# include # include # include # include # include using namespace std; # include "niederreiter.hpp" int main ( ); void test01 ( int base ); void test02 ( int base ); void test03 ( int base, int dim ); //****************************************************************************80 int main ( ) //****************************************************************************80 // // Purpose: // // MAIN is the main program for NIEDERREITER_TEST. // // Discussion: // // NIEDERREITER_TEST tests the NIEDERREITER library. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 07 June 2010 // // Author: // // John Burkardt // { int base; int dim_num; timestamp ( ); cout << "\n"; cout << "NIEDERREITER_TEST\n"; cout << " C++ version\n"; cout << " Test the NIEDERREITER routines.\n"; base = 2; test01 ( base ); base = 3; test01 ( base ); base = 13; test01 ( base ); base = 2; test02 ( base ); base = 3; test02 ( base ); base = 2; dim_num = 20; test03 ( base, dim_num ); base = 2; dim_num = 29; test03 ( base, dim_num ); // // Terminate. // cout << "\n"; cout << "NIEDERREITER_TEST\n"; cout << " Normal end of execution.\n"; cout << "\n"; timestamp ( ); return 0; } //****************************************************************************80 void test01 ( int base ) //****************************************************************************80 // // Purpose: // // TEST01 tests NIEDERREITER. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 14 September 2007 // // Author: // // John Burkardt // // Parameters: // // Input, int BASE, the base to use in the computation. // BASE should be a prime, or a power of a prime. // { const int dim_max = 4; int dim; int dim_num; int i; double r[dim_max]; int seed; int seed_in; int seed_out; cout << "\n"; cout << "TEST01\n"; cout << " NIEDERREITER computes the next element of \n"; cout << " a Niederreiter quasirandom sequence using base BASE.\n"; cout << "\n"; cout << " In this test, we call NIEDERREITER repeatedly.\n"; cout << "\n"; cout << " Using base BASE = " << base << "\n"; for ( dim_num = 2; dim_num <= dim_max; dim_num++ ) { seed = 0; cout << "\n"; cout << " Using dimension DIM_NUM = " << dim_num << "\n"; cout << "\n"; cout << " Seed Seed Niederreiter\n"; cout << " In Out\n"; cout << "\n"; for ( i = 0; i <= 110; i++ ) { seed_in = seed; niederreiter ( dim_num, base, &seed, r ); seed_out = seed; if ( i <= 11 || 95 <= i ) { cout << " " << setw(8) << seed_in << " " << setw(8) << seed_out; for ( dim = 0; dim < dim_num; dim++ ) { cout << setw(10) << r[dim]; } cout << "\n"; } else if ( i == 12 ) { cout << "......................\n"; } } } return; } //****************************************************************************80 void test02 ( int base ) //****************************************************************************80 // // Purpose: // // TEST02 tests NIEDERREITER. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 14 September 2007 // // Author: // // John Burkardt // // Parameters: // // Input, int BASE, the base to use in the computation. // BASE should be a prime, or a power of a prime. // { const int dim_num = 3; int dim; int i; double r[dim_num]; int seed; int seed_in; int seed_out; cout << "\n"; cout << "TEST02\n"; cout << " NIEDERREITER computes the next element of\n"; cout << " a Niederreiter quasirandom sequence using base BASE.\n"; cout << "\n"; cout << " In this test, we demonstrate how the SEED can be\n"; cout << " manipulated to skip ahead in the sequence, or\n"; cout << " to come back to any part of the sequence.\n"; cout << "\n"; cout << " Using base BASE = " << base << "\n"; cout << " Using dimension DIM_NUM = " << dim_num << "\n"; seed = 0; cout << "\n"; cout << " Seed Seed Niederreiter\n"; cout << " In Out\n"; cout << "\n"; for ( i = 0; i <= 10; i++ ) { seed_in = seed; niederreiter ( dim_num, base, &seed, r ); seed_out = seed; cout << " " << setw(8) << seed_in << " " << setw(8) << seed_out; for ( dim = 0; dim < dim_num; dim++ ) { cout << setw(10) << r[dim]; } cout << "\n"; } cout << "\n"; cout << " Jump ahead by increasing SEED:\n"; cout << "\n"; seed = 100; cout << "\n"; cout << " Seed Seed Niederreiter\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 5; i++ ) { seed_in = seed; niederreiter ( dim_num, base, &seed, r ); seed_out = seed; cout << " " << setw(8) << seed_in << " " << setw(8) << seed_out; for ( dim = 0; dim < dim_num; dim++ ) { cout << setw(10) << r[dim]; } cout << "\n"; } cout << "\n"; cout << " Jump back by decreasing SEED:\n"; cout << "\n"; seed = 3; cout << "\n"; cout << " Seed Seed Niederreiter\n"; cout << " In Out\n"; cout << "\n"; for ( i = 0; i <= 10; i++ ) { seed_in = seed; niederreiter ( dim_num, base, &seed, r ); seed_out = seed; cout << " " << setw(8) << seed_in << " " << setw(8) << seed_out; for ( dim = 0; dim < dim_num; dim++ ) { cout << setw(10) << r[dim]; } cout << "\n"; } cout << "\n"; cout << " Jump ahead by increasing SEED:\n"; cout << "\n"; seed = 98; cout << "\n"; cout << " Seed Seed Niederreiter\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 5; i++ ) { seed_in = seed; niederreiter ( dim_num, base, &seed, r ); seed_out = seed; cout << " " << setw(8) << seed_in << " " << setw(8) << seed_out; for ( dim = 0; dim < dim_num; dim++ ) { cout << setw(10) << r[dim]; } cout << "\n"; } return; } //****************************************************************************80 void test03 ( int base, int dim_num ) //****************************************************************************80 // // Purpose: // // TEST03 tests NIEDERREITER. // // Discussion: // // Simply verify that a few terms of a sequence of given dimension // can be computed. Most recently, the NIEDERREITER code was set // up to handle up to dimension 50...we think. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 07 June 2010 // // Author: // // John Burkardt // // Parameters: // // Input, int BASE, the base to use in the computation. // BASE should be a prime, or a power of a prime. // // Input, int DIM, the spatial dimension. // { int dim; int i; double *r; int seed; int seed_in; int seed_out; cout << "\n"; cout << "TEST03\n"; cout << " NIEDERREITER computes the next element of\n"; cout << " a Niederreiter quasirandom sequence using base BASE.\n"; cout << "\n"; cout << " In this test, we simply generate ten elements in a given base\n"; cout << " and dimension.\n"; cout << " manipulated to skip ahead in the sequence, or\n"; cout << " to come back to any part of the sequence.\n"; cout << "\n"; cout << " Using base BASE = " << base << "\n"; cout << " Using dimension DIM_NUM = " << dim_num << "\n"; seed = 0; r = new double[dim_num]; cout << "\n"; cout << " Seed Seed Niederreiter\n"; cout << " In Out\n"; cout << "\n"; for ( i = 0; i <= 10; i++ ) { seed_in = seed; niederreiter ( dim_num, base, &seed, r ); seed_out = seed; cout << " " << setw(8) << seed_in << " " << setw(8) << seed_out; for ( dim = 0; dim < dim_num; dim++ ) { cout << setw(10) << r[dim]; if ( ( ( dim + 1 ) % 5 == 0 ) && ( dim != dim_num ) ) { cout << "\n"; cout << " "; } } cout << "\n"; } delete [] r; return; }