next up previous contents
Next: Two-Dimensional Maps (map2) Up: Dictionaries Previous: Hashing Arrays (h_array)

   
Maps (map)

Definition

An instance M of the parameterized data type map<I,E> is an injective mapping from the data type I, called the index type of M, to the set of variables of data type E, called the element type of M. I must be a pointer, item, or handle type or the type int. We use M(i) to denote the variable indexed by i. All variables are initialized to xdef, an element of E that is specified in the definition of M. A subset of I is designated as the domain of M. Elements are added to dom(M) by the subscript operator; however, the domain may also contain indices for which the access operator was never executed.

Related data types are d_arrays, h_arrays, and dictionaries.

Creation

map<I,E> M; creates an injective function m from I to the set of unused variables of type E, sets xdef to the default value of type E (if E has no default value then xdef is set to an unspecified element of E), and initializes M with m.

map<I,E>

M(E x); creates an injective function m from I to the set of unused variables of type E, sets xdef to x, and initializes M with m.

   

Operations

E& M[I i] returns the variable M(i) and adds i to dom(M). If M is a const-object then M(i) is read-only and i is not added to dom(M).
bool M.defined(I i) returns true if i in dom(M).
void M.clear() makes M empty.
void M.clear(E x) makes M empty and sets xdef to x.


Iteration

forall_defined(i,M) $\{$ ``the indices i with i in dom(M) are successively assigned to i'' $\}$

forall(x,M) $\{$ ``the entries M[i] with i in dom(M) are successively assigned to x'' $\}$

Implementation

Maps are implemented by hashing with chaining and table doubling. Access operations M[i] take expected time O(1).


next up previous contents
Next: Two-Dimensional Maps (map2) Up: Dictionaries Previous: Hashing Arrays (h_array)
LEDA research project
1998-10-02