This is a Python tool intended to be used to transform Vectors (and one day Tensors) to different Coordinate Systems.
These coordinate systems can be completely arbitrary, as they just require a coordinate system transformation formula.
from CoordinateTransformations import CoordinateSystem2D
import sympy as sp
from sympy import sin, cos
import numpy as np
x, y = sp.symbols('x y')
a = CoordinateSystem2D(x*cos(y), x*sin(y))
matrix = a.TransformationMatrix()
answer = a.Multiply(matrix, np.array([1, 2]))
print(answer)output:
[-2*sin(2) + cos(2) 2*cos(2) + sin(2)].
In an ideal senario it would calculate the values but this isnt the case at the moment.