# include # include # include # include # include # include using namespace std; # include "cvt.hpp" int main ( ); //****************************************************************************80 int main ( ) //****************************************************************************80 // // Purpose: // // MAIN is the main program for CVT_DATASET. // // Discussion: // // CVT_DATASET computes a centroidal Voronoi Tessellation dataset. // // This program is meant to be used interactively. It's also // possible to prepare a simple input file beforehand and use it // in batch mode. // // The program requests input values from the user: // // * DIM_NUM, the spatial dimension, // * N, the number of points to generate, // * SEED, a seed to use for random number generation; // * INIT, initialize the points: // ** file, by reading data from file; // ** GRID, picking points from a grid; // ** HALTON, from a Halton sequence; // ** RANDOM, using C++ RANDOM function; // ** UNIFORM, using a simple uniform RNG; // ** USER, call the "user" routine; // * IT_MAX, the maximum number of iterations; // * IT_FIXED, the number of iterative steps to take // using a fixed set of sampling points. // * SAMPLE, how to conduct the sampling: // ** GRID, picking points from a grid; // ** HALTON, from a Halton sequence; // ** RANDOM, using C++ RANDOM function; // ** UNIFORM, using a simple uniform RNG; // ** USER, call the "user" routine; // * SAMPLE_NUM, the number of sampling points; // * BATCH, the number of sampling points to create at one time; // * OUTPUT, a file in which to store the data; // // To indicate that no further computations are desired, it is // enough to input a nonsensical value, such as -1. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 17 June 2013 // // Author: // // John Burkardt // // Reference: // // Qiang Du, Vance Faber, Max Gunzburger, // Centroidal Voronoi Tessellations: Applications and Algorithms, // SIAM Review, // Volume 41, 1999, pages 637-676. // { # define DEBUG 1 int batch; double energy; char file_out_name[80]; int init; char init_string[80]; double it_diff; int it_fixed; int it_num; int it_max; int n; int dim_num; double *r; int sample; char sample_string[80]; int sample_num; int seed; // // Print introduction and options. // timestamp ( ); cout << "\n"; cout << "CVT_DATASET\n"; cout << " C++ version\n"; cout << "\n"; cout << " Compiled on " << __DATE__ << " at " << __TIME__ << ".\n"; cout << "\n"; cout << " Generate a CVT dataset.\n"; cout << "\n"; cout << " This program is meant to be used interactively.\n"; cout << " It is also possible to prepare a simple input\n"; cout << " file beforehand and use it in batch mode.\n"; cout << "\n"; cout << " The program requests input values from the user:\n"; cout << "\n"; cout << " * DIM_NUM, the spatial dimension,\n"; cout << " * N, the number of points to generate,\n"; cout << " * SEED, a seed to use for random number generation,\n"; cout << " * INIT, initialize the points:\n"; cout << " ** file, read data from a file;\n"; cout << " ** GRID, by picking points from a grid;\n"; cout << " ** HALTON, from a Halton sequence;\n"; cout << " ** RANDOM, using FORTRAN RANDOM function;\n"; cout << " ** UNIFORM, using a simple uniform RNG;\n"; cout << " ** USER, call the \"USER\" routine;\n"; cout << " * IT_MAX, the maximum number of iterations.\n"; cout << " * IT_FIXED, the number of iterative steps to take\n"; cout << " using a fixed set of sampling points.\n"; cout << " * SAMPLE, how to conduct the sampling.\n"; cout << " ** GRID, by picking points from a grid;\n"; cout << " ** HALTON, from a Halton sequence;\n"; cout << " ** RANDOM, using FORTRAN RANDOM function;\n"; cout << " ** UNIFORM, using a simple uniform RNG;\n"; cout << " ** USER, call the \"USER\" routine;\n"; cout << " * SAMPLE_NUM, the number of sample points.\n"; cout << " * BATCH, the number of sample points to generate at one time.\n"; cout << " * OUTPUT, a file to store the data.\n"; cout << "\n"; cout << " To indicate that no further computations are\n"; cout << " desired, it is enough to input a nonsensical value,\n"; cout << " such as -1.\n"; for ( ; ; ) { cout << " *\n"; cout << " *\n"; cout << "* Ready to generate a new dataset:\n"; cout << " *\n"; cout << " *\n"; cout << " Enter DIM_NUM, the spatial dimension:\n"; cout << " (Try '2' if you have no preference.)\n"; cout << " (0 or any negative value terminates execution).\n"; cin >> dim_num; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read DIM_NUM.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input DIM_NUM = " << dim_num << "\n"; if ( dim_num < 1 ) { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of DIM_NUM = " << dim_num << "\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } cout << "\n"; cout << " Enter N, the number of points to generate:\n"; cout << " (Try '25' if you have no preference.)\n"; cout << " (0 or any negative value terminates execution).\n"; cin >> n; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read N.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input N = " << n << "\n"; if ( n < 1 ) { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of N = " << n << "\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } cout << "\n"; cout << " Enter SEED, a seed for the random number generator:\n"; cout << " (Try '123456789' if you have no preference.)\n"; cout << " (Any negative value terminates execution).\n"; cin >> seed; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read SEED.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input SEED = " << seed << "\n"; if ( seed < 0 ) { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of SEED = " << seed << "\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } cout << "\n"; cout << " INIT is the method of initializing the data:\n"; cout << "\n"; cout << " file read data from a file;\n"; cout << " GRID by picking points from a grid;\n"; cout << " HALTON from a Halton sequence;\n"; cout << " RANDOM using C++ RANDOM function;\n"; cout << " UNIFORM using a simple uniform RNG;\n"; cout << " USER call the \"USER\" routine;\n"; cout << "\n"; cout << " (Try 'RANDOM' if you have no preference.)\n"; cout << " (A blank value terminates execution).\n"; cout << "\n"; cout << " Enter INIT:\n"; cin >> init_string; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read INIT.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input INIT = \"" << init_string << "\".\n"; if ( s_eqi ( init_string, "RANDOM" ) ) { init = -1; } else if ( s_eqi ( init_string, "UNIFORM" ) ) { init = 0; } else if ( s_eqi ( init_string, "HALTON" ) ) { init = 1; } else if ( s_eqi ( init_string, "GRID" ) ) { init = 2; } else if ( s_eqi ( init_string, "USER" ) ) { init = 3; } else if ( 0 < s_len_trim ( init_string ) ) { } else { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of INIT\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } cout << "\n"; cout << " IT_MAX is the maximum number of iterations.\n"; cout << "\n"; cout << " An iteration carries out the following steps:\n"; cout << " * the Voronoi region associated with each\n"; cout << " generator is estimated by sampling;\n"; cout << " * the centroid of each Voronoi region is estimated.\n"; cout << " * the generator is replaced by the centroid.\n"; cout << "\n"; cout << " If \"enough\" sampling points are used,\n"; cout << " and \"enough\" iterations are taken, this process\n"; cout << " will converge.\n"; cout << "\n"; cout << " (Try '50' if you have no preference.)\n"; cout << " (A negative value terminates execution).\n"; cout << "\n"; cout << " Enter IT_MAX:\n"; cin >> it_max; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read IT_MAX.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input IT_MAX = " << it_max << "\n"; if ( it_max < 0 ) { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of IT_MAX = " << it_max << "\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } cout << "\n"; cout << " IT_FIXED is the number of consecutive iterations\n"; cout << " to take with a fixed set of sample points.\n"; cout << "\n"; cout << " Setting IT_FIXED to 1 means a new set of sample\n"; cout << " points is generated on every iterative step;\n"; cout << " Setting IT_FIXED equal to IT_MAX means a single set\n"; cout << " of sample points is used for the entire iteration.\n"; cout << "\n"; cout << " Any value between 1 and IT_MAX is reasonable.\n"; cout << "\n"; cout << " (Try " << it_max << " if you have no preference.)\n"; cout << " (A 0 or negative value terminates execution).\n"; cout << "\n"; cout << " Enter IT_FIXED:\n"; cin >> it_fixed; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read IT_FIXED.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input IT_FIXED = " << it_fixed << "\n"; if ( it_max <= 0 ) { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of IT_FIXED = " << it_fixed << "\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } cout << "\n"; cout << " SAMPLE is the method of sampling the region:\n"; cout << "\n"; cout << " GRID by picking points from a grid;\n"; cout << " HALTON from a Halton sequence;\n"; cout << " RANDOM using C++ RANDOM function;\n"; cout << " UNIFORM using a simple uniform RNG;\n"; cout << " USER call the \"USER\" routine;\n"; cout << "\n"; cout << " (Try 'RANDOM' if you have no preference.)\n"; cout << " (A blank value terminates execution).\n"; cout << "\n"; cout << " Enter SAMPLE:\n"; cin >> sample_string; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read SAMPLE.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input SAMPLE = \"" << sample_string << "\".\n"; if ( s_eqi ( sample_string, "RANDOM" ) ) { sample = -1; } else if ( s_eqi ( sample_string, "UNIFORM" ) ) { sample = 0; } else if ( s_eqi ( sample_string, "HALTON" ) ) { sample = 1; } else if ( s_eqi ( sample_string, "GRID" ) ) { sample = 2; } else if ( s_eqi ( sample_string, "USER" ) ) { sample = 3; } else { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of SAMPLE\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } cout << "\n"; cout << " SAMPLE_NUM is the number of sample points.\n"; cout << "\n"; cout << " The Voronoi regions will be explored by generating\n"; cout << " SAMPLE_NUM points. For each sample point, the\n"; cout << " nearest generator is found. Using more points\n"; cout << " gives a better estimate of these regions.\n"; cout << "\n"; cout << " SAMPLE_NUM should be much larger than N, the\n"; cout << " number of generators.\n"; cout << "\n"; cout << " (Try '10000' if you have no preference.)\n"; cout << " (A zero or negative value terminates execution.)\n"; cout << "\n"; cout << " Enter SAMPLE_NUM:\n"; cin >> sample_num; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read SAMPLE_NUM.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input SAMPLE_NUM = " << sample_num << "\n"; if ( sample_num <= 0 ) { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of SAMPLE_NUM = " << sample_num << "\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } cout << "\n"; cout << " BATCH is the number of sample points to create at one time.\n"; cout << "\n"; cout << " BATCH should be between 1 and SAMPLE_NUM.\n"; cout << "\n"; cout << " It is FASTER to set BATCH to SAMPLE_NUM;\n"; cout << " setting BATCH to 1 requires the least memory.\n"; cout << "\n"; cout << " (Try " << i4_min ( sample_num, 1000 ) << " if you have no preference.)\n"; cout << " (A zero or negative value terminates execution.)\n"; cout << "\n"; cout << " Enter BATCH:\n"; cin >> batch; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read BATCH.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input BATCH = " << batch << "\n"; if ( batch <= 0 ) { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of BATCH = " << batch << "\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } cout << "\n"; cout << " OUTPUT is a file in which to store the data.\n"; cout << "\n"; cout << " (Try 'cvt.txt' if you have no preference.)\n"; cout << " (A blank value terminates execution).\n"; cout << "\n"; cout << " Enter OUTPUT:\n"; cin >> file_out_name; if ( cin.rdstate ( ) ) { cin.clear ( ); cout << "\n"; cout << "CVT_DATASET - Fatal error!\n"; cout << " An I/O error occurred while trying to read OUTPUT.\n"; cout << " Abnormal end of execution.\n"; break; } cout << " User input OUTPUT = \"" << file_out_name << "\".\n"; if ( s_len_trim ( file_out_name ) <= 0 ) { cout << "\n"; cout << "CVT_DATASET\n"; cout << " The input value of OUTPUT\n"; cout << " is interpreted as a request for termination.\n"; cout << " Normal end of execution.\n"; break; } // // Initialize the data. // r = new double[dim_num*n]; if ( init == 4 ) { data_read ( sample_string, dim_num, n, r ); } cvt ( dim_num, n, batch, init, sample, sample_num, it_max, it_fixed, &seed, r, &it_num, &it_diff, &energy ); r8mat_write ( file_out_name, dim_num, n, r ); // comment = false; // cvt_write ( dim_num, n, batch, seed_init, seed, init_string, it_max, // it_fixed, it_num, it_diff, energy, sample_string, sample_num, r, // file_out_name, comment ); delete [] r; cout << "\n"; cout << " The data was written to the file \"" << file_out_name << "\"\n"; } cout << "\n"; timestamp ( ); return 0; # undef DEBUG }