Anne Dawson: CSCI101A_LAB2_FA04.htm   

 

Last updated: Wednesday 22nd September 2004, 8:24 PT

 

This document is subject to change without notice.

 

Please report any errors or omissions in this document:

adawson@coquitlamcollege.com

 

Special instructions:  For this assignment you may work in teams of 2, or alone.  This lab is due at the end of the lab session.

 

 

CSCI101A

 

Introduction to Computer Science and Programming

Fall 2004

Lab Assignment 2

Specification:

Calculation of hypotenuse, area and circumference of a right angled triangle with proof of Pythagorean theorem.

Step 1

 

Study the following:

 

Pythagorean Theorem

Let's build up squares on the sides of a right triangle. Pythagoras' Theorem then claims that the sum of (the areas of) two small squares equals (the area of) the large one.  In algebraic terms, a2 + b2 = c2 where c is the hypotenuse while a and b are the sides of the triangle.

Figure 1.

 

The theorem is of fundamental importance in the Euclidean Geometry where it serves as a basis for the definition of distance between two points.

 

The hypotenuse of a right triangle is side c (the longest of the three sides).

The circumference of the triangle is a + b + c.

The area of the triangle is (a * b) / 2.

 

Your program must accept values for a + b then calculate the following values of the triangle:

 

1.  the hypotenuse

2.  the circumference

3.  the area

 

In addition:

 

4.  Your program should also show that the sum of the areas of the two small   

      squares (see Figure 1) equals the area of the large square.

 

You must use a function for each of these calculations:

 

1.  the hypotenuse ( the function receives  a + b, calculates and returns c).

2.  the circumference (the function receives a + b + c and returns the sum).

3.  the area  ( the function receives a + b, and returns (a * b) / 2).

4.  the function receives a + b + c and calculates and prints out the sum of the   

    areas of the two small squares (see Figure 1) and the area of the large square.

 

 

Step 2

 

Design an algorithm (the steps to solve the problem). You should have the algorithm approved by your instructor before going on to the next step.

The following web page will help you design your algorithm and pseudocode:

http://www.coquitlamcollege.com/adawson/Pseudocode.htm You may include your algorithm in comments in your code or supply a separate text file.

 

Step 3

 

Development the pseudocode from your algorithm.

The following web page will help you design your algorithm and pseudocode:

http://www.coquitlamcollege.com/adawson/Pseudocode.htm You may include your pseudocode in comments in your code or supply a separate text file.

 

 

Step 4

 

Using your pseudocode as a guide, implement your program in the C++ language. Use either the Borland version 5.02 or Dev-C++ IDE to edit and run your program:

http://www.coquitlamcollege.com/adawson/Borland5.htm

http://www.bloodshed.net/devcpp.html

 

Your program should start with a comment block that contains the following information:

 

//  File:       lab2.cpp

//  Purpose:    Calculations using the Pythagorean theorem

//  Programmer: [your name]  

//  Partner:    [your partner's name]

//  Course:     CSCI101A

//  Date:       Wednesday 22nd September 2004

//  Test data:

 

Please note: any text in a C++ program that starts with the // symbols are known as comments. Comments are ignored when the program runs, but are useful when we read a program, because they supply information about the program.  They are always used at the top of a program to supply information about the purpose of a program, its file name, the programmer etc, as shown above. They are also used in the body of a program to explain parts of the program which may be hard to understand. Example programs in this course will demonstrate the correct use of comments. You are expected to supply the above set of comments (updated appropriately) for all of your lab and homework programming assignments.

 

Step 5

 

Test your program by running supplying your own test data. You should test your program with at least 3 sets of test data. Show your test data and results in comments at the top of your program.

 

Step 6

 

At the end of the class, save your program file (lab2.cpp) and your algorithm and pseudocode files to your folder on the network in:

 

CSCI101A\Week03\Lab02

 

Assignment Presentations :  In the next class, a random selection of lab assignment programs will be presented to the CSCI101A group. 

Program points will be based on the following marking scheme:

 

 

Marking Scheme

Student Name:

Lab code:     CSCI101A  -  Lab 2  -  Fall 2004

Category

Points

Description

Algorithm

10

An informal description of the steps that must be taken to solve the problem.

ref: http://www.coquitlamcollege.com/adawson/Pseudocode.htm

Pseudocode

10

A formal description of the steps that must be taken to solve the problem.

http://www.coquitlamcollege.com/adawson/Pseudocode.htm

Comments

10

The program should be commented as specified in this document, including pre- and post-condition comments for all functions.

Style

10

The source code should use meaningful variable names (identifiers) and is indented (spaced out) correctly.

Design

10

Appropriate data types and control structures (decisions, loops) are used.

Modularity

10

The program has appropriate modularity i.e. functions are used where it makes sense to use them.             

Output

10

Screen prompts and outputs (user interface) should be user-friendly.

Correctness

10

The program compiles with 0 errors and 0 warnings and outputs correct results.

Completeness

10

The program should be complete.

Test

10

Comments in the code explain how the code was tested.