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from data_structure import *
import customtkinter as ctk
class Expression:
"""manipule les expression sous forme d'arbre"""
def __init__(self, val, fils_gauche, fils_droit) -> None:
self.val = val
self.fils_gauche = fils_gauche
self.fils_droit = fils_droit
def __str__(self) -> str:
"""renvoie l'expression sous forme infixé"""
if self.est_feuille():
return str(self.val)
return '('+self.fils_gauche.__str__()+str(self.val)+self.fils_droit.__str__()+')'
def est_feuille(self) -> bool:
"""renvoie true si le noeud est une feuille"""
if self.fils_droit is None and self.fils_gauche is None:
return True
return False
def evalue(self, x=0) -> float:
"""renvoie le résultat de l'expression"""
if self.est_feuille():
if self.val == 'x':
return x
return float(self.val)
if self.val == '+':
return self.fils_gauche.evalue(x) + self.fils_droit.evalue(x)
if self.val == '*':
return self.fils_gauche.evalue(x) * self.fils_droit.evalue(x)
if self.val == '/':
return self.fils_gauche.evalue(x) / self.fils_droit.evalue(x)
if self.val == '^':
return self.fils_gauche.evalue(x) ** self.fils_droit.evalue(x)
if self.val == '-':
return self.fils_gauche.evalue(x) - self.fils_droit.evalue(x)
def valeurs_de_fonction(self):
"""calcul les 100 premieres valeurs"""
result = []
for i in range(-100, 100):
result.append((i, self.evalue(i)))
return result
class App(ctk.CTk):
def __init__(self) -> None:
super().__init__()
self.grid_columnconfigure(0, weight=0)
# Calcul Frame
self.calcul_frame = ctk.CTkFrame(self,corner_radius=0, fg_color="transparent")
self.screen = ctk.CTkTextbox(self.calcul_frame)
self.screen.pack(padx=20, pady=20, fill="both", expand=True)
self.numbers = []
for i, val in enumerate(["(", ")", "/", "^", 7,8,9,"*", 4, 5, 6, "-", 1, 2, 3, "+", "clear", 0, '.', "exe"]): # add numbers button
self.numbers.append(ctk.CTkButton(self, text=val))
if val == "clear":
self.numbers[i]._command = self.textbox_clear
elif val == "exe":
self.numbers[i]._command = self.calculate
else:
self.numbers[i]._command = lambda x=val: self.add_value(x)
self.numbers[i].grid(row=1+i//4, column=i%4+1, sticky="NSEW", padx=5, pady=5)
# Fonction Frame
self.fonction_frame = ctk.CTkFrame(self, corner_radius=0, fg_color="transparent")
self.fonction_screen = ctk.CTkCanvas(self.fonction_frame)
self.fonction_screen.pack(padx=20, pady=20, fill="both", expand=True)
# navigation menu
self.navigation_frame = ctk.CTkFrame(self, corner_radius=0)
self.navigation_frame.grid_rowconfigure(4, weight=1)
self.navigation_frame.grid(row=0, rowspan=10, column=0, sticky="nsew")
self.titre = ctk.CTkLabel(self.navigation_frame, text="Wx Calculator",
compound="left", font=ctk.CTkFont(size=15, weight="bold"))
self.titre.grid(row=0, column=0, padx=20, pady=20)
self.home_button = ctk.CTkButton(self.navigation_frame, corner_radius=0, height=40, border_spacing=10, text="Calcul",
fg_color="transparent", text_color=("gray10", "gray90"), hover_color=("gray70", "gray30"),
anchor="w", command=lambda: self.select_frame_by_name("Calcul"))
self.home_button.grid(row=1, column=0, sticky="ew")
self.function_button = ctk.CTkButton(self.navigation_frame, corner_radius=0, height=40, border_spacing=10, text="Fonction",
fg_color="transparent", text_color=("gray10", "gray90"), hover_color=("gray70", "gray30"),
anchor="w", command=lambda: self.select_frame_by_name("Fonction"))
self.function_button.grid(row=2, column=0, sticky="ew")
self.appearance_mode_menu = ctk.CTkOptionMenu(self.navigation_frame, values=["Light", "Dark", "System"],
command=self.change_appearance_mode_event)
self.appearance_mode_menu.grid(row=4, column=0, padx=20, pady=20, sticky="s")
# select default frame
self.select_frame_by_name("Calcul")
def select_frame_by_name(self, name):
# set button color for selected button
self.home_button.configure(fg_color=("gray75", "gray25") if name == "Calcul" else "transparent")
self.function_button.configure(fg_color=("gray75", "gray25") if name == "Fonction" else "transparent")
# show selected frame
if name == "Calcul":
self.calcul_frame.grid(columnspan=4, column=1, row=0, sticky="nsew")
else:
self.calcul_frame.grid_forget()
if name == "Fonction":
self.fonction_frame.grid(columnspan=4, column=1, row=0, sticky="nsew")
else:
self.fonction_frame.grid_forget()
def change_appearance_mode_event(self, new_appearance_mode):
ctk.set_appearance_mode(new_appearance_mode)
def add_value(self, value) -> None:
self.screen.insert('end', value)
def textbox_clear(self):
self.screen.delete("0.0", "end")
def draw_framing(self):
pass
def calculate(self) -> None:
exp = list(self.screen.get("0.0", "end").strip())
exp = inf2npi(exp)
result = npi2tree(exp).evalue()
self.textbox_clear()
self.screen.insert("end", result)
def npi2tree(expr: list) -> Expression:
"""renvoie l'arbre formé a partir de l'expression donnée"""
pile = Pile_chaine()
for val in expr:
if not val.isdigit() and val != "x":
# on inverse pour avoir les nombres dans le bon ordre
nombre2, nombre1 = pile.depiler(), pile.depiler()
pile.empiler(Expression(val, nombre1, nombre2))
else:
pile.empiler(Expression(val, None, None))
return pile.sommet()
def inf2npi(expr: list) -> list:
"""Transforme une expression infixé en notation polonaise inversée"""
operator_stack = Pile_chaine()
operator_priority = {
'+': 1,
'-': 1,
'*': 2,
'^': 2,
'/': 2,
'(': 0,
')': 0
}
output = []
for val in expr:
if val.isdigit() or val == 'x':
output.append(val)
else:
if operator_stack.est_vide() or ( val == '(' or operator_priority[val] > operator_priority[operator_stack.sommet()]):
operator_stack.empiler(val)
else:
while not operator_stack.est_vide():
if operator_stack.sommet() == '(':
operator_stack.depiler()
if operator_stack.est_vide(): # test si il y a un astérix avant la parenthèse
output.append('*')
elif operator_stack.sommet() != '*':
output.append('*')
else:
output.append(operator_stack.depiler())
else:
output.append(operator_stack.depiler())
if val != ')':
operator_stack.empiler(val)
while not operator_stack.est_vide():
output.append(operator_stack.depiler())
return output
# [3, '-', 6, '*', 4, '+', 3]
exp = inf2npi(list('x^2'))
print(npi2tree(exp).evalue(2))
print(npi2tree(exp).valeurs_de_fonction())
gui = App()
gui.mainloop()