2020-06-18_caustique-video-xy.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# caustique d'onde"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import MotionClouds as mc\n",
    "from caustique import init, Caustique"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tagging our simulations with tag=2020-06-18_caustique\n"
     ]
    }
   ],
   "source": [
    "import datetime\n",
    "date = datetime.datetime.now().date().isoformat()\n",
    "tag = f'{date}_caustique'\n",
    "tag = '2020-06-18_caustique'\n",
    "print(f'Tagging our simulations with tag={tag}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "opt = init()\n",
    "opt.tag = tag"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Namespace(B_V=2.0, B_sf=0.001, B_theta=0.2617993877991494, H=125.0, V_X=0.5, V_Y=0.5, bin_dens=2, fps=18, nframe=128, nx=1280, ny=2048, seed=42, sf_0=0.002, tag='2020-06-18_caustique', theta=1.5707963267948966, verbose=False)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "opt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# une simple caustique"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "gifname = f'{opt.tag}/{opt.tag}.gif'\n",
    "if not os.path.isfile(gifname):\n",
    "    c = Caustique(opt)\n",
    "    z = c.wave()\n",
    "    gifname = c.plot(z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <center><table border=none width=100% height=100%>\n",
       "            <tr> <td width=100%><center><video  loop=\"1\" autoplay=\"1\" controls  src=\"2020-06-18_caustique/2020-06-18_caustique.mp4\" type=\"video/mp4\"  width=100%\\>\n",
       "            </td></tr></table></center>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if not os.path.isfile(f'{opt.tag}/{opt.tag}.{mc.vext}'):\n",
    "    c = Caustique(opt)\n",
    "    z = c.wave()\n",
    "    mc.anim_save(z.swapaxes(0, 1), f'{opt.tag}/{opt.tag}')\n",
    "mc.in_show_video(f'{opt.tag}', figpath=f'{opt.tag}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from IPython.display import Image, display\n",
    "width = 1024\n",
    "display(Image(url=gifname, width=width))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exploring parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "N_scan = 9\n",
    "base = 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H = 31.250\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_H=31.250.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H = 44.194\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_H=44.194.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H = 62.500\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_H=62.500.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H = 88.388\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_H=88.388.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H = 125.000\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_H=125.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H = 176.777\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_H=176.777.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H = 250.000\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_H=250.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H = 353.553\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_H=353.553.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H = 500.000\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_H=500.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "opt = init()\n",
    "opt.tag = tag\n",
    "opt.bin_dens = 3\n",
    "opt.verbose = True\n",
    "\n",
    "c = Caustique(opt)\n",
    "z = None\n",
    "for H_ in c.opt.H*np.logspace(-1, 1, N_scan, base=base):\n",
    "    print(f'H = {H_:.3f}')\n",
    "    c.opt.H = H_\n",
    "    gifname=f'{opt.tag}/{opt.tag}_H={H_:.3f}.gif'\n",
    "    if not os.path.isfile(gifname):\n",
    "        if z is None:\n",
    "            z = c.wave()\n",
    "        url=c.plot(z, gifname=gifname)\n",
    "    display(Image(url=gifname, width=width))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "======sf_0======\n",
      "sf_0=sf_0(default)*0.250=5.000E-04\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_sf_0*=0.250.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sf_0=sf_0(default)*0.354=7.071E-04\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_sf_0*=0.354.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sf_0=sf_0(default)*0.500=1.000E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_sf_0*=0.500.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sf_0=sf_0(default)*0.707=1.414E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_sf_0*=0.707.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sf_0=sf_0(default)*1.000=2.000E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_sf_0*=1.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sf_0=sf_0(default)*1.414=2.828E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_sf_0*=1.414.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sf_0=sf_0(default)*2.000=4.000E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_sf_0*=2.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sf_0=sf_0(default)*2.828=5.657E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_sf_0*=2.828.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sf_0=sf_0(default)*4.000=8.000E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_sf_0*=4.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "======B_sf======\n",
      "B_sf=B_sf(default)*0.250=2.500E-04\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_sf*=0.250.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_sf=B_sf(default)*0.354=3.536E-04\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_sf*=0.354.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_sf=B_sf(default)*0.500=5.000E-04\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_sf*=0.500.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_sf=B_sf(default)*0.707=7.071E-04\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_sf*=0.707.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_sf=B_sf(default)*1.000=1.000E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_sf*=1.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_sf=B_sf(default)*1.414=1.414E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_sf*=1.414.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_sf=B_sf(default)*2.000=2.000E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_sf*=2.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_sf=B_sf(default)*2.828=2.828E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_sf*=2.828.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_sf=B_sf(default)*4.000=4.000E-03\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_sf*=4.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "======B_theta======\n",
      "B_theta=B_theta(default)*0.250=6.545E-02\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_theta*=0.250.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_theta=B_theta(default)*0.354=9.256E-02\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_theta*=0.354.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_theta=B_theta(default)*0.500=1.309E-01\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_theta*=0.500.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_theta=B_theta(default)*0.707=1.851E-01\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_theta*=0.707.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_theta=B_theta(default)*1.000=2.618E-01\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_theta*=1.000.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_theta=B_theta(default)*1.414=3.702E-01\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_theta*=1.414.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_theta=B_theta(default)*2.000=5.236E-01\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_theta*=2.000.gif\" width=\"1024\"/>"
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    {
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     "output_type": "stream",
     "text": [
      "B_theta=B_theta(default)*2.828=7.405E-01\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_theta*=2.828.gif\" width=\"1024\"/>"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_theta=B_theta(default)*4.000=1.047E+00\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_theta*=4.000.gif\" width=\"1024\"/>"
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       "<IPython.core.display.Image object>"
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     },
     "metadata": {},
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "======B_V======\n",
      "B_V=B_V(default)*0.250=5.000E-01\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_V*=0.250.gif\" width=\"1024\"/>"
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       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_V=B_V(default)*0.354=7.071E-01\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_V*=0.354.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_V=B_V(default)*0.500=1.000E+00\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_V*=0.500.gif\" width=\"1024\"/>"
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       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_V=B_V(default)*0.707=1.414E+00\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_V*=0.707.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_V=B_V(default)*1.000=2.000E+00\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_V*=1.000.gif\" width=\"1024\"/>"
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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_V=B_V(default)*1.414=2.828E+00\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"2020-06-18_caustique/2020-06-18_caustique_B_V*=1.414.gif\" width=\"1024\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B_V=B_V(default)*2.000=4.000E+00\n"
     ]
    },
    {
     "ename": "FileNotFoundError",
     "evalue": "[Errno 2] No such file or directory: '/tmp/2020-06-18_caustique/2020-06-18_caustique_B_V*=2.000.gif_frame_0.png'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mFileNotFoundError\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-10-2a39887c05c6>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m     17\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpath\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0misfile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mf'{opt.tag}/{opt.tag}_{variable}*={modul:.3f}.{mc.vext}'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     18\u001b[0m                 \u001b[0mmc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0manim_save\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mz\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mswapaxes\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34mf'{opt.tag}/{opt.tag}_{variable}*={modul:.3f}'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 19\u001b[0;31m             \u001b[0murl\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mz\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mgifname\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mgifname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     20\u001b[0m         \u001b[0mdisplay\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mImage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0murl\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mgifname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mwidth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mwidth\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/quantic/EtienneRey/2020_caustiques/caustique.py\u001b[0m in \u001b[0;36mplot\u001b[0;34m(self, z, gifname, dpi)\u001b[0m\n\u001b[1;32m     96\u001b[0m             \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpcolormesh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0medge_y\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0medge_x\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhist\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mi_frame\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvmin\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvmax\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcmap\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcm\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mBlues_r\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     97\u001b[0m             \u001b[0mfname\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34mf'/tmp/{gifname}_frame_{i_frame}.png'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 98\u001b[0;31m             \u001b[0mfig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msavefig\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdpi\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdpi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     99\u001b[0m             \u001b[0mfnames\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    100\u001b[0m             \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'all'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/usr/local/lib/python3.7/site-packages/matplotlib/figure.py\u001b[0m in \u001b[0;36msavefig\u001b[0;34m(self, fname, transparent, **kwargs)\u001b[0m\n\u001b[1;32m   2201\u001b[0m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpatch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset_visible\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mframeon\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2202\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2203\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcanvas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mprint_figure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   2204\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2205\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mframeon\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/usr/local/lib/python3.7/site-packages/matplotlib/backend_bases.py\u001b[0m in \u001b[0;36mprint_figure\u001b[0;34m(self, filename, dpi, facecolor, edgecolor, orientation, format, bbox_inches, **kwargs)\u001b[0m\n\u001b[1;32m   2103\u001b[0m                     \u001b[0morientation\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0morientation\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2104\u001b[0m                     \u001b[0mbbox_inches_restore\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0m_bbox_inches_restore\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2105\u001b[0;31m                     **kwargs)\n\u001b[0m\u001b[1;32m   2106\u001b[0m             \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2107\u001b[0m                 \u001b[0;32mif\u001b[0m \u001b[0mbbox_inches\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mrestore_bbox\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/usr/local/lib/python3.7/site-packages/matplotlib/backends/backend_agg.py\u001b[0m in \u001b[0;36mprint_png\u001b[0;34m(self, filename_or_obj, metadata, pil_kwargs, *args, **kwargs)\u001b[0m\n\u001b[1;32m    533\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    534\u001b[0m             \u001b[0mrenderer\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_renderer\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 535\u001b[0;31m             \u001b[0;32mwith\u001b[0m \u001b[0mcbook\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mopen_file_cm\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilename_or_obj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"wb\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mfh\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    536\u001b[0m                 _png.write_png(renderer._renderer, fh, self.figure.dpi,\n\u001b[1;32m    537\u001b[0m                                metadata={**default_metadata, **metadata})\n",
      "\u001b[0;32m/usr/local/Cellar/python/3.7.7/Frameworks/Python.framework/Versions/3.7/lib/python3.7/contextlib.py\u001b[0m in \u001b[0;36m__enter__\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m    110\u001b[0m         \u001b[0;32mdel\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mkwds\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfunc\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    111\u001b[0m         \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 112\u001b[0;31m             \u001b[0;32mreturn\u001b[0m \u001b[0mnext\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgen\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    113\u001b[0m         \u001b[0;32mexcept\u001b[0m \u001b[0mStopIteration\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    114\u001b[0m             \u001b[0;32mraise\u001b[0m \u001b[0mRuntimeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"generator didn't yield\"\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/usr/local/lib/python3.7/site-packages/matplotlib/cbook/__init__.py\u001b[0m in \u001b[0;36mopen_file_cm\u001b[0;34m(path_or_file, mode, encoding)\u001b[0m\n\u001b[1;32m    416\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mopen_file_cm\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpath_or_file\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmode\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"r\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mencoding\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    417\u001b[0m     \u001b[0;34mr\"\"\"Pass through file objects and context-manage `.PathLike`\\s.\"\"\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 418\u001b[0;31m     \u001b[0mfh\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mopened\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mto_filehandle\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpath_or_file\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmode\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mencoding\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    419\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0mopened\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    420\u001b[0m         \u001b[0;32mwith\u001b[0m \u001b[0mfh\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/usr/local/lib/python3.7/site-packages/matplotlib/cbook/__init__.py\u001b[0m in \u001b[0;36mto_filehandle\u001b[0;34m(fname, flag, return_opened, encoding)\u001b[0m\n\u001b[1;32m    401\u001b[0m             \u001b[0mfh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mbz2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mBZ2File\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mflag\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    402\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 403\u001b[0;31m             \u001b[0mfh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mflag\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mencoding\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mencoding\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    404\u001b[0m         \u001b[0mopened\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    405\u001b[0m     \u001b[0;32melif\u001b[0m \u001b[0mhasattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'seek'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: '/tmp/2020-06-18_caustique/2020-06-18_caustique_B_V*=2.000.gif_frame_0.png'"
     ]
    },
    {
     "data": {
      "image/png": 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oIywvgKuPdcO5NlpTcsjPb+fOO6+zLYuLUlSrkz+o0vPKMLGOrcoDDKpFiI+mTr6Srpuu02Sar4/iiEENa4LxM+8v+aelMpQBP2QTBvkVAO92zn2Fc26K4IQ/Z+75AwDfFHDovhqBQb60QdsJlot8wOqc2wmUvjMn0bdvJAwuf14DAVzUxTw4ibO9/OQRPl9U+bJ4M6MZfRN+s8915iBjUwd2eRF+u/Z4d/6ZVvHtRjKfS/zT45yYO881iSltJjtjOOMPWi1TjdIWgk6kyJpErg2zyz0aRRyNQ9g7w0/Vvc8GI0r3Z+M1WnNdlA4bMIj3fgXgrwH4eQD/FyFa9ZvOuX/knPu29ra/DeD7nHOfAvATAD7qN3m3m3W2dTH6HGHrsI6ngSl0z7Pem2kPqzVE0muId7YXNmlpdIn3lfwincNinvdfjUL5yXiW5qSLpMRLv0lNITLg/DRt3Y34EmHim9z00HHbwy6UMLUNS3iZJve5dlN8EM+lal5r/hLqZcqqZyZaKzzmJ/n9BEvcfb6E0lCfkF0TwQI23A/ivf8EgvOtv32/fP4sgG/cpK0iUIKHxgLR9xE8kJzNxXl3UWJIVWLfHenS0+54Chw+BNwS5WcXuBSi5bgZCYsneSA9O78TwtgLJ0kqQwB0hDlm15oeq1Wyyyl9NcHGOVtfwbX9120OYrbXLSWhRNaxahu+gN9OkMOXr6mZZZ+vRu2Wg908HD7ZCZo7tqXRP0PQ6m9ofzqmu4R75aTfHUx2EkePxsmHUOeNRDCetvVTPWHbYqSnKmska9Zce1vOHDY6w2f6cgkE1ktpO94Hp3u1aAMBLm8T6EpuEki9DP9Xi1AUqVqG9nsksiqNzWoIFnzqtT5N3TGvjHmqeNB5lp4p5n0Et3xuuhcSn6qZbHQztlHQADbcb38vaaQ18GAwCIHx7SyfYIh8eVG2N/siMmo/2+QfGZKm2ssvJH8hc/zN91LfSjBnt/vHxgLFehX60uI6JdqshF/wsFx0C/54T8Sj0RBsd7VI+Qwlbluar9EgqymKxGoIr0/L6jX+tjhPNWVnN2W+oo3I1LbNvgCJCgn9vW+8A4xz+QxiHT3+lsW02+96IoaC2sYZkxRU/HiaTBX2MZ4CR4+G7/GIHi/MUXWRT6LXqBf7JCHSJ1ANoQ722e2UOCPhWqcWQNivUidtcvhQmjfbUrAOseLx/HZiysg8rtuOdfYt0WuOwYIStxUoMQ8jTLqzn84j0wBFnxbKmKeHuDMhKwxnx1n6XeBy96QTGatFe/IH92SI5GKJCMFKA7VDo+kgTiiQL7yWrTjf+jNj4LUvBKm+vEh9MyKmhGuBBxLE8bSLNhqVa4+sP+NcOsQACObmaBISjCSwkTBqNeoe39nJrzTd/8QbNyrZUC3xpk53Kcr3RiALDBScaM7n+KUQjtY6PPWr1mmorD8d/wADZSbj/U8UfnlAhHGrKiADd13m4DN24Qm2VsmGQZUYgCTN9o/Sodh1nZslWTsmX6H/Myb1IQqmZ36VxlvSTqtFcF6XF21J/SREsNTMODnu9qu4sVI6821aYp/MygQUn5VgAX8v+SvWX7CawzrRvI/J3MV5l/Eyk9N121H8qaYpzcdqPxtIuAeJwvsEIkG4F4BIIGExBwB0CYlgCbXTjSFIG2GZ7gCvfC7d05gaHz6ni9YJX6rtLosx25PyDleei+0r9tdqlrPbaVfheBY2FvGUSCUiJSRr50cikn7nJ2Vz1M7JahkLahLpWBRHytz0+yj42Ca3GRcDDFU+F/UlszU15nopgKD4tXMvwCUyiE+aw7kU+WFxYV+dUl+kwk5STYLIREoorYaan+aEzQgT79f/ti/LNOrUey9tm9yG1YKDtnxLKPUy/OkJk2S+IWcWSMxk8w0sRelI3Z7x2CiVhplLeFJcMXzf1IE5S8KF0UzOxeJTccLP/K9rAuS7PlX7WeFkTT+Lut4r9x1cbu8ztl8K366ZRJHI1DxQ80ev7x6mhBSvxTOtRjlBaTRM+ywxMO/nMaf8Xgo/luZBYqIG1QgZ/ZpVe2oj8y1kFh1rySllgAIIWXZq6w7BFqJY2ViN1C5F96hRqlG7SU3ez9Ixq9oAgsW79f1cFcwzHq9k22L7qmGtQLLm8gOrQbiQo0lgEHVWS75GKZpCsISrv8U2RTJNd4AbL3YJ6fQ4HP7WGa6xW0uLrL4O/2Z7ed99z6jPEHc8Cn5me8DpzbI2aurALCzQJBF1ss5tXw+9PRGu1kV1xiYmk5XQ1kwByhEr9sEdnKWchPoFWqaiCVX6LRQ0GoFTJu0790rHrz4a+++By3XSgRS+XS3yEm07KS23JqgJNCQR+Bwl02jcOroFW937EFWZ7nVDzVnYUaR9KWLC63Sw9TcdX6b+2zGSObjvfTQJplVGqC4fn2ouOr/KMJx7UwPHL4ddi0BgrJ39br6HEpr4pAm5xqnNfAY1l1VocT3tOjoXEoWM5PGgN5t/sczKw8X7nG+Ld6vp+4pRcdkMwpfjcICnxwUTRpy/UkRC/5fAOr9Z5tm0qQxw57W0u03LOlTakxDUpLEajM6wOsml8VWjsNA0oVzVJi2rMBYgMWGUoMb0KIWiyTCMjKmJtnMQTs4/vZlXM1gGVsbM2hatp/05l06NLEX+uA76DOdXjQKT2HyIPq/+BX0x60tZE9sGWDRxOwAbMci6PentPX/eOfdZ59xvOuf+4/pGW+LRBW1qs6nHRC8yCe4LDGMWjFIYSHbragGcvJ5LfWUU6wye3kwhYL7CQP0J+5xV374Jh8Qp6MKx2NIe6FyNApFxe69lPGVOXi9FxTQwQVhehPOClxdhfkBYi4efCOYXx6sBADs3yzDUhCwFir6dRrLEIV/n21yc5mOwcyADWKbJ6MWYUTQ9eX+fqSywySvYRgh70v8swm7CX3HOPdcWKPKedwP4ewC+0Xt/7Jx7dF27+VteBc7vBMmW5SKMzRo67RtwrnF4uLRzYY/B2a0ciUPtuQrpcGefYvbT3aT54kIVzD0yK++jKeBGybSMRwaJNuQRRCfH4bPmCqJGNQ60hmPZRySaQv6Cz9RN0o6vfj5olEUbct09CP9pjg7lJXggBotMFb8DBJjNSZkBCAzMyods7wcSfWTzrrrmXGe+JhnJsffAJhpkkz3p3wfgh7z3x2G+/tW1rQ5YRTHuX4peKVHYBVAzRiNRjFjdfq1rVpXa4/UM2SLB5u05VjznKc7JOLRA66Cep+tsn4wBpDGOxon5tFJZmV59qThuMUUVlKlKYE0SIBRUzvbCtfMT4PRWEjD7V4Gdw+Qs05+b7Yfx6qvp2L5GpVQI2AigDShw7jxhMh7GJ06+9b9KG6gUOD5dJ1aO98AmDLLJnvSvAvBVzrn/5Zz7pHPuW0oNdfak64KHGxDt48msR6oXpL+qSk3MAeG33YPgeNt2OpLOlf8TprtiujQtUazyiBGf4/dqFMwFEgp3w+m4OU6GufUUk6ZOh8TZCJkutDrRVrOU8Ad0ix7JZCfHKS+leJyfpkrryU5gmNlemp91nm3bmjPRIADnSrOIvoiavxdnLU1U+fy1PxtIUfpisEK1C8feJ0Bw72qxxgDejfA23HcA+EXn3Nd672/qTdl70vceS6PqbLTxwTbeORCpbqWjIEevjWe5/TqehqiNfc5GnexvJeY8uJYnuXgfJVB8KY843vzvfV6bpYTLz/YdfmyHTOiqZCJY5rZ9DSx6BJ4bzEiOOrYnx2Grr30/C+c8GoU1aup2S7EIhXoVvgO5FqwmubTPcFyJWYx83Tmn+UkqArUMp8+q4GhqoFnmfVFznN4sr3M+qrWwyZ70FwE8571feu9/D8BvIzDMZlCq8QEScoB+OzZqD2ofednnaJw232QI6vncaVsW6ejRvAaq5L8wXO19bjtrfkfvJwN7n967qHVfauqRGHYOumaimhvERSkcy+cirpY5fm0o9PilsEdmupNCv5NpMFej2VilccewsktBkU7OQaR9Cd8dDVB1/ZJYamPa0N+iv9F0+6dWHxKGbLL3SoJN9qT/LIL2gHPuOoLJ9bkN2g5gy6o54MV5Ww7Rg8z4uSWmK9eTmuYLI7m/xPoXto0hOHg4BA/6GBnI1Xk1CtKOzGlDpYymuCqZXNY0KuVVmBDUF4LaKJbVbqXPbD8GDQxzxc9V2CMzngbtOdsNfZ+KYZAxWDt+Hn6hBagWP9ZPsCavMrMF74PQocZWf5VBkbg5TM0q6Z/trIG1DLLhnvSfB3DDOfdZAL8A4O9472+s7Z1gJbwS8OlxspVtCLc44BYZY3k3d8kuHWqDQKd50Z5sMp7k4+OY+J8mkGoMahUgSWEeacOjcVQLZnOxOY22L74HfrqbByrsgQulZ62E1ShhHz5uvQocv4TR1UdCf7uHwa9j2Qrb5jsgOXYr+LJckhBrX2a7ZHLpGLnZSudrtzrr3IFU8mLb6gG3ydkK9wOq/cf87D0f7l4omS4aWlWkKTz09kCY5ycpf1BKnNm2+6TUzkH+umkS99mtvA3mVtZlmPeOUlkH/RF11jvMUAgg2DyHakrWILGtofmpOcU94X3jVyLmdtgn3oO3vftpvPTrvxpCwpYp6NNYp5jjtjAUBi5FMekrKUPREbf4iX2099gdqS1+5r/28V/13j9ju7/896QTSvmOqGobcdYKCNby6clOG5kQtWphSCiQMZYX+bN6CB0Js3RoRAn4qjGWkZCIs/j+gE0O5MSmv/NlPeNpKlFRPNHkKLZTyGsoflnuwRePEr74W3hpdQFMdjB9/GksvvSH7TZjMXEy4iwwSglK91ihoMzhXFoXe9hcqR8b0nUVhjZLAQ8SgwzlO4Awsdl+SGypfep9cKAZatw/CqcKso0S4Wk4VAlkMkuEUNJUrgr+yO1Xh8/fsnD4cBjf6a1ca2Sml3mhvT2txAsjRee1yfFAbUAntiRYtF212dVU43XVxIqPagSc3QHqJRYMXIwmwOEjoW/O0zfIrHjvEQmyT7MRN/o9zrs1o0btGWj2tXm0MCY7KbDBZ4F0In8czxqtjweJQUpgpR73ejc14pE21x5P+5n3r+WnkmjySQmJ2XX+n+0lX8Em12hG0bfYwG7tgG+C6Veyi30TmJ4Mp2dFaVJM8WDnwHbY/M5BLikzgjO5l5194HQF2PeU7x6EAkmLi/E0+WXMm9Dhf/2LicFm7ekrPG/XG4HD9SvhSj8rk7D6IAYXTGiXfg59z8lOwiufLcGAVntwGKRjWxakCPdT7x2FyR5cT3H4i/NQKqEJKyA3NYCwMKNx2kvum6Q1orPoUrgWyM2r1SIsPh29IZjsBOa7+Yo4qmZeVmqqZqLf06lk7ZF8bIO789BqptJJMISL9tAI5i1Gk/A8mYPzBgLjaXmM7dcD8Ktk+iiBK87jHKsuQ+g81YwEEoFrxGwoUkfByYJTrnPHWunXJJfLIFnsvelKDHsv4fx2WKzJLEmT+Z2u2WCf5cFpXKQSkolUgh2T98B0tp5BJjtJkmdJLcMQJT9DNQUjYozWAHkb1r63BMeSGEpQb+Y0P2nfR49AwHzLrsUd5xIltRlnJwppiK5e5Qd5x0jeCh0/joKyJPE7+ZqeIIbCahH2+Fj/6IE3sTJn0Sy6XWwLD78D8B7V7iGaF/9fkjjeh8VktIkmgTWhyJSMQnXOhipoMC68zXhbYJLwQrbcMrLDNuM4DB4sPogH1WLRxm6/ezNOizs9EikmJkVTjSeAm+X730l4FCpxD3lBc/RFzLwPvpPNadRNXrLOo5aYVF2ZtdD+SjiyfXXCxS2+aaKzrw0Y5fI1iIJKpV5N0iKgXmG8t4/VS7+XawyaSVSrTK7p83TyKNU6yG66yLPXp7vlIjdlSLXRtY11kstKYMUJiYhRsGL+qCe0qrkJlqUDwWQ9fjkxDdvReejc+6AYgfT5Z+sHMh/EwAL9BrvfpdNXT2RMGYXlK9UonFajWmkyy+u/euDB8UGArl2udmgsQ6iw/95nsFwssXjhU8F84MarapSO5lwgd+Zog5bUtkrMGPURM0KBRLZ7pcsgTAKqzZ8RhcyzLx9gQ929uHG5FhhNEJiqKvdngQy2s5/e7MT7pq3pSjO05DcNRR3VgbaONJDyKhRe/D1mwF3yvyukYZkAAB5HSURBVMgs4cHuPICu7xLH0+JD15zz5NrN9stttnCJDGLi9X3SIjJGqzkeejucc4E5gIDQ3Uk6nW+5ACqXNMly3rVxbX8d4i0wh8begbL2mO7mRBs1yHpsZH2sk9KlUgwSQSyYLMxZw7tAkqyn7b6TCdoSkVWX6Pqcac6zrwrAVcmMpNbShK+dB/FlmUUFj7Y9ZG2oNlktQpQTSJvQXNXWZPVrkP4r9xuYTebRM1re3Plrr8/2cOUdT+Lkdz4Tjt+koz4/DTHu6W6QfkAqNeljjs6CDhBlRhzt4th2GVmLxYZJ43Wk/zooSvyCICnZ/rFgspHDGASPbN+5lDOanybNyxBvzI/0RN10LJHITd6C+R1GtS7OyszRB75JjMIq6moU1n1dEWsHR23IuV4Ch9fziOnA2l8egwBhYOch4ZS2s1bdPwBwFR5935/G7c//bqgoXbZEwGzvxVnIgawWoUp1PM4JVNsq1XMpovqCBn1w8FA5lBo1yBrfymqqPvMrfhbCyqJgxgdYzpMPwV2KNG/GU+DGH7Y2/yr5NdzgVY2C+bF7JceLjkdNUyVY+hIMCduqhCHmoM/Cz9ovk6Dzk9bMPezfN1Rqj8zG1y5ceXRYA+GyfRC1F89uBULfu5qSUNUoHtR85cmn8Opv/p+02PVpHllhwu30VnhmnWTic+ukmH1OGWe2n47o0TYtQ9joS2yP/RuGKIVureTumCbGzs+ke5NegT0ah8jU3lHyM0aTlJWO0bYqmCcMSPClQnYs3JtBbcFX1llN0cFlyXE30Pc8x3B+J2mVvaMkEHT+2g6A6JfUq5Aa2DlIwqMAG2mQTQ5taO/7Duecd851ir66PbvuxOsVcHqM6ok/jtE7vzpkyUcTXHv6KzGejAPxn98JW2ftma76+fZr6bR0V+hHwfo4nUkZTQIk82r/KGdSW8ZRGlvWdp8UNfb+Js+rY9xHlDFRV6ekajUKpey6HqphOVe+GOjK9TBvMgR3WS7nSbITHyUGLs1Bx6+/lZhHtUEsiGwFLA/aO7iWTLsSk1FgeZ80Sg+sZRA5tOFbAbwXwEecc+8t3HcI4G8C+OV1bYZBInDuQXuU/8FDqN71PuDhJ9CcHKOen+Prv/nrMLlyDSe3TvD6p583poVI2FKi7fZr3aw670mDzomqdE8RKRrNMYxhE5R9JlPfmPS3Uhg8fjYag7+VBIIy+c4+sHcYNMf57VTjNt0FKvOa6OgbVvkeitl+8FN4TrDdc2PHpPVnCvTVOiaVXQ8jCHSeim/6LHdeTzskjx7tvoZC71envwCbaJBNDm0AgH8M4J8AmBeuFYD27in2vuYbgJ19NK9+AZifBY4+eR3P/+/fxnI+x/KLn0N0Aq1ND3SZhMDsqdUkRYIUZ07/d4bd/s7q2UxiDkWfDFNpv1wk64v0tfFGgM9MZm0UqQa+9AdpzECI6pwcB9N2MgtMNJ4FX4//J+3B2We3QxnKxXnQ5q4KQk5fMloK69Jp1+CLfrcmIUEDHsSR+j4Rf4YmmOM6fim0QX+qJDDv0klfe2iDc+79AJ703v/XoYY6hzZcfQzYu4Kzz/9WQPi4PSXk8DowmaE5uRlMAYZqNZEVpU+JSVqk3XgxHf4WHfVSjkEXyNj8pSgOSzeaOj/ZRJ+xoeIsANA3BuvkrzGviAv7W8RHlfZwk5H3ruRS9+Dh1odq2zm/k84CWy5w7T1fE0yz8zvAnRu55OY6LM5DMebOQTjI4eEnjLbv0RL6X+ejJp7V+FmVrhE26sxnUSofzL+zW8ksu3I9/A0c+QPcAyfdOVcB+GcAPrru3uzQhqN3+lAhyyRODTQrVI99BZq6jTbsHOY1U+VGEWPdmlEnYplo4gFtqBAdNaBLlM4hkxslAt05DNI2Zn4lGx8ZCZuZVxasZize48qfFVj1bEu+LWNNpt0987xvNMHxF19Or31TAWXnVTcpGbu8CMwyP0nXySS+QXZOl/2uY+M47PprpTOQCyHmXWj2liKSTR1McCBoFR7DWoBNNMi6QxsOAXwNgP/pnPs8gA8AeG6to14v22rX3SDVZrvA1cfR3LkBnN9Gde0x4KXf6XdiO3/tAtjjZIAg/Q4fykORfYTVx4wktMksvQmrqQOB2WhVn4O+iW+zLqy8LurGbD4PLLDz0j0nzoUcCFC2xetlMFE0XJz5FD7/o6DwTfg83Q0ain2VAiEaydT7FNaZmxkNkGlMDqoUCdy7mubYA5swyOChDd77W9776977p733TwP4JIBv894/v7blm6+0B5O5wMlAkM477dGX+0fJhOFf3w4+XqN6BXKEvPy76YU2ClHiD0S71Cya7uXmGBnSMkUpCbXOR9kgcZXaKjAJK2St41rsz4VtypkkFh+NJu1qkTSHMl3vOggTtT5mTOz1RrLegBDhnIZwZJnF4nXvKD9roG+fCDZgkA0PbXjjEP2IJiT4Lk7hpjvRtm1eezEg9cr1sCPPhvpspANIxOGbvDyciIkHBFC6GJt9CFwVkEpzhP0s5l2pr9KqpA30Wun3IShFqnTfyCZhY7ajZ14pTkncaqLpfaWxWo3Oe8lko0nwT2zuQ32vLGDBcLlYBbp1eNMwss5990qqsqZG5OknPbCRD+K9/wSAT5jfvr/n3g9u0iZYoOQ98NDjwOkt+Da6sv+V78HpzVeAegGsVuGQsse+oo2enNkO02cimJPWLbRAcNqvva01BdQ21wiTlGcTKP0mO0Hq8BkSU6m4se8zv8cxFzTGGzGv6GtYE8nG/vmsnnYSTwApOLr6u/U5eiN8ps8MN60zz1J9JhJ1fPazHgAB5AdPl0pFODe1Iuh/UrhpHkXH2QNfRtzwHsPBtbC/WaTP6Rc+h+qRJwNjNO0BCndeD5pkthf8Ce4hKIFvwgK8zZxd56pQsDaUGCRibTnKeBoOpcvaU2lmmGDIbLBapXN9jX9EqapBiVIyLYvMGR+EZizHbn250u9Av/9hQZ1kMnBM7rmgTfryHrp1weY8tF3eq5pItYxzITRdjdIxsUDXRLvLMO/9g3qZHEp11lYrNDdfCb9VrZJr6hB+nO0FswZow4rXUnsW0V/6fbMTD+3JixptEh/EmhRKqPrWqcwEaMoJybuBAYkG50RrDBCojjVqmCbhjuHeosYwv6lmsDkL/d9pp2dcLFyc7qaDsPX+0SSN21YH6Hf+FrVU+52BCiC9wMcespEFVfrxd7kMUo3SQQi692B1ERbSljc3dfh9NAmZ3HoZTB6WQFiJzpfEqFlhCV8dcFvuEEOhO/n5T5Yg9PTHPun/RqCP2Vg+owRvJWEpl8I26RNUo1THtM52tzZ/n91vzbESHqzjTHwyQGO1BJ+h36hMo2vF4MFkliwLPRRPTTHN6tv5FOByGeTK9XanV49dGDftmInVy5BY3Gk3u9SrsOCTndAmwfu2lGIvIYHSCcjNLO+TZuFvZKzZrokM+Zwg9JT0TZzFISgROV9FpjgYKk+xOQLNNjc13FNfOzCfJv+tFBTo+H2+O2arRawpqCbcxam8t53jL5hWnI+Or6nbYsr91vpYJGGrycySCUxm09C3gcvfUahqTh0yv0qqM6pafbCdNG3xxTng68Aos72AAE1Uzfbzd4N3HGPXJZKmDgxnXyWmROGqNhdiiIYZ2/ibcdKtA68ErRATnEiLak8W7NNssb9c0nv7Zq9SeNlqDsWLjrPEHKVqhGKFgsyVzjSQ5qtMobVgxO1kJr+ZZyxk8zNmtVoYBi5Xgywl+USTSBdEJYdKDP3MMCKrShm6I8KpfeplYBwWsmWOaA8RMApmnUkrHfmud4IlvmKYtck/A/ki0rfJdig2og1UMoodrtBp3wXfg+/a4G9ZvwXnu1TCYvuwoBoijr0QGrb3AynSZRlDhRLfQsY/4oNjtGNhe28w53K5DHJ6HKQvYNTr0J8QBpFTL4MGqUatqm4S0XLDT1O3+ZQmmWbsN36WBbv6GOJ5rza/oAvf1IHRS35BR2IK2CABF58asXTMaskPUC1StPsbZILAuTDe3cP0nBUS9nk1UUq+j+KRDNupoyqYfkrUHAvXk6FZZRzu3dCjZoumoRkbfZiID/mjVu6By2MQXYtieYGR1HYBi4vpg8QfTQIivQ9BgN0rwCNPpcTYYh5Mrj7EHD0aqlY1ymP/6+c+ydV3f6k9Rqc6UrUgzTUgYJm3lITk/UePhLySb4IPZ3FYYjD1y6xTr4xVOl/AzleFBU0bJVwVFsyVjMZh5994ml6mmmn+gqls8avrbNeoT7C0cHkMwjHdfi13cksTUCgREH9XguUC1Ku4KzEWLjZ1iJRFs0yePWzfBWLNMB1LiTl3rxTGak2eAoPTjBhNZF9Fj9liny2ZQFZ7KcOo2dOsWu1qTFprAvZpDEIMvQ5oy1IQJsvhNPnY+DxfPccyfLUedI6WMflZhY/VYPb+Hrj8RCGlvHWerQnBa0UpLVJWzS/fhHqj8zuh5mu2J4vgk5/CNncOkpaxNrSOqQQzCfVawu37DuQvp+R/a0aVntXrfYyoZsTj70qmICOE3Lcf+6hyglPcxuuuy3glUH+Rz2i+IoZrxWFWbcQTYmji8tA3hnFpkuu4O3Pv0XaK0zVh+QfDxFq0IVsm3Er28Donj6AqlsdtjsZBYtZ1vkCq5g8fTkmlXoIrEG5pbKVkliVsnlXb2Y0nUnjIpLRlJ9qnjhUI1QonrwetqfO7OA/XSlI5/ok/kYWGN/SztGwkk+iu/MzuYV5Xpr4mGXu2X/YpVGBo34p3ixutMijARgyybk+6c+5vOec+65z7tHPuvzvnnlrfKPJJHL8cmIQRmTixBpmk6ajvPmfRh/YW86AVmJE/fCh/pl6FUG5W9i1aRtstJc34XWvEotR0+Xfez0MCbCbbwuA100cJnAv+lG/SpqhoYlHT+i6x6nUNnthxWdve+kpWG6o2sfkMoK2XuugeWEfgmPT1a6U52+y6ghasqibrgbUMsuGe9F8H8Iz3/k8C+BkA/3RduwByaVaNgj/C6EocQMHEGrKJgZY5DlKlrfdBg2h7ZLzZfmCO2W63TV1U/U3/hvwTa1qNxm1NlxznuS7KNTRXxV9Jsz36dMDBxXl+SDTvpS/20NtTn9bkUULvaEaJRFEba9lNJuhknBqa5X36pivLkBEnImRoHuvr+RSsRtHfS5qsBzbRIGv3pHvvf8F7TxH6SYRNVcPgkU+ASLv1aojV89AzXgeMGVP1E5Fz6RXHJAqGDy/OQ0Uv38JKs2NpcjDaL9vsM2E4Dx5jmUlLl4iJ49Axq58Q+y0wS5/TbDWeb1KN2s1X0nZlHYvOramDgFgneDRypp8VIuEbe3+oXR70XYsAK86/YAZpqUpkrAE/Q5nbrmUPbMIga/ekG/heAD9XupDtSa/1VVgun8itV4MZouaWJaYOU8hUjh4Nh8f12cnOhVoujX74JmzQ4vfyBLrEH5/3yUS0iOfhZgMLkc1xna9VEhQ0V69cT2aISumMeI3Wa+qgRTImXU88GQMofvjZjtEC8cJyor4oU8m84+embktVdvI+O+Fvw8x2LXvgnjrpzrnvAvAMgB8sXffeP+u9f8Z7/4wb76aBlhbhjoR/yShDmVAi98r1thCvIClJfPUqmB7Tnfy+xTxEuvhdkah/faUJzE4nhOSOuI41u89ITVsnVZqvnTsjPIzC0aG1fo4lOmrZs9vBvFWtaE0Q3qv3MERdwtMQaDSK/+2zJRPJRs94D19twTL+TgbezMv20QObMMi6PeltP+6bAfx9hO22a16gAXQOdC4h6Px2WvxOhyasR+bRVytb5xgIoc16GZhjMTdbegdMKv29NI6mDkcW8X6aiKrF7DNx7kKstg91avvs872jVhKvck0R2/eJuPk9y4u0/xnIKJmaNNOsX9EXndLv9rifsVRPKN5LGkD9IA0VZ3kquWclVQLWX4zarco/36WJNbgnPYzDvQ/Av0Vgjlc3aBNQOlNEKjKBdBbrbL97TSNcvglmwsrU/evk96+2mWSfIkneh33mbK+pg6k1aFo03evVKAUCpuLwkwhKPsYQ87F2KPZnGM03wc9gvZi1/SPxCaPYsn8dH320R58uE7o9i6qkYXROmeYx47IHY3NdB0o+Os9YvKl1sVq0JSmTnNlVUOjnuzGxNtyT/oMADgD8tHPuN5xzz/U0Jw3HDtL/XgRUoW6LJ6GUElbT3bChSicf+2qCzzFvXw+9Wnb3n+gmnYUJI/Y5pWwbCM9NZm05xyKX2KX7rXbbxOYHwjhn++l11+tqqTi2kg9iGahehrOvHnmqGyGzbZUIj/gs3UtgAtD6ElGrURtJDkaZzuKUa6Lz42fngsnF84NLGmWNb3hP9qR77795k3YGwQ40+1wn5JzdCipUF91VwTG/c6NlGCPh96+m0+C5CPWqPYG8rdZ1SEwEhLCvnnaRhT2FMLhAlOT7V8MphRxXFlQQ6TnEdJwD72N/8ahPOSusE4AoONpZu+jeSyKmljg/CZEhvkJO29ITY0qalITtfb6H3DehTW5kivVrFg/Gt1Dc6xxiZG6U35MFcKqUgbfvSN8QLi+TbunCRhP61LhzwQlfnKdaHedaf6VHCpcyxcuLNpIlhLZaBgJv6q6p1hl/OyaahbHGa5EzB9vmvSohuaC2XatFdw/Tq6qtZhpy3BWPetiaLaVRolstAmPsHuS2emxXNIVKee2LOFVJnjnNjZjJPWbmkNOueLf4sLiL+9pNCNj6mz3wYJSalFR1H9BRc1UwqepVyGvYUg8AMXRrX7pJJJIQ2HdTh4xzdkKjLJhFpNZxMVJ1cZYnr0o1S6X3kxDUfOHLYvhSHBKcBRu6zZhDknmqBXjNPs+xnZ+Ek2RiOwVGsWMlWOdchRCfLeFT177kj1pGIS6ywx0MSceI3jIdO8Q2NjBrL49BCCUJNCRF7GIq0djwK6t5bR0R225kcbXP/avhs56cYhdJJbDugGtq4PqTXUkWx26JpSTxWgnL147p2DVTTW1AiGaHlnE0XZxq/kOjOKph6mVIND7+roLWspE81/U1vE+mIBldE5ZAPk7LrJmvZAhYmUFNX87Jjo1Qr9pTbYwZ90BqEAvqdGviSyWJgjpl89PwtzgPvoNKLi5eJ0LkQtRp1YZ8gYS4i9ZWnZjwsi5E3MxjzKSmTiX8Gp7M2inkJfT7dFde9UxNZghIhYIt7SCxlgi5ZNr05XXqVZjL0SN5H2paKZ5VKnPdOObxrNt+SRvSQijhhm2VCDvTjlplYZiH7ypUOnsgNYiunUowJfyMKIzpxQW5+lhuDp22L1KZ7aVwrT1UQUOWvglVviyFJ7C6GBB/oSWA2V45EkOol4GorLbgGONnYxZ63+Y0xNEsEUGcf5UHK6gRrGmjz5ZMEF5X/4L3Ly9CgOPgoVxjK2HZELD1UbzPD20rSXCrSdVss76HvS+acz1hcaWdpg5j2TlI/T6we9I1WcXvBKvWgbwYTm17G050LmSGuT1zNMoXhW9PjWNoHfS9Ky2yXTruktdJBLtXkj8Qx2o0QlMHG/7qY4aoCz4JCb0atXkaiVKpY+kb2TtiflNiVILXfuNzhhDj8+LIa1vOtfsyloIHYV7FuWp+u242ImcP6GMb+oxCyQ+yzwBdoZWtezuH1SIwyWw/F54FuEQnXexjOrvqXGp0SBdBs8V8iY21W9n24jyYXuNpYBJmijUkqGbMRXtEUGk/OIB4jhdQUONGKtbLdDhalKQyPnWmmzowM4MJHJc1YzSMqQ54lhkWJhnJoXuqDfUA7yFHlf1yDa4+1jLlJJ+vhrI7bRRIrOifieMembzHFI1+Y0EbqubRZ3hNGZUhYJanFODyGERf/qhq3UYirAOt33nOLpBLZrsAJ8eB+CfT3AQh4ShD8KWWDB+rqp4WSuLV4eUYSbT1qlufpTYxF3DnIDFPNC+NiaSZ5PE0ZzJrtnWYypgyOm8+o585NhUe9TJo5YOHTaSsSgxNPNjfspMgTV6oFLjIQuTGPFJc2AAF58iIItfVhsVJM2zjbt5ReN+gaYK0tv4GkNuQQFdtUwqe3ZbfxCanZGUJO589OQ5SY7aH7H18BDXFKP3V8VUppOMr2bA0w1aLsEmL4+JOQr6larqb3vOnoHPRyJZqF723BKUokBKb+nz8bvNF+oz3gZgOr3cJN/OVmpxhRmZrrxJzxsBVLjRV86mZazWM9X/iZ2E+9U/439JZAS7RB2knWgqlAkm6KAPppK4/KYWJhmgpQVcXuaNHQju7Ha7NpO9qjLi7jmUmTR2IeecwbehRW1sXMI67yRfV+6C9eGg2w59NnQREJ86vfo+RgHZBXZWfbRwjWDYAYJzmrA2XiE/HHT8bolqcBSZhfzoWzsP6DKo1VLtpvxyLHpRn/VMdT8dPGQjqRFpSq8V37zNwuU66FybRSanKV2IDwrXdK0EbxHYM0VAa87XA6tSq33Fy3J4NXAXza9SWbmtJQlOnN0rt7OeHLfM6x6mERe3km3S4nTI7t5daU0EJwOYWFG9AbiZq37EdY84poRPUz9A+1bwkztTsujgNc9CX42QS3+e40JyIHX+J6e1c7fzVN1J8lfCYMWaT+3elULPARgyywZ70mXPuJ9vrv+yce3qTduNgdSO+ToL3xPtbZO0fdfc6ZBEikZLTWb7YlMwaoVpdhPKVnYNkLwMSfWkJpG4JgCe9Z4EEldBNd1xN3R6wXeWaQ8cREWocfs7dOpmWATTer2aRXmP7JbOQezvYhkYZOUYWdWqYm3toSsGNapRXMmgETE1nDWDod3sthrBlTGpdsM+SSaW4VjNvANYyyIZ70r8XwLH3/o8B+OcIr4N+Y8DjQ+PIxGnMklQuhFCBpG1KeQP+Z9LP+jhxgqJhTo4DAfC09o4DThNj3h7dP5ZxVeV+tC8+RydSbX8dl9UcKuWysgplCHF6s8CGETCZ6Wrs9Zjj0JCvywlRa824bnxpp5q42q7ihczZ1LkpZdcmMxGFBqilLHPxPiX+qMVl3tqezrcHNtEgm7wn/dsB/If2888A+Cbn1rAmJ6tE0tStJqlyolHJYt+rVyIAhYvThMwYpxfpoovpqvYd7cdpEdVJX87zA8xclXInsQ2XE4OaL/UqaL8ovSoj7Xq0ghJDZkaIz2KJrGO6+YS3kq1u39OR/QnjKmPaa3tHeb+6HryPTKF45Xe7NppzUVB6sWsa8S7+KwMipYoMrlEPbMIgm+xJj/e0+0duAXh4bcsZQnyK+jCMqQjmxM5P5JDrJkcM77MLO93p3gd0i9xGo3Sq4skxcOd1TN75nlwSnd9p26OGOgvjtZus1EwiMeweAIvW3NCAg0reju/l8/+ZjS9EYHGqQkHbVsJUYlTfQ/Gta2MdfJXgXDutdSJoEEHbU+FQ8gVs0ILrrThSHCr+1J9VS0AZeCCDTnhTX3/gnPsYgI+1Xy/mv/ovPvNm9v/lwPyXNrrtOoDX7u9I3jT4ozQXYPP5PFX6cRMG2WRPOu950Tk3BnAE4IZtyHv/LIBnAcA597z3fvhd6m8R2M7lwYW7nc8mJtbaPent97/Yfv5OAP/D+wHDbgtbeIvAWg3ivV8557gnfQTgR7gnHcDz3vvnAPx7AD/unHsBwOsITLSFLbzl4V7tSZ8D+HNvsO9n3+D9DzJs5/Lgwl3Nx20toS1soR8ut9RkC1t4wOG+M8h9K1O5BNhgLh91zn2pPRvsN5xzf+kyxrkJOOd+xDn3qnOuGGp3AT7ezvXTzrn3v9lj3BQ2mMsHnXO3ZF2+v3RfEbz39+0Pwan/XQBfCWAK4FMA3mvu+SsAfrj9/GEAP3k/x3Sf5/JRAP/qsse64Xz+DID3A/hMz/UPIRxC7gB8AMAvX/aY72IuHwTwX76ctu+3Brl/ZSpvPmwyl7cMeO9/ESHi2AffDuDHfIBPArjqnHvbmzO6NwYbzOXLhvvNIPevTOXNh01fA/EdrUnyM865JwvX3yrwRl978aDDNzjnPuWc+znn3J/Y9KGtk35v4T8DeNqHN239NyTNuIXLhV8D8JT3/k8B+JcAfnbTB+83g7yRMhUMlak8ALB2Lt77Gz69+uHfAfi6N2ls9wM2eu3FWwG897e99yft508AmDjnrm/y7P1mkD9KZSqbvAZCbfRvQzgN/60KzwH47jaa9QEAt7z3L132oL4ccM49Tr/WOff1CHS/kRC+r9W8/o9QmcqGc/kb7SshVghz+eilDXgNOOd+AiG6c9059yKAHwAwAQDv/Q8jVE58CMALAM4AfM/ljHQ9bDCX7wTwl51zKwDnAD68qRDeZtK3sIUB2DrpW9jCAGwZZAtbGIAtg2xhCwOwZZAtbGEAtgyyhS0MwJZBtrCFAdgyyBa2MABbBtnCFgbg/wMxoBFS0vx9NgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 163.68x102.24 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "opt = init()\n",
    "\n",
    "for variable in ['sf_0', 'B_sf', 'B_theta', 'B_V', 'V_X', 'V_Y']:\n",
    "    print(f'======{variable}======')\n",
    "    for modul in np.logspace(-1, 1, N_scan, base=base):\n",
    "        opt = init()\n",
    "        opt.tag = tag\n",
    "        opt.bin_dens = 6\n",
    "\n",
    "        c = Caustique(opt)\n",
    "        c.d[variable] *= modul\n",
    "\n",
    "        print(f'{variable}={variable}(default)*{modul:.3f}={c.d[variable]:.3E}')\n",
    "        gifname = f'{opt.tag}/{opt.tag}_{variable}*={modul:.3f}.gif'\n",
    "        if not os.path.isfile(gifname):\n",
    "            z = c.wave()\n",
    "            if not os.path.isfile(f'{opt.tag}/{opt.tag}_{variable}*={modul:.3f}.{mc.vext}'): \n",
    "                mc.anim_save(z.swapaxes(0, 1), f'{opt.tag}/{opt.tag}_{variable}*={modul:.3f}')\n",
    "            url=c.plot(z, gifname=gifname)\n",
    "        display(Image(url=gifname, width=width))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}