# include # include # include # include # include # include using namespace std; int main ( ); void monte_carlo ( int n, int &seed ); double random_value ( int &seed ); void timestamp ( ); /******************************************************************************/ int main ( void ) /******************************************************************************/ /* Purpose: MAIN is the main program for RANDOM_OPENMP. Discussion: This program simply explores one issue in the generation of random numbers in a parallel program. If the random number generator uses an integer seed to determine the next entry, then it is not easy for a parallel program to reproduce the same exact sequence. But what is worse is that it might not be clear how the separate OpenMP threads should handle the SEED value - as a shared or private variable? It seems clear that each thread should have a private seed that is initialized to a distinct value at the beginning of the computation. Licensing: This code is distributed under the GNU LGPL license. Modified: 03 September 2012 Author: John Burkardt */ { int n; int seed; timestamp ( ); cout << "\n"; cout << "RANDOM_OPENMP\n"; cout << " C++ version\n"; cout << " An OpenMP program using random numbers.\n"; cout << " The random numbers depend on a seed.\n"; cout << " We need to insure that each OpenMP thread\n"; cout << " starts with a different seed.\n"; cout << "\n"; cout << " Number of processors available = " << omp_get_num_procs ( ) << "\n"; cout << " Number of threads = " << omp_get_max_threads ( ) << "\n"; n = 100; seed = 123456789; monte_carlo ( n, seed ); /* Terminate. */ cout << "\n"; cout << "RANDOM_OPENMP\n"; cout << " Normal end of execution.\n"; cout << "\n"; timestamp ( ); return 0; } /******************************************************************************/ void monte_carlo ( int n, int &seed ) /******************************************************************************/ /* Purpose: MONTE_CARLO carries out a Monte Carlo calculation with random values. Licensing: This code is distributed under the GNU LGPL license. Modified: 03 September 2012 Author: John Burkardt Parameter: Input, int N, the number of values to generate. Input, int &SEED, a seed for the random number generator. */ { int i; int my_id; int *my_id_vec; int my_seed; int *my_seed_vec; double *x; x = new double[n]; my_id_vec = new int[n]; my_seed_vec = new int[n]; # pragma omp master { cout << "\n"; cout << " Thread Seed I X(I)\n"; cout << "\n"; } # pragma omp parallel private ( i, my_id, my_seed ) shared ( my_id_vec, my_seed_vec, n, x ) { my_id = omp_get_thread_num ( ); my_seed = seed + my_id; cout << " " << setw(6) << my_id << " " << setw(12) << my_seed << "\n"; # pragma omp for for ( i = 0; i < n; i++ ) { my_id_vec[i] = my_id; x[i] = random_value ( my_seed ); my_seed_vec[i] = my_seed; // cout << " " << setw(6) << my_id // << " " << setw(12) << my_seed // << " " << setw(6) << i // << " " << setw(14) << x[i] << "\n"; } } // // C++ OpenMP IO from multiple processors comes out chaotically. // For this reason only, we'll save the data from the loop and // print it in the sequential section! // for ( i = 0; i < n; i++ ) { cout << " " << setw(6) << my_id_vec[i] << " " << setw(12) << my_seed_vec[i] << " " << setw(6) << i << " " << setw(14) << x[i] << "\n"; } delete [] my_id_vec; delete [] my_seed_vec; delete [] x; return; } /******************************************************************************/ double random_value ( int &seed ) /******************************************************************************/ /* Purpose: RANDOM_VALUE generates a random value R. Discussion: This is not a good random number generator. It is a SIMPLE one. It illustrates a model which works by accepting an integer seed value as input, performing some simple operation on the seed, and then producing a "random" real value using some simple transformation. Licensing: This code is distributed under the GNU LGPL license. Modified: 03 September 2012 Author: John Burkardt Parameters: Input/output, int &SEED, a seed for the random number generator. Output, double RANDOM_VALUE, the random value. */ { double r; seed = ( seed % 65536 ); seed = ( ( 3125 * seed ) % 65536 ); r = ( double ) ( seed ) / 65536.0; return r; } //****************************************************************************80 void timestamp ( ) //****************************************************************************80 // // Purpose: // // TIMESTAMP prints the current YMDHMS date as a time stamp. // // Example: // // 31 May 2001 09:45:54 AM // // Modified: // // 24 September 2003 // // Author: // // John Burkardt // // Parameters: // // None // { # define TIME_SIZE 40 static char time_buffer[TIME_SIZE]; const struct tm *tm; time_t now; now = time ( NULL ); tm = localtime ( &now ); strftime ( time_buffer, TIME_SIZE, "%d %B %Y %I:%M:%S %p", tm ); cout << time_buffer << "\n"; return; # undef TIME_SIZE }