The factorial of a number n can be estimated using the following formula: n!= V2x 7xn x Where e=2.718282 and n=3.14159265. You are asked to write a C++ program to perform the following tasks: 1. Calls a function named estFact which uses the above equation to estimate the factorial for a given number n. The function receives, as a parameter, the number n (can be any real number). The function returns the estimated factorial of the passed number n if n is a valid number (i.e. n stores a positive integer value), otherwise it returns zero. 2. The function must use a global variable to indicate the validity of the number n. So, if n contains a positive integer value then the global variable should store true, otherwise the global should store false and the function returns zero in this case. 3. The main program should read the numbers (one at a time) from a text file until the end of the file and displays the estimated factorial for all valid numbers or the word 'Incorrect' for invalid numbers. The output should appear as shown below. Sample Output Sample Input A CAWindows\system32\cmd.exe 3 5 n! (est) -3 4 3.0 5.0 -3.0 Incorrect 4.0 6.5 Incorrect 0.0 Incorrect 8.0 2.0 119 6.5 24 8 2 39903 2 Press any ke y to continue .

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter4: Selection Structures
Section4.3: Nested If Statements
Problem 7E
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The factorial of a number n can be estimated using the following formula:
n!= V2x 7xn x
Where e=2.718282 and n=3.14159265.
You are asked to write a C++ program to perform the following tasks:
1. Calls a function named estFact which uses the above equation to estimate the factorial for a given
number n. The function receives, as a parameter, the number n (can be any real number). The function
returns the estimated factorial of the passed number n if n is a valid number (i.e. n stores a positive
integer value), otherwise it returns zero.
2. The function must use a global variable to indicate the validity of the number n. So, if n contains a positive
integer value then the global variable should store true, otherwise the global should store false and
the function returns zero in this case.
3. The main program should read the numbers (one at a time) from a text file until the end of the file and
displays the estimated factorial for all valid numbers or the word 'Incorrect' for invalid numbers. The
output should appear as shown below.
Sample Output
Sample Input
A CAWindows\system32\cmd.exe
3
5
n! (est)
-3
4
3.0
5.0
-3.0 Incorrect
4.0
6.5 Incorrect
0.0 Incorrect
8.0
2.0
119
6.5
24
8
2
39903
2
Press any ke y to continue .
Transcribed Image Text:The factorial of a number n can be estimated using the following formula: n!= V2x 7xn x Where e=2.718282 and n=3.14159265. You are asked to write a C++ program to perform the following tasks: 1. Calls a function named estFact which uses the above equation to estimate the factorial for a given number n. The function receives, as a parameter, the number n (can be any real number). The function returns the estimated factorial of the passed number n if n is a valid number (i.e. n stores a positive integer value), otherwise it returns zero. 2. The function must use a global variable to indicate the validity of the number n. So, if n contains a positive integer value then the global variable should store true, otherwise the global should store false and the function returns zero in this case. 3. The main program should read the numbers (one at a time) from a text file until the end of the file and displays the estimated factorial for all valid numbers or the word 'Incorrect' for invalid numbers. The output should appear as shown below. Sample Output Sample Input A CAWindows\system32\cmd.exe 3 5 n! (est) -3 4 3.0 5.0 -3.0 Incorrect 4.0 6.5 Incorrect 0.0 Incorrect 8.0 2.0 119 6.5 24 8 2 39903 2 Press any ke y to continue .
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