{ "cells": [ { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:16.073849Z", "start_time": "2025-12-29T18:03:14.475001Z" } }, "cell_type": "code", "source": [ "# Hier werden alle verwendeten Pythonmodule importiert\n", "import Datenbank\n", "import Import\n", "import importlib\n", "import Koordinatentransformationen\n", "import sqlite3\n", "import Funktionales_Modell\n", "import Berechnungen\n", "import Parameterschaetzung\n", "import Stochastisches_Modell\n", "from Stochastisches_Modell import StochastischesModell\n", "import Export\n", "import Netzqualität_Genauigkeit\n", "import Datumsfestlegung" ], "id": "2bc687b1b4adb7bd", "outputs": [], "execution_count": 1 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:16.139092Z", "start_time": "2025-12-29T18:03:16.079052Z" } }, "cell_type": "code", "source": [ "importlib.reload(Datenbank)\n", "importlib.reload(Import)\n", "# Anlegen der Datenbank, wenn nicht vorhanden\n", "pfad_datenbank = r\"Campusnetz.db\"\n", "Datenbank.Datenbank_anlegen(pfad_datenbank)\n", "\n", "# Import vervollständigen\n", "imp = Import.Import(pfad_datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)" ], "id": "57fcd841405b7866", "outputs": [], "execution_count": 2 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:16.174678Z", "start_time": "2025-12-29T18:03:16.144981Z" } }, "cell_type": "code", "source": [ "# Import der Koordinatendatei(en) vom Tachymeter\n", "pfad_datei = r\"Daten\\campsnetz_koordinaten_bereinigt.csv\"\n", "imp.import_koordinaten_lh_tachymeter(pfad_datei)" ], "id": "6ecde908841d1212", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Der Import der Näherungskoordinaten wurde erfolgreich abgeschlossen\n" ] } ], "execution_count": 3 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:16.243613Z", "start_time": "2025-12-29T18:03:16.194620Z" } }, "cell_type": "code", "source": [ "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "# Transformationen in ETRS89 / DREF91 Realisierung 2025\n", "print(db_zugriff.get_koordinaten(\"naeherung_lh\"))" ], "id": "daefb156198b46dc", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'10009': Matrix([\n", "[1000.0],\n", "[2000.0],\n", "[ 100.0]]), '10006': Matrix([\n", "[ 1000.0],\n", "[2032.6863],\n", "[ 99.5825]]), '10010': Matrix([\n", "[1011.8143],\n", "[1973.3252],\n", "[ 99.9259]]), '10018': Matrix([\n", "[1008.5759],\n", "[ 1942.762],\n", "[ 100.2553]]), '10008': Matrix([\n", "[979.7022],\n", "[1991.401],\n", "[ 99.732]]), '10005': Matrix([\n", "[ 966.5154],\n", "[2014.6496],\n", "[ 99.72]]), '10003': Matrix([\n", "[ 908.4312],\n", "[1996.1248],\n", "[ 99.7403]]), '10004': Matrix([\n", "[ 954.1536],\n", "[2021.6822],\n", "[ 99.4916]]), '10007': Matrix([\n", "[ 921.7481],\n", "[1973.6201],\n", "[ 99.9176]]), '10001': Matrix([\n", "[ 833.9439],\n", "[1978.3737],\n", "[ 99.8946]]), '10002': Matrix([\n", "[ 875.9684],\n", "[1998.5174],\n", "[ 99.5867]]), '10016': Matrix([\n", "[ 928.2783],\n", "[1944.0082],\n", "[ 100.0459]]), '10011': Matrix([\n", "[844.9567],\n", "[1891.157],\n", "[ 99.8117]]), '10026': Matrix([\n", "[1020.0059],\n", "[1913.8703],\n", "[ 100.3059]]), '10027': Matrix([\n", "[1016.9451],\n", "[1866.2914],\n", "[ 100.3251]]), '10043': Matrix([\n", "[1031.2077],\n", "[1822.4739],\n", "[ 100.3035]]), '10044': Matrix([\n", "[ 1025.976],\n", "[1782.4835],\n", "[ 100.5461]]), '10021': Matrix([\n", "[ 992.7607],\n", "[1904.8854],\n", "[ 100.3533]]), '10020': Matrix([\n", "[ 984.6187],\n", "[1903.3601],\n", "[ 100.3423]]), '10024': Matrix([\n", "[ 997.4831],\n", "[1881.7862],\n", "[ 100.3032]]), '10025': Matrix([\n", "[996.3241],\n", "[1866.844],\n", "[100.4102]]), '10022': Matrix([\n", "[990.0679],\n", "[1896.536],\n", "[100.2194]]), '10023': Matrix([\n", "[ 987.3223],\n", "[1889.8762],\n", "[ 100.343]]), '10019': Matrix([\n", "[ 962.6387],\n", "[1902.3565],\n", "[ 99.9772]]), '10033': Matrix([\n", "[ 964.0191],\n", "[1860.8023],\n", "[ 99.8551]]), '10017': Matrix([\n", "[ 931.6761],\n", "[1900.9945],\n", "[ 99.9572]]), '10052': Matrix([\n", "[ 1037.875],\n", "[1757.2999],\n", "[ 100.2737]]), '10042': Matrix([\n", "[1017.3489],\n", "[1803.0742],\n", "[ 100.3441]]), '10053': Matrix([\n", "[1033.3758],\n", "[1723.4258],\n", "[ 100.2774]]), '10037': Matrix([\n", "[ 966.2253],\n", "[1774.2051],\n", "[ 99.9957]]), '10040': Matrix([\n", "[ 990.8832],\n", "[1780.9678],\n", "[ 100.1677]]), '10041': Matrix([\n", "[993.2769],\n", "[1812.031],\n", "[100.4749]]), '10038': Matrix([\n", "[ 958.1899],\n", "[1804.7135],\n", "[ 100.0741]]), '10051': Matrix([\n", "[1008.9811],\n", "[1750.1838],\n", "[ 100.288]]), '10036': Matrix([\n", "[ 948.6403],\n", "[1763.5807],\n", "[ 100.0063]]), '10035': Matrix([\n", "[ 910.1265],\n", "[1768.0099],\n", "[ 100.0781]]), '10039': Matrix([\n", "[ 960.3884],\n", "[1820.0543],\n", "[ 100.0983]]), '10059': Matrix([\n", "[1049.2587],\n", "[1662.5451],\n", "[ 100.0148]]), '10050': Matrix([\n", "[1010.0246],\n", "[1726.2445],\n", "[ 100.1493]]), '10013': Matrix([\n", "[900.9076],\n", "[1902.873],\n", "[ 99.7911]]), '10028': Matrix([\n", "[ 853.9608],\n", "[1815.7417],\n", "[ 99.7793]]), '10012': Matrix([\n", "[ 895.3032],\n", "[1924.1523],\n", "[ 99.8758]]), '10014': Matrix([\n", "[ 913.9706],\n", "[1918.7731],\n", "[ 99.8872]]), '10031': Matrix([\n", "[ 937.1557],\n", "[1855.2805],\n", "[ 99.8479]]), '10015': Matrix([\n", "[ 912.5157],\n", "[1937.6471],\n", "[ 99.9834]]), '10032': Matrix([\n", "[ 954.6732],\n", "[1845.9356],\n", "[ 99.724]]), '10030': Matrix([\n", "[ 908.4749],\n", "[1828.8008],\n", "[ 99.5581]]), '10029': Matrix([\n", "[ 909.3343],\n", "[1814.8767],\n", "[ 99.5486]]), '10034': Matrix([\n", "[ 860.2357],\n", "[1758.9282],\n", "[ 99.737]]), '10045': Matrix([\n", "[867.2324],\n", "[1705.063],\n", "[ 99.7214]]), '10049': Matrix([\n", "[ 985.2561],\n", "[1715.2109],\n", "[ 99.9965]]), '10048': Matrix([\n", "[ 957.3889],\n", "[1716.2949],\n", "[ 99.7212]]), '10047': Matrix([\n", "[ 929.5334],\n", "[1712.6429],\n", "[ 99.6076]]), '10046': Matrix([\n", "[ 910.663],\n", "[1716.0969],\n", "[ 99.5459]]), '10057': Matrix([\n", "[969.6876],\n", "[1655.597],\n", "[ 99.7039]]), '10055': Matrix([\n", "[ 922.4731],\n", "[1647.7452],\n", "[ 99.4658]]), '10054': Matrix([\n", "[ 860.4481],\n", "[1636.6722],\n", "[ 99.7093]]), '10058': Matrix([\n", "[1013.2592],\n", "[1646.6356],\n", "[ 99.8513]]), '10056': Matrix([\n", "[ 939.9763],\n", "[1636.4179],\n", "[ 99.4027]])}\n" ] } ], "execution_count": 4 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:16.257794Z", "start_time": "2025-12-29T18:03:16.249750Z" } }, "cell_type": "code", "source": [ "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "# Transformationen in ETRS89 / DREF91 Realisierung 2025\n", "print(db_zugriff.get_koordinaten(\"naeherung_us\"))" ], "id": "ab62308d8c665e58", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{}\n" ] } ], "execution_count": 5 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:16.298646Z", "start_time": "2025-12-29T18:03:16.275510Z" } }, "cell_type": "code", "source": [ "importlib.reload(Import)\n", "imp = Import.Import(pfad_datenbank)\n", "\n", "pfad_koordinaten_gnss = r\"Daten\\Koordinaten_OL_umliegend_bereinigt.csv\"\n", "# X, Y, Z der SAPOS-Stationen\n", "genauigkeit_sapos_referenzstationen = [0.05, 0.04, 0.09]\n", "\n", "imp.import_koordinaten_gnss(pfad_koordinaten_gnss, genauigkeit_sapos_referenzstationen)\n" ], "id": "b28afe0c64aa59d6", "outputs": [ { "data": { "text/plain": [ "'Import der Koordinaten aus stationärem GNSS abgeschlossen.'" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 6 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:16.341188Z", "start_time": "2025-12-29T18:03:16.310007Z" } }, "cell_type": "code", "source": [ "# Datumsgebende Koordinaten bestimmen\n", "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "\n", "liste_koordinaten_x = [10026]\n", "liste_koordinaten_y = [10059]\n", "liste_koordinaten_z = [10028]\n", "liste_koordinaten_x_y_z = [10008, 10001]\n", "\n", "db_zugriff.set_datumskoordinaten(liste_koordinaten_x, liste_koordinaten_y, liste_koordinaten_z, liste_koordinaten_x_y_z)\n", "\n", "# Datumgebende Koordinaten entfernen\n", "liste_koordinaten_x = [10026]\n", "liste_koordinaten_y = [10059]\n", "liste_koordinaten_z = [10028]\n", "liste_koordinaten_x_y_z = [10001]\n", "\n", "db_zugriff.set_datumskoordinaten_to_neupunkte(liste_koordinaten_x, liste_koordinaten_y, liste_koordinaten_z, liste_koordinaten_x_y_z)" ], "id": "ed9be38e35cfc619", "outputs": [], "execution_count": 7 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:16.350823Z", "start_time": "2025-12-29T18:03:16.347168Z" } }, "cell_type": "code", "source": [ "# ToDo: Sobald GNSS vorliegend Koordinaten im ETRS89 / DREF 91 (2025) daraus berechnen!\n", "#liste_koordinaten_naeherung_us = {\n", "# 10001: (3794874.984, 546741.752, 5080029.990),\n", "# 10002: (3794842.533, 546726.907, 5080071.133),\n", "# 10037: (3794774.148, 546955.423, 5080040.520),\n", "# 10044: (3794725.786, 546954.557, 5080084.411),\n", "#}\n", "\n", "\n", "#con = sqlite3.connect(pfad_datenbank)\n", "#cursor = con.cursor()\n", "#sql = \"\"\"\n", "#UPDATE Netzpunkte\n", "#SET naeherungx_us = ?, naeherungy_us = ?, naeherungz_us = ?\n", "#WHERE punktnummer = ?\n", "#\"\"\"\n", "#for punktnummer, (x, y, z) in #liste_koordinaten_naeherung_us.items():\n", "# cursor.execute(sql, (x, y, z, punktnummer))\n", "#con.commit()\n", "#cursor.close()\n", "#con.close()" ], "id": "efa952a603ad1909", "outputs": [], "execution_count": 8 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.437273Z", "start_time": "2025-12-29T18:03:16.356718Z" } }, "cell_type": "code", "source": [ "# ToDo: Sobald GNSS-Daten vorliegen und die Berechnungen richtig sind, aufräumen!!!\n", "\n", "importlib.reload(Koordinatentransformationen)\n", "trafos = Koordinatentransformationen.Transformationen(pfad_datenbank)\n", "\n", "\n", "import numpy as np\n", "\n", "import itertools\n", "import numpy as np\n", "import sympy as sp\n", "\n", "db = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "dict_ausgangssystem = db.get_koordinaten(\"naeherung_lh\", \"Dict\")\n", "dict_zielsystem = db.get_koordinaten(\"naeherung_us\", \"Dict\")\n", "\n", "gemeinsame_punktnummern = sorted(set(dict_ausgangssystem.keys()) & set(dict_zielsystem.keys()))\n", "anzahl_gemeinsame_punkte = len(gemeinsame_punktnummern)\n", "\n", "liste_punkte_ausgangssystem = [dict_ausgangssystem[i] for i in gemeinsame_punktnummern]\n", "liste_punkte_zielsystem = [dict_zielsystem[i] for i in gemeinsame_punktnummern]\n", "\n", "def dist(a, b):\n", " return float((a - b).norm())\n", "\n", "print(\"d(p2,p1)=\", dist(liste_punkte_ausgangssystem[1], liste_punkte_ausgangssystem[0]))\n", "print(\"d(P2,P1)=\", dist(liste_punkte_zielsystem[1], liste_punkte_zielsystem[0]))\n", "print(\"m0 ~\", dist(liste_punkte_zielsystem[1], liste_punkte_zielsystem[0]) /\n", " dist(liste_punkte_ausgangssystem[1], liste_punkte_ausgangssystem[0]))\n", "\n", "\n", "def dist(a, b):\n", " return float((a - b).norm())\n", "\n", "ratios = []\n", "pairs = list(itertools.combinations(range(len(liste_punkte_ausgangssystem)), 2))\n", "\n", "for i, j in pairs:\n", " d_loc = dist(liste_punkte_ausgangssystem[i], liste_punkte_ausgangssystem[j])\n", " d_ecef = dist(liste_punkte_zielsystem[i], liste_punkte_zielsystem[j])\n", " if d_loc > 1e-6:\n", " ratios.append(d_ecef / d_loc)\n", "\n", "print(\"Anzahl Ratios:\", len(ratios))\n", "print(\"min/mean/max:\", min(ratios), sum(ratios)/len(ratios), max(ratios))\n", "print(\"std:\", float(np.std(ratios)))\n", "\n", "S_loc = sum(liste_punkte_ausgangssystem, sp.Matrix([0,0,0])) / anzahl_gemeinsame_punkte\n", "S_ecef = sum(liste_punkte_zielsystem, sp.Matrix([0,0,0])) / anzahl_gemeinsame_punkte\n", "\n", "print(\"S_loc:\", S_loc)\n", "print(\"S_ecef:\", S_ecef)\n", "print(\"Delta:\", (S_ecef - S_loc).evalf(6))\n", "\n", "\n", "def dist(a, b):\n", " return float((a - b).norm())\n", "\n", "n = len(liste_punkte_ausgangssystem)\n", "\n", "scores = []\n", "for i in range(n):\n", " d_loc = []\n", " d_ecef = []\n", " for j in range(n):\n", " if i == j:\n", " continue\n", " d_loc.append(dist(liste_punkte_ausgangssystem[i], liste_punkte_ausgangssystem[j]))\n", " d_ecef.append(dist(liste_punkte_zielsystem[i], liste_punkte_zielsystem[j]))\n", "\n", " d_loc = np.array(d_loc)\n", " d_ecef = np.array(d_ecef)\n", "\n", " # Verhältnisvektor; robust gegen Nullschutz\n", " r = d_ecef / np.where(d_loc == 0, np.nan, d_loc)\n", "\n", " # Streuung der Ratios für Punkt i\n", " score = np.nanstd(r)\n", " scores.append(score)\n", "\n", "for pn, sc in sorted(zip(gemeinsame_punktnummern, scores), key=lambda x: -x[1]):\n", " print(pn, round(sc, 4))\n", "\n", "\n", "\n", "transformationsparameter = trafos.Helmerttransformation_Euler_Transformationsparameter_berechne()" ], "id": "ebb18479e06e53ab", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "d(p2,p1)= 46.60388451996242\n", "d(P2,P1)= 46.59145296840883\n", "m0 ~ 0.999733250743331\n", "Anzahl Ratios: 45\n", "min/mean/max: 0.9986498495467658 0.9999468893556359 1.0004164038548047\n", "std: 0.00025301851725699595\n", "S_loc: Matrix([[937.945990000000], [1847.25831000000], [99.9451600000000]])\n", "S_ecef: Matrix([[3794821.39483000], [546885.587320000], [5080110.27740000]])\n", "Delta: Matrix([[3.79388e+6], [545038.], [5.08001e+6]])\n", "10054 0.0004\n", "10059 0.0004\n", "10037 0.0002\n", "10028 0.0002\n", "10044 0.0001\n", "10001 0.0001\n", "10014 0.0001\n", "10002 0.0001\n", "10026 0.0001\n", "10008 0.0001\n", "Anzahl gemeinsame Punkte: 10\n", "\n", "Erste Zielpunkte:\n", "10001 [3794901.5252, 546745.559, 5080065.7672]\n", "10002 [3794866.9711, 546729.5958, 5080092.6364]\n", "10008 [3794783.8581, 546746.6347, 5080152.7404]\n", "10014 [3794838.7464, 546812.3658, 5080105.2]\n", "10026 [3794753.8595, 546827.4296, 5080167.0938]\n", "\n", "Erste Ausgangspunkte:\n", "10001 [833.9439, 1978.3737, 99.8946]\n", "10002 [875.9684, 1998.5174, 99.5867]\n", "10008 [979.7022, 1991.401, 99.732]\n", "10014 [913.9706, 1918.7731, 99.8872]\n", "10026 [1020.0059, 1913.8703, 100.3059]\n", "min/mean/max: 0.9986498495467658 0.9999468893556359 1.0004164038548047\n", "R ist Orthonormal!\n", "Iteration Nr.1 abgeschlossen\n", "Matrix([[-11.6], [6.17], [1.24], [-0.0287], [-0.303], [0.0131], [0.234]])\n", "Iteration Nr.2 abgeschlossen\n", "Matrix([[6.69], [-7.21], [-7.49], [0.0287], [-0.00526], [-0.0136], [0.00423]])\n", "Iteration Nr.3 abgeschlossen\n", "Matrix([[-0.0296], [0.0719], [0.0282], [4.06e-5], [0.000189], [0.000386], [-0.000202]])\n", "Iteration Nr.4 abgeschlossen\n", "Matrix([[-0.000141], [3.72e-5], [-0.000110], [4.57e-8], [-8.87e-9], [9.87e-8], [-5.50e-8]])\n", "Iteration Nr.5 abgeschlossen\n", "Matrix([[-2.01e-8], [-2.70e-9], [-2.25e-8], [-4.34e-14], [-5.16e-12], [2.79e-11], [5.62e-12]])\n", "Iteration Nr.6 abgeschlossen\n", "Matrix([[5.49e-10], [-9.92e-10], [-2.05e-9], [1.18e-13], [-8.18e-13], [1.23e-12], [1.45e-12]])\n", "Matrix([[3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6]])\n", "Matrix([[3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6], [3.79e+6], [5.47e+5], [5.08e+6]])\n", "x = Matrix([[3.80e+6], [5.49e+5], [5.08e+6], [1.00], [-0.156], [0.627], [3.26]])\n", "\n", "l_berechnet_final:\n", "10001: 3794901.510, 546745.579, 5080065.739\n", "10002: 3794867.000, 546729.613, 5080092.680\n", "10008: 3794783.863, 546746.642, 5080152.749\n", "10014: 3794838.739, 546812.364, 5080105.171\n", "10026: 3794753.855, 546827.443, 5080167.088\n", "10028: 3794889.666, 546908.762, 5080056.912\n", "10037: 3794800.626, 546960.749, 5080117.708\n", "10044: 3794752.687, 546958.324, 5080154.240\n", "10054: 3794889.165, 547086.950, 5080038.116\n", "10059: 3794736.836, 547079.449, 5080152.372\n", "Streckendifferenzen:\n", "[0.037854, 0.054708, 0.012057, 0.029525, 0.015332, 0.073156, 0.071369, 0.025069, 0.127425, 0.139397]\n", "\n", "Differenz Schwerpunkt (Vektor):\n", "Matrix([[7.45e-10], [-1.16e-11], [8.38e-10]])\n", "Betrag der Schwerpunkt-Differenz:\n", "0.000m\n" ] } ], "execution_count": 9 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.638942Z", "start_time": "2025-12-29T18:03:19.598219Z" } }, "cell_type": "code", "source": [ "importlib.reload(Koordinatentransformationen)\n", "trafos = Koordinatentransformationen.Transformationen(pfad_datenbank)\n", "\n", "koordinaten_transformiert = trafos.Helmerttransformation(transformationsparameter)\n", "print(koordinaten_transformiert)" ], "id": "2d2156381d974d94", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'10003': Matrix([\n", "[3794841.05160911],\n", "[546735.115275456],\n", "[5080111.54339933]]), '10004': Matrix([\n", "[3794803.45940551],\n", "[546714.140641702],\n", "[ 5080141.3823901]]), '10005': Matrix([\n", "[3794793.84166274],\n", "[ 546722.32090113],\n", "[5080147.93094291]]), '10006': Matrix([\n", "[3794766.35574829],\n", "[546707.638500931],\n", "[5080169.73347008]]), '10007': Matrix([\n", "[3794831.04653105],\n", "[546758.725470118],\n", "[5080116.66332494]]), '10009': Matrix([\n", "[3794767.47195461],\n", "[546740.086996252],\n", "[5080165.95212446]]), '10010': Matrix([\n", "[3794758.63661992],\n", "[546767.666577211],\n", "[5080169.46449998]]), '10011': Matrix([\n", "[3794894.92257966],\n", "[546833.115975429],\n", "[5080061.15134195]]), '10012': Matrix([\n", "[3794853.60027107],\n", "[546805.236484738],\n", "[5080094.88946121]]), '10013': Matrix([\n", "[3794849.60872447],\n", "[ 546826.86855409],\n", "[5080095.43002485]]), '10015': Matrix([\n", "[3794839.46502568],\n", "[546793.516554541],\n", "[5080106.77121535]]), '10016': Matrix([\n", "[3794826.65837474],\n", "[ 546788.72753901],\n", "[5080116.86823753]]), '10017': Matrix([\n", "[3794825.01615411],\n", "[ 546831.69988615],\n", "[5080113.37479229]]), '10018': Matrix([\n", "[3794762.24812675],\n", "[546797.691250755],\n", "[5080163.98038017]]), '10019': Matrix([\n", "[3794800.09467062],\n", "[546833.323961445],\n", "[5080131.72453226]]), '10020': Matrix([\n", "[3794782.61058088],\n", "[546834.470509102],\n", "[5080145.03614137]]), '10021': Matrix([\n", "[3794776.02957169],\n", "[ 546833.74069488],\n", "[5080150.01297385]]), '10022': Matrix([\n", "[3794778.33715317],\n", "[546841.750187296],\n", "[5080147.27507413]]), '10023': Matrix([\n", "[3794780.79521146],\n", "[546848.101209168],\n", "[5080144.92492221]]), '10024': Matrix([\n", "[3794772.81613581],\n", "[546857.095708699],\n", "[5080149.83471416]]), '10025': Matrix([\n", "[3794774.20856191],\n", "[546871.810730791],\n", "[5080147.35917511]]), '10027': Matrix([\n", "[3794757.59126177],\n", "[ 546874.33140033],\n", "[ 5080159.3175342]]), '10029': Matrix([\n", "[3794845.02635416],\n", "[ 546914.91670774],\n", "[5080089.09994617]]), '10030': Matrix([\n", "[3794845.35315639],\n", "[546901.027441841],\n", "[5080090.35653172]]), '10031': Matrix([\n", "[3794821.75944771],\n", "[546877.548058418],\n", "[5080110.74604618]]), '10032': Matrix([\n", "[ 3794807.8482107],\n", "[546888.486125463],\n", "[5080119.74590858]]), '10033': Matrix([\n", "[3794800.01604745],\n", "[546874.652456339],\n", "[ 5080127.2047441]]), '10034': Matrix([\n", "[3794886.10489475],\n", "[546965.698741554],\n", "[5080053.40592357]]), '10035': Matrix([\n", "[3794845.94875191],\n", "[546961.512678588],\n", "[5080084.08751097]]), '10036': Matrix([\n", "[ 3794815.0546409],\n", "[546969.596670608],\n", "[5080106.06411486]]), '10038': Matrix([\n", "[3794806.32334837],\n", "[546929.730872601],\n", "[5080116.89880491]]), '10039': Matrix([\n", "[3794804.16237313],\n", "[546914.731636072],\n", "[5080120.13924256]]), '10040': Matrix([\n", "[3794780.72087746],\n", "[546956.424991315],\n", "[5080133.16147109]]), '10041': Matrix([\n", "[ 3794778.1533287],\n", "[546925.877928891],\n", "[5080138.72231384]]), '10042': Matrix([\n", "[3794758.95717917],\n", "[546937.059902176],\n", "[5080151.61030441]]), '10043': Matrix([\n", "[3794747.27379863],\n", "[546919.149782895],\n", "[5080162.14971609]]), '10045': Matrix([\n", "[3794881.90045231],\n", "[547019.783587438],\n", "[5080050.71577784]]), '10046': Matrix([\n", "[3794846.58037187],\n", "[547012.997115671],\n", "[5080077.44042076]]), '10047': Matrix([\n", "[3794831.53498179],\n", "[547018.239388235],\n", "[5080088.12403859]]), '10048': Matrix([\n", "[3794809.10667963],\n", "[547017.302310622],\n", "[ 5080105.0143912]]), '10049': Matrix([\n", "[3794786.89079629],\n", "[547021.076569963],\n", "[5080121.44468111]]), '10050': Matrix([\n", "[3794766.77195448],\n", "[547012.526623627],\n", "[5080137.48497074]]), '10051': Matrix([\n", "[3794767.05746264],\n", "[546988.699370853],\n", "[5080139.99787468]]), '10052': Matrix([\n", "[3794743.62620891],\n", "[546984.415934838],\n", "[5080157.83116681]]), '10053': Matrix([\n", "[3794748.14608301],\n", "[ 547017.57483818],\n", "[5080150.93007251]]), '10055': Matrix([\n", "[3794838.85197728],\n", "[547081.903863645],\n", "[5080075.69824785]]), '10056': Matrix([\n", "[3794825.04100344],\n", "[547094.811574165],\n", "[5080084.48876832]]), '10057': Matrix([\n", "[ 3794800.8193707],\n", "[547078.671611169],\n", "[5080104.57270624]]), '10058': Matrix([\n", "[3794766.10881437],\n", "[547091.754287187],\n", "[5080129.12088173]])}\n" ] } ], "execution_count": 10 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.671976Z", "start_time": "2025-12-29T18:03:19.651093Z" } }, "cell_type": "code", "source": [ "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "\n", "db_zugriff.set_koordinaten(koordinaten_transformiert, \"naeherung_us\")" ], "id": "5a9e8f24709980d2", "outputs": [], "execution_count": 11 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.710354Z", "start_time": "2025-12-29T18:03:19.677187Z" } }, "cell_type": "code", "source": [ "# Importieren der tachymetrischen Beobachtungen\n", "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "\n", "db_zugriff.get_instrument_liste(\"Tachymeter\")\n", "db_zugriff.set_instrument(\"Tachymeter\", \"Trimble S9\")\n", "db_zugriff.set_instrument(\"Nivellier\", \"Trimble DiNi 0.3\")\n", "db_zugriff.get_instrument_liste(\"Tachymeter\")" ], "id": "bb4c738edcf9ac6f", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Das Instrument Trimble S9 wurde erfolgreich hinzugefügt.\n", "Das Instrument Trimble DiNi 0.3 wurde erfolgreich hinzugefügt.\n" ] }, { "data": { "text/plain": [ "[(1, 'Tachymeter', 'Trimble S9')]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 12 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.755859Z", "start_time": "2025-12-29T18:03:19.715224Z" } }, "cell_type": "code", "source": [ "#Importieren der apriori Genauigkeitsinformationen\n", "#Zulässige Beobachtungsarten = \"Tachymeter_Richtung\", \"Tachymeter_Strecke\"\n", "# Wenn Beobachtungsart = \"Tachymeter_Richtung\" --> Übergabe in Milligon und nur Stabw_apriori_konst\n", "# Wenn Beobachtungsart = \"Tachymeter_Strecke\" --> Übergabe Stabw_apriori_konst in Millimeter und Stabw_apriori_streckenprop in ppm\n", "\n", "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "importlib.reload(Berechnungen)\n", "\n", "db_zugriff.set_genauigkeiten(1, \"Tachymeter_Richtung\", 0.15)\n", "db_zugriff.set_genauigkeiten(1, \"Tachymeter_Strecke\", 0.8, 1)\n", "db_zugriff.set_genauigkeiten(1, \"Tachymeter_Zenitwinkel\", 0.15)" ], "id": "c2db29680c53f8c4", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Die Genauigkeitsangabe für die Beobachtungsart Tachymeter_Richtung des Instrumentes Trimble S9 wurde erfolgreich hinzugefügt.\n", "Die Genauigkeitsangabe für die Beobachtungsart Tachymeter_Strecke des Instrumentes Trimble S9 wurde erfolgreich hinzugefügt.\n", "Die Genauigkeitsangabe für die Beobachtungsart Tachymeter_Zenitwinkel des Instrumentes Trimble S9 wurde erfolgreich hinzugefügt.\n" ] } ], "execution_count": 13 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.801660Z", "start_time": "2025-12-29T18:03:19.767976Z" } }, "cell_type": "code", "source": [ "# Importieren der tachymetrischen Beobachtungen\n", "importlib.reload(Import)\n", "imp = Import.Import(pfad_datenbank)\n", "\n", "pfad_datei_tachymeterbeobachtungen = r\"Daten\\campsnetz_beobachtungen_bereinigt.csv\"\n", "\n", "imp.import_beobachtungen_tachymeter(pfad_datei_tachymeterbeobachtungen, 1)" ], "id": "3d074282dffbbfd0", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Der Import der Datei Daten\\campsnetz_beobachtungen_bereinigt.csv wurde erfolgreich abgeschlossen.\n" ] } ], "execution_count": 14 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.832236Z", "start_time": "2025-12-29T18:03:19.813806Z" } }, "cell_type": "code", "source": [ "# Importieren der Normalhöhen der HFP\n", "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "\n", "liste_HFP = [(666, 3.891), (812, 3.999), (816, 3.995)]\n", "\n", "db_zugriff.set_normalhoehe_hfp(liste_HFP)" ], "id": "da3bd8e134a3fe5c", "outputs": [ { "data": { "text/plain": [ "'Der HFP 666 wurde neu hinzugefügt.\\nDer HFP 812 wurde neu hinzugefügt.\\nDer HFP 816 wurde neu hinzugefügt.'" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 15 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.849073Z", "start_time": "2025-12-29T18:03:19.843210Z" } }, "cell_type": "code", "source": [ "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "\n", "db_zugriff.get_normalhoehe_hfp()" ], "id": "ded7bfe9e696a09d", "outputs": [ { "data": { "text/plain": [ "[('666', 3.891), ('812', 3.999), ('816', 3.995)]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 16 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.884873Z", "start_time": "2025-12-29T18:03:19.860522Z" } }, "cell_type": "code", "source": [ "# Nivellement-Beobachtungen Importieren Teil 1\n", "\n", "importlib.reload(Import)\n", "imp = Import.Import(pfad_datenbank)\n", "dict_punkthoehen_naeherung_niv, liste_punkte_in_db = imp.vorbereitung_import_beobachtungen_nivellement_naeherung_punkthoehen(r\"Daten\\Niv_bereinigt.DAT.csv\", 2)" ], "id": "1f61a51b2a7366e7", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Für folgende Nivellementpunkte werden die Höhen in der Ausgleichung berechnet: ['812', '10047', '10046', '10045', '10034', '10035', '10029', '10030', '10031', '10017', '10013', '10012', '10014', '10015', '10016', '10007', '666', '10054', '10056', '10058', '10052', '10043', '10026', '10010', '10006', '816', '10048', '10049', '10053', '10050', '10051', '10040', '10037', '10038', '10039', '10032', '10033', '10025', '10024', '10023', '10022', '10021', '10020', '10019', '10036', '10028', '10011', '10001', '10003', '10008', '10005', '10004', '10002', '10055', '10057', '10059', '10044', '10041', '10042', '10027', '10018', '10009']\n", "Für folgende Punkte wird aktuell keine Höhe in der Ausgleichung berechnet: ['FH14', '80001', 'FH11', 'FH13', '80002', '90001', '90002', '90003', '90004', '90005', '90006', '90007', '90008', '90009', '90010', '90011', '90012', '90013', '90014', 'FH3', 'FH4', '70001', 'FH15', '70002', '60001', 'FH5', '60002', '60003', '60004', '60005', '60006', '60007', '60008', '60009', '60010', '30001', '30002', '30003', '30004', '30005', '30006', '30007', '30008']. Bei Bedarf im folgenden Schritt ändern!\n" ] } ], "execution_count": 17 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.909451Z", "start_time": "2025-12-29T18:03:19.891228Z" } }, "cell_type": "code", "source": [ "# Nivellement-Beobachtungen Importieren Teil 2\n", "\n", "importlib.reload(Import)\n", "imp = Import.Import(pfad_datenbank)\n", "liste_hoehenpunkte_hinzufuegen = ['FH14', 'FH11', 'FH13', 'FH3', 'FH4', 'FH15', 'FH5']\n", "imp.import_beobachtungen_nivellement_naeherung_punkthoehen(dict_punkthoehen_naeherung_niv, liste_punkte_in_db, liste_hoehenpunkte_hinzufuegen)" ], "id": "6c909b9792861b30", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Neu hinzugefügt (7): ['FH14', 'FH11', 'FH13', 'FH3', 'FH4', 'FH15', 'FH5']\n", "Bereits vorhanden (0): []\n", "Geändert (62): ['812', '10047', '10046', '10045', '10034', '10035', '10029', '10030', '10031', '10017', '10013', '10012', '10014', '10015', '10016', '10007', '666', '10054', '10056', '10058', '10052', '10043', '10026', '10010', '10006', '816', '10048', '10049', '10053', '10050', '10051', '10040', '10037', '10038', '10039', '10032', '10033', '10025', '10024', '10023', '10022', '10021', '10020', '10019', '10036', '10028', '10011', '10001', '10003', '10008', '10005', '10004', '10002', '10055', '10057', '10059', '10044', '10041', '10042', '10027', '10018', '10009']\n", "\n" ] }, { "data": { "text/plain": [ "\"Für folgende Punkte werden die Höhen Ausgeglichen: ['FH14', 'FH11', 'FH13', 'FH3', 'FH4', 'FH15', 'FH5', '812', '10047', '10046', '10045', '10034', '10035', '10029', '10030', '10031', '10017', '10013', '10012', '10014', '10015', '10016', '10007', '666', '10054', '10056', '10058', '10052', '10043', '10026', '10010', '10006', '816', '10048', '10049', '10053', '10050', '10051', '10040', '10037', '10038', '10039', '10032', '10033', '10025', '10024', '10023', '10022', '10021', '10020', '10019', '10036', '10028', '10011', '10001', '10003', '10008', '10005', '10004', '10002', '10055', '10057', '10059', '10044', '10041', '10042', '10027', '10018', '10009']\"" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 18 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:03:19.943437Z", "start_time": "2025-12-29T18:03:19.923627Z" } }, "cell_type": "code", "source": [ "# Nivellement-Beobachtungen Importieren Teil 3\n", "importlib.reload(Import)\n", "imp = Import.Import(pfad_datenbank)\n", "imp.import_beobachtungen_nivellement_RVVR(r\"Daten\\Niv_bereinigt.DAT.csv\", 2)" ], "id": "4c06b9c4cd78e7b7", "outputs": [ { "data": { "text/plain": [ "'Die Beobachtungen aus der Datei Daten\\\\Niv_bereinigt.DAT.csv wurden erfolgreich importiert.'" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "execution_count": 19 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:06:37.026587Z", "start_time": "2025-12-29T18:03:19.955140Z" } }, "cell_type": "code", "source": [ "# Jacobimatrix aufstellen\n", "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "\n", "# Parameter des GRS80-ellipsoids (Bezugsellipsoid des ETRS89 / DREF 91 (2025)\n", "# ToDo: Quelle mit möglichst genauen Parametern heraussuchen!\n", "a = 6378137.0 #m\n", "b = 63567552.314 #m\n", "\n", "importlib.reload(Funktionales_Modell)\n", "fm = Funktionales_Modell.FunktionalesModell(pfad_datenbank, a, b)\n", "\n", "#db_zugriff.get_beobachtungen_id_standpunkt_zielpunkt(\"tachymeter_distanz\")\n", "Jacobimatrix_symbolisch = fm.jacobi_matrix_symbolisch()[0]\n", "Jacobimatrix_symbolisch_liste_unbekannte = fm.jacobi_matrix_symbolisch()[1]\n", "Jacobimatrix_symbolisch_liste_beobachtungsvektor = fm.jacobi_matrix_symbolisch()[2]" ], "id": "c9367690f5b73953", "outputs": [], "execution_count": 20 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:08:10.305113Z", "start_time": "2025-12-29T18:08:00.999260Z" } }, "cell_type": "code", "source": [ "importlib.reload(Datenbank)\n", "db_zugriff = Datenbank.Datenbankzugriff(pfad_datenbank)\n", "importlib.reload(Funktionales_Modell)\n", "fm = Funktionales_Modell.FunktionalesModell(pfad_datenbank, a, b)\n", "\n", "A_matrix_numerisch_iteration0 = fm.jacobi_matrix_zahlen_iteration_0(Jacobimatrix_symbolisch, \"naeherung_us\", Jacobimatrix_symbolisch_liste_unbekannte, Jacobimatrix_symbolisch_liste_beobachtungsvektor)" ], "id": "163fa2e24923b40", "outputs": [], "execution_count": 21 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:08:10.428867Z", "start_time": "2025-12-29T18:08:10.310723Z" } }, "cell_type": "code", "source": [ "importlib.reload(Funktionales_Modell)\n", "fm = Funktionales_Modell.FunktionalesModell(pfad_datenbank, a, b)\n", "\n", "beobachtungsvektor_numerisch = fm.beobachtungsvektor_numerisch(Jacobimatrix_symbolisch_liste_beobachtungsvektor)" ], "id": "80e8325721c950f8", "outputs": [], "execution_count": 22 }, { "metadata": { "ExecuteTime": { "end_time": "2025-12-29T18:08:15.091487Z", "start_time": "2025-12-29T18:08:10.434224Z" } }, "cell_type": "code", "source": [ "importlib.reload(Funktionales_Modell)\n", "fm = Funktionales_Modell.FunktionalesModell(pfad_datenbank, a, b)\n", "\n", "beobachtungsvektor_naeherung_symbolisch = fm.beobachtungsvektor_naeherung_symbolisch(Jacobimatrix_symbolisch_liste_beobachtungsvektor)" ], "id": "33e9fbd465c577e4", "outputs": [], "execution_count": 23 }, { "metadata": {}, "cell_type": "code", "source": [ "importlib.reload(Funktionales_Modell)\n", "fm = Funktionales_Modell.FunktionalesModell(pfad_datenbank, a, b)\n", "\n", "beobachtungsvektor_naeherung_numerisch_iteration0 = fm.beobachtungsvektor_naeherung_numerisch_iteration0(Jacobimatrix_symbolisch_liste_beobachtungsvektor, beobachtungsvektor_naeherung_symbolisch)" ], "id": "bcf3dd5fc820d077", "outputs": [], "execution_count": null }, { "metadata": {}, "cell_type": "code", "source": [ "# Auftstellen der Qll-Matrix\n", "importlib.reload(Stochastisches_Modell)\n", "stoch_modell = Stochastisches_Modell.StochastischesModell(A_matrix_numerisch_iteration0.rows)\n", "\n", "Qll_matrix_symbolisch = stoch_modell.Qll_symbolisch(pfad_datenbank, Jacobimatrix_symbolisch_liste_beobachtungsvektor)\n", "Qll_matrix_numerisch = stoch_modell.Qll_numerisch(pfad_datenbank, Qll_matrix_symbolisch,Jacobimatrix_symbolisch_liste_beobachtungsvektor)" ], "id": "63c4db5423f4fbaf", "outputs": [], "execution_count": null }, { "metadata": {}, "cell_type": "code", "source": "", "id": "56d21ad3a21bcb23", "outputs": [], "execution_count": null }, { "metadata": {}, "cell_type": "code", "source": "", "id": "62ce1bc475e81e81", "outputs": [], "execution_count": null }, { "metadata": {}, "cell_type": "code", "source": "", "id": "275c60800b458eae", "outputs": [], "execution_count": null }, { "metadata": {}, "cell_type": "code", "source": [ "importlib.reload(Funktionales_Modell)\n", "fm = Funktionales_Modell.FunktionalesModell(pfad_datenbank, a, b)\n", "\n", "importlib.reload(Parameterschaetzung)\n", "importlib.reload(Stochastisches_Modell)\n", "\n", "importlib.reload(Netzqualität_Genauigkeit)\n", "importlib.reload(Export)\n", "\n", "\n", "stoch_modell = Stochastisches_Modell.StochastischesModell(A_matrix_numerisch_iteration0.rows)\n", "\n", "dx = Parameterschaetzung.ausgleichung_global(A_matrix_numerisch_iteration0, fm.berechnung_dl(beobachtungsvektor_numerisch, beobachtungsvektor_naeherung_numerisch_iteration0), stoch_modell)[1]" ], "id": "d114b64c8acc8c50", "outputs": [], "execution_count": null }, { "metadata": {}, "cell_type": "code", "source": [ "# Von Fabian\n", "\n", "importlib.reload(Funktionales_Modell)\n", "fm = Funktionales_Modell.FunktionalesModell(pfad_datenbank, a, b)\n", "importlib.reload(Export)\n", "importlib.reload(Datenbank)\n", "\n", "unbekanntenvektor_symbolisch = (fm.unbekanntenvektor_symbolisch(Jacobimatrix_symbolisch_liste_unbekannte))\n", "unbekanntenvektor_numerisch_iteration0 = fm.unbekanntenvektor_numerisch(Jacobimatrix_symbolisch_liste_unbekannte, unbekanntenvektor_symbolisch)\n", "print(unbekanntenvektor_numerisch_iteration0)\n", "print(\"-----\")\n", "unbekanntenvektor_numerisch = fm.unbekanntenvektor_numerisch(Jacobimatrix_symbolisch_liste_unbekannte, unbekanntenvektor_symbolisch, dx, unbekanntenvektor_numerisch_iteration0)\n", "print(unbekanntenvektor_numerisch)" ], "id": "80c2cf1889ea56c8", "outputs": [], "execution_count": null }, { "metadata": {}, "cell_type": "code", "source": [ "# Datumsfestlegung: Bitte geben Sie nachfolgend die Koordinatenkomponenten an, die das Datum definieren sollen\n", "\n", "auswahl = [\n", " (\"101\",\"X\"), (\"101\",\"Y\"), # Punkt 101 nur Lage\n", " (\"205\",\"X\"), (\"205\",\"Y\"), (\"205\",\"Z\"), # Punkt 205 voll\n", " (\"330\",\"Z\") # Punkt 330 nur Höhe\n", "]\n", "\n", "aktive_unbekannte_indices = Datumsfestlegung.datumskomponenten(auswahl, liste_punktnummern)" ], "id": "cd09dd5a716736b1", "outputs": [], "execution_count": null } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }