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Notice that the last line in the program is commented-out Because NumericFn is a static class, any attempt to create an object will result in a compile-time error It would also be an error to attempt to give NumericFn a non-static member One last point: Although a static class cannot have an instance constructor, it can have a static constructor

_ p = _180

# allows you to define the meaning of an operator relative to a class that you create This process is called operator overloading By overloading an operator, you expand its usage to your class The effects of the operator are completely under your control and may differ from class to class For example, a class that defines a linked list might use the + operator to add an object to the list A class that implements a stack might use the + to push an object onto the stack Another class might use the + operator in an entirely different way When an operator is overloaded, none of its original meaning is lost It is simply that a new operation, relative to a specific class, is added Therefore, overloading the + to handle a linked list, for example, does not cause its meaning relative to integers (that is, addition) to be changed A principal advantage of operator overloading is that it allows you to seamlessly integrate a new class type into your programming environment This type extensibility is an important part of the power of an object-oriented language such as C# Once operators are defined for a class, you can operate on objects of that class using the normal C# expression syntax You can even use an object in expressions involving other types of data Operator overloading is one of C# s most powerful features

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Operator overloading is closely related to method overloading To overload an operator, use the operator keyword to define an operator method, which defines the action of the operator relative to its class There are two forms of operator methods: one for unary operators and one for binary operators The general form for each is shown here: // General form for overloading a unary operator public static ret-type operator op(param-type operand) { // operations } // General form for overloading a binary operator public static ret-type operator op(param-type1 operand1, param-type1 operand2) { // operations }

Part I:

x _ 3p/4 = _135

Here, the operator that you are overloading, such as + or /, is substituted for op The ret-type specifies the type of value returned by the specified operation Although it can be any type you choose, the return value is often of the same type as the class for which the operator is being overloaded This correlation facilitates the use of the overloaded operator in expressions For unary operators, the operand is passed in operand For binary operators, the operands are passed in operand1 and operand2 Notice that operator methods must be both public and static For unary operators, the operand must be of the same type as the class for which the operator is being defined For binary operators, at least one of the operands must be of the same type as its class Thus, you cannot overload any C# operators for objects that you have not created For example, you can t redefine + for int or string One other point: Operator parameters must not use the ref or out modifier

To see how operator overloading works, let s start with an example that overloads two binary operators, the + and the The following program creates a class called ThreeD, which maintains the coordinates of an object in three-dimensional space The overloaded + adds the individual coordinates of one ThreeD object to another The overloaded subtracts the coordinates of one object from the other