sagetolerance * DBL_EPSILON <= abs(f(x)-expected_result)

would be one general method to test for epsilon equivalency at double
precision.

On Mar 17, 7:06 am, Jason Grout <jason-s...@creativetrax.com> wrote:
> On3/17/11 12:35 AM, Robert Bradshaw wrote:
>
>
>
>
>
> > On Wed, Mar 16, 2011 at 6:15 PM, Jason Grout
> > <jason-s...@creativetrax.com>  wrote:
> >> On 3/16/11 3:04 PM, Peter Jeremy wrote:
>
> >>> Overall, I believe the abs(actual-expected)<tiny_number approach is
> >>> the only practical way to handle doctests.  The expected numeric
> >>> result is still available, just not on a line by itself.
>
> >> Crazy idea: What if we introduce a "# numeric 1e-10" doctest flag (like
> >> #optional, etc.) that does just that---reads in the doctest answer, gets 
> >> the
> >> output of the function, and does an abs(actual-expected)<  epsilon (where
> >> epsilon can be specified in the flag, or it has a default).
>
> >> sage: some_numerical_function() # numeric 1e-6
> >>3.43234454
>
> >> passes if abs(real result-3.43234454)<1e-6
>
> > +1, that's a great idea. I'd be up for # [relative|absolute] tolerance
> > [<epsilon>]
>
> In case people missed it, Robert put his code where his mouth and vote
> was:http://trac.sagemath.org/sage_trac/ticket/10952
>
> So now it needs review.  I've put up a comment or two.  It would be
> great if multiple people looked at it, though.
>
> Jason

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