{
 "metadata": {
  "name": "",
  "signature": "sha256:586eec7fe27cc9a421c7723160dfd1dc3ea98e99148d3b72dd0503d17019f96d"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# read the experimental data --------- this is a trial \n",
      "\n",
      "import csv\n",
      "import pylab as pl\n",
      "import math \n",
      "import numpy as np\n",
      "from collections \n",
      "with open('data.csv' , 'rb') as csvfile:\n",
      "    data = csv.reader(csvfile, delimiter = ',')\n",
      "    for row in data:\n",
      "        print row\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
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        "['#', 'X,', 'Y,', 'Z', 'are', 'deployed', 'coordinates', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['VARIABLES', '=', 'x/c_local', 'eta', 'z/c_local', 'X', 'Y', 'Z', 'cp_ETW_RUN238', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '1', '(eta', '=', '0.150%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.15', '0.4431', '1.13E+03', '2.14E+02', '-5.50E+01', '-0.874116', '', '', '', '', '', '', '']\n",
        "['0.6', '0.15', '0.4172', '1.12E+03', '2.14E+02', '-6.24E+01', '-1.15604', '', '', '', '', '', '', '']\n",
        "['0.25', '0.15', '0.3341', '1.10E+03', '2.14E+02', '-7.33E+01', '-0.914114', '', '', '', '', '', '', '']\n",
        "['0.1', '0.15', '0.2429', '1.10E+03', '2.14E+02', '-8.04E+01', '-0.474141', '', '', '', '', '', '', '']\n",
        "['0.04', '0.15', '0.1645', '1.10E+03', '2.14E+02', '-8.50E+01', '3.09E-03', '', '', '', '', '', '', '']\n",
        "['0', '0.15', '0', '1.10E+03', '2.14E+02', '-9.30E+01', '0.555114', '', '', '', '', '', '', '']\n",
        "['0.1', '0.15', '-0.2365', '1.11E+03', '2.14E+02', '-1.01E+02', '-0.970996', '', '', '', '', '', '', '']\n",
        "['0.4', '0.15', '0.0678', '1.12E+03', '2.14E+02', '-8.17E+01', '-0.275206', '', '', '', '', '', '', '']\n",
        "['0.7', '0.15', '0.3365', '1.12E+03', '2.14E+02', '-6.38E+01', '-0.283897', '', '', '', '', '', '', '']\n",
        "['0.95', '0.15', '0.4288', '1.13E+03', '2.14E+02', '-5.46E+01', '-0.48439', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '2', '(eta', '=', '0.288%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.288', '0.2561', '1.26E+03', '4.08E+02', '-5.00E+01', '999.000\\t', '', '', '', '', '', '', '']\n",
        "['0.6', '0.288', '0.2322', '1.24E+03', '4.08E+02', '-5.71E+01', '-1.04041', '', '', '', '', '', '', '']\n",
        "['0.25', '0.288', '0.1798', '1.23E+03', '4.08E+02', '-6.64E+01', '-1.09857', '', '', '', '', '', '', '']\n",
        "['0.1', '0.288', '0.1316', '1.22E+03', '4.08E+02', '-7.15E+01', '-1.05833', '', '', '', '', '', '', '']\n",
        "['0.04', '0.288', '0.0887', '1.22E+03', '4.08E+02', '-7.45E+01', '-0.912122', '', '', '', '', '', '', '']\n",
        "['0', '0.288', '0', '1.22E+03', '4.08E+02', '-7.91E+01', '999', '', '', '', '', '', '', '']\n",
        "['0.1', '0.288', '-0.1005', '1.23E+03', '4.08E+02', '-8.13E+01', '0.322772', '', '', '', '', '', '', '']\n",
        "['0.4', '0.288', '0.0668', '1.24E+03', '4.08E+02', '-6.81E+01', '-8.43E-02', '', '', '', '', '', '', '']\n",
        "['0.7', '0.288', '0.2017', '1.25E+03', '4.08E+02', '-5.63E+01', '5.30E-02', '', '', '', '', '', '', '']\n",
        "['0.95', '0.288', '0.2468', '1.26E+03', '4.07E+02', '-4.93E+01', '-0.635857', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '4', '(eta', '=', '0.449%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.449', '0.2297', '1.40E+03', '6.33E+02', '-3.60E+01', '-1.34844', '\\t\\t', '', '', '', '', '', '']\n",
        "['0.6', '0.449', '0.2114', '1.38E+03', '6.33E+02', '-4.24E+01', '-1.26772', '', '', '', '', '', '', '']\n",
        "['0.25', '0.449', '0.166', '1.37E+03', '6.33E+02', '-5.08E+01', '-1.40138', '', '', '', '', '', '', '']\n",
        "['0.1', '0.449', '0.1206', '1.37E+03', '6.33E+02', '-5.55E+01', '-1.52403', '', '', '', '', '', '', '']\n",
        "['0.04', '0.449', '0.0828', '1.36E+03', '6.33E+02', '-5.81E+01', '-1.44056', '', '', '', '', '', '', '']\n",
        "['0', '0.449', '0', '1.36E+03', '6.33E+02', '-6.22E+01', '0.217763', '', '', '', '', '', '', '']\n",
        "['0.1', '0.449', '-0.0941', '1.37E+03', '6.33E+02', '-6.40E+01', '0.448483', '', '', '', '', '', '', '']\n",
        "['0.4', '0.449', '0.0476', '1.38E+03', '6.33E+02', '-5.27E+01', '0.100254', '', '', '', '', '', '', '']\n",
        "['0.7', '0.449', '0.1672', '1.39E+03', '6.33E+02', '-4.22E+01', '0.119066', '', '', '', '', '', '', '']\n",
        "['0.95', '0.449', '0.2157', '1.40E+03', '6.33E+02', '-3.56E+01', '-0.231317', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '5', '(eta', '=', '0.543%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.543', '0.2313', '1.48E+03', '7.64E+02', '-2.80E+01', '-1.42284', '', '', '', '', '', '', '']\n",
        "['0.65', '0.543', '0.2158', '1.47E+03', '7.64E+02', '-3.31E+01', '-1.28667', '', '', '', '', '', '', '']\n",
        "['0.45', '0.543', '0.1966', '1.46E+03', '7.64E+02', '-3.75E+01', '-1.28358', '', '', '', '', '', '', '']\n",
        "['0.25', '0.543', '0.1655', '1.45E+03', '7.64E+02', '-4.23E+01', '-1.37087', '', '', '', '', '', '', '']\n",
        "['0.1', '0.543', '0.1202', '1.45E+03', '7.64E+02', '-4.67E+01', '-1.65574', '', '', '', '', '', '', '']\n",
        "['0.02', '0.543', '0.0596', '1.45E+03', '7.64E+02', '-5.05E+01', '-1.08017', '', '', '', '', '', '', '']\n",
        "['0', '0.543', '0', '1.45E+03', '7.64E+02', '-5.31E+01', '4.71E-02', '', '', '', '', '', '', '']\n",
        "['0.075', '0.543', '-0.0845', '1.45E+03', '7.64E+02', '-5.50E+01', '0.442009', '', '', '', '', '', '', '']\n",
        "['0.2', '0.543', '-0.0955', '1.46E+03', '7.64E+02', '-5.31E+01', '0.427732', '', '', '', '', '', '', '']\n",
        "['0.45', '0.543', '0.0814', '1.46E+03', '7.64E+02', '-4.19E+01', '1.14E-02', '', '', '', '', '', '', '']\n",
        "['0.7', '0.543', '0.1695', '1.47E+03', '7.64E+02', '-3.39746E+01\\t', '0.730857', '', '', '', '', '', '', '']\n",
        "['0.95', '0.543', '0.2174', '1.48E+03', '7.63E+02', '-2.76210E+01\\t', '-0.182149', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '6', '(eta', '=', '0.681%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.681', '0.2333', '1.60E+03', '9.56E+02', '-1.62E+01', '-1.35335', '', '', '', '', '', '', '']\n",
        "['0.6', '0.681', '0.2109', '1.59E+03', '9.56E+02', '-2.21E+01', '-1.2752', '', '', '', '', '', '', '']\n",
        "['0.15', '0.681', '0.137', '1.57E+03', '9.56E+02', '-3.23E+01', '-1.63421', '', '', '', '', '', '', '']\n",
        "['0.1', '0.681', '0.118', '1.57E+03', '9.56E+02', '-3.38E+01', '-1.71753', '', '', '', '', '', '', '']\n",
        "['0.04', '0.681', '0.0799', '1.57E+03', '9.56E+02', '-3.62E+01', '-1.38238', '', '', '', '', '', '', '']\n",
        "['0', '0.681', '-0.0146', '1.57E+03', '9.56E+02', '-4.02E+01', '0.222704', '', '', '', '', '', '', '']\n",
        "['0.1', '0.681', '-0.0776', '1.58E+03', '9.56E+02', '-4.07E+01', '0.453849', '', '', '', '', '', '', '']\n",
        "['0.4', '0.681', '0.058', '1.58E+03', '9.56E+02', '-3.09E+01', '0.217929', '', '', '', '', '', '', '']\n",
        "['0.7', '0.681', '0.1723', '1.59E+03', '9.56E+02', '-2.18E+01', '0.175343', '', '', '', '', '', '', '']\n",
        "['0.95', '0.681', '0.2192', '1.60E+03', '9.56E+02', '-1.59E+01', '-0.107148', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '7', '(eta', '=', '0.715%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.715', '0.2338', '1.63E+03', '1.00E+03', '-1.33E+01', '-1.36276', '', '', '', '', '', '', '']\n",
        "['0.6', '0.715', '0.2104', '1.62E+03', '1.00E+03', '-1.91E+01', '-1.2609', '', '', '', '', '', '', '']\n",
        "['0.15', '0.715', '0.1359', '1.60E+03', '1.00E+03', '-2.91E+01', '-1.63778', '', '', '', '', '', '', '']\n",
        "['0.1', '0.715', '0.1171', '1.60E+03', '1.00E+03', '-3.06E+01', '-1.62954', '', '', '', '', '', '', '']\n",
        "['0.04', '0.715', '0.079', '1.60E+03', '1.00E+03', '-3.29E+01', '-1.21888', '', '', '', '', '', '', '']\n",
        "['0', '0.715', '0', '1.60E+03', '1.00E+03', '-3.63E+01', '999', '', '', '', '', '', '', '']\n",
        "['0.1', '0.715', '-0.0741', '1.61E+03', '1.00E+03', '-3.72E+01', '0.449709', '', '', '', '', '', '', '']\n",
        "['0.4', '0.715', '0.0598', '1.61E+03', '1.00E+03', '-2.76E+01', '0.226097', '', '', '', '', '', '', '']\n",
        "['0.7', '0.715', '0.173', '1.62E+03', '1.00E+03', '-1.87E+01', '0.234124', '', '', '', '', '', '', '']\n",
        "['0.95', '0.715', '0.2197', '1.63E+03', '1.00E+03', '-1.29E+01', '-6.45E-02', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '8', '(eta', '=', '0.751%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.751', '0.2343', '1.66E+03', '1.05E+03', '-1.02E+01', '-1.43047', '', '', '', '', '', '', '']\n",
        "['0.6', '0.751', '0.21', '1.65E+03', '1.05E+03', '-1.59E+01', '-1.11829', '', '', '', '', '', '', '']\n",
        "['0.15', '0.751', '0.1346', '1.64E+03', '1.05E+03', '-2.57E+01', '-1.52741', '', '', '', '', '', '', '']\n",
        "['0.1', '0.751', '0.116', '1.64E+03', '1.05E+03', '-2.72E+01', '-1.60006', '', '', '', '', '', '', '']\n",
        "['0.04', '0.751', '0.0779', '1.63E+03', '1.05E+03', '-2.94E+01', '-1.18977', '', '', '', '', '', '', '']\n",
        "['0', '0.751', '0', '1.63E+03', '1.05E+03', '-3.27E+01', '0.241575', '', '', '', '', '', '', '']\n",
        "['0.1', '0.751', '-0.0702', '1.64E+03', '1.05E+03', '-3.35E+01', '0.413251', '', '', '', '', '', '', '']\n",
        "['0.4', '0.751', '0.062', '1.65E+03', '1.05E+03', '-2.41E+01', '0.155319', '', '', '', '', '', '', '']\n",
        "['0.7', '0.751', '0.1739', '1.65E+03', '1.05E+03', '-1.55E+01', '0.215697', '', '', '', '', '', '', '']\n",
        "['0.95', '0.751', '0.2203', '1.66E+03', '1.05E+03', '-9.87E+00', '5.23E-02', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '9', '(eta', '=', '0.818%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.818', '0.2358', '1.72E+03', '1.15E+03', '-4.37E+00', '-1.3123', '', '', '', '', '', '', '']\n",
        "['0.6', '0.818', '0.209', '1.71E+03', '1.15E+03', '-9.90E+00', '-1.13718', '', '', '', '', '', '', '']\n",
        "['0.25', '0.818', '0.1568', '1.70E+03', '1.15E+03', '-1.70E+01', '-1.18516', '', '', '', '', '', '', '']\n",
        "['0.1', '0.818', '0.1132', '1.70E+03', '1.15E+03', '-2.08E+01', '-1.44679', '', '', '', '', '', '', '']\n",
        "['0.04', '0.818', '0.0754', '1.69E+03', '1.15E+03', '-2.29E+01', '-0.908543', '', '', '', '', '', '', '']\n",
        "['0', '0.818', '0', '1.69E+03', '1.15E+03', '-2.60E+01', '0.226717', '', '', '', '', '', '', '']\n",
        "['0.1', '0.818', '-0.0614', '1.70E+03', '1.15E+03', '-2.65E+01', '0.277374', '', '', '', '', '', '', '']\n",
        "['0.4', '0.818', '0.0665', '1.71E+03', '1.15E+03', '-1.76E+01', '-0.258083', '', '', '', '', '', '', '']\n",
        "['0.7', '0.818', '0.1757', '1.71E+03', '1.15E+03', '-9.43E+00', '0.390596', '', '', '', '', '', '', '']\n",
        "['0.95', '0.818', '0.2219', '1.72E+03', '1.15E+03', '-4.04E+00', '3.23E-02', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '10', '(eta', '=', '0.891%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.891', '0.2389', '1.78E+03', '1.25E+03', '1.98E+00', '-1.07855', '\\t\\t\\t', '', '', '', '', '', '']\n",
        "['0.6', '0.891', '0.2086', '1.77E+03', '1.25E+03', '-3.40E+00', '-0.972246', '', '', '', '', '', '', '']\n",
        "['0.25', '0.891', '0.1532', '1.76E+03', '1.25E+03', '-1.03E+01', '-0.940466', '', '', '', '', '', '', '']\n",
        "['0.1', '0.891', '0.11', '1.76E+03', '1.25E+03', '-1.39E+01', '-1.1599', '', '', '', '', '', '', '']\n",
        "['0.04', '0.891', '0.0729', '1.76E+03', '1.25E+03', '-1.59E+01', '-0.459049', '', '', '', '', '', '', '']\n",
        "['0', '0.891', '0.0002', '1.76E+03', '1.25E+03', '-1.87E+01', '0.525799', '', '', '', '', '', '', '']\n",
        "['0.1', '0.891', '-0.0505', '1.76E+03', '1.25E+03', '-1.88E+01', '0.232239', '', '', '', '', '', '', '']\n",
        "['0.4', '0.891', '0.0719', '1.77E+03', '1.25E+03', '-1.06E+01', '999', '', '', '', '', '', '', '']\n",
        "['0.7', '0.891', '0.1779', '1.78E+03', '1.25E+03', '-2.87E+00', '0.174098', '', '', '', '', '', '', '']\n",
        "['0.95', '0.891', '0.2249', '1.79E+03', '1.25E+03', '2.29E+00', '0.192905', '', '', '', '', '', '', '']\n",
        "['', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'SLAT', 'SECTION', 'INDEX', '11', '(eta', '=', '0.964%)', 'alpha', '=', '7\"']\n",
        "['0.9', '0.964', '0.2441', '1.85E+03', '1.35E+03', '8.40E+00', '-0.819886\\t\\t', '', '', '', '', '', '', '']\n",
        "['0.6', '0.964', '0.2105', '1.84E+03', '1.35E+03', '3.19E+00', '-0.703666', '', '', '', '', '', '', '']\n",
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        "['0.1', '0.964', '0.1085', '1.83E+03', '1.35E+03', '-6.84E+00', '-0.592368', '', '', '', '', '', '', '']\n",
        "['0', '0.964', '0', '1.82E+03', '1.35E+03', '-1.14E+01', '0.653263', '', '', '', '', '', '', '']\n",
        "['0.1', '0.964', '-0.0439', '1.83E+03', '1.35E+03', '-1.13E+01', '4.08E-02', '', '', '', '', '', '', '']\n",
        "['0.4', '0.964', '0.0767', '1.84E+03', '1.35E+03', '-3.55E+00', '-0.252316', '', '', '', '', '', '', '']\n",
        "['0.7', '0.964', '0.1798', '1.84E+03', '1.35E+03', '3.70E+00', '-0.169493', '', '', '', '', '', '', '']\n",
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        "['\\t\\t\\t\\t\\t\\t\\t', '', '', '', '', '', '', '', '', '', '', '', '', '']\n",
        "['Zone', 't=\"ETW', 'RUN', '238', 'WING', 'SECTION', 'INDEX', '1', '(eta', '=', '0.150%)', 'alpha', '=', '7\"']\n",
        "['0.9424', '0.15', '0.0105', '1.54E+03', '2.10E+02', '-6.60E+01', '-0.742028', '', '', '', '', '', '', '']\n",
        "['0.8849', '0.15', '0.0181', '1.52E+03', '2.10E+02', '-6.28E+01', '-0.705619', '', '', '', '', '', '', '']\n",
        "['0.7711', '0.15', '0.0334', '1.47E+03', '2.09E+02', '-5.62E+01', '-0.713163', '', '', '', '', '', '', '']\n",
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