OpenEuphoria

Re: Multivariate Polynomial Factoring Algorithm

• Posted by Bernie Ryan <xotron at b??efrog.com> Jan 10, 2008
• 828 views

Al Getz wrote:
> 
> Hi again,
> 
> 
> None?
> 
> I was going to update my Scientific calculator again and i wanted to
> include multivariate polynomial factoring, thus i need to convert
> any algorithm found into Euphoria code.
> 
> 
> Here's an example from real life where the equation came about from
> a real physical system...
> 
> H(s)=
>  (A*B*b^2*c*d*s^2*v+A*b^2*c*s*v+A*b^2*d*s*v+B*b*c*d*s*v+b*c*v+b*d*v)
> /(A^2*B*a*b^2*c*d*s^3+A^2*a*b^2*c*s^2+2*A*B*a*b*c*d*s^2+A*B*b^2*c*d*s^2
>   +2*A*a*b*c*s+A*b^2*c*s+B*a*c*d*s+B*b*c*d*s+a*c+b*c)
> 
> A close look shows a few vars easily factored out, but knowing where
> the equation came from says that there are only two poles, so that
> means the highest power of s in the denominator is going to be s^2,
> not s^3 as in the above.  This means there is definitely at least
> one smaller polynomial that divides perfectly into both the top and
> bottom of this equation.
> I have other heuristics available too because i know the physical system
> where the equation came from, and this will be true for many other
> equations too, but i want to eliminate that prerequisite and have an
> algorithm that can handle any poly, regardless of where it came from.
> It has to either factor it or else declare that it can not be reduced
> at all.
> 
> Thanks in advance.
> 
> 
> Al Getz wrote:
> > 
> > Hello,
> > 
> > 
> > Has anyone seen something like this around?
> > I would prefer something in English, worded as
> > a pseudo language rather than an actual piece of
> > code in some language.
> > I have one in Lisp, but i dont know that language.
> > 
> > Extra credit: one that is deterministic in nature  (circa 2004)
> > but i'll settle for almost anything for now.
> > 
> > Quick simple example:
> >   factor: a^2+2*a*b+b^2
> > however there will be many more variables than just 'a' and 'b'
> > and many more terms also.
> > 
> > 
> > Thanks for any ideas or leads.
> > 
> > 
> > Al
> > 
> > E boa sorte com sua programacao Euphoria!
> > 
> > 
> > My bumper sticker: "I brake for LED's"
> > 

Al:

Build a DLL with another programming langauge like Fortran and call
it from Euphoria
.  
Bernie

My files in archive:
WMOTOR, XMOTOR, W32ENGIN, MIXEDLIB, EU_ENGIN, WIN32ERU, WIN32API 

Can be downloaded here:
http://www.rapideuphoria.com/cgi-bin/asearch.exu?dos=on&win=on&lnx=on&gen=on&keywords=bernie+ryan