CS 2500 Spring 2011
Lab 1

Getting Started

* Make sure you have a computer account on the CS Department network.
* Check out the Department's e-mail program: https://cs.csustan.edu/WebMail/src/login.php.
* If you want your CS2500-related e-mail forwarded to another system, follow directions here for creating a .forward file.

Programming Exercises

Solve the following exercises using C++:

1. Write a program which reads a positive integer N and calculates the sum of the first N odd integers. For example, if N is 4 then the program should produce the number 16 (1+3+5+7).

2. The German mathematician Leibniz discovered that the constant pi can be computed using the following relationship:

pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + .....

Write a program which computes an approximation of pi by summing the first N terms of the series (where N is a number read from the keyboard). Thus if the input number N is 4, the program should compute  1 - 1/3 + 1/5 - 1/7 (the first four terms of the series).

3. Greek mathematicians defined the concept of perfect numbers. A number N is perfect if N is equal to the sum of all its proper divisors (i.e. all divisors of N, except N itself). For example, 6 is a perfect number since its proper divisors and 1, 2, and 3 and 1+2+3 = 6. On the other hand, 8 is not a perfect number, since its proper divisors are 1, 2, and 4, but 1+2+4 = 7.

Write a function which takes a positive integer and returns whether the number is perfect. Then write a program which will compute all perfect numbers between 1 and 10,000, making use of the function.

4.  Turn in your programs and scripts to the CS Homework Submission System at https://hopper.csustan.edu/cshomework/
Choose instructor:  cs2500mm
Choose course: CS2500
Choose assignment: Lab1

You will be able to upload all six required files:

sum_odd.cpp

script_sum_odd

pi.cpp
script_pi

perfect.cpp
script_perfect

Turn in the source code for each of the three programs. The names of the programs must be the ones given above. For each program run a script showing that you were able to compile it and showing your testing of the program. Instructions on how to create a script.

Testing guidelines:
Test values that are in range and out-of-range.
For choice: test at least one value in each branch.
For loops: test values at the beginning, middle, and end. Then test outside values.
Try to break your program and if you can document and fix.