C++/STL Algorithms Binary search/equal range

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equal_range and distance

  
 
/* The following code example is taken from the book
 * "The C++ Standard Library - A Tutorial and Reference"
 * by Nicolai M. Josuttis, Addison-Wesley, 1999
 *
 * (C) Copyright Nicolai M. Josuttis 1999.
 * Permission to copy, use, modify, sell and distribute this software
 * is granted provided this copyright notice appears in all copies.
 * This software is provided "as is" without express or implied
 * warranty, and with no claim as to its suitability for any purpose.
 */
#include <iostream>
#include <vector>
#include <deque>
#include <list>
#include <set>
#include <map>
#include <string>
#include <algorithm>
#include <iterator>
#include <functional>
#include <numeric>
using namespace std;
/* PRINT_ELEMENTS()
 * - prints optional C-string optcstr followed by
 * - all elements of the collection coll
 * - separated by spaces
 */
template <class T>
inline void PRINT_ELEMENTS (const T& coll, const char* optcstr="")
{
    typename T::const_iterator pos;
    std::cout << optcstr;
    for (pos=coll.begin(); pos!=coll.end(); ++pos) {
        std::cout << *pos << " ";
    }
    std::cout << std::endl;
}
/* INSERT_ELEMENTS (collection, first, last)
 * - fill values from first to last into the collection
 * - NOTE: NO half-open range
 */
template <class T>
inline void INSERT_ELEMENTS (T& coll, int first, int last)
{
    for (int i=first; i<=last; ++i) {
        coll.insert(coll.end(),i);
    }
}

int main()
{
    list<int> coll;
    INSERT_ELEMENTS(coll,1,9);
    INSERT_ELEMENTS(coll,1,9);
    coll.sort ();
    PRINT_ELEMENTS(coll);
    // print first and last position 5 could get inserted
    pair<list<int>::iterator,list<int>::iterator> range;
    range = equal_range (coll.begin(), coll.end(),
                         5);
    cout << "5 could get position "
         << distance(coll.begin(),range.first) + 1
         << " up to "
         << distance(coll.begin(),range.second) + 1
         << " without breaking the sorting" << endl;
}
/* 
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9
5 could get position 9 up to 11 without breaking the sorting
 */


Get equal range with equal_range

  
#include <algorithm>
#include <iostream>
#include <map>
#include <vector>
using namespace std;
template <class T>
void print(T& c){
   for( typename T::iterator i = c.begin(); i != c.end(); i++ ){
      std::cout << *i << endl;
   }
}
int main( ){
    const int len = 15;
    const int a[len] = { 9, 2, 3, 3, 7, 5, 7, 7, 4, 10, 5, 6, 7, 4, 7 };
    vector<int> v( a, a + len );
    vector<int>::iterator v_end = v.end();
    
    sort( v.begin(), v.end() );
    
    vector<int>::iterator start = v.begin();
    int mode_range = 0;
    int mode_grade = 0;
    pair<vector<int>::iterator,vector<int>::iterator> range;
    
    // look for the largest range, which is the mode
    while( start != v_end )
    {
        range = equal_range( start, v_end, *start );
        if( range.second - range.first > mode_range ){
           mode_range = range.second - range.first;
           mode_grade = *start;
        }
        start = range.second;
    }
    cout   << "Mode by method 2: " << mode_grade
           << "\n\nMinimum: " << v[0]
           << "  Maximum: " << v[len-1]
           << "  Median: " << v[len/2] << endl;
}


Use equal function to check for corresponding even and odd elements

  
 
/* The following code example is taken from the book
 * "The C++ Standard Library - A Tutorial and Reference"
 * by Nicolai M. Josuttis, Addison-Wesley, 1999
 *
 * (C) Copyright Nicolai M. Josuttis 1999.
 * Permission to copy, use, modify, sell and distribute this software
 * is granted provided this copyright notice appears in all copies.
 * This software is provided "as is" without express or implied
 * warranty, and with no claim as to its suitability for any purpose.
 */
#include <iostream>
#include <vector>
#include <deque>
#include <list>
#include <set>
#include <map>
#include <string>
#include <algorithm>
#include <iterator>
#include <functional>
#include <numeric>
/* PRINT_ELEMENTS()
 * - prints optional C-string optcstr followed by
 * - all elements of the collection coll
 * - separated by spaces
 */
template <class T>
inline void PRINT_ELEMENTS (const T& coll, const char* optcstr="")
{
    typename T::const_iterator pos;
    std::cout << optcstr;
    for (pos=coll.begin(); pos!=coll.end(); ++pos) {
        std::cout << *pos << " ";
    }
    std::cout << std::endl;
}
/* INSERT_ELEMENTS (collection, first, last)
 * - fill values from first to last into the collection
 * - NOTE: NO half-open range
 */
template <class T>
inline void INSERT_ELEMENTS (T& coll, int first, int last)
{
    for (int i=first; i<=last; ++i) {
        coll.insert(coll.end(),i);
    }
}

using namespace std;
bool bothEvenOrOdd (int elem1, int elem2)
{
    return elem1  2;
}

int main()
{
    vector<int> coll1;
    list<int> coll2;
    INSERT_ELEMENTS(coll1,1,7);
    INSERT_ELEMENTS(coll2,3,9);
    PRINT_ELEMENTS(coll1,"coll1: ");
    PRINT_ELEMENTS(coll2,"coll2: ");
    // check for corresponding even and odd elements
    if (equal (coll1.begin(), coll1.end(),  // first range
               coll2.begin(),               // second range
               bothEvenOrOdd)) {            // comparison criterion
        cout << "even and odd elements correspond" << endl;
    }
    else {
        cout << "even and odd elements do not correspond" << endl;
    }
}
/* 
coll1: 1 2 3 4 5 6 7
coll2: 3 4 5 6 7 8 9
even and odd elements correspond
 */


Use equal function to check whether both collections are equal

  
 
/* The following code example is taken from the book
 * "The C++ Standard Library - A Tutorial and Reference"
 * by Nicolai M. Josuttis, Addison-Wesley, 1999
 *
 * (C) Copyright Nicolai M. Josuttis 1999.
 * Permission to copy, use, modify, sell and distribute this software
 * is granted provided this copyright notice appears in all copies.
 * This software is provided "as is" without express or implied
 * warranty, and with no claim as to its suitability for any purpose.
 */
#include <iostream>
#include <vector>
#include <deque>
#include <list>
#include <set>
#include <map>
#include <string>
#include <algorithm>
#include <iterator>
#include <functional>
#include <numeric>
/* PRINT_ELEMENTS()
 * - prints optional C-string optcstr followed by
 * - all elements of the collection coll
 * - separated by spaces
 */
template <class T>
inline void PRINT_ELEMENTS (const T& coll, const char* optcstr="")
{
    typename T::const_iterator pos;
    std::cout << optcstr;
    for (pos=coll.begin(); pos!=coll.end(); ++pos) {
        std::cout << *pos << " ";
    }
    std::cout << std::endl;
}
/* INSERT_ELEMENTS (collection, first, last)
 * - fill values from first to last into the collection
 * - NOTE: NO half-open range
 */
template <class T>
inline void INSERT_ELEMENTS (T& coll, int first, int last)
{
    for (int i=first; i<=last; ++i) {
        coll.insert(coll.end(),i);
    }
}

using namespace std;
int main()
{
    vector<int> coll1;
    list<int> coll2;
    INSERT_ELEMENTS(coll1,1,7);
    INSERT_ELEMENTS(coll2,3,9);
    PRINT_ELEMENTS(coll1,"coll1: ");
    PRINT_ELEMENTS(coll2,"coll2: ");
    // check whether both collections are equal
    if (equal (coll1.begin(), coll1.end(),  // first range
               coll2.begin())) {            // second range
        cout << "coll1 == coll2" << endl;
    }
    else {
        cout << "coll1 != coll2" << endl;
    }
}
/* 
coll1: 1 2 3 4 5 6 7
coll2: 3 4 5 6 7 8 9
coll1 != coll2
 */


Use equal_range to determine both the lower- and upper-bound insertion points

  
 
#include <iostream>
using std::cout;
using std::endl;
#include <algorithm>
#include <vector>
#include <iterator>
int main()
{
   int a1[ 10 ] = { 2, 2, 4, 4, 4, 6, 6, 6, 6, 8 };
   std::vector< int > v( a1, a1 + 10 );
   std::ostream_iterator< int > output( cout, " " );
   std::copy( v.begin(), v.end(), output );
   std::pair< std::vector< int >::iterator, std::vector< int >::iterator > eq;
   eq = std::equal_range( v.begin(), v.end(), 6 );
   cout << "\n\n\nLower bound of 6 is element " << ( eq.first - v.begin() ) << " of vector v \n\n\n";
   cout << "Upper bound of 6 is element " << ( eq.second - v.begin() ) << " of vector v";
   return 0;
}
/* 
2 2 4 4 4 6 6 6 6 8

Lower bound of 6 is element 5 of vector v

Upper bound of 6 is element 9 of vector v
 */