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test.py
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#!/usr/bin/env python
# coding: utf-8
# In[1]:
import tkinter as tk
from tkinter import ttk
import numpy as np
import sympy as sp
import matplotlib.pyplot as plt
from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg
class PiecewiseFunctionGUI:
def __init__(self, root):
self.root = root
self.root.title("Piecewise Function Plotter")
# Create a scrollable frame
self.canvas = tk.Canvas(root)
self.scrollable_frame = ttk.Frame(self.canvas)
self.scrollable_frame.bind(
"<Configure>",
lambda e: self.canvas.configure(
scrollregion=self.canvas.bbox("all")
)
)
self.scrollbar = ttk.Scrollbar(root, orient="vertical", command=self.canvas.yview)
self.canvas.configure(yscrollcommand=self.scrollbar.set)
self.scrollbar.pack(side="right", fill="y")
self.canvas.pack(side="left", fill="both", expand=True)
self.canvas.create_window((0, 0), window=self.scrollable_frame, anchor="nw")
# Initialize lists to hold widgets
self.function_entries = []
self.interval_start_entries = []
self.interval_end_entries = []
self.create_widgets()
def create_widgets(self):
ttk.Label(self.scrollable_frame, text="Number of Functions:").grid(column=0, row=0, padx=10, pady=10)
self.num_functions_entry = ttk.Entry(self.scrollable_frame)
self.num_functions_entry.grid(column=1, row=0, padx=10, pady=10)
self.add_functions_button = ttk.Button(self.scrollable_frame, text="Set Number of Functions", command=self.add_function_entries)
self.add_functions_button.grid(column=0, row=1, columnspan=2, padx=10, pady=10)
self.plot_button = ttk.Button(self.scrollable_frame, text="Plot", command=self.plot_function)
self.plot_button.grid(column=0, row=2, columnspan=2, padx=10, pady=10)
self.figure, self.ax = plt.subplots(figsize=(8, 6))
self.canvas_plot = FigureCanvasTkAgg(self.figure, master=self.scrollable_frame)
self.canvas_plot.get_tk_widget().grid(column=0, row=3, columnspan=2, padx=10, pady=10)
def add_function_entries(self):
# Clear existing entries if they exist
for entry in self.function_entries + self.interval_start_entries + self.interval_end_entries:
entry.destroy()
self.function_entries.clear()
self.interval_start_entries.clear()
self.interval_end_entries.clear()
try:
num_functions = int(self.num_functions_entry.get())
except ValueError:
num_functions = 0
for i in range(num_functions):
ttk.Label(self.scrollable_frame, text=f"Function {i+1} (e.g., x, π - x):").grid(column=0, row=4+i*3, padx=10, pady=10)
func_entry = ttk.Entry(self.scrollable_frame)
func_entry.grid(column=1, row=4+i*3, padx=10, pady=10)
self.function_entries.append(func_entry)
ttk.Label(self.scrollable_frame, text=f"Interval {i+1} Start (e.g., -π):").grid(column=0, row=5+i*3, padx=10, pady=10)
interval_start_entry = ttk.Entry(self.scrollable_frame)
interval_start_entry.grid(column=1, row=5+i*3, padx=10, pady=10)
self.interval_start_entries.append(interval_start_entry)
ttk.Label(self.scrollable_frame, text=f"Interval {i+1} End (e.g., 0):").grid(column=0, row=6+i*3, padx=10, pady=10)
interval_end_entry = ttk.Entry(self.scrollable_frame)
interval_end_entry.grid(column=1, row=6+i*3, padx=10, pady=10)
self.interval_end_entries.append(interval_end_entry)
def parse_function(self, expr_str):
x = sp.symbols('x')
expr_str = expr_str.replace("π", "pi")
expr = sp.sympify(expr_str)
func = sp.lambdify(x, expr, modules=['numpy'])
if expr.is_constant():
return lambda x_val: np.full_like(x_val, float(expr))
return func
def parse_interval(self, interval_str):
return float(sp.sympify(interval_str.replace("π", "pi")))
def plot_function(self):
self.ax.clear()
num_functions = len(self.function_entries)
functions = []
intervals = []
colors = plt.cm.get_cmap("tab10", num_functions) # Get a colormap with num_functions distinct colors
for i in range(num_functions):
func_str = self.function_entries[i].get()
interval_start = self.parse_interval(self.interval_start_entries[i].get())
interval_end = self.parse_interval(self.interval_end_entries[i].get())
functions.append((self.parse_function(func_str), interval_start, interval_end))
intervals.append((interval_start, interval_end))
ymin, ymax = float('inf'), float('-inf')
period = intervals[-1][1] - intervals[0][0]
for i, (func, start, end) in enumerate(functions):
x = np.linspace(start, end, 400)
y = func(x)
ymin = min(ymin, np.min(y))
ymax = max(ymax, np.max(y))
color = colors(i) # Assign a unique color to each function
self.ax.plot(x, y, label=f'Function {i+1}: {start} < x < {end}', color=color)
repetitions = 3
for i in range(1, repetitions + 1):
for j, (func, start, end) in enumerate(functions):
x = np.linspace(start, end, 400) + i * period
y = func(x)
color = colors(j) # Reuse the same color for the repeated segments
self.ax.plot(x, y, color=color)
self.ax.set_xlabel('x')
self.ax.set_ylabel('f(x)')
self.ax.set_title('Piecewise Function with Repeating Segments')
self.ax.axhline(0, color='black', linewidth=0.5)
self.ax.axvline(0, color='black', linewidth=0.5)
self.ax.set_ylim([ymin*1.5-2, ymax*1.5+2])
self.ax.grid(color='gray', linestyle='--', linewidth=0.5)
self.ax.legend()
self.canvas_plot.draw()
root = tk.Tk()
app = PiecewiseFunctionGUI(root)
root.mainloop()
# In[ ]: