(Factorial) There are a number of ways to define the factorial of a non-negative integer. The most common descriptions are n! = II k = (k – 1)!k with the realization that we should accept 0! = 1 in either definition. While the factorial function can be extended to (almost all) real mumbers using the so-called gamma function, here we will define the factorial of any number not captured by the above formula to be -1 (in order to represent an error). For this problem do not use the built in factorial function (or any other function which trivializes the problem). my_factorial Function: Input variables: • a single number representing n; if n is a non-negative integer, we wish to calculate its factorial, and otherwise will simply return -1. Output variables: • a scalar representing factorial of n or the return value -1. LA possible sample case is: » n_fact = my_factorial(3) fact - 6 > n_fact = my_factorial(pi) n_fact - -1 » n_fact = my_factorial(-4) m_fact - -1 > n_fact - my_factorial(0) m_fact = 1.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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(Factorial) There are a number of ways to define the factorial of a non-negative integer. The most common descriptions are

\[ n! = \prod_{k=1}^{n} k = (k - 1) ! k \]

with the realization that we should accept \( 0! = 1 \) in either definition. While the factorial function can be extended to (almost all) real numbers using the so-called gamma function, here we will define the factorial of any number not captured by the above formula to be -1 (in order to represent an error).

For this problem do not use the built-in factorial function (or any other function which trivializes the problem).

**my_factorial Function:**

**Input variables:**

- A single number representing \( n \); if \( n \) is a non-negative integer, we wish to calculate its factorial, and otherwise will simply return -1.

**Output variables:**

- A scalar representing factorial of \( n \) or the return value -1.

A possible sample case is:

```
>> n_fact = my_factorial(3)
n_fact = 6

>> n_fact = my_factorial(pi)
n_fact = -1

>> n_fact = my_factorial(-4)
n_fact = -1

>> n_fact = my_factorial(0)
n_fact = 1
```
Transcribed Image Text:(Factorial) There are a number of ways to define the factorial of a non-negative integer. The most common descriptions are \[ n! = \prod_{k=1}^{n} k = (k - 1) ! k \] with the realization that we should accept \( 0! = 1 \) in either definition. While the factorial function can be extended to (almost all) real numbers using the so-called gamma function, here we will define the factorial of any number not captured by the above formula to be -1 (in order to represent an error). For this problem do not use the built-in factorial function (or any other function which trivializes the problem). **my_factorial Function:** **Input variables:** - A single number representing \( n \); if \( n \) is a non-negative integer, we wish to calculate its factorial, and otherwise will simply return -1. **Output variables:** - A scalar representing factorial of \( n \) or the return value -1. A possible sample case is: ``` >> n_fact = my_factorial(3) n_fact = 6 >> n_fact = my_factorial(pi) n_fact = -1 >> n_fact = my_factorial(-4) n_fact = -1 >> n_fact = my_factorial(0) n_fact = 1 ```
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