# If you really want your values in the correct range

*Update: Made the statement look more intuitive. Also corrected a rogue closing parenthesis...*

The other day I noticed a subtle bug in one of my Java visualization prototypes. I somehow got `NaN`

s everywhere, where there should absolutely be none of them.

The math I am using is correct, so I had to find the place where the `NaN`

was produced.

I would really like it if the whole application just blows up into my face when it tries to calculate something with `NaN`

instead of a usable value, but anyway, I had to trace the `NaN`

s to its origin and after some debugging I found it.

Turns out `Math.acos`

(which I was using) has the following in its javadoc:

If the argument is NaN or its absolute value is greater than 1, then the result is NaN.

Duh. Better if I had read the javadoc before blindly throwing my values at the function, because, it turns out, I was passing a `1.000000000002`

at some time, for which I got rewarded with `NaN`

.

So, for a quick fix, I decided to ensure that my values are in the correct range of `-1.0`

to `1.0`

.

Instead of writing something horrible like

```
if (val > 1.0)
return 1.0;
if (val < -1.0)
return -1.0;
```

Leo gave me a much simpler and nicer looking solution:

```
return Math.max(-1.0, Math.min(value, 1.0));
```

These kind of floating-point errors are really nasty and I should probably take the time for reading "What Every Computer Scientist Should Know About Floating-Point Arithmetic" (Goldberg, 1991), finally.

I am writing these a-programmers-diary posts, for several reasons (at leats these are the ones to bring me starting this with this post).

The first one is, that I want to use this blog more for some kind of diary while programming. So do not assume that this will always be the best solution I am posting. Normally this is just the one I found working and seemed to me not as a crime against humanity.

Another reason is, that I sometimes think 'Oh, I had this problem before, how do I solve this'. So I can use these posts for some kind of reference.

The third reasons is that maybe someone reads this and finds a better solution or spots any mistakes I am making. If you do so feel free to correct me, I really like to learn. Just contact me via mail or twitter and I will add your suggestions as an update to the post, so it stays with the text of the post and does not get lost like outsourced comments like to do.