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main.py
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418 lines (356 loc) · 15.8 KB
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import tkinter as tk
from tkinter import ttk, messagebox, simpledialog, filedialog
import networkx as nx
import matplotlib.pyplot as plt
from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg
class GraphApp:
def __init__(self, root):
self.root = root
self.root.title("Grafteori-visualisering")
self.root.geometry("1200x700")
self.G = nx.Graph()
self.highlight_edges = []
# Positions dictionary for nodes (to be able to drag them)
self.pos = {}
# State for dragging nodes
self._dragging_node = None
# Mode: 'edit' or 'draw'
self.mode = 'edit'
self.setup_gui()
def setup_gui(self):
options = [
"Eulers väg",
"Hamiltoncykel",
"Isomorfa grafer",
"Träd",
"Skog",
"Cykel",
"Uppspännande träd",
"Minimalt uppspännande träd"
]
self.combo = ttk.Combobox(self.root, values=options, state="readonly")
self.combo.set("Välj grafteori-begrepp")
self.combo.pack(pady=10)
self.combo.bind("<<ComboboxSelected>>", self.on_option_selected)
main_frame = tk.Frame(self.root)
main_frame.pack(fill=tk.BOTH, expand=True)
# Left frame for canvas
self.canvas_frame = tk.Frame(main_frame, width=700)
self.canvas_frame.pack(side=tk.LEFT, fill=tk.BOTH, expand=True)
# Right frame for controls + info
right_frame = tk.Frame(main_frame)
right_frame.pack(side=tk.RIGHT, fill=tk.Y)
# Info text
self.info_text = tk.Text(right_frame, width=40, height=25, wrap=tk.WORD)
self.info_text.pack(padx=10, pady=10)
self.info_text.config(state='disabled')
# Controls frame
control_frame = tk.Frame(right_frame)
control_frame.pack(pady=5)
# Node entry
tk.Label(control_frame, text="Nod(er):").grid(row=0, column=0, sticky="e")
self.node_entry = tk.Entry(control_frame, width=15)
self.node_entry.grid(row=0, column=1)
# Edge entry
tk.Label(control_frame, text="Kant (u,v):").grid(row=1, column=0, sticky="e")
self.edge_entry = tk.Entry(control_frame, width=15)
self.edge_entry.grid(row=1, column=1)
# Buttons for nodes and edges
tk.Button(control_frame, text="➕ Lägg till nod", command=self.add_node).grid(row=2, column=0, pady=5)
tk.Button(control_frame, text="➖ Ta bort nod", command=self.remove_node).grid(row=2, column=1, pady=5)
tk.Button(control_frame, text="➕ Lägg till kant", command=self.add_edge).grid(row=3, column=0, pady=5)
tk.Button(control_frame, text="➖ Ta bort kant", command=self.remove_edge).grid(row=3, column=1, pady=5)
# Mode toggle button
self.mode_button = tk.Button(control_frame, text="Byt till ritläge", command=self.toggle_mode)
self.mode_button.grid(row=4, column=0, columnspan=2, pady=10)
# Save and load buttons
tk.Button(control_frame, text="💾 Spara graf", command=self.save_graph).grid(row=5, column=0, pady=5)
tk.Button(control_frame, text="📂 Ladda graf", command=self.load_graph).grid(row=5, column=1, pady=5)
# Matplotlib figure and canvas setup
self.fig, self.ax = plt.subplots(figsize=(6, 4))
self.canvas = FigureCanvasTkAgg(self.fig, master=self.canvas_frame)
self.canvas.get_tk_widget().pack(fill=tk.BOTH, expand=True)
# Connect matplotlib events
self.canvas.mpl_connect('button_press_event', self.on_click)
self.canvas.mpl_connect('motion_notify_event', self.on_motion)
self.canvas.mpl_connect('button_release_event', self.on_release)
# Initialize graph empty
self.draw_graph()
def on_option_selected(self, event):
selected = self.combo.get()
self.G, self.highlight_edges = self.create_graph(selected)
self.pos = nx.spring_layout(self.G, seed=42)
self.draw_graph()
def create_graph(self, option):
G = nx.Graph()
highlight_edges = []
if option == "Eulers väg":
G.add_edges_from([(1, 2), (2, 3), (3, 4), (4, 2), (4, 1)])
odd_deg_nodes = [v for v, d in G.degree() if d % 2 == 1]
if len(odd_deg_nodes) in [0, 2]:
try:
highlight_edges = list(nx.eulerian_path(G))
except:
pass
elif option == "Hamiltoncykel":
G = nx.cycle_graph(5)
highlight_edges = list(G.edges())
elif option == "Isomorfa grafer":
G1 = nx.Graph()
G2 = nx.Graph()
G1.add_edges_from([(1, 2), (2, 3), (3, 1), (3, 4)])
G2.add_edges_from([(5, 6), (6, 7), (7, 5), (7, 8)])
if nx.is_isomorphic(G1, G2):
G = G1
else:
G = G2
elif option == "Träd":
G.add_edges_from([(1, 2), (1, 3), (3, 4), (3, 5)])
elif option == "Skog":
G.add_edges_from([(1, 2), (1, 3), (4, 5)])
elif option == "Cykel":
G = nx.cycle_graph(6)
elif option == "Uppspännande träd":
G = nx.cycle_graph(6)
highlight_edges = list(nx.minimum_spanning_tree(G).edges())
elif option == "Minimalt uppspännande träd":
G = nx.Graph()
G.add_weighted_edges_from([
(1, 2, 3),
(1, 3, 1),
(2, 3, 7),
(2, 4, 2),
(3, 4, 2),
(3, 5, 3),
(4, 5, 1)
])
highlight_edges = list(nx.minimum_spanning_tree(G).edges())
return G, highlight_edges
def draw_graph(self):
self.ax.clear()
if not self.pos or set(self.pos.keys()) != set(self.G.nodes()):
old_pos = self.pos.copy()
if old_pos:
self.pos = nx.spring_layout(self.G, pos=old_pos, fixed=old_pos.keys(), seed=42)
else:
self.pos = nx.spring_layout(self.G, seed=42)
edge_colors = ['red' if (u, v) in self.highlight_edges or (v, u) in self.highlight_edges else 'black'
for u, v in self.G.edges()]
nx.draw(self.G, pos=self.pos, ax=self.ax, with_labels=True, node_color='lightblue',
edge_color=edge_colors, node_size=600, font_size=10)
# Draw edge weights if present
edge_labels = nx.get_edge_attributes(self.G, 'weight')
if edge_labels:
nx.draw_networkx_edge_labels(self.G, pos=self.pos, edge_labels=edge_labels, ax=self.ax)
self.canvas.draw()
self.update_info()
def update_info(self):
info = f"Antal noder: {self.G.number_of_nodes()}\n"
info += f"Antal kanter: {self.G.number_of_edges()}\n\n"
# Grad per nod
info += "Grad per nod:\n"
for node, deg in sorted(self.G.degree(), key=lambda x: x[0]):
info += f" - Nod {node}: grad {deg}\n"
# Antal komponenter
if self.G.number_of_nodes() > 0:
if nx.is_connected(self.G):
info += "\nGrafen är sammanhängande\n"
else:
comps = nx.number_connected_components(self.G)
info += f"\nGrafen är INTE sammanhängande (antal komponenter: {comps})\n"
else:
info += "\nGrafen är tom, ingen sammanhängande information\n"
# Euler och Hamilton
if self.G.number_of_nodes() > 0:
if nx.is_eulerian(self.G):
info += "Grafen är en Euler-graf (alla noder har jämn grad)\n"
elif nx.has_eulerian_path(self.G):
info += "Grafen har en Eulerstig\n"
else:
info += "Grafen har ingen Eulerstig eller Euler-cykel\n"
# Hamiltoncykel - enkelt test (finns inte direkt i networkx)
if self.G.number_of_nodes() >= 3 and nx.cycle_graph(self.G.number_of_nodes()).edges() <= self.G.edges():
info += "Grafen kan innehålla en Hamiltoncykel (enkelt antagande)\n"
else:
info += "Hamiltoncykel okänd eller ej uppfylld\n"
# Träd och skog
if nx.is_forest(self.G):
if nx.is_tree(self.G):
info += "Grafen är ett träd (en sammanhängande skog)\n"
else:
info += "Grafen är en skog (flera sammanhängande träd)\n"
else:
info += "Grafen är inte ett träd eller en skog\n"
# Lista kanter med vikter
info += "\nKanter och vikter:\n"
for u, v, data in self.G.edges(data=True):
weight = data.get('weight', 1)
info += f" - ({u}, {v}): vikt {weight}\n"
self.info_text.config(state='normal')
self.info_text.delete(1.0, tk.END)
self.info_text.insert(tk.END, info)
self.info_text.config(state='disabled')
# Editing functions
def add_node(self):
value = self.node_entry.get()
try:
node = int(value)
if node in self.G:
messagebox.showinfo("Info", f"Nod {node} finns redan.")
return
self.G.add_node(node)
# Assign a random position
self.pos[node] = (0.5, 0.5)
self.draw_graph()
except ValueError:
messagebox.showerror("Fel", "Ange ett heltal för nod.")
def remove_node(self):
value = self.node_entry.get()
try:
node = int(value)
if node not in self.G:
messagebox.showinfo("Info", f"Nod {node} finns inte.")
return
self.G.remove_node(node)
if node in self.pos:
del self.pos[node]
self.draw_graph()
except Exception as e:
messagebox.showerror("Fel", f"Kunde inte ta bort nod: {e}")
def add_edge(self):
value = self.edge_entry.get()
try:
u, v = map(int, value.split(','))
if u not in self.G or v not in self.G:
messagebox.showerror("Fel", "Båda noder måste finnas för att lägga till kant.")
return
if self.G.has_edge(u, v):
messagebox.showinfo("Info", f"Kant ({u},{v}) finns redan.")
return
# Fråga om vikt (valfritt)
weight = simpledialog.askfloat("Kantvikt", "Ange vikt för kanten (eller OK för vikt=1):", minvalue=0.0)
if weight is None:
weight = 1
self.G.add_edge(u, v, weight=weight)
self.draw_graph()
except:
messagebox.showerror("Fel", "Ange kant som: u,v (ex. 1,2)")
def remove_edge(self):
value = self.edge_entry.get()
try:
u, v = map(int, value.split(','))
if not self.G.has_edge(u, v):
messagebox.showinfo("Info", f"Kant ({u},{v}) finns inte.")
return
self.G.remove_edge(u, v)
self.draw_graph()
except:
messagebox.showerror("Fel", "Kanten finns inte eller formaterad felaktigt")
# --- Mode toggle ---
def toggle_mode(self):
if self.mode == 'edit':
self.mode = 'draw'
self.mode_button.config(text="Byt till redigeringsläge")
self.node_entry.config(state='disabled')
self.edge_entry.config(state='disabled')
else:
self.mode = 'edit'
self.mode_button.config(text="Byt till ritläge")
self.node_entry.config(state='normal')
self.edge_entry.config(state='normal')
# --- Matplotlib mouse events ---
def get_node_at_pos(self, event):
"""Returnera nod nära musposition"""
if event.xdata is None or event.ydata is None:
return None
threshold = 0.05
for node, (x, y) in self.pos.items():
if abs(event.xdata - x) < threshold and abs(event.ydata - y) < threshold:
return node
return None
def on_click(self, event):
if event.inaxes != self.ax:
return
if self.mode == 'edit':
node = self.get_node_at_pos(event)
if node is not None:
self._dragging_node = node
elif self.mode == 'draw':
node = self.get_node_at_pos(event)
if node is None:
# Lägg till nod på klickad position
new_node = max(self.G.nodes(), default=0) + 1
self.G.add_node(new_node)
self.pos[new_node] = (event.xdata, event.ydata)
self.draw_graph()
self._draw_edge_start = new_node
else:
# Starta kantdrag från befintlig nod
self._draw_edge_start = node
def on_motion(self, event):
if event.inaxes != self.ax:
return
if self.mode == 'edit':
if self._dragging_node is not None:
# Uppdatera position
self.pos[self._dragging_node] = (event.xdata, event.ydata)
self.draw_graph()
self.update_info() # Uppdatera infobar live vid drag
elif self.mode == 'draw':
# Rita "kanterna" vid dragning (visuell hjälp)
if hasattr(self, '_draw_edge_start') and self._draw_edge_start is not None:
self.ax.clear()
self.draw_graph() # Rita alla noder/kanter
x0, y0 = self.pos[self._draw_edge_start]
x1, y1 = event.xdata, event.ydata
if x1 is not None and y1 is not None:
self.ax.plot([x0, x1], [y0, y1], 'g--')
self.canvas.draw()
def on_release(self, event):
if event.inaxes != self.ax:
return
if self.mode == 'edit':
self._dragging_node = None
elif self.mode == 'draw':
if hasattr(self, '_draw_edge_start') and self._draw_edge_start is not None:
node_end = self.get_node_at_pos(event)
if node_end is not None and node_end != self._draw_edge_start:
# Lägg till kant mellan start och slut
if not self.G.has_edge(self._draw_edge_start, node_end):
# Fråga om vikt (valfritt)
weight = simpledialog.askfloat("Kantvikt", "Ange vikt för kanten (eller OK för vikt=1):", minvalue=0.0)
if weight is None:
weight = 1
self.G.add_edge(self._draw_edge_start, node_end, weight=weight)
self.draw_graph()
self._draw_edge_start = None
# --- Save and load ---
def save_graph(self):
filename = filedialog.asksaveasfilename(defaultextension=".gml",
filetypes=[("GML files", "*.gml"), ("All files", "*.*")])
if filename:
try:
nx.write_gml(self.G, filename)
messagebox.showinfo("Spara", f"Graf sparad till {filename}")
except Exception as e:
messagebox.showerror("Fel vid sparning", str(e))
def load_graph(self):
filename = filedialog.askopenfilename(filetypes=[("GML files", "*.gml"), ("All files", "*.*")])
if filename:
try:
self.G = nx.read_gml(filename)
# GML sparar noder som string, försök konvertera till int om möjligt
try:
mapping = {n: int(n) for n in self.G.nodes()}
self.G = nx.relabel_nodes(self.G, mapping)
except:
pass
self.pos = nx.spring_layout(self.G, seed=42)
self.draw_graph()
messagebox.showinfo("Ladda", f"Graf laddad från {filename}")
except Exception as e:
messagebox.showerror("Fel vid inläsning", str(e))
if __name__ == "__main__":
root = tk.Tk()
app = GraphApp(root)
root.mainloop()