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Rational: :Rational(int n=O, int d=l) : num(n), den(d) -t if (d == 0) n = 0; else if (d < 0) { n *= -1; d *= -1; } reduce(); > The modification ensuring that den > 0 could instead be done in the reduce ( ) function, since that utility should be called by every member function that allows den to be changed. However, none of our other member functions allows the sign of den to change, so by requiring it to be positive when the object is constructed we don t need to check the condition again. 9.14 Implement a Vector class, with a default constructor, a copy constructor, a destructor, and
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Here is the class declaration: #include <iostream.h>
class Vector { friend int operator==(const Vector&, const Vector&); friend ostream& operator<c(ostream&, const Vector&); friend istream& operator>>(istream&, Vector&); public: Vector(int =l, double =O.O); // default constructor Vector(const Vector&); // copy constructor -Vector(); // destructor const Vector& operator=(const Vector&); // assignment operator double& operator[] (int) const; // subscript operator private: int size; double* data; > ; Here is the implementation of the overloaded equality operator: int operator==(const Vector& v, const Vector& w)
if (v.size != w.size) return 0; for (int i = 0; i < v.size; i++) if (v.data[i] != w.data[i]) return 0; return 1;
OVERLOADING
OPERATORS
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It is a nonmember function which returns 1 or 0 according to whether the two vectors v and w are equal. If their sizes are not equal, then it returns 0 immediately. Otherwise it checks the corresponding elements of the two vectors, one at a time. If there is any mismatch, then again it returns 0 immediately. Only if the entire loop finishes without finding any mismatches can we conclude that the two vectors are equal and return 1. Here is the implementation of the overloaded stream extraction operator:
ostream& operatorcc(ostream& ostr, const Vector& v) -t ostr CC '(I; for (int i = 0; i < v.size-1; i++) { ostr cc v[i] CC ', "; if ((i+1)%8 == 0) tout CC "\n "; 1 return ostr CC v[i] CC ")\n"; 1
Thisprintsthevectorlikethis: (1.11111, 2.22222, 3.33333, 4.44444, 5.55556). The conditional inside the loop allows the output to wrap around several lines neatly if the vector has more than 8 elements. The output is sent to OS tr which is just a local name for the output stream that is passed to the function. That would be cou t if the function is called like this: cou t CC v ; . In the last line of the function, the expression OS tr CC v[i] CC ")\n" makes two calls to the (standard) stream extraction operator. Those two calls return OS t r as the value of this expression, and so that object OS tr is then returned by this function. Here is the overloaded insertion operator:
istream& operator>>(istream& istr, Vector& v) 1 for (int i = 0; i c v.size; i++) { tout CC i CC I': '; istr >> v[i]; 1 return istr;
This implementation prompts the user for each element of the vector v. It could also be implemented without user prompts, simply reading the elements one at a time. Notice that the elements are read from the input stream i s tr, which is the first parameter passed in to the function. When the function is called like this: c in > > v ; the standard input stream tin will be passed to the parameter is tr, so the vector elements are actually read from c in. The argument i s t r is simply a local name for the actual input stream which probably will be c in. Notice that this argument is also returned, allowing a cascade of calls like this: c in > > u > > v > > w ; . Here is the implementation of the default constructor:
Vector: :Vector(int sz=l, double t=O.O) -i data = new double[size]; for (int i = 0; i c size; i++) data[i] = t;
size(sz)
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