How can I divide an interval [start,end] into n points of equal distance?

I have an interval from start to end where start and end are type double. I want to divide the interval into n points, where each two neighboring points are the same distance apart. For example:

// Given closed interval [-3.14,3.14]:
start = -3.14
end = 3.14
n = 3

// The 3 points would be:
-3.14, 0.0, 3.14

// Where the distance between each two neighboring points is 3.14

Or:

// Given left-closed, right-open interval [0,1):
start = 0
end = 1
n = 4

// The 4 points would be:
0.0, 0.25, 0.5, 0.75

// Where the distance between each two neighboring points is .25

I'm having trouble with this, appreciate any advice

Solution

According to the logic you have shown so far the the interval sizes are:

closed: (end - start) / (n - 1)
open one side: (end - start) / n
open both sides: (end - start) / (n + 1)

The initial left point is:

closed on the left: start
open on the left: start + interval.

All other points just add a interval on top