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Additional resources for Java Software Structures: Designing and Using Data Structures (3rd Edition)
However, given the physical nature of this array, such a solution may involve having to move containers multiple times as other containers with lower ID numbers are added or removed. Again, such a solution would be very inefficient. What if we could estimate the maximum number of shipping containers that we would be storing on our dock at any given point in time? This would create the possibility of creating an array of that maximum size and then simply placing each container into the next available position in the array as it is unloaded from the ship.
Operation Description push pop peek isEmpty size Adds an element to the top of the stack. Removes an element from the top of the stack. Examines the element at the top of the stack. Determines if the stack is empty. Determines the number of elements on the stack. F I G U R E 3 . 3 D E S I G N Crucial OO Concepts F O C U S In the design of the stack ADT, we see the separation between the role of the stack and the role of the application that is using the stack. Notice that any implementation of this stack ADT is expected to throw an exception if a pop or peek operation is requested on an empty stack.
3 Comparing Growth Functions Growth Function Order Label t(n) = 17 t(n) = 3log n t(n) = 20n – 4 t(n) = 12n log n + 100n t(n) = 3n2 + 5n – 2 t(n) = 8n3 + 3n2 t(n) = 2n + 18n2 + 3n O (1) O (log n) O (n) O (n log n) O(n2) O(n3) O(2n) constant logarithmic linear n log n quadratic cubic exponential F I G U R E 2 . 2 Some growth functions and their asymptotic complexity bound and theta (Θ) which refers to a function that provides both an upper and lower bound. We will focus our discussion on order. Because the order of the function is the key factor, the other terms and constants are often not even mentioned.