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//Programmer:Derek Elder //Assignment:Lab 2 //Section:0112 //Instructor:Hyman //Time:T/TH 7:30 - 11:10 AM #include <iostream> #include <fstream> #include <string> #include <iomanip> using namespace std; class BigInt { friend BigInt operator+(const BigInt& num1, const BigInt& num2); //Purpose:Operator overloaded, + operator will call AddBigInts. //Precondition:None. //Postcondition:The two BigInts have been added together. friend ostream& operator<<(ostream& os, const BigInt& num); //Purpose:Operator overloaded, << operator will call PrintToBigInt. //Precondition:None. //Postcondition:The BigInt is printed. friend bool AddBigInts(const BigInt& num1, const BigInt& num2, BigInt& sum); //Purpose:Add two integers together into a sum. //Precondition:BigInts num1 and num2 are valid. //Postcondition:1.Return true if sum is valid. // 2.Return false if there is overflow. friend void firstIntegerLarger(const BigInt& largest, const BigInt& smallest, BigInt& sum); //Purpose:Modularize AddBigInts function to make it more efficent. //Precondition:BigInts num1 and num2 have been entered and contain good data. //Postcondition:1.Sum has been populated by good data as long as numDigits <= MAX. // 2.If there is overflow (numDigits > MAX) it will be indicated in operator+. public: static const int MAX = 5; BigInt(); //Default Constructor //Purpose:Set numDigits to 0 to indicate an array is not populated. //Precondition:None. //Postcondition:Constructor has set numDigits to 0 indicating the array is not populated. BigInt(const string& goodString); //Constructor //Purpose:If num is intitalized in main with a value, the constructor calls StringToBigInt. //Precondition:None. //Postcondition:BigInt num has been converted from a string into an array. bool ReadBigInt(istream& is = cin); //default stream arg; ReadBigInt() means use "cin". //Purpose:Read a BigInt, deposit into a string and call StringToBigInt. //Precondition:None. //Postcondition:1.Array is populated, data is valid. // 2.BigInt is too large, loops until an Int is entered that is small enough. void PrintBigInt(ostream& os = cout) const; //default stream arg; PrintBigInt() means use "cout". //Purpose:Print a BigInt in the same way it was entered by reversing the way it was stored into the array. //Precondition:BigInt num is valid. //Postcondition:Data is printed on screen matching the way it was entered from the console. private: void StringToBigInt(const string& goodString); //Purpose:Convert from characters to numeric data //Precondition:Assume "goodString" is perfect. //Postcondition:goodString is converted into numeric data and entered into an array. int Digits[MAX]; int numDigits; }; class OverFlowException { public: BigInt m_num1, m_num2; char m_op; OverFlowException(const BigInt& num1,const BigInt& num2, char op) { m_num1 = num1; m_num2 = num2; m_op = op; } }; void main() { BigInt num1, num2;//("12345"); bool moreNumbers = true; char update = ' '; while(moreNumbers) { try { num1.ReadBigInt(); num2.ReadBigInt(); cout<<"The BigInt entered is: "; num1.PrintBigInt(); cout<<"The BigInt entered is: "; num2.PrintBigInt(); cout<<"The sum is: "<<num1 + num2; } catch(OverFlowException ex) { cout<<"The sum has caused OVERFLOW"<<endl; } cout<<"Do you wish to add more numbers? "; cin>>update; cin.ignore(50,'\n'); if(update == 'Y' || update == 'y') { moreNumbers = true; } else { moreNumbers = false; } } cout<<"Program Terminated on request."<<endl; } bool BigInt::ReadBigInt(istream& is) { int len = 0; bool tooBig = false; string inputString = ""; while(!tooBig) //Initialize tooBig, if integer is too big loop until BigInt entered is valid. { cout<<"Enter an integer: "; getline(cin,inputString); len = (int)inputString.length(); //Length of the string entered into len if(len > MAX) { cout<<"The number you entered is too big, try again!"<<endl; tooBig = false; } else { StringToBigInt(inputString); tooBig = true; } } return true; } void BigInt::PrintBigInt(ostream& os) const { int counter = numDigits - 1; for(int i = 0; i < numDigits; i++) { cout<<Digits[counter]; counter--; } cout<<endl; } bool AddBigInts(const BigInt& num1, const BigInt& num2, BigInt& sum) { if(num1.numDigits >= num2.numDigits) { firstIntegerLarger(num1, num2, sum); } else { firstIntegerLarger(num2, num1, sum); } //If Overflow return false, otherwise return true if(sum.numDigits > MAX) { return false; } else { return true; } } void firstIntegerLarger(const BigInt& largest, const BigInt& smallest, BigInt& sum) { int i; int remainder = 0; for(i = 0; i < smallest.numDigits; i++) { sum.Digits[i] = largest.Digits[i] + smallest.Digits[i] + remainder; if(sum.Digits[i] >= 10) { sum.Digits[i] = (sum.Digits[i] - 10); remainder = 1; } else { remainder = 0; } } for(; i < largest.numDigits; i++) { sum.Digits[i] = largest.Digits[i] + remainder; if(sum.Digits[i] >= 10) { sum.Digits[i] = (sum.Digits[i] - 10); remainder = 1; } else { remainder = 0; } } if(i == largest.numDigits && remainder == 1) { sum.Digits[i] = 1; sum.numDigits = largest.numDigits + 1; } else { sum.numDigits = largest.numDigits; } } void BigInt::StringToBigInt(const string& goodString) { int counter = 0; string str = ""; str = goodString; numDigits = (int)str.length(); char ch = ' '; for(int i = numDigits-1; i >= 0; i--) //Reverse the string and position of numbers { ch = str[i]; //Convert from char to numeric value Digits[counter] = ch - '0'; //char c = '2'; counter++; //int n = c - '0'; } } BigInt operator+(const BigInt& num1, const BigInt& num2) { BigInt sum; if(AddBigInts(num1,num2,sum) == false) { OverFlowException ex(num1,num2,'+'); throw ex; } else return sum; } ostream& operator<<(ostream& os, const BigInt& num) { num.PrintBigInt(os); return os; } BigInt::BigInt() :numDigits(0) {} BigInt::BigInt(const string& goodString) { StringToBigInt(goodString); }