# Mathematical Functions in Python | Set 1 (Numeric Functions)

• Difficulty Level : Easy
• Last Updated : 27 May, 2017

In python a number of mathematical operations can be performed with ease by importing a module named “math” which defines various functions which makes our tasks easier.

1. ceil() :- This function returns the smallest integral value greater than the number. If number is already integer, same number is returned.

2. floor() :- This function returns the greatest integral value smaller than the number. If number is already integer, same number is returned.

 `# Python code to demonstrate the working of``# ceil() and floor()`` ` `# importing "math" for mathematical operations``import` `math`` ` `a ``=` `2.3`` ` `# returning the ceil of 2.3``print` `(``"The ceil of 2.3 is : "``, end``=``"")``print` `(math.ceil(a))`` ` `# returning the floor of 2.3``print` `(``"The floor of 2.3 is : "``, end``=``"")``print` `(math.floor(a))`

Output:

```The ceil of 2.3 is : 3
The floor of 2.3 is : 2
```

3. fabs() :- This function returns the absolute value of the number.

4. factorial() :- This function returns the factorial of the number. An error message is displayed if number is not integral.

 `# Python code to demonstrate the working of``# fabs() and factorial()`` ` `# importing "math" for mathematical operations``import` `math`` ` `a ``=` `-``10`` ` `b``=` `5`` ` `# returning the absolute value.``print` `(``"The absolute value of -10 is : "``, end``=``"")``print` `(math.fabs(a))`` ` `# returning the factorial of 5``print` `(``"The factorial of 5 is : "``, end``=``"")``print` `(math.factorial(b))`

Output:

```The absolute value of -10 is : 10.0
The factorial of 5 is : 120
```

5. copysign(a, b) :- This function returns the number with the value of ‘a’ but with the sign of ‘b’. The returned value is float type.

6. gcd() :- This function is used to compute the greatest common divisor of 2 numbers mentioned in its arguments. This function works in python 3.5 and above.

 `# Python code to demonstrate the working of``# copysign() and gcd()`` ` `# importing "math" for mathematical operations``import` `math`` ` `a ``=` `-``10``b ``=` `5.5``c ``=` `15``d ``=` `5`` ` `# returning the copysigned value.``print` `(``"The copysigned value of -10 and 5.5 is : "``, end``=``"")``print` `(math.copysign(``5.5``, ``-``10``))`` ` `# returning the gcd of 15 and 5``print` `(``"The gcd of 5 and 15 is : "``, end``=``"")``print` `(math.gcd(``5``,``15``))`

Output:

```The copysigned value of -10 and 5.5 is : -5.5
The gcd of 5 and 15 is : 5
```

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