def transform(self, st):
"""
>>> from sympy import *
>>> from symplus.strplus import init_mprinting
>>> init_mprinting()
>>> m = translation([2,3,5])
>>> m.transform((1,2,3))
(3, 5, 8)
>>> s = shearing(2*j,sqrt(3)*i)
>>> m.transform(s)
AffineTransformation([1 0 0; 2*sqrt(3) 1 0; 0 0 1], [0 -4*sqrt(3) 0]')
>>> import symplus.setplus
>>> x, y, z = symbols('x,y,z')
>>> m.transform(AbstractSet((x,y,z), x**2+y**2+z**2<1))
{(x + 2, y + 3, z + 5) | x**2 + y**2 + z**2 < 1}
"""
if is_Tuple(st) and len(st) == 3:
return self(*st)
elif is_Function(st):
return compose(self, st, inverse(self))
elif isinstance(st, Set):
return Image(self, st)
else:
raise ValueError
def base_decompose(action1, action2):
return compose(action1, inverse(action2))
