WaveProp1D-MPII-Tidy.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8e060377",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Plotting a UnitIntervalMesh:\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/aangniu/anaconda3/envs/fenicsproject/lib/python3.9/site-packages/ffc/jitcompiler.py:234: QuadratureRepresentationDeprecationWarning: \n",
      "*** ===================================================== ***\n",
      "*** FFC: quadrature representation is deprecated! It will ***\n",
      "*** likely be removed in 2018.2.0 release. Use uflacs     ***\n",
      "*** representation instead.                               ***\n",
      "*** ===================================================== ***\n",
      "  issue_deprecation_warning()\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Increment: 1    Initial Residual: 0.003249590421837719\n",
      "    Residual: 5.143285552780892e-19   0\n",
      "Activation:  []\n",
      "Increment: 2    Initial Residual: 0.013080954419446929\n",
      "    Residual: 2.529366277972212e-13   0\n",
      "Activation:  []\n",
      "Increment: 3    Initial Residual: 0.03167435059085005\n",
      "    Residual: 0.0012101184613308156   0\n",
      "    Residual: 5.221371836171689e-11   1\n",
      "    Residual: 5.905547550144555e-11   2\n",
      "    Residual: 5.3409111186158626e-14   3\n",
      "Activation:  [0.00044605]\n",
      "Increment: 4    Initial Residual: 0.05504334575808595\n",
      "    Residual: 0.0013547158992404428   0\n",
      "    Residual: 1.0948338997821096e-10   1\n",
      "    Residual: 2.617333726438415e-10   2\n",
      "    Residual: 1.2104880554486874e-10   3\n",
      "    Residual: 9.283997012534693e-11   4\n",
      "Activation:  [0.00050373]\n",
      "Increment: 5    Initial Residual: 0.0819766955072056\n",
      "    Residual: 0.001690378540932141   0\n",
      "    Residual: 1.1298676442776562e-10   1\n",
      "    Residual: 2.0339264024658312e-10   2\n",
      "    Residual: 1.5020035898935816e-10   3\n",
      "    Residual: 6.548733739517986e-11   4\n",
      "Activation:  [0.00117867 0.00081373]\n",
      "Increment: 6    Initial Residual: 0.11180708176389832\n",
      "    Residual: 0.0017449635909452122   0\n",
      "    Residual: 0.0007210092864352796   1\n",
      "    Residual: 8.662244019508077e-11   2\n",
      "Activation:  [0.00149878 0.00130241 0.00058626]\n",
      "Increment: 7    Initial Residual: 0.14408544018762737\n",
      "    Residual: 0.0016249402011199383   0\n",
      "    Residual: 3.052808875373177e-10   1\n",
      "    Residual: 1.6328089409333236e-10   2\n",
      "    Residual: 1.5416029500925003e-10   3\n",
      "    Residual: 2.3141342313887426e-10   4\n",
      "Activation:  [0.00220937 0.00220937 0.0015229  0.00021182]\n",
      "Increment: 8    Initial Residual: 0.17861157328805002\n",
      "    Residual: 0.0025596791024446266   0\n",
      "    Residual: 2.2697628779651357e-10   1\n",
      "    Residual: 4.796911745264555e-11   2\n",
      "Activation:  [0.00247854 0.00247854 0.00165032 0.001312  ]\n",
      "Increment: 9    Initial Residual: 0.21447485749963907\n",
      "    Residual: 0.0023074488091559065   0\n",
      "    Residual: 9.288920774166203e-11   1\n",
      "Activation:  [0.00288327 0.00288327 0.00288226 0.00165979 0.00090933]\n",
      "Increment: 10    Initial Residual: 0.2511104925077914\n",
      "    Residual: 0.0019138254113745118   0\n",
      "    Residual: 1.6866770385747824e-10   1\n",
      "Activation:  [0.00309353 0.00309353 0.00309353 0.00274525 0.00191585 0.00052084]\n",
      "Increment: 11    Initial Residual: 0.2883177659341369\n",
      "    Residual: 0.0024733762028833757   0\n",
      "    Residual: 0.0007724251828917947   1\n",
      "    Residual: 0.0002818774474603425   2\n",
      "    Residual: 9.687075683978914e-11   3\n",
      "Activation:  [0.00308829 0.00308829 0.00308829 0.00308829 0.00190033 0.0011994 ]\n",
      "Increment: 12    Initial Residual: 0.3251730208700415\n",
      "    Residual: 0.0029611529799821556   0\n",
      "    Residual: 0.0005224908750987466   1\n",
      "    Residual: 8.757737844088134e-11   2\n",
      "Activation:  [0.00286988 0.00286988 0.00286988 0.00286988 0.00286893 0.00161581\n",
      " 0.0005427 ]\n",
      "Increment: 13    Initial Residual: 0.3615780759348\n",
      "    Residual: 0.002930474536201349   0\n",
      "    Residual: 0.00043061261294066733   1\n",
      "    Residual: 1.2442360051969564e-10   2\n",
      "Activation:  [0.00262903 0.00262903 0.00262903 0.00262903 0.00262903 0.00171354\n",
      " 0.00076354]\n",
      "Increment: 14    Initial Residual: 0.39683479665799176\n",
      "    Residual: 0.0028129134487536096   0\n",
      "    Residual: 4.3359733220970395e-10   1\n",
      "    Residual: 7.955825783035186e-11   2\n",
      "Activation:  [0.00212607 0.00212607 0.00212607 0.00212607 0.00212607 0.00212528\n",
      " 0.00075793]\n",
      "Increment: 15    Initial Residual: 0.4303340918256388\n",
      "    Residual: 0.002526965121067495   0\n",
      "    Residual: 0.0005051558744310105   1\n",
      "    Residual: 2.2809659941029136e-10   2\n",
      "Activation:  [0.00174062 0.00174062 0.00174062 0.00174062 0.00174062 0.00174062\n",
      " 0.00084526]\n",
      "Increment: 16    Initial Residual: 0.4620276591481902\n",
      "    Residual: 0.0030550640657183653   0\n",
      "    Residual: 0.00016446808061967277   1\n",
      "    Residual: 0.0003136435027109451   2\n",
      "    Residual: 9.58436971295665e-09   3\n",
      "    Residual: 7.303568730004334e-11   4\n",
      "Activation:  [0.00119067 0.00119067 0.00119067 0.00119067 0.00119067 0.00119067\n",
      " 0.00098374]\n",
      "Increment: 17    Initial Residual: 0.4913893200896138\n",
      "    Residual: 0.0018926063552454982   0\n",
      "    Residual: 0.0005667404607657476   1\n",
      "    Residual: 2.4103840560600803e-10   2\n",
      "Activation:  [0.00084574 0.00084574 0.00084574 0.00084574 0.00084574 0.00084574\n",
      " 0.00084574]\n",
      "Increment: 18    Initial Residual: 0.5181422075147597\n",
      "    Residual: 0.0029949908303169067   0\n",
      "    Residual: 0.00022864984660802496   1\n",
      "    Residual: 1.3079087482339558e-10   2\n",
      "Activation:  [0.00019452 0.00019452 0.00019452 0.00019452 0.00019452 0.00019452\n",
      " 0.00019452]\n",
      "Increment: 19    Initial Residual: 0.5423814207294099\n",
      "    Residual: 0.0027945565051851334   0\n",
      "    Residual: 0.00047947622545705786   1\n",
      "    Residual: 4.199537638112192e-10   2\n",
      "Activation:  []\n",
      "Increment: 20    Initial Residual: 0.5633650733536417\n",
      "    Residual: 0.002649769520784009   0\n",
      "    Residual: 0.00024198093327705138   1\n",
      "    Residual: 9.338464532184496e-11   2\n",
      "Activation:  []\n",
      "Increment: 21    Initial Residual: 0.581402619656594\n",
      "    Residual: 0.0028872693057905062   0\n",
      "    Residual: 0.00037330483728528443   1\n",
      "    Residual: 1.0427919213465818e-10   2\n",
      "Activation:  []\n",
      "Increment: 22    Initial Residual: 0.5960829910062492\n",
      "    Residual: 0.003290687743810669   0\n",
      "    Residual: 0.0002780872524611499   1\n",
      "    Residual: 1.4430912999925734e-10   2\n",
      "Activation:  []\n",
      "Increment: 23    Initial Residual: 0.6076869355152733\n",
      "    Residual: 0.003312544086074089   0\n",
      "    Residual: 0.0003181439528975302   1\n",
      "    Residual: 1.6226746983578508e-10   2\n",
      "Activation:  []\n",
      "Increment: 24    Initial Residual: 0.61603547427379\n",
      "    Residual: 0.0023299746205861943   0\n",
      "    Residual: 0.00027740099477317976   1\n",
      "    Residual: 9.736930359039296e-11   2\n",
      "Activation:  []\n",
      "Increment: 25    Initial Residual: 0.6214181097711751\n",
      "    Residual: 0.00245775944350527   0\n",
      "    Residual: 0.000398094554559405   1\n",
      "    Residual: 1.8694122277495723e-10   2\n",
      "Activation:  []\n",
      "Increment: 26    Initial Residual: 0.62387802028099\n",
      "    Residual: 0.003335319175537436   0\n",
      "    Residual: 0.00042072015882103914   1\n",
      "    Residual: 0.00042367743837958395   2\n",
      "    Residual: 1.885278068648301e-10   3\n",
      "Activation:  [0.00038087]\n",
      "Increment: 27    Initial Residual: 0.6237608206490739\n",
      "    Residual: 0.003537907448128324   0\n",
      "    Residual: 0.00030825184580521303   1\n",
      "    Residual: 0.00026518005337005426   2\n",
      "    Residual: 9.871736060424784e-10   3\n",
      "    Residual: 3.74895371225328e-10   4\n",
      "Activation:  [0.00075198]\n",
      "Increment: 28    Initial Residual: 0.6215000327344189\n",
      "    Residual: 0.0034369003885200092   0\n",
      "    Residual: 0.0002894424379142926   1\n",
      "    Residual: 1.8606456955838966e-10   2\n",
      "Activation:  [0.00085759]\n",
      "Increment: 29    Initial Residual: 0.6170580150539744\n",
      "    Residual: 0.0037549262473783682   0\n",
      "    Residual: 3.683667734223771e-10   1\n",
      "Activation:  [0.00150299 0.00093234]\n",
      "Increment: 30    Initial Residual: 0.6109531587932563\n",
      "    Residual: 0.0030135513517813633   0\n",
      "    Residual: 4.5588636845997724e-10   1\n",
      "Activation:  [0.00169629 0.00144066]\n",
      "Increment: 31    Initial Residual: 0.6040426673464071\n",
      "    Residual: 0.0026739581229869983   0\n",
      "    Residual: 0.0003498658958196891   1\n",
      "    Residual: 0.00020983166095853964   2\n",
      "    Residual: 7.081074565171695e-10   3\n",
      "    Residual: 1.6139148381330738e-10   4\n",
      "Activation:  [0.00180474 0.00180474]\n",
      "Increment: 32    Initial Residual: 0.5963521878580178\n",
      "    Residual: 0.004276146476183582   0\n",
      "    Residual: 3.022322122265209e-10   1\n",
      "Activation:  [0.00244451 0.00244451 0.00138363]\n",
      "Increment: 33    Initial Residual: 0.5886882392517314\n",
      "    Residual: 0.003244875768956791   0\n",
      "    Residual: 2.51771019938146e-10   1\n",
      "Activation:  [0.00270533 0.00270533 0.00203777]\n",
      "Increment: 34    Initial Residual: 0.5816595734777508\n",
      "    Residual: 0.0034665829190129796   0\n",
      "    Residual: 8.947730322214128e-10   1\n",
      "    Residual: 2.343789396304334e-10   2\n",
      "Activation:  [0.00295475 0.00295475 0.00295598 0.00099901]\n",
      "Increment: 35    Initial Residual: 0.575949948962681\n",
      "    Residual: 0.004940197381829141   0\n",
      "    Residual: 0.0001676705044619072   1\n",
      "    Residual: 0.0008944478428252819   2\n",
      "    Residual: 3.7963706060065335e-10   3\n",
      "Activation:  [0.00303501 0.00303501 0.003035   0.00174225]\n",
      "Increment: 36    Initial Residual: 0.5721469856313627\n",
      "    Residual: 0.004257543015364535   0\n",
      "    Residual: 0.0007221068299068363   1\n",
      "    Residual: 2.553838038648693e-10   2\n",
      "Activation:  [0.00361609 0.00361609 0.00361609 0.00254094 0.00084153]\n",
      "Increment: 37    Initial Residual: 0.5704300248959946\n",
      "    Residual: 0.004185813338891565   0\n",
      "    Residual: 0.0004647121831299507   1\n",
      "    Residual: 2.991529868474997e-10   2\n",
      "Activation:  [0.00364016 0.00364016 0.00364016 0.00364103 0.00198505]\n",
      "Increment: 38    Initial Residual: 0.5717918189022682\n",
      "    Residual: 0.004178962017238379   0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Residual: 0.00042868076215226884   1\n",
      "    Residual: 4.275112503262042e-10   2\n",
      "Activation:  [0.0040996  0.0040996  0.0040996  0.0040996  0.00229225 0.00020188]\n",
      "Increment: 39    Initial Residual: 0.575815527514645\n",
      "    Residual: 0.004796381830790929   0\n",
      "    Residual: 6.639700042324277e-10   1\n",
      "    Residual: 3.022053934762827e-10   2\n",
      "Activation:  [0.00400451 0.00400451 0.00400451 0.00400451 0.00349025 0.00168073]\n",
      "Increment: 40    Initial Residual: 0.5830641498370452\n",
      "    Residual: 0.004613048596890577   0\n",
      "    Residual: 0.0004892418878070727   1\n",
      "    Residual: 2.5182019252631344e-10   2\n",
      "Activation:  [0.00385925 0.00385925 0.00385925 0.00385925 0.00385965 0.00185508]\n",
      "Increment: 41    Initial Residual: 0.592867830946109\n",
      "    Residual: 0.0045871429258961096   0\n",
      "    Residual: 0.00048210773410985495   1\n",
      "    Residual: 2.4745036170895464e-10   2\n",
      "Activation:  [0.00369372 0.00369372 0.00369372 0.00369372 0.00369372 0.00261092]\n",
      "Increment: 42    Initial Residual: 0.6046834809236078\n",
      "    Residual: 0.004624013631392349   0\n",
      "    Residual: 0.0006147069673683863   1\n",
      "    Residual: 3.7234132870774723e-10   2\n",
      "Activation:  [0.00330359 0.00330359 0.00330359 0.00330359 0.00330359 0.00322416\n",
      " 0.00111216]\n",
      "Increment: 43    Initial Residual: 0.6190057127256415\n",
      "    Residual: 0.004384370517423691   0\n",
      "    Residual: 0.00030829004544020956   1\n",
      "    Residual: 2.689187258926933e-10   2\n",
      "Activation:  [0.00276109 0.00276109 0.00276109 0.00276109 0.00276109 0.00276117\n",
      " 0.00102399]\n",
      "Increment: 44    Initial Residual: 0.6344984266838414\n",
      "    Residual: 0.003995440512901139   0\n",
      "    Residual: 0.00026795822374884795   1\n",
      "    Residual: 2.3204738886313935e-10   2\n",
      "Activation:  [0.00229466 0.00229466 0.00229466 0.00229466 0.00229466 0.00229466\n",
      " 0.0011642 ]\n",
      "Increment: 45    Initial Residual: 0.6504977547128892\n",
      "    Residual: 0.0038457109107101414   0\n",
      "    Residual: 0.00043839525372382505   1\n",
      "    Residual: 3.002770958710577e-10   2\n",
      "Activation:  [0.0019395  0.0019395  0.0019395  0.0019395  0.0019395  0.0019395\n",
      " 0.00143774]\n",
      "Increment: 46    Initial Residual: 0.6669135206219449\n",
      "    Residual: 0.003189631531042752   0\n",
      "    Residual: 0.0002068510056551529   1\n",
      "    Residual: 1.8933436240164794e-10   2\n",
      "Activation:  [0.00147772 0.00147772 0.00147772 0.00147772 0.00147772 0.00147772\n",
      " 0.00146368]\n",
      "Increment: 47    Initial Residual: 0.6830688219092642\n",
      "    Residual: 0.003355873883018298   0\n",
      "    Residual: 0.0005860153048694747   1\n",
      "    Residual: 2.5590303971199997e-10   2\n",
      "Activation:  [0.00085975 0.00085975 0.00085975 0.00085975 0.00085975 0.00085975\n",
      " 0.00085975]\n",
      "Increment: 48    Initial Residual: 0.6982479378151146\n",
      "    Residual: 0.0034363519130272227   0\n",
      "    Residual: 5.907297417556744e-10   1\n",
      "Activation:  [0.00030434 0.00030434 0.00030434 0.00030434 0.00030434 0.00030434\n",
      " 0.00030434]\n",
      "Increment: 49    Initial Residual: 0.7123278595442405\n",
      "    Residual: 0.002695730223207623   0\n",
      "    Residual: 0.00014829628103257   1\n",
      "    Residual: 2.342365285853187e-10   2\n",
      "Activation:  []\n",
      "Increment: 50    Initial Residual: 0.7246883727444583\n",
      "    Residual: 0.0028339946998615206   0\n",
      "    Residual: 9.559173237509725e-06   1\n",
      "    Residual: 2.0264797810117182e-10   2\n",
      "Activation:  []\n",
      "Increment: 51    Initial Residual: 0.7350265164444458\n",
      "    Residual: 0.003927917484832625   0\n",
      "    Residual: 0.00030113460878163664   1\n",
      "    Residual: 3.451270130537711e-10   2\n",
      "Activation:  []\n",
      "Increment: 52    Initial Residual: 0.7432726343308594\n",
      "    Residual: 0.0030847743974690882   0\n",
      "    Residual: 0.00018198113606981043   1\n",
      "    Residual: 1.7753231485461066e-10   2\n",
      "Activation:  []\n",
      "Increment: 53    Initial Residual: 0.749103554328828\n",
      "    Residual: 0.004100119303774294   0\n",
      "    Residual: 6.226104602910851e-05   1\n",
      "    Residual: 2.855630680721262e-10   2\n",
      "Activation:  []\n",
      "Increment: 54    Initial Residual: 0.7525353841191698\n",
      "    Residual: 0.003715269373631353   0\n",
      "    Residual: 4.8477654481450436e-05   1\n",
      "    Residual: 2.9475454219567954e-10   2\n",
      "Activation:  []\n",
      "Increment: 55    Initial Residual: 0.7534111112015339\n",
      "    Residual: 0.0035695719884788397   0\n",
      "    Residual: 0.00039238519386308154   1\n",
      "    Residual: 3.4279761885919044e-10   2\n",
      "Activation:  []\n",
      "Increment: 56    Initial Residual: 0.7522445662995451\n",
      "    Residual: 0.003625441015267604   0\n",
      "    Residual: 0.00021449569975406097   1\n",
      "    Residual: 3.782834878318841e-10   2\n",
      "Activation:  [0.00035457]\n",
      "Increment: 57    Initial Residual: 0.7489406834053731\n",
      "    Residual: 0.003448242661542722   0\n",
      "    Residual: 3.9250340599473433e-10   1\n",
      "Activation:  [0.00066107]\n",
      "Increment: 58    Initial Residual: 0.7437004685698382\n",
      "    Residual: 0.0045523399994735776   0\n",
      "    Residual: 0.00038077972131870104   1\n",
      "    Residual: 7.295642355627607e-10   2\n",
      "Activation:  [0.00090969]\n",
      "Increment: 59    Initial Residual: 0.7366415510076052\n",
      "    Residual: 0.003908952083934796   0\n",
      "    Residual: 0.00011490223132292631   1\n",
      "    Residual: 4.1809766468516345e-10   2\n",
      "Activation:  [0.00122921 0.00084218]\n",
      "Increment: 60    Initial Residual: 0.7282579063385308\n",
      "    Residual: 0.003574858145368558   0\n",
      "    Residual: 0.0005569539730170579   1\n",
      "    Residual: 0.0004579950631546582   2\n",
      "    Residual: 6.058971203696605e-09   3\n",
      "    Residual: 3.594966895049656e-10   4\n",
      "Activation:  [0.00131585 0.00082408]\n",
      "Increment: 61    Initial Residual: 0.7186850922633654\n",
      "    Residual: 0.004382791914937788   0\n",
      "    Residual: 0.00017790079735508215   1\n",
      "    Residual: 3.3531487831709513e-10   2\n",
      "Activation:  [0.0018588  0.00185716]\n",
      "Increment: 62    Initial Residual: 0.708868590186966\n",
      "    Residual: 0.00466273742985455   0\n",
      "    Residual: 4.1277670543639485e-10   1\n",
      "Activation:  [0.00239487 0.00239487 0.00140749]\n",
      "Increment: 63    Initial Residual: 0.6986097194137426\n",
      "    Residual: 0.0040151777556475055   0\n",
      "    Residual: 4.62813232891636e-05   1\n",
      "    Residual: 2.651160978141443e-10   2\n",
      "Activation:  [0.00216764 0.00216764 0.00139071]\n",
      "Increment: 64    Initial Residual: 0.6886582343251042\n",
      "    Residual: 0.0048219666875803854   0\n",
      "    Residual: 0.00038962559564088   1\n",
      "    Residual: 2.2487238085573235e-10   2\n",
      "Activation:  [0.00290052 0.00290052 0.00267154 0.00096178]\n",
      "Increment: 65    Initial Residual: 0.6798714735961968\n",
      "    Residual: 0.004282550463478142   0\n",
      "    Residual: 1.0278748364020894e-09   1\n",
      "    Residual: 2.666273772907203e-10   2\n",
      "Activation:  [0.00297462 0.00297462 0.00297443 0.00173071]\n",
      "Increment: 66    Initial Residual: 0.6724895792389672\n",
      "    Residual: 0.005247076797526307   0\n",
      "    Residual: 0.000633927331439786   1\n",
      "    Residual: 1.9664268887409572e-10   2\n",
      "Activation:  [0.00381329 0.00381329 0.00381329 0.00247835 0.00103247]\n",
      "Increment: 67    Initial Residual: 0.6668981201188626\n",
      "    Residual: 0.005983596768475545   0\n",
      "    Residual: 0.00039510175327016074   1\n",
      "    Residual: 3.1056533888202235e-10   2\n",
      "Activation:  [0.00340297 0.00340297 0.00340297 0.00340213 0.00221201]\n",
      "Increment: 68    Initial Residual: 0.6637759974053387\n",
      "    Residual: 0.0053205754429115825   0\n",
      "    Residual: 0.0008876499821503488   1\n",
      "    Residual: 0.0004316504710176743   2\n",
      "    Residual: 1.5017224646377327e-08   3\n",
      "    Residual: 2.9359734109353907e-10   4\n",
      "Activation:  [3.74881911e-03 3.74881911e-03 3.74881911e-03 3.74881911e-03\n",
      " 1.84934534e-03 9.87751414e-05]\n",
      "Increment: 69    Initial Residual: 0.6633268303324253\n",
      "    Residual: 0.006158475704133416   0\n",
      "    Residual: 0.0004056449734935027   1\n",
      "    Residual: 2.9212021725134755e-10   2\n",
      "Activation:  [0.00387027 0.00387027 0.00387027 0.00387027 0.00328474 0.00145946]\n",
      "Increment: 70    Initial Residual: 0.6649729873501488\n",
      "    Residual: 0.004834064115038672   0\n",
      "    Residual: 6.575260213801615e-10   1\n",
      "Activation:  [0.00399542 0.00399542 0.00399542 0.00399542 0.0039947  0.00233201\n",
      " 0.0001566 ]\n",
      "Increment: 71    Initial Residual: 0.6698731690982827\n",
      "    Residual: 0.0056914223729376875   0\n",
      "    Residual: 8.85141891213956e-05   1\n",
      "    Residual: 3.139668311608638e-10   2\n",
      "Activation:  [0.00314327 0.00314327 0.00314327 0.00314327 0.00314327 0.00201036]\n",
      "Increment: 72    Initial Residual: 0.6767765585859016\n",
      "    Residual: 0.0062082509673520025   0\n",
      "    Residual: 0.0005379844524883128   1\n",
      "    Residual: 2.923399775897957e-10   2\n",
      "Activation:  [0.00305527 0.00305527 0.00305527 0.00305527 0.00305527 0.00270563\n",
      " 0.0003362 ]\n",
      "Increment: 73    Initial Residual: 0.684946165535101\n",
      "    Residual: 0.006223659697632278   0\n",
      "    Residual: 0.0009456134634746523   1\n",
      "    Residual: 9.841145631955853e-10   2\n",
      "    Residual: 3.138262092107546e-10   3\n",
      "Activation:  [0.00289733 0.00289733 0.00289733 0.00289733 0.00289733 0.00289708\n",
      " 0.00184842 0.00025621]\n",
      "Increment: 74    Initial Residual: 0.6955305636165281\n",
      "    Residual: 0.005928904578288762   0\n",
      "    Residual: 0.0005762762018156874   1\n",
      "    Residual: 2.9393574415765395e-10   2\n",
      "Activation:  [0.00269686 0.00269686 0.00269686 0.00269686 0.00269686 0.00269686\n",
      " 0.00126267]\n",
      "Increment: 75    Initial Residual: 0.7070000702794417\n",
      "    Residual: 0.0056675325452329155   0\n",
      "    Residual: 0.0009051650576004398   1\n",
      "    Residual: 2.8136330173467474e-10   2\n",
      "Activation:  [0.00206763 0.00206763 0.00206763 0.00206763 0.00206763 0.00206763\n",
      " 0.00160712]\n",
      "Increment: 76    Initial Residual: 0.7186789952985772\n",
      "    Residual: 0.00688775394560098   0\n",
      "    Residual: 0.00033092644601330777   1\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Residual: 3.005640390263054e-10   2\n",
      "Activation:  [0.0013584  0.0013584  0.0013584  0.0013584  0.0013584  0.0013584\n",
      " 0.00117627]\n",
      "Increment: 77    Initial Residual: 0.7311851567976718\n",
      "    Residual: 0.005713786671337698   0\n",
      "    Residual: 0.0008693363320861935   1\n",
      "    Residual: 3.2114068339643045e-10   2\n",
      "Activation:  [0.00074486 0.00074486 0.00074486 0.00074486 0.00074486 0.00074486\n",
      " 0.0007446 ]\n",
      "Increment: 78    Initial Residual: 0.7423775246117214\n",
      "    Residual: 0.005748867566712555   0\n",
      "    Residual: 0.0006690877024953869   1\n",
      "    Residual: 4.677990559010859e-10   2\n",
      "Activation:  [0.00012586 0.00012586 0.00012586 0.00012586 0.00012586 0.00012586\n",
      " 0.00012561]\n",
      "Increment: 79    Initial Residual: 0.753362682535267\n",
      "    Residual: 0.005921810125125122   0\n",
      "    Residual: 0.000882037456149161   1\n",
      "    Residual: 2.7323520507649076e-10   2\n",
      "Activation:  []\n",
      "Increment: 80    Initial Residual: 0.7626279927432049\n",
      "    Residual: 0.005668497306068827   0\n",
      "    Residual: 0.0005369496855427508   1\n",
      "    Residual: 3.0899371647838206e-10   2\n",
      "Activation:  []\n",
      "Increment: 81    Initial Residual: 0.7701207956354597\n",
      "    Residual: 0.005425930975836204   0\n",
      "    Residual: 0.0006143204579973338   1\n",
      "    Residual: 3.132930674852465e-10   2\n",
      "Activation:  []\n",
      "Increment: 82    Initial Residual: 0.7761778834425915\n",
      "    Residual: 0.0053656132056014395   0\n",
      "    Residual: 0.0002893714440584668   1\n",
      "    Residual: 2.998090094648422e-10   2\n",
      "Activation:  []\n",
      "Increment: 83    Initial Residual: 0.7801765711187474\n",
      "    Residual: 0.0060889556100703875   0\n",
      "    Residual: 0.0007973712653215256   1\n",
      "    Residual: 4.5154346433870896e-10   2\n",
      "Activation:  []\n",
      "Increment: 84    Initial Residual: 0.782300858273418\n",
      "    Residual: 0.005972890632156911   0\n",
      "    Residual: 0.0008168312954636299   1\n",
      "    Residual: 0.0006654458457376572   2\n",
      "    Residual: 3.5588659120639144e-09   3\n",
      "    Residual: 3.0913748237288647e-10   4\n",
      "Activation:  []\n",
      "Increment: 85    Initial Residual: 0.7821616020059993\n",
      "    Residual: 0.004867565783610698   0\n",
      "    Residual: 4.345816666050633e-06   1\n",
      "    Residual: 3.736165436768754e-10   2\n",
      "Activation:  [0.00038934]\n",
      "Increment: 86    Initial Residual: 0.7800415170633125\n",
      "    Residual: 0.004433767776791459   0\n",
      "    Residual: 0.0003945550751514978   1\n",
      "    Residual: 4.282875789632136e-10   2\n",
      "Activation:  [0.00043792]\n",
      "Increment: 87    Initial Residual: 0.7760983565354885\n",
      "    Residual: 0.004495602948842084   0\n",
      "    Residual: 0.00028929214184271175   1\n",
      "    Residual: 3.233632250502886e-10   2\n",
      "Activation:  [0.00055636]\n",
      "Increment: 88    Initial Residual: 0.7705964202339467\n",
      "    Residual: 0.004855639409048922   0\n",
      "    Residual: 0.00047688182091162136   1\n",
      "    Residual: 0.00015372760343393833   2\n",
      "    Residual: 3.0987379792831334e-10   3\n",
      "Activation:  [0.00087626]\n",
      "Increment: 89    Initial Residual: 0.7630278883337476\n",
      "    Residual: 0.00516286735247652   0\n",
      "    Residual: 0.00038732160542018495   1\n",
      "    Residual: 5.001803759136141e-10   2\n",
      "Activation:  [0.00129843 0.0010814 ]\n",
      "Increment: 90    Initial Residual: 0.7544851326994108\n",
      "    Residual: 0.0054883662850088   0\n",
      "    Residual: 0.0006347985394105398   1\n",
      "    Residual: 0.00019774920412990012   2\n",
      "    Residual: 5.048430775326328e-10   3\n",
      "Activation:  [0.00134388 0.00096935]\n",
      "Increment: 91    Initial Residual: 0.7446063837047189\n",
      "    Residual: 0.004699277169801533   0\n",
      "    Residual: 0.0004902901516550802   1\n",
      "    Residual: 4.432327020639507e-10   2\n",
      "Activation:  [0.00180584 0.00180584]\n",
      "Increment: 92    Initial Residual: 0.7345114499544064\n",
      "    Residual: 0.005202429571330572   0\n",
      "    Residual: 0.0009968945353523318   1\n",
      "    Residual: 7.22881180575111e-09   2\n",
      "    Residual: 4.345582740864562e-10   3\n",
      "Activation:  [0.00205275 0.00205275 0.00144857]\n",
      "Increment: 93    Initial Residual: 0.7241173594202422\n",
      "    Residual: 0.005216255082407813   0\n",
      "    Residual: 0.0006276167889783733   1\n",
      "    Residual: 1.8643993582816724e-09   2\n",
      "    Residual: 4.3485157149960366e-10   3\n",
      "Activation:  [0.00211171 0.00211171 0.00146318]\n",
      "Increment: 94    Initial Residual: 0.7141720653869155\n",
      "    Residual: 0.004850025002427516   0\n",
      "    Residual: 0.0003317135522820009   1\n",
      "    Residual: 4.698468529386164e-10   2\n",
      "Activation:  [0.00275154 0.00275154 0.00250952 0.0008202 ]\n",
      "Increment: 95    Initial Residual: 0.7053689298649392\n",
      "    Residual: 0.004553040206689358   0\n",
      "    Residual: 4.702813807378761e-05   1\n",
      "    Residual: 3.077238752222629e-10   2\n",
      "Activation:  [0.00307807 0.00307807 0.00307828 0.00182093]\n",
      "Increment: 96    Initial Residual: 0.6974576677118935\n",
      "    Residual: 0.005632703924376267   0\n",
      "    Residual: 0.0001567767843297642   1\n",
      "    Residual: 3.6181306137011007e-10   2\n",
      "Activation:  [0.0038563  0.0038563  0.0038563  0.00259907 0.00153578]\n",
      "Increment: 97    Initial Residual: 0.6919288395414718\n",
      "    Residual: 0.005558303223975431   0\n",
      "    Residual: 0.0002306644862703083   1\n",
      "    Residual: 4.1614593542408174e-10   2\n",
      "Activation:  [0.00394521 0.00394521 0.00394521 0.00394616 0.00205143]\n",
      "Increment: 98    Initial Residual: 0.6881967892712163\n",
      "    Residual: 0.0055463999875320445   0\n",
      "    Residual: 0.0005527847178950373   1\n",
      "    Residual: 4.08285603348255e-10   2\n",
      "Activation:  [0.00414905 0.00414905 0.00414905 0.00414905 0.00229925 0.00066146]\n",
      "Increment: 99    Initial Residual: 0.6866677665500109\n",
      "    Residual: 0.006426421264803599   0\n",
      "    Residual: 0.0005433376665096006   1\n",
      "    Residual: 9.551120205198594e-10   2\n",
      "    Residual: 3.366257586140752e-10   3\n",
      "Activation:  [0.00377608 0.00377608 0.00377608 0.00377608 0.00316366 0.00198306]\n",
      "Increment: 100    Initial Residual: 0.6881577649684978\n",
      "    Residual: 0.005937292283696245   0\n",
      "    Residual: 0.0008929965557524628   1\n",
      "    Residual: 6.85437428215502e-09   2\n",
      "    Residual: 3.4573766795899274e-10   3\n",
      "Activation:  [0.00349996 0.00349996 0.00349996 0.00349996 0.00349996 0.00157767]\n",
      "Increment: 101    Initial Residual: 0.6916257408218558\n",
      "    Residual: 0.005304045234413496   0\n",
      "    Residual: 0.00025623134154204827   1\n",
      "    Residual: 3.348527269615086e-10   2\n",
      "Activation:  [0.00349232 0.00349232 0.00349232 0.00349232 0.00349232 0.00210261\n",
      " 0.00029232]\n",
      "Increment: 102    Initial Residual: 0.6972848279947426\n",
      "    Residual: 0.00501171866506162   0\n",
      "    Residual: 0.0002779289110932529   1\n",
      "    Residual: 3.385196160102033e-10   2\n",
      "Activation:  [0.00330461 0.00330461 0.00330461 0.00330461 0.00330461 0.00289543\n",
      " 0.00108138]\n",
      "Increment: 103    Initial Residual: 0.705281249049246\n",
      "    Residual: 0.005881046498617856   0\n",
      "    Residual: 0.0007573842978910114   1\n",
      "    Residual: 3.065907848768565e-10   2\n",
      "Activation:  [0.00310464 0.00310464 0.00310464 0.00310464 0.00310464 0.00310464\n",
      " 0.00127532]\n",
      "Increment: 104    Initial Residual: 0.714134490880441\n",
      "    Residual: 0.005305261779808889   0\n",
      "    Residual: 0.0005853502449128411   1\n",
      "    Residual: 7.70970290899512e-10   2\n",
      "    Residual: 3.424866415501433e-10   3\n",
      "Activation:  [0.00275855 0.00275855 0.00275855 0.00275855 0.00275855 0.00275855\n",
      " 0.00136455]\n",
      "Increment: 105    Initial Residual: 0.724622677287493\n",
      "    Residual: 0.005155814355355137   0\n",
      "    Residual: 0.000314749101822041   1\n",
      "    Residual: 3.6040748994819785e-10   2\n",
      "Activation:  [0.00209525 0.00209525 0.00209525 0.00209525 0.00209525 0.00209525\n",
      " 0.00141569]\n",
      "Increment: 106    Initial Residual: 0.7356910508780888\n",
      "    Residual: 0.006137518204747013   0\n",
      "    Residual: 0.00027602859602460407   1\n",
      "    Residual: 3.9668734767743564e-10   2\n",
      "Activation:  [0.00127289 0.00127289 0.00127289 0.00127289 0.00127289 0.00127289\n",
      " 0.0011455 ]\n",
      "Increment: 107    Initial Residual: 0.7469589624562222\n",
      "    Residual: 0.005532488796749194   0\n",
      "    Residual: 0.00033338951361948393   1\n",
      "    Residual: 4.3423718905262595e-10   2\n",
      "Activation:  [0.00060202 0.00060202 0.00060202 0.00060202 0.00060202 0.00060202\n",
      " 0.00060235]\n",
      "Increment: 108    Initial Residual: 0.7575740108638672\n",
      "    Residual: 0.004960327212168027   0\n",
      "    Residual: 0.00012341157101056893   1\n",
      "    Residual: 3.651525331869613e-10   2\n",
      "Activation:  [0.00020633 0.00020633 0.00020633 0.00020633 0.00020633 0.00020633\n",
      " 0.00020633]\n",
      "Increment: 109    Initial Residual: 0.7675561632124999\n",
      "    Residual: 0.005229229134377977   0\n",
      "    Residual: 0.00017461455598991976   1\n",
      "    Residual: 4.134688597789338e-10   2\n",
      "Activation:  []\n",
      "Increment: 110    Initial Residual: 0.7764537842614448\n",
      "    Residual: 0.0055273637036957505   0\n",
      "    Residual: 0.0004734756804132073   1\n",
      "    Residual: 3.443805651559127e-10   2\n",
      "Activation:  []\n",
      "Increment: 111    Initial Residual: 0.7836996020323831\n",
      "    Residual: 0.00508229962679422   0\n",
      "    Residual: 0.00011919171872860886   1\n",
      "    Residual: 3.777167356295472e-10   2\n",
      "Activation:  []\n",
      "Increment: 112    Initial Residual: 0.789162756956917\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Residual: 0.004730677978858924   0\n",
      "    Residual: 0.0005806247166715842   1\n",
      "    Residual: 4.775581213215005e-10   2\n",
      "Activation:  []\n",
      "Increment: 113    Initial Residual: 0.7931000261036063\n",
      "    Residual: 0.004818836605225421   0\n",
      "    Residual: 0.00031470667141415685   1\n",
      "    Residual: 3.204825332610642e-10   2\n",
      "Activation:  []\n",
      "Increment: 114    Initial Residual: 0.7946184651843397\n",
      "    Residual: 0.00513688146810335   0\n",
      "    Residual: 0.00021912271456024952   1\n",
      "    Residual: 3.364390314250638e-10   2\n",
      "Activation:  []\n",
      "Increment: 115    Initial Residual: 0.7942780831604347\n",
      "    Residual: 0.004927796001263856   0\n",
      "    Residual: 0.00014403695448491407   1\n",
      "    Residual: 3.088500012283585e-10   2\n",
      "Activation:  []\n",
      "Increment: 116    Initial Residual: 0.7917736882823531\n",
      "    Residual: 0.004700924130097917   0\n",
      "    Residual: 0.0004919565986805882   1\n",
      "    Residual: 4.4441086510729556e-10   2\n",
      "Activation:  [0.00049241]\n",
      "Increment: 117    Initial Residual: 0.7876849979864666\n",
      "    Residual: 0.0045301932190407205   0\n",
      "    Residual: 0.00017646142000730643   1\n",
      "    Residual: 3.552217975303538e-10   2\n",
      "Activation:  [0.00055339]\n",
      "Increment: 118    Initial Residual: 0.7815073523014693\n",
      "    Residual: 0.004840472510674734   0\n",
      "    Residual: 0.0003738795119461174   1\n",
      "    Residual: 4.1116738371501216e-10   2\n",
      "Activation:  [0.00087384]\n",
      "Increment: 119    Initial Residual: 0.7740664771095499\n",
      "    Residual: 0.005125478133967519   0\n",
      "    Residual: 0.0005559856701383909   1\n",
      "    Residual: 5.052278742474082e-10   2\n",
      "Activation:  [0.00126291 0.00109214]\n",
      "Increment: 120    Initial Residual: 0.7653223403626714\n",
      "    Residual: 0.004321351757382056   0\n",
      "    Residual: 0.00057848393369317   1\n",
      "    Residual: 3.326589593408071e-10   2\n",
      "Activation:  [0.00141076 0.00087275]\n",
      "Increment: 121    Initial Residual: 0.7553226080711966\n",
      "    Residual: 0.004553881117831958   0\n",
      "    Residual: 0.0002719941116221622   1\n",
      "    Residual: 5.794447277423804e-10   2\n",
      "Activation:  [0.00159234 0.00159115]\n",
      "Increment: 122    Initial Residual: 0.7457035861861075\n",
      "    Residual: 0.005281792164344583   0\n",
      "    Residual: 0.0001312623744381463   1\n",
      "    Residual: 3.173478830440998e-10   2\n",
      "Activation:  [0.00088695 0.00088695]\n",
      "Increment: 123    Initial Residual: 0.7357978887792846\n",
      "    Residual: 0.005530309438210035   0\n",
      "    Residual: 0.00023303165309653367   1\n",
      "    Residual: 4.2522712345127124e-10   2\n",
      "Activation:  [0.00031396 0.00031396]\n",
      "Increment: 124    Initial Residual: 0.7259480333042504\n",
      "    Residual: 0.0048689662070450545   0\n",
      "    Residual: 0.0001068051144746101   1\n",
      "    Residual: 4.1639045071417563e-10   2\n",
      "Activation:  [0.0001011 0.0001011]\n",
      "Increment: 125    Initial Residual: 0.7163568331884506\n",
      "    Residual: 0.0051410646474012636   0\n",
      "    Residual: 0.0006505268019714046   1\n",
      "    Residual: 2.7191341957065724e-09   2\n",
      "    Residual: 4.007680903970529e-10   3\n",
      "Activation:  []\n",
      "Increment: 126    Initial Residual: 0.7073758349188151\n",
      "    Residual: 0.0058298643166009995   0\n",
      "    Residual: 0.000340243475326448   1\n",
      "    Residual: 3.269254263391049e-10   2\n",
      "Activation:  [7.98514231e-05 7.98514231e-05]\n",
      "Increment: 127    Initial Residual: 0.6977417141218022\n",
      "    Residual: 0.00526225599005597   0\n",
      "    Residual: 0.0008847067198716163   1\n",
      "    Residual: 0.0004149804919508553   2\n",
      "    Residual: 4.3965291316008607e-10   3\n",
      "Activation:  [3.90594993e-06 3.90594993e-06]\n",
      "Increment: 128    Initial Residual: 0.6887098219546464\n",
      "    Residual: 0.005148662854785892   0\n",
      "    Residual: 0.0005826199702007911   1\n",
      "    Residual: 3.3634184200080492e-09   2\n",
      "    Residual: 4.13735513996156e-10   3\n",
      "Activation:  [4.35284747e-06 4.35284747e-06]\n",
      "Increment: 129    Initial Residual: 0.6800015098991854\n",
      "    Residual: 0.005711330300268637   0\n",
      "    Residual: 0.0006215606003310197   1\n",
      "    Residual: 9.927837321386542e-10   2\n",
      "    Residual: 2.680750792129688e-10   3\n",
      "Activation:  []\n",
      "Increment: 130    Initial Residual: 0.6711261337938509\n",
      "    Residual: 0.0051023335287989574   0\n",
      "    Residual: 4.0914822252670616e-05   1\n",
      "    Residual: 4.598236985201072e-10   2\n",
      "Activation:  []\n",
      "Increment: 131    Initial Residual: 0.6629342930389464\n",
      "    Residual: 0.004559770875191886   0\n",
      "    Residual: 7.767406769827262e-05   1\n",
      "    Residual: 2.5095488949229347e-05   2\n",
      "    Residual: 7.09221674931312e-10   3\n",
      "    Residual: 3.2345440442896065e-10   4\n",
      "Activation:  []\n",
      "Increment: 132    Initial Residual: 0.6545063732051687\n",
      "    Residual: 0.005435031252118615   0\n",
      "    Residual: 8.8196411770572e-05   1\n",
      "    Residual: 3.0165223222579827e-10   2\n",
      "Activation:  []\n",
      "Increment: 133    Initial Residual: 0.6464115962983761\n",
      "    Residual: 0.005088224116036211   0\n",
      "    Residual: 0.0002714485293792678   1\n",
      "    Residual: 3.2433493176654976e-10   2\n",
      "Activation:  []\n",
      "Increment: 134    Initial Residual: 0.6380738702517756\n",
      "    Residual: 0.004597269316811142   0\n",
      "    Residual: 0.00040658648035497955   1\n",
      "    Residual: 4.46985963601454e-10   2\n",
      "Activation:  [7.93200186e-05 7.93200186e-05]\n",
      "Increment: 135    Initial Residual: 0.629983207337672\n",
      "    Residual: 0.004471695917242913   0\n",
      "    Residual: 5.7287449570829534e-05   1\n",
      "    Residual: 3.1324503033011084e-10   2\n",
      "Activation:  []\n",
      "Increment: 136    Initial Residual: 0.6222778706574416\n",
      "    Residual: 0.005513644464385617   0\n",
      "    Residual: 0.0002673936051915111   1\n",
      "    Residual: 3.231710679384995e-10   2\n",
      "Activation:  []\n",
      "Increment: 137    Initial Residual: 0.61455230373773\n",
      "    Residual: 0.004443601545237385   0\n",
      "    Residual: 0.00017023990471931895   1\n",
      "    Residual: 1.0048483905270923e-09   2\n",
      "    Residual: 3.46986059333139e-10   3\n",
      "Activation:  []\n",
      "Increment: 138    Initial Residual: 0.6070098385224074\n",
      "    Residual: 0.004566378743801793   0\n",
      "    Residual: 0.0006520202495493744   1\n",
      "    Residual: 0.00012229490694796582   2\n",
      "    Residual: 7.184392444508033e-10   3\n",
      "    Residual: 3.975587353972677e-10   4\n",
      "Activation:  []\n",
      "Increment: 139    Initial Residual: 0.5992760464553194\n",
      "    Residual: 0.004804774899667949   0\n",
      "    Residual: 0.00028653961628628946   1\n",
      "    Residual: 3.897707376593827e-10   2\n",
      "Activation:  []\n",
      "Increment: 140    Initial Residual: 0.5919023268178168\n",
      "    Residual: 0.004099414878991401   0\n",
      "    Residual: 0.00023136067506657402   1\n",
      "    Residual: 8.486942414841127e-10   2\n",
      "    Residual: 3.1050049896987953e-10   3\n",
      "Activation:  [2.75171659e-05 2.75171659e-05]\n",
      "Increment: 141    Initial Residual: 0.5835119805254153\n",
      "    Residual: 0.004685998387058244   0\n",
      "    Residual: 0.0007082980600064265   1\n",
      "    Residual: 0.0002150493817473169   2\n",
      "    Residual: 3.4121034683436326e-10   3\n",
      "Activation:  []\n",
      "Increment: 142    Initial Residual: 0.5755026041621688\n",
      "    Residual: 0.003905816268933633   0\n",
      "    Residual: 0.00016717212475543823   1\n",
      "    Residual: 0.0002471575123370993   2\n",
      "    Residual: 5.235986786521526e-08   3\n",
      "    Residual: 5.50737826911704e-10   4\n",
      "Activation:  []\n",
      "Increment: 143    Initial Residual: 0.5679661655171692\n",
      "    Residual: 0.004315241848904518   0\n",
      "    Residual: 0.0001433457760417231   1\n",
      "    Residual: 3.6236046195062295e-10   2\n",
      "Activation:  []\n",
      "Increment: 144    Initial Residual: 0.5598145948560482\n",
      "    Residual: 0.00393298012722148   0\n",
      "    Residual: 0.0004330935752768224   1\n",
      "    Residual: 4.415915175494389e-10   2\n",
      "Activation:  []\n",
      "Increment: 145    Initial Residual: 0.552207903573777\n",
      "    Residual: 0.0035808384507107975   0\n",
      "    Residual: 0.00020372715119818685   1\n",
      "    Residual: 3.653849424529831e-10   2\n",
      "Activation:  []\n",
      "Increment: 146    Initial Residual: 0.5448741090605029\n",
      "    Residual: 0.003948577983582282   0\n",
      "    Residual: 0.0007429354351905946   1\n",
      "    Residual: 0.00030749127224622823   2\n",
      "    Residual: 2.5999218358705817e-10   3\n",
      "Activation:  []\n",
      "Increment: 147    Initial Residual: 0.537491676298499\n",
      "    Residual: 0.0034692808144589737   0\n",
      "    Residual: 0.00014509423293382844   1\n",
      "    Residual: 3.035775636971237e-10   2\n",
      "Activation:  []\n",
      "Increment: 148    Initial Residual: 0.529452786239636\n",
      "    Residual: 0.003837400934086352   0\n",
      "    Residual: 0.00039362931088600037   1\n",
      "    Residual: 3.4679774996674516e-10   2\n",
      "Activation:  []\n",
      "Increment: 149    Initial Residual: 0.521918527116735\n",
      "    Residual: 0.003335037266486258   0\n",
      "    Residual: 0.0002867914471287124   1\n",
      "    Residual: 4.758275833373669e-10   2\n",
      "Activation:  []\n",
      "Increment: 150    Initial Residual: 0.5131076791839138\n",
      "    Residual: 0.0035769559565347712   0\n",
      "    Residual: 0.000251659038324127   1\n",
      "    Residual: 4.4793885342899855e-10   2\n",
      "Activation:  []\n",
      "Increment: 151    Initial Residual: 0.503813381271538\n",
      "    Residual: 0.003378011819272371   0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Residual: 0.00024838930946373893   1\n",
      "    Residual: 3.810822943398953e-10   2\n",
      "Activation:  [0.00014241 0.00014241]\n",
      "Increment: 152    Initial Residual: 0.4947646959573732\n",
      "    Residual: 0.003476359208283665   0\n",
      "    Residual: 0.00020179635738816685   1\n",
      "    Residual: 3.2712739372059847e-10   2\n",
      "Activation:  []\n",
      "Increment: 153    Initial Residual: 0.4847840749054641\n",
      "    Residual: 0.003576633176369658   0\n",
      "    Residual: 1.4299591355246921e-07   1\n",
      "    Residual: 3.1126545004504536e-10   2\n",
      "Activation:  []\n",
      "Increment: 154    Initial Residual: 0.4751790650369232\n",
      "    Residual: 0.0031719747051330684   0\n",
      "    Residual: 0.0002862966994430942   1\n",
      "    Residual: 2.361497625700164e-10   2\n",
      "Activation:  []\n",
      "Increment: 155    Initial Residual: 0.46620834540997236\n",
      "    Residual: 0.003284832417358329   0\n",
      "    Residual: 0.00033049819091286546   1\n",
      "    Residual: 4.147897721800069e-05   2\n",
      "    Residual: 3.4440854422870395e-10   3\n",
      "Activation:  []\n",
      "Increment: 156    Initial Residual: 0.456903225019241\n",
      "    Residual: 0.0032926460099126816   0\n",
      "    Residual: 7.081402881138792e-05   1\n",
      "    Residual: 3.6730268171860184e-10   2\n",
      "Activation:  []\n",
      "Increment: 157    Initial Residual: 0.44837913461700424\n",
      "    Residual: 0.0033416260915134356   0\n",
      "    Residual: 0.0003018593677529523   1\n",
      "    Residual: 2.9175667198279555e-10   2\n",
      "Activation:  []\n",
      "Increment: 158    Initial Residual: 0.44099182364133976\n",
      "    Residual: 0.0028547827737114974   0\n",
      "    Residual: 0.00030470342526329254   1\n",
      "    Residual: 3.2651243189141585e-10   2\n",
      "Activation:  []\n",
      "Increment: 159    Initial Residual: 0.434775217023974\n",
      "    Residual: 0.0036798448723330186   0\n",
      "    Residual: 0.00015119837123690744   1\n",
      "    Residual: 3.619276205937779e-10   2\n",
      "Activation:  []\n",
      "Increment: 160    Initial Residual: 0.4287989297013872\n",
      "    Residual: 0.0031164185878501194   0\n",
      "    Residual: 2.402947332129708e-06   1\n",
      "    Residual: 3.095058441986194e-10   2\n",
      "Activation:  []\n",
      "Increment: 161    Initial Residual: 0.42337893759264655\n",
      "    Residual: 0.0027699897922697277   0\n",
      "    Residual: 8.633883607655314e-05   1\n",
      "    Residual: 2.9991145316241757e-10   2\n",
      "Activation:  []\n",
      "Increment: 162    Initial Residual: 0.4186253491289083\n",
      "    Residual: 0.0033245233831266287   0\n",
      "    Residual: 0.00025112375614741987   1\n",
      "    Residual: 3.053637013414548e-10   2\n",
      "Activation:  []\n",
      "Increment: 163    Initial Residual: 0.4138095691804441\n",
      "    Residual: 0.0028320956980238403   0\n",
      "    Residual: 0.0001087008416750275   1\n",
      "    Residual: 2.674154081164356e-10   2\n",
      "Activation:  []\n",
      "Increment: 164    Initial Residual: 0.4100413264831456\n",
      "    Residual: 0.002381759073848512   0\n",
      "    Residual: 0.0002292630136997264   1\n",
      "    Residual: 3.836901098020001e-10   2\n",
      "Activation:  []\n",
      "Increment: 165    Initial Residual: 0.40676185310440244\n",
      "    Residual: 0.0028545736904129378   0\n",
      "    Residual: 1.6497682559334812e-05   1\n",
      "    Residual: 3.03175443852429e-10   2\n",
      "Activation:  []\n",
      "Increment: 166    Initial Residual: 0.40446848423737475\n",
      "    Residual: 0.002397157014851671   0\n",
      "    Residual: 7.761248021504037e-05   1\n",
      "    Residual: 2.1063485052899415e-10   2\n",
      "Activation:  []\n",
      "Increment: 167    Initial Residual: 0.40419696093390495\n",
      "    Residual: 0.0020615727328134126   0\n",
      "    Residual: 0.0006829832181129585   1\n",
      "    Residual: 2.5989728011465864e-08   2\n",
      "    Residual: 3.452288843879179e-10   3\n",
      "Activation:  []\n",
      "Increment: 168    Initial Residual: 0.40515089008127175\n",
      "    Residual: 0.0024523961632655546   0\n",
      "    Residual: 0.0006903223790201304   1\n",
      "    Residual: 9.111485221165583e-05   2\n",
      "    Residual: 2.732317541359007e-10   3\n",
      "Activation:  []\n",
      "Increment: 169    Initial Residual: 0.40783545144116523\n",
      "    Residual: 0.002289401137620635   0\n",
      "    Residual: 4.352539287760774e-05   1\n",
      "    Residual: 3.323268229236531e-10   2\n",
      "Activation:  []\n",
      "Increment: 170    Initial Residual: 0.41180585460260793\n",
      "    Residual: 0.002160027198442863   0\n",
      "    Residual: 1.7479319419769348e-05   1\n",
      "    Residual: 2.5507016905238873e-10   2\n",
      "Activation:  []\n",
      "Increment: 171    Initial Residual: 0.4170056483458968\n",
      "    Residual: 0.002386265322399624   0\n",
      "    Residual: 2.7502537979760673e-05   1\n",
      "    Residual: 2.34292425179705e-10   2\n",
      "Activation:  []\n",
      "Increment: 172    Initial Residual: 0.4226167858797061\n",
      "    Residual: 0.0020049283192597493   0\n",
      "    Residual: 0.00011542167874724746   1\n",
      "    Residual: 3.4189537791323375e-10   2\n",
      "Activation:  []\n",
      "Increment: 173    Initial Residual: 0.42790560700981695\n",
      "    Residual: 0.0019608680206256   0\n",
      "    Residual: 5.896338837031826e-06   1\n",
      "    Residual: 2.634649117293612e-10   2\n",
      "Activation:  []\n",
      "Increment: 174    Initial Residual: 0.4327895629855862\n",
      "    Residual: 0.0021642245490109875   0\n",
      "    Residual: 0.00021139530918608233   1\n",
      "    Residual: 3.2619655192641106e-10   2\n",
      "Activation:  []\n",
      "Increment: 175    Initial Residual: 0.43600505731088635\n",
      "    Residual: 0.0016494265564131296   0\n",
      "    Residual: 6.174744731050595e-05   1\n",
      "    Residual: 2.2545670007615828e-10   2\n",
      "Activation:  []\n",
      "Increment: 176    Initial Residual: 0.439620877535204\n",
      "    Residual: 0.002119516329231674   0\n",
      "    Residual: 0.00011972311698277834   1\n",
      "    Residual: 3.94429923222659e-10   2\n",
      "Activation:  []\n",
      "Increment: 177    Initial Residual: 0.4416507797171315\n",
      "    Residual: 0.0019898702059576935   0\n",
      "    Residual: 7.432185675311873e-10   1\n",
      "    Residual: 2.8706344011475757e-10   2\n",
      "Activation:  []\n",
      "Increment: 178    Initial Residual: 0.44333338237464576\n",
      "    Residual: 0.0018141562706136764   0\n",
      "    Residual: 1.681328912720583e-05   1\n",
      "    Residual: 3.152430213849549e-10   2\n",
      "Activation:  []\n",
      "Increment: 179    Initial Residual: 0.44529549635250054\n",
      "    Residual: 0.0017056201084849492   0\n",
      "    Residual: 2.359056761518755e-09   1\n",
      "    Residual: 2.753954434901909e-10   2\n",
      "Activation:  []\n",
      "Increment: 180    Initial Residual: 0.4466852967197855\n",
      "    Residual: 0.001563126160423158   0\n",
      "    Residual: 3.557572424662847e-05   1\n",
      "    Residual: 3.259299171090614e-10   2\n",
      "Activation:  []\n",
      "Increment: 181    Initial Residual: 0.4480903634459912\n",
      "    Residual: 0.0017303336515518916   0\n",
      "    Residual: 1.5760659558397703e-05   1\n",
      "    Residual: 4.167947751755114e-10   2\n",
      "Activation:  []\n",
      "Increment: 182    Initial Residual: 0.4466142198350357\n",
      "    Residual: 0.0016791063030594435   0\n",
      "    Residual: 7.641548457082939e-05   1\n",
      "    Residual: 3.2826856969893224e-10   2\n",
      "Activation:  []\n",
      "Increment: 183    Initial Residual: 0.4434321299928674\n",
      "    Residual: 0.0017911501329541018   0\n",
      "    Residual: 0.00020251476412227985   1\n",
      "    Residual: 2.6130300597399666e-10   2\n",
      "Activation:  []\n",
      "Increment: 184    Initial Residual: 0.43783817655565\n",
      "    Residual: 0.002184258528445403   0\n",
      "    Residual: 7.414533661514686e-05   1\n",
      "    Residual: 2.607916633530402e-10   2\n",
      "Activation:  []\n",
      "Increment: 185    Initial Residual: 0.43011295306979697\n",
      "    Residual: 0.002080009554814714   0\n",
      "    Residual: 0.0007829522313507363   1\n",
      "    Residual: 0.0003128911686783779   2\n",
      "    Residual: 2.7139307522571156e-10   3\n",
      "Activation:  []\n",
      "Increment: 186    Initial Residual: 0.4202276059381217\n",
      "    Residual: 0.0022341767262487127   0\n",
      "    Residual: 0.00013770627771397316   1\n",
      "    Residual: 2.3039441357265975e-10   2\n",
      "Activation:  []\n",
      "Increment: 187    Initial Residual: 0.4087608630984515\n",
      "    Residual: 0.0024260316411002128   0\n",
      "    Residual: 6.494479941307105e-05   1\n",
      "    Residual: 3.2292832746277536e-10   2\n",
      "Activation:  []\n",
      "Increment: 188    Initial Residual: 0.39514677596793335\n",
      "    Residual: 0.0020635506938637893   0\n",
      "    Residual: 0.0001367015473574622   1\n",
      "    Residual: 2.2340752438245823e-10   2\n",
      "Activation:  []\n",
      "Increment: 189    Initial Residual: 0.3823734346784314\n",
      "    Residual: 0.001899698124113836   0\n",
      "    Residual: 0.00025836904655149025   1\n",
      "    Residual: 7.2982083444215465e-09   2\n",
      "    Residual: 1.901328618677475e-10   3\n",
      "Activation:  []\n",
      "Increment: 190    Initial Residual: 0.37060396911360155\n",
      "    Residual: 0.0021460174224915514   0\n",
      "    Residual: 0.00010433883716342111   1\n",
      "    Residual: 2.8127972855123955e-10   2\n",
      "Activation:  []\n",
      "Increment: 191    Initial Residual: 0.35819055959551277\n",
      "    Residual: 0.0018724813385424782   0\n",
      "    Residual: 0.00031611219124292824   1\n",
      "    Residual: 9.825370642683448e-08   2\n",
      "    Residual: 2.7567504067178445e-10   3\n",
      "Activation:  []\n",
      "Increment: 192    Initial Residual: 0.346793847827294\n",
      "    Residual: 0.0022134062275818212   0\n",
      "    Residual: 4.435732588552035e-05   1\n",
      "    Residual: 1.3992238368968795e-08   2\n",
      "    Residual: 2.4235631735094615e-10   3\n",
      "Activation:  []\n",
      "Increment: 193    Initial Residual: 0.3357028097310925\n",
      "    Residual: 0.002442903820921084   0\n",
      "    Residual: 4.353680557008894e-06   1\n",
      "    Residual: 3.214535827285874e-10   2\n",
      "Activation:  []\n",
      "Increment: 194    Initial Residual: 0.32453297361959904\n",
      "    Residual: 0.0024311519900069105   0\n",
      "    Residual: 0.00010787999595921072   1\n",
      "    Residual: 2.246509230629119e-10   2\n",
      "Activation:  []\n",
      "Increment: 195    Initial Residual: 0.31419298245363564\n",
      "    Residual: 0.0017499931814413873   0\n",
      "    Residual: 7.274780324301167e-05   1\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Residual: 3.177245906762161e-10   2\n",
      "    Residual: 2.3205348734739985e-10   3\n",
      "Activation:  []\n",
      "Increment: 196    Initial Residual: 0.3045175478899031\n",
      "    Residual: 0.0023744629735396776   0\n",
      "    Residual: 0.00021733474627852746   1\n",
      "    Residual: 3.7346682727536074e-10   2\n",
      "    Residual: 2.414108014735096e-10   3\n",
      "Activation:  []\n",
      "Increment: 197    Initial Residual: 0.2959335038898175\n",
      "    Residual: 0.002441107577310945   0\n",
      "    Residual: 0.00018964784151815717   1\n",
      "    Residual: 2.327794712133208e-10   2\n",
      "Activation:  []\n",
      "Increment: 198    Initial Residual: 0.2919790070303414\n",
      "    Residual: 0.0017450788973976273   0\n",
      "    Residual: 3.1607140290377e-05   1\n",
      "    Residual: 1.7928132295150384e-10   2\n",
      "Activation:  []\n",
      "Increment: 199    Initial Residual: 0.29059262560875915\n",
      "    Residual: 0.002188307774307852   0\n",
      "    Residual: 0.00011513033644830371   1\n",
      "    Residual: 3.1683236387244257e-10   2\n",
      "    Residual: 2.817746828383649e-10   3\n",
      "Activation:  []\n",
      "Increment: 200    Initial Residual: 0.29290959251796145\n",
      "    Residual: 0.0014546437416831798   0\n",
      "    Residual: 8.253674626704684e-06   1\n",
      "    Residual: 1.632809212854691e-10   2\n",
      "Activation:  []\n",
      "Increment: 201    Initial Residual: 0.2984229887105997\n",
      "    Residual: 0.001546678888090203   0\n",
      "    Residual: 0.00015687486851195085   1\n",
      "    Residual: 2.377902244943398e-10   2\n",
      "Activation:  []\n",
      "Increment: 202    Initial Residual: 0.30738656842271844\n",
      "    Residual: 0.0009848665598003042   0\n",
      "    Residual: 5.4937489455478e-10   1\n",
      "    Residual: 2.108330896466565e-10   2\n",
      "Activation:  []\n",
      "Increment: 203    Initial Residual: 0.32009498778332957\n",
      "    Residual: 0.001242887462790903   0\n",
      "    Residual: 3.870177112629535e-10   1\n",
      "    Residual: 3.5469913698575185e-10   2\n",
      "    Residual: 2.505060656725885e-10   3\n",
      "Activation:  []\n",
      "Increment: 204    Initial Residual: 0.3330880393412814\n",
      "    Residual: 0.0008466078578510988   0\n",
      "    Residual: 2.4461018515097374e-10   1\n",
      "Activation:  []\n",
      "Increment: 205    Initial Residual: 0.34517929776638706\n",
      "    Residual: 0.0007275735132434088   0\n",
      "    Residual: 6.412599567791114e-10   1\n",
      "    Residual: 2.5923435878053614e-10   2\n",
      "Activation:  []\n",
      "Increment: 206    Initial Residual: 0.35794767292486135\n",
      "    Residual: 0.0009652392261643819   0\n",
      "    Residual: 7.528325396406462e-06   1\n",
      "    Residual: 1.7906118978882092e-10   2\n",
      "Activation:  []\n",
      "Increment: 207    Initial Residual: 0.3711256062179056\n",
      "    Residual: 0.0007636685406418362   0\n",
      "    Residual: 2.003708138314902e-06   1\n",
      "    Residual: 3.4146639757728565e-10   2\n",
      "Activation:  []\n",
      "Increment: 208    Initial Residual: 0.3837485087262651\n",
      "    Residual: 0.0009294312289249789   0\n",
      "    Residual: 3.246066811604688e-06   1\n",
      "    Residual: 2.579798549534428e-10   2\n",
      "Activation:  []\n",
      "Increment: 209    Initial Residual: 0.395482172482173\n",
      "    Residual: 0.0008414739678191256   0\n",
      "    Residual: 4.909736927509396e-10   1\n",
      "    Residual: 2.0348080171632005e-10   2\n",
      "Activation:  []\n",
      "Increment: 210    Initial Residual: 0.40778687485582904\n",
      "    Residual: 0.0006278501468915521   0\n",
      "    Residual: 8.493229614838255e-06   1\n",
      "    Residual: 2.3594833916727593e-10   2\n",
      "Activation:  []\n",
      "Increment: 211    Initial Residual: 0.4190605287164755\n",
      "    Residual: 0.0007656220971810424   0\n",
      "    Residual: 1.697540753739304e-05   1\n",
      "    Residual: 1.6985190328403237e-10   2\n",
      "Activation:  []\n",
      "Increment: 212    Initial Residual: 0.4294406344285746\n",
      "    Residual: 0.0011357765314511867   0\n",
      "    Residual: 5.148500349502264e-09   1\n",
      "    Residual: 3.4371227126465217e-10   2\n",
      "Activation:  []\n",
      "Increment: 213    Initial Residual: 0.43677155988897737\n",
      "    Residual: 0.0012926391166611195   0\n",
      "    Residual: 0.0001303264147440428   1\n",
      "    Residual: 1.6955091146384614e-10   2\n",
      "Activation:  []\n",
      "Increment: 214    Initial Residual: 0.44196180544537234\n",
      "    Residual: 0.0010998429490579555   0\n",
      "    Residual: 0.0001327343001346741   1\n",
      "    Residual: 1.6468189826330076e-10   2\n",
      "Activation:  []\n",
      "Increment: 215    Initial Residual: 0.4452276253762741\n",
      "    Residual: 0.0009047378427931024   0\n",
      "    Residual: 1.202587539940841e-05   1\n",
      "    Residual: 1.3662484961785694e-10   2\n",
      "Activation:  []\n",
      "Increment: 216    Initial Residual: 0.4447175024488599\n",
      "    Residual: 0.0013516949669609285   0\n",
      "    Residual: 3.123752042428779e-05   1\n",
      "    Residual: 2.4607172111800064e-10   2\n",
      "Activation:  []\n",
      "Increment: 217    Initial Residual: 0.44096536814442167\n",
      "    Residual: 0.001423685913040736   0\n",
      "    Residual: 4.531352749493563e-05   1\n",
      "    Residual: 1.4834932586080504e-10   2\n",
      "Activation:  []\n",
      "Increment: 218    Initial Residual: 0.4335596233588176\n",
      "    Residual: 0.0014451506806194574   0\n",
      "    Residual: 4.59812335014443e-05   1\n",
      "    Residual: 3.0080499881276207e-10   2\n",
      "Activation:  []\n",
      "Increment: 219    Initial Residual: 0.425993321663084\n",
      "    Residual: 0.001615634822798676   0\n",
      "    Residual: 0.00014372733936642807   1\n",
      "    Residual: 0.00014631910801544287   2\n",
      "    Residual: 2.9431332940264313e-10   3\n",
      "Activation:  []\n",
      "Increment: 220    Initial Residual: 0.4173932346240199\n",
      "    Residual: 0.0019215281071832612   0\n",
      "    Residual: 7.965210980485366e-05   1\n",
      "    Residual: 1.7567616294722574e-10   2\n",
      "Activation:  []\n",
      "Increment: 221    Initial Residual: 0.4066012014856851\n",
      "    Residual: 0.0011608852285182832   0\n",
      "    Residual: 1.5282708727456137e-06   1\n",
      "    Residual: 2.2810435612172475e-10   2\n",
      "Activation:  []\n",
      "Increment: 222    Initial Residual: 0.395954086293659\n",
      "    Residual: 0.0016604264663195101   0\n",
      "    Residual: 9.310770855815516e-05   1\n",
      "    Residual: 1.3173881093575849e-10   2\n",
      "Activation:  [2.75445045e-05 2.75445045e-05]\n",
      "Increment: 223    Initial Residual: 0.38583916761896375\n",
      "    Residual: 0.002134804443034777   0\n",
      "    Residual: 0.0003773222914533371   1\n",
      "    Residual: 2.811351288566512e-10   2\n",
      "Activation:  []\n",
      "Increment: 224    Initial Residual: 0.3755546028845644\n",
      "    Residual: 0.0013805906934176335   0\n",
      "    Residual: 3.775640638467587e-05   1\n",
      "    Residual: 2.2592754050711377e-10   2\n",
      "Activation:  []\n",
      "Increment: 225    Initial Residual: 0.36564889769145525\n",
      "    Residual: 0.0020518828426499716   0\n",
      "    Residual: 0.00031940109620558763   1\n",
      "    Residual: 2.619047274206375e-10   2\n",
      "Activation:  []\n",
      "Increment: 226    Initial Residual: 0.3538125376481826\n",
      "    Residual: 0.0021530994744322503   0\n",
      "    Residual: 8.372058551304421e-05   1\n",
      "    Residual: 3.24944557839669e-10   2\n",
      "Activation:  []\n",
      "Increment: 227    Initial Residual: 0.34051892551064533\n",
      "    Residual: 0.0015154231497961543   0\n",
      "    Residual: 8.218960484984562e-05   1\n",
      "    Residual: 2.0121974003738674e-10   2\n",
      "Activation:  []\n",
      "Increment: 228    Initial Residual: 0.32919251096571267\n",
      "    Residual: 0.0018929346852547316   0\n",
      "    Residual: 0.00021188556775186322   1\n",
      "    Residual: 1.7682850324226015e-10   2\n",
      "Activation:  []\n",
      "Increment: 229    Initial Residual: 0.3194553325150756\n",
      "    Residual: 0.0013519072478590216   0\n",
      "    Residual: 8.253601475693401e-05   1\n",
      "    Residual: 2.0976505026781044e-10   2\n",
      "Activation:  []\n",
      "Increment: 230    Initial Residual: 0.31139886849966425\n",
      "    Residual: 0.0015386558388000328   0\n",
      "    Residual: 9.023280663425768e-05   1\n",
      "    Residual: 6.17792248010346e-10   2\n",
      "    Residual: 1.0487058235859477e-10   3\n",
      "Activation:  []\n",
      "Increment: 231    Initial Residual: 0.30652843015917847\n",
      "    Residual: 0.0014441759714090942   0\n",
      "    Residual: 6.85624639138348e-05   1\n",
      "    Residual: 1.4220565812054374e-10   2\n",
      "Activation:  []\n",
      "Increment: 232    Initial Residual: 0.30402197786320734\n",
      "    Residual: 0.0009601904787852675   0\n",
      "    Residual: 5.399499381860952e-10   1\n",
      "    Residual: 1.648900726169539e-10   2\n",
      "Activation:  []\n",
      "Increment: 233    Initial Residual: 0.30488999958654167\n",
      "    Residual: 0.0011652790391581585   0\n",
      "    Residual: 1.439125513338721e-09   1\n",
      "    Residual: 1.6747476638795633e-10   2\n",
      "Activation:  []\n",
      "Increment: 234    Initial Residual: 0.30787448007874796\n",
      "    Residual: 0.0012768591633707958   0\n",
      "    Residual: 1.1842616007229817e-05   1\n",
      "    Residual: 1.9988918639837704e-10   2\n",
      "Activation:  []\n",
      "Increment: 235    Initial Residual: 0.3119009896613292\n",
      "    Residual: 0.0006266636532710612   0\n",
      "    Residual: 6.638957786157968e-10   1\n",
      "    Residual: 2.3756587210992965e-10   2\n",
      "Activation:  []\n",
      "Increment: 236    Initial Residual: 0.3177644760337922\n",
      "    Residual: 0.0010297313707370928   0\n",
      "    Residual: 4.20570560782552e-05   1\n",
      "    Residual: 2.4466152901145936e-10   2\n",
      "Activation:  []\n",
      "Increment: 237    Initial Residual: 0.3224361679022489\n",
      "    Residual: 0.0012348274683675422   0\n",
      "    Residual: 8.410258937814253e-10   1\n",
      "    Residual: 2.1929760760698583e-10   2\n",
      "Activation:  []\n",
      "Increment: 238    Initial Residual: 0.3259226311633412\n",
      "    Residual: 0.0009252791082078734   0\n",
      "    Residual: 1.1181916482335485e-09   1\n",
      "    Residual: 2.0782953484747665e-10   2\n",
      "Activation:  []\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Increment: 239    Initial Residual: 0.329676479112288\n",
      "    Residual: 0.0008988717028271483   0\n",
      "    Residual: 6.114946605603455e-10   1\n",
      "    Residual: 2.4089843502406033e-10   2\n",
      "Activation:  []\n",
      "Increment: 240    Initial Residual: 0.33379704050468445\n",
      "    Residual: 0.0006607931848872811   0\n",
      "    Residual: 1.5908189528679542e-05   1\n",
      "    Residual: 1.9808395445574645e-10   2\n",
      "Activation:  []\n",
      "Increment: 241    Initial Residual: 0.3395956517720753\n",
      "    Residual: 0.0006255651342032505   0\n",
      "    Residual: 4.800387966399982e-10   1\n",
      "    Residual: 2.4153490764133656e-10   2\n",
      "Activation:  []\n",
      "Increment: 242    Initial Residual: 0.34459730021889917\n",
      "    Residual: 0.0008919850844701753   0\n",
      "    Residual: 6.461810680280137e-10   1\n",
      "    Residual: 1.4507999222978584e-10   2\n",
      "Activation:  []\n",
      "Increment: 243    Initial Residual: 0.34749067619460927\n",
      "    Residual: 0.0007384395692676837   0\n",
      "    Residual: 3.743395236887088e-05   1\n",
      "    Residual: 1.492714682966025e-10   2\n",
      "Activation:  []\n",
      "Increment: 244    Initial Residual: 0.35003863197356105\n",
      "    Residual: 0.0006772160582056958   0\n",
      "    Residual: 1.4437229189375319e-05   1\n",
      "    Residual: 1.5556378435540357e-10   2\n",
      "Activation:  []\n",
      "Increment: 245    Initial Residual: 0.35073500909482863\n",
      "    Residual: 0.0011148109776575872   0\n",
      "    Residual: 3.7558996702164814e-05   1\n",
      "    Residual: 1.4684057052296536e-10   2\n",
      "Activation:  []\n",
      "Increment: 246    Initial Residual: 0.350463369031439\n",
      "    Residual: 0.0009081704804408169   0\n",
      "    Residual: 1.342843070854686e-05   1\n",
      "    Residual: 1.8009612262134489e-10   2\n",
      "Activation:  []\n",
      "Increment: 247    Initial Residual: 0.3477209278780127\n",
      "    Residual: 0.0011857627677988535   0\n",
      "    Residual: 7.505708785001297e-05   1\n",
      "    Residual: 2.0291001705322294e-08   2\n",
      "    Residual: 1.3685627864933956e-10   3\n",
      "Activation:  []\n",
      "Increment: 248    Initial Residual: 0.34325635265404136\n",
      "    Residual: 0.0008138908803729928   0\n",
      "    Residual: 5.976086050752706e-05   1\n",
      "    Residual: 1.2169977465553377e-10   2\n",
      "Activation:  []\n",
      "Increment: 249    Initial Residual: 0.33830960150947376\n",
      "    Residual: 0.00110055865511089   0\n",
      "    Residual: 2.190478961549177e-05   1\n",
      "    Residual: 1.6994725569673595e-10   2\n",
      "Activation:  []\n",
      "Increment: 250    Initial Residual: 0.3331299678662435\n",
      "    Residual: 0.0012731646903945653   0\n",
      "    Residual: 4.974623848495549e-10   1\n",
      "    Residual: 1.3767987140750636e-10   2\n",
      "Activation:  []\n",
      "Increment: 251    Initial Residual: 0.3279441449302016\n",
      "    Residual: 0.0008681725995814789   0\n",
      "    Residual: 4.002125603404774e-05   1\n",
      "    Residual: 2.37708434703178e-10   2\n",
      "Activation:  []\n",
      "Increment: 252    Initial Residual: 0.3234328419656896\n",
      "    Residual: 0.0013710671612115412   0\n",
      "    Residual: 8.117927798915911e-05   1\n",
      "    Residual: 2.2559420520553638e-10   2\n",
      "Activation:  []\n",
      "Increment: 253    Initial Residual: 0.3191718267106508\n",
      "    Residual: 0.00125566497826544   0\n",
      "    Residual: 7.561852153699886e-05   1\n",
      "    Residual: 2.0745285132701887e-10   2\n",
      "Activation:  []\n",
      "Increment: 254    Initial Residual: 0.3144506607791182\n",
      "    Residual: 0.0009422751257975786   0\n",
      "    Residual: 0.0005986801361337962   1\n",
      "    Residual: 0.0001279518307291162   2\n",
      "    Residual: 1.6679899023030963e-10   3\n",
      "Activation:  []\n",
      "Increment: 255    Initial Residual: 0.30983079856641077\n",
      "    Residual: 0.0017914198546064072   0\n",
      "    Residual: 0.0002604021980797839   1\n",
      "    Residual: 3.4783491190857875e-09   2\n",
      "    Residual: 1.5397091278802059e-10   3\n",
      "Activation:  []\n",
      "Increment: 256    Initial Residual: 0.3043490473219416\n",
      "    Residual: 0.0012940768988713223   0\n",
      "    Residual: 6.271676059659459e-05   1\n",
      "    Residual: 1.9854297386861388e-10   2\n",
      "Activation:  []\n",
      "Increment: 257    Initial Residual: 0.2986261204177971\n",
      "    Residual: 0.0009342951325763076   0\n",
      "    Residual: 0.00010781204758046244   1\n",
      "    Residual: 1.6591266611166755e-10   2\n",
      "Activation:  []\n",
      "Increment: 258    Initial Residual: 0.2942894152905901\n",
      "    Residual: 0.0010398130549643873   0\n",
      "    Residual: 1.498722518735237e-05   1\n",
      "    Residual: 1.8182795627891273e-10   2\n",
      "Activation:  []\n",
      "Increment: 259    Initial Residual: 0.29099075052198975\n",
      "    Residual: 0.0009706310436424866   0\n",
      "    Residual: 4.9155918239174997e-05   1\n",
      "    Residual: 3.494143172021052e-10   2\n",
      "    Residual: 1.279605785939548e-10   3\n",
      "Activation:  []\n",
      "Increment: 260    Initial Residual: 0.28788986263966226\n",
      "    Residual: 0.0009247161977700841   0\n",
      "    Residual: 9.755314568603265e-05   1\n",
      "    Residual: 1.293057253867415e-10   2\n",
      "Activation:  []\n",
      "Increment: 261    Initial Residual: 0.285197271431146\n",
      "    Residual: 0.0009690898362601225   0\n",
      "    Residual: 5.1213925340512445e-05   1\n",
      "    Residual: 1.7528880116608215e-10   2\n",
      "Activation:  []\n",
      "Increment: 262    Initial Residual: 0.28281657111051606\n",
      "    Residual: 0.0008288860889582086   0\n",
      "    Residual: 0.0001850976407785946   1\n",
      "    Residual: 6.074328395930527e-05   2\n",
      "    Residual: 4.189783417355456e-10   3\n",
      "    Residual: 1.200128424657341e-10   4\n",
      "Activation:  []\n",
      "Increment: 263    Initial Residual: 0.28082100349300965\n",
      "    Residual: 0.0008565128794889938   0\n",
      "    Residual: 0.00010941808109621339   1\n",
      "    Residual: 1.4525311059428017e-10   2\n",
      "Activation:  []\n",
      "Increment: 264    Initial Residual: 0.27980701735812047\n",
      "    Residual: 0.0009098006268043262   0\n",
      "    Residual: 0.0002483359895333852   1\n",
      "    Residual: 2.3786693534772457e-10   2\n",
      "Activation:  []\n",
      "Increment: 265    Initial Residual: 0.2783275489387969\n",
      "    Residual: 0.0009440114063864321   0\n",
      "    Residual: 2.837982847086179e-05   1\n",
      "    Residual: 1.583176537209247e-10   2\n",
      "Activation:  []\n",
      "Increment: 266    Initial Residual: 0.2761065533836379\n",
      "    Residual: 0.0007472463293004336   0\n",
      "    Residual: 5.888417323742243e-05   1\n",
      "    Residual: 1.6970523973318536e-10   2\n",
      "Activation:  []\n",
      "Increment: 267    Initial Residual: 0.2740664584907174\n",
      "    Residual: 0.0009474757978715285   0\n",
      "    Residual: 0.00021580764550519586   1\n",
      "    Residual: 2.7003828589376986e-08   2\n",
      "    Residual: 1.9108630182949624e-10   3\n",
      "Activation:  [2.97013119e-05 2.97013119e-05]\n",
      "Increment: 268    Initial Residual: 0.2717297226735427\n",
      "    Residual: 0.0009605433920163621   0\n",
      "    Residual: 5.529043456521323e-05   1\n",
      "    Residual: 1.6871244289573587e-10   2\n",
      "Activation:  []\n",
      "Increment: 269    Initial Residual: 0.2695816769033028\n",
      "    Residual: 0.0010154045251467908   0\n",
      "    Residual: 1.122520319018342e-06   1\n",
      "    Residual: 1.5442377730621086e-10   2\n",
      "Activation:  []\n",
      "Increment: 270    Initial Residual: 0.2673749906700256\n",
      "    Residual: 0.0009073641301576933   0\n",
      "    Residual: 7.015313012504e-05   1\n",
      "    Residual: 1.6773725512665816e-10   2\n",
      "Activation:  []\n",
      "Increment: 271    Initial Residual: 0.26495407497483553\n",
      "    Residual: 0.0007869160728688788   0\n",
      "    Residual: 1.9351045905119087e-05   1\n",
      "    Residual: 1.2919907760418976e-10   2\n",
      "Activation:  []\n",
      "Increment: 272    Initial Residual: 0.26286388301234087\n",
      "    Residual: 0.0007301321737219229   0\n",
      "    Residual: 1.4842640058622424e-05   1\n",
      "    Residual: 1.747873671374364e-10   2\n",
      "Activation:  []\n",
      "Increment: 273    Initial Residual: 0.26040321556665325\n",
      "    Residual: 0.000853447700674306   0\n",
      "    Residual: 4.8146167732043e-05   1\n",
      "    Residual: 2.0508134927049662e-10   2\n",
      "Activation:  []\n",
      "Increment: 274    Initial Residual: 0.25850136971000653\n",
      "    Residual: 0.0009758776783516279   0\n",
      "    Residual: 2.7473997764225346e-05   1\n",
      "    Residual: 2.0097159713369706e-10   2\n",
      "Activation:  []\n",
      "Increment: 275    Initial Residual: 0.2562916288084873\n",
      "    Residual: 0.000993834690928305   0\n",
      "    Residual: 0.00011879021945643587   1\n",
      "    Residual: 1.6590481322513948e-10   2\n",
      "Activation:  []\n",
      "Increment: 276    Initial Residual: 0.2546075016264903\n",
      "    Residual: 0.0006110087654880161   0\n",
      "    Residual: 4.69426630395536e-10   1\n",
      "    Residual: 1.0579508589098599e-10   2\n",
      "Activation:  []\n",
      "Increment: 277    Initial Residual: 0.252776496026142\n",
      "    Residual: 0.00047776324200836325   0\n",
      "    Residual: 2.5311073853155725e-09   1\n",
      "    Residual: 2.0399225331756654e-10   2\n",
      "Activation:  []\n",
      "Increment: 278    Initial Residual: 0.2512097290838957\n",
      "    Residual: 0.0009825172338445499   0\n",
      "    Residual: 3.947724075413804e-05   1\n",
      "    Residual: 1.9361613856578503e-10   2\n",
      "Activation:  [0.0001089 0.0001089]\n",
      "Increment: 279    Initial Residual: 0.24936377916169855\n",
      "    Residual: 0.0007508371592203996   0\n",
      "    Residual: 0.00018387830014333518   1\n",
      "    Residual: 6.340274986706338e-10   2\n",
      "    Residual: 1.5803982303236428e-10   3\n",
      "Activation:  []\n",
      "Increment: 280    Initial Residual: 0.24772187051463854\n",
      "    Residual: 0.0006689048585958218   0\n",
      "    Residual: 8.621383556287049e-05   1\n",
      "    Residual: 1.56012259165682e-10   2\n",
      "Activation:  []\n",
      "Increment: 281    Initial Residual: 0.24590430502848543\n",
      "    Residual: 0.0011053341510605375   0\n",
      "    Residual: 0.00013347716513972566   1\n",
      "    Residual: 1.8314835456400923e-10   2\n",
      "Activation:  []\n",
      "Increment: 282    Initial Residual: 0.2439448611473175\n",
      "    Residual: 0.0008783784958428256   0\n",
      "    Residual: 0.00011893414806791058   1\n",
      "    Residual: 2.381394744828381e-10   2\n",
      "Activation:  []\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Increment: 283    Initial Residual: 0.24221999688745935\n",
      "    Residual: 0.0006020796239119961   0\n",
      "    Residual: 3.291821071257118e-10   1\n",
      "    Residual: 1.438451062335534e-10   2\n",
      "Activation:  []\n",
      "Increment: 284    Initial Residual: 0.24050318640923068\n",
      "    Residual: 0.0009611018259101633   0\n",
      "    Residual: 5.466054935919e-05   1\n",
      "    Residual: 1.758666063328519e-10   2\n",
      "Activation:  [4.47847776e-05 4.47847776e-05]\n",
      "Increment: 285    Initial Residual: 0.23870528685123815\n",
      "    Residual: 0.0009288693466069479   0\n",
      "    Residual: 3.6801375443533076e-05   1\n",
      "    Residual: 1.3632057545608477e-10   2\n",
      "Activation:  []\n",
      "Increment: 286    Initial Residual: 0.23703578583489548\n",
      "    Residual: 0.0006033049573510359   0\n",
      "    Residual: 9.470410738318108e-05   1\n",
      "    Residual: 1.579933505499269e-10   2\n",
      "Activation:  [4.32891721e-05 4.32891721e-05]\n",
      "Increment: 287    Initial Residual: 0.23554491149699633\n",
      "    Residual: 0.00041306939958124934   0\n",
      "    Residual: 6.114303103239502e-06   1\n",
      "    Residual: 1.5657780444900554e-10   2\n",
      "Activation:  [0.00012948 0.00012948]\n",
      "Increment: 288    Initial Residual: 0.23392123392654834\n",
      "    Residual: 0.0006260618295013873   0\n",
      "    Residual: 8.41527513767522e-05   1\n",
      "    Residual: 1.4540745595114366e-10   2\n",
      "Activation:  [2.03905094e-05 2.03905094e-05]\n",
      "Increment: 289    Initial Residual: 0.23260780155579552\n",
      "    Residual: 0.0007962369767909406   0\n",
      "    Residual: 6.56367840061155e-05   1\n",
      "    Residual: 1.8983367327742645e-10   2\n",
      "Activation:  []\n",
      "Increment: 290    Initial Residual: 0.23125625125923024\n",
      "    Residual: 0.0005971423892968297   0\n",
      "    Residual: 6.771848507983563e-06   1\n",
      "    Residual: 1.5472608681118676e-10   2\n",
      "Activation:  [5.82513735e-05 5.82513735e-05]\n",
      "Increment: 291    Initial Residual: 0.22995559778298055\n",
      "    Residual: 0.0005768742288413702   0\n",
      "    Residual: 4.051632964659637e-05   1\n",
      "    Residual: 1.3722529851561566e-10   2\n",
      "Activation:  []\n",
      "Increment: 292    Initial Residual: 0.22879578341085838\n",
      "    Residual: 0.0005502599646621392   0\n",
      "    Residual: 7.852250643068151e-06   1\n",
      "    Residual: 1.4665000606604106e-10   2\n",
      "Activation:  [0.00011362 0.00011362]\n",
      "Increment: 293    Initial Residual: 0.22823999896645517\n",
      "    Residual: 0.00033122912115488115   0\n",
      "    Residual: 2.0221299252856587e-10   1\n",
      "Activation:  [7.16556467e-05 7.16556467e-05]\n",
      "Increment: 294    Initial Residual: 0.22763277895346767\n",
      "    Residual: 0.0005338390971844296   0\n",
      "    Residual: 7.103162152411356e-06   1\n",
      "    Residual: 1.233077073629158e-10   2\n",
      "Activation:  [6.43081231e-05 6.43081231e-05]\n",
      "Increment: 295    Initial Residual: 0.2274678711844769\n",
      "    Residual: 0.0005907389319875548   0\n",
      "    Residual: 5.727224738198948e-06   1\n",
      "    Residual: 1.6261266038115964e-10   2\n",
      "Activation:  [4.91936978e-05 4.91936978e-05]\n",
      "Increment: 296    Initial Residual: 0.22807378361294736\n",
      "    Residual: 0.0007913432128530209   0\n",
      "    Residual: 0.00016407891627109067   1\n",
      "    Residual: 1.5999186650623974e-10   2\n",
      "Activation:  []\n",
      "Increment: 297    Initial Residual: 0.22841455626510182\n",
      "    Residual: 0.0004343068611719008   0\n",
      "    Residual: 5.132179132388646e-10   1\n",
      "    Residual: 2.0077597770437728e-10   2\n",
      "Activation:  []\n",
      "Increment: 298    Initial Residual: 0.2291335331352333\n",
      "    Residual: 0.00017818553197589913   0\n",
      "    Residual: 1.398406975492498e-10   1\n",
      "Activation:  []\n",
      "Increment: 299    Initial Residual: 0.23037404825276772\n",
      "    Residual: 0.0001119527512587685   0\n",
      "    Residual: 3.161911931944547e-10   1\n",
      "    Residual: 1.4148320016289647e-10   2\n",
      "Activation:  []\n",
      "Increment: 300    Initial Residual: 0.23141766741443814\n",
      "    Residual: 0.0002847288722523803   0\n",
      "    Residual: 1.6252602090023548e-10   1\n",
      "Activation:  []\n",
      "Increment: 301    Initial Residual: 0.23309192888744654\n",
      "    Residual: 0.00023274163180626747   0\n",
      "    Residual: 1.3727879212508226e-05   1\n",
      "    Residual: 1.220971273286242e-10   2\n",
      "Activation:  []\n",
      "Increment: 302    Initial Residual: 0.23519495370459165\n",
      "    Residual: 0.00018585575273733827   0\n",
      "    Residual: 1.4742309425517357e-10   1\n",
      "Activation:  []\n",
      "Increment: 303    Initial Residual: 0.23732211915535506\n",
      "    Residual: 2.153724884890607e-08   0\n",
      "    Residual: 1.6518051106560598e-10   1\n",
      "Activation:  []\n",
      "Increment: 304    Initial Residual: 0.2394850042645062\n",
      "    Residual: 0.00041383509192355794   0\n",
      "    Residual: 1.537193386624022e-10   1\n",
      "Activation:  []\n",
      "Increment: 305    Initial Residual: 0.24183377707536868\n",
      "    Residual: 1.7621467507763255e-10   0\n",
      "Activation:  []\n",
      "Increment: 306    Initial Residual: 0.24381903527670495\n",
      "    Residual: 1.0837219020958515e-10   0\n",
      "Activation:  []\n",
      "Increment: 307    Initial Residual: 0.24524799662941965\n",
      "    Residual: 0.0005139080499828917   0\n",
      "    Residual: 1.5973109701868886e-10   1\n",
      "Activation:  []\n",
      "Increment: 308    Initial Residual: 0.24584610572381707\n",
      "    Residual: 1.2562266464757307e-10   0\n",
      "Activation:  []\n",
      "Increment: 309    Initial Residual: 0.24633486859776785\n",
      "    Residual: 0.00044117123243724206   0\n",
      "    Residual: 5.692214856897919e-10   1\n",
      "    Residual: 1.2413360479305554e-10   2\n",
      "Activation:  []\n",
      "Increment: 310    Initial Residual: 0.24615419717627726\n",
      "    Residual: 0.00013816505136039002   0\n",
      "    Residual: 1.0419878731396986e-10   1\n",
      "Activation:  []\n",
      "Increment: 311    Initial Residual: 0.2455438614411904\n",
      "    Residual: 0.0008143528402534703   0\n",
      "    Residual: 1.3776412662399617e-10   1\n",
      "Activation:  []\n",
      "Increment: 312    Initial Residual: 0.2446549880098461\n",
      "    Residual: 0.0005786245708683949   0\n",
      "    Residual: 1.745258349175456e-10   1\n",
      "Activation:  [0.00032492 0.00032492]\n",
      "Increment: 313    Initial Residual: 0.2418741751551297\n",
      "    Residual: 0.0008103375120023912   0\n",
      "    Residual: 1.5578377996174966e-10   1\n",
      "Activation:  []\n",
      "Increment: 314    Initial Residual: 0.23911734118787356\n",
      "    Residual: 1.4940981732791186e-10   0\n",
      "Activation:  []\n",
      "Increment: 315    Initial Residual: 0.23567736801361544\n",
      "    Residual: 1.3028010684616961e-10   0\n",
      "Activation:  []\n",
      "Increment: 316    Initial Residual: 0.23079346697383987\n",
      "    Residual: 1.3839889324300825e-10   0\n",
      "Activation:  []\n",
      "Increment: 317    Initial Residual: 0.22526807268574503\n",
      "    Residual: 1.2762603197742563e-10   0\n",
      "Activation:  []\n",
      "Increment: 318    Initial Residual: 0.2196006053915139\n",
      "    Residual: 1.1296283189917442e-10   0\n",
      "Activation:  []\n",
      "Increment: 319    Initial Residual: 0.21366755891573186\n",
      "    Residual: 0.00041136038581921077   0\n",
      "    Residual: 9.488851674220379e-10   1\n",
      "    Residual: 1.4208058745185938e-10   2\n",
      "Activation:  []\n",
      "Increment: 320    Initial Residual: 0.20782025818335803\n",
      "    Residual: 0.00022256199220832402   0\n",
      "    Residual: 1.742821178699267e-10   1\n",
      "Activation:  []\n",
      "Increment: 321    Initial Residual: 0.20258591756027203\n",
      "    Residual: 0.00029652130715924894   0\n",
      "    Residual: 1.5685401328336462e-10   1\n",
      "Activation:  []\n",
      "Increment: 322    Initial Residual: 0.19757586169948854\n",
      "    Residual: 0.0006975256159285399   0\n",
      "    Residual: 1.6287350044107029e-10   1\n",
      "Activation:  []\n",
      "Increment: 323    Initial Residual: 0.19301594186717827\n",
      "    Residual: 0.00035393307972860394   0\n",
      "    Residual: 2.042060686583863e-10   1\n",
      "    Residual: 1.2028908319747228e-10   2\n",
      "Activation:  []\n",
      "Increment: 324    Initial Residual: 0.1890924059341852\n",
      "    Residual: 0.000558268771111724   0\n",
      "    Residual: 2.1012575146991884e-10   1\n",
      "    Residual: 1.3903006377932436e-10   2\n",
      "Activation:  []\n",
      "Increment: 325    Initial Residual: 0.18629851679653503\n",
      "    Residual: 0.00044816710537763416   0\n",
      "    Residual: 2.8829032608514086e-05   1\n",
      "    Residual: 1.5018985088832038e-10   2\n",
      "Activation:  []\n",
      "Increment: 326    Initial Residual: 0.18540336155289028\n",
      "    Residual: 0.00021110188147192404   0\n",
      "    Residual: 2.0737668081957296e-10   1\n",
      "    Residual: 1.7302162913942834e-10   2\n",
      "Activation:  []\n",
      "Increment: 327    Initial Residual: 0.18579621260513332\n",
      "    Residual: 0.0011361878456764033   0\n",
      "    Residual: 1.9261125992615176e-05   1\n",
      "    Residual: 1.149095232466656e-10   2\n",
      "Activation:  [0.00040934 0.00040934]\n",
      "Increment: 328    Initial Residual: 0.18769872690099842\n",
      "    Residual: 0.000250881164382922   0\n",
      "    Residual: 1.6082428679685713e-10   1\n",
      "Activation:  [0.00012068 0.00012068]\n",
      "Increment: 329    Initial Residual: 0.1923896353460289\n",
      "    Residual: 0.000997590205821521   0\n",
      "    Residual: 1.6673529726864017e-10   1\n",
      "Activation:  []\n",
      "Increment: 330    Initial Residual: 0.1989533464457579\n",
      "    Residual: 1.1667084747047614e-10   0\n",
      "Activation:  []\n",
      "Increment: 331    Initial Residual: 0.20647172427225774\n",
      "    Residual: 1.2747017806822282e-10   0\n",
      "Activation:  []\n",
      "Increment: 332    Initial Residual: 0.21410364337760887\n",
      "    Residual: 1.8333764101188088e-10   0\n",
      "Activation:  []\n",
      "Increment: 333    Initial Residual: 0.22087624034770087\n",
      "    Residual: 1.502569079595263e-10   0\n",
      "Activation:  []\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Increment: 334    Initial Residual: 0.22788756779994673\n",
      "    Residual: 1.4603961612468215e-10   0\n",
      "Activation:  []\n",
      "Increment: 335    Initial Residual: 0.23423612856772064\n",
      "    Residual: 1.9342031059557221e-10   0\n",
      "Activation:  []\n",
      "Increment: 336    Initial Residual: 0.239146607231372\n",
      "    Residual: 1.572149787845703e-10   0\n",
      "Activation:  []\n",
      "Increment: 337    Initial Residual: 0.24384266615483807\n",
      "    Residual: 1.4692298129969214e-10   0\n",
      "Activation:  []\n",
      "Increment: 338    Initial Residual: 0.24699767476953602\n",
      "    Residual: 1.3630286600816386e-10   0\n",
      "Activation:  []\n",
      "Increment: 339    Initial Residual: 0.2508090044054115\n",
      "    Residual: 1.6775937917151113e-10   0\n",
      "Activation:  []\n",
      "Increment: 340    Initial Residual: 0.2521258327384976\n",
      "    Residual: 1.3879648637677203e-10   0\n",
      "Activation:  []\n",
      "Increment: 341    Initial Residual: 0.2500256398351411\n",
      "    Residual: 8.86693899779244e-05   0\n",
      "    Residual: 1.322803034069402e-10   1\n",
      "Activation:  []\n",
      "Increment: 342    Initial Residual: 0.24715139212069456\n",
      "    Residual: 0.0002656610755017075   0\n",
      "    Residual: 1.8075461911435222e-10   1\n",
      "Activation:  []\n",
      "Increment: 343    Initial Residual: 0.2406309610883467\n",
      "    Residual: 0.0007088249057821542   0\n",
      "    Residual: 1.6389086456275172e-10   1\n",
      "Activation:  []\n",
      "Increment: 344    Initial Residual: 0.23155988093520022\n",
      "    Residual: 0.0007315280145657717   0\n",
      "    Residual: 4.6176124383058025e-05   1\n",
      "    Residual: 2.2005278812092655e-10   2\n",
      "Activation:  []\n",
      "Increment: 345    Initial Residual: 0.22186606583219626\n",
      "    Residual: 0.0011721198606429383   0\n",
      "    Residual: 0.00037967870499245243   1\n",
      "    Residual: 2.8953717795243244e-10   2\n",
      "    Residual: 1.8349858176694766e-10   3\n",
      "Activation:  [0.00014003 0.00014003]\n",
      "Increment: 346    Initial Residual: 0.210159832874309\n",
      "    Residual: 0.0011089999326644796   0\n",
      "    Residual: 4.480484459126809e-06   1\n",
      "    Residual: 1.9056172496954085e-10   2\n",
      "Activation:  [0.00019456 0.00019456]\n",
      "Increment: 347    Initial Residual: 0.19795556912455048\n",
      "    Residual: 0.0009238079028360051   0\n",
      "    Residual: 1.0085001824143065e-05   1\n",
      "    Residual: 1.115128513046605e-10   2\n",
      "Activation:  [0.00021678 0.00021678]\n",
      "Increment: 348    Initial Residual: 0.18528067938868797\n",
      "    Residual: 0.0013307946320314276   0\n",
      "    Residual: 1.9116581284041126e-05   1\n",
      "    Residual: 1.7374845765462983e-10   2\n",
      "Activation:  [0.00010289 0.00010289]\n",
      "Increment: 349    Initial Residual: 0.17121340714127595\n",
      "    Residual: 0.0012063481782155685   0\n",
      "    Residual: 0.00023683536798474694   1\n",
      "    Residual: 1.6304843867344482e-10   2\n",
      "Activation:  []\n",
      "Increment: 350    Initial Residual: 0.1576142555667572\n",
      "    Residual: 0.0008727580667651817   0\n",
      "    Residual: 3.9885117482999086e-05   1\n",
      "    Residual: 1.1878976411961022e-10   2\n",
      "Activation:  []\n",
      "Increment: 351    Initial Residual: 0.1442782065893293\n",
      "    Residual: 0.0012803342687148444   0\n",
      "    Residual: 0.00011673963465065459   1\n",
      "    Residual: 1.1978345980846998e-10   2\n",
      "Activation:  []\n",
      "Increment: 352    Initial Residual: 0.1298319873295786\n",
      "    Residual: 0.0008953708115204293   0\n",
      "    Residual: 1.253583233977805e-05   1\n",
      "    Residual: 3.795638982054454e-08   2\n",
      "    Residual: 5.746259778860635e-08   3\n",
      "    Residual: 9.761537903560841e-07   4\n",
      "Activation:  []\n",
      "Increment: 353    Initial Residual: 0.11397392715730296\n",
      "    Residual: 0.0008916562820606813   0\n",
      "    Residual: 2.757375724544508e-10   1\n",
      "    Residual: 1.3963216329465694e-10   2\n",
      "    Residual: 1.3694093288009545e-10   3\n",
      "    Residual: 9.018058815249771e-11   4\n",
      "Activation:  []\n",
      "Increment: 354    Initial Residual: 0.09839142120522985\n",
      "    Residual: 0.0012706026939880873   0\n",
      "    Residual: 0.0001148431353867387   1\n",
      "    Residual: 1.0555709804354218e-10   2\n",
      "    Residual: 8.74409710428256e-11   3\n",
      "Activation:  []\n",
      "Increment: 355    Initial Residual: 0.08649628733829814\n",
      "    Residual: 0.0005956718230410945   0\n",
      "    Residual: 5.867468764749142e-05   1\n",
      "    Residual: 1.395183849321643e-10   2\n",
      "    Residual: 9.080820285103654e-11   3\n",
      "    Residual: 8.781163976717455e-11   4\n",
      "Activation:  []\n",
      "Increment: 356    Initial Residual: 0.0807562084604304\n",
      "    Residual: 0.0007811003020540953   0\n",
      "    Residual: 2.885623046080366e-06   1\n",
      "    Residual: 1.2764660292738174e-10   2\n",
      "    Residual: 1.5593617381858674e-10   3\n",
      "    Residual: 2.4651592636801687e-10   4\n",
      "Activation:  []\n",
      "Increment: 357    Initial Residual: 0.07832620962858079\n",
      "    Residual: 0.0006778490978499897   0\n",
      "    Residual: 7.781007347422432e-10   1\n",
      "    Residual: 1.137358775949259e-10   2\n",
      "    Residual: 1.0775774948202501e-10   3\n",
      "    Residual: 1.1787655325453157e-10   4\n",
      "Activation:  []\n",
      "Increment: 358    Initial Residual: 0.08169509603951891\n",
      "    Residual: 0.0006345944477839685   0\n",
      "    Residual: 1.6068179189121066e-10   1\n",
      "    Residual: 1.2248992498106362e-10   2\n",
      "    Residual: 1.0443360876001055e-10   3\n",
      "    Residual: 1.0308358967233637e-10   4\n",
      "Activation:  []\n",
      "Increment: 359    Initial Residual: 0.09142345103789344\n",
      "    Residual: 0.0001279383842749203   0\n",
      "    Residual: 1.593773299003706e-10   1\n",
      "    Residual: 1.221452298101821e-10   2\n",
      "    Residual: 1.3038117728412981e-10   3\n",
      "    Residual: 1.1681728095154385e-10   4\n",
      "Activation:  []\n",
      "Increment: 360    Initial Residual: 0.10172118116710409\n",
      "    Residual: 9.531292085252651e-05   0\n",
      "    Residual: 1.6157428861844865e-10   1\n",
      "    Residual: 1.0879138408923749e-10   2\n",
      "    Residual: 1.6401991642284232e-10   3\n",
      "    Residual: 1.7722651537111903e-10   4\n",
      "Activation:  []\n",
      "Increment: 361    Initial Residual: 0.11182676775926333\n",
      "    Residual: 1.2179876113987718e-10   0\n",
      "    Residual: 1.4608303378714472e-10   1\n",
      "    Residual: 1.0601498378308093e-10   2\n",
      "Activation:  []\n",
      "Increment: 362    Initial Residual: 0.12136821332803757\n",
      "    Residual: 1.7586513160788091e-10   0\n",
      "    Residual: 9.879993879104808e-11   1\n",
      "Activation:  []\n",
      "Increment: 363    Initial Residual: 0.12986371564206287\n",
      "    Residual: 0.00020956601485964615   0\n",
      "    Residual: 1.2147573597690377e-10   1\n",
      "Activation:  []\n",
      "Increment: 364    Initial Residual: 0.13990490939713304\n",
      "    Residual: 6.197409909379578e-05   0\n",
      "    Residual: 1.7958484816450714e-10   1\n",
      "    Residual: 2.053427624211179e-10   2\n",
      "    Residual: 1.942904185646801e-10   3\n",
      "    Residual: 2.024805481433673e-10   4\n",
      "Activation:  []\n",
      "Increment: 365    Initial Residual: 0.14903803149325923\n",
      "    Residual: 0.0004661716469550031   0\n",
      "    Residual: 2.9388988599889034e-10   1\n",
      "    Residual: 1.3027030284756833e-10   2\n",
      "Activation:  []\n",
      "Increment: 366    Initial Residual: 0.1566833075703413\n",
      "    Residual: 0.00015634189239292483   0\n",
      "    Residual: 1.5447599644758028e-10   1\n",
      "Activation:  []\n",
      "Increment: 367    Initial Residual: 0.16325449312095053\n",
      "    Residual: 0.00025373086833831426   0\n",
      "    Residual: 2.2632368042182e-06   1\n",
      "    Residual: 1.0921828395177694e-10   2\n",
      "Activation:  []\n",
      "Increment: 368    Initial Residual: 0.17042362902843078\n",
      "    Residual: 0.00028282054383200485   0\n",
      "    Residual: 5.228117357925295e-05   1\n",
      "    Residual: 8.407726055881564e-11   2\n",
      "Activation:  []\n",
      "Increment: 369    Initial Residual: 0.1758651699593563\n",
      "    Residual: 0.0003128542331559258   0\n",
      "    Residual: 3.296109305147037e-05   1\n",
      "    Residual: 1.186287820159358e-10   2\n",
      "Activation:  []\n",
      "Increment: 370    Initial Residual: 0.17793782456660723\n",
      "    Residual: 0.00026005441990387015   0\n",
      "    Residual: 1.023564853439371e-09   1\n",
      "    Residual: 1.2482135858810847e-10   2\n",
      "Activation:  []\n",
      "Increment: 371    Initial Residual: 0.17718021970255024\n",
      "    Residual: 0.00024308061378523684   0\n",
      "    Residual: 1.971215020518402e-05   1\n",
      "    Residual: 8.928807705117091e-11   2\n",
      "Activation:  []\n",
      "Increment: 372    Initial Residual: 0.17498750721843187\n",
      "    Residual: 0.0002652910806870717   0\n",
      "    Residual: 1.2680339462874334e-10   1\n",
      "Activation:  []\n",
      "Increment: 373    Initial Residual: 0.17236709511911294\n",
      "    Residual: 0.00030200380035196424   0\n",
      "    Residual: 7.69761074928294e-06   1\n",
      "    Residual: 1.7813968021739986e-10   2\n",
      "    Residual: 1.5955955865352809e-10   3\n",
      "Activation:  []\n",
      "Increment: 374    Initial Residual: 0.1684482797205701\n",
      "    Residual: 0.000225310289862613   0\n",
      "    Residual: 5.424197779041535e-06   1\n",
      "    Residual: 1.2976877932837254e-10   2\n",
      "Activation:  []\n",
      "Increment: 375    Initial Residual: 0.16471858590138785\n",
      "    Residual: 0.00028872789248154967   0\n",
      "    Residual: 1.5083135108674493e-10   1\n",
      "Activation:  []\n",
      "Increment: 376    Initial Residual: 0.15984332377749938\n",
      "    Residual: 0.00017605656658601425   0\n",
      "    Residual: 1.133434502994181e-06   1\n",
      "    Residual: 1.2689288720074462e-10   2\n",
      "Activation:  []\n",
      "Increment: 377    Initial Residual: 0.1554227528201111\n",
      "    Residual: 0.0005418402689151045   0\n",
      "    Residual: 6.72970808846484e-09   1\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Residual: 1.1133013649271305e-10   2\n",
      "Activation:  []\n",
      "Increment: 378    Initial Residual: 0.1504207598179401\n",
      "    Residual: 0.0005744379649064437   0\n",
      "    Residual: 1.4815221064710124e-10   1\n",
      "Activation:  []\n",
      "Increment: 379    Initial Residual: 0.14518105750477897\n",
      "    Residual: 0.0005820748511738619   0\n",
      "    Residual: 7.230008535069756e-05   1\n",
      "    Residual: 1.4285333722144158e-10   2\n",
      "Activation:  []\n",
      "Increment: 380    Initial Residual: 0.13977150697210378\n",
      "    Residual: 0.00039997736483060034   0\n",
      "    Residual: 1.8909887545308392e-10   1\n",
      "    Residual: 1.3628167336602039e-10   2\n",
      "Activation:  []\n",
      "Increment: 381    Initial Residual: 0.13447942334093055\n",
      "    Residual: 0.0006939219342564535   0\n",
      "    Residual: 6.932859865434901e-06   1\n",
      "    Residual: 2.2682211619140296e-10   2\n",
      "    Residual: 1.638064115639821e-10   3\n",
      "    Residual: 2.0568582387744237e-10   4\n",
      "Activation:  []\n",
      "Increment: 382    Initial Residual: 0.12897555152634815\n",
      "    Residual: 0.0006124482679789215   0\n",
      "    Residual: 4.6000188532643246e-05   1\n",
      "    Residual: 1.6511977630005705e-10   2\n",
      "    Residual: 1.5783484974762767e-10   3\n",
      "    Residual: 1.0779651520953327e-10   4\n",
      "Activation:  []\n",
      "Increment: 383    Initial Residual: 0.12403030016510173\n",
      "    Residual: 0.00032873642094425964   0\n",
      "    Residual: 3.245495118939607e-05   1\n",
      "    Residual: 9.36756459652159e-11   2\n",
      "Activation:  []\n",
      "Increment: 384    Initial Residual: 0.12198015421159791\n",
      "    Residual: 0.0004127312523440255   0\n",
      "    Residual: 2.9577481929647043e-09   1\n",
      "    Residual: 1.3066148356665044e-10   2\n",
      "    Residual: 1.4347951583984324e-10   3\n",
      "    Residual: 1.618592996853332e-10   4\n",
      "Activation:  []\n",
      "Increment: 385    Initial Residual: 0.12258219337859604\n",
      "    Residual: 0.0002896307330534942   0\n",
      "    Residual: 2.0302321415046867e-10   1\n",
      "    Residual: 1.3964389665291842e-10   2\n",
      "    Residual: 1.283351643269196e-10   3\n",
      "    Residual: 1.324553684200584e-10   4\n",
      "Activation:  []\n",
      "Increment: 386    Initial Residual: 0.12495333016212264\n",
      "    Residual: 0.00023035712271232456   0\n",
      "    Residual: 1.333826895032101e-10   1\n",
      "    Residual: 1.7796782703933376e-10   2\n",
      "    Residual: 1.4071993119999195e-10   3\n",
      "    Residual: 9.863380269689027e-11   4\n",
      "Activation:  []\n",
      "Increment: 387    Initial Residual: 0.1276417959543715\n",
      "    Residual: 0.00016499432106446862   0\n",
      "    Residual: 1.4063848193878159e-10   1\n",
      "    Residual: 1.1229586205212978e-10   2\n",
      "Activation:  []\n",
      "Increment: 388    Initial Residual: 0.13127527827289967\n",
      "    Residual: 9.92604197381481e-11   0\n",
      "Activation:  []\n",
      "Increment: 389    Initial Residual: 0.13634113545858417\n",
      "    Residual: 1.0831049910641378e-10   0\n",
      "Activation:  []\n",
      "Increment: 390    Initial Residual: 0.14073783704000342\n",
      "    Residual: 1.3338264389850578e-10   0\n",
      "Activation:  []\n",
      "Increment: 391    Initial Residual: 0.14427736593926005\n",
      "    Residual: 0.00030921807155250247   0\n",
      "    Residual: 2.0047665753498197e-10   1\n",
      "    Residual: 1.1252886369010825e-10   2\n",
      "Activation:  []\n",
      "Increment: 392    Initial Residual: 0.14732245219792436\n",
      "    Residual: 7.251020209871502e-05   0\n",
      "    Residual: 1.1421702207099789e-10   1\n",
      "Activation:  []\n",
      "Increment: 393    Initial Residual: 0.15084403796841764\n",
      "    Residual: 1.177935199330753e-10   0\n",
      "Activation:  []\n",
      "Increment: 394    Initial Residual: 0.15526613727010757\n",
      "    Residual: 1.115926020947433e-10   0\n",
      "Activation:  []\n",
      "Increment: 395    Initial Residual: 0.1594184765298066\n",
      "    Residual: 0.0002796498647203785   0\n",
      "    Residual: 3.523830342866742e-10   1\n",
      "    Residual: 1.164349436170267e-10   2\n",
      "Activation:  []\n",
      "Increment: 396    Initial Residual: 0.16295452434952276\n",
      "    Residual: 0.00013237491274244848   0\n",
      "    Residual: 1.4503903660384232e-10   1\n",
      "Activation:  []\n",
      "Increment: 397    Initial Residual: 0.1660475541405671\n",
      "    Residual: 0.00016791020433255192   0\n",
      "    Residual: 1.2451976252618407e-10   1\n",
      "Activation:  []\n",
      "Increment: 398    Initial Residual: 0.16980904937743782\n",
      "    Residual: 0.000308558115652959   0\n",
      "    Residual: 1.3121643063086261e-10   1\n",
      "Activation:  []\n",
      "Increment: 399    Initial Residual: 0.17211604263610866\n",
      "    Residual: 0.00018797266603406293   0\n",
      "    Residual: 1.3482768363921085e-10   1\n",
      "Activation:  []\n",
      "Increment: 400    Initial Residual: 0.17355437681273994\n",
      "    Residual: 0.00019080186100971577   0\n",
      "    Residual: 1.411940775190934e-10   1\n",
      "Activation:  []\n"
     ]
    }
   ],
   "source": [
    "from dolfin import *\n",
    "import numpy as np\n",
    "parameters[\"form_compiler\"][\"representation\"] = 'quadrature'\n",
    "import warnings\n",
    "from ffc.quadrature.deprecation import QuadratureRepresentationDeprecationWarning\n",
    "warnings.simplefilter(\"once\", QuadratureRepresentationDeprecationWarning)\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Form compiler options\n",
    "parameters[\"form_compiler\"][\"cpp_optimize\"] = True\n",
    "parameters[\"form_compiler\"][\"optimize\"] = True\n",
    "\n",
    "# Define mesh\n",
    "mesh = UnitIntervalMesh(50)\n",
    "#mesh = RectangleMesh(Point(0., 0.), Point(1., 0.1), 50, 5)\n",
    "\n",
    "print(\"Plotting a UnitIntervalMesh:\")\n",
    "plt.figure()\n",
    "plot(mesh, title=\"UnitIntervalMesh\")\n",
    "\n",
    "# =========================================================\n",
    "# DEFINE BOUNDARY ELEMENTS\n",
    "\n",
    "tol = 1E-12\n",
    "# Sub domain for clamp at left end\n",
    "def left(x, on_boundary):\n",
    "    return near(x[0], 0.,tol) and on_boundary\n",
    "\n",
    "# Sub domain for rotation at right end\n",
    "def right(x, on_boundary):\n",
    "    return near(x[0], 1.,tol) and on_boundary\n",
    "\n",
    "# Create mesh function over the cell facets\n",
    "boundary_subdomains = MeshFunction(\"size_t\", mesh, mesh.topology().dim() - 1)\n",
    "boundary_subdomains.set_all(0)\n",
    "force_boundary = AutoSubDomain(right)\n",
    "force_boundary.mark(boundary_subdomains, 3)\n",
    "\n",
    "# Define measure for boundary condition integral\n",
    "dss = ds(subdomain_data=boundary_subdomains)\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# DEFINE MAT. PROPERTIES\n",
    "\n",
    "E = Constant(70e3)\n",
    "nu = Constant(0.3)\n",
    "lmbda = E*nu/(1+nu)/(1-2*nu)\n",
    "mu = E/2./(1+nu)\n",
    "sig0 = Constant((1e-6))  # yield strength\n",
    "Et = E/100.  # tangent modulus\n",
    "H = E*Et/(E-Et)  # hardening modulus\n",
    "rho = Constant(5e4)\n",
    "\n",
    "# Time steps\n",
    "Nincr = 400\n",
    "load_steps = np.linspace(0, 4, Nincr+1)[1:]\n",
    "\n",
    "dt = Constant(load_steps[1]-load_steps[0])\n",
    "dt_ = float(dt)\n",
    "\n",
    "# Newmark-beta method\n",
    "betaN = Constant(0.25)\n",
    "gammaN = Constant(0.5)\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# DEFINE ELEMENT FUNCTION SPACE AND VARIABLES\n",
    "\n",
    "deg_u = 2\n",
    "deg_stress = 2\n",
    "V = FunctionSpace(mesh, \"CG\", deg_u)\n",
    "\n",
    "We = VectorElement(\"Quadrature\", mesh.ufl_cell(), degree=deg_stress, dim=1, quad_scheme='default')\n",
    "W = FunctionSpace(mesh, We)\n",
    "W0e = FiniteElement(\"Quadrature\", mesh.ufl_cell(), degree=deg_stress, quad_scheme='default')\n",
    "W0 = FunctionSpace(mesh, W0e)\n",
    "# Define function space for stresses\n",
    "Vsig = VectorFunctionSpace(mesh, \"DG\", 0)\n",
    "\n",
    "V_LM = VectorFunctionSpace(mesh, \"CG\", degree=deg_stress, dim=3)\n",
    "\n",
    "L_activation = Function(V_LM)\n",
    "\n",
    "sig = Function(W)\n",
    "sig_old = Function(W)\n",
    "beta = Function(W0)\n",
    "gamma0 = Function(W0)\n",
    "gamma0.interpolate(Constant(1e-5))\n",
    "u = Function(V, name=\"Total displacement\")\n",
    "u_pre = Function(V)\n",
    "u_old = Function(V)\n",
    "u_d_old = Function(V)\n",
    "u_dd_old = Function(V)\n",
    "du = Function(V, name=\"Iteration correction\")\n",
    "Du = Function(V, name=\"Current increment\")\n",
    "v = TrialFunction(V)\n",
    "u_ = TestFunction(V)\n",
    "\n",
    "sig_out = Function(Vsig, name=\"sigma\")\n",
    "eps_out = Function(Vsig, name=\"epsilon\")\n",
    "\n",
    "# Set of variables for MPII model\n",
    "N_MP = 30; # Number of yielding surface\n",
    "Vn = VectorFunctionSpace(mesh, \"DG\", degree=0, dim=N_MP)\n",
    "\n",
    "Wne = VectorElement(\"Quadrature\", mesh.ufl_cell(), degree=deg_stress, dim=N_MP, quad_scheme='default')\n",
    "Wn = FunctionSpace(mesh, Wne)\n",
    "# Wn = VectorFunctionSpace(mesh, \"CG\", degree=deg_stress, dim=3)\n",
    "\n",
    "F_MP_n = Function(Wn)\n",
    "alpha_MP_n = Function(Wn)\n",
    "L_MP = Function(Wn)\n",
    "k_MP_n = Function(Wn)\n",
    "\n",
    "L_MP1 = Function(Vn)\n",
    "\n",
    "metadata = {\"quadrature_degree\": deg_stress, \"quadrature_scheme\": \"default\"}\n",
    "dxm = dx(metadata=metadata)\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# DEFINE MPII MODEL PARA. \n",
    "\n",
    "sample_MP = np.linspace(0.3,9,N_MP)\n",
    "C_MP = np.zeros((N_MP,1))\n",
    "k_MP = np.zeros((N_MP,))\n",
    "# Generate yielding surface parameters with the bone curve\n",
    "strain_ref_MP = 1e-6;\n",
    "# Normalized bone curve function\n",
    "def bone_MPII(strain):\n",
    "    k_ = strain_ref_MP*np.log(1+strain/strain_ref_MP)\n",
    "    G_ = 1/(1+strain/strain_ref_MP)\n",
    "    return k_, G_\n",
    "\n",
    "for i_sample in range(N_MP):\n",
    "    k_MP[i_sample], G_n_MP = bone_MPII(sample_MP[i_sample]*strain_ref_MP)\n",
    "    if i_sample > 0:\n",
    "        C_MP[i_sample] = 1 / (1/2/mu/G_n_MP - 1/2/mu - np.sum(1/C_MP[0:i_sample]))\n",
    "    else:\n",
    "        C_MP[i_sample] = 1 / (1/2/mu/G_n_MP - 1/2/mu)\n",
    "    # C_MP[i_sample] = G_n_MP\n",
    "\n",
    "k_MP = k_MP*float(mu)\n",
    "    \n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(sample_MP*strain_ref_MP,C_MP)\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(sample_MP*strain_ref_MP,k_MP)\n",
    "plt.show()\n",
    "\n",
    "k_MP_n.interpolate(Constant(k_MP))\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# DEFINE NEUMANN BCs \n",
    "\n",
    "n = FacetNormal(mesh)\n",
    "q_lim = float(2/sqrt(3)*sig0*mu*2)\n",
    "# loading = Expression(\"q*t\", q=q_lim, t=0, degree=2)\n",
    "# sin(2*pi/0.6*t)\n",
    "# q*t*(1-t)*4\n",
    "loading = Expression((\"t <= tc ? q*sin(2*pi/0.6*t) : 0\"), q=0.5*q_lim, t=0, tc=1.2, degree=2)\n",
    "# p = Expression((\"t <= tc ? p0*t/tc : 0\", \"0\", \"0\"), t=0, tc=cutoff_Tc, p0=p0, degree=0)\n",
    "\n",
    "def F_ext(v):\n",
    "    return dot(loading,v)*dss(3)\n",
    "    # return loading*dot(n, v)*dss(3)\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# DEFINE FUNCTIONS FOR FUNCTIONAL CONSTRUCTION\n",
    "\n",
    "def eps(v):\n",
    "    e = 0.5*grad(v)\n",
    "    return e\n",
    "\n",
    "def sigma(eps_el):\n",
    "    return 2*mu*eps_el\n",
    "\n",
    "def sigma_out(r):\n",
    "    return 2.0*mu*sym(grad(r))\n",
    "\n",
    "tol_err = 1e-10\n",
    "def sigma_tang(e):\n",
    "    inv_modulus = 1/2/mu\n",
    "    for i_n in range(N_MP):\n",
    "        inv_modulus += L_MP[i_n]/C_MP[i_n]/(L_MP[i_n]+tol_err)\n",
    "    modulus = 1/inv_modulus\n",
    "    return modulus[0]*e\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# DEFINE LHS MATRIX AND RHS RESIDUAL\n",
    "a_Newton = rho*inner(u_,v)/(betaN*dt*dt)*dxm + inner(2*eps(u_), sigma_tang(eps(v)) )*dxm\n",
    "\n",
    "res = (-rho)*inner(u_,u)/(betaN*dt*dt)*dxm + \\\n",
    "      -inner(2*eps(u_), sig)*dxm + \\\n",
    "      F_ext(u_) + \\\n",
    "      rho*inner(u_old+dt*u_d_old,u_)*1./(betaN*dt*dt)*dxm + \\\n",
    "      (1.-2*betaN)/(2*betaN)*rho*inner(u_dd_old,u_)*dxm\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# DEFINE FUNCTIONS FOR FUNCTION PROJECTION\n",
    "def local_project(v, V, u=None):\n",
    "    dv = TrialFunction(V)\n",
    "    v_ = TestFunction(V)\n",
    "    a_proj = inner(dv, v_)*dxm\n",
    "    b_proj = inner(v, v_)*dxm\n",
    "    solver = LocalSolver(a_proj, b_proj)\n",
    "    solver.factorize()\n",
    "    if u is None:\n",
    "        u = Function(V)\n",
    "        solver.solve_local_rhs(u)\n",
    "        return u\n",
    "    else:\n",
    "        solver.solve_local_rhs(u)\n",
    "        return\n",
    "\n",
    "def proj_sig(old_u,old_sig,old_Du,old_alpha_MP_n):\n",
    "    tol_err = 1e-10\n",
    "    deps_old = eps(old_Du)\n",
    "    dsig = sigma_tang(deps_old)\n",
    "    sig_new = dsig+old_sig\n",
    "    L_MP = (abs( abs( sig_new[0]*Ones_ufl - old_alpha_MP_n) - k_MP_n ) \\\n",
    "               + abs( sig_new[0]*Ones_ufl - old_alpha_MP_n) - k_MP_n ) / 2\n",
    "    alpha_MP_n = old_alpha_MP_n + (L_MP)*abs(deps_old[0])/(tol_err+deps_old[0])\n",
    "    return dsig+old_sig, alpha_MP_n    \n",
    "\n",
    "ppos = lambda x: (x+abs(x))/2.\n",
    "\n",
    "Ones_ufl = Function(Wn)\n",
    "Ones_ufl.interpolate(Constant( np.ones((N_MP,)) ))\n",
    "\n",
    "def activation(Du,sig_old,alpha_MP_old):\n",
    "    # L_MP_array = np.zeros((N_MP,))\n",
    "    sig_new = 2*mu*eps(Du) + sig_old\n",
    "    L_MP = (abs( abs( sig_new[0]*Ones_ufl - alpha_MP_old) - k_MP_n ) \\\n",
    "               + abs( sig_new[0]*Ones_ufl - alpha_MP_old) - k_MP_n ) / 2\n",
    "        # L_MP[i_n] = conditional(gt(judge_act,0), 1, 0)\n",
    "        # if judge_act > 0:\n",
    "        #     L_MP[i_n] = 1\n",
    "        # else:\n",
    "        #     L_MP[i_n] = 0\n",
    "    return L_MP\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# DEFINE FUNCTIONS FOR U, V, A UPDATE\n",
    "\n",
    "# Update formula for acceleration\n",
    "# a = 1/(2*beta)*((u - u0 - v0*dt)/(0.5*dt*dt) - (1-2*beta)*a0)\n",
    "def update_a(u, u_old, v_old, a_old, ufl=True):\n",
    "    if ufl:\n",
    "        dt_ = dt\n",
    "        betaN_ = betaN\n",
    "    else:\n",
    "        dt_ = float(dt)\n",
    "        betaN_ = float(betaN)\n",
    "    return (u-u_old-dt_*v_old)/betaN_/dt_**2 - (1-2*betaN_)/2/betaN_*a_old\n",
    "\n",
    "# Update formula for velocity\n",
    "# v = dt * ((1-gamma)*a0 + gamma*a) + v0\n",
    "def update_v(a, u_old, v_old, a_old, ufl=True):\n",
    "    if ufl:\n",
    "        dt_ = dt\n",
    "        gamma_ = gammaN\n",
    "    else:\n",
    "        dt_ = float(dt)\n",
    "        gamma_ = float(gammaN)\n",
    "    return v_old + dt_*((1-gamma_)*a_old + gamma_*a)\n",
    "\n",
    "def update_fields(u, u_old, v_old, a_old):\n",
    "    \"\"\"Update fields at the end of each time step.\"\"\"\n",
    "\n",
    "    # Get vectors (references)\n",
    "    u_vec, u0_vec  = u.vector(), u_old.vector()\n",
    "    v0_vec, a0_vec = v_old.vector(), a_old.vector()\n",
    "\n",
    "    # use update functions using vector arguments\n",
    "    a_vec = update_a(u_vec, u0_vec, v0_vec, a0_vec, ufl=False)\n",
    "    v_vec = update_v(a_vec, u0_vec, v0_vec, a0_vec, ufl=False)\n",
    "\n",
    "    # Update (u_old <- u)\n",
    "    v_old.vector()[:], a_old.vector()[:] = v_vec, a_vec\n",
    "    u_old.vector()[:] = u.vector()\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# FILE OUTPUT\n",
    "    \n",
    "file_results = XDMFFile(\"nonlinearMPII1D__results.xdmf\")\n",
    "file_results.parameters[\"flush_output\"] = True\n",
    "file_results.parameters[\"functions_share_mesh\"] = True\n",
    "# =========================================================\n",
    "\n",
    "# =========================================================\n",
    "# ITERATIVE SOLVER\n",
    "\n",
    "results = np.zeros((Nincr+1, 5))\n",
    "results_1d = np.zeros((Nincr+1, 50))\n",
    "results_2d = np.zeros((Nincr+1, N_MP))\n",
    "\n",
    "Nitermax, tol = 5, 1e-9  # parameters of the Newton-Raphson procedure\n",
    "\n",
    "# Set up Dirichlet boundary condition at left end\n",
    "zero = Constant(0.0)\n",
    "bc_newton = DirichletBC(V, zero, left)\n",
    "\n",
    "bc = DirichletBC(V, zero, left)\n",
    "# bc = [DirichletBC(V.sub(1), 0, facets, 1), DirichletBC(V.sub(0), 0, facets, 3)]\n",
    "\n",
    "# Initial conditions\n",
    "u_old.interpolate( Expression((\"0\"), degree=2) )\n",
    "u_d_old.interpolate( Expression((\"0\"), degree=2) )\n",
    "\n",
    "for (i, t) in enumerate(load_steps):\n",
    "    loading.t = t\n",
    "    \n",
    "    u_pre.assign(u)\n",
    "    \n",
    "    # Prepare for U_n+1^0 from U_n\n",
    "    bc.apply(u.vector())\n",
    "    Du.assign(u-u_pre)\n",
    "    \n",
    "    # print(\"Activation: \",L_MP_(1))\n",
    "    # local_project(L_MP, Vsig, sig_out)\n",
    "    # print(\"Activation: \",sig_out(1))\n",
    "    \n",
    "    L_MP_ = activation(Du,sig_old,alpha_MP_n)\n",
    "    local_project(L_MP_, Vn, L_MP1)\n",
    "    local_project(L_MP_, Wn, L_MP)\n",
    "    sig_, alpha_MP_n_ = proj_sig(u_pre,sig_old,Du,alpha_MP_n)\n",
    "    local_project(sig_, W, sig)\n",
    "    local_project(alpha_MP_n_, Wn, alpha_MP_n)\n",
    "    \n",
    "    A, Res = assemble_system(a_Newton, res, bc_newton)\n",
    "    nRes0 = Res.norm(\"l2\")\n",
    "    nRes = nRes0\n",
    "    \n",
    "    print(\"Increment:\", str(i+1),\"   Initial Residual:\", nRes0)\n",
    "    niter = 0\n",
    "    \n",
    "    while (nRes/nRes0 > tol and nRes0>1e-10) and niter < Nitermax:\n",
    "        solve(A, du.vector(), Res, \"mumps\")\n",
    "        Du.assign(Du+du)\n",
    "        u.assign(u+du) # u^{k+1}_{n+1}\n",
    "        L_MP_ = activation(Du,sig_old,alpha_MP_n)\n",
    "        # print(\"Activation: \",L_MP_(1))\n",
    "        local_project(L_MP_, Vn, L_MP1)\n",
    "        local_project(L_MP_, Wn, L_MP)\n",
    "        sig_, alpha_MP_n_ = proj_sig(u_pre,sig_old,Du,alpha_MP_n)\n",
    "        local_project(sig_, W, sig)\n",
    "        local_project(alpha_MP_n_, Wn, alpha_MP_n)\n",
    "        A, Res = assemble_system(a_Newton, res, bc_newton)\n",
    "        nRes = Res.norm(\"l2\")\n",
    "        print(\"    Residual:\", nRes,\" \",niter)\n",
    "        niter += 1\n",
    "    u.assign(u_pre+Du)\n",
    "    \n",
    "    update_fields(u, u_old, u_d_old, u_dd_old)\n",
    "    \n",
    "    sig_old.assign(sig)\n",
    "    \n",
    "    print(\"Activation: \",L_MP1(1)[L_MP1(1)>1e-10])\n",
    "# ----------------\n",
    "# Post-processing\n",
    "# ----------------\n",
    "#\n",
    "# Inside the incremental loop, the displacement and plastic strains are exported\n",
    "# at each time increment, the plastic strain must first be projected onto the\n",
    "# previously defined DG FunctionSpace. We also monitor the value of the cylinder\n",
    "# displacement on the inner boundary. The load-displacement curve is then plotted::\n",
    "\n",
    "    local_project(sig, Vsig, sig_out)\n",
    "    local_project(eps(u), Vsig, eps_out)\n",
    "    # local_project(alpha_MP_n, V_LM, L_activation)\n",
    "    # print(\"alpha_MP_n: \",alpha_MP_n[0](1))\n",
    "    # local_project(L_MP, V_LM, L_activation)\n",
    "    # print(\"Activation: \",L_MP(1))\n",
    "    \n",
    "    file_results.write(u, t)\n",
    "    \n",
    "    results_2d[i+1,:] = L_MP1(1)[:]\n",
    "    for i_x in range(50):\n",
    "        results_1d[i+1,i_x] = u(i_x/50)\n",
    "    tc = 1.2;\n",
    "    if t<tc:\n",
    "        # results[i+1, :] = (u(1),t,4*t*(1-t))\n",
    "        results[i+1, :] = (u(1), sig_out(1),t,4*t*(1-t),eps_out(1))\n",
    "    else:\n",
    "        results[i+1, :] = (u(1), sig_out(1),t,0,eps_out(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1fa8e61a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "5c1420ec",
   "metadata": {},
   "source": [
    "# Visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "957b8059",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "from matplotlib.animation import FuncAnimation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8e4e8c9e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_65276/1685967887.py:9: RuntimeWarning: invalid value encountered in true_divide\n",
      "  stress_theo = 2*float(mu)*float(sig0)*np.log(1+abs(results[:N_pt, 4])/float(sig0))\\\n"
     ]
    }
   ],
   "source": [
    "# MPII\n",
    "# 2*float(mu)*float(sig0)*np.log(1+abs(results[:N_pt, 4])/float(sig0))\\\n",
    "#           *abs(results[:N_pt, 4])/results[:N_pt, 4]\n",
    "\n",
    "# Simple case\n",
    "# 2*float(mu)*results[:N_pt, 4]*(1+ (2*results[:N_pt, 4]/float(sig0))**2 )\n",
    "\n",
    "N_pt = 500;\n",
    "stress_theo = 2*float(mu)*float(sig0)*np.log(1+abs(results[:N_pt, 4])/float(sig0))\\\n",
    "            *abs(results[:N_pt, 4])/results[:N_pt, 4]\n",
    "stress_lin = 2*float(mu)*results[:N_pt, 4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "263a0c08",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
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       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<img 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\" width=\"1556\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.subplots()\n",
    "plt.subplot(1,4,1)\n",
    "plt.plot(results[:, 0], results[:, 1], \"-*\")\n",
    "# plt.plot(results[:, 0], results[:, 3]*0.5*q_lim, \".\")\n",
    "plt.xlabel(\"Displacement\")\n",
    "plt.ylabel(\"$\\sigma_{xx,yy}$ at the right end\")\n",
    "# plt.legend([\"$\\sigma_{yy}$\",\"$\\sigma_{xx}$\",\"Loads\"])\n",
    "plt.subplot(1,4,2)\n",
    "plt.plot(results[:, 2], results[:, 1], \"-.\")\n",
    "# plt.plot(results[:, 2], results[:, 3]*0.5*q_lim, \".\")\n",
    "plt.xlabel(\"Loading steps\")\n",
    "plt.ylabel(\"$\\sigma_{xx}$ at the right end\")\n",
    "# plt.legend([\"$\\sigma_{yy}$\",\"Loads\"])\n",
    "plt.subplot(1,4,3)\n",
    "plt.plot(results[:, 2], results[:, 0], \"-.\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Displacement at the right end\")\n",
    "plt.subplot(1,4,4)\n",
    "plt.plot(results[:, 4], results[:, 1], \"-\")\n",
    "# plt.plot(results[:, 4], stress_theo, \"-\")\n",
    "plt.xlabel(\"Strain and the right end\")\n",
    "plt.ylabel(\"Stress at the right end\")\n",
    "# plt.plot(sample_MP*strain_ref_MP,sqrt(2)*k_MP)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1e93efca",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c9a998a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots()\n",
    "\n",
    "plt.plot(results[:, 2],results_2d[:, 0]/(1e-10+results_2d[:, 0]), \".\")\n",
    "plt.plot(results[:, 2],results_2d[:, 4]/(1e-10+results_2d[:, 4]), \".\")\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d02305e7",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "341bd088",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "line, = ax.plot([])\n",
    "\n",
    "ax.set_xlim(0,1)\n",
    "ax.set_ylim(-0.1e-5,0.1e-5)\n",
    "\n",
    "def animate(frame_num):\n",
    "    # ax.clear()\n",
    "    line.set_data((np.linspace(0,1,50), results_1d[frame_num, :]))\n",
    "    return line\n",
    "\n",
    "ani = FuncAnimation(fig, animate, frames=Nincr, interval=10)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "fenicsproject",
   "language": "python",
   "name": "fenicsproject"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
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