📄 fig23_40.cpp
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// Fig. 23.40: Fig23_40.cpp
// Using a bitset to demonstrate the Sieve of Eratosthenes.
#include <iostream>
using std::cin;
using std::cout;
using std::endl;
#include <iomanip>
using std::setw;
#include <cmath>
using std::sqrt; // sqrt prototype
#include <bitset> // bitset class definition
int main()
{
const int SIZE = 1024;
int value;
std::bitset< SIZE > sieve; // create bitset of 1024 bits
sieve.flip(); // flip all bits in bitset sieve
sieve.reset( 0 ); // reset first bit (number 0)
sieve.reset( 1 ); // reset second bit (number 1)
// perform Sieve of Eratosthenes
int finalBit = sqrt( static_cast< double > ( sieve.size() ) ) + 1;
// determine all prime numbers from 2 to 1024
for ( int i = 2; i < finalBit; i++ )
{
if ( sieve.test( i ) ) // bit i is on
{
for ( int j = 2 * i; j < SIZE; j += i )
sieve.reset( j ); // set bit j off
} // end if
} // end for
cout << "The prime numbers in the range 2 to 1023 are:\n";
// display prime numbers in range 2-1023
for ( int k = 2, counter = 1; k < SIZE; k++ )
{
if ( sieve.test( k ) ) // bit k is on
{
cout << setw( 5 ) << k;
if ( counter++ % 12 == 0 ) // counter is a multiple of 12
cout << '\n';
} // end if
} // end for
cout << endl;
// get value from user
cout << "\nEnter a value from 2 to 1023 (-1 to end): ";
cin >> value;
// determine whether user input is prime
while ( value != -1 )
{
if ( sieve[ value ] ) // prime number
cout << value << " is a prime number\n";
else // not a prime number
cout << value << " is not a prime number\n";
cout << "\nEnter a value from 2 to 1023 (-1 to end): ";
cin >> value;
} // end while
return 0;
} // end main
/**************************************************************************
* (C) Copyright 1992-2005 by Deitel & Associates, Inc. and *
* Pearson Education, Inc. All Rights Reserved. *
* *
* DISCLAIMER: The authors and publisher of this book have used their *
* best efforts in preparing the book. These efforts include the *
* development, research, and testing of the theories and programs *
* to determine their effectiveness. The authors and publisher make *
* no warranty of any kind, expressed or implied, with regard to these *
* programs or to the documentation contained in these books. The authors *
* and publisher shall not be liable in any event for incidental or *
* consequential damages in connection with, or arising out of, the *
* furnishing, performance, or use of these programs. *
**************************************************************************/
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