# Fibonacci sequence generator in Go

When completing one of the mathematical challenge of Project Euler, I had to compute some Fibonacci numbers. I found, with the help of François, a very elegant way to get the terms of this famous sequence, based on a StackOverflow answer.

As a reminder, the Fibonacci sequence is defined as:

$$ u*0 = 1 \quad ; \quad u*1 = 1 \quad ; \quad u*n = u*{n-1} + u_{n-2} $$

A very naive and simple way to implement it would be the following:

```
func GetFibonacci(first int, second int, rank int) int {
if rank == 1 {
return first
}
if rank == 2 {
return second
}
return GetFibonacci(first, second, rank - 1) + GetFibonacci(first, second, rank - 2)
}
```

This is just a transcription of previous formulas. But using Go in this case does not bring anything special. So, here is a more elegant and Go-friendly way, including a generator:

```
func FibonacciGenerator(first int, second int) chan int {
c := make(chan int)
go func() {
for i, j := first, second ; ; j, i = i + j, j {
c <- i
}
}()
return c
}
```

As the initial conditions may vary, we parametrize the first and second Fibonacci terms. Then, we create a new channel
containing only integers with the `make`

function. Consider a channel like a FIFO stack: you can insert some values in
it with the `->`

(move towards) operator or consume them with `<-`

(take from). This is the most awesome and damn simple
feature of Go language. With channels, you can prevent your code from becoming a callback hell all Node.js developers
already experienced.

Then, we declare an anonymous go-routine. A Go routine is simply executed in a separate thread. Just think about it as
an asynchronous function. All the Fibonacci logical is located in the `for`

clause, using the possibility to assign
several variables with a single `=`

operator. The following line is the key one: we write `i`

value into the channel.
Yet, writing into a channel blocks current thread until the value is read. In this case, it simply yield the returned
Fibonacci term.

To write a list of 10 first Fibonacci numbers, you can simply use the following code:

```
import "fmt"
// Generator code
func main() {
generator := FibonacciGenerator(1, 1)
for i := 0 ; i < 10 ; i++ {
fmt.Println(<- generator)
}
}
```

So short but elegant code... The more in Go I develop, the more addicted I become! :)