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The map class does not allow duplicate keys. Note that the subscript operator replaces existing elements when a duplicate key is inserted, so that the last pair inserted is the one that remains. But the insert() function does not replace existing elements when a duplicate key is inserted, so the first pair inserted is the one that remains. The print() function uses the iterator it to traverse the map. On each iteration of the for loop, it points to a pair object whose first component is the key value and whose second component is the data object. These two componenets are accessed by the expressions it->first and it->second. The first component is a string, the four-letter name of the country. The second component is a Country object which can be passed to the output operator since it is overloaded in the Country class definition. Note that the pairs are sorted automatically by their key values. The find() function uses the find member function of the map class. The call m.find(s) returns an iterator that points to the map element whose first component equals s. If no such element is found, then the returned pointer points to m.end(), which is the dummy element that follows the last element of the map container.
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D.8 THE set CLASS TEMPLATE A set object acts like a map object with only the keys stored. The set class template is defined in the <set> header. EXAMPLE D.9 Using set Functions
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The program defines overloaded operators +, *, and - to perform set-theoretic union, intersection, and relative complement operations. These are implemented using the insert() and erase() member functions and the the set_intersection() and set_difference() generic algorithms (nonmember functions). This example illustrates the distinctions between the set generic algorithms (set_union(), set_difference(), and set_difference()) and the corresponding set-theoretic operations (union, intersection, and complement). #include <iostream> #include <set> #include <string> using namespace std; typedef set<string> Set; typedef set<string>::iterator It; void print(Set); Set operator+(Set&,Set&); // union Set operator*(Set&,Set&); // intersection Set operator-(Set&,Set&); // relative complement
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int main() { string str1[] = { "A", "B", "C", "D", "E", "F", "G" }; string str2[] = { "A", "E", "I", "O", "U" }; Set s1(str1,str1+7); Set s2(str2,str2+5); print(s1); print(s2); print(s1+s2); print(s1*s2); print(s1-s2); }
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Set operator+(Set& s1, Set& s2) { Set s(s1); s.insert(s2.begin(),s2.end()); return s; } Set operator*(Set& s1, Set& s2) { Set s(s1); It it = set_intersection(s1.begin(),s1.end(), s2.begin(),s2.end(),s.begin()); s.erase(it,s.end()); return s; } Set operator-(Set& s1, Set& s2) { Set s(s1); It it = set_difference(s1.begin(),s1.end(), s2.begin(),s2.end(),s.begin()); s.erase(it,s.end()); return s; } void print(Set s) { cout << "size=" << s.size() << ": {"; for (It it=s.begin(); it != s.end(); it++) if (it == s.begin()) cout << *it; else cout << "," << *it; cout << "}\n"; } size=7: {A,B,C,D,E,F,G} size=5: {A,E,I,O,U} size=10: {A,B,C,D,E,F,G,I,O,U} size=2: {A,E} size=5: {B,C,D,F,G} The set objects s1 and s2 are constructed from the string arrays str1 and str2 using the expressions str1, str1+7, str2, and str2+7 as iterators. The elements of a set object are always stored in sorted order. That allows the union function (operator+()) to be implemented with the set::insert() function. The main reason why the set generic algorithms do not produce directly the expected set-theoretic operations is that they leave the size of the target set unchanged. Thus we use the erase() member function together with the set_intersection() and set_difference() generic algorithms to implement the operator*() and operator-() functions.
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Appendix E
Standard C++ Generic Algorithms
The generic algorithms in standard C++ are the 70 nonmember function templates that apply to container objects. There are 66 listed here alphabetically. We use the symbol [p,q[ to represents the segment of elements from *p to *(q-1)(i.e., including the element *p but excluding the element *q). The parameters are
iterator p, q; iterator r; unsigned n; T& x, y; class p; // // // // // used to describe the segment [p,q[ p <= r <= q used as a counter values of the sequence s element type a predicate class, with boolean operator()()
The parameter list (p,q,pp) is used frequently; it means that the elements from the segment [p,q[ are to be copied into the segment [pp,pp+n[ where n is the number of elements in [p,q[, namely q-p. For simplicity, we use arrays instead of general container objects. In that context, pointers serve as iterators. Recall that if a is an array and k is an int then a+k represents the subarray that starts with a[k], and *(a+k) = a[k]. Also, if l is the length of the array, then a+l points to the (imaginary) element that follows the last element of the array. The following print() function is used to display the n element a[0],...,a[n-1] of an array a:
void print(int* a, int n) { cout << "n=" << n << ": {" << a[0]; for (int i=1; i<n; i++) cout << "," << a[i]; cout << "}\n"; }
The 66 algorithms listed here naturally fall into 8 groups, summarized in the following tables: Searching and Sorting Algorithms in <algorithm>
binary_search() inplace_merge() lower_bound() merge() nth_element() partial_sort() partition() sort() upper_bound() Determines whether a given value is an element in the segment. Merges two adjacent sorted segments into one sorted segment. Finds the first element in the segment that has a given value. Merges two sorted segments into a third sorted segment. Finds the first occurrence of a given value. Sorts the first n elements of the segment. Partitions the segment so that P(x) is true for the elements in the first part. Sorts the segment. Finds the last element in the segment that has a given value.
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