# include # include # include # include using namespace std; int main ( int argc, char *argv[] ); int circuit_value ( int n, int bvec[] ); void i4_to_bvec ( int i4, int n, int bvec[] ); void timestamp ( ); //****************************************************************************80 int main ( int argc, char *argv[] ) //****************************************************************************80 // // Purpose: // // MAIN is the main program for SATISFY. // // Licensing: // // This code is distributed under the MIT license. // // Modified: // // 20 March 2009 // // Author: // // John Burkardt // // Reference: // // Michael Quinn, // Parallel Programming in C with MPI and OpenMP, // McGraw-Hill, 2004, // ISBN13: 978-0071232654, // LC: QA76.73.C15.Q55. // { # define N 23 int bvec[N]; int i; int ihi; int j; int n = N; int solution_num; int value; cout << "\n"; timestamp ( ); cout << "\n"; cout << "SATISFY\n"; cout << " C++ version\n" ; cout << " We have a logical function of N logical arguments.\n"; cout << " We do an exhaustive search of all 2^N possibilities,\n"; cout << " seeking those inputs that make the function TRUE.\n"; // // Compute the number of binary vectors to check. // ihi = 1; for ( i = 1; i <= n; i++ ) { ihi = ihi * 2; } cout << "\n"; cout << " The number of logical variables is N = " << n << "\n";; cout << " The number of input vectors to check is " << ihi << "\n"; cout << "\n"; cout << " # Index ---------Input Values------------------------\n"; cout << "\n"; // // Check every possible input vector. // solution_num = 0; for ( i = 0; i < ihi; i++ ) { i4_to_bvec ( i, n, bvec ); value = circuit_value ( n, bvec ); if ( value == 1 ) { solution_num = solution_num + 1; cout << " " << setw(2) << solution_num << " " << setw(10) << i << " "; for ( j = 0; j < n; j++ ) { cout << " " << setw(1) << bvec[j]; } cout << "\n"; } } // // Report. // cout << "\n"; cout << " Number of solutions found was " << solution_num << "\n"; // // Shut down. // cout << "\n"; cout << "SATISFY\n"; cout << " Normal end of execution.\n"; cout << "\n"; timestamp ( ); return 0; # undef N } //****************************************************************************80 int circuit_value ( int n, int bvec[] ) //****************************************************************************80 // // Purpose: // // CIRCUIT_VALUE returns the value of a circuit for a given input set. // // Licensing: // // This code is distributed under the MIT license. // // Modified: // // 20 March 2009 // // Author: // // John Burkardt // // Reference: // // Michael Quinn, // Parallel Programming in C with MPI and OpenMP, // McGraw-Hill, 2004, // ISBN13: 978-0071232654, // LC: QA76.73.C15.Q55. // // Parameters: // // Input, int N, the length of the input vector. // // Input, int BVEC[N], the binary inputs. // // Output, int CIRCUIT_VALUE, the output of the circuit. // { int value; value = ( bvec[0] || bvec[1] ) && ( !bvec[1] || !bvec[3] ) && ( bvec[2] || bvec[3] ) && ( !bvec[3] || !bvec[4] ) && ( bvec[4] || !bvec[5] ) && ( bvec[5] || !bvec[6] ) && ( bvec[5] || bvec[6] ) && ( bvec[6] || !bvec[15] ) && ( bvec[7] || !bvec[8] ) && ( !bvec[7] || !bvec[13] ) && ( bvec[8] || bvec[9] ) && ( bvec[8] || !bvec[9] ) && ( !bvec[9] || !bvec[10] ) && ( bvec[9] || bvec[11] ) && ( bvec[10] || bvec[11] ) && ( bvec[12] || bvec[13] ) && ( bvec[13] || !bvec[14] ) && ( bvec[14] || bvec[15] ) && ( bvec[14] || bvec[16] ) && ( bvec[17] || bvec[1] ) && ( bvec[18] || !bvec[0] ) && ( bvec[19] || bvec[1] ) && ( bvec[19] || !bvec[18] ) && ( !bvec[19] || !bvec[9] ) && ( bvec[0] || bvec[17] ) && ( !bvec[1] || bvec[20] ) && ( !bvec[21] || bvec[20] ) && ( !bvec[22] || bvec[20] ) && ( !bvec[21] || !bvec[20] ) && ( bvec[22] || !bvec[20] ); return value; } //****************************************************************************80 void i4_to_bvec ( int i4, int n, int bvec[] ) //****************************************************************************80 // // Purpose: // // I4_TO_BVEC converts an integer into a binary vector. // // Licensing: // // This code is distributed under the MIT license. // // Modified: // // 20 March 2009 // // Author: // // John Burkardt // // Parameters: // // Input, int I4, the integer. // // Input, int N, the dimension of the vector. // // Output, int BVEC[N], the vector of binary remainders. // { int i; for ( i = n - 1; 0 <= i; i-- ) { bvec[i] = i4 % 2; i4 = i4 / 2; } return; } //****************************************************************************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: // // 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 }