);
 }
  
 __forceinline__ __device__ __host__ unsigned int rocrand(rocrand_state_xorwow* state)
 {
     return state->next();
 }
  
 __forceinline__ __device__ __host__ void skipahead(unsigned long long    offset,
                                                    rocrand_state_xorwow* state)
 {
     return state->discard(offset);
 }
  
 __forceinline__ __device__ __host__ void skipahead_subsequence(unsigned long long    subsequence,
                                                                rocrand_state_xorwow* state)
 {
     return state->discard_subsequence(subsequence);
 }
  
 __forceinline__ __device__ __host__ void skipahead_sequence(unsigned long long    sequence,
                                                             rocrand_state_xorwow* state)
 {
     return state->discard_subsequence(sequence);
 }
  
 #endif // ROCRAND_XORWOW_H_
  // end of group rocranddevice