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// Copyright (c) 2022 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.
#include <cstring>
#include <fstream>
#include <iomanip>
#include <iostream>
#include <string>
using namespace std;
#define ROCRAND_MRG31K3P_M1 2147483647U // 2 ^ 31 - 1
#define ROCRAND_MRG31K3P_M2 2147462579U // 2 ^ 31 - 21069
#define ROCRAND_MRG31K3P_A12 4194304U // 2 ^ 22
#define ROCRAND_MRG31K3P_A13 129U // 2 ^ 7 + 1
#define ROCRAND_MRG31K3P_A21 32768U // 2 ^ 15
#define ROCRAND_MRG31K3P_A23 32769U // 2 ^ 15 + 1
// Modulo multiplication with this matrix progresses g1 by one.
unsigned int A1[9] = {0, ROCRAND_MRG31K3P_A12, ROCRAND_MRG31K3P_A13, 1, 0, 0, 0, 1, 0};
// Modulo multiplication with this matrix progresses g2 by one.
unsigned int A2[9] = {ROCRAND_MRG31K3P_A21, 0, ROCRAND_MRG31K3P_A23, 1, 0, 0, 0, 1, 0};
// A1^(2^72)
unsigned int A1p72[9] = {1516919229,
758510237,
499121365,
1884998244,
1516919229,
335398200,
601897748,
1884998244,
358115744};
// A2^(2^72)
unsigned int A2p72[9] = {1228857673,
1496414766,
954677935,
1133297478,
1407477216,
1496414766,
2002613992,
1639496704,
1407477216};
// A1^(2^134)
unsigned int A1p134[9] = {1702500920,
1849582496,
1656874625,
828554832,
1702500920,
1512419905,
1143731069,
828554832,
102237247};
// A2^(2^134)
unsigned int A2p134[9] = {796789021,
1464208080,
607337906,
1241679051,
1431130166,
1464208080,
1401213391,
1178684362,
1431130166};
void mod_mat_sq(unsigned int* A, unsigned int m)
{
unsigned int x[9];
for(size_t i = 0; i < 3; i++)
{
for(size_t j = 0; j < 3; j++)
{
unsigned long long a = 0;
for(size_t k = 0; k < 3; k++)
{
unsigned long long aik = A[i + 3 * k];
unsigned long long akj = A[k + 3 * j];
a += (aik * akj) % m;
}
x[i + 3 * j] = static_cast<unsigned int>(a % m);
}
}
for(size_t i = 0; i < 3; i++)
{
A[i + 3 * 0] = x[i + 3 * 0];
A[i + 3 * 1] = x[i + 3 * 1];
A[i + 3 * 2] = x[i + 3 * 2];
}
}
void init_matrices(unsigned int* matrix, unsigned int* A, int n, unsigned int m)
{
unsigned int x[9];
for(int i = 0; i < 9; i++)
x[i] = A[i];
for(int i = 0; i < n; i++)
{
if(i > 0)
{
mod_mat_sq(x, m);
}
for(int j = 0; j < 9; j++)
matrix[j + (i * 9)] = x[j];
}
}
void write_matrices(
std::ofstream& fout, const std::string name, unsigned int* a, int n, int bits, bool is_device)
{
fout << "static const ";
fout << (is_device ? "__device__ " : "") << "unsigned int " << name << "[MRG31K3P_N] = {"
<< std::endl;
fout << " // clang-format off" << std::endl;
fout << " ";
for(int k = 0; k < n; k++)
{
fout << a[k] << ", ";
if((k + 1) % bits == 0 && k != 1)
fout << std::endl << " ";
}
fout << "// clang-format on" << std::endl;
fout << "};" << std::endl;
fout << std::endl;
}
int main(int argc, char const* argv[])
{
if(argc != 2 || std::string(argv[1]) == "--help")
{
std::cout << "Usage:" << std::endl;
std::cout << " ./mrg31k3p_precomputed_generator "
"../../library/include/rocrand/rocrand_mrg31k3p_precomputed.h"
<< std::endl;
return -1;
}
unsigned int MRG31K3P_DIM = 64;
unsigned int MRG31K3P_N = MRG31K3P_DIM * 9;
unsigned int* A1_ = new unsigned int[MRG31K3P_N];
unsigned int* A2_ = new unsigned int[MRG31K3P_N];
unsigned int* A1p72_ = new unsigned int[MRG31K3P_N];
unsigned int* A2p72_ = new unsigned int[MRG31K3P_N];
unsigned int* A1p134_ = new unsigned int[MRG31K3P_N];
unsigned int* A2p134_ = new unsigned int[MRG31K3P_N];
init_matrices(A1_, A1, MRG31K3P_DIM, ROCRAND_MRG31K3P_M1);
init_matrices(A2_, A2, MRG31K3P_DIM, ROCRAND_MRG31K3P_M2);
init_matrices(A1p72_, A1p72, MRG31K3P_DIM, ROCRAND_MRG31K3P_M1);
init_matrices(A2p72_, A2p72, MRG31K3P_DIM, ROCRAND_MRG31K3P_M2);
init_matrices(A1p134_, A1p134, MRG31K3P_DIM, ROCRAND_MRG31K3P_M1);
init_matrices(A2p134_, A2p134, MRG31K3P_DIM, ROCRAND_MRG31K3P_M2);
const std::string file_path(argv[1]);
std::ofstream fout(file_path, std::ios_base::out | std::ios_base::trunc);
fout << R"(// Copyright (c) 2022 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_PRECOMPUTED_H_
#define ROCRAND_MRG31K3P_PRECOMPUTED_H_
// Auto-generated file. Do not edit!
// Generated by tools/mrg31k3p_precomputed_generator
)";
fout << "#define MRG31K3P_DIM " << MRG31K3P_DIM << std::endl;
fout << "#define MRG31K3P_N " << MRG31K3P_N << std::endl;
fout << std::endl;
write_matrices(fout, "d_mrg31k3p_A1", A1_, MRG31K3P_N, 9, true);
write_matrices(fout, "h_mrg31k3p_A1", A1_, MRG31K3P_N, 9, false);
write_matrices(fout, "d_mrg31k3p_A2", A2_, MRG31K3P_N, 9, true);
write_matrices(fout, "h_mrg31k3p_A2", A2_, MRG31K3P_N, 9, false);
write_matrices(fout, "d_mrg31k3p_A1P72", A1p72_, MRG31K3P_N, 9, true);
write_matrices(fout, "h_mrg31k3p_A1P72", A1p72_, MRG31K3P_N, 9, false);
write_matrices(fout, "d_mrg31k3p_A2P72", A2p72_, MRG31K3P_N, 9, true);
write_matrices(fout, "h_mrg31k3p_A2P72", A2p72_, MRG31K3P_N, 9, false);
write_matrices(fout, "d_mrg31k3p_A1P134", A1p134_, MRG31K3P_N, 9, true);
write_matrices(fout, "h_mrg31k3p_A1P134", A1p134_, MRG31K3P_N, 9, false);
write_matrices(fout, "d_mrg31k3p_A2P134", A2p134_, MRG31K3P_N, 9, true);
write_matrices(fout, "h_mrg31k3p_A2P134", A2p134_, MRG31K3P_N, 9, false);
fout << R"(
#endif // ROCRAND_MRG31K3P_PRECOMPUTED_H_
)";
delete[] A1_;
delete[] A2_;
delete[] A1p72_;
delete[] A2p72_;
delete[] A1p134_;
delete[] A2p134_;
return 0;
}
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