to_poly_solve() bug?



Thanks for the bug report.

In the future, please set display2d:false before creating a bug transcript
-- it makes it much much easier to read and work with.

Thanks!

           -s

On Wed, Nov 28, 2012 at 2:18 AM, Dmitry Shkirmanov <piminusmeson at bk.ru>wrote:

> ya at shvabra:~$ maxima
> Maxima 5.28.0 http://maxima.sourceforge.net
> using Lisp SBCL 1.0.40.0.debian
> Distributed under the GNU Public License. See the file COPYING.
> Dedicated to the memory of William Schelter.
> The function bug_report() provides bug reporting information.
> (%i1) load("to_poly_solve")$
>
> Loading maxima-grobner $Revision: 1.6 $ $Date: 2009-06-02 07:49:49 $
> STYLE-WARNING: redefining SIMP-ISREAL-P in DEFUN
> (%i2) expr:2*E_M*m[a]*p[a]^2*E[a]***costheta*sqrt(m[1]^2*p[a]^2***
> costheta^2-m[1]^2*E[a]^2+E_M^**2*m[a]^2)+(m[1]^2*p[a]^3*E[a]^**
> 2+E_M^2*m[a]^2*p[a]^3)***costheta^2-m[1]^2*p[a]*E[a]^4+**
> E_M^2*m[a]^2*p[a]*E[a]^2$
>
> (%i3) to_poly_solve(expr, costheta);
>                                        E                E
>                                         a                a
> (%o3)             %union([costheta = - --], [costheta = --])
>                                        p                p
>                                         a                a
> (%i4) assume(m[a]>0, E_M>0);
> (%o4)                          [m>  0, E_M>  0]
>                                  a
> (%i5) to_poly_solve(expr, costheta);
>                                                 E
>                                                  a
> (%o5)                      %union([costheta = - --])
>                                                 p
>                                                  a
> (%i6)
>
> It looks like that to_poly_solve() gives wrong solution E[a]/p[a] in
> (%o3). Is it really bug or some kind of feature?
>
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