David Evans cs.virginia/~evans

1. Lecture 12: Behavioral Subtyping David Evans http://www.cs.virginia.edu/~evans CS201j: Engineering Software University of Virginia Computer Science

2. Menu • Subtyping • Inheritance • What is Object-Oriented Programming CS 201J Fall 2002

3. Cell Subtyping ConwayLifeCell is a subtype of Cell Cell is a supertype of ConwayLifeCell ConwayLifeCell≤Cell ConwayLifeCell CS 201J Fall 2002

4. Subtype Substitution • If B is a subtype of A, everywhere the code expects an A, a B can be used instead • Examples: c1 must be a subtype of Cell (note A is a subtype of A) Cell c = c1; Cell c = new ConwayLifeCell (); ConwayLifeCell c = new Cell (); CS 201J Fall 2002

5. Subtype Examples java.util.Vector: public void addElement (Object obj); public class SpeciesSet { Vector elements; public void insert (Species s) { elements.addElement (s); } Why we can use a Species where an Object is expected? CS 201J Fall 2002

6. Java’s Type Hierarchy Object Cell Species ConwayLifeCell Object is the ultimate supertype of every object type. CS 201J Fall 2002

7. RotationPathInterpolator PathInterpolator Interpolator Node Selector Leaf SceneGraphObject Not at all uncommon to have class hierarchies like this! Java 3D Class Hierarchy Diagram http://java.sun.com/products/java-media/3D/collateral/j3dclass.html CS 201J Fall 2002

8. Subtype Examples java.util.Vector: public void addElement (Object obj); public class IntSet { Vector elements; public void insert (int x) { elements.addElement (x); } Primitive types are not subtypes of Object. elements.addElement (new Integer (x)); But Integer is… CS 201J Fall 2002

9. Inheritance • To implement a subtype, it is often useful to use the implementation of its supertype • This is also called “subclassing” • In Java: class B extends A B is a subtype of A B inherits from A class C implements F C is a subtype of F both subtyping and inheritance just subtyping CS 201J Fall 2002

10. Inheritance and Subtyping public class ExtremeLifeCell extends Cell { public CellState getNextState () // EFFECTS: Returns the next state for this cell. // The next state will be alive if this cell or any of its neighbors // is currently alive. { if (countAliveNeighbors () > 0) { return CellState.createAlive (); } else { return getState (); } } } ExtremeLifeCell is a subtype of Cell - anywhere a Cell is expected, we can use an ExtremeLifeCell ExtremeLifeCell inherits from Cell - the rep of an ExtremeLifeCell includes the rep of Cell - all public methods and constructors of Cell are also available for ExtremeLifeCell CS 201J Fall 2002

11. Method Dispatch • B is a subtype of A • If both A and B have a method display which method should be called? A a = new A (); B b = new B (); a.display (); b.display (); a = b; a.display () Calls class A’s display method Calls class B’s display method Calls class B’s display method CS 201J Fall 2002

12. Dynamic Dispatch • Search for the method up the type hierarchy, starting from the actual (dynamic) type of the object apparent type A a = new A (); B b = new B (); a.display (); b.display (); a A actual type b B apparent type actual type CS 201J Fall 2002

13. Dynamic Dispatch • Search for the method up the type hierarchy, starting from the actual (dynamic) type of the object apparent type A a = new A (); B b = new B (); a.display (); b.display (); a = b; a A actual type b B apparent type Now: apparent type of a is A, actual type of a is B actual type CS 201J Fall 2002

14. public class Grid { /*@non_null@*/ Cell [][] cells; … public void step () // MODIFIES: this // EFFECTS: Executes one step for each cell in the grid. { CellState [][] nextStates = new CellState [rows][columns]; // Since we need to update all cells synchronously, we first calculate the next // state for each cell, and store it in a temporary array. Then, we update all cells. for (int i = 0; i < rows; i++) { for (int j = 0; j < columns; j++) { nextStates [i][j] = cells[i][j].getNextState (); } } for (int i = 0; i < rows; i++) { for (int j = 0; j < columns; j++) { cells[i][j].setState (nextStates[i][j]); } } } } } apparent type: Cell actual type: any subtype of Cell (could be ConwayLifeCell) CS 201J Fall 2002

15. Apparent and Actual Types • Apparent types are associated with declarations: they never change • Actual types are associated with object: they are always a subtype of the apparent type • Compiler does type checking using apparent type • Virtual Machine does method dispatch using actual type CS 201J Fall 2002

16. Downcasting java.util.Vector: public Object elementAt (int i); public class StringSet { Vector elements; public String choose () { String s = elements.elementAt (0); return s; } String s = (String) elements.elementAt (0); Casting changes the apparent type. The VM must check that the actual type is a subtype of the cast type. CS 201J Fall 2002

17. A Type Hierarchy Shape Quadrangle Equilateral Triangle Parallelogram EquilateralTriangle Rhombus Rectangle What are the supertypes of Square? Square What are the subtypes of Parallelogram? CS 201J Fall 2002

18. A Class Hierarchy Shape Quadrangle Equilateral Triangle Parallelogram EquilateralTriangle Rhombus Rectangle Square CS 201J Fall 2002

19. Reusing Implementations • Shapes should have a setColor method • Change Shape, Quadrangle, Parallelogram, Triangle, Equilateral, EquilateralTriangle, Rhombus, Rectangle, Square, etc. • Change Shape others inherit new attribute and method automatically CS 201J Fall 2002

20. Add isEquilateral method class Shape { public bool isEquilateral () { return false; } } class Equilateral { public bool isEquilateral () { return true; } } CS 201J Fall 2002

21. Is a Rhombus equilateral? Shape isEquilateral () { return false; } isEquilateral () { return true; } Quadrangle Equilateral Parallelogram Inheritance can be tricky! Rhombus isEquilateral? CS 201J Fall 2002

22. Solutions • Java • Allow multiple supertypes using interfaces, but only one implementation • Pro: Safe and Simple, Con: Limits Reuse • C++ • Allow it, let programmers shoot themselves if they want • Eiffel • Explicit renaming or hiding (error if not done) CS 201J Fall 2002

23. Java’s Solution: Interfaces • Define a type with no implementation • Classes can implement many interfaces: class B extends A implements I1, I2, I3 { … } means B is a subtype of A, I1, I2, and I3 B inherits the implementation of A CS 201J Fall 2002

24. Example Interface public interface Comparable { int compareTo(Object o) { // EFFECTS: Compares this object with the specified // object for order. Returns a negative integer, zero, // or a positive integer as this object is less than, // equal to, or greater than the specified object. } CS 201J Fall 2002

25. Object-Oriented Programming CS 201J Fall 2002

26. What is an Object? • Packaging state and procedures • state: the rep • What a thing is • procedures: methods and constructors • What you can do with it CS 201J Fall 2002

27. What is Object-Oriented Programming? CS 201J Fall 2002

28. Bjarne Stroustrup’s Answer “Object-oriented programming is programming with inheritance. Data abstraction is programming using user-defined types. With few exceptions, object-oriented programming can and ought to be a superset of data abstraction. These techniques need proper support to be effective. Data abstraction primarily needs support in the form of language features and object-oriented programming needs further support from a programming environment. To be general purpose, a language supporting data abstraction or object-oriented programming must enable effective use of traditional hardware.” CS 201J Fall 2002

29. “I invented the term Object-Oriented and I can tell you I did not have C++ in mind.” Alan Kay CS 201J Fall 2002

30. Programming Language History • Before 1954: twidling knobs, machine code, assembly code • FORTRAN (John Backus, UVa dropout, 1954) – Formula Translation • Algol (Peter Naur, Alan Perlis, et. al., 1958-1960) • Most influential programming language • Many of the things Algol did first (types, while, blocks) are in Java CS 201J Fall 2002

31. Programming Language History • Simula (Dahl and Nygaard, 1962-7) • First language with subtyping and inheritance • CLU (Liskov et. al., 1970s) • First language with good support for data abstraction (but no subtyping or inheritance) • Smalltalk (Kay et. al., 1970s) • First successful language and programming system to support subtyping and inheritance CS 201J Fall 2002

32. Object-Oriented Programming • Object-Oriented Programming is a state of mind where you program by thinking about objects • It is difficult to reach that state of mind if your language doesn’t have: • Mechanisms for packaging state and procedures • Java has class • Subtyping • Java has extends (subtype and subclass) and implements (subtype) • Other things can help: dynamic dispatch, implementation inheritance, automatic memory management, mixins, good Indian food, Krispy Kremes, etc. CS 201J Fall 2002

33. Who was the first object-oriented programmer? CS 201J Fall 2002

34. By the word operation, we mean any process which alters the mutual relation of two or more things, be this relation of what kind it may. This is the most general definition, and would include all subjects in the universe. Again, it might act upon other things besides number, were objects found whose mutual fundamental relations could be expressed by those of the abstract science of operations, and which should be also susceptible of adaptations to the action of the operating notation and mechanism of the engine... Supposing, for instance, that the fundamental relations of pitched sounds in the science of harmony and of musical composition were susceptible of such expression and adaptations, the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent. • Ada, Countess of Lovelace, around 1830 CS 201J Fall 2002

35. Charge • Exam 1: out Thursday 10 Oct, due Tuesday 15 Oct • Bring your questions to Thursday’s class • Week after: • When is it safe to say B is a subtype of A? • Enjoy your reading vacation! CS 201J Fall 2002