OpenEuphoria

Re: New proposal for math.e

• Posted by Colin Taylor <colinetaylor at ?mail.c?m> Aug 04, 2007
• 516 views

Juergen Luethje wrote:
> 
> Colin Taylor wrote:
> 
> <snip>
> >        
> > In the above functions, angle is expressed in radians, increasing in a
> > clockwise
> > direction from east.
> > 
> > Regards,  Colin   (now returning to deep lurk mode)
> 
> I don't know what you mean by "east" in this context. However, the
> normal math convention is: Increasing positive values of an angle
> correspond to _counter_ clockwise rotation.
> 
> But I've seen now that different textbooks use different conventions
> about the range of values that is used for the angle in Polar
> Coordinates. Some books use -PI < a <= PI, while others use
> 0 <= a < 2*PI. Our implementation of the functions will depend on the
> range that we'll allow for the angle.
> 
> Regards,
>    Juergen

When I wrote these functions some years ago I wanted them to be perfectly 
reversable so that data could be transformed in both directions without 
any corruption.  I think I also wanted to adopt the same angle notation 
which was used by another application (don't remember which - possibly 
AutoCAD) so that I could easily import and export data.

I leave it to Juergen or someone else to recommend an angle notation which 
works best with Euphoria, and (if necessary) modify the functions to suit.

Regards,  Colin