from copy import deepcopy
import math


class Groesse:
    def __init__(self, formelsymbol, einheit, konst, wert=None):
        self.formelsymbol = formelsymbol
        self.einheit = einheit
        self.wert = wert
        self.konst = konst
        self.equals_var = None

    def set(self, wert):
        self.wert = wert

    def set_equals_var(self, var):
        self.equals_var = var


class Formel:
    class Solver:
        def __init__(self, formel):
            self.formel = formel

        def _solve_to_i(self):
            return (a**z) * (b**y) * (c**x) + d * e * f + g

        def _solve_to_a(self):
            return ((b**y) * (c**x) + d * e *f + g * i)**1/z

        def _solve_to_b(self):
            return ((a**z) * (c**x) +d * e * f + g)**1/y

        def _solve_to_c(self):
            return ((a**z) * (b**y) + d * e * f + g * i)**1/x

        def _solve_to_d(self):
            return i - g - (a**z) * (b**y)* (c**x) / e * f

        def _solve_to_e(self):
            return i - g - (a**2) * (b**y) * (c**x) / d * f

        def _solve_to_f(self):
            return (i-g-(a**z)*(b**y)*(c**x)) / (d * e)

        def _solve_to_g(self):# fehlt
            pass

        def _solve_to_z(self): # fehlt
            pass

        def _solve_to_y(self):
            return math.log((i-d*e*f-g)/((a**z) * (c**x)), b)

        def _solve_to_x(self):
            return math.log(i-d*e*f-g)/(a**z)*(b**y, c)

    def __init__(self, name, i, a=Groesse(None, None, True, 0), b=Groesse(None, None, True, 0),
                 c=Groesse(None, None, True, 0), d=Groesse(None, None, True, 0), e=Groesse(None, None, True, 0),
                 f=Groesse(None, None, True, 0), g=Groesse(None, None, True, 0), z=Groesse(None, None, True, 0),
                 y=Groesse(None, None, True, 0), x=Groesse(None, None, True, 0)):
        self.a = a
        self.a.set_equals_var('a')
        self.b = b
        self.b.set_equals_var('b')
        self.c = c
        self.c.set_equals_var('c')
        self.d = d
        self.d.set_equals_var('d')
        self.e = e
        self.e.set_equals_var('e')
        self.f = f
        self.f.set_equals_var('f')
        self.g = g
        self.g.set_equals_var('g')
        self.z = z
        self.z.set_equals_var('z')
        self.y = y
        self.y.set_equals_var('y')
        self.x = x
        self.x.set_equals_var('x')
        self.name = name
        self.i = i
        self.i.set_equals_var('i')
        self.liste = []
        self.solver = self.Solver(self)
        for var in [self.a, self.b, self.c, self.d, self.e, self.f, self.g, self.z, self.y, self.x, self.i]:
            if var.konst is False:
                self.liste.append(var)

    def is_solvable(self, geg, ges):
        temp_liste = deepcopy(self.liste)
        for geg_element in geg:
            for liste_element in temp_liste:
                # serach for element with fitting formelsymbol and then del it
                pass
        if len(temp_liste) == 1 and ges[0] == temp_liste[0]: # has to be changed accordingly
            return [True, temp_liste[0]]
        return [False, None]

    def solve(self, ges):
        pass

    def _solve_to_i(self):
        pass





math.sqrt()