Project 3: BitVector & Application Implementing BitVector of undetermined size implementing new concepts of copy constructor and assignment operators as well as destructors to determine the prime numbers up to a maximum range. Educational Objectives. After successfully completing this assignment, the student should be able to accomplish the following: Implement a class from a class definition Implement class BitVector You may use the bitset and iomanip library Implement global operators for a class Implement global operators class BitVector Correctly separate class definition and implementation using files Create executables of class client programs using makefiles and the Make utility Test a class using specs and an existing test platform Create client applications to determine the Prime Numbers up to a maximum range Operational Objectives: Implement the class BitVector Deliverables: bitvector.cpp, bitvector.h, makefile bitvector.h: I have included a draft or start of the bitvector.h which you may use and/or modify. Submit your own copy. Your program must work with the supplied main routine #ifndef BITVECTOR_H #define BITVECTOR_H #include #include #include using namespace std; class BitVector { public: BitVector(); // Default Constructor explicit BitVector (size_t); // construct a BitVector // with specified size BitVector (const BitVector&); // copy constructor ~BitVector (); // Destructor void Set (const size_t index); // make index bit = 1 void Set (); // make all bits = 1 void Unsetmultiple(const size_t index); // Unset all bits up to the // max number that are multiples // of the number passed in; not including // the number passed in. void Unset (const size_t index); // make index bit = 0 void Unset (); // make all bits = 0 void Flip (const size_t index); // flip index bit (change value of bit) void Flip (); // flip all bits bool Test (size_t index) const; // return index bit value true if it is set // false otherwise. void Print (const string x); // Prints index value // of the bits turned on. BitVector& operator = (const BitVector& a); // assignment operator overload size_t Size () const; // return the number of bits which is 32 times // the number of words. private: int size; // Number of words; bitset<32> * bvect; // Bit Vector dynamically }; #endif Sample Main Routine to test if all of your member functions are defined: #include #include "bitvector.h" #include using namespace std; void TheSeive(BitVector & pn); int main() { int largestprime=-0; cout << "Hello, BitVextor World!" << endl; // ****************************************************************** // * Test the Default BitVector * // ****************************************************************** BitVector DefaultVector; BitVector CopyofDefaultVector; BitVector PrimeListTo(100); // Prime numbers to 100 // ****************************************************************** // * Set all the odd bits on and print it out. * // ****************************************************************** for (int x=0; x library if you wish. Test the functionality of all of the methods even if they are not used in determining if a vector was set or not. Write your own driver and be sure to test all of your member functions to see if the work properly. For instance, the Flip() should reverse all the bits. I would print out a before and after. Your constructors should turn all bits initially to off. Test the Flip() method that reverses all the bits by performing the Flip() and print out the bitvector to ensure all were flipped. I would print out a before and after . The default constructor should allocate enough words to store 256 bits. void Set (const size_t index); - Passes in a constant integer zero or larger and turns that particular bit on. If the bit value is out of range then take no action. void Set (); - Sets all bits to ones. You can do this by setting each word to a -1. void Unset (const size_t index); - Unsets all bits to zeros. void Flip (const size_t index); - Passes in a constant integer zero or larger and flips that particular bit. If the bit value is out of range then take no action. void Flip (); - Reverse all of the bits. bool Test (size_t index) const; - Check the bit passed in as a positive integer value. Return a True if the bit is set to one, otherwise return zero. If the value is out of range then return zero. void Print (string S); - Print the status of each bit. You may elect to print only the bits turned on or whether a bit is turned on or off. Passes a string to print as a header. explicit BitVector (size_t); - Creates a new BitVector object of size passed in. BitVector (const BitVector&); - Creates a new BitVector object and copies the contents of the the BitVector object passed in as a parameter. ~BitVector (); - Destroy and deallocate the memory for the BitVector Object. BitVector& operator = (const BitVector& a); - Copy (over write) the contents of one BitVector into another. They must be of the same size. size_t Size () const; - Return the size in the number of bits that the object will hold. void Unsetmultiple (const size_t index); - A value is passed to this function and the function unsets all bit locations that are multiples of that value. This is part of the Sieve algorithm.