# Re: [ferret_users] accuracy of axis in ferret

```Hi,
```
many thanks for this advise. It helps a lot - not only here. Since I have also the number of grid points ion my input file I prefer the solution using npoints.
```
Greetings,
Martin

Ryo Furue wrote:

```
```Hi Ferreter,

| Axis coordinates in Ferret are stored and used internally as double
| precision values, but any variables -including numbers used in
| expressions as you're defining axes- are single precision. So long
| axes in and of themselves are not a problem, but defining them
| accurately can be.

particular problem involves the issue of the precision of back-quote
evaluation:

yes? let del = 0.00833333333333333
yes? define axis/x=-60:50:`del`/edges xax
!-> define axis/x=-60:50:0.0083333/edges xax
yes? say `x[gx=xax],return=iend`
!-> MESSAGE/CONTINUE 13201
13201
yes? define axis/x=-60:50:`del,p=7`/edges xax
!-> define axis/x=-60:50:0.008333334/edges xax
Replacing definition of axis XAX
yes? say `x[gx=xax],return=iend`
!-> MESSAGE/CONTINUE 13200
13200

In short, when you evaluate an expression using a pair of backqoutes,
you lose a bit of precision unless you specify a ",p=".

In this particular case, ",p=" gives an okay result.
But, this should probably be regarded as fortuitous.
In general, the "/npoints" solution would be better
because it's robust.  (Notice, for example,
`del,p=7` = 0.008333334, whereas "let del = 0.00833333333333333".)

In passing, it would be nice to be able to specify a default precision
for backquote evaluations.  Five digits for single precision is losing
precision in most cases.

Regards,
Ryo

```
```

```