{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 5. How to Log and Visualize Simulations\n",
    "\n",
    "Here we explain how to take a log of simulation results and how to visualize it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import math\n",
    "from ecell4.prelude import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.1. Logging Simulations with Observers\n",
    "\n",
    "E-Cell4 provides special classes for logging, named `Observer`. `Observer` class is given when you call the `run` function of `Simulator`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_simulator(f=gillespie.Factory()):\n",
    "    m = NetworkModel()\n",
    "    A, B, C = Species('A', 0.005, 1), Species('B', 0.005, 1), Species('C', 0.005, 1)\n",
    "    m.add_species_attribute(A)\n",
    "    m.add_species_attribute(B)\n",
    "    m.add_species_attribute(C)\n",
    "    m.add_reaction_rule(create_binding_reaction_rule(A, B, C, 0.01))\n",
    "    m.add_reaction_rule(create_unbinding_reaction_rule(C, A, B, 0.3))\n",
    "    \n",
    "    w = f.world()\n",
    "    w.bind_to(m)\n",
    "    w.add_molecules(C, 60)\n",
    "    \n",
    "    sim = f.simulator(w)\n",
    "    sim.initialize()\n",
    "    return sim"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One of most popular `Observer` is `FixedIntervalNumberObserver`, which logs the number of molecules with the given time interval. `FixedIntervalNumberObserver` requires an interval and a list of serials of `Species` for logging."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "obs1 = FixedIntervalNumberObserver(0.1, ['A', 'B', 'C'])\n",
    "sim = create_simulator()\n",
    "sim.run(1.0, obs1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`data` function of `FixedIntervalNumberObserver` returns the data logged."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.0, 0.0, 0.0, 60.0], [0.1, 6.0, 6.0, 54.0], [0.2, 7.0, 7.0, 53.0], [0.30000000000000004, 10.0, 10.0, 50.0], [0.4, 13.0, 13.0, 47.0], [0.5, 13.0, 13.0, 47.0], [0.6000000000000001, 13.0, 13.0, 47.0], [0.7000000000000001, 14.0, 14.0, 46.0], [0.8, 14.0, 14.0, 46.0], [0.9, 15.0, 15.0, 45.0], [1.0, 16.0, 16.0, 44.0]]\n"
     ]
    }
   ],
   "source": [
    "print(obs1.data())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`targets()` returns a list of `Species`, which you specified as an argument of the constructor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['A', 'B', 'C']\n"
     ]
    }
   ],
   "source": [
    "print([sp.serial() for sp in obs1.targets()])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`NumberObserver` logs the number of molecules after every steps when a reaction occurs. This observer is useful to log all reactions, but not available for `ode`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.0, 0.0, 0.0, 60.0], [0.0046880772084985575, 1.0, 1.0, 59.0], [0.02940433389289125, 2.0, 2.0, 58.0], [0.0424566850969309, 3.0, 3.0, 57.0], [0.056679020913974754, 4.0, 4.0, 56.0], [0.06363561718447702, 5.0, 5.0, 55.0], [0.06628282436583607, 6.0, 6.0, 54.0], [0.14965843277576601, 7.0, 7.0, 53.0], [0.17585986686274913, 8.0, 8.0, 52.0], [0.34117216604734923, 9.0, 9.0, 51.0], [0.3434039354567801, 10.0, 10.0, 50.0], [0.3964706785644159, 11.0, 11.0, 49.0], [0.4299973974400797, 10.0, 10.0, 50.0], [0.4754407324998785, 11.0, 11.0, 49.0], [0.4924264239728917, 12.0, 12.0, 48.0], [0.5615452208142621, 13.0, 13.0, 47.0], [0.5799521557799048, 14.0, 14.0, 46.0], [0.5999770573122667, 13.0, 13.0, 47.0], [0.617181962644011, 14.0, 14.0, 46.0], [0.771123487556924, 15.0, 15.0, 45.0], [0.8527649352650291, 14.0, 14.0, 46.0], [1.0, 14.0, 14.0, 46.0]]\n"
     ]
    }
   ],
   "source": [
    "obs1 = NumberObserver(['A', 'B', 'C'])\n",
    "sim = create_simulator()\n",
    "sim.run(1.0, obs1)\n",
    "print(obs1.data())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`TimingNumberObserver` allows you to give the times for logging as an argument of its constructor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.0, 0.0, 0.0, 60.0], [0.1, 6.0, 6.0, 54.0], [0.2, 7.0, 7.0, 53.0], [0.5, 12.0, 12.0, 48.0], [1.0, 17.0, 17.0, 43.0]]\n"
     ]
    }
   ],
   "source": [
    "obs1 = TimingNumberObserver([0.0, 0.1, 0.2, 0.5, 1.0], ['A', 'B', 'C'])\n",
    "sim = create_simulator()\n",
    "sim.run(1.0, obs1)\n",
    "print(obs1.data())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`run` function accepts multile `Observer`s at once."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.0, 60.0], [0.0046880772084985575, 59.0], [0.02940433389289125, 58.0], [0.0424566850969309, 57.0], [0.056679020913974754, 56.0], [0.06363561718447702, 55.0], [0.06628282436583607, 54.0], [0.12593245801241867, 53.0], [0.2021936427813259, 52.0], [0.2544761483060903, 51.0], [0.28758664472519707, 50.0], [0.3350787275656141, 49.0], [0.36976606582502675, 48.0], [0.3732460193898695, 47.0], [0.5040022833539709, 46.0], [0.5763738195435169, 47.0], [0.6425014653528736, 46.0], [0.809322179639534, 45.0], [0.8095585219320289, 44.0], [0.8536384048043809, 45.0], [0.997992921530679, 44.0], [1.0, 44.0]]\n",
      "[[0.0, 0.0, 0.0], [0.1, 6.0, 6.0], [0.2, 7.0, 7.0], [0.30000000000000004, 10.0, 10.0], [0.4, 13.0, 13.0], [0.5, 13.0, 13.0], [0.6000000000000001, 13.0, 13.0], [0.7000000000000001, 14.0, 14.0], [0.8, 14.0, 14.0], [0.9, 15.0, 15.0], [1.0, 16.0, 16.0]]\n"
     ]
    }
   ],
   "source": [
    "obs1 = NumberObserver(['C'])\n",
    "obs2 = FixedIntervalNumberObserver(0.1, ['A', 'B'])\n",
    "sim = create_simulator()\n",
    "sim.run(1.0, [obs1, obs2])\n",
    "print(obs1.data())\n",
    "print(obs2.data())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`FixedIntervalHDF5Observedr` logs the whole data in a `World` to an output file with the fixed interval. Its second argument is a prefix for output filenames. `filename()` returns the name of a file scheduled to be saved next. At most one format string like `%02d` is allowed to use a step count in the file name. When you do not use the format string, it overwrites the latest data to the file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "test00.h5\n",
      "test06.h5\n"
     ]
    }
   ],
   "source": [
    "obs1 = FixedIntervalHDF5Observer(0.2, 'test%02d.h5')\n",
    "print(obs1.filename())\n",
    "sim = create_simulator()\n",
    "sim.run(1.0, obs1) # Now you have steped 5 (1.0/0.2) times\n",
    "print(obs1.filename())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0 46\n"
     ]
    }
   ],
   "source": [
    "w = load_world('test05.h5')\n",
    "print(w.t(), w.num_molecules(Species('C')))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The usage of `FixedIntervalCSVObserver` is almost same with that of `FixedIntervalHDF5Observer`. It saves positions (x, y, z) of particles with the radius (r) and serial number of `Species` (sid) to a CSV file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "test00.csv\n",
      "test06.csv\n"
     ]
    }
   ],
   "source": [
    "obs1 = FixedIntervalCSVObserver(0.2, \"test%02d.csv\")\n",
    "print(obs1.filename())\n",
    "sim = create_simulator()\n",
    "sim.run(1.0, obs1)\n",
    "print(obs1.filename())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is the first 10 lines in the output CSV file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x,y,z,r,sid\n",
      "0.698028,0.576404,0.909806,0,0\n",
      "0.718767,0.595254,0.776376,0,0\n",
      "0.0871218,0.403749,0.889247,0,0\n",
      "0.620976,0.317304,0.73291,0,0\n",
      "0.422875,0.756634,0.486491,0,0\n",
      "0.489729,0.869672,0.604034,0,0\n",
      "0.27081,0.184816,0.475873,0,0\n",
      "0.155155,0.842252,0.444279,0,0\n",
      "0.270323,0.236893,0.544951,0,0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(''.join(open(\"test05.csv\").readlines()[: 10]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For particle simulations, E-Cell4 also provides `Observer` to trace a trajectory of a molecule, named `FixedIntervalTrajectoryObserver`. When no `ParticleID` is specified, it logs all the trajectories. Once some `ParticleID` is lost for the reaction during a simulation, it just stop to trace the particle any more."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim = create_simulator(spatiocyte.Factory(0.005))\n",
    "obs1 = FixedIntervalTrajectoryObserver(0.01)\n",
    "sim.run(0.1, obs1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(0.563382640840131, 0.9901557116602082, 0.965), (0.6205374015050719, 1.0478907385791707, 0.935), (0.59604250407724, 1.0074762197358968, 0.915), (0.6776921621700127, 1.0594377439629632, 1.185), (0.751176854453508, 1.0392304845413263, 1.18), (0.8328265125462806, 0.9612881982007269, 1.225), (0.8899812732112214, 1.0421172358872746, 1.375), (0.751176854453508, 1.1344932789576145, 1.305), (0.9226411364483306, 1.0334569818494301, 1.2), (0.7348469228349536, 1.0738715006927038, 1.51), (0.8164965809277261, 1.0132497224277932, 1.605)]\n"
     ]
    }
   ],
   "source": [
    "print([tuple(pos) for pos in obs1.data()[0]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generally, `World` assumes a periodic boundary for each plane. To avoid the big jump of a particle at the edge due to the boundary condition, `FixedIntervalTrajectoryObserver` tries to keep the shift of positions. Thus, the positions stored in the `Observer` are not necessarily limited in the cuboid given for the `World`. To track the diffusion over the boundary condition accurately, the step interval for logging must be small enough. Of course, you can disable this option. See `help(FixedIntervalTrajectoryObserver)`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.2. Visualization of Data Logged\n",
    "\n",
    "In this section, we explain the visualization tools for data logged by `Observer`.\n",
    "\n",
    "Firstly, for time course data, `plotting.plot_number_observer` plots the data provided by `NumberObserver`, `FixedIntervalNumberObserver` and `TimingNumberObserver`. For the detailed usage of `plotting.plot_number_observer`, see `help(plotting.plot_number_observer)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "obs1 = NumberObserver(['C'])\n",
    "obs2 = FixedIntervalNumberObserver(0.1, ['A', 'B'])\n",
    "sim = create_simulator()\n",
    "sim.run(10.0, [obs1, obs2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting.plot_number_observer(obs1, obs2, step=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can set the style for plotting, and even add an arbitrary function to plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting.plot_number_observer(obs1, '-', obs2, ':', lambda t: 60 * (1 + 2 * math.exp(-0.9 * t)) / (2 + math.exp(-0.9 * t)), '--', step=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting in the phase plane is also available by specifing the x-axis and y-axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting.plot_number_observer(obs2, 'o', x='A', y='B')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For spatial simulations, to visualize the state of `World`, `plotting.plot_world` is available. This function plots the points of particles in three-dimensional volume in the interactive way. You can save the image by clicking a right button on the drawing region."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = create_simulator(spatiocyte.Factory(0.005))\n",
    "plotting.plot_world(sim.world())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also make a movie from a series of HDF5 files, given as a `FixedIntervalHDF5Observer`. `plotting.plot_movie` requires an extra library, `ffmpeg`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video controls>\n",
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       "\" type=\"video/webm\">\n",
       "     Your browser does not support the video tag.\n",
       "    </video>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = create_simulator(spatiocyte.Factory(0.005))\n",
    "obs1 = FixedIntervalHDF5Observer(0.02, 'test%02d.h5')\n",
    "sim.run(1.0, obs1)\n",
    "plotting.plot_movie(obs1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Finally, corresponding to `FixedIntervalTrajectoryObserver`, `plotting.plot_trajectory` provides a visualization of particle trajectories."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = create_simulator(spatiocyte.Factory(0.005))\n",
    "obs1 = FixedIntervalTrajectoryObserver(1e-3)\n",
    "sim.run(1, obs1)\n",
    "plotting.plot_trajectory(obs1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`show` internally calls these plotting functions corresponding to the given observer. Thus, you can do simply as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show(obs1)"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Edit 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": "3.7.1"
  },
  "widgets": {
   "state": {},
   "version": "1.1.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
