What is recursion ?

Is the process or concept in programming where the function calls itself, we use recursion cause for certain problems it will give you a better solution, more effective and you are able to reuse code, lest's see the following example to solve pow.

In c languages for example we need to iterate to accomplish several multiplications, so you do it through a while or for loop, so that means we can use recursion, before we start we need to understand that the power of a number represents the amount of times the number itself needs to be multiplies, three power of two is equal to 2 ^ 3 = 2*2*2.

In order to see how this works inside memory, we are going to talk about the stack , in the following imagen we can se how is our program and variables are located at .

So float x and float y , will be located at Static Variables space, that means every time we make a call of the function _pow_recursion() those variables with the new value are going to be there , as well the code .

Les't now see who it works we going to assign the value of 3 to x and the value of 2 to y,

x = 3 y = 2 now, when the function stops to calls itself ? well when the variable y reaches zero.

Now what happen if our float y is negative y = -2 , so we will call the function with the following line : _pow_recursion(x, y + 1) / x; is the same process but this time instead to subtract it, We will de adding it (y + 1), every time we do a new call it creates on the heap new variables with the new value , and once it hits the return on the last line they are delete and used to computing the new value.

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