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 // Copyright (c) 2022-2024 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_MRG31K3P_H_
 #define ROCRAND_MRG31K3P_H_
  
 #include "rocrand/rocrand_common.h"
 #include "rocrand/rocrand_mrg31k3p_precomputed.h"
  
 #define ROCRAND_MRG31K3P_M1 2147483647U // 2 ^ 31 - 1
 #define ROCRAND_MRG31K3P_M2 2147462579U // 2 ^ 31 - 21069
 #define ROCRAND_MRG31K3P_MASK12 511U // 2 ^ 9 - 1
 #define ROCRAND_MRG31K3P_MASK13 16777215U // 2 ^ 24 - 1
 #define ROCRAND_MRG31K3P_MASK21 65535U // 2 ^ 16 - 1
 #define ROCRAND_MRG31K3P_NORM_DOUBLE (4.656612875245796923e-10) // 1 / ROCRAND_MRG31K3P_M1
 #define ROCRAND_MRG31K3P_UINT32_NORM \
     (2.000000001396983862) // UINT32_MAX / (ROCRAND_MRG31K3P_M1 - 1)
  
 #define ROCRAND_MRG31K3P_DEFAULT_SEED 12345ULL // end of group rocranddevice
  
 namespace rocrand_device
 {
  
 class mrg31k3p_engine
 {
 public:
     struct mrg31k3p_state
     {
         unsigned int x1[3];
         unsigned int x2[3];
  
 #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
     };
  
     __forceinline__ __device__ __host__ mrg31k3p_engine()
     {
         this->seed(ROCRAND_MRG31K3P_DEFAULT_SEED, 0, 0);
     }
  
     __forceinline__ __device__ __host__ mrg31k3p_engine(const unsigned long long seed,
                                                         const unsigned long long subsequence,
                                                         const unsigned long long offset)
     {
         this->seed(seed, subsequence, offset);
     }
  
     __forceinline__ __device__ __host__ void seed(unsigned long long       seed_value,
                                                   const unsigned long long subsequence,
                                                   const unsigned long long offset)
     {
         if(seed_value == 0)
         {
             seed_value = ROCRAND_MRG31K3P_DEFAULT_SEED;
         }
         unsigned int x = static_cast<unsigned int>(seed_value ^ 0x55555555U);
         unsigned int y = static_cast<unsigned int>((seed_value >> 32) ^ 0xAAAAAAAAU);
         m_state.x1[0]  = mod_mul_m1(x, seed_value);
         m_state.x1[1]  = mod_mul_m1(y, seed_value);
         m_state.x1[2]  = mod_mul_m1(x, seed_value);
         m_state.x2[0]  = mod_mul_m2(y, seed_value);
         m_state.x2[1]  = mod_mul_m2(x, seed_value);
         m_state.x2[2]  = mod_mul_m2(y, seed_value);
         this->restart(subsequence, offset);
     }
  
     __forceinline__ __device__ __host__ void discard(unsigned long long offset)
     {
         this->discard_impl(offset);
     }
  
     __forceinline__ __device__ __host__ void discard_subsequence(unsigned long long subsequence)
     {
         this->discard_subsequence_impl(subsequence);
     }
  
     __forceinline__ __device__ __host__ void discard_sequence(unsigned long long sequence)
     {
         this->discard_sequence_impl(sequence);
     }
  
     __forceinline__ __device__ __host__ void restart(const unsigned long long subsequence,
                                                      const unsigned long long offset)
     {
 #ifndef ROCRAND_DETAIL_BM_NOT_IN_STATE
         m_state.boxmuller_float_state  = 0;
         m_state.boxmuller_double_state = 0;
 #endif
         this->discard_subsequence_impl(subsequence);
         this->discard_impl(offset);
     }
  
     __forceinline__ __device__ __host__ unsigned int operator()()
     {
         return this->next();
     }
  
     // Returned value is in range [1, ROCRAND_MRG31K3P_M1].
     __forceinline__ __device__ __host__ unsigned int next()
     {
         // First component
         unsigned int tmp
             = (((m_state.x1[1] & ROCRAND_MRG31K3P_MASK12) << 22) + (m_state.x1[1] >> 9))
               + (((m_state.x1[2] & ROCRAND_MRG31K3P_MASK13) << 7) + (m_state.x1[2] >> 24));
         tmp -= (tmp >= ROCRAND_MRG31K3P_M1) ? ROCRAND_MRG31K3P_M1 : 0;
         tmp += m_state.x1[2];
         tmp -= (tmp >= ROCRAND_MRG31K3P_M1) ? ROCRAND_MRG31K3P_M1 : 0;
         m_state.x1[2] = m_state.x1[1];
         m_state.x1[1] = m_state.x1[0];
         m_state.x1[0] = tmp;
  
         // Second component
         tmp = (((m_state.x2[0] & ROCRAND_MRG31K3P_MASK21) << 15) + 21069 * (m_state.x2[0] >> 16));
         tmp -= (tmp >= ROCRAND_MRG31K3P_M2) ? ROCRAND_MRG31K3P_M2 : 0;
         tmp += ((m_state.x2[2] & ROCRAND_MRG31K3P_MASK21) << 15);
         tmp -= (tmp >= ROCRAND_MRG31K3P_M2) ? ROCRAND_MRG31K3P_M2 : 0;
         tmp += 21069 * (m_state.x2[2] >> 16);
         tmp -= (tmp >= ROCRAND_MRG31K3P_M2) ? ROCRAND_MRG31K3P_M2 : 0;
         tmp += m_state.x2[2];
         tmp -= (tmp >= ROCRAND_MRG31K3P_M2) ? ROCRAND_MRG31K3P_M2 : 0;
         m_state.x2[2] = m_state.x2[1];
         m_state.x2[1] = m_state.x2[0];
         m_state.x2[0] = tmp;
  
         // Combination
         return m_state.x1[0] - m_state.x2[0]
                + (m_state.x1[0] <= m_state.x2[0] ? ROCRAND_MRG31K3P_M1 : 0);
     }
  
 protected:
     // Advances the internal state to skip \p offset numbers.
     __forceinline__ __device__ __host__ void discard_impl(unsigned long long offset)
     {
         discard_state(offset);
     }
  
     // Advances the internal state to skip \p subsequence subsequences.
     __forceinline__ __device__ __host__ void
         discard_subsequence_impl(unsigned long long subsequence)
     {
         int i = 0;
  
         while(subsequence > 0)
         {
             if(subsequence & 1)
             {
 #if defined(__HIP_DEVICE_COMPILE__)
                 mod_mat_vec_m1(d_mrg31k3p_A1P72 + i, m_state.x1);
                 mod_mat_vec_m2(d_mrg31k3p_A2P72 + i, m_state.x2);
 #else
                 mod_mat_vec_m1(h_mrg31k3p_A1P72 + i, m_state.x1);
                 mod_mat_vec_m2(h_mrg31k3p_A2P72 + i, m_state.x2);
 #endif
             }
             subsequence >>= 1;
             i += 9;
         }
     }
  
     // Advances the internal state to skip \p sequences.
     __forceinline__ __device__ __host__ void discard_sequence_impl(unsigned long long sequence)
     {
         int i = 0;
  
         while(sequence > 0)
         {
             if(sequence & 1)
             {
 #if defined(__HIP_DEVICE_COMPILE__)
                 mod_mat_vec_m1(d_mrg31k3p_A1P134 + i, m_state.x1);
                 mod_mat_vec_m2(d_mrg31k3p_A2P134 + i, m_state.x2);
 #else
                 mod_mat_vec_m1(h_mrg31k3p_A1P134 + i, m_state.x1);
                 mod_mat_vec_m2(h_mrg31k3p_A2P134 + i, m_state.x2);
 #endif
             }
             sequence >>= 1;
             i += 9;
         }
     }
  
     // Advances the internal state to skip \p offset numbers.
     __forceinline__ __device__ __host__ void discard_state(unsigned long long offset)
     {
         int i = 0;
  
         while(offset > 0)
         {
             if(offset & 1)
             {
 #if defined(__HIP_DEVICE_COMPILE__)
                 mod_mat_vec_m1(d_mrg31k3p_A1 + i, m_state.x1);
                 mod_mat_vec_m2(d_mrg31k3p_A2 + i, m_state.x2);
 #else
                 mod_mat_vec_m1(h_mrg31k3p_A1 + i, m_state.x1);
                 mod_mat_vec_m2(h_mrg31k3p_A2 + i, m_state.x2);
 #endif
             }
             offset >>= 1;
             i += 9;
         }
     }
  
     // Advances the internal state to the next state.
     __forceinline__ __device__ __host__ void discard_state()
     {
         discard_state(1);
     }
  
 private:
     __forceinline__ __device__ __host__ static void mod_mat_vec_m1(const unsigned int* A,
                                                                    unsigned int*       s)
     {
         unsigned long long x[3] = {s[0], s[1], s[2]};
  
         s[0] = mod_m1(mod_m1(A[0] * x[0]) + mod_m1(A[1] * x[1]) + mod_m1(A[2] * x[2]));
  
         s[1] = mod_m1(mod_m1(A[3] * x[0]) + mod_m1(A[4] * x[1]) + mod_m1(A[5] * x[2]));
  
         s[2] = mod_m1(mod_m1(A[6] * x[0]) + mod_m1(A[7] * x[1]) + mod_m1(A[8] * x[2]));
     }
  
     __forceinline__ __device__ __host__ static void mod_mat_vec_m2(const unsigned int* A,
                                                                    unsigned int*       s)
     {
         unsigned long long x[3] = {s[0], s[1], s[2]};
  
         s[0] = mod_m2(mod_m2(A[0] * x[0]) + mod_m2(A[1] * x[1]) + mod_m2(A[2] * x[2]));
  
         s[1] = mod_m2(mod_m2(A[3] * x[0]) + mod_m2(A[4] * x[1]) + mod_m2(A[5] * x[2]));
  
         s[2] = mod_m2(mod_m2(A[6] * x[0]) + mod_m2(A[7] * x[1]) + mod_m2(A[8] * x[2]));
     }
  
     __forceinline__ __device__ __host__ static unsigned long long mod_mul_m1(unsigned int       i,
                                                                              unsigned long long j)
     {
         return mod_m1(i * j);
     }
  
     __forceinline__ __device__ __host__ static unsigned long long mod_m1(unsigned long long p)
     {
         return p % ROCRAND_MRG31K3P_M1;
     }
  
     __forceinline__ __device__ __host__ static unsigned long long mod_mul_m2(unsigned int       i,
                                                                              unsigned long long j)
     {
         return mod_m2(i * j);
     }
  
     __forceinline__ __device__ __host__ static unsigned long long mod_m2(unsigned long long p)
     {
         return p % ROCRAND_MRG31K3P_M2;
     }
  
 protected:
     // State
     mrg31k3p_state m_state;
  
 #ifndef ROCRAND_DETAIL_BM_NOT_IN_STATE
     friend struct detail::engine_boxmuller_helper<mrg31k3p_engine>;
 #endif
 }; // mrg31k3p_engine class
  
 } // end namespace rocrand_device
  
 typedef rocrand_device::mrg31k3p_engine rocrand_state_mrg31k3p;
  
 __forceinline__ __device__ __host__ void rocrand_init(const unsigned long long seed,
                                                       const unsigned long long subsequence,
                                                       const unsigned long long offset,
                                                       rocrand_state_mrg31k3p*  state)
 {
     *state = rocrand_state_mrg31k3p(seed, subsequence, offset);
 }
  
 __forceinline__ __device__ __host__ unsigned int rocrand(rocrand_state_mrg31k3p* state)
 {
     // next() in [1, ROCRAND_MRG31K3P_M1]
     return static_cast<unsigned int>((state->next() - 1) * ROCRAND_MRG31K3P_UINT32_NORM);
 }
  
 __forceinline__ __device__ __host__ void skipahead(unsigned long long      offset,
                                                    rocrand_state_mrg31k3p* state)
 {
     return state->discard(offset);
 }
  
 __forceinline__ __device__ __host__ void skipahead_subsequence(unsigned long long      subsequence,
                                                                rocrand_state_mrg31k3p* state)
 {
     return state->discard_subsequence(subsequence);
 }
  
 __forceinline__ __device__ __host__ void skipahead_sequence(unsigned long long      sequence,
                                                             rocrand_state_mrg31k3p* state)
 {
     return state->discard_sequence(sequence);
 }
  // end of group rocranddevice
  
 #endif // ROCRAND_MRG31K3P_H_