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# I can't find the mistake

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## I can't find the mistake

(OP)
Hey guys, i were writing a code to calculate the digits of pi using the leibniz formula; the code is shown below:

#### CODE --> Fortran

program picalc
implicit none
real :: pi,g
integer :: i,l
pi=0
print *, "Tell me the precision you want"
read(*,*) l
do i=0,l
g = (1/(4*i+1))-(1/(4*i+3))
pi=pi+g
end do

print *, 'The calculated value of pi is', 4*pi
end program picalc 
The thing is, the code can be compiled, but the 'g' expression inside the loop gives 1 in the first iteration, when it should be 0,6666666..., and zero in every other iteration (what clearly is wrong), not giving the value of pi. I want to know what i'm doing wrong and how can i fix it. Thanks guys!
Obs.:forgive my english, i dunno if i wrote something wrong, i really didn't check it in a translator.

### RE: I can't find the mistake

As you already know, when programming computers, there is a difference on how integers are handle and how reals are handled...that is why you declare some variable one way and others a different way.

When dealing with integers, also known as integral numbers, the division is called "integral division". With integers, this operation yields only the whole number of the result and throws away fractions. Examples:

1/4 = 0
2/4 = 0
5/4 = 1
7/4 = 1
9/4 = 2

When dealing with reals, the result is what most (non-programming) people expect:

1.0/4.0 = 0.25
2.0/4.0 = 0.5

So, in your program above, just add decimal points to the numbers in the equation for g.

### RE: I can't find the mistake

(OP)
Thank you so much salgerman, i really appreciate the help and the patience :D

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