From 3b0759cb80269e20b2725c11281314a0a1e98b68 Mon Sep 17 00:00:00 2001 From: koushik Date: Mon, 18 May 2020 13:15:27 +0530 Subject: [PATCH] new pitch map --- Dribbles by player and season.ipynb | 168 ++++++++-------------------- 1 file changed, 45 insertions(+), 123 deletions(-) diff --git a/Dribbles by player and season.ipynb b/Dribbles by player and season.ipynb index 7ec8867..8506c80 100644 --- a/Dribbles by player and season.ipynb +++ b/Dribbles by player and season.ipynb @@ -7,7 +7,7 @@ "outputs": [], "source": [ "#change this cell to change season and player name\n", - "season = '2005/2006'\n", + "season = '2009/2010'\n", "ssn = '0506'\n", "length = int(20)" ] @@ -28,19 +28,19 @@ "source": [ "import os\n", "import json\n", - "from pandas.io.json import json_normalize\n", "import codecs\n", "import pandas as pd\n", "import codecs\n", + "import StatsbombPitch as sb\n", "main_df = pd.DataFrame(data=None)\n", - "path_match = \"\"\"C:\\\\Users\\\\koushik.r\\\\Documents\\\\open-data-master\\\\\\\\data\\\\events\\\\\"\"\" #location for play by play events\n", - "for root, dirs, files in os.walk(r'C:\\Users\\koushik.r\\Documents\\open-data-master\\data\\matches'):\n", + "path_match = \"/home/kirugulige/Documents/Football-Analytics/open-data-master/data/events/\" #location for play by play events\n", + "for root, dirs, files in os.walk('/home/kirugulige/Documents/Football-Analytics/open-data-master/data/matches'):\n", " for file in files:\n", " with open(os.path.join(root, file), \"r\") as auto:\n", - " with codecs.open(root + str('\\\\') + file,encoding='utf-8') as data_file:\n", + " with codecs.open(root + str('/') + file,encoding='utf-8') as data_file:\n", " data = json.load(data_file)\n", " df = pd.DataFrame(data=None)\n", - " df = json_normalize(data, sep = \"_\")\n", + " df = pd.json_normalize(data, sep = \"_\")\n", " #for x in df.competition_country_name:\n", " # if x == 'Spain':\n", " # print(df.match_id)\n", @@ -51,7 +51,7 @@ " with codecs.open(path_match + match_no + str(r'.json'),encoding=\"utf8\") as event_file: #open the respective file\n", " df_match = json.load(event_file)\n", " df_match2 = pd.DataFrame(data=None)\n", - " df_match2 = json_normalize(df_match,sep=\"_\") \n", + " df_match2 = pd.json_normalize(df_match,sep=\"_\") \n", " \n", " main_df = main_df.append(df_match2,ignore_index=True,sort=False) \n", "print('Done')" @@ -63,6 +63,7 @@ "metadata": {}, "outputs": [], "source": [ + "#change player_id to get different player 5503 = Messi\n", "Player = main_df.query('player_id == 5503 & type_id ==43 & play_pattern_id ==1 & duration >= 1.50')" ] }, @@ -87,7 +88,7 @@ "distance= []\n", "for i in range(len(Player)):\n", " distance.append(sqrt((Player.iloc[i]['carry_end_location'][0] - Player.iloc[i]['location'][0])**2 + ((Player.iloc[i]['carry_end_location'][1] - Player.iloc[i]['location'][1])**2)))\n", - " #using distance formula above (sqrt((x2-x1)^2 + (y2-y1)^2))\n" + " #using distance formula above (sqrt((x2-x1)^2 + (y2-y1)^2))" ] }, { @@ -132,34 +133,34 @@ " \n", " \n", " \n", - " 2791\n", - " [81.9, 77.4]\n", - " [85.6, 66.6]\n", - " 11.416217\n", + " 109\n", + " [64.4, 78.2]\n", + " [64.4, 73.7]\n", + " 4.500000\n", " \n", " \n", - " 3160\n", - " [78.7, 7.3]\n", - " [115.6, 22.8]\n", - " 40.023243\n", + " 800\n", + " [53.3, 25.5]\n", + " [54.4, 27.9]\n", + " 2.640076\n", " \n", " \n", - " 3765\n", - " [45.5, 4.5]\n", - " [48.2, 6.4]\n", - " 3.301515\n", + " 1000\n", + " [75.5, 58.8]\n", + " [71.0, 69.7]\n", + " 11.792370\n", " \n", " \n", - " 4811\n", - " [43.1, 40.0]\n", - " [50.3, 28.4]\n", - " 13.652839\n", + " 1015\n", + " [94.6, 65.1]\n", + " [89.9, 58.0]\n", + " 8.514693\n", " \n", " \n", - " 5012\n", - " [77.0, 65.6]\n", - " [97.8, 53.3]\n", - " 24.164644\n", + " 1417\n", + " [67.0, 37.0]\n", + " [85.8, 21.6]\n", + " 24.302263\n", " \n", " \n", "\n", @@ -167,11 +168,11 @@ ], "text/plain": [ " location carry_end_location dribble_distance\n", - "2791 [81.9, 77.4] [85.6, 66.6] 11.416217\n", - "3160 [78.7, 7.3] [115.6, 22.8] 40.023243\n", - "3765 [45.5, 4.5] [48.2, 6.4] 3.301515\n", - "4811 [43.1, 40.0] [50.3, 28.4] 13.652839\n", - "5012 [77.0, 65.6] [97.8, 53.3] 24.164644" + "109 [64.4, 78.2] [64.4, 73.7] 4.500000\n", + "800 [53.3, 25.5] [54.4, 27.9] 2.640076\n", + "1000 [75.5, 58.8] [71.0, 69.7] 11.792370\n", + "1015 [94.6, 65.1] [89.9, 58.0] 8.514693\n", + "1417 [67.0, 37.0] [85.8, 21.6] 24.302263" ] }, "execution_count": 7, @@ -187,114 +188,35 @@ "cell_type": "code", "execution_count": 8, "metadata": {}, - "outputs": [], - "source": [ - "def draw_pitch(ax):\n", - " # focus on only half of the pitch\n", - " #Pitch Outline & Centre Line\n", - " Pitch = Rectangle([0,0], width = 120, height = 80, fill = False)\n", - " #Left, Right Penalty Area and midline\n", - " LeftPenalty = Rectangle([0,22.3], width = 14.6, height = 35.3, fill = False)\n", - " RightPenalty = Rectangle([105.4,22.3], width = 14.6, height = 35.3, fill = False)\n", - " midline = ConnectionPatch([60,0], [60,80], \"data\", \"data\")\n", - "\n", - " #Left, Right 6-yard Box\n", - " LeftSixYard = Rectangle([0,32], width = 4.9, height = 16, fill = False)\n", - " RightSixYard = Rectangle([115.1,32], width = 4.9, height = 16, fill = False)\n", - "\n", - "\n", - " #Prepare Circles\n", - " centreCircle = plt.Circle((60,40),8.1,color=\"white\", fill = False)\n", - " centreSpot = plt.Circle((60,40),0.71,color=\"white\")\n", - " #Penalty spots and Arcs around penalty boxes\n", - " leftPenSpot = plt.Circle((9.7,40),0.71,color=\"white\")\n", - " rightPenSpot = plt.Circle((110.3,40),0.71,color=\"white\")\n", - " leftArc = Arc((9.7,40),height=16.2,width=16.2,angle=0,theta1=310,theta2=50,color=\"white\")\n", - " rightArc = Arc((110.3,40),height=16.2,width=16.2,angle=0,theta1=130,theta2=230,color=\"white\")\n", - " \n", - " element = [Pitch, LeftPenalty, RightPenalty, midline, LeftSixYard, RightSixYard, centreCircle, \n", - " centreSpot, rightPenSpot, leftPenSpot, leftArc, rightArc]\n", - " for i in element:\n", - " ax.add_patch(i)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, "outputs": [ { "data": { + "image/png": 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\n", "text/plain": [ - "'plt.rcParams.update({\\n \"lines.color\": \"white\",\\n \"patch.edgecolor\": \"white\",\\n \"text.color\": \"black\",\\n \"axes.facecolor\": \"white\",\\n \"axes.edgecolor\": \"lightgray\",\\n \"axes.labelcolor\": \"white\",\\n \"xtick.color\": \"white\",\\n \"ytick.color\": \"white\",\\n \"grid.color\": \"lightgray\",\\n \"figure.facecolor\": \"black\",\\n \"figure.edgecolor\": \"black\",\\n \"savefig.facecolor\": \"black\",\\n \"savefig.edgecolor\": \"black\"})'" + "
" ] }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "\n", - "'''plt.rcParams.update({\n", - " \"lines.color\": \"white\",\n", - " \"patch.edgecolor\": \"white\",\n", - " \"text.color\": \"black\",\n", - " \"axes.facecolor\": \"white\",\n", - " \"axes.edgecolor\": \"lightgray\",\n", - " \"axes.labelcolor\": \"white\",\n", - " \"xtick.color\": \"white\",\n", - " \"ytick.color\": \"white\",\n", - " \"grid.color\": \"lightgray\",\n", - " \"figure.facecolor\": \"black\",\n", - " \"figure.edgecolor\": \"black\",\n", - " \"savefig.facecolor\": \"black\",\n", - " \"savefig.edgecolor\": \"black\"})'''" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] + "metadata": { + "needs_background": "light" }, - "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", - "from matplotlib.patches import Arc, Rectangle, ConnectionPatch\n", - "from matplotlib.offsetbox import OffsetImage\n", - "plt.style.use('dark_background')\n", - "fig=plt.figure() #set up the figures\n", - "fig.set_size_inches(16, 9)\n", - "ax=fig.add_subplot(1,1,1)\n", - "draw_pitch(ax) #overlay our different objects on the pitch\n", - "plt.ylim(-2, 82)\n", - "plt.xlim(-2, 122)\n", - "plt.axis('off')\n", + "sb.sb_pitch(\"#195905\",\"#faf0e6\",\"horizontal\",\"full\")\n", + "plt.gca().invert_yaxis()\n", "y_cary_end = 0\n", "y_loc = 0\n", "for i in range(len(Player)):\n", - " # # y - y' = -2(y' +c) reflection \n", - " #mirror image of a point https://math.stackexchange.com/questions/1013230/how-to-find-coordinates-of-reflected-point\n", " y_cary_end = -2*(Player.iloc[i]['carry_end_location'][1] - 40) + Player.iloc[i]['carry_end_location'][1] \n", " y_loc = -2*(Player.iloc[i]['location'][1] - 40) + Player.iloc[i]['location'][1] \n", " if Player.iloc[i]['carry_end_location'][0] >= 90 and Player.iloc[i]['dribble_distance'] >= length:\n", - " ax.annotate(\"\", xy = (Player.iloc[i]['carry_end_location'][0],y_cary_end), xycoords = 'data',\n", - " xytext = (Player.iloc[i]['location'][0],y_loc ), textcoords = 'data',\n", + " plt.annotate(\"\", xy = (Player.iloc[i]['carry_end_location'][0],Player.iloc[i]['carry_end_location'][1]), xycoords = 'data',\n", + " xytext = (Player.iloc[i]['location'][0],Player.iloc[i]['location'][1] ), textcoords = 'data',\n", " arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3\", color = \"blue\"),)\n", - " ax.set_title(player_name)\n", - " ax.text(40, -5, 'dribbles '+ season, fontsize=14)\n", - "fname = 'C:\\\\Users\\\\koushik.r\\\\Desktop\\\\Messi data\\\\'+ player_name + str(' dribbles ')+ str(ssn)+'.png'\n", - "plt.savefig(fname,orientation='landscape')\n", + " plt.title(player_name +str(' dribbles ') + season)\n", + " \n", "plt.show()" ] } @@ -315,7 +237,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.0" + "version": "3.6.9" } }, "nbformat": 4,