How can I get a list of the symbols in a sympy expression?
A very useful attribute is atoms
x, y, z = sympy.symbols('x:z')
expr1 = sympy.exp(x + y) - sympy.sqrt(z)
display(expr1.free_symbols)
display(expr1.atoms(sympy.Symbol))
{ð¥,ð¦,ð§}
{ð¥,ð¦,ð§}
In addition to symbols, atoms
can extract other atoms, e.g.:
display(expr1.atoms(sympy.Function))
display(expr1.atoms(sympy.Number))
display(expr1.atoms(sympy.NumberSymbol))
display(expr1.atoms(sympy.function.AppliedUndef))
display(expr1.atoms(sympy.Mul))
display(expr1.atoms(sympy.Add))
(it's worth checking the output). Regarding the answer by gerrit
n = sympy.Symbol('n')
k2 = sympy.Sum(x, (n, 0, 10))
display(k2.free_symbols)
display(k2.variables)
display(k2.atoms(sympy.Symbol))
{ð¥}
[ð]
{ð,ð¥}
Note that JuniorCompressors answer only lists free variables.
If you have a Sum
, a Product
, an Integral
, or something similar, you may or may not want to additionally know the integration/summation variable using the .variables
attribute:
In [216]: (x, n) = sympy.symbols("x n")
In [217]: f = sympy.Sum(x, (n, 0, 10))
In [218]: f.free_symbols
Out[218]: {x}
In [219]: f.variables
Out[219]: [n]
You can use:
f.free_symbols
which will return a set of all free symbols.
Example:
>>> import sympy
>>> x, y, z = sympy.symbols('x:z')
>>> f = sympy.exp(x + y) - sympy.sqrt(z)
>>> f.free_symbols
set([x, z, y])