CS 121

Programming Assignment 1

Assignment Date: Tuesday, February 5
Due Date: Tuesday, February 19
DDD: Tuesday, February 26

Instructions

• Creating a project in Visual C++, adding a source code file to the project, adding code to the source code file, compiling, and running the program.
• Defining variables of any of the basic C++ data types, and setting values in those variables. This includes the char, short, int, long, float, double, and bool data types and the string object.
• Using the cout command to output information to the screen.
• Performing simple mathematical calculations using the basic math operators +, -, *, /, and %.
• Performing mixed type mathematical calculations in which parentheses are required to ensure the correct order of the calculation is preserved.
• Performing more complex mathematical calculations which involve calling special math functions in the math library defined by including the math.h header file.
• Including comments in the source code which provide adequate documentation of what the program is doing.

1. Create a new project in Visual Studio. You may call the program anything you wish. Many students like to keep it simple and just call the project something like Program_1 or ProgAssignment_1.
   
   
2. Add a .CPP source code file to the project. You can name the source file something like Prog1Main.cpp. Place your main() function in this file.
   
   
3. When you have completed writing the code, compile the program. If the program does not compile look carefully at the errors listed by the compiler and fix those errors. Also pay attention to the warnings the compiler gives you.
   
   
4. When your program compiles run it and test it thoroughly to make sure it is working correctly. Do not turn in your program till it is fully tested and you know the output is correct based on the inputs. Just because you get an output does NOT mean the program is working correctly. The instructor will compare your program's output to the known correct output. If it does not match you will get no credit.
   
   
5. When you are sure the program is working correctly e-mail your program file (the .cpp file) to the instructor. Make sure you are sending the .cpp file and not another file. See the Submit Projects link on the web page for details.
   
   

	/*******************************************************************
	*   CS 121 Programming Assignment 1
	*   File: Source Code File Name
	*   Author: Your Name
	*   Desc: A brief description of what the program does.
	*   Date: Date file was submitted to the instructor
	*
	*   I attest that this program is entirely my own work
	*******************************************************************/
			

1. The number of permutations of a set of n items taken r at a time is given by the following formula:
   
             
   
   where n! is the factorial of n (the product of all the numbers up to the number itself multiplied together).
   
   If there are 18 people in your class and you want to divide the class into programming teams of 3 members, you can compute the number of different teams that can be arranged using this formula.
   
   Write a C++ program that determines the number of potential team arrangements. You will need to use double type variables, not int. Be sure to use proper formatting and appropriate comments in your code. The output should be labeled clearly and formatted neatly. Note: Do not use Stirling's formula for this program (see program option 2).
   
   

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2. The factorial of a number n (written n!) is the product of all the numbers up to the number itself multiplied together. For example the factorial of 2 is 1 * 2, the factorial of 4 is 1 * 2 * 3 * 4, etc. Factorials grow very large, very quickly. An approximation to the factorial for larger values is given by Stirling's formula:
   
             
   
   The exp function in the math.h header file gives the value of e raised to a given power.
   
   Write a C++ program that computes the factorial of 15 both directly and with Stirling's formula, and outputs both results, together with their difference.
   
   Be sure to use proper formatting and appropriate comments in your code. The output should be labeled clearly and formatted neatly.
   
   (Hint: When you calculate 15! the long way, i.e. 1*2*...*15 you will need to use double values (1.0 * 2.0 * 3.0, etc.) not integer values (1 * 2 * 3, etc.) to avoid an "integer overflow" warning from the compiler.)
   
   

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3. Write a C++ program that computes the mean and standard deviation of a set of four integer values (use the values 85, 72, 90, and 78). The four values should be stored in double variables which are used in the calculations. The mean is the sum of the four values divided by 4, and the formula for the standard deviation is:
   
             
   
   Where n = 4, x_i refers to each of the four values, and is the mean. Translated this means subtract the mean from each score then square that difference. Add up those four values, divide by (n-1), then take the square root of the result using the sqrt function in math.h.
   
   Be sure to use proper formatting and appropriate comments in your code. The output should be labeled clearly and formatted neatly.
   
   

A word of caution: