First circle of R hell. 0.1 != 0.3/3 [duplicate]

Question

Possible Duplicate:
Numeric comparison difficulty in R

Hello All,

According to "R Inferno" paper. I'm right now in the first circle of R hell. This is where pagans expect 0.1 == 0.3/3. Paper recommends using all.equal function for such cases, however I need to check ">=" or "<=" conditions. With current example on of them fail:

> .1 >= .3/3
[1] TRUE
> .1 <= .3/3
[1] FALSE

Is there a similar function to all.equal that checks inequalities?

Thank you,

Ilya

Answer 1

The main test of all.equal is whether abs(x-y) < tolerance for some values x and y and some small tolerance. Equivalent inequality tests would check:

x <= y:         x-y < tolerance
x < y:          x-y < -tolerance
x >= y:         x-y > -tolerance
x > y:          x-y > tolerance

Answer 2

See these questions:

• In R, what is the difference between these two?
• Numeric comparison difficulty in R

Generally speaking, you can deal with this by including a tolerance level as per the second link above.

Answer 3

Please see the R FAQ entry Why doesn't R think these numbers are equal and the references therein.