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408 lines
18 KiB
408 lines
18 KiB
import math
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import customtkinter as ctk
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from data_structure import Pile_chaine
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class Expression:
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"""manipule les expression sous forme d'arbre"""
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def __init__(self, val, fils_gauche=None, fils_droit=None) -> None:
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self.val = val
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self.fils_gauche = fils_gauche
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self.fils_droit = fils_droit
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def __str__(self) -> str:
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"""renvoie l'expression sous forme infixé"""
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if self.est_feuille():
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return str(self.val)
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return '('+self.fils_gauche.__str__()+str(self.val)+self.fils_droit.__str__()+')'
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def print_tree(self, level=0):
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""" Affiche le noeud joliment"""
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if self.fils_gauche is not None:
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self.fils_gauche.print_tree(level + 1)
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print(' ' * 4 * level + '-> ' + str(self.val))
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if self.fils_droit is not None:
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self.fils_droit.print_tree(level + 1)
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def est_feuille(self) -> bool:
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""" Renvoie true si le noeud est une feuille"""
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if self.fils_droit is None and self.fils_gauche is None:
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return True
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return False
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def evalue(self, x=0) -> float:
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""" Renvoie le résultat de l'expression"""
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try:
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if self.est_feuille():
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if self.val == 'x':
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return x
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return float(self.val)
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elif self.val == '+':
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return self.fils_gauche.evalue(x) + self.fils_droit.evalue(x)
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elif self.val == '*':
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return self.fils_gauche.evalue(x) * self.fils_droit.evalue(x)
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elif self.val == '/':
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return self.fils_gauche.evalue(x) / self.fils_droit.evalue(x)
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elif self.val == '^':
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return self.fils_gauche.evalue(x) ** self.fils_droit.evalue(x)
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elif self.val == '-':
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return self.fils_gauche.evalue(x) - self.fils_droit.evalue(x)
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elif self.val == 'ln':
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return math.log(self.fils_gauche.evalue(x))
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elif self.val == '√':
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return math.sqrt(self.fils_gauche.evalue(x))
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elif self.val == "cos":
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return math.cos(self.fils_gauche.evalue(x))
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elif self.val == "sin":
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return math.sin(self.fils_gauche.evalue(x))
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elif self.val == "tan":
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return math.tan(self.fils_gauche.evalue(x))
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except ZeroDivisionError:
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raise ZeroDivisionError
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def valeurs_de_fonction(self, start, end):
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""" Calcul les valeurs entre start et end"""
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result = []
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for i in range(start, end+1):
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try:
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result.append((i, self.evalue(i)))
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except:
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pass
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return result
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def change_appearance_mode_event(new_appearance_mode: str) -> None:
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"""Change le thème de sombre à Claire"""
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ctk.set_appearance_mode(new_appearance_mode)
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class App(ctk.CTk):
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"""Classe pour l'interface graphique"""
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def __init__(self) -> None:
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super().__init__()
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change_appearance_mode_event('dark')
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self.fonction_screen_height = None
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self.fonction_screen_width = None
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self.grid_columnconfigure(0, weight=0)
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self.grid_columnconfigure((1,2,3,4,5), weight=1)
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self.grid_rowconfigure(0, weight=0)
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self.grid_rowconfigure((1,2,3,4,5), weight=1)
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# touches de la calculette
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self.keys = []
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for i, val in enumerate(["←", "cos", "sin", "tan", "→", "x", "e", "√", "^", "𝜋", 7, 8, 9, "(", ")", 4, 5, 6, "*", "/", 1, 2, 3, "+", "-",
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"clear", 0, ".", "ln", "exe"]): # add numbers button
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if type(val) == int:
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self.keys.append(ctk.CTkButton(self, text=val, command=lambda x=val: self.add_value(x), fg_color=("gray50","gray20"), text_color="gray90", hover_color=("gray40", "gray30")))
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elif val == "clear":
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self.keys.append(ctk.CTkButton(self, text=val, command=self.clear_screen))
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elif val == "←":
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self.keys.append(ctk.CTkButton(self, text=val, command=self.move_cursor_left))
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elif val == "→":
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self.keys.append(ctk.CTkButton(self, text=val, command=self.move_cursor_right))
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else:
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self.keys.append(ctk.CTkButton(self, text=val, command=lambda x=val: self.add_value(x)))
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self.keys[i].grid(row=i//5+1, column=i % 5+1, sticky="NSEW", padx=5, pady=5)
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# Calcul Frame
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self.calcul_frame = ctk.CTkFrame(self, corner_radius=0, fg_color="transparent")
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self.calcul_screen = ctk.CTkLabel(self.calcul_frame, text="hello")
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self.calcul_screen.pack(fill="both", expand=True)
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self.calcul_entry = ctk.CTkEntry(self.calcul_frame)
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self.calcul_entry.pack(fill="both", expand=True)
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# Fonction Frame
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self.fonction_frame = ctk.CTkFrame(self, fg_color="transparent")
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self.fonction_screen = ctk.CTkCanvas(self.fonction_frame)
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self.fonction_screen.grid(sticky="nsew", column=1, row=0)
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self.fonction_entry = ctk.CTkEntry(self.fonction_frame)
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self.fonction_entry.grid(sticky='ew', column=1, row=1)
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# navigation menu
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self.navigation_frame = ctk.CTkFrame(self, corner_radius=0)
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self.navigation_frame.grid_rowconfigure(4, weight=1)
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self.navigation_frame.grid(row=0, rowspan=10, column=0, sticky="nsew")
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self.titre = ctk.CTkLabel(self.navigation_frame, text="Wx Calculator", compound="left"
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, font=ctk.CTkFont(size=15, weight="bold"))
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self.titre.grid(row=0, column=0, padx=20, pady=20)
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self.home_button = ctk.CTkButton(self.navigation_frame, corner_radius=0, height=40, border_spacing=10
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, text="Calcul", fg_color="transparent", text_color=("gray10", "gray90")
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, hover_color=("gray70", "gray30"), anchor="w"
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, command=lambda: self.select_frame_by_name("Calcul"))
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self.home_button.grid(row=1, column=0, sticky="ew")
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self.function_button = ctk.CTkButton(self.navigation_frame, corner_radius=0, height=40, border_spacing=10
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, text="Fonction", fg_color="transparent", text_color=("gray10", "gray90")
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, hover_color=("gray70", "gray30"), anchor="w"
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, command=lambda: self.select_frame_by_name("Fonction"))
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self.function_button.grid(row=2, column=0, sticky="ew")
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self.appearance_mode_menu = ctk.CTkOptionMenu(self.navigation_frame, values=["Light", "Dark", "System"]
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, command=change_appearance_mode_event)
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self.appearance_mode_menu.grid(row=4, column=0, padx=20, pady=20, sticky="s")
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self.mode = 'Calcul'
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# select default frame
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self.select_frame_by_name("Calcul")
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def select_frame_by_name(self, name):
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"""Change de mode : passe de calcul à fonction"""
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# set button color for selected button
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self.home_button.configure(fg_color=("gray75", "gray25") if name == "Calcul" else "transparent")
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self.function_button.configure(fg_color=("gray75", "gray25") if name == "Fonction" else "transparent")
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# show selected frame
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if name == "Calcul":
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self.mode = "Calcul"
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self.calcul_frame.grid(padx=20, pady=20, columnspan=5, column=1, row=0, sticky="nsew")
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self.keys[-1]._command = self.calculate
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else:
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self.calcul_frame.grid_forget()
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if name == "Fonction":
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self.mode = "Fonction"
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self.fonction_frame.grid(columnspan=5, column=1, row=0, padx=20, pady=20, sticky="ns")
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self.fonction_frame.update()
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self.fonction_screen_width = self.fonction_screen.winfo_width()
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self.keys[-1]._command = self.draw_graph
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self.fonction_screen_height = self.fonction_screen.winfo_height()
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else:
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self.fonction_frame.grid_forget()
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def add_value(self, value) -> None:
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"""Ajoute le charactère à la suite de l'expression"""
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parenthesis = False
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if value == "e":
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value += "^"
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if value == "(":
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value += ")"
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parenthesis = True
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elif value in ["ln", "cos", "sin", "tan", "√"]:
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value += "()"
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parenthesis = True
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if self.mode == 'Fonction':
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self.fonction_entry.insert(ctk.INSERT, value)
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else:
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self.calcul_entry.insert(ctk.INSERT, value)
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if parenthesis:
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self.move_cursor_left()
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def clear_screen(self) -> None:
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"""Enlève l'affichage actuel"""
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if self.mode == "Calcul":
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self.calcul_screen.configure(text="")
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self.calcul_entry.delete('0', 'end')
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else:
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self.fonction_screen.delete('all')
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self.fonction_entry.delete(0, 'end')
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def move_cursor_left(self):
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"""Déplace le curseur à gauche"""
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if self.mode == "Calcul":
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pos = self.calcul_entry.index(ctk.INSERT)
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if pos > 0:
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self.calcul_entry.icursor(pos -1)
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else:
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pos = self.fonction_entry.index(ctk.INSERT)
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if pos > 0:
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self.fonction_entry.icursor(pos-1)
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def move_cursor_right(self):
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"""Déplace le curseur à droite"""
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if self.mode == "Calcul":
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pos = self.calcul_entry.index(ctk.INSERT)
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if pos < len(self.calcul_entry.get()):
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self.calcul_entry.icursor(pos + 1)
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else:
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pos = self.fonction_entry.index(ctk.INSERT)
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if pos < len(self.fonction_entry.get()):
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self.fonction_entry.icursor(pos + 1)
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def draw_framing(self, min_x, max_x, min_y, max_y):
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"""Dessine le cadrillage du graphique"""
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ratio = self.fonction_screen_height / self.fonction_screen_width # longueur par largeur du canvas
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# position du max dans l'interval
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abscisse = max_y / (abs(min_y)+abs(max_y))
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ordonnee = max_x / (abs(min_x)+abs(max_x))
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for i in range(20): # dessin des lignes verticales
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if i == int(20*ordonnee):
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self.fonction_screen.create_line(0 + i * self.fonction_screen_width/20, 0
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, 0 + i * self.fonction_screen_width/20, self.fonction_screen_height
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, fill='red', width=4)
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text = self.fonction_screen.create_text(0 + i * self.fonction_screen_width/20, 10, text=max_y)
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rect = self.fonction_screen.create_rectangle(self.fonction_screen.bbox(text), fill="white")
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self.fonction_screen.tag_lower(rect, text)
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text = self.fonction_screen.create_text(0 + i * self.fonction_screen_width/20,
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self.fonction_screen_height - 10, text=min_y)
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rect = self.fonction_screen.create_rectangle(self.fonction_screen.bbox(text), fill="white")
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self.fonction_screen.tag_lower(rect, text)
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else:
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self.fonction_screen.create_line(0 + i * self.fonction_screen_width/20, 0
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, 0 + i * self.fonction_screen_width/20, self.fonction_screen_height
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, fill='red')
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nb_abscisse_lines = int(20*ratio) # nombre de lignes horizontales à tracer
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for i in range(nb_abscisse_lines): # dessin des lignes horizontales
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if i == int(nb_abscisse_lines * abscisse): # tracer de l'axe des abscisses
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self.fonction_screen.create_line(0, 0 + i * self.fonction_screen_width/20
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, self.fonction_screen_width
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, 0 + i * self.fonction_screen_width/20, fill='red'
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, width=4)
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text = self.fonction_screen.create_text(15, 0 + i * self.fonction_screen_width/20
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, text=min_x)
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rect = self.fonction_screen.create_rectangle(self.fonction_screen.bbox(text)
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, fill="white")
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self.fonction_screen.tag_lower(rect, text)
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text = self.fonction_screen.create_text(self.fonction_screen_width - 15
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, 0 + i * self.fonction_screen_width/20
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, text=max_x)
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rect = self.fonction_screen.create_rectangle(self.fonction_screen.bbox(text), fill="white")
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self.fonction_screen.tag_lower(rect, text)
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else:
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self.fonction_screen.create_line(0, 0 + i * self.fonction_screen_width/20
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, self.fonction_screen_width
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, 0 + i * self.fonction_screen_width/20, fill='red')
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def calculate(self) -> None:
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"""Calcule dans la partie graphique"""
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exp = parse_string_to_list(self.calcul_entry.get())
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exp = npi2tree(inf2npi(exp))
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exp.print_tree()
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try:
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result = exp.evalue()
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except ZeroDivisionError:
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result = "ERREUR"
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self.calcul_screen.configure(text=result)
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def draw_graph(self):
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"""Dessine les points du graphique"""
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self.fonction_screen.delete('all')
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fonction_points = npi2tree(inf2npi(parse_string_to_list(self.fonction_entry.get()))).valeurs_de_fonction(-100, 100)
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max_y = max(fonction_points, key=lambda item: item[1])[1]
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min_y = min(fonction_points, key=lambda item: item[1])[1]
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self.draw_framing(-1000, 1000, min_y, max_y)
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for x, y in fonction_points:
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image_x = self.fonction_screen_width / 2 + x * (self.fonction_screen_width/len(fonction_points))
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image_y = self.fonction_screen_height - (y - min_y) * self.fonction_screen_height / (abs(max_y)+abs(min_y))
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self.fonction_screen.create_rectangle(image_x, image_y, image_x, image_y)
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def parse_string_to_list(text: str) -> list:
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""" Transforme le text en liste d'éléments intelligible par le programme """
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text = list(text)
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result = []
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buffer_function = ""
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buffer_number = ""
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number_first = False # Savoir dans quel ordre sont les chiffres et les lettres
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for char in text:
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if char == 'e':
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result.append(math.e)
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elif char == '𝜋':
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result.append(math.pi)
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elif char.isdigit() or char == ".":
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buffer_number += char
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if len(buffer_function) == 0:
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number_first = True
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elif char.isalpha():
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print(char)
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buffer_function += char
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else:
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if number_first:
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print("number", char)
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result.append(float(buffer_number))
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buffer_number = ""
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number_first = False
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if len(buffer_function) != 0:
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result.append('*')
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result.append(buffer_function)
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buffer_function = ""
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elif char == '(':
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print("()")
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result.append('*')
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else:
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if len(buffer_function) != 0:
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result.append(buffer_function)
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buffer_function = ""
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if len(buffer_number) != 0:
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result.append(float(buffer_number))
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buffer_number = ""
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number_first = False
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result.append(char)
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if len(buffer_number) != 0:
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result.append(float(buffer_number))
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if len(buffer_function) != 0:
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result.append('*')
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result.append(buffer_function)
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elif len(buffer_function) != 0:
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result.append(buffer_function)
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print(result)
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return result
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def npi2tree(expr: list) -> Expression:
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""" Renvoie l'arbre formé à partir de l'expression donnée"""
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pile = Pile_chaine()
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for val in expr:
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if not type(val) is float and val != "x":
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# on inverse pour avoir les nombres dans le bon ordre
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nombre2 = pile.depiler()
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if not pile.est_vide():
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pile.empiler(Expression(val, pile.depiler(), nombre2))
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else:
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pile.empiler(Expression(val, nombre2))
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else:
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pile.empiler(Expression(val))
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return pile.sommet()
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def inf2npi(expr: list) -> list:
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"""Transforme une expression infixé en notation polonaise inversée"""
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operator_stack = Pile_chaine()
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operator_priority = {
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'+': 1,
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'-': 1,
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'*': 2,
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'^': 3,
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'/': 2,
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'(': 0,
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')': 0
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}
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output = []
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for val in expr:
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if type(val) is float or val == 'x':
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output.append(val)
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else:
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if operator_stack.est_vide() or ( val == '(' or operator_priority[val] > operator_priority[operator_stack.sommet()]):
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operator_stack.empiler(val)
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else:
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while not operator_stack.est_vide():
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if operator_stack.sommet() == '(':
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operator_stack.depiler()
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else:
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output.append(operator_stack.depiler())
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if val != ')':
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operator_stack.empiler(val)
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while not operator_stack.est_vide():
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output.append(operator_stack.depiler())
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print(output)
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return output
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# [3, '-', 6, '*', 4, '+', 3]
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gui = App()
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gui.mainloop()
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