# include # include # include # include using namespace std; # include "bisection_integer.hpp" int main ( ); void test01 ( ); int f01 ( int x ); void timestamp ( ); //****************************************************************************80 int main ( ) //****************************************************************************80 // // Purpose: // // bisection_integer_test() tests bisection_integer(). // // Licensing: // // This code is distributed under the MIT license. // // Modified: // // 23 August 2012 // // Author: // // John Burkardt // { timestamp ( ); cout << "\n"; cout << "BISECTION_INTEGER_TEST():\n"; cout << " C++ version\n"; cout << " Test BISECTION_INTEGER().\n"; test01 ( ); // // Terminate. // cout << "\n"; cout << "BISECTION_INTEGER_TEST():\n"; cout << " Normal end of execution.\n"; cout << "\n"; timestamp ( ); return 0; } //****************************************************************************80 void test01 ( ) //****************************************************************************80 // // Purpose: // // TEST01 tests BISECTION_INTEGER; // // Licensing: // // This code is distributed under the MIT license. // // Modified: // // 23 August 2012 // // Author: // // John Burkardt // { int a; int b; int c; int fc; cout << "\n"; cout << "TEST01\n"; cout << " BISECTION_INTEGER attempts to locate an integer root C\n"; cout << " of an equation F(C) = 0.\n"; cout << " The user supplies a change of sign interval [A,B].\n"; cout << " The function considered here has two real roots\n"; cout << " as well as an integer root, so the algorithm can\n"; cout << " fail depending on how the change of sign interval is chosen.\n"; a = 4; b = 100; cout << "\n"; cout << " The initial change of sign interval is:\n"; cout << " F(" << a << ") = " << f01 ( a ) << "\n"; cout << " F(" << b << ") = " << f01 ( b ) << "\n"; bisection_integer ( f01, a, b, c, fc ); if ( fc == 0 ) { cout << "\n"; cout << " An exact root was found at C = " << c << "\n"; } else { cout << "\n"; cout << " An exact root was NOT found.\n"; cout << " The change of sign interval is now:\n"; cout << " F(" << a << ") = " << f01 ( a ) << "\n"; cout << " F(" << b << ") = " << f01 ( b ) << "\n"; } a = -10; b = 15; cout << "\n"; cout << " The initial change of sign interval is:\n"; cout << " F(" << a << ") = " << f01 ( a ) << "\n"; cout << " F(" << b << ") = " << f01 ( b ) << "\n"; bisection_integer ( f01, a, b, c, fc ); if ( fc == 0 ) { cout << "\n"; cout << " An exact root was found at C = " << c << "\n"; } else { cout << "\n"; cout << " An exact root was NOT found.\n"; cout << " The change of sign interval is now:\n"; cout << " F(" << a << ") = " << f01 ( a ) << "\n"; cout << " F(" << b << ") = " << f01 ( b ) << "\n"; } return; } //****************************************************************************80 int f01 ( int n ) //****************************************************************************80 // // Purpose: // // F01 is a test function. // // Discussion: // // The polynomial has roots 1/2, 7/2, and 10. // // Licensing: // // This code is distributed under the MIT license. // // Modified: // // 23 August 2012 // // Author: // // John Burkardt // // Parameters: // // Input, int N, the argument. // // Output, int F01, the function value. // { int value; value = ( 2 * n - 7 ) * ( 2 * n - 1 ) * ( n - 10 ); return value; } //****************************************************************************80 void timestamp ( ) //****************************************************************************80 // // Purpose: // // TIMESTAMP prints the current YMDHMS date as a time stamp. // // Example: // // 31 May 2001 09:45:54 AM // // Licensing: // // This code is distributed under the MIT license. // // Modified: // // 08 July 2009 // // Author: // // John Burkardt // { # define TIME_SIZE 40 static char time_buffer[TIME_SIZE]; const struct std::tm *tm_ptr; std::time_t now; now = std::time ( NULL ); tm_ptr = std::localtime ( &now ); std::strftime ( time_buffer, TIME_SIZE, "%d %B %Y %I:%M:%S %p", tm_ptr ); std::cout << time_buffer << "\n"; return; # undef TIME_SIZE }