Thank you.
How to override behaviour, so that above expression, 
i.e.(-1)**(2/3).is_real outputs True?

On Friday, November 6, 2015 at 9:51:39 PM UTC+2, Aaron Meurer wrote:
>
> You want to override eval. Take a look at 
> http://docs.sympy.org/latest/guide.html#functions for an example. 
>
> Aaron Meurer 
>
> On Fri, Nov 6, 2015 at 1:42 PM, Paul Royik <[email protected] 
> <javascript:>> wrote: 
> > I decided to use "cleaner" solution: create a custom Pow subclass that 
> > evaluates. What method should I override? 
> > 
> > On Wednesday, November 4, 2015 at 9:25:17 PM UTC+2, Aaron Meurer wrote: 
> >> 
> >> You can generally do this sort of thing using replace(). 
> >> Unfortunately, the pattern matcher doesn't recognize rational numbers 
> >> as a/b, so  you have to do a more manual check. This should work: 
> >> 
> >> e.replace(lambda i: i.is_Pow and i.base == x and i.exp.is_Rational, 
> >> lambda i: real_root(-1, 
> >> i.exp.as_numer_denom()[1])**i.exp.as_numer_denom()[0]) 
> >> 
> >> (replace -1 with whatever value you want to replace). A "cleaner" 
> >> solution would be to create a custom Pow subclass that evaluates like 
> >> you want, and replace instances of Pow with your class before doing a 
> >> substitution. 
> >> 
> >> Aaron Meurer 
> >> 
> >> On Wed, Nov 4, 2015 at 1:19 PM, Paul Royik <[email protected]> 
> wrote: 
> >> > So, there is no way to do it using subs and/or some manipulations? 
> >> > 
> >> > real_root(-1, 3) is of no help, because I can have arbitrary 
> expression. 
> >> > 
> >> > On Wednesday, November 4, 2015 at 6:29:29 PM UTC+2, Aaron Meurer 
> wrote: 
> >> >> 
> >> >> You need to use real_root, like 
> >> >> 
> >> >> In [3]: real_root(-1, 3) 
> >> >> Out[3]: -1 
> >> >> 
> >> >> In [4]: real_root(-1, 3)**2 
> >> >> Out[4]: 1 
> >> >> 
> >> >> SymPy, like most math libraries, uses complex roots (i.e., principal 
> >> >> roots) because they have nicer mathematical properties. 
> >> >> 
> >> >> Aaron Meurer 
> >> >> 
> >> >> On Wed, Nov 4, 2015 at 3:30 AM, Paul Royik <[email protected]> 
> wrote: 
> >> >> > I have the following expresssion: 
> >> >> > 
> >> >> > f=x**(Rational(2,3)) 
> >> >> > 
> >> >> > How can I get 1, when substituting (-1) instead of complex number? 
> >> >> > For now, I got complex number when run f.subs(x,-1).evalf() 
> >> >> > 
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