simmulate_songs-z028.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Goes from the input of synthesizer_working (C) to a pickle file \n",
    "## with the template of the model streams"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2017-10-24 11:49:58,035 root         INFO     Computer: passaro\n"
     ]
    }
   ],
   "source": [
    "# simmulate songs from three parameter series (arranges the series too)\n",
    "from __future__ import division\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy.signal import spectrogram\n",
    "import scipy.signal as sg\n",
    "import socket\n",
    "import os\n",
    "import sys\n",
    "import logging\n",
    "import h5py\n",
    "import copy\n",
    "import glob\n",
    "import shutil\n",
    "\n",
    "logger = logging.getLogger()\n",
    "handler = logging.StreamHandler()\n",
    "formatter = logging.Formatter(\n",
    "        '%(asctime)s %(name)-12s %(levelname)-8s %(message)s')\n",
    "handler.setFormatter(formatter)\n",
    "logger.addHandler(handler)\n",
    "logger.setLevel(logging.INFO)\n",
    "\n",
    "# Check wich computer to decide where the things are mounted\n",
    "comp_name=socket.gethostname()\n",
    "logger.info('Computer: ' + comp_name)\n",
    "\n",
    "if 'txori' in comp_name or 'passaro' in comp_name or 'lintu' in comp_name:\n",
    "    repos_folder = os.path.abspath('/mnt/cube/earneodo/repos')\n",
    "    experiment_folder = os.path.join('/mnt/cube/earneodo/bci_zf/')\n",
    "\n",
    "if 'lookfar' in comp_name:\n",
    "    repos_folder = os.path.abspath('/Users/zeke/repos/')\n",
    "    experiment_folder = os.path.join('/Users/zeke/bci_zf/')\n",
    "\n",
    "sys.path.append(os.path.join(repos_folder, 'swissknife'))\n",
    "\n",
    "#setup the data folder\n",
    "from swissknife.h5tools import h5tools\n",
    "from swissknife.h5tools import tables\n",
    "from swissknife.dynamo import finch as zf\n",
    "from swissknife.dynamo import takens as tk\n",
    "from swissknife.bci.core import expstruct as es\n",
    "from swissknife.bci import synthetic as syn\n",
    "from swissknife.streamtools import streams as st\n",
    "\n",
    "def plot_spectrogram(x, before_ms, after_ms, s_f, n_window = 192, n_overlap = None, sigma=None, ax=None, **kwargs):\n",
    "    \n",
    "    if n_overlap is None:\n",
    "        n_overlap = n_window/2\n",
    "    if sigma is None:\n",
    "        sigma = 1./1000.*s_f\n",
    "    \n",
    "    # Make the spectrogram\n",
    "    f, t, Sxx = spectrogram(x, s_f, nperseg = n_window, noverlap=n_overlap, window = sg.gaussian(n_window, sigma), \n",
    "                            scaling='spectrum')\n",
    "    \n",
    "    Sxx[[Sxx<np.max((Sxx)*0.000065)]]=1\n",
    "\n",
    "    span_before = np.zeros((Sxx.shape[0], np.int(before_ms/1000. * s_f)))\n",
    "    span_after = np.zeros((Sxx.shape[0], np.int(after_ms/1000. * s_f) + x.size - Sxx.shape[1]))\n",
    "    span_before[:] = np.nan\n",
    "    span_after[:] = np.nan\n",
    "    #Sxx = np.hstack((span_before, (Sxx), span_after))\n",
    "    \n",
    "    if ax is None:\n",
    "        spec_fig = plt.figure()\n",
    "        ax = spec_fig.add_axes([0, 0, 1, 1])\n",
    "        \n",
    "    ax.pcolormesh(((t-0.5*n_window/s_f)*1000.), f, np.log(Sxx), rasterized=True, cmap='inferno')\n",
    "    ax.set_xlim(-before_ms, after_ms + int(x.size/s_f * 1000.))\n",
    "    ax.set_ylim(0,10000)\n",
    "    #ax.plot((span_before.shape[1], span_before.shape[1]), (np.min(f), np.max(f)), 'k--')\n",
    "    \n",
    "    return Sxx, ax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sys_pars = {'alpha_1': 0.15,\n",
    "            'beta_1': 0.15,\n",
    "            'alpha_2': 0.15,\n",
    "            'beta_2': 0.15,\n",
    "            'gamma': 23500.,\n",
    "            'Ch_inv': 4.5E10,\n",
    "            'Lb_inv': 1.E-4,\n",
    "            'Lg_inv': 1/82.,\n",
    "            'Rb': 5E6,\n",
    "            'Rh': 6E5,\n",
    "            'V_ext': 0.,\n",
    "            'dV_ext': 0.,\n",
    "            'noise': 0.,\n",
    "            'envelope': 0.,\n",
    "            'noise_fraction_beta_1': 0.1,\n",
    "            'noise_fraction_env': 0.1,\n",
    "            's_f': 44100.,\n",
    "            'steps_per_sample': 20\n",
    "            }\n",
    "\n",
    "vocal_pars = {'sys': sys_pars,\n",
    "              'S_1': 0.2,\n",
    "              'S_2': 0.2,\n",
    "              'S_3': 0.2,\n",
    "              'l_1': 1.5,\n",
    "              'l_2': 1.5,\n",
    "              'l_3': 1.0,\n",
    "              'r_out': 0.1,\n",
    "              'r_12': None,\n",
    "              'r_21': None,\n",
    "              'r_23': None,\n",
    "              'r_32': None,\n",
    "              't_12': None,\n",
    "              't_21': None,\n",
    "              't_23': None,\n",
    "              't_32': None,\n",
    "              't_in': 0.5,\n",
    "              'tau_1': None,\n",
    "              'tau_2': None,\n",
    "              'tau_3': None,\n",
    "              'max_tau': None,\n",
    "              'A_1': 0.,\n",
    "              'A_2': None,\n",
    "              'A_3': None}\n",
    "\n",
    "#lines, ab_g= tk.cusp_grid()\n",
    "#lines, ab_g = tk.cusp_grid(b_max=0.075, b_min=-1 / 3, a_step=1.5E-3, b_steps=1000, b_log_step_exp=6, f_max=None)\n",
    "# plt.plot(lines[:,1], lines[:,0])\n",
    "# plt.plot(lines[:,2], lines[:,0])\n",
    "# plt.plot(ab_g[:,0], ab_g[:,1], '.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "#load values of alpha, beta\n",
    "bird = 'z028'\n",
    "sess = 'day-2017-10-21'\n",
    "syn_sess = 1\n",
    "\n",
    "fn = es.file_names(bird, '{:03d}'.format(syn_sess))\n",
    "\n",
    "alpha, beta, env = syn.load_alpha_beta(bird, syn_sess=syn_sess, s_f=44100, new_s_f=30000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f3e4551cb90>]"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD8CAYAAACVZ8iyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAGvJJREFUeJzt3X+wHeV93/H3x1cIjIDwQ4LIkq4lbHVctTWE3Ago1C6t\ncQSdRk1/RYwbZ6hdDVNTymQ8U3nSetx6Jh532nTGDbGiOpqUtDZJJ8ZWWxkKdhpPgrF1VQshYQlf\nyxBJNogfNoRgA0Lf/nH24qNz79XZvWf37D67n9eMRufs2d3z/Z597vmeffY5z1FEYGZm3famugMw\nM7P6uRiYmZmLgZmZuRiYmRkuBmZmhouBmZnhYmBmZrgYmJkZLgZmZgYsqTuA+SxfvjzWrl1bdxhm\nZsnYu3fvsxGxYrHbN7IYrF27lunp6brDMDNLhqQnR9ne3URmZuZiYGZmLgZmZoaLgZmZ4WJgZmbk\nLAaSNkk6LGlG0rZ5Ht8sab+kfZKmJV2fd1szM6vf0GIgaQK4C7gJ2ADcImnDwGpfBq6IiCuBfwp8\npsC2ZmZWszzfM9gIzETEEQBJ9wCbgcdmV4iIl/rWXwZE3m3H5ZWTr/O7f/oEf/HKyXE/9WnecuGb\n2bJxstA2X/jmcY4889LwFROw7Owl3HrdOpYuGX5SevB7L3D/gafGEFU1LnjzWdx63Tom3qRK9r/v\n6A/5yreeLrTN1ZdfwnVvX37Gdb7zzEt8cd/3oMSfxL3w3KXcet1apJ+8Fk+/+GPu+cZRXj91qrTn\naZKzJt7E+655KxcvW1p3KLnkKQargKN9948BVw+uJOkXgU8AlwJ/p8i22fZbga0Ak5PF3izz2H/s\nBT7xpUPZc5W++1xm/7ZufudKLjjnrJzbBL/6B/s4FfXFXZbZ/KfWXsTPvvXioetv/+Mj/M9Hvpdk\n3rO5Xvf25fzllRdU8hyf+vK3+cqhE7lfnwj4K4dO8L/v+BtnXO+/PvQEd3/tydJe99nX4oZ3XMq6\n5cveWP6Fbx7nPz34OJB+2x40m/OlF5zNL/1c+e9nVSjtG8gRcS9wr6R3AR8H3lNw+x3ADoCpqany\nPpJkXj/V2+Xn/tk1XPu2S8refS47/+S7/Lv/9RhR8IPQqYA737OeO9/zl6oJbEz+dOZZ3veZr/N6\nzvxPnQreful5PPir7642sAr8n4NPsfX39r7R7qrw+qngyjUX8oUPXZdr/a13T/Nnz7+ca7/Lz1vK\n9L++cdQQAdj1yPe443PfnPNavJ69Yx76+CbOOWuilOdqiqdf/DFX//qXc7f1JshzAfk4sKbv/ups\n2bwi4qvA5ZKWF93WzMzqkacY7AHWS1onaSmwBdjVv4KktyvrDJR0FXA28Fyebc3MrH5Du4ki4qSk\n24H7gQlgZ0QclHRb9vh24B8A75f0GvAj4JciIoB5t60oFzMzW6Rc1wwiYjewe2DZ9r7bnwQ+mXdb\nMzNrls58A7nEUXJmjeAm3XyR0FHqTDFokiINpI1FLHImldIfUptU96qfvuc2tu2Uda4Y1DmeeZTn\nFukPxF5MBqlmrTE1tCJPUyyk8uIftqe2fccA0my3nSsGZmY2l4uBmZm5GJiZmYuBmZnRoWLQpJEp\nRUZRNCfq8uTNqQ2jTarMIe+orNO3KWedxWjD8SwqpZw7UwzMzGxhnSsGdQ75GuW5WzH8bhE5pJr3\nuMIu8jxFhieX+boP21cbhk3PkWBKnSsGZmY2l4uBmZm5GJiZWZeKQUJX9c2sHVJ62+lOMWiQIg1k\nMcMHmy5vSm1IvUlDmiFvPNXEPLjXNrbtlLkY2Ni0ctSIjSzVEWNnkmJb71wxGNdskmU/d3pNqxwp\n/lHB+N7girSpQjOcLiKWhfeV5jHsms4VAzMzm8vFwMzMXAzMzKxDxcDjFqxtPBgnAQkdpM4UgyYp\nMqQunaaUX97hlk0blrkYTXsvaNKspU17bbrOxcDGpo1DCG10bWwWKbb1zhWDOg/SKM+dYuMqQ6p5\nj21oaZF1iwwtHeOspdYMuYqBpE2SDkuakbRtnsffJ2m/pEclPSTpir7HnsiW75M0XWbwZmZWjiXD\nVpA0AdwF3AgcA/ZI2hURj/Wt9l3g3RHxA0k3ATuAq/sevyEini0xbjMzK1GeM4ONwExEHImIV4F7\ngM39K0TEQxHxg+zuw8DqcsM0M7Mq5SkGq4CjffePZcsW8gHgS333A3hQ0l5JWxfaSNJWSdOSpp95\n5pkcYRXjkQvWNm0YbdV2KR2hod1ERUi6gV4xuL5v8fURcVzSpcADkg5FxFcHt42IHfS6l5iamkrp\nNSys2KyllYUxdm9cR+zUrKXNkmvO0qqGlg48++y9OucLq0qKGeU5MzgOrOm7vzpbdhpJ7wQ+A2yO\niOdml0fE8ez/E8C99LqdapPubyCn2Ly6a1yTsxWbfK7ApHYlxu+Wm4Y8xWAPsF7SOklLgS3Arv4V\nJE0Cnwd+OSIe71u+TNL5s7eB9wIHygrezMzKMbSbKCJOSroduB+YAHZGxEFJt2WPbwc+ClwC/Fb2\nCfZkREwBlwH3ZsuWAJ+NiPsqycTMzBYt1zWDiNgN7B5Ytr3v9geBD86z3RHgisHlZmbWLJ35BrJH\nXljbtOECe9uldIw6UwyapEgDaWMRy5tRGzJv2u/85omnqjbnieqazcXAxsYjomw+bWwVKbb1zhWD\nWo9Rgg2kbin+UQFje4crNATUE9XZGXSuGJiZ2VwuBmZm5mJgZmYdKgYeuWBt4zbdfE0bTXYmnSkG\nTVJk6F5CbWmo2QuJeXNqQ+5NS6HWieoGh5Zm0bTxAnOKKbkYmJlZF4tBfTV7tFlLSwsjKammPba4\nqxlZWnL8qR7FbulgMTAzs0EuBmZm1p1i0LQLeWajauO8VW2T0hHqTDEwM7OFuRjUIaWPCyWavYyY\n/xNt+i9U44bH5oinqpDn/AZydjfZ+afOIMWUXAzMzKx7xaDOij3Kc4/rB9abJsVPWDC+T7uFhosW\niKnM+FM9hl3TuWJgZmZzuRiYmVl3ikFKE0aZ5eEm3XwpHaPOFAMzM1uYi0ENinxYSOmTxTBdnLW0\nacNjmzVraXulOOAjVzGQtEnSYUkzkrbN8/j7JO2X9KikhyRdkXdbMzOr39BiIGkCuAu4CdgA3CJp\nw8Bq3wXeHRF/Dfg4sKPAtmNVZ70e5dNCV4fnpZr3uMIu8vrU9VImegg7J8+ZwUZgJiKORMSrwD3A\n5v4VIuKhiPhBdvdhYHXebc3MrH55isEq4Gjf/WPZsoV8APjSIretTJv7J62b3KabL6VjtKTMnUm6\ngV4xuH4R224FtgJMTk6WGZaZmQ2R58zgOLCm7/7qbNlpJL0T+AywOSKeK7ItQETsiIipiJhasWJF\nntgtOe49ttOlek1oqATzylMM9gDrJa2TtBTYAuzqX0HSJPB54Jcj4vEi23ZRkaF7bZyzvjtzljZv\neGyeL1+Orc017cXpuKHdRBFxUtLtwP3ABLAzIg5Kui17fDvwUeAS4LeyCa5OZp/y5922olxyqXO6\n3NEmquumFMdrw/g+8RZ5fQqNPCox/jZOUd1Gua4ZRMRuYPfAsu19tz8IfDDvtmZm1iz+BrKZmXWo\nGLh70trGbbrxUpogszvFwMzMFuRiUIMiozUS+mAx1E8mqsuXVEqfqhbStAxyxTPGieraemk5xWvm\nLgZmZta9YlDvRHUjbJvgJ40ypJr3uIbEVjVRXalDS8vblVWoc8XAzMzmcjEwM7PuFIM2Tutg3eY2\nbWXqTDGw+rnv2Aa1daqKFLNyMahBsYnq2scT1dUnTzxVhTx4JtO016brXAzMzKx7xaDOs9LRZi1N\n8cRzdKlmPbZZSwvNRFpghtMSX/mW9gS1TueKgZmZzdWZYuD+SWsbt+nmS+kYdaYYmJnZwlwMbGza\nOozQFq+tLSLFtu5iUIMiZ45tmLlzjpwptSH1ph2/PF9UqyrmubOWNuu16ToXAzMz614xqHOI5ijP\nneBZZzkSTXxcURdpU7XNWprmIeyczhUDMzObqzPFoGFdt2Yjc5NuvpSui3SmGFj93Ftgg9rahZRi\nWi4GZmaWrxhI2iTpsKQZSdvmefwdkr4m6RVJHx547AlJj0raJ2m6rMBTVmToXjonmfnlPXVuQ+5N\ny6HeWUsH7jftxem4JcNWkDQB3AXcCBwD9kjaFRGP9a32PHAH8PcW2M0NEfHsqMGamVk18pwZbARm\nIuJIRLwK3ANs7l8hIk5ExB7gtQpiLFWtfZQpdiTWLNmXrIGzlhaJqczwuzrjbmryFINVwNG++8ey\nZXkF8KCkvZK2FgmuTD4jtbZp2rebba6UDtHQbqISXB8RxyVdCjwg6VBEfHVwpaxQbAWYnJwcQ1hm\nZjYrz5nBcWBN3/3V2bJcIuJ49v8J4F563U7zrbcjIqYiYmrFihV5d28JaeswQlu8tnYhpdjW8xSD\nPcB6SeskLQW2ALvy7FzSMknnz94G3gscWGywZmZWjaHdRBFxUtLtwP3ABLAzIg5Kui17fLuknwam\ngQuAU5LuBDYAy4F7s+lclwCfjYj7qkklHUX6EVPqc8wrb05t6BNvWgq5hpZWFPPg8WzYS9N5ua4Z\nRMRuYPfAsu19t5+i13006EXgilECbJNRzhxTnB+9DKmm3cTuj0KT2pU6U115u7Lq+BvIZmbWnWLQ\nhi4Hs35u0c2X0jHqTDEwM7OFuRjY2DSxH91q1tImkWJbdzFoupTOM3PqUo9dSvPZz/JEdd3kYmBm\nZt0rBnUOVRxluF56J53lSDXvcbWzIm2qSEzlTlRnKehMMfAZqbWNu1maL6Vj1JliYGZmC3MxsLFJ\n9dvEVp22NokU27qLgZmZuRjUodBEdS282pE3o5T6WxfUsBzyfBO/qm/rD+62jW07ZS4GZmbWvWJQ\n5zcDR5u1tLQwkpLqbK3jirqin0AuNYFUj2HXdKYYtKLLwayPm3TzpdQV1pliYGZmC3MxMLPauAep\nOVwMzMzMxaAORfoR23itI+/QxZT6WxfStAzyxFNdzHPGllqDuBiYmVmXikHvY0i9s5aOsG15YSQl\n1bzHMpwyothMpJ61dOxSOrPvUDEwM7OFuBjY2HjkiA1K8ech80ixrbsYmJlZvmIgaZOkw5JmJG2b\n5/F3SPqapFckfbjItmZmVr+hxUDSBHAXcBOwAbhF0oaB1Z4H7gD+wyK27Zxis5a2T5dmLW1aDrni\nqSjmubOWWpPkOTPYCMxExJGIeBW4B9jcv0JEnIiIPcBrRbc1M7P65SkGq4CjffePZcvyGGXbUs1+\nKkl2aGmKV6RKkGraYxlZStFZS/OvXWZ7S/UYdk1jLiBL2ippWtL0M888U3c4ZmadkqcYHAfW9N1f\nnS3LI/e2EbEjIqYiYmrFihU5d28paeswQlu8tp41pNjW8xSDPcB6SeskLQW2ALty7n+Ubc3MbEyW\nDFshIk5Kuh24H5gAdkbEQUm3ZY9vl/TTwDRwAXBK0p3Ahoh4cb5tq0rGzMwWZ2gxAIiI3cDugWXb\n+24/Ra8LKNe2XVdkSF1VP05ep7wptSH1ps28mieeqmIe3Gsb23bKGnMBeVzq/Q3kxT93W/tWh0mx\n7xXG+BvIBRpGfRPVpXkMu6YzxcCfQaxt/MG6+VI6++lMMbD6dfXsxhbW1iaRYlt3MTAzMxcDMzNz\nMahFkX7EdHoci+jQbyA3LIU88VQV85yJ6hr22nSdi4GZmXWnGCQ/UV15YaQl0cTHM1FdFJuorqLf\nSx7nvlKT0tlPZ4qBmZktzMXAxqbLnxBtfm2dmj3FrFwMzMzMxcDMzFwMalFsorrKwqhNtyaqa5Zc\nP4Fc2dDS03fctNem61wMzMysO8Vg9gtMKV7YATp79TXdrKuPPKJosygww2mJ8ad7DEeX0tlPZ4qB\n1c9TGdugtraIFEdJuRiYmZmLgZmZuRiYmRkuBrUoMnSvDTN3DsqbURsyb9ovXeWatXRsv4FcydPY\nInWmGLjhWdu4TTdfSseoM8VgVr2zli7+ydMbm1COBAdlAOOMu8Bw0ZpmLe1s401M54qB1SfVN3ar\nUEvbRIppuRiYmVm+YiBpk6TDkmYkbZvncUn6VPb4fklX9T32hKRHJe2TNF1m8GZmVo4lw1aQNAHc\nBdwIHAP2SNoVEY/1rXYTsD77dzXw6ez/WTdExLOlRW1mZqXKc2awEZiJiCMR8SpwD7B5YJ3NwN3R\n8zBwoaSVJcfaIoXGlrZO7hEWLci9eSkMj6i6WUsHI2neq9NleYrBKuBo3/1j2bK86wTwoKS9krYu\nNtBR/aTZ1XdpZ5Rn7urF11TnMxpH1EHBEUKVRTLsedM8hmVIqeAN7SYqwfURcVzSpcADkg5FxFcH\nV8oKxVaAycnJMYRlZmaz8pwZHAfW9N1fnS3LtU5EzP5/AriXXrfTHBGxIyKmImJqxYoV+aK3pHT3\n86EtpK1tIsUz+TzFYA+wXtI6SUuBLcCugXV2Ae/PRhVdA7wQEd+XtEzS+QCSlgHvBQ6UGL+ZmZVg\naDdRRJyUdDtwPzAB7IyIg5Juyx7fDuwGbgZmgJeBW7PNLwPuzb55uwT4bETcV3oWZmY2klzXDCJi\nN703/P5l2/tuB/ChebY7AlwxYoxmZlaxznwDuUmzRxabtbR98o6wSGkkxoIqTGExbTrfrKXVGDye\nDfqTrExKOXamGMyqd6K6EbZt7aW2M0vxQhyM72cPizxLsYnqSvwN5ESPYdd0rhhYffymYINS/K3g\nPFLMy8XAzMxcDMzMzMXAzMxwMahFkQEGKY1GyCtvTm3IvWkjovJEU9nr3qyXwga4GJiZVSSl+te5\nYlDnNf5RhocmODihFKnmPa6wi81aWuD3khcRyzj2ZdXpXDGwOvltwU6XarFvIxcDMzNzMTAzMxcD\nMzPDxaAWxSaqS2k8Qj4d+gnkxg2PzTe5XTVBD+61SZNHWoeKgdudtY3bdAISOkidKQaz6pxAarRZ\nS9O3mPxTna11XM2s0HDRQrOWLiKYBfe18M7SPLr5pDZSqnPFwMzM5nIxMDMzFwMzM3MxMDMzOlQM\nmjREs0gsCQ1GyC3vkMI2DD2sMoXFtOk6Zy0d3G/6R3e4lHLsTDEwM7OFda4Y1Dtr6QjbJjZMbT6L\nSSHVvMc1JLbYrKXV7HeUfaX4W8F5pZZZ54qBmZnNlasYSNok6bCkGUnb5nlckj6VPb5f0lV5tzUz\ns/oNLQaSJoC7gJuADcAtkjYMrHYTsD77txX4dIFtzcysZnnODDYCMxFxJCJeBe4BNg+ssxm4O3oe\nBi6UtDLntmZmVrMlOdZZBRztu38MuDrHOqtybluav/uf/4Qfv/b6vI+9+OPXqnrawrbevZezl+S7\nXHPyVEqD0/L59d3f4je/MjN0vT97/mU2rrt4DBFV59988QCfvO9QJft+8rmXeduK8wpt8+KPXuPG\n3/jjM65z/Ic/4vIVy0YJbV7/6g/3c+7SiTfun/jzV5h4U2qXWYv5bw8/yX0Hnsq9/kXnLuUPbru2\nwogWlqcYjIWkrfS6mJicnFzUPt62Yhmvvn5qwccvXraU1Re9eVH7LsPU2ov5+1etWrBgLeSK1T/F\nX3/b8oqiGp/Ji8/ln1wzyfN/8Wqu9ddfdh6/cMVbKo6qGusvO48tP7em0g8h6y87j380tSb3+r9w\n5Vt49qVXh34/Yf1l5/G33nHZqOG9YcPKC/jHU6t56ZWTc57nZ9ZcVNrzNM0df3s9jz/954W2ueCc\nsyqKZjgN+2KPpGuBj0XEz2f3PwIQEZ/oW+e3gf8bEZ/L7h8G/iawdti285mamorp6enFZWRm1kGS\n9kbE1GK3z9NXsQdYL2mdpKXAFmDXwDq7gPdno4quAV6IiO/n3NbMzGo2tJsoIk5Kuh24H5gAdkbE\nQUm3ZY9vB3YDNwMzwMvArWfatpJMzMxs0YZ2E9XB3URmZsWMo5vIzMxazsXAzMxcDMzMzMXAzMxw\nMTAzMxo6mkjSM8CTi9x8OfBsieHUzfk0m/Npti7l89aIWLHYHTeyGIxC0vQow6uaxvk0m/NpNueT\nn7uJzMzMxcDMzNpZDHbUHUDJnE+zOZ9mcz45te6agZmZFdfGMwMzMyuoNcVA0iZJhyXNSNpWdzxn\nIukJSY9K2idpOlt2saQHJH07+/+ivvU/kuV1WNLP9y3/2Ww/M5I+JWksPxslaaekE5IO9C0rLX5J\nZ0v6/Wz51yWtrSGfj0k6nh2jfZJuTiifNZL+SNJjkg5K+pfZ8iSP0RnySfIYSTpH0jckPZLl82+z\n5fUen4hI/h+96bG/A1wOLAUeATbUHdcZ4n0CWD6w7N8D27Lb24BPZrc3ZPmcDazL8pzIHvsGcA0g\n4EvATWOK/13AVcCBKuIH/jmwPbu9Bfj9GvL5GPDhedZNIZ+VwFXZ7fOBx7O4kzxGZ8gnyWOUPfd5\n2e2zgK9nMdV6fCp/4xjHP+Ba4P6++x8BPlJ3XGeI9wnmFoPDwMrs9krg8Hy50PttiGuzdQ71Lb8F\n+O0x5rCW0988S4t/dp3s9hJ6X7LRmPNZ6I0miXwGYv4icGPqx2iefJI/RsC5wP+j99vwtR6ftnQT\nrQKO9t0/li1rqgAelLRXvd9+Brgser8OB/AUMPsjtAvltiq7Pbi8LmXG/8Y2EXESeAG4pJqwz+hf\nSNqfdSPNnrInlU/WPfAz9D59Jn+MBvKBRI+RpAlJ+4ATwAMRUfvxaUsxSM31EXElcBPwIUnv6n8w\neuU82WFeqcef+TS9bscrge8D/7HecIqTdB7wh8CdEfFi/2MpHqN58kn2GEXE69l7wGpgo6S/OvD4\n2I9PW4rBcWBN3/3V2bJGiojj2f8ngHuBjcDTklYCZP+fyFZfKLfj2e3B5XUpM/43tpG0BPgp4LnK\nIp9HRDyd/cGeAv4LvWN0WmyZRuYj6Sx6b5z/PSI+ny1O9hjNl0/qxwggIn4I/BGwiZqPT1uKwR5g\nvaR1kpbSu2Cyq+aY5iVpmaTzZ28D7wUO0Iv3V7LVfoVevyjZ8i3Z6IB1wHrgG9np5IuSrslGELy/\nb5s6lBl//77+IfCV7JPS2Mz+UWZ+kd4xmo2t0flkz/87wLci4jf6HkryGC2UT6rHSNIKSRdmt99M\n7/rHIeo+PuO44DOOf8DN9EYZfAf4tbrjOUOcl9MbGfAIcHA2Vnr9eV8Gvg08CFzct82vZXkdpm/E\nEDBF7w/gO8BvMr4LeJ+jd1r+Gr1+yg+UGT9wDvA/gBl6oyUuryGf3wMeBfZnf1grE8rnenpdDPuB\nfdm/m1M9RmfIJ8ljBLwT+GYW9wHgo9nyWo+Pv4FsZmat6SYyM7MRuBiYmZmLgZmZuRiYmRkuBmZm\nhouBmZnhYmBmZrgYmJkZ8P8BwDQjKmjbMHsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3e453191d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD8CAYAAACVZ8iyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3e453198d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAD8CAYAAACb4nSYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIYy+QCAQFBH/H0kX41bRYKi0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3e457aa8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(alpha)\n",
    "plt.figure()\n",
    "plt.plot(beta)\n",
    "plt.figure()\n",
    "plt.plot(env)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def latent_to_stream(onof, beta, alpha):\n",
    "    onof[onof>.3] = .3\n",
    "    onof[onof<0] = 0\n",
    "    alpha[alpha<0]=0\n",
    "    return np.vstack([0.15 - onof, -beta, alpha]).T\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAD8CAYAAACYebj1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8/9KWcwV0lIUSwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3e451e8810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "streams = latent_to_stream(alpha, beta, env)\n",
    "for i in range(3):\n",
    "    plt.subplot(3, 1, i+1)\n",
    "    plt.plot(streams[:, i]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f3e4515d390>,\n",
       " <matplotlib.lines.Line2D at 0x7f3e456470d0>]"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAD8CAYAAACVZ8iyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3e4515d810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from swissknife.streamtools import streams as st\n",
    "\n",
    "def get_on_clusters(intensity):\n",
    "    # get the below/above threshold\n",
    "    min_sil_duration = 600 #samples\n",
    "    silences = np.where(intensity==0)[0]\n",
    "    no_silences = np.where(intensity>0)[0]\n",
    "    onoff = np.ones_like(intensity, dtype=np.short)\n",
    "    onoff[silences]=0\n",
    "    \n",
    "    # get segments of song/silence\n",
    "    onsets = np.where(np.diff(onoff)==1)[0]\n",
    "    offsets = np.where(np.diff(onoff)==-1)[0] \n",
    "    if onsets[0] > offsets[0]:\n",
    "        onsets = np.concatenate([np.array([0]), onsets])\n",
    "    if onsets[-1] > offsets[-1]:\n",
    "        offsets = np.concatenate([offsets, np.array([intensity.size])])\n",
    "    on_segments = np.vstack([onsets, offsets]).T\n",
    "    \n",
    "    # filter 'silence' shorter that what a syllable should last\n",
    "    short_offs = (np.where(np.diff(on_segments.flatten()) < min_sil_duration)[0])\n",
    "    remove_elem = np.vstack([short_offs, short_offs + 1]).T.flatten()\n",
    "    on_segments = np.delete(on_segments, remove_elem).reshape([-1, 2])\n",
    "    \n",
    "    return on_segments\n",
    "\n",
    "on_segs = get_on_clusters(alpha)\n",
    "plt.plot(alpha)\n",
    "plt.plot(on_segs, np.ones_like(on_segs)*0.3, '*')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  729,  3888],\n",
       "       [ 5166, 10045],\n",
       "       [11147, 15701],\n",
       "       [18050, 19215],\n",
       "       [20173, 28002]])"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "on_segs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAD8CAYAAABthzNFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3e4bf302d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "step_samples = 30\n",
    "\n",
    "msec_alpha = st.decimate(alpha, step_samples)\n",
    "msec_beta = - st.decimate(beta, step_samples)\n",
    "msec_env = st.decimate(env, step_samples)\n",
    "msec_beta[msec_beta>0] = 0\n",
    "msec_env[msec_env<0] = 0\n",
    "plt.plot(msec_beta)\n",
    "\n",
    "# make the ms-sampled templates per syllable\n",
    "# get the syllable starts\n",
    "#mot_templates = pd.DataFrame\n",
    "\n",
    "out_a = []\n",
    "out_b = []\n",
    "out_e = []\n",
    "start = []\n",
    "end = []\n",
    "duration = []\n",
    "for i, seg in enumerate(on_segs):\n",
    "    start.append(seg[0]//step_samples)\n",
    "    end.append(seg[1]//step_samples)\n",
    "    duration.append(end[i] - start[i])\n",
    "    out_a.append(msec_alpha[start[i]:end[i]])\n",
    "    out_b.append(msec_beta[start[i]:end[i]])\n",
    "    out_e.append(msec_env[start[i]:end[i]])\n",
    "    \n",
    "mot_templates = {\n",
    "    field: var for field, var in zip(['alpha', 'beta', 'env', 'start', 'duration', 'end', 'syl_type'],\n",
    "                                    [out_a, out_b, out_e, start, duration, end, range(i)])\n",
    "}\n",
    "\n",
    "import pickle\n",
    "out_fn = os.path.join(fn['folders']['stim'], 'syl_templates_ms.p')\n",
    "pickle.dump(mot_templates, open(out_fn, 'wb'), protocol=2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'alpha': [array([  0.00000000e+00,   2.26702925e-07,   2.74469865e-04,\n",
       "           1.17631186e-02,   1.05490377e-01,   3.04279847e-01,\n",
       "           3.42689062e-01,   2.59230510e-01,   3.11072846e-01,\n",
       "           2.97160495e-01,   2.84333322e-01,   3.08161589e-01,\n",
       "           2.83514259e-01,   3.01525906e-01,   2.93152314e-01,\n",
       "           2.92772814e-01,   2.99121170e-01,   2.90031516e-01,\n",
       "           2.98972893e-01,   2.92310149e-01,   2.95581891e-01,\n",
       "           2.95746474e-01,   2.92969269e-01,   2.97048223e-01,\n",
       "           2.93025725e-01,   2.95953055e-01,   2.94635318e-01,\n",
       "           2.94371770e-01,   2.95777845e-01,   2.93866460e-01,\n",
       "           2.95662672e-01,   2.94425650e-01,   2.94911008e-01,\n",
       "           2.95127266e-01,   2.94431432e-01,   2.95311638e-01,\n",
       "           2.94520887e-01,   2.95036322e-01,   2.94866231e-01,\n",
       "           2.94727801e-01,   2.95065878e-01,   2.94663631e-01,\n",
       "           2.95009674e-01,   2.94797162e-01,   2.94851964e-01,\n",
       "           2.94932086e-01,   2.94769775e-01,   2.94952446e-01,\n",
       "           2.94802016e-01,   2.94888425e-01,   2.94873579e-01,\n",
       "           2.94829825e-01,   2.94906931e-01,   2.94824505e-01,\n",
       "           2.94889426e-01,   2.94854880e-01,   2.94857162e-01,\n",
       "           2.94880145e-01,   2.94843860e-01,   2.94880819e-01,\n",
       "           2.94853018e-01,   2.94866541e-01,   2.94867473e-01,\n",
       "           2.94855733e-01,   2.94872664e-01,   2.94856195e-01,\n",
       "           2.94868000e-01,   2.94862851e-01,   2.94861564e-01,\n",
       "           2.94867435e-01,   2.94859596e-01,   2.94866888e-01,\n",
       "           2.94861922e-01,   2.94863810e-01,   2.94864770e-01,\n",
       "           2.94861884e-01,   2.94865487e-01,   2.94862279e-01,\n",
       "           2.94864346e-01,   2.94863692e-01,   2.94863094e-01,\n",
       "           2.94864493e-01,   2.94862848e-01,   2.94864250e-01,\n",
       "           2.94863400e-01,   2.94863605e-01,   2.94863947e-01,\n",
       "           2.94863277e-01,   2.94864023e-01,   2.94863414e-01,\n",
       "           2.94863759e-01,   2.94863706e-01,   2.94863521e-01,\n",
       "           2.94863839e-01,   2.94863503e-01,   2.94863765e-01,\n",
       "           2.94863628e-01,   2.94863634e-01,   2.94863730e-01,\n",
       "           2.94863581e-01,   2.94863731e-01,   2.94863619e-01,\n",
       "           2.94863673e-01,   2.94863678e-01,   2.94863629e-01]),\n",
       "  array([ -5.19844887e-05,   1.07086450e-04,   3.19797461e-04,\n",
       "           1.56473808e-02,   1.22886318e-01,   3.20226063e-01,\n",
       "           3.33261797e-01,   2.59045618e-01,   3.15826033e-01,\n",
       "           2.91745253e-01,   2.88197403e-01,   3.06377084e-01,\n",
       "           2.83350091e-01,   3.02979405e-01,   2.91221306e-01,\n",
       "           2.94533899e-01,   2.97916122e-01,   2.90538567e-01,\n",
       "           2.99111449e-01,   2.91714749e-01,   2.96378667e-01,\n",
       "           2.94997009e-01,   2.93489594e-01,   2.96839516e-01,\n",
       "           2.92939961e-01,   2.96242837e-01,   2.94264901e-01,\n",
       "           2.94706765e-01,   2.95557928e-01,   2.93940603e-01,\n",
       "           2.95719455e-01,   2.94283664e-01,   2.95080914e-01,\n",
       "           2.94980521e-01,   2.94522055e-01,   2.95287632e-01,\n",
       "           2.94487689e-01,   2.95104560e-01,   2.94789062e-01,\n",
       "           2.94791603e-01,   2.95028991e-01,   2.94670287e-01,\n",
       "           2.95027874e-01,   2.94764722e-01,   2.94886803e-01,\n",
       "           2.94904531e-01,   2.94784549e-01,   2.94951310e-01,\n",
       "           2.94792427e-01,   2.94903704e-01,   2.94857948e-01,\n",
       "           2.94841634e-01,   2.94901135e-01,   2.94824187e-01,\n",
       "           2.94894335e-01,   2.94847745e-01,   2.94864131e-01,\n",
       "           2.94875127e-01,   2.94846074e-01,   2.94881329e-01,\n",
       "           2.94850559e-01,   2.94869847e-01,   2.94864385e-01,\n",
       "           2.94857846e-01,   2.94871849e-01,   2.94855804e-01,\n",
       "           2.94869211e-01,   2.94861330e-01,   2.94862924e-01,\n",
       "           2.94866554e-01,   2.94859880e-01,   2.94867135e-01,\n",
       "           2.94861335e-01,   2.94864504e-01,   2.94864175e-01,\n",
       "           2.94862246e-01,   2.94865397e-01,   2.94862137e-01,\n",
       "           2.94864627e-01,   2.94863377e-01,   2.94863352e-01,\n",
       "           2.94864346e-01,   2.94862871e-01,   2.94864327e-01,\n",
       "           2.94863267e-01,   2.94863747e-01,   2.94863836e-01,\n",
       "           2.94863335e-01,   2.94864020e-01,   2.94863374e-01,\n",
       "           2.94863821e-01,   2.94863643e-01,   2.94863569e-01,\n",
       "           2.94863816e-01,   2.94863501e-01,   2.94863786e-01,\n",
       "           2.94863599e-01,   2.94863662e-01,   2.94863710e-01,\n",
       "           2.94863590e-01,   2.94863734e-01,   2.94863609e-01,\n",
       "           2.94863686e-01,   2.94863666e-01,   2.94863638e-01,\n",
       "           2.94863696e-01,   2.94863630e-01,   2.94863684e-01,\n",
       "           2.94863653e-01,   2.94863659e-01,   2.94863674e-01,\n",
       "           2.94863646e-01,   2.94863676e-01,   2.94863653e-01,\n",
       "           2.94863665e-01,   2.94863664e-01,   2.94863656e-01,\n",
       "           2.94863669e-01,   2.94863656e-01,   2.94863666e-01,\n",
       "           2.94863661e-01,   2.94863661e-01,   2.94863665e-01,\n",
       "           2.94863659e-01,   2.94863665e-01,   2.94863660e-01,\n",
       "           2.94863662e-01,   2.94863663e-01,   2.94863661e-01,\n",
       "           2.94863663e-01,   2.94863661e-01,   2.94863663e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863663e-01,\n",
       "           2.94863661e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01]),\n",
       "  array([  2.79189889e-04,  -3.16997413e-04,   3.30464111e-04,\n",
       "           5.03248201e-03,   6.63875773e-02,   2.53411988e-01,\n",
       "           3.58786269e-01,   2.70052164e-01,   2.93374609e-01,\n",
       "           3.11345003e-01,   2.77418926e-01,   3.08613409e-01,\n",
       "           2.87618033e-01,   2.95486824e-01,   2.98824110e-01,\n",
       "           2.88836346e-01,   3.00854855e-01,   2.90318154e-01,\n",
       "           2.97249418e-01,   2.94700630e-01,   2.93277108e-01,\n",
       "           2.97401076e-01,   2.92240784e-01,   2.96873654e-01,\n",
       "           2.93850681e-01,   2.94843564e-01,   2.95672395e-01,\n",
       "           2.93662469e-01,   2.96049848e-01,   2.94000502e-01,\n",
       "           2.95253254e-01,   2.94938246e-01,   2.94453873e-01,\n",
       "           2.95422276e-01,   2.94337575e-01,   2.95227180e-01,\n",
       "           2.94719539e-01,   2.94802364e-01,   2.95065955e-01,\n",
       "           2.94606512e-01,   2.95095460e-01,   2.94711905e-01,\n",
       "           2.94914508e-01,   2.94903276e-01,   2.94765252e-01,\n",
       "           2.94981271e-01,   2.94762153e-01,   2.94926294e-01,\n",
       "           2.94847146e-01,   2.94840597e-01,   2.94910953e-01,\n",
       "           2.94810226e-01,   2.94907811e-01,   2.94838168e-01,\n",
       "           2.94868221e-01,   2.94876302e-01,   2.94841180e-01,\n",
       "           2.94887785e-01,   2.94844598e-01,   2.94873869e-01,\n",
       "           2.94862898e-01,   2.94857006e-01,   2.94874249e-01,\n",
       "           2.94852840e-01,   2.94871831e-01,   2.94859659e-01,\n",
       "           2.94863432e-01,   2.94867068e-01,   2.94858719e-01,\n",
       "           2.94868486e-01,   2.94860191e-01,   2.94865190e-01,\n",
       "           2.94864020e-01,   2.94861956e-01,   2.94865952e-01,\n",
       "           2.94861525e-01,   2.94865123e-01,   2.94863100e-01,\n",
       "           2.94863389e-01,   2.94864501e-01,   2.94862609e-01,\n",
       "           2.94864603e-01,   2.94863053e-01,   2.94863857e-01,\n",
       "           2.94863833e-01,   2.94863255e-01,   2.94864143e-01,\n",
       "           2.94863251e-01,   2.94863912e-01,   2.94863600e-01,\n",
       "           2.94863563e-01,   2.94863857e-01,   2.94863444e-01,\n",
       "           2.94863841e-01,   2.94863560e-01,   2.94863678e-01,\n",
       "           2.94863715e-01,   2.94863569e-01,   2.94863760e-01,\n",
       "           2.94863585e-01,   2.94863702e-01,   2.94863660e-01,\n",
       "           2.94863634e-01,   2.94863705e-01,   2.94863618e-01,\n",
       "           2.94863695e-01,   2.94863646e-01,   2.94863660e-01,\n",
       "           2.94863676e-01,   2.94863642e-01,   2.94863682e-01,\n",
       "           2.94863648e-01,   2.94863668e-01,   2.94863664e-01,\n",
       "           2.94863655e-01,   2.94863671e-01,   2.94863653e-01,\n",
       "           2.94863668e-01,   2.94863660e-01,   2.94863661e-01,\n",
       "           2.94863665e-01,   2.94863658e-01,   2.94863666e-01,\n",
       "           2.94863659e-01,   2.94863663e-01,   2.94863663e-01,\n",
       "           2.94863660e-01,   2.94863664e-01,   2.94863660e-01,\n",
       "           2.94863663e-01,   2.94863662e-01,   2.94863661e-01,\n",
       "           2.94863663e-01,   2.94863661e-01,   2.94863663e-01,\n",
       "           2.94863661e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01]),\n",
       "  array([ -4.67275499e-07,  -2.41779634e-07,   3.81941422e-05,\n",
       "           3.69932368e-03,   5.45881512e-02,   2.32284982e-01,\n",
       "           3.60527474e-01,   2.77487414e-01,   2.86005031e-01,\n",
       "           3.15529036e-01,   2.76664630e-01,   3.07107613e-01,\n",
       "           2.90222101e-01,   2.92891868e-01,   3.00679729e-01,\n",
       "           2.87976349e-01,   3.00803186e-01,   2.91014644e-01,\n",
       "           2.96242718e-01,   2.95696114e-01,   2.92537610e-01,\n",
       "           2.97756737e-01,   2.92272330e-01,   2.96551407e-01,\n",
       "           2.94313193e-01,   2.94394016e-01,   2.95994122e-01,\n",
       "           2.93523259e-01,   2.96012667e-01,   2.94162931e-01,\n",
       "           2.95037648e-01,   2.95137968e-01,   2.94318637e-01,\n",
       "           2.95472801e-01,   2.94365023e-01,   2.95147322e-01,\n",
       "           2.94818555e-01,   2.94714615e-01,   2.95122128e-01]),\n",
       "  array([  3.00512214e-04,  -5.01449532e-04,   6.63774922e-04,\n",
       "           7.51741268e-03,   8.47327869e-02,   2.80056400e-01,\n",
       "           3.52582818e-01,   2.62954836e-01,   3.02745529e-01,\n",
       "           3.04669784e-01,   2.80032787e-01,   3.09225946e-01,\n",
       "           2.84983265e-01,   2.98738596e-01,   2.96066468e-01,\n",
       "           2.90530486e-01,   3.00330130e-01,   2.89869382e-01,\n",
       "           2.98313625e-01,   2.93430773e-01,   2.94388150e-01,\n",
       "           2.96693408e-01,   2.92455904e-01,   2.97094244e-01,\n",
       "           2.93351690e-01,   2.95426288e-01,   2.95178138e-01,\n",
       "           2.93959122e-01,   2.95982467e-01,   2.93874727e-01,\n",
       "           2.95493762e-01,   2.94673089e-01,   2.94668383e-01,\n",
       "           2.95302665e-01,   2.94353338e-01,   2.95294916e-01,\n",
       "           2.94605707e-01,   2.94921642e-01,   2.94973727e-01,\n",
       "           2.94653926e-01,   2.95094715e-01,   2.94676774e-01,\n",
       "           2.94967875e-01,   2.94849933e-01,   2.94804616e-01,\n",
       "           2.94962896e-01,   2.94759671e-01,   2.94944073e-01,\n",
       "           2.94822324e-01,   2.94864307e-01,   2.94894298e-01,\n",
       "           2.94817127e-01,   2.94910173e-01,   2.94829342e-01,\n",
       "           2.94879679e-01,   2.94865830e-01,   2.94848157e-01,\n",
       "           2.94885305e-01,   2.94842989e-01,   2.94878182e-01,\n",
       "           2.94857646e-01,   2.94861601e-01,   2.94871358e-01,\n",
       "           2.94853671e-01,   2.94872792e-01,   2.94857579e-01,\n",
       "           2.94865812e-01,   2.94783595e-01,   2.89079294e-01,\n",
       "           2.24233387e-01,   3.46642369e-02,  -6.29187488e-02,\n",
       "           2.70807542e-02,  -1.08095159e-03,  -1.48182149e-02,\n",
       "           1.69343121e-02,  -1.40931725e-02,   8.07653729e-03,\n",
       "          -1.55035491e-03,  -3.22671856e-03,   5.62046560e-03,\n",
       "          -5.91741295e-03,   4.73169967e-03,  -2.72021255e-03,\n",
       "           5.27436845e-04,   1.29522918e-03,  -1.16613869e-03,\n",
       "           3.08050316e-02,   1.66373038e-01,   3.49050497e-01,\n",
       "           3.07728938e-01,   2.65622304e-01,   3.22110549e-01,\n",
       "           2.80378428e-01,   2.98680748e-01,   2.99427526e-01,\n",
       "           2.85821925e-01,   3.04317293e-01,   2.87623084e-01,\n",
       "           2.98785271e-01,   2.94251988e-01,   2.92874995e-01,\n",
       "           2.98345997e-01,   2.91093773e-01,   2.97906512e-01,\n",
       "           2.93161052e-01,   2.95089814e-01,   2.95836330e-01,\n",
       "           2.93221957e-01,   2.96588842e-01,   2.93527740e-01,\n",
       "           2.95550254e-01,   2.94854395e-01,   2.94352483e-01,\n",
       "           2.95638611e-01,   2.94090248e-01,   2.95433293e-01,\n",
       "           2.94598924e-01,   2.94826081e-01,   2.95122477e-01,\n",
       "           2.94503466e-01,   2.95207104e-01,   2.94622898e-01,\n",
       "           2.94962922e-01,   2.94898563e-01,   2.94735320e-01,\n",
       "           2.95029860e-01,   2.94712015e-01,   2.94964495e-01,\n",
       "           2.94828069e-01,   2.94840059e-01,   2.94926347e-01,\n",
       "           2.94787502e-01,   2.94930192e-01,   2.94821907e-01,\n",
       "           2.94875547e-01,   2.94877725e-01,   2.94833441e-01,\n",
       "           2.94898328e-01,   2.94834670e-01,   2.94880727e-01,\n",
       "           2.94860181e-01,   2.94855846e-01,   2.94878070e-01,\n",
       "           2.94847985e-01,   2.94876206e-01,   2.94856796e-01,\n",
       "           2.94864390e-01,   2.94867818e-01,   2.94856860e-01,\n",
       "           2.94870707e-01,   2.94858275e-01,   2.94866371e-01,\n",
       "           2.94863709e-01,   2.94861520e-01,   2.94866845e-01,\n",
       "           2.94860516e-01,   2.94865956e-01,   2.94862619e-01,\n",
       "           2.94863475e-01,   2.94864740e-01,   2.94862184e-01,\n",
       "           2.94865058e-01,   2.94862693e-01,   2.94864050e-01,\n",
       "           2.94863819e-01,   2.94863129e-01,   2.94864343e-01,\n",
       "           2.94863046e-01,   2.94864067e-01,   2.94863524e-01,\n",
       "           2.94863559e-01,   2.94863922e-01,   2.94863350e-01,\n",
       "           2.94863932e-01,   2.94863495e-01,   2.94863707e-01,\n",
       "           2.94863722e-01,   2.94863537e-01,   2.94863804e-01,\n",
       "           2.94863545e-01,   2.94863730e-01,   2.94863649e-01,\n",
       "           2.94863629e-01,   2.94863721e-01,   2.94863598e-01,\n",
       "           2.94863713e-01,   2.94863635e-01,   2.94863664e-01,\n",
       "           2.94863679e-01,   2.94863634e-01,   2.94863691e-01,\n",
       "           2.94863640e-01,   2.94863673e-01,   2.94863662e-01,\n",
       "           2.94863653e-01,   2.94863675e-01,   2.94863649e-01,\n",
       "           2.94863671e-01,   2.94863658e-01,   2.94863661e-01,\n",
       "           2.94863666e-01,   2.94863656e-01,   2.94863668e-01,\n",
       "           2.94863658e-01,   2.94863663e-01,   2.94863663e-01,\n",
       "           2.94863660e-01,   2.94863665e-01,   2.94863659e-01,\n",
       "           2.94863664e-01,   2.94863661e-01,   2.94863661e-01,\n",
       "           2.94863663e-01,   2.94863661e-01,   2.94863663e-01,\n",
       "           2.94863661e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863661e-01,   2.94863662e-01,   2.94863661e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01,\n",
       "           2.94863662e-01,   2.94863662e-01,   2.94863662e-01])],\n",
       " 'beta': [array([ -1.28328453e-17,  -6.44199668e-08,  -3.17147186e-05,\n",
       "          -1.16838391e-03,  -1.04343798e-02,  -3.30904854e-02,\n",
       "          -4.73411934e-02,  -4.84628524e-02,  -5.89100451e-02,\n",
       "          -6.56735815e-02,  -6.65035290e-02,  -6.40064216e-02,\n",
       "          -5.48424423e-02,  -4.78742015e-02,  -3.66705849e-02,\n",
       "          -2.50016396e-02,  -1.83913131e-02,  -1.35681801e-02,\n",
       "          -1.19020499e-02,  -1.09552864e-02,  -1.01905038e-02,\n",
       "          -9.31279831e-03,  -8.66022901e-03,  -7.75514800e-03,\n",
       "          -7.50579521e-03,  -8.22418448e-03,  -7.59515329e-03,\n",
       "          -7.42493475e-03,  -6.19607812e-03,  -5.33819472e-03,\n",
       "          -6.22849972e-03,  -5.77439284e-03,  -5.85758388e-03,\n",
       "          -6.00767164e-03,  -5.76362649e-03,  -6.01236215e-03,\n",
       "          -5.82425808e-03,  -5.86968278e-03,  -5.34094330e-03,\n",
       "          -3.98597914e-03,  -3.60266287e-03,  -4.09406965e-03,\n",
       "          -3.92025037e-03,  -4.08165650e-03,  -5.24672549e-03,\n",
       "          -6.21461965e-03,  -6.14739226e-03,  -6.81158131e-03,\n",
       "          -8.35350511e-03,  -8.19161159e-03,  -9.04564618e-03,\n",
       "          -1.04591509e-02,  -9.79021340e-03,  -1.07250999e-02,\n",
       "          -1.22103264e-02,  -1.18488046e-02,  -1.21016590e-02,\n",
       "          -1.35085851e-02,  -1.41462613e-02,  -1.35637441e-02,\n",
       "          -1.30666769e-02,  -1.18756410e-02,  -1.13610047e-02,\n",
       "          -1.21759648e-02,  -1.23766749e-02,  -1.39315650e-02,\n",
       "          -1.52042252e-02,  -1.61579673e-02,  -1.87695140e-02,\n",
       "          -2.27135609e-02,  -2.83725581e-02,  -3.01065105e-02,\n",
       "          -2.70095708e-02,  -2.41133806e-02,  -2.10643039e-02,\n",
       "          -1.76675299e-02,  -1.48376628e-02,  -1.27075457e-02,\n",
       "          -1.14735114e-02,  -1.05512407e-02,  -9.46335025e-03,\n",
       "          -8.53240744e-03,  -7.70880258e-03,  -7.50907224e-03,\n",
       "          -7.11661212e-03,  -5.51769931e-03,  -5.72387676e-03,\n",
       "          -6.17166093e-03,  -5.65956809e-03,  -6.02554908e-03,\n",
       "          -5.86194241e-03,  -5.85926517e-03,  -5.97459811e-03,\n",
       "          -5.81472831e-03,  -5.96286356e-03,  -5.85855213e-03,\n",
       "          -5.85747196e-03,  -5.36497142e-03,  -4.02749076e-03,\n",
       "          -3.57632304e-03,  -4.10524747e-03,  -3.90655857e-03,\n",
       "          -3.85712588e-03,  -4.02278387e-03,  -3.85322996e-03]),\n",
       "  array([  0.00000000e+00,  -1.04934687e-06,  -3.14484846e-05,\n",
       "          -9.90063541e-04,  -7.66464043e-03,  -2.15679764e-02,\n",
       "          -2.88663165e-02,  -3.45771510e-02,  -5.65810769e-02,\n",
       "          -8.90979318e-02,  -1.34803417e-01,  -1.84955710e-01,\n",
       "          -2.11680683e-01,  -2.05709061e-01,  -1.87854611e-01,\n",
       "          -1.77878066e-01,  -1.67026415e-01,  -1.56728478e-01,\n",
       "          -1.52510288e-01,  -1.50527198e-01,  -1.50072614e-01,\n",
       "          -1.36002859e-01,  -8.50947373e-02,  -2.12555649e-02,\n",
       "          -4.99719935e-03,  -1.22078966e-02,  -7.24776474e-03,\n",
       "          -8.52244665e-03,  -7.49771176e-03,  -7.18434490e-03,\n",
       "          -7.93794022e-03,  -4.86357449e-03,  -6.22387427e-03,\n",
       "          -5.88077721e-03,  -5.71717291e-03,  -6.17418571e-03,\n",
       "          -5.58413147e-03,  -6.16545002e-03,  -5.72705668e-03,\n",
       "          -5.95120132e-03,  -5.94848046e-03,  -5.77567910e-03,\n",
       "          -6.04280659e-03,  -5.77140349e-03,  -5.97449380e-03,\n",
       "          -5.87792934e-03,  -5.83816453e-03,  -5.55237961e-03,\n",
       "          -4.20815066e-03,  -3.55781433e-03,  -4.03807181e-03,\n",
       "          -3.97065649e-03,  -3.82679090e-03,  -4.01966051e-03,\n",
       "          -3.94550893e-03,  -4.60087797e-03,  -5.92039287e-03,\n",
       "          -6.27600067e-03,  -6.36657569e-03,  -7.94248195e-03,\n",
       "          -8.40621498e-03,  -8.58347800e-03,  -1.03420208e-02,\n",
       "          -1.04479162e-02,  -1.16365432e-02,  -1.47543495e-02,\n",
       "          -1.91294499e-02,  -2.64854618e-02,  -3.09007593e-02,\n",
       "          -3.16515992e-02,  -3.17092662e-02,  -3.13101907e-02,\n",
       "          -3.31065885e-02,  -6.83784823e-02,  -3.31282895e-01,\n",
       "          -1.11557113e+00,  -1.97755126e+00,  -2.00685906e+00,\n",
       "          -1.74814376e+00,  -1.49567705e+00,  -4.78820742e-01,\n",
       "           0.00000000e+00,  -6.55166867e-02,  -2.22689374e-02,\n",
       "          -1.53470434e-03,  -5.15885514e-02,  -2.85624711e-03,\n",
       "          -4.43630877e-02,  -2.06280356e-02,  -2.71057662e-02,\n",
       "          -3.25406779e-02,  -2.01256655e-02,  -3.53185715e-02,\n",
       "          -2.11368577e-02,  -3.12198844e-02,  -2.69014860e-02,\n",
       "          -2.55398421e-02,  -3.10219107e-02,  -2.37625298e-02,\n",
       "          -3.04784296e-02,  -2.59650125e-02,  -2.75881892e-02,\n",
       "          -2.86092465e-02,  -2.58358146e-02,  -2.92467949e-02,\n",
       "          -2.71253676e-02,  -3.60254108e-02,  -6.17395908e-02,\n",
       "          -1.09712715e-01,  -1.50527320e-01,  -1.50702358e-01,\n",
       "          -1.42419200e-01,  -1.41812435e-01,  -1.37468725e-01,\n",
       "          -1.32079164e-01,  -1.26236567e-01,  -1.20137157e-01,\n",
       "          -1.14984226e-01,  -1.09584009e-01,  -1.04555659e-01,\n",
       "          -9.96009351e-02,  -9.47454577e-02,  -9.02174666e-02,\n",
       "          -8.57930082e-02,  -8.15976724e-02,  -7.74716052e-02,\n",
       "          -7.35325910e-02,  -6.97279702e-02,  -6.60176109e-02,\n",
       "          -6.16677952e-02,  -5.37866853e-02,  -4.04967288e-02,\n",
       "          -2.67534048e-02,  -1.91945855e-02,  -1.71803781e-02,\n",
       "          -1.69016039e-02,  -1.60076713e-02,  -1.51345758e-02,\n",
       "          -1.52173744e-02,  -1.37848610e-02,  -1.33537627e-02,\n",
       "          -1.48044802e-02,  -1.55650087e-02,  -1.64776656e-02,\n",
       "          -1.81469324e-02,  -2.34585557e-02,  -3.01600679e-02,\n",
       "          -3.62345606e-02,  -4.19273786e-02,  -4.37471968e-02,\n",
       "          -4.33744777e-02,  -4.31777581e-02,  -4.26361226e-02,\n",
       "          -4.08993226e-02,  -3.87791627e-02,  -3.74669545e-02,\n",
       "          -3.57365815e-02,  -3.41831564e-02,  -3.27723020e-02,\n",
       "          -3.11383649e-02,  -2.98248690e-02,  -2.83357182e-02]),\n",
       "  array([ -1.29018045e-05,   0.00000000e+00,  -2.90066587e-05,\n",
       "          -6.41253179e-04,  -7.65589271e-03,  -2.83944327e-02,\n",
       "          -4.04186043e-02,  -3.09552040e-02,  -3.30660443e-02,\n",
       "          -3.52841880e-02,  -3.15554578e-02,  -3.48282732e-02,\n",
       "          -3.27224793e-02,  -3.34148799e-02,  -3.38834926e-02,\n",
       "          -3.27620908e-02,  -3.40454086e-02,  -3.29588599e-02,\n",
       "          -3.36425326e-02,  -3.34259794e-02,  -3.32327418e-02,\n",
       "          -3.36931503e-02,  -3.31433396e-02,  -3.36208130e-02,\n",
       "          -3.33231379e-02,  -3.34044757e-02,  -3.35108938e-02,\n",
       "          -3.32882416e-02,  -3.35415099e-02,  -3.33313284e-02,\n",
       "          -3.34533644e-02,  -3.34307439e-02,  -3.33714432e-02,\n",
       "          -3.34778145e-02,  -3.33633289e-02,  -3.34540429e-02,\n",
       "          -3.34052415e-02,  -3.34092413e-02,  -3.34400679e-02,\n",
       "          -3.33162070e-02,  -3.22729550e-02,  -2.74461072e-02,\n",
       "          -2.00720803e-02,  -1.69170441e-02,  -1.76505135e-02,\n",
       "          -1.77139084e-02,  -1.76010238e-02,  -1.77048372e-02,\n",
       "          -1.76665647e-02,  -1.76521714e-02,  -1.69757244e-02,\n",
       "          -1.47553536e-02,  -1.20355808e-02,  -1.12839562e-02,\n",
       "          -1.11054842e-02,  -9.65289244e-03,  -9.51306902e-03,\n",
       "          -1.01029268e-02,  -9.66265720e-03,  -9.86514416e-03,\n",
       "          -9.87060066e-03,  -9.74682000e-03,  -9.91337610e-03,\n",
       "          -9.76721681e-03,  -9.88841571e-03,  -1.02847061e-02,\n",
       "          -1.20449853e-02,  -1.45687011e-02,  -1.56121313e-02,\n",
       "          -1.57193763e-02,  -1.45655045e-02,  -1.33105142e-02,\n",
       "          -1.38153680e-02,  -1.38600712e-02,  -1.36208259e-02,\n",
       "          -1.38601161e-02,  -1.37001365e-02,  -1.37378527e-02,\n",
       "          -1.32923820e-02,  -1.19770225e-02,  -1.13917863e-02,\n",
       "          -1.15484414e-02,  -1.01990116e-02,  -9.28440133e-03,\n",
       "          -9.78827054e-03,  -8.41365001e-03,  -7.02343117e-03,\n",
       "          -6.51696517e-03,  -5.47837193e-03,  -5.89882312e-03,\n",
       "          -6.05885964e-03,  -5.68910411e-03,  -6.04758110e-03,\n",
       "          -5.82015053e-03,  -5.90583864e-03,  -5.93771416e-03,\n",
       "          -5.83402690e-03,  -5.96092396e-03,  -5.84847838e-03,\n",
       "          -5.92351934e-03,  -5.89445547e-03,  -5.88136159e-03,\n",
       "          -5.92368167e-03,  -5.86948356e-03,  -5.91894144e-03,\n",
       "          -5.88598406e-03,  -5.89760634e-03,  -5.90545123e-03,\n",
       "          -5.88471449e-03,  -5.90988656e-03,  -5.88793228e-03,\n",
       "          -5.90165946e-03,  -5.89782488e-03,  -5.89309261e-03,\n",
       "          -5.90313184e-03,  -5.89166637e-03,  -5.90122006e-03,\n",
       "          -5.89562813e-03,  -5.89672845e-03,  -5.89934954e-03,\n",
       "          -5.89456941e-03,  -5.89974931e-03,  -5.89561925e-03,\n",
       "          -5.89786585e-03,  -5.89764721e-03,  -5.89625811e-03,\n",
       "          -5.89851291e-03,  -5.89618632e-03,  -5.89795889e-03,\n",
       "          -5.89707382e-03,  -5.89704870e-03,  -5.89776315e-03,\n",
       "          -5.89670865e-03,  -5.89774716e-03,  -5.89699267e-03,\n",
       "          -5.89733254e-03,  -5.89739862e-03,  -5.89703947e-03,\n",
       "          -5.89752870e-03,  -5.89706805e-03,  -5.89738628e-03,\n",
       "          -5.89726022e-03,  -5.89720637e-03,  -5.89738369e-03,\n",
       "          -5.89715838e-03,  -5.89736141e-03,  -5.89722855e-03,\n",
       "          -5.89727299e-03,  -5.89730778e-03,  -5.89722161e-03,\n",
       "          -5.89735309e-03,  -5.89052630e-03]),\n",
       "  array([  0.00000000e+00,  -3.97400067e-09,  -1.75258746e-06,\n",
       "          -1.20397678e-04,  -1.55295807e-03,  -6.11383411e-03,\n",
       "          -8.52603120e-03,  -4.81557793e-03,  -3.94646954e-03,\n",
       "          -4.23093237e-03,  -3.43821426e-03,  -4.34529613e-03,\n",
       "          -3.69619903e-03,  -3.94486641e-03,  -4.06428764e-03,\n",
       "          -3.73498647e-03,  -4.12428075e-03,  -3.78957150e-03,\n",
       "          -4.00024235e-03,  -3.93524193e-03,  -3.87370861e-03,\n",
       "          -4.01594593e-03,  -3.84828566e-03,  -3.99234302e-03,\n",
       "          -3.90370758e-03,  -3.92669826e-03,  -3.96011665e-03,\n",
       "          -3.89216926e-03,  -3.96877801e-03,  -3.90561927e-03,\n",
       "          -3.94192590e-03,  -3.93567673e-03,  -3.91730372e-03,\n",
       "          -3.94968780e-03,  -3.91507433e-03,  -3.94232910e-03,\n",
       "          -3.92783415e-03,  -3.92878115e-03,  -3.93843884e-03]),\n",
       "  array([ -3.83598311e-06,   0.00000000e+00,  -8.73211305e-06,\n",
       "          -1.12320495e-04,  -1.14971536e-03,  -3.70009934e-03,\n",
       "          -4.68094565e-03,  -3.54285760e-03,  -4.01234379e-03,\n",
       "          -4.06788787e-03,  -3.74191193e-03,  -4.10863499e-03,\n",
       "          -3.81408153e-03,  -3.97308962e-03,  -3.95189866e-03,\n",
       "          -3.87457302e-03,  -4.00009158e-03,  -3.87069295e-03,\n",
       "          -3.97209109e-03,  -3.91622535e-03,  -3.92354595e-03,\n",
       "          -3.95545128e-03,  -3.90136193e-03,  -3.95866506e-03,\n",
       "          -3.91376687e-03,  -3.93737461e-03,  -3.93633115e-03,\n",
       "          -3.91977758e-03,  -3.94547084e-03,  -3.91952879e-03,\n",
       "          -3.93885085e-03,  -3.92965928e-03,  -3.92869786e-03,\n",
       "          -3.93716683e-03,  -3.92517824e-03,  -3.93671817e-03,\n",
       "          -3.92854159e-03,  -3.93200748e-03,  -3.93304957e-03,\n",
       "          -3.92883391e-03,  -3.93437267e-03,  -3.92927175e-03,\n",
       "          -3.93270305e-03,  -3.93144625e-03,  -3.93071157e-03,\n",
       "          -3.93277661e-03,  -3.93023486e-03,  -3.93247588e-03,\n",
       "          -3.93105131e-03,  -3.93147881e-03,  -3.93192551e-03,\n",
       "          -3.93092734e-03,  -3.93208591e-03,  -3.93110792e-03,\n",
       "          -3.93169189e-03,  -3.93156201e-03,  -3.93131072e-03,\n",
       "          -3.93178767e-03,  -3.93126301e-03,  -3.93168683e-03,\n",
       "          -3.93145103e-03,  -3.93148137e-03,  -3.93161606e-03,\n",
       "          -3.93139044e-03,  -3.93162654e-03,  -3.93146290e-03,\n",
       "          -3.92906821e-03,  -3.82698808e-03,  -3.06785653e-03,\n",
       "          -1.32974438e-03,  -5.26305039e-07,   0.00000000e+00,\n",
       "          -2.68233837e-05,  -1.70504622e-05,   0.00000000e+00,\n",
       "          -2.96108477e-05,   0.00000000e+00,   0.00000000e+00,\n",
       "          -1.47646728e-05,   0.00000000e+00,  -1.48494720e-05,\n",
       "           0.00000000e+00,  -1.35470752e-06,  -3.89134093e-06,\n",
       "           0.00000000e+00,  -8.13557288e-06,  -1.39993889e-04,\n",
       "          -2.96914348e-03,  -1.68317987e-02,  -3.44145162e-02,\n",
       "          -3.09586078e-02,  -2.67093578e-02,  -3.19127171e-02,\n",
       "          -2.83295137e-02,  -2.96716657e-02,  -3.00172743e-02,\n",
       "          -2.86152574e-02,  -3.03303322e-02,  -2.88863698e-02,\n",
       "          -2.97697766e-02,  -2.94950534e-02,  -2.92644941e-02,\n",
       "          -2.98162288e-02,  -2.91546571e-02,  -2.97363855e-02,\n",
       "          -2.93632380e-02,  -2.94795708e-02,  -2.95917715e-02,\n",
       "          -2.93325023e-02,  -2.96371375e-02,  -2.93775851e-02,\n",
       "          -2.95343717e-02,  -2.94974993e-02,  -2.94329213e-02,\n",
       "          -2.95581368e-02,  -2.94194052e-02,  -2.95321076e-02,\n",
       "          -2.94688193e-02,  -2.94777720e-02,  -2.95126908e-02,\n",
       "          -2.94533779e-02,  -2.95158162e-02,  -2.94673274e-02,\n",
       "          -2.94924634e-02,  -2.94917590e-02,  -2.94735998e-02,\n",
       "          -2.95014292e-02,  -2.94734892e-02,  -2.94942017e-02,\n",
       "          -2.94844359e-02,  -2.94832402e-02,  -2.94977948e-02,\n",
       "          -2.97354180e-02,  -3.23818300e-02,  -4.31504845e-02,\n",
       "          -6.36082282e-02,  -8.10911783e-02,  -8.44515664e-02,\n",
       "          -8.21830322e-02,  -8.26936543e-02,  -8.14186973e-02,\n",
       "          -7.33265652e-02,  -5.45032474e-02,  -3.43596788e-02,\n",
       "          -2.81403657e-02,  -2.93500332e-02,  -2.93372860e-02,\n",
       "          -2.94053003e-02,  -2.94060508e-02,  -2.94973953e-02,\n",
       "          -2.94679790e-02,  -2.89138328e-02,  -2.70983633e-02,\n",
       "          -2.42364939e-02,  -2.18376635e-02,  -1.94215567e-02,\n",
       "          -1.72392513e-02,  -1.54669983e-02,  -1.39907165e-02,\n",
       "          -1.30295337e-02,  -1.19943259e-02,  -1.14571717e-02,\n",
       "          -1.18801628e-02,  -1.18273853e-02,  -1.16974754e-02,\n",
       "          -1.18661092e-02,  -1.14845055e-02,  -1.05042864e-02,\n",
       "          -9.40578626e-03,  -9.40860280e-03,  -8.38887836e-03,\n",
       "          -7.24347050e-03,  -8.11925606e-03,  -7.84841844e-03,\n",
       "          -7.72926351e-03,  -8.03023389e-03,  -7.66045025e-03,\n",
       "          -7.38338634e-03,  -5.95483416e-03,  -5.50111449e-03,\n",
       "          -6.15611244e-03,  -5.78342948e-03,  -5.88990321e-03,\n",
       "          -5.97707013e-03,  -6.22449444e-03,  -8.24755363e-03,\n",
       "          -1.12337253e-02,  -1.25687045e-02,  -1.26880326e-02,\n",
       "          -1.40718760e-02,  -1.40062159e-02,  -1.34461441e-02,\n",
       "          -1.40202252e-02,  -1.36329043e-02,  -1.37746317e-02,\n",
       "          -1.38259092e-02,  -1.36586990e-02,  -1.38586358e-02,\n",
       "          -1.36888840e-02,  -1.37954730e-02,  -1.37600464e-02,\n",
       "          -1.37342686e-02,  -1.38227101e-02,  -1.40736515e-02,\n",
       "          -1.53170433e-02,  -1.61424290e-02,  -1.56240868e-02,\n",
       "          -1.56713324e-02,  -1.58458818e-02,  -1.56272749e-02,\n",
       "          -1.57887167e-02,  -1.57060010e-02,  -1.57111926e-02,\n",
       "          -1.57591688e-02,  -1.56898218e-02,  -1.57555676e-02,\n",
       "          -1.57081420e-02,  -1.57313116e-02,  -1.57316556e-02,\n",
       "          -1.57134861e-02,  -1.57409125e-02,  -1.57132188e-02,\n",
       "          -1.57340383e-02,  -1.57239286e-02,  -1.57231261e-02,\n",
       "          -1.57321292e-02,  -1.57191859e-02,  -1.57317491e-02,\n",
       "          -1.57227804e-02,  -1.57266416e-02,  -1.57276998e-02,\n",
       "          -1.57231591e-02,  -1.57291709e-02,  -1.57236098e-02,\n",
       "          -1.57273703e-02,  -1.57259702e-02,  -1.57251998e-02,\n",
       "          -1.57274277e-02,  -1.57246686e-02,  -1.57271119e-02,\n",
       "          -1.57255494e-02,  -1.57260296e-02,  -1.57265026e-02,\n",
       "          -1.57254246e-02,  -1.57266830e-02,  -1.57256160e-02,\n",
       "          -1.57262574e-02,  -1.57260823e-02,  -1.57308048e-02,\n",
       "          -1.58783525e-02,  -1.67333463e-02,  -1.79823044e-02,\n",
       "          -1.78442143e-02,  -1.74804875e-02,  -1.78542063e-02,\n",
       "          -1.76287210e-02,  -1.76865561e-02,  -1.77423190e-02,\n",
       "          -1.76247810e-02,  -1.77502993e-02,  -1.76547668e-02])],\n",
       " 'duration': [105, 162, 152, 39, 261],\n",
       " 'end': [129, 334, 523, 640, 933],\n",
       " 'env': [array([ 0.07886061,  0.05467138,  0.04942778,  0.06216211,  0.07916916,\n",
       "          0.08487645,  0.09738647,  0.10876133,  0.13197593,  0.17545444,\n",
       "          0.17982637,  0.17886354,  0.18328122,  0.15910799,  0.17574503,\n",
       "          0.20069386,  0.20267155,  0.20180947,  0.185243  ,  0.1999878 ,\n",
       "          0.23041405,  0.21527823,  0.22722002,  0.27220135,  0.30287515,\n",
       "          0.34805038,  0.37421277,  0.41042207,  0.4474752 ,  0.43067208,\n",
       "          0.44148218,  0.4636956 ,  0.48753623,  0.51235778,  0.50401403,\n",
       "          0.51922355,  0.54933921,  0.57386099,  0.59795832,  0.63072009,\n",
       "          0.67649527,  0.69265737,  0.69325174,  0.6882632 ,  0.65221739,\n",
       "          0.633895  ,  0.61397885,  0.5824736 ,  0.5501932 ,  0.50891816,\n",
       "          0.45464076,  0.39623583,  0.34365009,  0.29091178,  0.25642823,\n",
       "          0.22151124,  0.18267177,  0.16022251,  0.14733301,  0.13874956,\n",
       "          0.13153051,  0.12376584,  0.1452027 ,  0.15177092,  0.14451594,\n",
       "          0.17415556,  0.18056363,  0.18644447,  0.20071934,  0.20366139,\n",
       "          0.22387046,  0.25925577,  0.31562974,  0.31860663,  0.246782  ,\n",
       "          0.2119593 ,  0.21542367,  0.22930545,  0.231811  ,  0.21888209,\n",
       "          0.22411742,  0.19845059,  0.21752517,  0.26193309,  0.27529265,\n",
       "          0.34097992,  0.38543724,  0.41951351,  0.46632661,  0.48757576,\n",
       "          0.50194611,  0.51238124,  0.52767043,  0.53335516,  0.53176997,\n",
       "          0.52943935,  0.53297191,  0.54294304,  0.55512077,  0.56446015,\n",
       "          0.5564571 ,  0.55296333,  0.56089569,  0.55994558,  0.55193702]),\n",
       "  array([ 0.28968689,  0.2391849 ,  0.17896047,  0.12494223,  0.09492171,\n",
       "          0.08220056,  0.07475153,  0.10508199,  0.17448755,  0.22183998,\n",
       "          0.23023741,  0.2420845 ,  0.26539858,  0.27503497,  0.27819806,\n",
       "          0.27865819,  0.29855984,  0.31400583,  0.35708008,  0.47254158,\n",
       "          0.56629175,  0.55142589,  0.51162359,  0.55324462,  0.59353288,\n",
       "          0.60227215,  0.63381654,  0.65996957,  0.67969839,  0.69290275,\n",
       "          0.69630651,  0.6853392 ,  0.65235681,  0.61641253,  0.57596109,\n",
       "          0.53436705,  0.48973702,  0.43333484,  0.37450647,  0.3244927 ,\n",
       "          0.30780161,  0.28373604,  0.22758951,  0.2377408 ,  0.2560455 ,\n",
       "          0.24752162,  0.23612439,  0.22055547,  0.24180715,  0.24466528,\n",
       "          0.24634202,  0.29792784,  0.36640636,  0.42960623,  0.48201182,\n",
       "          0.52653034,  0.54354721,  0.54210566,  0.51372174,  0.4970917 ,\n",
       "          0.4963931 ,  0.48469177,  0.49327328,  0.48613413,  0.48047911,\n",
       "          0.45062503,  0.43462744,  0.44755183,  0.44403401,  0.4870692 ,\n",
       "          0.51502152,  0.53362777,  0.56426717,  0.56079302,  0.57298232,\n",
       "          0.57615675,  0.58815462,  0.64710878,  0.7564716 ,  0.79670209,\n",
       "          0.68319889,  0.66653801,  0.71426464,  0.73210974,  0.74885065,\n",
       "          0.72233563,  0.74303365,  0.74268316,  0.71605904,  0.69195048,\n",
       "          0.63811907,  0.61047693,  0.57403237,  0.54004456,  0.52489203,\n",
       "          0.50363145,  0.4901331 ,  0.47185087,  0.45172764,  0.42530381,\n",
       "          0.40386723,  0.41281334,  0.42454086,  0.40077314,  0.35932408,\n",
       "          0.36527915,  0.3903783 ,  0.3483399 ,  0.30558762,  0.36228584,\n",
       "          0.5022534 ,  0.7068527 ,  0.81632931,  0.70620242,  0.58183907,\n",
       "          0.63171033,  0.71628053,  0.72112676,  0.67321617,  0.78377507,\n",
       "          0.9689102 ,  0.9136188 ,  0.71350497,  0.6282987 ,  0.6244588 ,\n",
       "          0.51261307,  0.50931966,  0.64922673,  0.92857355,  1.2012952 ,\n",
       "          0.97140502,  0.87687526,  0.84649567,  0.54927944,  0.6188349 ,\n",
       "          0.56621333,  0.47371165,  0.53569134,  0.46187645,  0.47775599,\n",
       "          0.4311187 ,  0.39712221,  0.41602557,  0.40162888,  0.42653604,\n",
       "          0.38541922,  0.40931248,  0.46134742,  0.48593452,  0.54442009,\n",
       "          0.56950502,  0.61506576,  0.65521407,  0.68399719,  0.72221135,\n",
       "          0.74729539,  0.76961703,  0.76238846,  0.75461129,  0.74483152,\n",
       "          0.73268316,  0.73270964]),\n",
       "  array([ 0.49624675,  0.50167617,  0.5162642 ,  0.54278059,  0.57269422,\n",
       "          0.57076524,  0.50872616,  0.45768452,  0.43501033,  0.39360649,\n",
       "          0.37728763,  0.40149488,  0.43987496,  0.48378328,  0.57579521,\n",
       "          0.67815104,  0.7652855 ,  0.86539058,  0.91922319,  0.94908241,\n",
       "          0.96429959,  0.96407593,  0.98037588,  0.96477607,  0.9142334 ,\n",
       "          0.882919  ,  0.88294699,  0.85771776,  0.84874546,  0.90854032,\n",
       "          0.96152099,  1.00490762,  1.02807434,  1.04564291,  1.09520177,\n",
       "          1.15466138,  1.21865614,  1.211005  ,  1.15617209,  1.14093884,\n",
       "          1.13483275,  1.11576952,  1.11210999,  1.15412208,  1.16882014,\n",
       "          1.09069326,  1.02810663,  0.95817947,  0.85976882,  0.82851135,\n",
       "          0.78298752,  0.73164244,  0.66760863,  0.60916705,  0.59987381,\n",
       "          0.52869235,  0.45987548,  0.43096565,  0.3922783 ,  0.39376427,\n",
       "          0.43301688,  0.44820333,  0.42834063,  0.44511322,  0.46502333,\n",
       "          0.48102215,  0.51038383,  0.49934431,  0.48717612,  0.45890313,\n",
       "          0.40145231,  0.35421642,  0.31550468,  0.28352848,  0.26823733,\n",
       "          0.26723136,  0.27009122,  0.28881162,  0.33898625,  0.40928706,\n",
       "          0.460235  ,  0.51593563,  0.59456441,  0.65703191,  0.72884307,\n",
       "          0.81148479,  0.87663636,  0.93780195,  0.98453547,  1.02695022,\n",
       "          1.06952153,  1.10684763,  1.15299935,  1.19923817,  1.24768448,\n",
       "          1.28464288,  1.3096415 ,  1.33825835,  1.35183284,  1.35805759,\n",
       "          1.36925571,  1.38143095,  1.38496363,  1.37960472,  1.37102766,\n",
       "          1.34424636,  1.29797613,  1.25028355,  1.19991478,  1.14156698,\n",
       "          1.08179518,  1.02862568,  0.98445086,  0.94124989,  0.89977769,\n",
       "          0.86458304,  0.82849508,  0.78390822,  0.73549272,  0.68414334,\n",
       "          0.62379242,  0.55986553,  0.49584035,  0.4334347 ,  0.3790093 ,\n",
       "          0.33215769,  0.29022395,  0.26708849,  0.25274212,  0.24202917,\n",
       "          0.24204619,  0.24208146,  0.24853474,  0.25498612,  0.25928661,\n",
       "          0.2710675 ,  0.28226256,  0.28877701,  0.28784799,  0.27975061,\n",
       "          0.27078208,  0.2657966 ,  0.26331375,  0.25899322,  0.25462041,\n",
       "          0.25684206,  0.26815117,  0.29633442,  0.33149758,  0.36470415,\n",
       "          0.38734726,  0.39027128]),\n",
       "  array([ 1.4863559 ,  1.46872327,  1.43722704,  1.39701084,  1.35778303,\n",
       "          1.31948129,  1.2867548 ,  1.25687551,  1.23259928,  1.21214481,\n",
       "          1.18882939,  1.17234885,  1.1565561 ,  1.14648873,  1.14794436,\n",
       "          1.15156786,  1.17552646,  1.19180895,  1.20300873,  1.21849047,\n",
       "          1.21329991,  1.20592651,  1.17942041,  1.15053275,  1.10881181,\n",
       "          1.07747504,  1.03979149,  1.01239097,  0.9724355 ,  0.94455207,\n",
       "          0.92288864,  0.90401906,  0.89584991,  0.89348602,  0.88797793,\n",
       "          0.89457194,  0.87273479,  0.86484788,  0.84007597]),\n",
       "  array([ 0.32644405,  0.3557551 ,  0.38409014,  0.40745542,  0.43716347,\n",
       "          0.48093926,  0.52732698,  0.58636931,  0.65000619,  0.71116546,\n",
       "          0.77434223,  0.82442119,  0.87324812,  0.91019072,  0.94645231,\n",
       "          0.96620241,  0.97570041,  0.96399025,  0.95407766,  0.93450903,\n",
       "          0.89916488,  0.86134332,  0.80191731,  0.76904097,  0.73018555,\n",
       "          0.71444965,  0.70880093,  0.72693654,  0.72007791,  0.74002275,\n",
       "          0.74600203,  0.76325662,  0.78427982,  0.79329992,  0.80791157,\n",
       "          0.8003846 ,  0.78455553,  0.76432782,  0.73589838,  0.69346454,\n",
       "          0.65126019,  0.60172808,  0.56931474,  0.55505438,  0.52134325,\n",
       "          0.48650097,  0.49925477,  0.48793643,  0.50987665,  0.48330809,\n",
       "          0.5028937 ,  0.50647553,  0.51240312,  0.51453758,  0.52015295,\n",
       "          0.51338739,  0.52246907,  0.51239359,  0.51856867,  0.52097891,\n",
       "          0.51673743,  0.53871445,  0.53915485,  0.56961916,  0.55181762,\n",
       "          0.57703228,  0.56579029,  0.56268023,  0.55910308,  0.53985807,\n",
       "          0.49679654,  0.48510336,  0.42599004,  0.41762105,  0.41927864,\n",
       "          0.38807395,  0.38992622,  0.33738513,  0.34519533,  0.32097992,\n",
       "          0.27760751,  0.2119058 ,  0.13685627,  0.11744873,  0.070357  ,\n",
       "          0.06165057,  0.08699191,  0.10996106,  0.12423195,  0.13943806,\n",
       "          0.21381694,  0.35011426,  0.59726621,  0.8706776 ,  1.08954493,\n",
       "          1.28303973,  1.34238203,  1.37868313,  1.45338993,  1.4577435 ,\n",
       "          1.44588483,  1.38768417,  1.31882913,  1.29085561,  1.27017865,\n",
       "          1.27987414,  1.31582709,  1.35695358,  1.38778693,  1.39457842,\n",
       "          1.39855437,  1.38885584,  1.36605428,  1.35153828,  1.32714115,\n",
       "          1.2915744 ,  1.25962752,  1.23814894,  1.23082604,  1.22017165,\n",
       "          1.21881235,  1.21147052,  1.2072497 ,  1.24426918,  1.27652424,\n",
       "          1.27986667,  1.28658306,  1.31353727,  1.2909141 ,  1.1552845 ,\n",
       "          1.01389954,  0.8877687 ,  0.78424119,  0.75447599,  0.79819266,\n",
       "          0.87263669,  0.87739291,  0.93511052,  0.9762214 ,  0.85792616,\n",
       "          0.83988246,  0.81426014,  0.6554593 ,  0.69541469,  0.79545042,\n",
       "          0.83422774,  0.84999323,  0.78802824,  0.67577069,  0.627745  ,\n",
       "          0.70552466,  0.69738716,  0.79102116,  0.87368614,  0.74889783,\n",
       "          0.72229607,  0.73152075,  0.74669381,  0.78438801,  0.8083664 ,\n",
       "          0.83863602,  0.83914153,  0.82824783,  0.76606802,  0.76405786,\n",
       "          0.74645213,  0.69108011,  0.75110441,  0.73231099,  0.71573501,\n",
       "          0.74577478,  0.72202568,  0.72621834,  0.70143307,  0.67726185,\n",
       "          0.67229437,  0.67751469,  0.68815052,  0.65436241,  0.65831075,\n",
       "          0.65689763,  0.64774026,  0.67113065,  0.60977872,  0.57200449,\n",
       "          0.58777238,  0.57683296,  0.60871021,  0.59392357,  0.55047582,\n",
       "          0.59537414,  0.58058302,  0.53470842,  0.52862294,  0.47462093,\n",
       "          0.41330366,  0.38731692,  0.37711974,  0.36115251,  0.39921702,\n",
       "          0.43955153,  0.45824415,  0.48912256,  0.49699787,  0.53452758,\n",
       "          0.56584571,  0.5905143 ,  0.61402218,  0.62020132,  0.64807822,\n",
       "          0.65618623,  0.64877889,  0.63006712,  0.61280861,  0.61689965,\n",
       "          0.61636683,  0.61463824,  0.60598236,  0.60259958,  0.59681195,\n",
       "          0.59168025,  0.60101829,  0.60434878,  0.6092987 ,  0.6102372 ,\n",
       "          0.61456594,  0.63070343,  0.64054241,  0.65577165,  0.67027395,\n",
       "          0.6723226 ,  0.67894541,  0.68894538,  0.70187875,  0.70917224,\n",
       "          0.70092459,  0.69661171,  0.69585522,  0.69342333,  0.69009668,\n",
       "          0.68222386,  0.68213402,  0.68568368,  0.68047102,  0.68237636,\n",
       "          0.68819783,  0.6960082 ,  0.71286015,  0.72787449,  0.7478038 ,\n",
       "          0.77788957,  0.81028885,  0.83185574,  0.845684  ,  0.86055776,\n",
       "          0.86329921,  0.84800452,  0.8206018 ,  0.78696006,  0.75914866,\n",
       "          0.74775075])],\n",
       " 'start': [24, 172, 371, 601, 672],\n",
       " 'syl_type': [0, 1, 2, 3]}"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mot_templates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f3e485b2dd0>,\n",
       " <matplotlib.lines.Line2D at 0x7f3e485b2fd0>,\n",
       " <matplotlib.lines.Line2D at 0x7f3e485bf150>]"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAD8CAYAAACYebj1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAoHE/wd2gQrK6K0kQwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3e457eecd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(latent_to_stream(alpha, beta, env*10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f3e48503990>]"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAD8CAYAAAB6paOMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEVHM/X+5+KdG1sQ1wgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3e45791510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#reload(zf)\n",
    "song_synth = zf.finch(vocal_pars, latent_to_stream(alpha, beta*2, env*10))\n",
    "plt.plot(song_synth[:, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAegAAAFDCAYAAADxi50hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n04X8Gzp62vcxSvMwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3e45187c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectr_bos, ax = plot_spectrogram(song_synth[:, 0]*1000, \n",
    "                                   0, 0, 44100,\n",
    "                                   n_window = 512, n_overlap=512-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "fig_path = es.file_names(bird, '{:03d}'.format(syn_sess))\n",
    "fig_fname = os.path.join(fig_path['folders']['stim'], 'synthesis_smooth_a.eps')\n",
    "fig_fname\n",
    "ax.figure.savefig(fig_fname, format='eps', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'folders': {'kai': '/mnt/cube/kai/results/z007/002',\n",
       "  'prb': '/mnt/cube/earneodo/bci_zf/probes',\n",
       "  'proc': '/mnt/cube/earneodo/bci_zf/proc_data/z007/002',\n",
       "  'raw': '/usr/local/experiment/raw_data/z007/002',\n",
       "  'rw': '/mnt/cube/earneodo/bci_zf/raw_data/z007/002',\n",
       "  'ss': '/mnt/cube/earneodo/bci_zf/ss_data/z007/002',\n",
       "  'stim': '/mnt/cube/earneodo/bci_zf/stim_data/z007/002',\n",
       "  'templ': '/mnt/cube/earneodo/bci_zf/templates',\n",
       "  'tmp': '/usr/local/experiment/tmp_data/z007/002'},\n",
       " 'locations': {'archive': '/mnt/cube/earneodo/archive/bci_zf',\n",
       "  'experiment': '/mnt/cube/earneodo/bci_zf',\n",
       "  'experiment_local': '/usr/local/experiment',\n",
       "  'repos': '/mnt/cube/earneodo/repos',\n",
       "  'scratch': '/usr/local/experiment/scratchpad',\n",
       "  'store': '/Data/bci_zf'},\n",
       " 'structure': {'cand': 'experiment.mot.h5',\n",
       "  'evt': 'experiment.kwe',\n",
       "  'kk_par': 'params.prm',\n",
       "  'kk_prb': '*.prb',\n",
       "  'ks_cfg': 'config.m',\n",
       "  'ks_map': 'chanMap.mat',\n",
       "  'ks_mas': 'master.m',\n",
       "  'ks_par': 'params.py',\n",
       "  'mic': 'experiment-rec_000.mic.wav',\n",
       "  'par': 'experiment.par.yml',\n",
       "  'sng': 'experiment.sng.kwe',\n",
       "  'ss_bin': 'experiment.dat',\n",
       "  'ss_lfp': 'experiment.lfp.kwd',\n",
       "  'ss_par': 'experiment.par.yml',\n",
       "  'ss_raw': 'experiment.raw.kwd',\n",
       "  'stm': 'experiment.stm.kwe',\n",
       "  'structure': 'experiment',\n",
       "  'sts': 'experiment-rec_000.sts.wav'}}"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "es.file_names(bird, '{:03d}'.format(syn_sess))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'folders': {'kai': '/mnt/cube/kai/results/z007/',\n",
       "  'prb': '/mnt/cube/earneodo/bci_zf/probes',\n",
       "  'raw': '/usr/local/experiment/raw_data/z007/',\n",
       "  'rw': '/mnt/cube/earneodo/bci_zf/raw_data/z007/',\n",
       "  'ss': '/mnt/cube/earneodo/bci_zf/ss_data/z007/',\n",
       "  'stim': '/mnt/cube/earneodo/bci_zf/stim_data/z007/',\n",
       "  'templ': '/mnt/cube/earneodo/bci_zf/templates',\n",
       "  'tmp': '/usr/local/experiment/tmp_data/z007/'},\n",
       " 'locations': {'archive': '/mnt/cube/earneodo/archive/bci_zf',\n",
       "  'experiment': '/mnt/cube/earneodo/bci_zf',\n",
       "  'experiment_local': '/usr/local/experiment',\n",
       "  'repos': '/mnt/cube/earneodo/repos',\n",
       "  'scratch': '/usr/local/experiment/scratchpad',\n",
       "  'store': '/Data/bci_zf'},\n",
       " 'structure': {'cand': 'experiment.mot.h5',\n",
       "  'evt': 'experiment.kwe',\n",
       "  'kk_par': 'params.prm',\n",
       "  'kk_prb': '*.prb',\n",
       "  'ks_cfg': 'config.m',\n",
       "  'ks_map': 'chanMap.mat',\n",
       "  'ks_mas': 'master.m',\n",
       "  'ks_par': 'params.py',\n",
       "  'mic': 'experiment-rec_000.mic.wav',\n",
       "  'par': 'experiment.par.yml',\n",
       "  'sng': 'experiment.sng.kwe',\n",
       "  'ss_bin': 'experiment.dat',\n",
       "  'ss_par': 'experiment.par.yml',\n",
       "  'ss_raw': 'experiment.raw.kwd',\n",
       "  'stm': 'experiment.stm.kwe',\n",
       "  'structure': 'experiment',\n",
       "  'sts': 'experiment-rec_000.sts.wav'}}"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "es.file_names(bird)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# convert parameters from kai format to mine (2 to 2+1/2)\n",
    "latent_par = syn.load_syn_stream(bird, syn_sess=syn_sess, \n",
    "                                             s_f=30000, \n",
    "                                             new_s_f=44100, \n",
    "                                             file_base='synth_bos_export')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([29422, 29425, 29428, 29430, 29431, 29433, 29434, 29436, 29437,\n",
       "        29439, 29440, 29442, 29443, 29445, 29446, 29448, 29449, 29451,\n",
       "        29452, 29454, 29457, 29460, 29463, 29466, 29469, 29472, 29475,\n",
       "        29478, 29480, 29481, 29483, 29484, 29486, 29487, 29489, 29490,\n",
       "        29492, 29493, 29495, 29496, 29498, 29499, 29501, 29502, 29504,\n",
       "        29507, 29510, 29513, 29516, 29519, 29522, 29525, 29528, 29530,\n",
       "        29531, 29533, 29534, 29536, 29537, 29539, 29540, 29542, 29543,\n",
       "        29545, 29546, 29548, 29549, 29551, 29554, 29557, 29560, 29563,\n",
       "        29566, 29569, 29572, 29575, 29577, 29578, 29580, 29581, 29583,\n",
       "        29584, 29586, 29587, 29589, 29590, 29592, 29593, 29595, 29596,\n",
       "        29598, 29599, 29601, 29604, 29607, 29610, 29613, 29616, 29619,\n",
       "        29622, 29625, 29627, 29628, 29630, 29631, 29633, 29634, 29636,\n",
       "        29637, 29639, 29640, 29642, 29643, 29645, 29646, 29648, 29649,\n",
       "        29651, 29654, 29657, 29660, 29663, 29666, 29669, 29672, 29674,\n",
       "        29675, 29677, 29678, 29680, 29681, 29683, 29684, 29686, 29687,\n",
       "        29689, 29690, 29692, 29693, 29695, 29696, 29698, 29701, 29704,\n",
       "        29707, 29710, 29713, 29716, 29719, 29722, 29724, 29725, 29727,\n",
       "        29728, 29730, 29731, 29733, 29734, 29736, 29737, 29739, 29740,\n",
       "        29742, 29743, 29745, 29746, 29748, 29751, 29754, 29757, 29760,\n",
       "        29763, 29766, 29769, 29772, 29774, 29775, 29777, 29778, 29780,\n",
       "        29781, 29783, 29784, 29786, 29787, 29789, 29790, 29792, 29793,\n",
       "        29795, 29796, 29798, 29801, 29804, 29807, 29810, 29813, 29816,\n",
       "        29819, 29821, 29822, 29824, 29825, 29827, 29828, 29830, 29831,\n",
       "        29833, 29834, 29836, 29837, 29839, 29840, 29842, 29843, 29845,\n",
       "        29848, 29851, 29854, 29857, 29860, 29863, 29866, 29869, 29871,\n",
       "        29872, 29874, 29875, 29877, 29878, 29880, 29881, 29883, 29884,\n",
       "        29886, 29887, 29889, 29890, 29892, 29893, 29895, 29898, 29901,\n",
       "        29904, 29907, 29910, 29913, 29916, 29919, 29921, 29922, 29924,\n",
       "        29925, 29927, 29928, 29930, 29931, 29933, 29934, 29936, 29937,\n",
       "        29939, 29940, 29942, 29945, 29948, 29951, 29954, 29957, 29960,\n",
       "        29963, 29966, 29968, 29969, 29971, 29972, 29974, 29975, 29977,\n",
       "        29978, 29980, 29981, 29983, 29984, 29986, 29987, 29989, 29990,\n",
       "        29992, 29995, 29998, 30001, 30004, 30007, 30010, 30013, 30016,\n",
       "        30018, 30019, 30021, 30022, 30024, 30025, 30027, 30028, 30030,\n",
       "        30031, 30033, 30034, 30036, 30037, 30039, 30040, 30042, 30045,\n",
       "        30048, 30051, 30054, 30057, 30060, 30063, 30066, 30068, 30069,\n",
       "        30071, 30072, 30074, 30075, 30077, 30078, 30080, 30081, 30083,\n",
       "        30084, 30086, 30087, 30089, 30092, 30095, 30098, 30101, 30104,\n",
       "        30107, 30110, 30113, 30115, 30116, 30118, 30119, 30121, 30122,\n",
       "        30124, 30125, 30127, 30128, 30130, 30131, 30133, 30134, 30136,\n",
       "        30137, 30139, 30142, 30145, 30148, 30151, 30154, 30157, 30160,\n",
       "        30163, 30165, 30166, 30168, 30169, 30171, 30172, 30174, 30175,\n",
       "        30177, 30178, 30180, 30181, 30183, 30184, 30186, 30187, 30189,\n",
       "        30192, 30195, 30198, 30201, 30204, 30207, 30210]),)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.where(latent_par[:,3]<0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f35328e8b50>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhUAAAFkCAYAAACXcsmHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFURERBSI/weFUasPl/bkWQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3534af9150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(latent_par[:,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc220784410>]"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAisAAAFkCAYAAADhSHsMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc220784450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(latent_par[:,0]/400000)\n",
    "plt.plot(0.15 - latent_par[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc220651490>]"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhUAAAFkCAYAAACXcsmHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFURERBSI/weFUasPl/bkWQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc2207845d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(latent_par[:,3])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(30212, 2)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.vstack([latent_par[:, 0], latent_par[:, 1]]).T.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc21bd25d50>,\n",
       " <matplotlib.lines.Line2D at 0x7fc21bd25e50>,\n",
       " <matplotlib.lines.Line2D at 0x7fc21bd25f50>]"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhUAAAFkCAYAAACXcsmHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+7XNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc21b931b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "latent_par = syn.load_syn_stream(bird, syn_sess=syn_sess, \n",
    "                                             s_f=30000, \n",
    "                                             new_s_f=44100, \n",
    "                                             file_base='synth_bos_export')\n",
    "def latent_to_stream(onof, beta, alpha):\n",
    "    onof[onof>.3] = .3\n",
    "    onof[onof<0] = 0\n",
    "    alpha[alpha<0]=0\n",
    "    return np.vstack([0.15 - onof, -beta, alpha]).T\n",
    "\n",
    "par_stream = latent_to_stream(latent_par[:, 1], latent_par[:, 2], latent_par[:, 3])\n",
    "plt.plot(par_stream)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc21b814750>]"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhIAAAFkCAYAAAB1rtL+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc21ba9d9d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(par_stream[:, 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc220169890>]"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiIAAAFkCAYAAAAdXVDGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzt3XmcZGV56PHf0z0LDMsMi8yA4qCAgKLIjIDIVVH0Aiqi\nRi/piAvmGr1uODHBq8kNCBquqIzRK2r0CjFqJ8QNI5AxLlyVTZ0BJMhi2BEYtnFAZpil671/vFXT\n1T29THfXqXOq6vf9fPrT3afO8tapU+c853mXEyklJEmSytBXdgEkSVLvMhCRJEmlMRCRJEmlMRCR\nJEmlMRCRJEmlMRCRJEmlMRCRJEmlMRCRJEmlMRCRJEmlMRCRJEmlaUsgEhHvjojbI2J9RFwVEYdN\nMO+LI6I26mcoIvZoR1klSVL7FB6IRMRJwKeA04FDgeuAFRGx+wSLJWB/YFH9Z8+U0gNFl1WSJLVX\nFP3Qu4i4Crg6pXRq/f8A7gY+k1I6Z4z5Xwz8GNglpfRooYWTJEmlKjQjEhGzgaXAjxrTUo58fggc\nOdGiwLURcW9E/CAiXlBkOSVJUjlmFbz+3YF+YPWo6auBA8ZZ5j7gHcCvgLnA24HLIuLwlNK1o2eO\niN2AY4E7gCdaU2xJknrCdsA+wIqU0sNlFKDoQGTKUkq3ALc0TboqIvYFlgFvGWORY4Gvt6NskiR1\nqTcC3yhjw0UHIg8BQ8DCUdMXAvdPYT2/AI4a57U7AL72ta9x0EEHTbV8XWfZsmUsX7687GKUzv0w\nzH2RuR8y98Mw9wXceOONnHzyyVC/lpah0EAkpbQpIlYCxwDfgy2NVY8BPjOFVT2XXGUzlicADjro\nIJYsWTKD0naH+fPnux9wPzRzX2Tuh8z9MMx9MUJpTRvaUTVzLnBBPSD5BbmKZR5wAUBEnA3slVJ6\nS/3/U4HbgRvIdVdvB14CvLwNZZUkSW1UeCCSUrqwPmbImeQqmWuBY1NKD9ZnWQTs3bTIHPK4I3sB\n64BfA8eklH5adFklSVJ7taWxakrpPOC8cV47ZdT/nwA+0Y5ySZKkcvmsmS4zMDBQdhEqwf0wzH2R\nuR8y98Mw90U1FD6yatEiYgmwcuXKlTY6kiRpClatWsXSpUsBlqaUVpVRBjMikiSpNAYikiSpNAYi\nkiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSp\nNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYi\nkiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNAYikiSpNLPKLkCr3H7fGra/68EpL1dLNXbefh57\n77FTAaWqjpTgprsfAGLKyw6lIZ6x50LmzJn6sq1w78OP8bs1D7LdrO2Y1Te7petOKdHXBwfuvUdL\n16ttt3rNH/jdmofZfta8tm97qLaZHbefyz4Ld237tqumVkvcfM9Dxaw71dhlx+3Za7edC1n/eG68\n+36GhhJ90U/ExOevPXfdiQU7btemkqlZ1wQir//ey+BX01/+44f8K6e95lWtK1DF7HnWwaxON8xo\nHen01KLSbLuLr/0Fr7roiMK389Q5z+XOD11T+HY00p0PPcg+nys/CFz2zHM59w3Lyi5GqfrPKj5B\nfu3J93LIvnsWvh2AWR+ZwxCbtnn+P93tfL78nrcWVyCNq2sCkbc9+VMs2mff/M9YkW9KeXrjd90X\n7nw3jwzdw0O/39CmkpZj9w2Hs3rODbx/8VeZ1z9/m5fbXNvIOXe8ocCSTeyuBx/Z8vdb9/oEe233\njJau/6Y/XM63HziHuzZe29L1atuseXT4e/eBxd9gbv8Obd3+3952IgAX3znIufR2INLwzr0/z66z\n92rpOhv7+Tf33d62QGSnWMTv093sNvsp/MmeH2GnWbtPOP+rlj63LeXS1romEHn3q45myZIlU17u\nhP98Bkd+/SAWzFpYQKmqY8HmA+lnF5a/9U1TXvbC//ka1jy6sYBSTW63ufmkdcELfsFbXn5YAVt4\nNfGRczh21scKWLcmlfJd+On7XcwZb3xF2ze/0w+/wIcufydz+kzJ7/uHk1m9+bd8/vR3tnzdC7/3\nY0695qUsmDNxMNBKL5rzfr736Ed46PS727ZNTU/PN1aN+i4YSrWSS1KsWqptOelPXR8pytk/Q7W8\n3f6+Ag/VzXOZQ3e3Eaqq+sdL3yT190U5+snHAXDCwveUsv0qSUBfmlPIuhttu4bSUCHrH0uNmZzz\n1E49/yk1LnCp2wMRaluCrqnqow8oKRAZqgci/UUequVcBAVDtdzuKEo6E83uzxfI7fp3LKcAFZJS\noqjvwmQNRYuQZnTzpXbq+U+pr34GTCVdaNtlZl/KPlK0706mWSMjUugdc4r6SVjtVqsHImVlRBr8\n/CGRiIKD8lob93OiRhiIdISe/5QagUityzMiQ2loBhmR/tICtcYd86yCMyIJL0RlaHy+fX3lBCKN\nO3UDkbwPpnuOmMyWQLON+zmf0812doKeD0QaVTPdHojkjEj/tJYN+qCb24hgRqQsjYxIf0mByHAm\nxs8/USssI9JYb3szIsmqmQ7R859S4w6g26tmamn6bUSCvhIzIsUHIpHMiJRlaKjcqpkyLpBVlVIq\nsC1HPfPUxu/ZzBroq516/lPqlYxIbQb1pVXIiBReNeOFqBRlV800tmsg2tgHxXwOfSVUgeWbp56/\nxHWEnv+UtrQRoZzGmO1iRmQyXojKUCu7jQi2EWnIjVWL+Z6V0Ranlmys2ina8ilFxLsj4vaIWB8R\nV0XEhCNTRcTREbEyIp6IiFsi4i1FlW1Lr5kuz4jk99e5GZFCu++moGYgUop6HFJaG5ExR2HuUSkV\n2EYk2p95svtu5yj8U4qIk4BPAacDhwLXASsiYswh9iJiH+D7wI+AQ4C/A74cES8vony9UzUz/V4z\nQVQgI1LkBcOqmbI02oiUFQ/0lXCBrKoiu++W0RbHAc06Rzs+pWXAF1NKX00p3QS8E1gHvG2c+f8H\ncFtK6bSU0s0ppc8B36yvp+WGxxHp7hNRTlNOr9cM9EGUs38aqftZRfea6fLPv6qsmqmO3Fi12O67\nbW0jYvfdjlFoIBIRs4Gl5OwGACkfiT8EjhxnsefXX2+2YoL5Z1rGXK5u7zUzg5FV88m6pIxIak/V\njMrRuEMurfuujVW3KLL7LiUEfIlkG5EOUfRD73YH+oHVo6avBg4YZ5lF48y/c0TMTSm19DG5nd59\nb/16uPXW4QcLQ/59111w++3wyCNw+unA8TXYZyaNVYvdP/ffDw8/nH/fddfw9H/7eQ2e2nlVMw8+\nCKtXDz/s+RnPgDnFPMajcmo1+M1vhv9PKU/r789/pwSXXQY77AD//bQE74Oy71x7MSPywANw883w\n4x/DGWcAA8UP8d7K88jjj8PXvgYbNsCsWfC858Hhhw+/7oBmnaNrnr67bNky5s8f+Xj7gYEBBgYG\nJlyuUTWzeXNrviDr18Mdd8B//Ads3pz/fvDB/FojWPjFL6BR09A4/9Vq8NvfwkMPwdy5E2+j+Zy5\nYVvDsph+fWlEjNtYdcMGuPJK+PrX4c478/tvHkRx40a46SbYtGlkuUe3CVi/fpyN71eDk2GnHYvN\niDTaokzF73+fP6+U4Ac/yJ/1Qw/BBRdsPW/js/+Lv4BPfGLGJQbyfv+rv4LLL8/7d/Rx07y/N26E\nc8+F979/29b96U/Dd74z9kCY69fDLbfkz775s268x20+JgF2yxu47rqAY6ewXItsqZopKSNSq+Xv\nx/XX5/NFf38+P0TANdfAunU5gI2AoaH8A3k/z5qVl581a3ja0FBeR0Pjc4F8jFx9df571qy8vZHa\n0H131H7etAm++MV87vjmN2GvvYZf+8//zN+x5mNw06aJt1OrNR2TthHZyuDgIIODgyOmrV27tqTS\nDCs6EHkIGAIWjpq+ELh/nGXuH2f+RyfKhixfvpwlS5ZMuYCN1Oz/+VyNz07h6dcp5YzDNdfA//t/\n+URy2WXjz3/ggc3bzD/Pfe7wl6a/Hw4+ON9FH3PM5NtvnPQj4ClPgYVNeywlmDcPnvnM/P+sWdD/\n6qEZfCmD5u6tKcGf/zn84z/mLEbDc56Tf5rLCPCiF8FTnzrxFnbaCQ6o58ie9jR40pPy3xffkjjx\nQpi/c3EnlFTr47LLEv/6r3DCCePP98QTOag880w4//zhi0KzZz0LXvEK2Hdf+OM/zp/zY4/B5z+f\nL+yf/GT+aVx0plzWBB//OHzoQyOnv+1t+XiCsRt+vve9cO2127aNN74RvvGN/F6WLt369Vot33ke\neODIC13j702bYOed8/INfX3D2ZBaLR+fz342/NuvEiesgGNe2nkjq/7ud/CpT8HPfgYf+Uj+3Cez\nejV89rNw443w05/mwHUsO+0Eu+6ag5AjjsiB5Ny5wzcwMPzk4sbFNyK/XqsNX7wb54nG//39+fu4\ncGGed599cgbyOc+BF38xQW267cgmM5x5fuwx+Mu/zAFIs/32y1myxnf/4IPzOaHx3mq1HJjcfHMO\nvg8/PAdqO+6Y9+vPf573Z2P5Irsjd6qxbs5XrVrF0rG+6G1UaCCSUtoUESuBY4DvAUTO0R0DfGac\nxa4Ejh817b/Wp7fc8IGaRlRvNNu4Macxb70Vfv1r+Na3cvDRMGdOPvm+7nX55Lr33jlNuO++MHv2\n8B1NmU58TY2bH53eSWbjE308sSHvmJTgqKPy3Tjk9/yqV+WL7vbbt6q0w/r689m2yIdxzdu+j3VR\n49Wvzp/d4YfnICOlHGjddlv+f/WoCsOzzsony112ySf4F7xg5IWi2ctfno+jQw7Jd8CzZuWLUXOA\nOpmhoVy+++7L/x96KFx66cggdDwXX5wDosk89FAOQiAH10Uft/vtl2AFLNyj3GfNbGvV7KZNcM45\nOWPUHES88pUTP0bl//7fnI36wx+Gpx1+OLzhDfn7tHRpvqFoZDqK+C5NZunKGtvNKjgjUks873k5\nowZw5JH5xuMrX5k8EzyRa6/N34dbb20ORGq2/+oQ7aiaORe4oB6Q/ILc+2UecAFARJwN7JVSaowV\n8gXg3RHxceAr5KDl9cA23G9M3fyd6wdqverh1ltzANHwuc/B+943fPcBsPvuOXp/7WvzhfjQQ2f2\nJWqHJ+1R475p3h3cfFPA02vcdVe+OF15JZx6KixfXvyFqlF331fgc+J33jn4wP9K/Md5w8HmvffC\nS16S70qPOirfqT32WD42DjwQXvziqW9nzpwcfHz607BsGRx0EJx4Yq7njoCVK+GKK3Jgd/DBWy9/\n33355+lPz8HM7Nnbvu2ddoI1ayaf7+1vz79//ev2BM+Nz7fop76OZ1uHlv/d7+CjH4UvfGF42rOe\nBZ/5TP4s3v3ufJd+1FEjl7vvvpHVDQMD8LGP5UxE2Tcnoz1pj8T2BQUijc/3zW9JcE/OCn7gA61b\nf+Ocfeut8Pzn57/zsWVGpBMUHoiklC6sjxlyJrmK5Vrg2JRSveUEi4C9m+a/IyJeCSwnN2O7B/jT\nlNLonjQt0bjAnfeFxLuOgg9+MNdVQk53n39+/vv883NVx+LF23YHWjW1VJv2xfy1r+3jO9clXv1q\naDTDOeec9pxIG+O7FPcMjHwM9M+q8e1vF7aJEd7//hyEHHccXHRRDhKarVgBP/nJ1ss12hr90z9N\nLQiBXFXS3Ah4LJs2wXe/my+cz3721NY/U0V+vpNsGBi/jUhKcPLJw1miffbJwcSZZw63zTjiiByI\nfOITIwORH/4wZ8IATjopn0PKyHRsqyKfNRNbGpvn/dzKIATyd+hJT8rZy4ZiewGpldrSWDWldB5w\n3jivnTLGtJ+Su/0WrnGg7rBDvuDdc0+e/oEPDAcha9bAggXtKE1xakw/ENlnccCva1x3Xb6gQft6\ngDQuEEWeUPqir+0D2h17bM6yXXVVvvivXZsvYv/wD7kKZyyNQKSRep6KnXeGRx+deJ5f/Sr/br7r\nL1rZ3WYnGkdk3bqcCWv47W9zJnS0xjw/+EH+vXFjbpT82c/m/y+7bHoZtHZrx4BmMDJYaKV9980Z\nkYaUfPpup+iaXjPT1fwMhJNOgn/+53yn02iIuGnT8J1PJxuqDU07EAmCnXZOPEa+mL3pTa0t20Ta\nUTVTRiAC+Wb8yCPzT8Mvfzl2NgSGGwbvPuaYxBPbaafJ24hcdVW+Yz/uuKmvf7qqUjXTHBCtWwdP\nfnJuGAm53c/mzRNnAF/2spwBufDCnP1ouP/+zsmgziRrOpktX69IPO1phWyCpz51+EYS6iOrmhHp\nCD0fLjaPrHriiXlaIwh54onuCEIgn2T6Y3qNVfuij912Gz5Rv/71rSrV5NpVNVP2nXnDggXDF8DR\nHnssXwyb79K31Y47jmwoOZY778wNB6da7TMTWzJeJVXNNLa7/Ny0pXfGDjsMfwYf+EA+H0xWvPe8\nJ/9uBCFnnZWrdTolCIEcFBYViKxenXfgn7yxuO/Z6GA7Z0QMRDpBl1xmp294QLPcawJyD5BRXa07\n3kzudiKCWXOGMwYvfGGrSjW5xoWqGzMiY9lll/EblT7+eO72Op1r9pw541f5NNx9d+650U5lZ0S2\nbHfUIwy+/vXcFmRb93WjLcjee+ceIdtt18JCtkkt1QoLCA84IOC3cPzxbQxE7L7bMXo+EBl++m5i\nhx0m7oLXyWYSiPRFHykltt8+D2a1yy4tLtwEtmRECrxQBVGZQGTBghxwbNq0dWbi8cenlw2BvK7J\nBoN64IHcGLOdys6IPPFE3u7s2YmNM/juz5vX+eeOItuI7LM4r3fx4nYGIlbNdIqeD0SGxxGoxoWo\nKDPKiNQv1DfemLsxtlM3txEZSyPI+/3vt26UOrrx5FQ0xrppHoBstMcfz1U47VR2RmRRverkrI+W\nsvlKKbJqph0j2I5VNeOzZjqDn1JdVdoIFGUozaCxauSn0y5enAftaqe2tRGpyO1scyAy2kwzIjDW\nsN7D/vCHEgKRkjMic+bk7e65ZzU+/zIVWTXT3CmgKI1AZMszt8yIdAwDEap1ISpKLdXo75t+Y9Wy\n9k+vtRFpdBMfq53ITAKRRnfridqJzGT901V2RmSi7ru9JtH5GZFabfi5Vb+5MbHhCS9xncBPiWq1\nESjKPY/ew8PrHp58xjGUuX/a0UakSoFIY5yWscb8aEcg0u6MyL/85l8AuPzuy9u74boingrbqWqp\nuAHA2pURgeHqmc2bHeK9U/R8GxHI1RbvuuRdnHDACcztr/hY7dOwubaZX937q2kv/6VVX2L146u5\n/K7LecZuz2hhySb3pu/kQUuKzIjc8OAN3PDgDXz4hR8ubBvbasMsYB7cswYefHzka49sgFnzt56+\nLdaR13vfo7B5jMHoUoI/JKhtP731T9fZPz8bgLvX3t2+jTZpXHhPuegUXrH/K3p2JM5E4oq7r+CK\nu6/ggtdc0Pr11wOQ/335/+bgPcZ4fkELDM0F5sEdD8Kjm4FDLyhkO2q96PSUZEQsAVauXLlyWk/f\nBYiP9M7JJ50+9c+7Cvtn419vZHZ/MQNcVOH99bp/+qN/4qSDT5p8xhZLKdF3ponhZtM5R0xm1X2r\nWPr35TzhtYj3002anr67NKW0qowymBEBTnvBaZxzxTl843XfYIc5ba4kb4PHNjzGyd85mav+9Kpp\nLf/IaY+w6zm7cvJzTuYNz3xDi0s3sTMuO4PD9jqssCAEYPCPBhn41gAX/fFFhW1jKhoD6515Zn5a\nb8Nf/mUePfK97536Oq+7Dv7mb/Kj1xctGp5+7rkjnyT9Z3+WnyTbLu+99L3suv2upQQhkKsMXnfQ\n6/j2jd/mm2/4ZqHHWZVtrm3mjy78I67+71cXsv4ley5h6Z5L2Ti0kY++tJguSr/7HbzrXXksl7vv\nTjDwGvjHf4PTC9mcWsiMiFQxp56an+oKI8emWLo0P2DtvDGf2jSxn/0MXvSi/KTYAw4Ynt7oJPGy\nl+Xuwn//9+1vJyK1wr335qH5R+vwS1zhzIhI2srf/V0+qTaeAt2wceP0HzbY6L47urHqvvvCG94A\nZ589vfVKVdH8FOsPfzgPr79iRXnl0bazclSqoJe+dOvnHG3cOP3nwDTWNXockVptekPGS1XT3KPs\nYx+D970PLr64vPJo2xmISBU0VnAwk4xIf30ImdqoXsoTjbQqdZK+Prj+etiwoeySaKqsmpEqanTd\n9qZN0w9E+uq3HI0nSzdvw0BE3eLgYnoGq2BmRKQKitg6EJlJ1YwZEUlVZSAiVdB4gchMq2bMiEiq\nGgMRqYJaHYhYNSOpqgxEpApqZ2PVPs8CkkrkKUiqoEYg0siK1Go5mzHTNiKjMyJ235VUNgMRqYJG\nByKbNuXfVs1I6jYGIlIFjQ4OGiOiOo6IpG5jICJVWCMj0qpAxIyIpKoxEJEqaLyqmem2EbFqRlJV\nGYhIFTQ6ELFqRlK3MhCRKqioQGSsjIjddyWVyVOQVEGtDkTGq5qx+66kshmISBU0XiDis2YkdRsD\nEamCWj2OiL1mJFWVgYhUQe2qmjEQkVQ2AxGpgsYb0MyqGUndxkBEqrBGRmTz5vy71c+aMRCRVDYD\nEamCRlfNNAKRRkAx3fX59F1JVeMpSKqg0YFII5Mxa9b019nfb/ddSdVjICJVUKszIo1lrZqRVDUG\nIlIFFZER6euzsaqk6jEQkSpovIxIq6tmDEQklc1ARKogq2Yk9QoDEamCRgcHVs1I6laFBSIRsUtE\nfD0i1kbEmoj4ckTsMMky50dEbdTPJUWVUeoURWZE7L4rqUwzuL+a1DeAhcAxwBzgAuCLwMmTLHcp\n8FagcZ+2oZjiSdU3urHqTIIGu+9KqqJCApGIOBA4FliaUrqmPu29wMUR8RcppfsnWHxDSunBIsol\ndYrRwcHmzblaZiZBg1UzkqqoqKTskcCaRhBS90MgAUdMsuzREbE6Im6KiPMiYteCyihVXnNGZCbV\nMjB2RgQMRCSVq6iqmUXAA80TUkpDEfFI/bXxXAp8C7gd2Bc4G7gkIo5MqXFKlrrfeBmRmRgdiDS+\nUQYikso0pVNbRJwNfHCCWRJw0HQLk1K6sOnfGyLieuBW4GjgJ9Ndr9TpWpERGV01YyAiqQqmeo/1\nSeD8Sea5Dbgf2KN5YkT0A7vWX9smKaXbI+IhYD8mCUSWLVvG/PnzR0wbGBhgYGBgWzcnVU7zOCJm\nRCTNxODgIIODgyOmrV27tqTSDJvSqS2l9DDw8GTzRcSVwIKIOLSpncgx5J4wV2/r9iLiKcBuwH2T\nzbt8+XKWLFmyrauWKq2dVTN235V6w1g356tWrWLp0qUllSgr5BSUUroJWAF8KSIOi4ijgM8Cg809\nZuoNUk+s/71DRJwTEUdExOKIOAb4LnBLfV1Sz2llY9WI4fXBcDWNGRFJZSryXuhPgJvIvWW+D/wU\neMeoefYHGvUpQ8BzgIuAm4EvAb8EXpRS2lRgOaXKKSIj0tc3MhCxakZSFRQ2oFlK6fdMMnhZSqm/\n6e8ngOOKKo/UyVqVEbGxqqSqsXZYqrBWNlY1IyKpigxEpAoa66F3dt+V1I0MRKQKa2VGxKoZSVVk\nICJVUDsbq9p9V1KZPAVJFdbq7rvNGRG770qqAgMRqYLsviupVxiISB3AxqqSupWBiFRhNlaV1O0M\nRKQKGqv7rlUzkrqRgYhUYc0ZEUdWldSNDESkCjIjIqlXGIhIHaCIjMim+qMk58yZ2XolaSYMRKQK\nK/JZM088kX/PnTuz9UrSTBiISBVUVNVMc0bknnvy75muV5JmwkBEqrAiG6ted13+vWDBzNYrSTNh\nICJVUDsaq95xBzz1qXDIITNbryTNhIGIVGFFZkSuvhqOOGJm65SkmTIQkSporIxIK4Z4bw5sVq6E\nww+f2TolaaYMRKQO0OrGqpddBuvXw/77z7hokjQjBiJShTUyGENDOZCYieaqmSuuyL9f+tKZrVOS\nZspARKqg0VUztVprq2a22y7/3mmnma1TkmbKQESqsKIyIhEwf/7M1idJrWAgIlVQ0RmRVjR+laRW\nMBCROkCrMyKtaPwqSa1gICJVWCODUavNPBAxIyKpigxEpAoqqmqmkRFpxQBpktQKBiJShRXVWNWM\niKSqMBCRKsjGqpJ6hYGI1AHMiEjqVgYiUoU1N1Y1IyKpGxmISBU01kPvWtFrxoyIpKoxEJEqrJUZ\nEatmJFWRgYhUQUVlRKyakVQ1BiJShZkRkdTtDESkCjIjIqlXGIhIHcCMiKRuZSAiVVgrR1Yd3WvG\nh95JqgIDEamCxhpZ1aoZSd3IQESqMBurSup2BiJSBdlYVVKvMBCROoAZEUndqrBAJCI+HBGXR8Tj\nEfHIFJY7MyLujYh1EfHvEbFfUWWUqi6l4R8zIpK6UZEZkdnAhcDnt3WBiPgg8B7gz4DDgceBFREx\np5ASShXVXDXTyGK04qF3ZkQkVU1hHfhSSh8BiIi3TGGxU4GzUkrfry/7ZmA18BpyUCP1lJRy0AAz\nz4hYNSOpiirTRiQingYsAn7UmJZSehS4GjiyrHJJZSgqI2LVjKSqqUwgQg5CEjkD0mx1/TWp5xSV\nEdm82UBEUjVMqWomIs4GPjjBLAk4KKV0y4xKNQ3Lli1j/vz5I6YNDAwwMDDQ7qJIM2ZGRFKrDQ4O\nMjg4OGLa2rVrSyrNsKm2EfkkcP4k89w2zbLcDwSwkJFZkYXANZMtvHz5cpYsWTLNTUvVZRsRSa0w\n1s35qlWrWLp0aUklyqYUiKSUHgYeLqIgKaXbI+J+4Bjg1wARsTNwBPC5IrYpVV1K9pqR1N2KHEdk\n74g4BFgM9EfEIfWfHZrmuSkiTmxa7NPAX0fECRHxbOCrwD3ARUWVU6qisapmWj2OiA+9k1QFRZ6K\nzgTe3PT/qvrvlwA/rf+9P7ClYUdK6ZyImAd8EVgA/Aw4PqW0scBySpVl911J3a7IcUROAU6ZZJ6t\nToUppTOAM4opldQZbKwqqVdUqfuupDGYEZHUzQxEpAprdWNVMyKSqsZARKqg5qqZVmVE7DUjqYoM\nRKQKa2UrScbNAAAQ9klEQVRGxKoZSVVkICJVUFEZEatmJFWNgYhUcWZEJHUzAxGpwlo5jogZEUlV\nZCAiVVBR44g01lWrGYhIqgYHeZYqrLmxaqvHEZnp+iSpFTwVSRVU9LNmzIhIqgoDEanCiuy+a0ZE\nUhV4KpIqqOjuu7WagYikavBUJFVcERkRq2YkVYWBiFRhre6+a9WMpKrxVCRVUFHdd62akVQ1noqk\nCisqI2LVjKSqMBCRKqjoAc2smpFUFZ6KpIprVUak0Vg1pfxjRkRSFRiISBXWynFEGoFMqwZIk6RW\n8FQkVVBR44gAbN7cmvVJUit4KpIqrIiMSCMQsWpGUhUYiEgVVERGpLHOG29szfokqRU8FUkV1sqn\n786Zk38fdlj+PW/ezNYnSa0wq+wCSNpaEd13X/tauOSSHIBEwAteMLP1SVIrGIhIFdeqqpm5c+H4\n42deHklqJatmpAprZWNVSaoiAxGpgoporCpJVeSpTaowMyKSup2BiFRBZkQk9QpPbVLFOSS7pG7m\nqU2qsJRyRiRiZJZEkrqFgYhUQaPHEbF9iKRuZSAiVVgjI2K1jKRu5elNqiAzIpJ6hYGIVGFmRCR1\nO09vUgWNzogYiEjqVp7epIqzakZSNzMQkSrMqhlJ3c7Tm1RBNlaV1CsMRKQKMyMiqdt5epMqyIyI\npF5RWCASER+OiMsj4vGIeGQblzk/Imqjfi4pqoxSJzAjIqmbzSpw3bOBC4ErgbdNYblLgbcCjXvC\nDa0tltQ5UjIjIqm7FRaIpJQ+AhARb5niohtSSg8WUCSpYzRXzZgRkdTNqnh6OzoiVkfETRFxXkTs\nWnaBpLKYEZHU7YqsmpmOS4FvAbcD+wJnA5dExJEppVRqyaQ2MiMiqVdMKRCJiLOBD04wSwIOSind\nMp3CpJQubPr3hoi4HrgVOBr4yUTLLlu2jPnz54+YNjAwwMDAwHSKIlWGQ7xLaoXBwUEGBwdHTFu7\ndm1JpRk21YzIJ4HzJ5nntmmWZSsppdsj4iFgPyYJRJYvX86SJUtatWmpEqyakdQqY92cr1q1iqVL\nl5ZUomxKgUhK6WHg4YLKspWIeAqwG3Bfu7YpVYFVM5J6RZHjiOwdEYcAi4H+iDik/rND0zw3RcSJ\n9b93iIhzIuKIiFgcEccA3wVuAVYUVU6pysyISOp2RTZWPRN4c9P/q+q/XwL8tP73/kCjYccQ8Jz6\nMguAe8kByN+klDYVWE6pcsyISOoVRY4jcgpwyiTz9Df9/QRwXFHlkTqRGRFJ3c77LKmCzIhI6hWe\n3qSKMyMiqZsZiEgVlpIZEUndzdObVEHNVTNmRCR1MwMRqcLMiEjqdp7epAoyIyKpVxiISBVnRkRS\nN/P0JlVYYxwRAxFJ3crTm1RBzVUzGzbA3LnllUWSimQgIlVYSrBuHWy/fdklkaRiGIhIFdScEVm/\nHubNK68sklQkAxGpwlLKgYgZEUndykBEqqDRGREDEUndykBEqjgDEUndzEBEqjCrZiR1OwMRqYKa\nq2bsNSOpmxmISBVmRkRStzMQkSqokRHZsCEHI3bfldStDESkClu/Pv82IyKpWxmISBVmICKp2xmI\nSBXUqJpZty7/NhCR1K0MRKQKMxCR1O0MRKQKMiMiqVcYiEgVZhsRSd3OQESqsEZGxO67krqVgYhU\nQY2qGTMikrqdgYhUYbYRkdTtDESkCrKxqqReYSAiVdj69TBnDvT5TZXUpTy9SRXmA+8kdTsDEamC\nmqtmDEQkdTMDEanC1q+3666k7mYgIlWYGRFJ3c5ARKogq2Yk9QoDEanCbKwqqdsZiEgVZiAiqdsZ\niEgV1Kia2bTJQERSdzMQkSrOQERSNzMQkSrO7ruSupmBiFRBjaoZMCMiqbsVEohExOKI+HJE3BYR\n6yLitxFxRkTM3oZlz4yIe+vL/XtE7FdEGaVOYSAiqZsVlRE5EAjg7cAzgWXAO4GPTbRQRHwQeA/w\nZ8DhwOPAioiYU1A5pcozEJHUzWYVsdKU0gpgRdOkOyLik+Rg5LQJFj0VOCul9H2AiHgzsBp4DXBh\nEWWVqsiqGUm9op1tRBYAj4z3YkQ8DVgE/KgxLaX0KHA1cGThpZMqykBEUjdrSyBSb+fxHuALE8y2\nCEjkDEiz1fXXpJ5kICKpm00pEImIsyOiNsHPUEQ8Y9QyTwYuBf45pfSVVhZe6lbNVTN235XUzaba\nRuSTwPmTzHNb44+I2Av4MfDzlNI7JlnufnID14WMzIosBK6ZrGDLli1j/vz5I6YNDAwwMDAw2aJS\npZkRkdQKg4ODDA4Ojpi2du3akkozLFJKxaw4Z0J+DPwSeFPahg1FxL3AJ1JKy+v/70wOSt6cUvqX\ncZZZAqxcuXIlS5YsaVn5pTKtWQO77pr//v734ZWvLLc8krrTqlWrWLp0KcDSlNKqMspQ1DgiewGX\nAXeSe8nsERELI2LhqPluiogTmyZ9GvjriDghIp4NfBW4B7ioiHJKVWWvGUm9opDuu8DLgafXf+6u\nTwtyY9T+pvn2B7bUp6SUzomIecAXyb1sfgYcn1LaWFA5pcozEJHUzYoaR+QfgH/Yhvn6x5h2BnBG\n60sldSYDEUndzGfNSBVk1YykXmEgIlWc3XcldTMDEanizIhI6mYGIlIFWTUjqVcYiEgVZyAiqZsZ\niEgV1+e3VFIX8xQnVVBz1YwkdTMDEUmSVBoDEamCzIhI6hUGIpIkqTQGIpIkqTQGIlIFWTUjqVcY\niEiSpNIYiEiSpNIYiEgV1KiasYpGUrczEJEqzOHdJXU7AxGpwgxEJHU7AxGpghpVMvPmlVsOSSqa\ngYhUYWZEJHU7AxGpwgxEJHU7AxGpghpVMwYikrqdgYhUQSnl39ttV245JKloBiJSBfXVv5kveUm5\n5ZCkos0quwCStjZ3Ltx7LyxcWHZJJKlYBiJSRe25Z9klkKTiWTUjSZJKYyAiSZJKYyAiSZJKYyAi\nSZJKYyAiSZJKYyAiSZJKYyAiSZJKYyAiSZJKYyAiSZJKYyAiSZJKYyAiSZJKYyAiSZJKYyAiSZJK\nYyAiSZJKYyAiSZJKYyDSZQYHB8suQiW4H4a5LzL3Q+Z+GOa+qIZCApGIWBwRX46I2yJiXUT8NiLO\niIjZkyx3fkTURv1cUkQZu5VfrMz9MMx9kbkfMvfDMPdFNcwqaL0HAgG8HbgVOBj4MjAPOG2SZS8F\n3lpfHmBDMUWUJEllKyQQSSmtAFY0TbojIj4JvJPJA5ENKaUHiyiXJEmqlna2EVkAPLIN8x0dEasj\n4qaIOC8idi26YJIkqRxFVc2MEBH7Ae8B/nySWS8FvgXcDuwLnA1cEhFHppTSOMtsB3DjjTe2qLSd\nbe3ataxatarsYpTO/TDMfZG5HzL3wzD3xYhr53ZllSHGv76PMXPE2cAHJ5glAQellG5pWubJwGXA\nj1NK75hS4SKeRm5jckxK6SfjzPMnwNensl5JkjTCG1NK3yhjw1MNRHYDdptktttSSpvr8+8F/AS4\nIqV0yrQKGPEA8FcppS9NUKZjgTuAJ6azDUmSetR2wD7AipTSw2UUYEqByJRWnDMhPwZ+CbxpgqqV\nidbxFOBO4MSU0vdbXERJklSyosYR2YtcHXMnuZfMHhGxMCIWjprvpog4sf73DhFxTkQcUR+H5Bjg\nu8AtjOyBI0mSukRRjVVfDjy9/nN3fVqQ25D0N823PzC//vcQ8BzgzeQeNveSA5C/SSltKqickiSp\nRIVVzUiSJE3GZ81IkqTSGIhIkqTSdHwgEhHvjojbI2J9RFwVEYeVXabpiojTx3jo329GzXNmRNxb\nf5jgv9cHi2t+fW5EfC4iHoqIxyLimxGxx6h5domIr0fE2ohYU39A4Q7teI/jiYgXRsT3IuJ39ff9\n6jHmact7j4i9I+LiiHg8Iu6vN6Juy3dlsv2wLQ+G7JL98KGI+EVEPFofafk7EfGMMebr6mNiW/ZD\nDx0T74yI6+rlWxsRV0TEcaPm6erjob7tCfdDRx4PKaWO/QFOIo8d8mbyg/a+SB5GfveyyzbN93M6\n8GvgScAe9Z9dm17/YP39vYr8IMHvkgd8m9M0z+fJY6q8GDgUuAL42ajtXAqsAp4HvIDcM+lrJb/3\n44AzgRPJDZdfPer1trx3cnB+Pbmh9LPJY9Q8AHy0IvvhfODiUcfI/FHzdMN+uAR4E3BQffvfr7+n\n7XvpmNjG/dArx8Qr69+PfYH9gI+SH4p6UK8cD9u4HzrueCh8pxX8gVwF/F3T/wHcA5xWdtmm+X5O\nB1ZN8Pq9wLKm/3cG1gP/ren/DcBrm+Y5AKgBh9f/P6j+/6FN8xwLbAYWlb0P6uWpsfUFuC3vHTge\n2ERTMAu8A1gDzKrAfjgf+PYEy3Tdfqhve/d6mf9Ljx8TY+2Hnjwm6tt/GDilV4+HcfZDxx0PHVs1\nExGzgaXAjxrTUt4TPwSOLKtcLbB/5LT8rRHxtYjYG7YMd7+Ike/3UeBqht/v88hdspvnuRm4q2me\n5wNrUkrXNG3zh+Su1UcU85Zmps3v/fnA9Smlh5rmWUHuZv6sFr2lmZrowZBL6c79sIBcvkegp4+J\nEfuhSU8dExHRFxF/DMwDrujV42H0fmh6qaOOh44NRMh3Bv3A6lHTV5MPyE50FfBWcuT5TuBpwE/r\n9XKLyAfBRO93IbCx/gUcb55F5PTZFimlIfKJrar7rZ3vfdE424Fq7J9LyVWRLyUPFvhi8oMho/76\nIrpsP9Tf26eBn6eUGm2meu6YGGc/QA8dExFxcEQ8Rr6jP498V38zPXY8TLAfoAOPh7Y8fVfbJqXU\nPILsf0TEL8ij0/434KZySqUqSSld2PTvDRFxPbke/Gjyc5260XnAM4Gjyi5IycbcDz12TNwEHEK+\n63498NWIeFG5RSrFmPshpXRTJx4PnZwReYjcmG/hqOkLgfvbX5zWSymtJTcQ2o/8noKJ3+/9wJyI\n2HmSeUa3ju4HdqW6+62d7/3+cbYDFdw/KaXbyd+FRu+ArtoPEfF/gFcAR6eU7mt6qaeOiQn2w1a6\n+ZhIKW1OKd2WUrompfRXwHXAqfTY8TDBfhhr3sofDx0biKQ87PtK4JjGtHrq6RhG1pV1rIjYkXzw\n3Fs/mO5n5PvdmVxf13i/K8mNiZrnOQB4KnBlfdKVwIKIOLRpU8eQv8RXF/NOZqbN7/1K4NkRsXvT\nPP8VWAuM6EpdBZEfDLkb0Lg4dc1+qF98TwReklK6q/m1XjomJtoP48zftcfEGPqAub10PIyjD5g7\n1gsdcTyU0cK3VT/kKot1jOy++zDwpLLLNs338wngRcBicnepfyfXue1Wf/20+vs7gdxd6rvAbxnZ\nPe084HZyGm4pcDlbd8u6BPgVcBg5zXsz8I8lv/cdyKnG55Jba7+//v/e7Xzv5C/0deR61ueQ2+us\nBs4qez/UXzuHfHJdTD4x/Aq4EZjdZfvhPHLr+xeS77IaP9s1zdP1x8Rk+6HHjom/re+HxeTuuWeT\nL6gv7ZXjYbL90KnHQ+E7rQ0fyrvI/aHXkyO055Vdphm8l0Fy9+P15BbM3wCeNmqeM8jd1NaRWyjv\nN+r1ucBnyam4x4B/AfYYNc8C4GvkyHUN8CVgXsnv/cXkC+/QqJ+vtPu9ky/63wf+UP9ifRzoK3s/\nANsB/0a+83sCuI08HsCTRq2jG/bDWPtgCHhzGd+HsvbFZPuhx46JL9ff3/r6+/0B9SCkV46HyfZD\npx4PPvROkiSVpmPbiEiSpM5nICJJkkpjICJJkkpjICJJkkpjICJJkkpjICJJkkpjICJJkkpjICJJ\nkkpjICJJkkpjICJJkkpjICJJkkrz/wG1PZbdzeeJyAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc220185d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "par_stream[par_stream[:,0]>0, 1] = .15\n",
    "plt.plot(par_stream[:,1])\n",
    "plt.plot(par_stream[:,0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('float64')"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "par_stream.dtype"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc21b751b10>]"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh4AAAFkCAYAAABvkjJwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\neAAAgMiQeAAAgMiQeAAAgMj8P4Q3XirSUCQFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc21b82d290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "song_synth_after = zf.finch(vocal_pars, par_stream)\n",
    "plt.plot(song_synth_after[:, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc221fd24d0>]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh4AAAFkCAYAAABvkjJwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wOjjDtjpVkJowAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc2220424d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(song_synth_after[:,0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}