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   "source": [
    "# Dynamic Fault Trees"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Building DFTs\n",
    "\n",
    "[01-dfts.py](https://github.com/moves-rwth/stormpy/blob/master/examples/dfts/01-dfts.py)\n",
    "\n",
    "Dynamic fault trees can be loaded from either the Galileo format or from a custom JSON form.\n",
    "A file containing the DFT in the Galileo format can be loaded via `load_dft_galileo_file(path)`.\n",
    "The custom JSON format can be loaded from a file via `load_dft_json_file(path)` or directly from a string via `load_dft_json_string(path)`.\n",
    "We start by loading a simple DFT containing an AND gate from JSON:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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   "source": [
    ">>> import stormpy\n",
    ">>> import stormpy.dft\n",
    ">>> import stormpy.examples\n",
    ">>> import stormpy.examples.files\n",
    ">>> path_json = stormpy.examples.files.dft_json_and\n",
    ">>> dft_small = stormpy.dft.load_dft_json_file(path_json)\n",
    ">>> print(dft_small)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we load a more complex DFT from the Galileo format:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "hide-output": false
   },
   "outputs": [],
   "source": [
    ">>> path_galileo = stormpy.examples.files.dft_galileo_hecs\n",
    ">>> dft = stormpy.dft.load_dft_galileo_file(path_galileo)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After loading the DFT, we can display some common statistics about the model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "hide-output": false
   },
   "outputs": [],
   "source": [
    ">>> print(\"DFT with {} elements.\".format(dft.nr_elements()))\n",
    ">>> print(\"DFT has {} BEs and {} dynamic elements.\".format(dft.nr_be(), dft.nr_dynamic()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analyzing DFTs\n",
    "\n",
    "[01-dfts.py](https://github.com/moves-rwth/stormpy/blob/master/examples/dfts/01-dfts.py)\n",
    "\n",
    "The next step is to analyze the DFT via `analyze_dft(dft, formula)`.\n",
    "Here we can use all standard properties as described in [Building properties](../getting_started.ipynb#building-properties).\n",
    "In our example we compute the Mean-time-to-failure (MTTF):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "hide-output": false
   },
   "outputs": [],
   "source": [
    ">>> formula_str = \"T=? [ F \\\"failed\\\" ]\"\n",
    ">>> formulas = stormpy.parse_properties(formula_str)\n",
    ">>> results = stormpy.dft.analyze_dft(dft, [formulas[0].raw_formula])\n",
    ">>> result = results[0]\n",
    ">>> print(\"MTTF: {:.2f}\".format(result))"
   ]
  }
 ],
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