{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "658e4171",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ライブラリのインポートと初期設定が完了しました。\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "import random\n",
    "from IPython import get_ipython\n",
    "from IPython.display import display, HTML\n",
    "\n",
    "# --- 1. 初期設定 ---\n",
    "N_CITY = 64 #16  # 都市数\n",
    "MAX_COUNT = 10000  # 最大試行回数\n",
    "TEMP = 0.01   # 温度 (アニーリングの温度)\n",
    "\n",
    "print(\"ライブラリのインポートと初期設定が完了しました。\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8c898b65",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "64個の都市の座標を生成し、距離行列を計算しました。\n"
     ]
    }
   ],
   "source": [
    "# --- 2. 都市の座標と距離行列の生成 ---\n",
    "# 0から1の範囲で都市の座標をランダムに生成\n",
    "positions = np.random.rand(N_CITY, 2)\n",
    "\n",
    "# 都市間の距離を行列として計算\n",
    "distance_matrix = np.zeros((N_CITY, N_CITY))\n",
    "for i in range(N_CITY):\n",
    "    for j in range(i + 1, N_CITY):\n",
    "        dist = np.linalg.norm(positions[i] - positions[j])\n",
    "        distance_matrix[i, j] = dist\n",
    "        distance_matrix[j, i] = dist\n",
    "\n",
    "print(f\"{N_CITY}個の都市の座標を生成し、距離行列を計算しました。\")\n",
    "# print(\"都市の座標:\\n\", positions)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b0ede9cc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "経路距離計算関数を定義しました。\n"
     ]
    }
   ],
   "source": [
    "# --- 3. 経路関連の関数 ---\n",
    "def calculate_total_distance(path, dist_matrix):\n",
    "    \"\"\"経路全体の距離を計算する\"\"\"\n",
    "    total_dist = 0\n",
    "    # pathは [0, 1, ..., N-1, 0] のようになっている\n",
    "    for i in range(len(path) - 1):\n",
    "        total_dist += dist_matrix[path[i], path[i+1]]\n",
    "    return total_dist\n",
    "\n",
    "def create_new_path(current_path, selector, n_city):\n",
    "    \"\"\"新しい経路候補を生成する\"\"\"\n",
    "    # 経路の一部をランダムに2点選択 (始点と終点は除く)\n",
    "    i, j = random.sample(range(1, n_city), 2)\n",
    "    \n",
    "    new_path = list(current_path)  # コピーを作成\n",
    "\n",
    "    if selector == 'two_city_swap':\n",
    "        # 2点交換: 2都市の位置を入れ替える\n",
    "        new_path[i], new_path[j] = new_path[j], new_path[i]\n",
    "\n",
    "    elif selector == 'route_reverse':\n",
    "        # 2-opt: 区間 [i, j] を反転\n",
    "        if i > j:\n",
    "            i, j = j, i\n",
    "        new_path[i:j+1] = reversed(new_path[i:j+1])\n",
    "        \n",
    "    return new_path\n",
    "    \n",
    "print(\"経路距離計算関数を定義しました。\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1830e531",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "初期経路の距離: 35.90489\n"
     ]
    }
   ],
   "source": [
    "# --- 4. メインループ (シミュレーテッドアニーリング) ---\n",
    "# 初期経路 (0, 1, 2, ..., N_CITY-1, 0)\n",
    "current_path = list(range(N_CITY)) + [0]\n",
    "current_dist = calculate_total_distance(current_path, distance_matrix)\n",
    "\n",
    "# 記録用\n",
    "dist_history = [current_dist]\n",
    "path_history_for_anim = []\n",
    "\n",
    "# 新しい経路候補の作成方法を選択\n",
    "# 'two_city_swap' / 'route_reverse' / 'route_reverse_2'\n",
    "selector = 'route_reverse'\n",
    "\n",
    "print(f\"初期経路の距離: {current_dist:.5f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6d4b0c3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- 4b. 初期経路のプロット ---\n",
    "\n",
    "# `%matplotlib inline` を指定して、静的なプロットをセル内に表示\n",
    "get_ipython().run_line_magic('matplotlib', 'inline')\n",
    "\n",
    "# 初期経路の座標リストを作成\n",
    "initial_path_coords = np.array([positions[city] for city in current_path])\n",
    "\n",
    "# プロットを作成\n",
    "plt.figure(figsize=(6, 6))\n",
    "plt.plot(initial_path_coords[:, 0], initial_path_coords[:, 1], 'o-')\n",
    "# 開始/終了点を赤丸で強調\n",
    "plt.plot(initial_path_coords[0, 0], initial_path_coords[0, 1], 'ro', markersize=10, label='Start/End')\n",
    "\n",
    "# タイトルとラベル\n",
    "plt.title(f\"Path Distance: {current_dist:.3f}\")\n",
    "plt.xlabel(\"X coordinate\")\n",
    "plt.ylabel(\"Y coordinate\")\n",
    "plt.xticks([])\n",
    "plt.yticks([])\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c731e95c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "計算完了。最終的な最短距離: 7.30239\n"
     ]
    }
   ],
   "source": [
    "selector = 'route_reverse'\n",
    "\n",
    "for count in range(MAX_COUNT):\n",
    "    # 新しい経路候補を作成\n",
    "    new_path = create_new_path(current_path, selector, N_CITY)\n",
    "    \n",
    "    new_dist = calculate_total_distance(new_path, distance_matrix)\n",
    "    \n",
    "    # 経路を更新するかどうかを確率的に決定 (メトロポリス法)\n",
    "    delta_e = new_dist - current_dist\n",
    "    # Mapleの `exp(-dE/Temp)>evalf(rand()/10^12)` と同じ条件\n",
    "    if np.exp(-delta_e / TEMP) > random.random():\n",
    "        current_path = new_path\n",
    "        current_dist = new_dist\n",
    "        \n",
    "        # 記録\n",
    "        dist_history.append(current_dist)\n",
    "        \n",
    "        # アニメーション用に経路が更新されるたびに記録する\n",
    "        path_coords = np.array([positions[city] for city in current_path])\n",
    "        path_history_for_anim.append((path_coords, current_dist, count))\n",
    "\n",
    "print(f\"計算完了。最終的な最短距離: {current_dist:.5f}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "cfe6ccf2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# %pip install ipympl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ed410027",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dd94421f38f84ee298e4dcac8c773ac0",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=720.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- 6. インタラクティブウィジェットとしてアニメーションを表示 ---\n",
    "\n",
    "# ipymplバックエンドを有効にする\n",
    "get_ipython().run_line_magic('matplotlib', 'widget')\n",
    "\n",
    "# 描画領域(Figure)と2つのプロット領域(Axes)を1行2列で作成\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,5))\n",
    "plt.tight_layout(pad=3.0) # プロット間の間隔を調整\n",
    "\n",
    "# 距離履歴のデータを準備\n",
    "# アニメーションフレームに対応するイテレーションと距離を抽出\n",
    "anim_counts = [data[2] for data in path_history_for_anim]\n",
    "anim_dists = [data[1] for data in path_history_for_anim]\n",
    "\n",
    "# 2つ目のプロット（距離の履歴）を初期設定\n",
    "ax2.plot(dist_history, label='Distance History')\n",
    "# 現在の距離を示す赤丸を初期化（最初は非表示）\n",
    "current_dist_marker, = ax2.plot([], [], 'ro', label='Current State')\n",
    "ax2.set_title(\"Distance History\")\n",
    "ax2.set_xlabel(\"Accepted Steps\")\n",
    "ax2.set_ylabel(\"Total Distance\")\n",
    "ax2.legend()\n",
    "ax2.grid(True)\n",
    "\n",
    "# アニメーションの各フレームを更新する関数\n",
    "def update_widget_animation(frame_idx):\n",
    "    path_coords, dist, count = path_history_for_anim[frame_idx]\n",
    "    \n",
    "    # 1つ目のプロット（経路）を更新\n",
    "    ax1.clear()\n",
    "    ax1.plot(path_coords[:, 0], path_coords[:, 1], 'o-')\n",
    "    ax1.plot(path_coords[0, 0], path_coords[0, 1], 'ro', markersize=10)\n",
    "    ax1.set_title(f\"Iteration: {count}, Distance: {dist:.3f}\")\n",
    "    ax1.set_xticks([])\n",
    "    ax1.set_yticks([])\n",
    "    ax1.grid(True)\n",
    "    \n",
    "    # 2つ目のプロットの赤丸を更新\n",
    "    # frame_idxはdist_historyのインデックスと1対1で対応する（初期値を除く）\n",
    "    step_index = frame_idx + 1\n",
    "    current_dist_marker.set_data([step_index], [dist])\n",
    "    \n",
    "    # y軸の範囲を動的に調整\n",
    "    ax2.relim()\n",
    "    ax2.autoscale_view()\n",
    "\n",
    "\n",
    "# FuncAnimationを使ってアニメーションオブジェクトを作成\n",
    "ani_widget = animation.FuncAnimation(fig,\n",
    "                                     update_widget_animation,\n",
    "                                     frames=len(path_history_for_anim),\n",
    "                                     interval=200,\n",
    "                                     blit=False,\n",
    "                                     repeat=False)\n",
    "\n",
    "\n"
   ]
  },
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   "execution_count": null,
   "id": "1350f738",
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   "outputs": [],
   "source": []
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