Hi Brian;

I thought it was worth mentioning because I had had to deal with the underflow 
issue in the mapping software for the Audi/Stanford autonomous. For various 
reasons that system ends up with many very-tiny-but-non-zero quantities in it's 
mapping and heading component and I initially had trouble matching results 
against the Matlab implementation. Since I had to also reduce quantities to -π 
< x <= π and -180 < x <= 180 I combined the reduce and convert using an 
approach similar to this revised implementation.

Mike


On Sep 22 2014, at 14:41 , Brian Burkhalter <brian.burkhal...@oracle.com> wrote:

> Indeed these considerations made me a little nervous about the change. For 
> the edge cases which would have previously overflowed or underflowed this 
> does not seem like a problem, i.e., to obtain a valid result where one would 
> not have done before. For the cases in between however I suppose that there 
> will be some numerical inconsistencies between the two versions.
> 
> Brian
> 
> On Sep 22, 2014, at 2:24 PM, Mike Duigou <mike.dui...@oracle.com> wrote:
> 
>> Looks fine.
>> 
>> I think it is always important note when a change may result in different 
>> results for some inputs. I will reiterate for the record what's mentioned in 
>> the bug:
>> 
>>> However, one caveat is that this may affect the results of some 
>>> calculations.
>>> For example, some range of numbers that used to overflow to infinity by
>>> performing the multiplication by 180, will now not overflow and will return 
>>> a
>>> valid result.
>> 
>> This also applies to very small quantities in toRadians where dividing by 
>> 180 may have previously resulted in a zero.
> 

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