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canyon_test.py

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+import numpy as np
+import matplotlib.pyplot as plt
+import random
+import seaborn as sns
+
+def plot_spider_web_and_matrix():
+    # ==========================================
+    # 1. 核心參數 (延用你的設定)
+    # ==========================================
+    NUM_RINGS = 4
+    NUM_SPOKES = 10
+    JITTER = 5.0
+    HIGH_RISK = 10.0  # F 矩陣中的高風險懲罰值
+    
+    # 生成節點
+    nodes = [(50, 50)]
+    radii = np.linspace(12, 45, NUM_RINGS)
+    angles = np.linspace(0, 2*np.pi, NUM_SPOKES, endpoint=False)
+    for r in radii:
+        for t in angles:
+            x = 50 + r * np.cos(t) + np.random.uniform(-JITTER, JITTER)
+            y = 50 + r * np.sin(t) + np.random.uniform(-JITTER, JITTER)
+            nodes.append((x, y))
+    
+    N = len(nodes)
+    
+    # 建立連線清單 (Edges)
+    edges = []
+    for i in range(NUM_SPOKES): edges.append((0, 1 + i)) # 中心連線
+    for ring in range(NUM_RINGS - 1): # 輻射線
+        for spoke in range(NUM_SPOKES):
+            edges.append((1 + ring * NUM_SPOKES + spoke, 1 + (ring + 1) * NUM_SPOKES + spoke))
+    for ring in range(NUM_RINGS): # 同心圓
+        for spoke in range(NUM_SPOKES):
+            u = 1 + ring * NUM_SPOKES + spoke
+            v = 1 + ring * NUM_SPOKES + ((spoke + 1) % NUM_SPOKES)
+            edges.append((u, v))
+
+    # ==========================================
+    # 2. 核心邏輯：建構擾動矩陣 F
+    # ==========================================
+    # 初始化：假設所有路徑都是極度危險的 (F=10)
+    F = np.full((N, N), HIGH_RISK)
+    np.fill_diagonal(F, 0) # 自己到自己沒擾動
+
+    # 只有在「蜘蛛絲」上的路徑，擾動才設為 0
+    for u, v in edges:
+        F[u, v] = 0.0
+        F[v, u] = 0.0
+
+    # ==========================================
+    # 3. 繪圖與對比
+    # ==========================================
+    fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(18, 8))
+
+    # --- 左圖：實體蜘蛛網佈局 ---
+    ax1.set_facecolor('#2A2A2A')
+    for u, v in edges:
+        ax1.plot([nodes[u][0], nodes[v][0]], [nodes[u][1], nodes[v][1]], 
+                 color='#E0E0E0', linewidth=1.5, alpha=0.6)
+    nx, ny = zip(*nodes)
+    ax1.scatter(nx, ny, color='#00FFFF', s=50, zorder=5)
+    ax1.scatter(nodes[0][0], nodes[0][1], color='yellow', s=150, marker='*')
+    ax1.set_title("1. Physical World (Spider Web Topology)", fontsize=14)
+    ax1.axis('off')
+
+    # --- 右圖：擾動矩陣 F 的熱圖 ---
+    # 我們畫出 F 矩陣，顏色越深(0)代表越安全，顏色越淺(10)代表越危險
+    sns.heatmap(F, cmap="YlGnBu", ax=ax2, cbar_kws={'label': 'Disturbance Value (F)'})
+    ax2.set_title(f"2. Algorithm World (Disturbance Matrix F)\nMatrix Size: {N}x{N}", fontsize=14)
+    ax2.set_xlabel("City Index")
+    ax2.set_ylabel("City Index")
+
+    plt.tight_layout()
+    plt.show()
+
+    return F
+
+if __name__ == "__main__":
+    F_matrix = plot_spider_web_and_matrix()