Anne
Dawson: CSCI101A_LAB2_SU05.htm
First created: Thursday 12th May 2005, 8:08 PT, AHD
Last
updated: Thursday 12th May 2005, 9:11
PT, AHD
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
Summer 2005
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: Thursday 12th May 2005
// 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 -
Summer 2005
|
Category |
Points |
Description |
|
Algorithm |
10 |
An informal description of the
steps that must be taken to solve the problem. |
|
Pseudocode |
10 |
A formal description of the
steps that must be taken to solve the problem. |
|
Comments |
10 |
The program should be commented as specified
in this document, including pre- and post-condition |
|
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 |
|
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. |