# include # include # include # include using namespace std; # include "sobol.hpp" int main ( ); void test01 ( ); void test02 ( ); void test03 ( ); void test04 ( ); void test05 ( ); void test055 ( ); void test06 ( ); void test07 ( ); void test08 ( ); void test09 ( ); //****************************************************************************80 int main ( ) //****************************************************************************80 // // Purpose: // // MAIN is the main program for SOBOL_PRB. // // Discussion: // // SOBOL_PRB tests the SOBOL library. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 23 January 2007 // // Author: // // John Burkardt // { timestamp ( ); cout << "\n"; cout << "SOBOL_PRB\n"; cout << " C++ version\n"; cout << " Test the SOBOL library.\n"; test01 ( ); test02 ( ); test03 ( ); test04 ( ); test05 ( ); test055 ( ); test06 ( ); test07 ( ); test08 ( ); test09 ( ); // // Terminate. // cout << "\n"; cout << "SOBOL_PRB\n"; cout << " Normal end of execution.\n"; cout << "\n"; timestamp ( ); return 0; } //****************************************************************************80 void test01 ( ) //****************************************************************************80 // // Purpose: // // TEST01 tests OR. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 23 January 2007 // // Author: // // John Burkardt // { int i; int j; int k; int seed; int test; seed = 123456789; cout << "\n"; cout << "TEST01\n"; cout << " The C++ function ^ computes the bitwise exclusive OR\n"; cout << " of two integers.\n"; cout << "\n"; cout << " I J I^J\n"; cout << "\n"; for ( test = 1; test <= 10; test++ ) { i = i4_uniform ( 0, 100, &seed ); j = i4_uniform ( 0, 100, &seed ); k = i ^ j; cout << " " << setw(6) << i << " " << setw(6) << j << " " << setw(6) << k << "\n"; } return; } //****************************************************************************80 void test02 ( ) //****************************************************************************80 // // Purpose: // // TEST02 tests I4_BIT_HI1. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 23 January 2007 // // Author: // // John Burkardt // { int i; int j; int k; int seed; int test; seed = 123456789; cout << "\n"; cout << "TEST02\n"; cout << " I4_BIT_HI1 returns the location of the high bit in an integer.\n"; cout << "\n"; cout << " I I4_BIT_HI1(I)\n"; cout << "\n"; for ( test = 1; test <= 10; test++ ) { i = i4_uniform ( 0, 100, &seed ); j = i4_bit_hi1 ( i ); cout << " " << setw(6) << i << " " << setw(6) << j << "\n"; } return; } //****************************************************************************80 void test03 ( ) //****************************************************************************80 // // Purpose: // // TEST03 tests I4_BIT_LO0. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 23 January 2007 // // Author: // // John Burkardt // { int i; int j; int k; int seed; int test; seed = 123456789; cout << "\n"; cout << "TEST03\n"; cout << " I4_BIT_LO0 returns the location of the low 0 bit in an integer.\n"; cout << "\n"; cout << " I I4_BIT_LO0(I)\n"; cout << "\n"; for ( test = 1; test <= 10; test++ ) { i = i4_uniform ( 0, 100, &seed ); j = i4_bit_lo0 ( i ); cout << " " << setw(6) << i << " " << setw(6) << j << "\n"; } return; } //****************************************************************************80 void test04 ( ) //****************************************************************************80 // // Purpose: // // TEST04 tests I4_SOBOL. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 23 January 2007 // // Author: // // John Burkardt // { # define DIM_MAX 4 int dim_num; int i; int j; float r[DIM_MAX]; int seed; int seed_in; int seed_out; cout << "\n"; cout << "TEST04\n"; cout << " I4_SOBOL computes the next element of a Sobol sequence.\n"; cout << "\n"; cout << " In this test, we call I4_SOBOL repeatedly.\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 I4_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 0; i <= 110; i++ ) { seed_in = seed; i4_sobol ( dim_num, &seed, r ); seed_out = seed; if ( i <= 11 || 95 <= i ) { cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < dim_num; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } else if ( i == 12 ) { cout << "....................\n"; } } } return; # undef DIM_MAX } //****************************************************************************80 void test05 ( ) //****************************************************************************80 // // Purpose: // // TEST05 tests I4_SOBOL. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 23 January 2007 // // Author: // // John Burkardt // { # define DIM_NUM 3 int i; int j; float r[DIM_NUM]; int seed; int seed_in; int seed_out; cout << "\n"; cout << "TEST05\n"; cout << " I4_SOBOL computes the next element of a Sobol sequence.\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 dimension DIM_NUM = " << DIM_NUM << "\n"; seed = 0; cout << "\n"; cout << " Seed Seed I4_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 11; i++ ) { seed_in = seed; i4_sobol ( DIM_NUM, &seed, r ); seed_out = seed; cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < DIM_NUM; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } cout << "\n"; cout << " Jump ahead by increasing SEED:\n"; seed = 100; cout << "\n"; cout << " Seed Seed I4_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 5; i++ ) { seed_in = seed; i4_sobol ( DIM_NUM, &seed, r ); seed_out = seed; cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < DIM_NUM; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } cout << "\n"; cout << " Jump back by decreasing SEED:\n"; seed = 3; cout << "\n"; cout << " Seed Seed I4_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 11; i++ ) { seed_in = seed; i4_sobol ( DIM_NUM, &seed, r ); seed_out = seed; cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < DIM_NUM; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } cout << "\n"; cout << " Jump ahead by increasing SEED:\n"; seed = 98; cout << "\n"; cout << " Seed Seed I4_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 5; i++ ) { seed_in = seed; i4_sobol ( DIM_NUM, &seed, r ); seed_out = seed; cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < DIM_NUM; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } return; # undef DIM_NUM } //****************************************************************************80 void test055 ( ) //****************************************************************************80 // // Purpose: // // TEST055 tests OR on long long ints. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 12 May 2007 // // Author: // // John Burkardt // { long long int i; long long int j; long long int k; int seed; int test; seed = 123456789; cout << "\n"; cout << "TEST055\n"; cout << " The C++ function ^ computes the bitwise exclusive OR\n"; cout << " of two LONG LONG INT's.\n"; cout << "\n"; cout << " I J I^J\n"; cout << "\n"; for ( test = 1; test <= 10; test++ ) { i = ( long long int ) i4_uniform ( 0, 100, &seed ); j = ( long long int ) i4_uniform ( 0, 100, &seed ); k = i ^ j; cout << " " << setw(6) << i << " " << setw(6) << j << " " << setw(6) << k << "\n"; } return; } //****************************************************************************80 void test06 ( ) //****************************************************************************80 // // Purpose: // // TEST06 tests I8_BIT_HI1. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 12 May 2007 // // Author: // // John Burkardt // { long long int i; int j; int seed; int test; seed = 123456789; cout << "\n"; cout << "TEST06\n"; cout << " I8_BIT_HI1 returns the location of the high bit in an integer.\n"; cout << "\n"; cout << " I I8_BIT_HI1(I)\n"; cout << "\n"; for ( test = 1; test <= 10; test++ ) { i = ( long long int ) i4_uniform ( 0, 100, &seed ); j = i8_bit_hi1 ( i ); cout << " " << setw(6) << i << " " << setw(6) << j << "\n"; } return; } //****************************************************************************80 void test07 ( ) //****************************************************************************80 // // Purpose: // // TEST07 tests I8_BIT_LO0. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 12 May 2007 // // Author: // // John Burkardt // { long long int i; int j; int k; int seed; int test; seed = 123456789; cout << "\n"; cout << "TEST07\n"; cout << " I8_BIT_LO0 returns the location of the low zero bit\n"; cout << " in an integer.\n"; cout << "\n"; cout << " I I8_BIT_LO0(I)\n"; cout << "\n"; for ( test = 1; test <= 10; test++ ) { i = ( long long int ) i4_uniform ( 0, 100, &seed ); j = i8_bit_lo0 ( i ); cout << " " << setw(6) << i << " " << setw(6) << j << "\n"; } return; } //****************************************************************************80 void test08 ( ) //****************************************************************************80 // // Purpose: // // TEST08 tests I8_SOBOL. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 12 May 2007 // // Author: // // John Burkardt // { # define DIM_MAX 4 int dim_num; int i; int j; double r[DIM_MAX]; long long int seed; long long int seed_in; long long int seed_out; cout << "\n"; cout << "TEST08\n"; cout << " I8_SOBOL computes the next element of a Sobol sequence.\n"; cout << "\n"; cout << " In this test, we call I8_SOBOL repeatedly.\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 I8_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 0; i <= 110; i++ ) { seed_in = seed; i8_sobol ( dim_num, &seed, r ); seed_out = seed; if ( i <= 11 || 95 <= i ) { cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < dim_num; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } else if ( i == 12 ) { cout << "....................\n"; } } } return; # undef DIM_MAX } //****************************************************************************80 void test09 ( ) //****************************************************************************80 // // Purpose: // // TEST09 tests I8_SOBOL. // // Licensing: // // This code is distributed under the GNU LGPL license. // // Modified: // // 12 May 2007 // // Author: // // John Burkardt // { # define DIM_NUM 3 int i; int j; double r[DIM_NUM]; long long int seed; long long int seed_in; long long int seed_out; cout << "\n"; cout << "TEST09\n"; cout << " I8_SOBOL computes the next element of a Sobol sequence.\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 dimension DIM_NUM = " << DIM_NUM << "\n"; seed = 0; cout << "\n"; cout << " Seed Seed I8_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 11; i++ ) { seed_in = seed; i8_sobol ( DIM_NUM, &seed, r ); seed_out = seed; cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < DIM_NUM; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } cout << "\n"; cout << " Jump ahead by increasing SEED:\n"; seed = 100; cout << "\n"; cout << " Seed Seed I8_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 5; i++ ) { seed_in = seed; i8_sobol ( DIM_NUM, &seed, r ); seed_out = seed; cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < DIM_NUM; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } cout << "\n"; cout << " Jump back by decreasing SEED:\n"; seed = 3; cout << "\n"; cout << " Seed Seed I8_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 11; i++ ) { seed_in = seed; i8_sobol ( DIM_NUM, &seed, r ); seed_out = seed; cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < DIM_NUM; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } cout << "\n"; cout << " Jump ahead by increasing SEED:\n"; seed = 98; cout << "\n"; cout << " Seed Seed I8_SOBOL\n"; cout << " In Out\n"; cout << "\n"; for ( i = 1; i <= 5; i++ ) { seed_in = seed; i8_sobol ( DIM_NUM, &seed, r ); seed_out = seed; cout << setw(6) << seed_in << " " << setw(6) << seed_out << " "; for ( j = 0; j < DIM_NUM; j++ ) { cout << setw(14) << r[j] << " "; } cout << "\n"; } return; # undef DIM_NUM }