[NTG-context] atan2 function

Alan Braslau alan.braslau at icloud.com
Fri Oct 14 14:26:42 CEST 2022


Are you using MP in scaled integer or in doubleprecision mode?

I have not looked into the MP angle operator code, but my suspicion is 
that it is based on some super-clever John Hobby scheme optimized for 
scaled integer calculations.

Hans has integrated the entire math library (and more) into lmtx.

On 13/10/22 13/10/22, 13:51, Thangalin via ntg-context wrote:
> Thank you, Max.
> 
> The angle function doesn't appear to provide the same calculation as
> my atantwo in all cases.
> 
> https://pdfhost.io/v/Oqj7XmibJ_scaled
> 
> The shorter line segment should be directed towards the vertex closest
> to the longer line segment. I tried using both:
> 
>      theta := angle( dx, dy );
>      theta := angle( dy, dx );
> 
> Neither made a difference, in some cases the angle differs from what I'd expect.
> 
> My implementation is based on the first version given here:
> 
> https://en.wikipedia.org/wiki/Atan2#Definition_and_computation
> 
> I have something that works, so this is more of a curiosity as to
> there being a difference between my implementation of atantwo and the
> angle function.
> 
> Here's an example with many lines and the angle function:
> https://pdfhost.io/v/1T4jgBnxh_scaled
> 
> On Wed, Oct 12, 2022 at 11:42 PM Max Chernoff <mseven at telus.net> wrote:
>>
>> Hi,
>>
>>> How is atan2 called? I rolled my own as follows:
>>
>>> Is atan with two parameters supposed to behave like atan2?
>>
>> At mp-math.mpxl:167 there is:
>>
>>         vardef atan   primary x = angle(1,x)       enddef ;
>>
>> The MetaPost manual says:
>>
>>     The angle operator takes a pair and computes the two-argument
>>     arctangent; i.e., angle is the inverse of the dir operator
>>
>> So it looks like "angle" is the function that you want for "atan2".
>>
>> Thanks,
>> -- Max
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