Operator Overloading
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1 C++ Programming: Operator Overloading 2018 년도 2 학기 Instructor: Young-guk Ha Dept. of Computer Science & Engineering
2 Contents Operator overloading Basics on operator overloading Overloading operators as top-level functions Overloading C++ operators I/O operators Assignment operators Special operators Memory management operators 2
3 Basics on Overloading What is overloading in C++ Refers to multiple definitions of the same name or symbol Types of C++ overloading Function overloading Multiple definitions for a top-level function name Method overloading Multiple definitions for a method name within a class Operator overloading Multiple definitions for an operator such as +, -, ++, Actually, an overloaded operator is a user-defined function (or method) that retains the convenience of operator syntax I.e., an operator can be overloaded as either a top-level function or a method 3
4 Examples of C++ Built-in Overloaded Operators Arithmetic operators Division OP / E.g.) int i = 2 / 3; float f = 2.0 / 3.0; // integer division // float division I/O operators Input OP >> and output OP << E.g.) cin >> i; cout << i; i >> 3 << 5; // originally defined as // bitwise shift OPs 4
5 C++ Operators That Can Be Overloaded new new[] delete delete[] + - * / % ^ & ~! = < > += -= *= /= %= ^= &= = << >> <<= >>= ==!= <= >= && ++ --,.* ->* -> () [] 5
6 Notices on C++ Operator Overloading Operators that can NOT be overloaded Member selection OP. Scope resolution OP :: Conditional OP? : E.g.) int i = (a > b)? a : b; Overloaded operators defined in the base class are inherited to its derived classes Operators NOT to be inherited: assignment OP = 6
7 Motivating Example Addition of two objects Suppose we have class C and two C objects Add two C objects and the result is another C object class C { public: C add(c& c) { ; C add(c& c1, C& c2) { // E.g. 2: function add a = add(b, c); C a, b, c; // E.g. 1: method C::add a = b.add(c); // overloaded + a = b + c; 7
8 Defining Overloaded Operator as a Method class C { public: C operator+(const C&) const; // declare + as a method named operator+ ; C C::operator+(const C& c) const { // implement the method in the usual way C a, b, c; a = b.operator+(c); // invoke method operator+ of b a = b + c; // == the method as an operator + Note that the 1st operand of + is object b whose method is invoked 8
9 Defining Operands as Parameters Overloading a binary operator A binary operator needs two operands a + b, a / b, a = b, The method has one parameter The 1st operand becomes the object whose method is invoked The 2nd operand becomes the single argument to the method Overloading a unary operator A unary operator needs just one operand!a, a++, &a, The method has no parameter The single operand becomes the object whose method is invoked 9
10 Operator Overloading Example 1 class C { public: // binary OP % C operator%(const C&); ; // unary OP! C operator!(); // void main() { C c1, c2, c3; c1 = c2 % c3; // same as // c1 = c2.operator%(c3); c1 =!c2; // same as // c1 = c2.operator!(); 10
11 Operator Overloading Example 2 // Class ordered pair class OPair { public: OPair(float f1 = 0.0, float f2 = 0.0) { p1 = f1; p2 = f2; bool operator==(const OPair&); private: float p1, p2; ; // Extends the definition of == // to compare OPair objects bool OPair::operator==(const OPair& s) { return (p1 == s.p1) && (p2 == s.p2); void main() { OPair s1(1, 2), s2(2, 1); if (s1 == s2) { // same as // s1.operator==(s2) 11
12 Operator Overloading Example 3 // Class Complex representing complex numbers class Complex { public: Complex(double r) : real(r), imag(0) { Complex(double r, double i) : real(r), imag(i) { Complex operator+(const Complex& c) { ; return Complex(real + c.real, imag + c.imag); // defines other operators and methods private: double real; double imag; // real part // imaginary part Complex c1(0), c2(1.0, 2.0), c3(2.0, 3.0); // c1 = 0.0, c2 = i, c3 = i c1 = c2 + c3; // c1 = c2 + c3 = i 12
13 Operator Overloading Example 4 class Foo { private: int bar; public: Foo(int val) { bar = val; bool operator==(const Foo& other) { return *this == other; Foo a(10), b(10); if (a == b) cout << Same objects. ; else cout << Different objects. ; // result? 13
14 Operator Syntax and Precedence Operator syntax and precedence do NOT change through overloading Number of operands E.g., if a built-in OP is unary, then all overloaded OPs are unary, if a built-in OP is binary, then all overloaded OPs are binary Occurrence of operands E.g., a unary OP that occurs before its operand must occur before its operand even when overloaded: a! (x), a~ (x), a* (x) Priority of operators E.g., priority of arithmetic operators: * always precedes + even when overloaded 14
15 Operator Overloading Example 5 int main() { // Class Complex defines overloaded OPs + and * that // have the same precedence as the original OPs Complex c1, c2, c3, ans; ans = c1 + c2 * c3; // is equivalent to // ans = c1 + (c2 * c3); class C { public: C operator%(); // ERROR: % is originally a binary OP 15
16 Overloading Operators as Top-Level Functions An overloaded operator can also be defined as a toplevel function class C { ; // overloaded operator + as a top-level function C operator+(const C& c1, const C& c2) { C a, b, c; // using overloaded operator + a = operator+(b, c); a = b + c; 16
17 Defining Operands as Parameters Overloading a binary operator A binary operator needs two operands a + b, a / b, a = b, The top-level function has two parameters The 1st operand becomes the 1st argument of the function The 2nd operand becomes the 2nd argument of the function Overloading a unary operator A unary operator needs just one operand!a, a++, &a, The top-level function has one parameter The single operand becomes the single argument 17
18 Notices on Operator Overloading Using Top-Level Functions An OP overloaded as a top-level function MUST include at least one class operand Otherwise, in some cases, the system could not distinguish between built-in OP and user-defined OP E.g., x + y : + is overloaded, but x and y are still ints (x) E.g., c1 + c2 : c1 and c2 are C objects, and + is overloaded for C Note memory management OPs need NOT include a class object argument (will be discussed later) E.g., new, new[], delete, and delete[] [], =, (), and -> OPs MUST be overloaded as methods to ensure that the 1st operand is a class object This prevents some expression errors from illegal syntax E.g., 9[obj], 6.32 = obj, 100(a, b), 3->obj 18
19 Operator Overloading Example 6 // ERROR: neither f1 nor f2 is a class object float operator%(int f1, int f2) { int a, b, c; a = b % c; // built-in % or overloaded %? // ERROR: [] must be overloaded as a method void operator[](int i, Point& s) { Point obj; 9[obj]; // illegal expression 19
20 Problem of OP Overloading with a Method class Complex { public: // convert constructors Complex(double r); Complex(double r, double i); // OP + as a method Complex operator+(const Complex& c1); ; void main() { Complex a(0), b(4.3, -8.2); a = b + 5.1; // OK: interpreted as // a = b.operator+(5.1) // by implicit type conv. // a = b.operator+(complex(5.1)) // by commutative law of + a = b; // ERROR: interpreted as // a = 5.1.operator+(b) 20
21 Solution to the Previous Problem Using a Top-Level Function class Complex { public: // convert constructors Complex(double r); Complex(double r, double i); ; void main() { Complex a(0), b(4.3, -8.2); a = b + 5.1; // OK: interpreted as // a = operator+(b, 5.1) // a = operator+(b,complex(5.1)) // OP + as a top-level func. Complex operator+( const Complex& c1, const Complex& c2) { a = b; // OK: interpreted as // a = operator+(5.1, b) // a = operator+(complex(5.1),b) 21
22 Problem of OP Overloading with a Top-Level Function Consider the following implementation of overloaded operator + in the previous example class Complex { public: private: double real; double imag; ; Complex operator+(const Complex& c1, const Complex& c2) { return Complex(c1.real + c2.real, c1.imag + c2.imag); What is the problem of the above example? 22
23 Solutions to the Previous Problem 1) Make real and imag public This explicitly violates information hiding of OO design principle 2) Use public accessor methods for real and imag A generic pattern for OO programming Preserves information hiding principle 3) Allow function operator+ to directly access real and imag Declare it as a friend function of class Complex 23
24 Operator Overloading Example 7: Using public Accessor Methods class Complex { public: Complex(double r, double i); double get_real() const { return real; double get_imag() const { return imag; private: double real; double imag; // Complex + OP as a top-level function Complex operator+(const Complex& t,const Complex& u) { return Complex(t.get_real() + u.get_real(), t.get_imag() + u.get_imag()); 24
25 friend Functions A class s private members are accessible only to its own methods and its friend functions Similarly, a class s protected members are accessible to its friend functions as well Note friend functions are NOT methods However, they are declared inside the class Thus, it can be prevented to access to critical data from suspicious and malicious codes via public accessor methods Nevertheless, it still violates strict interpretation of the OO design principle It is recommended to use friend functions carefully only for operator overloading 25
26 Operator Overloading Example 8: Using a friend Function class Complex { public: Complex(double r, double i); // friend function declaration friend Complex operator+(const Complex&, const Complex&); private: double real; double imag; // Complex + OP as a top-level function Complex operator+(const Complex& c1, const Complex& c2) { return Complex(c1.real + c2.real, c1.imag + c2.imag); 26
27 Access Rights to Members Methods / Functions Access modifier public protected private Methods in the same class Methods in the same class hierarchy Methods in external classes or external functions friend functions 27
28 Overloading the I/O Operators By default, the system overloads bitwise shift operators ( >> and << ) as I/O operators for built in types By defining those operators as methods of basic I/O classes (basic_istream, basic_ostream) For formatted input of built-in types E.g.) cin >> i, where i is an int Interpreted as cin.operator>>(&i) Reads a value from the keyboard and stores it into i For formatted output of built-in types E.g.) cout << f, where f is a float Interpreted as cout.operator<<(f) Writes the value of f to the display 28
29 Overloading the I/O Operators (cont.) The I/O operators can be further overloaded for userdefined types The first operand of I/O operators belong to a system class e.g., >> is overloaded as basic_istream method To overload those I/O operators for user-defined types, it is required to modify system classes we should not do this, even if we could Thus I/O operators must be overloaded for a user-defined type as top-level functions Note that the overloaded I/O operators may need to be declared friend functions of the user-defined class 29
30 Example of Overloading >> class Complex { friend istream& operator>>(istream&, Complex&); // >> declared a friend of Complex ; istream& operator>>(istream& in, Complex& c) { return in >> c.real >> c.imag; // the istream is returned for chaining inputs Complex c_obj, c1_obj, c2_obj; cin >> c_obj; // operator>>(cin, c_obj) // cin >> c_obj.real >> c_obj.imag cin >> c1_obj >> c2_obj; // chain input (left-associative) // (cin >> c1_obj) >> c2_obj // cin >> c2_obj 30
31 Example of Overloading << class Complex { friend ostream& operator<<(ostream&, Complex&); // << declared a friend of Complex ; ostream& operator<<(ostream& out, Complex& c) { return out << c.real << + << c.imag << i << \n ; // the ostream is returned for chaining outputs Complex c_obj(1, 2), c1_obj(3, 4), c2_obj(5, 6); cout << c_obj; // operator<<(cout, c_obj) // 1+2i cout << c1_obj << c2_obj; // chain output (left-associative) // (cout << c1_obj) << c2_obj // cout << c2_obj 31
32 Overloading the Assignment Operator Copying objects belonging to the same class By copy constructor Create a new object by copying another object By assignment operator Copies an existing object to another object The system provides a copy constructor and an assignment operator for a class by default The compiler-provided ones simply copy each data member of the source object to the corresponding data member of the target object Programmers typically need to define ones for classes whose data members include pointers to dynamically allocated storages (refer to Section 3.5 for details) 32
33 Example of Compiler-Provided Assignment Operator class C { public: void set_x(int i) { x = i; void dump() const { cout << x << n ; private: int x; ; -999 int main() { -999 C c1, c2; c1.set_x(-999); c1.dump(); c2 = c1; // default assignment operator c2.dump(); 33
34 Problem of Compiler-Provided Assignment Operator class Namelist { public: Namelist(const Namelist&); Namelist(const string[], int); private: string* p; void copyintop(const Namelist&); ; Namelist::Namelist(const Namelist& d) : p(0) { copyintop(d); Namelist::Namelist(const string s[], int si) { p = new string[size = si]; for (int i = 0; i < size; i++) p[i] = s[i]; void Namelist::copyIntoP(const Namelist& d) { delete[] p; if (d.p!= 0) { p = new string[size = d.size]; for (int i = 0; i < size; i++) p[i] = d.p[i]; else { p = 0; size = 0; void main() { string list[] = {"Lab", "Husky", "Collie ; Namelist d1(list, 3), d2; d1.dump(); d2 = d1; d2.dump(); d2.set("great Dane", 1); d2.dump(); d1.dump(); 34
35 Before Overloading = Namelist d1(list, 3); d1.dump(); Lab Husky Collie Namelist d2; d2 = d1; d2.dump(); Lab Husky Collie copy d2.set( Great Dane, 1); d2.dump(); Lab Great Dane Collie d1.dump(); Lab Great Dane Collie 35
36 Example of Programmer-Written Assignment Operator class Namelist { public: Namelist& operator=( private: ; string* p; const Namelist&); void copyintop(const Namelist&); Namelist& Namelist::operator=( const Namelist& d) { if (this!= &d) copyintop(d); return *this; // for cascading void Namelist::copyIntoP(const Namelist& d) { delete[] p; if (d.p!= 0) { p = new string[size = d.size]; for (int i = 0; i < size; i++) p[i] = d.p[i]; else { p = 0; size = 0; void main() { string list[] = {"Lab", "Husky", "Collie ; Namelist d1(list, 3), d2; d1.dump(); d2 = d1; d2.dump(); d2.set("great Dane", 1); d2.dump(); d1.dump(); 36
37 After Overloading = The programmer s version of assignment operator Ensures that the new object and the original object have their own copies of the same data member p I.e., it does not simply copy d1.p to d2.p, but creates different storage for d2.p and then copies each element (string) in the storage to which d1.p points Namelist d2; d2 = d1; d2.set( Great Dane, 1); d2.dump(); Lab Great Dane Collie d1.dump(); Lab Husky Collie New copy Great Dane 37
38 Enabling Cascaded Assignment Note the programmer s version of overloaded assignment operator returns the pointer to the Namelist object itself (*this) to enable the cascaded assignment Namelist& Namelist::operator=(const Namelist& d) { if (this!= &d) copyintop(d); return *this; Namelist d1, d2, d3; d3 = d2 = d1; // = is right-associative // d3 = (d2 = d1) // means d3.operator=(d2.operator=(d1)) // d2 = d2 // means d3.operator=(d2) 38
39 Overloading Special Operators Special operators Subscriber operator [] E.g.) a[10] Function call operator () E.g.) setname( Kim ) Increment operator ++ E.g.) i++ or ++i Decrement operator -- E.g.) i-- or --i Type conversion operator Converts from a class type to some other type (i.e., reverse of convert constructor) 39
40 Overloading the Subscriber Operator The subscriber operator MUST be overloaded as a method With nonconst returntype: used to access and modify an object of returntype class C { returntype& operator[](paramtype); ; C arr; j = arr[i]; arr[i] = j; With const returntype: used to access, but not modify, an object of returntype class C { const returntype& operator[](paramtype); ; C arr; j = arr[i]; arr[i] = j; // *** error 40
41 Example of Array Bound Checking by Overloading [] class intarray { public: intarray(int s); int& operator[](int); int get_size() { return size; private: int size; int* a; ; intarray::intarray(int s) { try { a = new int[s]; catch(bad_alloc) { cerr << Unable to allocate storage for intarray\n ; throw; size = s; int& intarray::operator[](int i) { if (i < 0 i >= size) throw string( OutOfBounds ); return a[i]; void main() { intarray b(5); int i; try { OutOfBounds i = 5 for (i=0; i<b.get_size(); i++) b[i] = 2 * i; for (i = 0; i < 6; i++) cout << b[i] << \n ; catch (string s) { cerr << s << \n ; cerr << i = << i << \n ; 41
42 Overloading the Function Call Operator The function call operator also MUST be overloaded as a method class C { ; returntype operator()(paramtype1, paramtype2, ); E.g.) Suppose that paramtype1 = float and paramtype2 = string C c; c(12.3, Kim ); is interpreted as c.operator()(12.3, Kim ); 42
43 Example of 2D Array Bound Checking by Using Overloaded () Instead of accessing the cell at i, j using 2D subscriber OP [][], use overloaded function call OP () E.g., arr[i][j] arr(i, j) Method arr(i, j) accesses an item at cell (i * size2 + j) in the 1D representation of 2D array a Further, checks whether i and j is in bounds [2D array a] j(2) [1D representation of 2D array a] a[1][2] a[i][j]=a[i * size2 + j] i(1) size1 size1 * size2 size2 43
44 Example of 2D Array Bound Checking by Using Overloaded () (cont.) class inttwoarray { public: inttwoarray(int, int); int& operator()(int, int); private: int size1; int size2; int* a; ; inttwoarray::inttwoarray( int s1, int s2) { int size = s1 * s2; try { a = new int[size]; catch(bad_alloc) { cerr << Unable to allocate storage for inttwoarray\n ; throw; size1 = s1; size2 = s2; int& inttwoarray::operator() (int i, int j) { if (i < 0 i >= size1) throw string( 1st_OutOfBounds ); if (j < 0 j >= size2) throw string( 2nd_OutOfBounds ); return a[i * size2 + j]; void main() { inttwoarray b(3, 4); int i, j; for (i=0; i<b.get_size1(); i++) for(j=0; j<b.get_size2(); j++) b(i, j) = 2 * i + j; try { cout << b(1, 3) << '\n'; cout << b(4, 2) << '\n'; catch(string s) { cerr << s << '\n'; 5 1st_OutOfBounds 44
45 Overloading the Increment and Decrement Operators The increment ++ and decrement -- operators can also be overloaded Preincrement and predecrement operators (e.g., ++i) are declared without parameters returntype operator++() or returntype operator--() Postincrement and postdecrement operators (e.g., i++) are declared with a single int parameter returntype operator++(int) or returntype operator--(int) The int parameter just serves to distinguish postincremental OPs from preincremental OPs, thus, may NOT be used actually 45
46 Example of Overloaded Increment and Decrement Operators class Clock { public: Clock(int = 12, int = 0, int = 0); Clock tick(); friend ostream& operator<<( ostream&, const Clock&); Clock operator++(); // ++c Clock operator++(int); // c++ private: int hour; int min; int ap; // 0 is AM, 1 is PM ; Clock::Clock(int h,int m,int ap_f) { hour = h; min = m; ap = ap_f; Clock Clock::tick() { ++min; if (min==60) { hour++; min = 0; if (hour==13) hour = 1; if (hour==12 && min==0) ap =!ap; return *this; Clock Clock::operator++() { return tick(); Clock Clock::operator++(int n) { Clock c = *this; tick(); return c; ostream& operator<<(ostream& out, const Clock& c) { out <<setfill( 0 )<<setw(2) <<c.hour<< : <<setw(2)<<c.min; if (c.ap) out << PM ; else out << AM ; return out; int main() { Clock c, d; // default: 12:00 AM c = d++; cout << Clock c: << c << \n ; cout << Clock d: << d << \n ; Clock c: 12:00 AM Clock d: 12:01 AM 46
47 Overloading the Type Conversion Operator Recall that a convert constructor C(paramtype) converts type paramtype to class type C E.g., C(int): int type class type C Reversely, to convert a class type to another type, a type conversion operator can be used E.g., to convert class type C to othertype, declare a method of C such as operator othertype(); Note that the declaration does NOT include a return type, nevertheless, the method MUST return the converted value 47
48 Example of Using a Convert Constructor class C { C(int); ; // convert constructor int main() { int i = 8; C c; c = i; i = c; // == c.operator=(i) // by implicit type conversion // c.operator=(c(i)) // == c = C(i); // how about converting C obj to int? 48
49 Revisiting the Clock Example Amending the previous Clock class by adding a conversion operator to convert the time of a clock object to an integer time (a.k.a. military time ) class Clock { public: operator int(); // no return type declared ; void main() { Clock c(8, 55, 1); int i; i = c; // 08:55 PM 2055 Clock::operator int() { int time = hour; if (time == 12) time = 0; if (ap == 1) time += 12; time *= 100; time += min; return time; // returns converted value // though no return declared cout << c << \n ; cout << i << \n ; 08:55 PM
50 Notice on Using Type Conversion Operators Despite their convenience, type conversion operators should be used with caution Typically, the compiler (not the programmer) invokes a type conversion operator Thus, the normal call to a type conversion operator is hidden from the programmer, who may not have anticipated all of the situation in which the type conversion operator would be invoked char next; while (cin >> next) cout << next; // a type conversion operator handles the // conversion of the cin object to void* // if null (0), false, otherwise true 50
51 Overloading the Memory Management Operators The memory management operators (new, new[], delete, and delete[]) may be overloaded as either methods or top-level functions Useful for environments in which an application needs to take direct control over its own memory management E.g.) Embedded systems: having very limited memory resources E.g.) MS Windows: having memory management scheme that application programs are advised to follow Need NOT include a class object parameter when being overloaded The first parameter in the overloaded new or new[] MUST be of type size_t (the size of the object being created) The first parameter in the overloaded delete or delete[] MUST be of type void* (points to the storage to be freed) 51
52 Overloading the Memory Management Operators (cont.) // overloaded as method in class C void* C::operator new(size_t size) { // overloaded as top-level function void* operator new(size_t size) { // overloaded as method in class C void C::operator delete(void* objptr) { // overloaded as top-level function void operator delete(void* objptr) { 52
53 Example of Allocating Storage with Overloaded new Initial status Frame pool f = new Frame(); After the 1st memory request f 0 Free frame Free frame f = new Frame(); After the maxth memory request f 0 f 1 f max-1 53
54 Example of Allocating Storage with Overloaded new (cont.) const int MaxFrames = 4; const int DataSize = 128; class Frame { public: Frame() { name = NoName ; print(); Frame(const char* n) { name = n; print(); Frame(const string& n) { name = n; print(); Frame(const string&, const void*, unsigned); void print() const; void* operator new(size_t); private: string name; unsigned char data[datasize]; ; unsigned char framepool[maxframes*sizeof(frame)]; Frame* allframes=0; // no Frame yet bool alloc[maxframes]; // if alloc[i] is true ith storage // cell is allocated Frame::Frame(const string& n, const void* d, unsigned bsize) { name = n; memcpy(data, d, bsize); print(); void Frame::print() const { cout << name << created.\n ; 54
55 Example of Allocating Storage with Overloaded new (cont.) void* Frame::operator new(size_t size) { // allocating a new Frame? if (size!= sizeof(frame)) throw string( Not a Frame ): // storage allocated yet? if (allframes == 0) { allframes = reinterpret_cast <Frame*>(framePool); for (int i=0; i<maxframes; i++) alloc[i] = false; // finding a free storage cell for (int i=0; i<maxframes; i++) { if(!alloc[i]) { alloc[i] = true; return allframes + i; throw string( Out of Storage ); return 0; int main() { Frame* a[5]; string names[4] = { f1, f2, f3, f4 ; try { a[0] = new Frame; // the 1st Frame with NoName for(int i = 0; i < 4; i++) a[i+1] = new Frame(names[i]); // allocates Frames: the 1st // frame is already occupied catch(string s) { cerr << s << \n ; exit(exit_failure); return 0; NoName created. f1 created. f2 created. f3 created. Out of storage 55
56 Example of Allocating Storage with Overloaded new (cont.) framepool Initial status alloc[0] alloc[1] alloc[2] alloc[3] unsigned char[4 * sizeof(frame)] After the 1st new Frame() a[0] = allframes+0 allframes[0] name= NoName alloc[0] =True alloc[1] =False alloc[2] =False allframes[1] allframes[2] allframes[3] alloc[3] =False After the 4th new Frame( f3 ) allframes[0] name= NoName alloc[0] =True a[0] a[1] a[2] alloc[1] =True alloc[2] =True allframes[1] name= f1 alloc[3] =True allframes[2] name= f2 a[3] = allframes+3 allframes[3] name= f3 What about deletion? E.g.) delete a[2]; 56
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