| 1 | # include <stdlib.h>
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| 2 | # include <stdio.h>
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| 3 | # include <time.h>
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| 4 | # include <omp.h>
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| 5 |
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| 6 | int main ( int argc, char *argv[] );
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| 7 | int circuit_value ( int n, int bvec[] );
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| 8 | void i4_to_bvec ( int i4, int n, int bvec[] );
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| 9 | void timestamp ( void );
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| 10 |
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| 11 | /******************************************************************************/
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| 12 |
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| 13 | int main ( int argc, char *argv[] )
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| 14 |
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| 15 | /******************************************************************************/
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| 16 | /*
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| 17 | Purpose:
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| 18 |
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| 19 | MAIN is the main program for SATISFY_OPENMP.
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| 20 |
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| 21 | Licensing:
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| 22 |
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| 23 | This code is distributed under the GNU LGPL license.
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| 24 |
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| 25 | Modified:
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| 26 |
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| 27 | 24 March 2009
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| 28 |
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| 29 | Author:
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| 30 |
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| 31 | John Burkardt
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| 32 |
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| 33 | Reference:
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| 34 |
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| 35 | Michael Quinn,
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| 36 | Parallel Programming in C with MPI and OpenMP,
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| 37 | McGraw-Hill, 2004,
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| 38 | ISBN13: 978-0071232654,
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| 39 | LC: QA76.73.C15.Q55.
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| 40 | */
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| 41 | {
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| 42 | # define N 23
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| 43 |
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| 44 | int bvec[N];
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| 45 | int i;
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| 46 | int id;
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| 47 | int ihi;
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| 48 | int ihi2;
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| 49 | int ilo;
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| 50 | int ilo2;
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| 51 | int j;
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| 52 | int n = N;
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| 53 | int proc_num;
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| 54 | int solution_num;
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| 55 | int solution_num_local;
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| 56 | int thread_num;
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| 57 | int value;
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| 58 | double wtime;
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| 59 |
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| 60 | printf ( "\n" );
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| 61 | timestamp ( );
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| 62 | printf ( "\n" );
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| 63 | printf ( "SATISFY_OPENMP\n" );
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| 64 | printf ( " C + OpenMP version\n" );
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| 65 | printf ( " We have a logical function of N logical arguments.\n" );
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| 66 | printf ( " We do an exhaustive search of all 2^N possibilities,\n" );
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| 67 | printf ( " seeking those inputs that make the function TRUE.\n" );
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| 68 |
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| 69 | printf ( "\n" );
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| 70 | printf ( " Number of processors available = %d\n", omp_get_num_procs ( ) );
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| 71 | printf ( " Number of threads = %d\n", omp_get_max_threads ( ) );
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| 72 | /*
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| 73 | Compute the number of binary vectors to check.
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| 74 | */
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| 75 | ilo = 0;
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| 76 | ihi = 1;
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| 77 | for ( i = 1; i <= n; i++ )
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| 78 | {
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| 79 | ihi = ihi * 2;
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| 80 | }
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| 81 | printf ( "\n" );
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| 82 | printf ( " The number of logical variables is N = %d\n", n );
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| 83 | printf ( " The number of input vectors to check is %d\n", ihi );
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| 84 | printf ( "\n" );
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| 85 | printf ( " # Processor Index ---------Input Values------------------------\n" );
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| 86 | printf ( "\n" );
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| 87 | /*
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| 88 | Processor ID takes the interval ILO2 <= I < IHI2.
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| 89 | Using the formulas below yields a set of nonintersecting intervals
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| 90 | which cover the original interval [ILO,IHI).
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| 91 | */
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| 92 | thread_num = omp_get_max_threads ( );
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| 93 |
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| 94 | solution_num = 0;
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| 95 |
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| 96 | wtime = omp_get_wtime ( );
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| 97 |
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| 98 | # pragma omp parallel \
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| 99 | shared ( ihi, ilo, n, thread_num ) \
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| 100 | private ( bvec, i, id, ihi2, ilo2, j, solution_num_local, value ) \
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| 101 | reduction ( + : solution_num )
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| 102 | {
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| 103 | id = omp_get_thread_num ( );
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| 104 |
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| 105 | ilo2 = ( ( thread_num - id ) * ilo
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| 106 | + ( id ) * ihi )
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| 107 | / ( thread_num );
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| 108 |
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| 109 | ihi2 = ( ( thread_num - id - 1 ) * ilo
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| 110 | + ( id + 1 ) * ihi )
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| 111 | / ( thread_num );
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| 112 |
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| 113 | printf ( "\n" );
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| 114 | printf ( " Processor %8d iterates from %8d <= I < %8d.\n", id, ilo2, ihi2 );
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| 115 | printf ( "\n" );
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| 116 | /*
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| 117 | Check every possible input vector.
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| 118 | */
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| 119 | solution_num_local = 0;
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| 120 |
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| 121 | for ( i = ilo2; i < ihi2; i++ )
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| 122 | {
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| 123 | i4_to_bvec ( i, n, bvec );
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| 124 |
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| 125 | value = circuit_value ( n, bvec );
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| 126 |
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| 127 | if ( value == 1 )
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| 128 | {
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| 129 | solution_num_local = solution_num_local + 1;
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| 130 |
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| 131 | printf ( " %2d %8d %10d: ", solution_num_local, id, i );
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| 132 | for ( j = 0; j < n; j++ )
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| 133 | {
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| 134 | printf ( " %d", bvec[j] );
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| 135 | }
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| 136 | printf ( "\n" );
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| 137 | }
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| 138 | }
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| 139 | solution_num = solution_num + solution_num_local;
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| 140 | }
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| 141 | wtime = omp_get_wtime ( ) - wtime;
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| 142 | printf ( "\n" );
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| 143 | printf ( " Number of solutions found was %d\n", solution_num );
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| 144 | printf ( " Elapsed wall clock time (seconds) %f\n", wtime );
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| 145 | /*
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| 146 | Terminate.
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| 147 | */
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| 148 | printf ( "\n" );
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| 149 | printf ( "SATISFY_OPENMP\n" );
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| 150 | printf ( " Normal end of execution.\n" );
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| 151 | printf ( "\n" );
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| 152 | timestamp ( );
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| 153 |
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| 154 | return 0;
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| 155 | # undef N
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| 156 | }
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| 157 | /******************************************************************************/
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| 158 |
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| 159 | int circuit_value ( int n, int bvec[] )
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| 160 |
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| 161 | /******************************************************************************/
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| 162 | /*
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| 163 | Purpose:
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| 164 |
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| 165 | CIRCUIT_VALUE returns the value of a circuit for a given input set.
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| 166 |
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| 167 | Licensing:
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| 168 |
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| 169 | This code is distributed under the GNU LGPL license.
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| 170 |
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| 171 | Modified:
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| 172 |
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| 173 | 20 March 2009
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| 174 |
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| 175 | Author:
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| 176 |
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| 177 | John Burkardt
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| 178 |
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| 179 | Reference:
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| 180 |
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| 181 | Michael Quinn,
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| 182 | Parallel Programming in C with MPI and OpenMP,
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| 183 | McGraw-Hill, 2004,
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| 184 | ISBN13: 978-0071232654,
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| 185 | LC: QA76.73.C15.Q55.
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| 186 |
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| 187 | Parameters:
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| 188 |
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| 189 | Input, int N, the length of the input vector.
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| 190 |
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| 191 | Input, int BVEC[N], the binary inputs.
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| 192 |
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| 193 | Output, int CIRCUIT_VALUE, the output of the circuit.
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| 194 | */
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| 195 | {
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| 196 | int value;
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| 197 |
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| 198 | value =
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| 199 | ( bvec[0] || bvec[1] )
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| 200 | && ( !bvec[1] || !bvec[3] )
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| 201 | && ( bvec[2] || bvec[3] )
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| 202 | && ( !bvec[3] || !bvec[4] )
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| 203 | && ( bvec[4] || !bvec[5] )
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| 204 | && ( bvec[5] || !bvec[6] )
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| 205 | && ( bvec[5] || bvec[6] )
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| 206 | && ( bvec[6] || !bvec[15] )
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| 207 | && ( bvec[7] || !bvec[8] )
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| 208 | && ( !bvec[7] || !bvec[13] )
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| 209 | && ( bvec[8] || bvec[9] )
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| 210 | && ( bvec[8] || !bvec[9] )
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| 211 | && ( !bvec[9] || !bvec[10] )
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| 212 | && ( bvec[9] || bvec[11] )
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| 213 | && ( bvec[10] || bvec[11] )
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| 214 | && ( bvec[12] || bvec[13] )
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| 215 | && ( bvec[13] || !bvec[14] )
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| 216 | && ( bvec[14] || bvec[15] )
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| 217 | && ( bvec[14] || bvec[16] )
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| 218 | && ( bvec[17] || bvec[1] )
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| 219 | && ( bvec[18] || !bvec[0] )
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| 220 | && ( bvec[19] || bvec[1] )
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| 221 | && ( bvec[19] || !bvec[18] )
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| 222 | && ( !bvec[19] || !bvec[9] )
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| 223 | && ( bvec[0] || bvec[17] )
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| 224 | && ( !bvec[1] || bvec[20] )
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| 225 | && ( !bvec[21] || bvec[20] )
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| 226 | && ( !bvec[22] || bvec[20] )
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| 227 | && ( !bvec[21] || !bvec[20] )
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| 228 | && ( bvec[22] || !bvec[20] );
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| 229 |
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| 230 | return value;
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| 231 | }
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| 232 | /******************************************************************************/
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| 233 |
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| 234 | void i4_to_bvec ( int i4, int n, int bvec[] )
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| 235 |
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| 236 | /******************************************************************************/
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| 237 | /*
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| 238 | Purpose:
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| 239 |
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| 240 | I4_TO_BVEC converts an integer into a binary vector.
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| 241 |
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| 242 | Licensing:
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| 243 |
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| 244 | This code is distributed under the GNU LGPL license.
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| 245 |
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| 246 | Modified:
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| 247 |
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| 248 | 20 March 2009
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| 249 |
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| 250 | Author:
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| 251 |
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| 252 | John Burkardt
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| 253 |
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| 254 | Parameters:
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| 255 |
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| 256 | Input, int I4, the integer.
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| 257 |
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| 258 | Input, int N, the dimension of the vector.
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| 259 |
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| 260 | Output, int BVEC[N], the vector of binary remainders.
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| 261 | */
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| 262 | {
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| 263 | int i;
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| 264 |
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| 265 | for ( i = n - 1; 0 <= i; i-- )
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| 266 | {
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| 267 | bvec[i] = i4 % 2;
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| 268 | i4 = i4 / 2;
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| 269 | }
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| 270 |
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| 271 | return;
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| 272 | }
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| 273 | /******************************************************************************/
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| 274 |
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| 275 | void timestamp ( void )
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| 276 |
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| 277 | /******************************************************************************/
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| 278 | /*
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| 279 | Purpose:
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| 280 |
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| 281 | TIMESTAMP prints the current YMDHMS date as a time stamp.
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| 282 |
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| 283 | Example:
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| 284 |
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| 285 | 31 May 2001 09:45:54 AM
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| 286 |
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| 287 | Licensing:
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| 288 |
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| 289 | This code is distributed under the GNU LGPL license.
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| 290 |
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| 291 | Modified:
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| 292 |
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| 293 | 24 September 2003
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| 294 |
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| 295 | Author:
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| 296 |
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| 297 | John Burkardt
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| 298 |
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| 299 | Parameters:
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| 300 |
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| 301 | None
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| 302 | */
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| 303 | {
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| 304 | # define TIME_SIZE 40
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| 305 |
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| 306 | static char time_buffer[TIME_SIZE];
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| 307 | const struct tm *tm;
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| 308 | size_t len;
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| 309 | time_t now;
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| 310 |
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| 311 | now = time ( NULL );
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| 312 | tm = localtime ( &now );
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| 313 |
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| 314 | len = strftime ( time_buffer, TIME_SIZE, "%d %B %Y %I:%M:%S %p", tm );
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| 315 |
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| 316 | printf ( "%s\n", time_buffer );
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| 317 |
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| 318 | return;
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| 319 | # undef TIME_SIZE
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| 320 | }
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