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We can think of this as a 2-element vector, each of whose elements is a 3-element vector:
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The advantage of this point of view is that it allows us to reuse our Vector class template to define a new Matrix class template. To facilitate the dynamic allocation of memory, we define a matrix as a vector of pointers to vectors: Vector<Vector<T>*> We are passing a class template pointer to the template parameter indicated by the outside angle brackets. This really means that when the Matrix class template is instantiated, the instances of the resulting class will contain vectors of pointers to vectors. template<class T> class Matrix { public: Matrix(unsigned r=1, unsigned c=1) : row(r) { for (int i=0; i<r; i++) row[i] = new Vector<T>(c); } ~Matrix() { for (int i=0; i<row.size(); i++) delete row[i]; } Vector<T>& operator[](unsigned i) const { return *row[i]; } unsigned rows() { return row.size(); } unsigned columns() { return row[0]->size(); protected: Vector<Vector<T>*> row; }; Here the only data member is row, a vector of pointers to vectors. As a vector, row can be used with the subscript operator: row[i] which returns a pointer to the vector that represents the ith row of the matrix. The default constructor assigns to each row[i] a new vector containing c elements of type T. The destructor has to delete each of these vectors separately. The rows() and columns() functions return the number of rows and columns in the matrix. The number of rows is the value that the member function size() returns for the Vector<Vector<T>*> object row. The number of columns is the value that the member function size() returns for the Vector<T> object *row[0], which can be referenced either by (*row[0]).size() or by row[0]->size(). Here is a test driver and a sample run: int main() { Matrix<float> a(2,3); a[0][0] = 0.0; a[0][1] = 0.1; a[0][2] = 0.2; a[1][0] = 1.0; a[1][1] = 1.1; a[1][2] = 1.2;
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cout << "The matrix a has " << a.rows() << " rows and " << a.columns() << " columns:\n"; for (int i=0; i<2; i++) { for (int j=0; j<3; j++) cout << a[i][j] << " "; cout << endl; } } The matrix a has 2 rows and 3 columns: 0 0.1 0.2 1 1.1 1.2 The matrix a can be visualized like this:
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Matrix<float> Matrix() ~Matrix() operator[]() rows() columns() a size 2 size 3 size 3
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data 0 0.0
data 0 0.0
0.1 0.2
0.1 0.2
Vector<float>
Vector<float>
The diagram shows the situation during one of the subscript access calls a[1][2]. Notice that the actual data values 0.2, 1.1, etc., are stored in two separate Vector<float> objects. The Matrix<float> object m only contains pointers to those objects. Note that our Matrix class template used composition with the Vector class template, while our Array class template used inheritance with the Vector class template.
13.7 A CLASS TEMPLATE FOR LINKED LISTS Linked lists were introduced in Example 10.13 on page 244. These data structures provide an alternative to vectors, with the advantage of dynamic storage. That is, unlike vectors, linked lists can grow and shrink dynamically according to how many data items are being stored. There is no wasted space for unused elements in the list. EXAMPLE 13.7 A List Class Template
A list consists of a linked sequence of nodes. Each node contains one data item and a link to the next node. So we begin by defining a ListNode class template: template<class T> class ListNode { friend class List<T>; public: ListNode(T& t, ListNode<T>* p) : data(t), next(p) { } protected: T data; // data field ListNode* next; // points to next node in list };
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The constructor creates a new node, assigning the T value t to its data field and the pointer p to its next field:
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