연구실(bwlee42)/251111 (편집) (1)

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==합성함수 그래프 구현 코드 보완==
[[연구실(bwlee42)/251109]]에서 제작한 합성함수 그래프 구현 코드를 보완한 것이다.
{{{#!folding '''fc_9.py(누르면 펼쳐짐)'''
{{{#!syntax python
import tkinter as tk
from tkinter import messagebox
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation

def start_animation():
    f_expr = f_entry.get()
    g_expr = g_entry.get()

if not f_expr or not g_expr:
        messagebox.showerror("Error", "f(x)와 g(x)를 모두 입력하세요!")
        return

try:
        f = lambda x: eval(f_expr, {"x": x, "np": np, "__builtins__": {}})
        g = lambda x: eval(g_expr, {"x": x, "np": np, "__builtins__": {}})
    except Exception as e:
        messagebox.showerror("Error", f"함수 입력 오류: {e}")
        return

x_vals = np.linspace(-3, 3, 200)

# f, g(f(x)) 전체 계산
    f_all, gf_all = [], []
    for x in x_vals:
        y_f = f(x)
        if not isinstance(y_f, (list, tuple, np.ndarray)):
            y_f = [y_f]
        f_all.extend(y_f)
        gf_all.extend([g(y) for y in y_f])
    f_all = np.array(f_all)
    gf_all = np.array(gf_all)

# ---------------------------
    # 애니메이션 패널
    # ---------------------------
    fig, axes = plt.subplots(2,2,figsize=(12,8))
    ax_f, ax_g, ax_h, ax_combo = axes.flatten()

# f 패널
    ax_f.plot(x_vals, [np.mean(f(x)) if isinstance(f(x),(list,tuple,np.ndarray)) else f(x) for x in x_vals], color='lightblue')
    ax_f.set_title('f(x)')
    ax_f.set_xlabel('x')
    ax_f.set_ylabel('f(x)=t')
    dot_f, = ax_f.plot([],[], 'ro')
    trail_f, = ax_f.plot([],[], 'b', lw=2)
    ax_f.set_xlim(min(x_vals), max(x_vals))
    ax_f.set_ylim(min(f_all)-0.5, max(f_all)+0.5)

# g 패널
    g_all_sorted = np.sort(f_all)
    g_vals = [g(y) for y in g_all_sorted]
    ax_g.plot(g_all_sorted, g_vals, color='lightgreen')
    ax_g.set_title('g(t)')
    ax_g.set_xlabel('t')
    ax_g.set_ylabel('g(t)')
    dot_g, = ax_g.plot([],[], 'ro')
    trail_g_scatter = ax_g.scatter([],[], c=[], cmap='Greens', s=50)
    ax_g.set_xlim(min(f_all)-0.5, max(f_all)+0.5)
    ax_g.set_ylim(min(gf_all)-0.5, max(gf_all)+0.5)

# h 패널
    ax_h.set_title('h(x) = g(f(x))')
    ax_h.set_xlabel('x')
    ax_h.set_ylabel('h(x)')
    dot_h, = ax_h.plot([],[], 'ro')
    trail_h, = ax_h.plot([],[], 'r', lw=2)
    ax_h.set_xlim(min(x_vals), max(x_vals))
    ax_h.set_ylim(min(gf_all)-0.5, max(gf_all)+0.5)

# 추가 패널 (combo)
    ax_combo.set_title('Combined View')
    ax_combo.set_xlabel('x')
    ax_combo.set_ylabel('y')
    combo_dot_f, = ax_combo.plot([],[], 'ro', label='f(x)')
    combo_trail_f, = ax_combo.plot([],[], 'b', lw=2)
    combo_dot_g, = ax_combo.plot([],[], 'go', label='g(f(x))')
    combo_trail_g, = ax_combo.plot([],[], 'g', lw=2)
    combo_dot_h, = ax_combo.plot([],[], 'mo', label='h(x)')
    combo_trail_h, = ax_combo.plot([],[], 'm', lw=2)
    ax_combo.legend()
    ax_combo.set_xlim(min(x_vals), max(x_vals))
    ax_combo.set_ylim(min(min(f_all), min(gf_all))-0.5, max(max(f_all), max(gf_all))+0.5)

# ---------------------------
    # 히스토리
    # ---------------------------
    x_hist_f, y_hist_f = [], []
    x_hist_h, y_hist_h = [], []
    trail_g_count = {}

combo_xf, combo_yf = [], []
    combo_xh, combo_yh = [], []
    combo_xg, combo_yg = [], []

# ---------------------------
    # 애니메이션 업데이트
    # ---------------------------
    def update(frame):
        x = x_vals[frame]
        y_f_raw = f(x)
        if not isinstance(y_f_raw,(list,tuple,np.ndarray)):
            y_f_vals = [y_f_raw]
        else:
            y_f_vals = y_f_raw
        y_h_vals = [g(y) for y in y_f_vals]

# f
        dot_f.set_data([x]*len(y_f_vals), y_f_vals)
        x_hist_f.extend([x]*len(y_f_vals))
        y_hist_f.extend(y_f_vals)
        trail_f.set_data(x_hist_f, y_hist_f)

# g
        dot_g.set_data(y_f_vals, y_h_vals)
        for xf,yf in zip(y_f_vals,y_h_vals):
            key = (xf,yf)
            trail_g_count[key] = trail_g_count.get(key,0)+1

xs,ys,cs=[],[],[]
        for (xf,yf),count in trail_g_count.items():
            xs.append(xf)
            ys.append(yf)
            cs.append(min(count,10))
        if xs:
            trail_g_scatter.set_offsets(np.c_[xs,ys])
            trail_g_scatter.set_array(np.array(cs))

# h
        dot_h.set_data([x]*len(y_h_vals), y_h_vals)
        x_hist_h.extend([x]*len(y_h_vals))
        y_hist_h.extend(y_h_vals)
        trail_h.set_data(x_hist_h, y_hist_h)

# combo panel
        combo_xf.extend([x]*len(y_f_vals))
        combo_yf.extend(y_f_vals)
        combo_trail_f.set_data(combo_xf, combo_yf)
        combo_dot_f.set_data([x]*len(y_f_vals), y_f_vals)

combo_xh.extend([x]*len(y_h_vals))
        combo_yh.extend(y_h_vals)
        combo_trail_h.set_data(combo_xh, combo_yh)
        combo_dot_h.set_data([x]*len(y_h_vals), y_h_vals)

combo_xg.extend(y_f_vals)
        combo_yg.extend(y_h_vals)
        combo_trail_g.set_data(combo_xg, combo_yg)
        combo_dot_g.set_data(y_f_vals, y_h_vals)

return (dot_f, trail_f, dot_g, trail_g_scatter, dot_h, trail_h,
                combo_dot_f, combo_trail_f, combo_dot_g, combo_trail_g,
                combo_dot_h, combo_trail_h)

ani = FuncAnimation(fig, update, frames=len(x_vals), interval=50, blit=False, repeat=False)
    plt.show()

# ---------------------------
# Tkinter GUI
# ---------------------------
root = tk.Tk()
root.title("g(f(x))")

tk.Label(root, text="f(x) =").grid(row=0,column=0)
f_entry = tk.Entry(root, width=30)
f_entry.grid(row=0,column=1)
f_entry.insert(0,"np.sin(x)")

tk.Label(root, text="g(x) =").grid(row=1,column=0)
g_entry = tk.Entry(root, width=30)
g_entry.grid(row=1,column=1)
g_entry.insert(0,"np.exp(x)")

start_btn = tk.Button(root, text="Start Animation", command=start_animation)
start_btn.grid(row=2,column=0,columnspan=2,pady=10)

root.mainloop()
}}}
}}}
최종적으로 모든 함수들이 구현되는 창을 하나 더 만들었다.
{{{#!folding '''f(x)=sin(x), g(x)=exp(x)인 경우 실행(누르면 펼쳐짐)'''
[[파일:fc-2.gif]]
}}}

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