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Recursion lab.cpp
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143 lines (124 loc) · 2.38 KB
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//Carson Vance
#include "stdafx.h"
#include <iostream>
using namespace std;
int pow(int, int, int);
int factorial(int, int);
int fibonacci(int, int);
int collatz(int, int);
int _tmain(int argc, _TCHAR* argv[])
{
int choice, input, exp, x;
char qFlag;
do
{
cout << "Chose choose one of the following programs" << endl;
cout << "1.Powers" << endl;
cout << "2.Factorials" << endl;
cout << "3.Fibonacci" << endl;
cout << "4.Collatz" << endl;
cout << "5.Quit" << endl;
cin >> choice;
do
{
switch (choice)
{
case 1:
cout << "Base #: ";
cin >> input;
cout << "Exponent #: ";
cin >> exp;
x = pow(input, exp, 0);
cout << x << endl;
cout << "quit(y/n)";
cin >> qFlag;
break;
case 2:
cout << "Base #: ";
cin >> input;
x = factorial(input, 0);
cout << x << endl;
cout << "quit(y/n)";
cin >> qFlag;
break;
case 3:
cout << "Base #: ";
cin >> input;
x = fibonacci(input, 0);
cout << "Answer is: " << x << endl;
cout << "quit(y/n)";
cin >> qFlag;
break;
case 4:
cout << "Base #: ";
cin >> input;
x = collatz(input, 0);
cout << "Answer is :" << x << endl;
cout << "quit(y/n)";
cin >> qFlag;
break;
case 5:
qFlag = 'y';
break;
}
} while (qFlag != 'y');
system("cls");
} while (choice != 5);
return 0;
}
int pow(int num, int exp, int level)
{
level++;
for (int i = 1; i < level * 2; i++)
{
cout << " ";
}
cout << "At depth " << level << endl;
if (exp == 1)
return num;
//cout << level << endl;
return num *= pow(num, exp - 1, level);
}
int factorial(int input, int level)
{
level++;
for (int i = 1; i < level * 2; i++)
{
cout << " ";
}
cout << "At depth " << level << endl;
if (input == 1)
return input;
return input * factorial(input - 1,level);
}
int fibonacci(int num, int level)
{
level++;
for (int i = 1; i < level * 2; i++)
{
cout << " ";
}
cout << "At depth " << level << endl;
if (num == 1)
return 0;
if (num == 2)
return 1;
cout << num << endl;
return fibonacci(num - 1,level) + fibonacci(num - 2,level);
}
int collatz(int num, int level)
{
level++;
for (int i = 1; i < level * 2; i++)
{
cout << " ";
}
cout << "At depth " << level << endl;
cout << num << endl;
if (num == 1)
return 1;
if (num % 2 == 0)
return collatz(num / 2, level);
if (num % 2 != 0)
return collatz(3 * num + 1, level);
}