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

        def _solve_to_a(self):
            pass

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

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

        def _solve_to_d(self):
            pass

        def _solve_to_e(self):
            pass

        def _solve_to_f(self):
            pass

        def _solve_to_g(self):# fehlt
            pass

        def _solve_to_z(self): # fehlt
            pass

        def _solve_to_y(self):
            pass

        def _solve_to_x(self):
            pass

    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 = []
        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



math.sqrt()