Python math library | expm1() method

Python has math library and has many functions regarding to it. One such function is expm1(). This function mathematically computes the value of exp(x) - 1. This method can be used if we need to compute this very value.

Syntax : math.expm1() 
Parameters : x : Number whose exp(x)-1 has to be computed. 
Returns : Returns the computed value of "exp(x)-1"

Time Complexity: O(1)
Auxiliary Space: O(1)

Code #1 : Demonstrate the working of expm1() 

Output :

The expm1 value using positive integer : 53.598150033144236
The expm1 value using negative integer : -0.950212931632136

There would be a question why expm1() method was even created if we could always compute exp() and then subtract 1 from it. The first reason is that value exp() - 1 is used a lot in mathematics and science applications and formulas. The most important reason is that for smaller value of x, of the order less than e-10, expm1() method give a result more accurate than exp() - 1. Code #2 : Comparing expm1() and exp()-1 

Output :

The value with exp()-1 : 1.000000082740371e-10
The value with expm1() : 1.00000000005e-10