CSCI 6302

Project #6: Fun with functions!

Due date: Start of class Thursday, 9/24/2009

Do the following problems. Some questions ask you to turn in code, others ask you to turn in a written answer. You may condense all answers requiring code into a single program for turn in.

#1: Run the following commands in a program and observe the result. Turn in a written description of what was output, as well as an explanation of why the values output were produced.

int w = 2147483648;

cout << w-1 << endl;

cout << w << endl;

cout << w+1 << endl;

cout << w+2 << endl;

unsigned u = 4294967296;

cout << u-1 << endl;

cout << u << endl;

cout << u+1 << endl;

cout << u+2 << endl;

#2: Write 2 functions "maximum" and "minimum", each which takes 3 input integers. Test your functions by running the following lines of code to get 22 and 15 respectively:

cout << "The largets is: " << maximum(5, 22, 18) << endl;

cout << "The smallest is: " << minimum(15, 18, 16) << endl;

#3: Write a nice function called "random" that computes a random number between two given input numbers. Test your function with the following code to make sure a random number between 5 and 24 is output:

int a = 5;

int b = 24;

cout << "A random number between " << a << " and " << b << " is " << random(a,b) << endl;

#4: Write a function called "capital" that returns a capitalized version of an input string. Test your function with the following code to verify that "ROBBIE" is displayed:

string name = "robbie";

cout << capital(name) << endl;

#5: Write a function that takes an input string and changes the string to all capital letters. Test your function with the following code to verify that "BRENDA" is displayed:

string name2 = "brenda";

capitalize(name2);

cout << name2 << endl;

#6: Write a function 'listPrimes' to list all the primes up to a given input integer. Test your functions with the following code:

listPrimes(15);

which should display:

2

3

5

7

11

13

#7: Write the mysterious function "mystery" into a program and test it with some values. Try to figure out what mystery does, and why it does it. Turn in a paragraph discussing your theory on what mystery does, along with an explanation of why it does what you say. Also, answer the following question: Is mystery a "cool" function or a "stupid" function.

int mystery( int a, int b )

{

if( b == 0 )

{

return 1;

}

else

{

int x = mystery( a, b/2 );

if( b % 2 == 0 )

{

return x*x;

}

else

{

return x*x*a;

}

}

}