# include # include # include int main ( ); int search ( int a, int b, int c ); int f ( int i ); void timestamp ( ); double cpu_time ( ); /******************************************************************************/ int main ( ) /******************************************************************************/ /* Purpose: MAIN is the main program for search. Licensing: This code is distributed under the MIT license. Modified: 22 October 2012 Author: John Burkardt */ { int a; int b; int c; int i4_huge = 2147483647; int j; double wtime; a = 1; b = i4_huge; c = 45; timestamp ( ); printf ( "\n" ); printf ( "search:\n" ); printf ( " C version\n" ); printf ( " Search the integers from A to B\n" ); printf ( " for a value J such that F(J) = C.\n" ); printf ( "\n" ); printf ( " A = %d\n", a ); printf ( " B = %d\n", b ); printf ( " C = %d\n", c ); wtime = cpu_time ( ); j = search ( a, b, c ); wtime = cpu_time ( ) - wtime; if ( j == -1 ) { printf ( "\n" ); printf ( " No solution was found.\n" ); } else { printf ( "\n" ); printf ( " Found J = %d\n", j ); printf ( " Verify F(J) = %d\n", f ( j ) ); } printf ( " Elapsed CPU time is %g\n", wtime ); /* Terminate. */ printf ( "\n" ); printf ( "search:\n" ); printf ( " Normal end of execution.\n" ); printf ( "\n" ); timestamp ( ); return 0; } /******************************************************************************/ int search ( int a, int b, int c ) /******************************************************************************/ /* Purpose: SEARCH searches integers in [A,B] for a J so that F(J) = C. Licensing: This code is distributed under the MIT license. Modified: 22 October 2012 Author: John Burkardt Parameters: Input, int A, B, the search range. Input, int C, the desired function value. Output, int SEARCH, the computed solution, or -1 if no solution was found. */ { int fi; int i; int j; j = -1; for ( i = a; i <= b; i++ ) { fi = f ( i ); if ( fi == c ) { j = i; break; } } return j; } /******************************************************************************/ int f ( int i ) /******************************************************************************/ /* Purpose: F is the function we are analyzing. Licensing: This code is distributed under the MIT license. Modified: 22 October 2012 Author: John Burkardt Parameters: Input, int I, the argument. Input, int F, the value. */ { int i4_huge = 2147483647; int j; int k; int value; value = i; for ( j = 1; j <= 5; j++ ) { k = value / 127773; value = 16807 * ( value - k * 127773 ) - k * 2836; if ( value <= 0 ) { value = value + i4_huge; } } return value; } /******************************************************************************/ void timestamp ( void ) /******************************************************************************/ /* 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 ); printf ( "%s\n", time_buffer ); return; # undef TIME_SIZE } /******************************************************************************/ double cpu_time ( void ) /******************************************************************************/ /* Purpose: CPU_TIME returns the current reading on the CPU clock. Discussion: The CPU time measurements available through this routine are often not very accurate. In some cases, the accuracy is no better than a hundredth of a second. Licensing: This code is distributed under the MIT license. Modified: 06 June 2005 Author: John Burkardt Parameters: Output, double CPU_TIME, the current reading of the CPU clock, in seconds. */ { double value; value = ( double ) clock ( ) / ( double ) CLOCKS_PER_SEC; return value; }