变更

simulate_monty_hall.py

@@ -0,0 +1,66 @@
+import random
+
+
+def simulate_monty_hall(switch, num_trials=100000):
+    """
+    模拟三门悖论（蒙提霍尔问题）
+
+    参数:
+    - switch: bool, 是否在主持人打开门后选择换门
+    - num_trials: int, 模拟次数（默认10万次）
+
+    返回:
+    - 获胜次数
+    - 胜率
+    """
+    win_count = 0
+    doors = [1, 2, 3]  # 三扇门
+
+    for _ in range(num_trials):
+        # 随机放置汽车（1 表示汽车，0 表示山羊）
+        car_door = random.choice(doors)
+
+        # 参赛者初始选择
+        player_choice = random.choice(doors)
+
+        # 主持人要打开一扇门：不能是参赛者选的，也不能是有车的
+        remaining_doors = [d for d in doors if d != player_choice and d != car_door]
+        host_opens = random.choice(remaining_doors)
+
+        # 换门逻辑
+        if switch:
+            # 换到剩下的那一扇未被选、未被开的门
+            final_choice = [d for d in doors if d != player_choice and d != host_opens][0]
+        else:
+            # 不换，保持原选择
+            final_choice = player_choice
+
+        # 判断是否获胜
+        if final_choice == car_door:
+            win_count += 1
+
+    win_rate = win_count / num_trials
+    return win_count, win_rate
+
+
+# === 运行模拟 ===
+if __name__ == "__main__":
+    num_trials = 100000
+
+    print(f"模拟 {num_trials} 次三门问题：\n")
+
+    # 情况1：坚持不换门
+    wins_stay, rate_stay = simulate_monty_hall(switch=False, num_trials=num_trials)
+    print(f"坚持原选择（不换门）:")
+    print(f"  获胜次数: {wins_stay}")
+    print(f"  胜率: {rate_stay:.4f} ({rate_stay * 100:.2f}%)\n")
+
+    # 情况2：总是换门
+    wins_switch, rate_switch = simulate_monty_hall(switch=True, num_trials=num_trials)
+    print(f"总是换门:")
+    print(f"  获胜次数: {wins_switch}")
+    print(f"  胜率: {rate_switch:.4f} ({rate_switch * 100:.2f}%)\n")
+
+    print("理论值对比:")
+    print("  不换门胜率: 1/3 ≈ 33.33%")
+    print("  换门胜率: 2/3 ≈ 66.67%")

testGeneratefile.py

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+import os
+import random
+
+# 输出目录
+output_dir = "./output_files"
+os.makedirs(output_dir, exist_ok=True)
+
+# 配置
+file_count = 40
+min_size_mb = 70
+max_size_mb = 80
+chunk_size = 1024 * 1024  # 每次写入 1MB
+
+
+def generate_random_file(file_path, size_bytes):
+    with open(file_path, "wb") as f:
+        written = 0
+        while written < size_bytes:
+            chunk = os.urandom(min(chunk_size, size_bytes - written))
+            f.write(chunk)
+            written += len(chunk)
+
+
+for i in range(1, file_count + 1):
+    file_size_mb = random.randint(min_size_mb, max_size_mb)
+    file_size_bytes = file_size_mb * 1024 * 1024
+    filename = f"file_{i}.bin"
+    filepath = os.path.join(output_dir, filename)
+
+    print(f"Creating {filename} ({file_size_mb} MB)...")
+    generate_random_file(filepath, file_size_bytes)
+
+print("✅ 所有文件生成完毕。")