Hi,
given the following input
In [1]: f=2*x**3+3*x*y+1
we get an expression:
In [2]: type(f)
Out[2]: <class 'sympy.core.add.Add'>
You can convert this to a polynomial:
In [3]: p = Poly(f, x)
In [4]: p
Out[4]: Poly((2, 3*y, 1), ((3,), (1,), (0,)), (x,), 'grlex')
and then:
In [5]: p.degree
Out[5]: 3
In [6]: p.coeff(0)
Out[6]: 1
In [7]: p.coeff(1)
Out[7]: 3*y
In [8]: p.coeff(2)
Out[8]: 0
In [9]: p.coeff(3)
Out[9]: 2
The same way you can work with MV polynomials:
In [10]: q = Poly(f, x, y)
In [11]: q
Out[11]: Poly((2, 3, 1), ((3, 0), (1, 1), (0, 0)), (x, y), 'grlex')
In [12]: q.degree
Out[12]: 3
In [13]: q.coeff(3, 0)
Out[13]: 2
In [14]: q.coeff(2, 1)
Out[14]: 0
For more information refer to 'polys' module docstrings, eg. Poly? in ipython.
Mateusz
2008/3/29, Colin Gillespie <[EMAIL PROTECTED]>:
>
> Dear All,
>
> Are there any inbuilt function to work with degrees of polynomials?
> For example,
>
> x=Symbol('x')
> y=symbol('y')
>
> f=2*x**3+3*x*y+1
>
> So
>
> f.highestDegree(x) would return 3
> f.coeff(x**1) would return 3*y
>
> Many thanks
>
> Colin
> >
>
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