I wonder if all this confusion is telling us something, that perhaps we've
overloaded the functionality in a pretty obtuse way?

Perhaps (at least from the public:  perspective)  we should implement a few
functions that are more clear:

contains_point(p); // really, i'm serious
close_to_point(p, tol=default_tolerance);

of course they might use the same private implementation if it makes
sense...




On 2/1/12 1:47 PM, "John Peterson" <jwpeter...@gmail.com> wrote:

> On Wed, Feb 1, 2012 at 12:27 PM, Roy Stogner <royst...@ices.utexas.edu> wrote:
>> 
>> 
>> On Wed, 1 Feb 2012, John Peterson wrote:
>> 
>>> A related question is: do we want contains_point() to return "true" in
>>> cases where the point is definitely outside the element (to within
>>> floating point tolerance), but is "inside" the element (to within
>>> user-specified tolerance)?
>> 
>> 
>> My first inclanation is to say no, but I'm not sure.
> 
> I'd like to say "no" as well.  The reason I ask is that, if I
> understand correctly, the folks doing contact here have been using
> contains_point() as I described above with relatively large (larger
> than TOLERANCE) tolerances to detect when a point is at least "nearby"
> the element.
> 
> For linear elements, the TOLERANCE bounding box checks must have been
> causing contains_point() to return "false" more often than they
> otherwise would have wanted...
> 
> 
>>> If no: then contains_point() probably shouldn't accept any
>>> user-specified tolerance at all.
>> 
>> 
>> This I'm not so sure about.  Think of the user-specified tolerance as
>> just a way for users to *shrink* the false-positive region if they
>> need to, rather than a way to grow it.
> 
> So by "false-positive region," do you mean the size of the bounding
> box used in the first-order element optimization?
> 
> If that's the case, we should
> 
> 1.) actually use the user-specified tolerance in the bounding box
> tests, not TOLERANCE
> 2.) Give the parameter a more descriptive name and document its purpose
> better.
> 3.) Use TOLERANCE/10 and TOLERANCE for the inverse_map() and
> on_reference_element_calls(), respectively (?)


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