Two Dimensional Arrays ( array2 )

Definition

An instance A of the parameterized data type array2<E> is a mapping from a set of pairs I = [a..b] x [c..d], called the index set of A, to the set of variables of data type E, called the element type of A, for two fixed intervals of integers [a..b] and [c..d]. A(i, j) is called the element at position (i, j).

#include < LEDA/core/array2.h >

Creation

array2<E>	A(int a, int b, int c, int d)
		creates an instance A of type array2<E> with index set [a..b] x [c..d].
array2<E>	A(int n, int m)	creates an instance A of type array2<E> with index set [0..n - 1] x [0..m - 1].

Operations

void	A.init(const E& x)	assigns x to each element of A.
E&	A(int i, int j)	returns A(i, j). Precondition a < = i < = b and c < = j < = d.
int	A.low1()	returns a.
int	A.high1()	returns b.
int	A.low2()	returns c.
int	A.high2()	returns d.

Implementation

Two dimensional arrays are implemented by C++vectors. All operations take time O(1), the space requirement is O(I*sizeof (E)).