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   "execution_count": 1,
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     "output_type": "stream",
     "text": [
      "Loading default IGoR model from path :  /home/alfaceor/.local/share/igor/models/human/tcr_beta/\n",
      "Parms filename:  /home/alfaceor/.local/share/igor/models/human/tcr_beta/models/model_parms.txt\n",
      "Margs filename:  /home/alfaceor/.local/share/igor/models/human/tcr_beta/models/model_marginals.txt\n",
      "--------------------------------------------------\n"
     ]
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       "<AxesSubplot:>"
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     "data": {
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       "<Figure size 432x288 with 1 Axes>"
      ]
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pygor3 as p3\n",
    "mdl = p3.IgorModel.load_default(\"human\", \"tcr_beta\")\n",
    "mdl.parms.plot_Graph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "strEvent = 'j_choice'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "event_to_marginalize.nickname :  j_choice\n",
      "-----\n",
      "event_to_eliminate :  v_choice\n",
      "var_to_eliminate:  v_choice\n",
      "da_sum_over_event.dims :  ('v_choice', 'j_choice', 'd_gene', 'v_3_del')\n",
      "new_factor.dims :  ('j_choice', 'd_gene', 'v_3_del')\n",
      "-----\n",
      "event_to_eliminate :  d_gene\n",
      "var_to_eliminate:  d_gene\n",
      "da_sum_over_event.dims :  ('d_gene', 'd_5_del', 'd_3_del', 'j_choice', 'v_3_del')\n",
      "new_factor.dims :  ('d_5_del', 'd_3_del', 'j_choice', 'v_3_del')\n",
      "-----\n",
      "event_to_eliminate :  v_3_del\n",
      "var_to_eliminate:  v_3_del\n",
      "da_sum_over_event.dims :  ('d_5_del', 'd_3_del', 'j_choice', 'v_3_del')\n",
      "new_factor.dims :  ('d_5_del', 'd_3_del', 'j_choice')\n",
      "-----\n",
      "event_to_eliminate :  d_5_del\n",
      "var_to_eliminate:  d_5_del\n",
      "da_sum_over_event.dims :  ('d_5_del', 'd_3_del', 'j_choice')\n",
      "new_factor.dims :  ('d_3_del', 'j_choice')\n",
      "-----\n",
      "event_to_eliminate :  j_5_del\n",
      "var_to_eliminate:  j_5_del\n",
      "da_sum_over_event.dims :  ('j_choice', 'j_5_del')\n",
      "new_factor.dims :  ('j_choice',)\n",
      "-----\n",
      "event_to_eliminate :  d_3_del\n",
      "var_to_eliminate:  d_3_del\n",
      "da_sum_over_event.dims :  ('d_3_del', 'j_choice')\n",
      "new_factor.dims :  ('j_choice',)\n",
      "-----\n",
      "event_to_eliminate :  vd_ins\n",
      "var_to_eliminate:  vd_ins\n",
      "da_sum_over_event.dims :  ('vd_ins',)\n",
      "new_factor.dims :  ()\n",
      "-----\n",
      "event_to_eliminate :  dj_ins\n",
      "var_to_eliminate:  dj_ins\n",
      "da_sum_over_event.dims :  ('dj_ins',)\n",
      "new_factor.dims :  ()\n"
     ]
    }
   ],
   "source": [
    "# mdl.generate_Pmarginals_general()\n",
    "sorted_events = mdl.parms.get_Event_list_sorted()\n",
    "sorted_events_to_marginalize = [event for event in sorted_events if not event.event_type == \"DinucMarkov\"]\n",
    "event_to_marginalize = mdl.parms.get_Event(strEvent)\n",
    "event_to_eliminate_ordered_list = [event for event in sorted_events_to_marginalize if not\n",
    "                                   event.nickname == event_to_marginalize.nickname]\n",
    "mdl.generate_Pmarginals_initial_factors()\n",
    "print(\"event_to_marginalize.nickname : \", event_to_marginalize.nickname)\n",
    "for event_to_eliminate in event_to_eliminate_ordered_list:\n",
    "    print(\"-----\")\n",
    "    print(\"event_to_eliminate : \", event_to_eliminate.nickname)\n",
    "    mdl.update_factors_by_sum_out_variable(event_to_eliminate.nickname)\n",
    "    # print(mdl.factors[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "mdl.factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['v_choice',\n",
       " 'd_gene',\n",
       " 'v_3_del',\n",
       " 'd_5_del',\n",
       " 'j_5_del',\n",
       " 'd_3_del',\n",
       " 'vd_ins',\n",
       " 'dj_ins']"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(map(lambda x: x.nickname, event_to_eliminate_ordered_list))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (j_choice: 15)&gt;\n",
       "array([0.11962186, 0.10538077, 0.02016188, 0.05684014, 0.09945672,\n",
       "       0.03726745, 0.0322361 , 0.12542452, 0.05034454, 0.09853381,\n",
       "       0.01948227, 0.07500318, 0.0190534 , 0.0709002 , 0.07029376])\n",
       "Coordinates:\n",
       "  * j_choice       (j_choice) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n",
       "    lbl__j_choice  (j_choice) object &#x27;K02545|TRBJ1-1*01|Homo sapiens|F|J-REGI...\n",
       "    seq__j_choice  (j_choice) object &#x27;TGAACACTGAAGCTTTCTTTGGACAAGGCACCAGACTCA...</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>j_choice</span>: 15</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-a4a405c1-cb73-4745-955d-adea1ff9c4f4' class='xr-array-in' type='checkbox' checked><label for='section-a4a405c1-cb73-4745-955d-adea1ff9c4f4' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.1196 0.1054 0.02016 0.05684 0.09946 ... 0.075 0.01905 0.0709 0.07029</span></div><div class='xr-array-data'><pre>array([0.11962186, 0.10538077, 0.02016188, 0.05684014, 0.09945672,\n",
       "       0.03726745, 0.0322361 , 0.12542452, 0.05034454, 0.09853381,\n",
       "       0.01948227, 0.07500318, 0.0190534 , 0.0709002 , 0.07029376])</pre></div></div></li><li class='xr-section-item'><input id='section-5e346b92-bb4c-4dc7-a728-f7647a8972ef' class='xr-section-summary-in' type='checkbox'  checked><label for='section-5e346b92-bb4c-4dc7-a728-f7647a8972ef' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>j_choice</span></div><div class='xr-var-dims'>(j_choice)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 6 7 8 9 10 11 12 13 14</div><input id='attrs-00f46519-c9a9-4a0f-9c8c-b11647cf307b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-00f46519-c9a9-4a0f-9c8c-b11647cf307b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-de864b46-ec4d-4687-9981-7f45e1250359' class='xr-var-data-in' type='checkbox'><label for='data-de864b46-ec4d-4687-9981-7f45e1250359' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>lbl__j_choice</span></div><div class='xr-var-dims'>(j_choice)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;K02545|TRBJ1-1*01|Homo sapiens|...</div><input id='attrs-6290b631-ac48-4e6c-a4bc-9bf149a803b5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6290b631-ac48-4e6c-a4bc-9bf149a803b5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c6f4455b-56ec-4573-9684-490532fb2e6b' class='xr-var-data-in' type='checkbox'><label for='data-c6f4455b-56ec-4573-9684-490532fb2e6b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;K02545|TRBJ1-1*01|Homo sapiens|F|J-REGION|749..796|48 nt|3| | | | |48+0=48| | |&#x27;,\n",
       "       &#x27;K02545|TRBJ1-2*01|Homo sapiens|F|J-REGION|886..933|48 nt|3| | | | |48+0=48| | |&#x27;,\n",
       "       &#x27;M14158|TRBJ1-3*01|Homo sapiens|F|J-REGION|1499..1548|50 nt|2| | | | |50+0=50| | |&#x27;,\n",
       "       &#x27;M14158|TRBJ1-4*01|Homo sapiens|F|J-REGION|2095..2145|51 nt|3| | | | |51+0=51| | |&#x27;,\n",
       "       &#x27;M14158|TRBJ1-5*01|Homo sapiens|F|J-REGION|2368..2417|50 nt|2| | | | |50+0=50| | |&#x27;,\n",
       "       &#x27;M14158|TRBJ1-6*01|Homo sapiens|F|J-REGION|2859..2911|53 nt|2| | | | |53+0=53| | |&#x27;,\n",
       "       &#x27;L36092|TRBJ1-6*02|Homo sapiens|F|J-REGION|643043..643095|53 nt|2| | | | |53+0=53| | |&#x27;,\n",
       "       &#x27;X02987|TRBJ2-1*01|Homo sapiens|F|J-REGION|800..849|50 nt|2| | | | |50+0=50| | |&#x27;,\n",
       "       &#x27;X02987|TRBJ2-2*01|Homo sapiens|F|J-REGION|995..1045|51 nt|3| | | | |51+0=51| | |&#x27;,\n",
       "       &#x27;X02987|TRBJ2-3*01|Homo sapiens|F|J-REGION|1282..1330|49 nt|1| | | | |49+0=49| | |&#x27;,\n",
       "       &#x27;X02987|TRBJ2-4*01|Homo sapiens|F|J-REGION|1432..1481|50 nt|2| | | | |50+0=50| | |&#x27;,\n",
       "       &#x27;X02987|TRBJ2-5*01|Homo sapiens|F|J-REGION|1553..1600|48 nt|3| | | | |48+0=48| | |&#x27;,\n",
       "       &#x27;X02987|TRBJ2-6*01|Homo sapiens|F|J-REGION|1673..1725|53 nt|2| | | | |53+0=53| | |&#x27;,\n",
       "       &#x27;M14159|TRBJ2-7*01|Homo sapiens|F|J-REGION|2316..2362|47 nt|2| | | | |47+0=47| | |&#x27;,\n",
       "       &#x27;X02987|TRBJ2-7*02|Homo sapiens|ORF|J-REGION|1890..1936|47 nt|2| | | | |47+0=47| | |&#x27;],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>seq__j_choice</span></div><div class='xr-var-dims'>(j_choice)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;TGAACACTGAAGCTTTCTTTGGACAAGGCAC...</div><input id='attrs-bf6f2fe6-abdd-45c9-9389-e110c1b28fce' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bf6f2fe6-abdd-45c9-9389-e110c1b28fce' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5023f68e-c5cd-48c2-b312-3ba9483ff5a8' class='xr-var-data-in' type='checkbox'><label for='data-5023f68e-c5cd-48c2-b312-3ba9483ff5a8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;TGAACACTGAAGCTTTCTTTGGACAAGGCACCAGACTCACAGTTGTAG&#x27;,\n",
       "       &#x27;CTAACTATGGCTACACCTTCGGTTCGGGGACCAGGTTAACCGTTGTAG&#x27;,\n",
       "       &#x27;CTCTGGAAACACCATATATTTTGGAGAGGGAAGTTGGCTCACTGTTGTAG&#x27;,\n",
       "       &#x27;CAACTAATGAAAAACTGTTTTTTGGCAGTGGAACCCAGCTCTCTGTCTTGG&#x27;,\n",
       "       &#x27;TAGCAATCAGCCCCAGCATTTTGGTGATGGGACTCGACTCTCCATCCTAG&#x27;,\n",
       "       &#x27;CTCCTATAATTCACCCCTCCACTTTGGGAATGGGACCAGGCTCACTGTGACAG&#x27;,\n",
       "       &#x27;CTCCTATAATTCACCCCTCCACTTTGGGAACGGGACCAGGCTCACTGTGACAG&#x27;,\n",
       "       &#x27;CTCCTACAATGAGCAGTTCTTCGGGCCAGGGACACGGCTCACCGTGCTAG&#x27;,\n",
       "       &#x27;CGAACACCGGGGAGCTGTTTTTTGGAGAAGGCTCTAGGCTGACCGTACTGG&#x27;,\n",
       "       &#x27;AGCACAGATACGCAGTATTTTGGCCCAGGCACCCGGCTGACAGTGCTCG&#x27;,\n",
       "       &#x27;AGCCAAAAACATTCAGTACTTCGGCGCCGGGACCCGGCTCTCAGTGCTGG&#x27;,\n",
       "       &#x27;ACCAAGAGACCCAGTACTTCGGGCCAGGCACGCGGCTCCTGGTGCTCG&#x27;,\n",
       "       &#x27;CTCTGGGGCCAACGTCCTGACTTTCGGGGCCGGCAGCAGGCTGACCGTGCTGG&#x27;,\n",
       "       &#x27;CTCCTACGAGCAGTACTTCGGGCCGGGCACCAGGCTCACGGTCACAG&#x27;,\n",
       "       &#x27;CTCCTACGAGCAGTACGTCGGGCCGGGCACCAGGCTCACGGTCACAG&#x27;], dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-3fd15f2b-5138-4141-9bb7-158d40d5ab14' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-3fd15f2b-5138-4141-9bb7-158d40d5ab14' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (j_choice: 15)>\n",
       "array([0.11962186, 0.10538077, 0.02016188, 0.05684014, 0.09945672,\n",
       "       0.03726745, 0.0322361 , 0.12542452, 0.05034454, 0.09853381,\n",
       "       0.01948227, 0.07500318, 0.0190534 , 0.0709002 , 0.07029376])\n",
       "Coordinates:\n",
       "  * j_choice       (j_choice) int64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14\n",
       "    lbl__j_choice  (j_choice) object 'K02545|TRBJ1-1*01|Homo sapiens|F|J-REGI...\n",
       "    seq__j_choice  (j_choice) object 'TGAACACTGAAGCTTTCTTTGGACAAGGCACCAGACTCA..."
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9 11\n"
     ]
    }
   ],
   "source": [
    "Pmarginal = dict()\n",
    "sorted_events = mdl.parms.get_Event_list_sorted()\n",
    "sorted_events_to_marginalize = [event for event in sorted_events if not event.event_type == \"DinucMarkov\"]\n",
    "print(len(sorted_events_to_marginalize), len(sorted_events))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "nicknames_sorted = list( nx.topological_sort(mdl.parms.G) )\n",
    "# list(nicknames_sorted)\n",
    "sorted_events = [mdl.parms.get_Event(nickname) for nickname in nicknames_sorted]\n",
    "sorted_events"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "sorted_events[::-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "nicknames_sorted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "Psi_list = list()\n",
    "for event in sorted_events:\n",
    "    parents = list(mdl.parms.G.predecessors(event.nickname))\n",
    "    if len(parents) == 0:\n",
    "        Pmarginal[event.nickname] = mdl.xdata[event.nickname]\n",
    "    else:\n",
    "        print(\"Aqui es el problema claro\")\n",
    "        # TODO: HERE START VARIABLE ELIMINATION ALGORITHM\n",
    "        dims_set = set( mdl.xdata[event.nickname].dims )\n",
    "        factors = list()\n",
    "            for ev_nick in mdl.xdata:\n",
    "            intersections = dims_set.intersection(set(mdl.xdata[ev_nick].dims))\n",
    "            if len(intersections) > 0 :\n",
    "                #print(intersections)\n",
    "                factors.append(mdl.xdata[ev_nick])\n",
    "        print(event.nickname, [ factor.attrs[\"nickname\"] for factor in factors])\n",
    "#         print(\"event.nickname : \", event.nickname)\n",
    "#         print(\"event.factors : \", factors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "strEvent = 'v_choice'\n",
    "tau = get_factor_variable_elimination(mdl, strEvent, nicknames_sorted)\n",
    "tau"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Get the factors\n",
    "# Elimination order\n",
    "# take a variable to eliminate (strEvent)\n",
    "# get the factors in the variable and generate a Psi (strEvent)\n",
    "# return the sumation over the variable to eliminate\n",
    "\n",
    "# def get_factor_variable_elimination(mdl, event_nickname, order_list_nicknames):\n",
    "mdl.xdata['vd_dinucl']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make a list of factors\n",
    "# what should be the correct structure for this\n",
    "# Give me the factors with the variables A, B, C\n",
    "# [Phi_A(A), Phi_B(B,A,X), Phi_C(C,X), ... Phi_Z(Z,N)]\n",
    "# [[A], [B, A, X]]\n",
    "print(mdl.xdata.keys())\n",
    "factors = list()\n",
    "for da in mdl.xdata.values():\n",
    "    if da.attrs[\"event_type\"] == 'DinucMarkov':\n",
    "        sarray = da.stack(z=('x', 'y'))\n",
    "        sarray = sarray.rename({\"z\": da.attrs[\"nickname\"]})\n",
    "        # factors.append(sarray)\n",
    "    else:\n",
    "        factors.append(da)\n",
    "\n",
    "# def generate_Pmarginals_initial_factors(self, factors):\n",
    "#     factors = list()\n",
    "#     for da in self.xdata.values():\n",
    "#         if da.attrs[\"event_type\"] == 'DinucMarkov':\n",
    "#             sarray = da.stack(z=('x', 'y'))\n",
    "#             sarray = sarray.rename({\"z\": da.attrs[\"nickname\"]})\n",
    "#             factors.append(sarray)\n",
    "#         else:\n",
    "#             factors.append(da)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "len(factors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "mdl['dj_ins']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# def sum_out_variable(var_to_eliminate):\n",
    "\n",
    "var_to_eliminate = 'dj_dinucl'\n",
    "factors_to_sum_out = list()\n",
    "_factors = list()\n",
    "\n",
    "for factor in factors:\n",
    "    if factor.attrs[\"event_type\"] == 'DinucMarkov':\n",
    "        lista = [ factor.attrs[\"nickname\"] ] + factor.attrs[\"parents\"]\n",
    "        var_intersection = {var_to_eliminate}.intersection(set(lista))\n",
    "    else:\n",
    "        var_intersection = {var_to_eliminate}.intersection(set(factor.dims))\n",
    "        # print(set(factor.dims))\n",
    "    if len(var_intersection) > 0 :\n",
    "        # print(var_intersection)\n",
    "        factors_to_sum_out.append(factor)\n",
    "    else:\n",
    "        _factors.append(factor)\n",
    "\n",
    "# sum-out-variables\n",
    "da_sum_over_event = 1\n",
    "print(\"factors_to_sum_out : \", len(factors_to_sum_out))\n",
    "for factor in factors_to_sum_out:\n",
    "    da_sum_over_event = da_sum_over_event*factor\n",
    "\n",
    "print(da_sum_over_event)\n",
    "\n",
    "_factors.append(da_sum_over_event.sum(dim=var_to_eliminate))\n",
    "factors = _factors\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(len(factors), factors[-1])\n",
    "# sum_out_variable('dj_dinucl')\n",
    "# print(len(factors), factors[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "sarray = array.stack(z=('x', 'y'))\n",
    "sarray.rename({\"z\":\"vd_dinucl\"})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#factors_to_sum_out"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import xarray as xr\n",
    "xx=list(range(4))\n",
    "yy=list(range(3))\n",
    "zz=list(range(2))\n",
    "ss=list(range(2))\n",
    "ww=list(range(2))\n",
    "\n",
    "da_1 = xr.DataArray(\n",
    "    np.random.random((len(xx), len(yy), len(zz))), \n",
    "    coords=[xx, yy, zz], dims=['x', 'y', 'z']\n",
    ")\n",
    "\n",
    "da_2 = xr.DataArray(\n",
    "    np.random.random((len(xx), len(ss))),\n",
    "    coords=[xx, ss], dims=['x', 's']\n",
    ")\n",
    "arr_3 = np.random.random(len(ww))\n",
    "arr_3 = arr_3/arr_3.sum()\n",
    "da_3 = xr.DataArray(\n",
    "    arr_3,\n",
    "    coords=[ww], dims=['w']\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
       ".xr-attrs dt, dd {\n",
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       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
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       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
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       "\n",
       ".xr-attrs dd {\n",
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       ".xr-icon-database,\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (w: 2)&gt;\n",
       "array([0.56095322, 0.43904678])\n",
       "Coordinates:\n",
       "  * w        (w) int64 0 1</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>w</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-e97e83f5-bd1a-4420-af92-f29bd13d944a' class='xr-array-in' type='checkbox' checked><label for='section-e97e83f5-bd1a-4420-af92-f29bd13d944a' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.561 0.439</span></div><div class='xr-array-data'><pre>array([0.56095322, 0.43904678])</pre></div></div></li><li class='xr-section-item'><input id='section-836e4f85-612b-4b2a-92c2-7443c115dcc4' class='xr-section-summary-in' type='checkbox'  checked><label for='section-836e4f85-612b-4b2a-92c2-7443c115dcc4' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>w</span></div><div class='xr-var-dims'>(w)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-fd8b132f-fae8-4e52-b647-ee70410479fd' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fd8b132f-fae8-4e52-b647-ee70410479fd' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-72b693f1-6e1c-4a04-a6ce-655eaa04f54b' class='xr-var-data-in' type='checkbox'><label for='data-72b693f1-6e1c-4a04-a6ce-655eaa04f54b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-fc1ab09b-3a2b-4479-9778-3c57587e12dd' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-fc1ab09b-3a2b-4479-9778-3c57587e12dd' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (w: 2)>\n",
       "array([0.56095322, 0.43904678])\n",
       "Coordinates:\n",
       "  * w        (w) int64 0 1"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "da_3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
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       "\n",
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       "\n",
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       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
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       "\n",
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       "\n",
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       "\n",
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       "  padding-top: 4px;\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
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       "\n",
       ".xr-attrs dt {\n",
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       "\n",
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       "\n",
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       "  fill: currentColor;\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (x: 4, y: 3, z: 2)&gt;\n",
       "array([[[0.49631577, 0.73454874],\n",
       "        [0.82163076, 0.61074096],\n",
       "        [0.85432104, 0.00273419]],\n",
       "\n",
       "       [[0.47680176, 0.25231292],\n",
       "        [0.25207709, 0.37329452],\n",
       "        [0.92414314, 0.21613017]],\n",
       "\n",
       "       [[0.64893075, 0.62273843],\n",
       "        [0.78002711, 0.4072341 ],\n",
       "        [0.91439889, 0.64323832]],\n",
       "\n",
       "       [[0.32755224, 0.42888497],\n",
       "        [0.03024432, 0.78585627],\n",
       "        [0.41577351, 0.31442499]]])\n",
       "Coordinates:\n",
       "  * x        (x) int64 0 1 2 3\n",
       "  * y        (y) int64 0 1 2\n",
       "  * z        (z) int64 0 1</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 4</li><li><span class='xr-has-index'>y</span>: 3</li><li><span class='xr-has-index'>z</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-58e384ee-e85b-4bdc-8033-d114d7d293b4' class='xr-array-in' type='checkbox' checked><label for='section-58e384ee-e85b-4bdc-8033-d114d7d293b4' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.4963 0.7345 0.8216 0.6107 0.8543 ... 0.03024 0.7859 0.4158 0.3144</span></div><div class='xr-array-data'><pre>array([[[0.49631577, 0.73454874],\n",
       "        [0.82163076, 0.61074096],\n",
       "        [0.85432104, 0.00273419]],\n",
       "\n",
       "       [[0.47680176, 0.25231292],\n",
       "        [0.25207709, 0.37329452],\n",
       "        [0.92414314, 0.21613017]],\n",
       "\n",
       "       [[0.64893075, 0.62273843],\n",
       "        [0.78002711, 0.4072341 ],\n",
       "        [0.91439889, 0.64323832]],\n",
       "\n",
       "       [[0.32755224, 0.42888497],\n",
       "        [0.03024432, 0.78585627],\n",
       "        [0.41577351, 0.31442499]]])</pre></div></div></li><li class='xr-section-item'><input id='section-641f0780-1ef7-42fb-99f3-5426c856bc88' class='xr-section-summary-in' type='checkbox'  checked><label for='section-641f0780-1ef7-42fb-99f3-5426c856bc88' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-b78a3d82-dbbe-48dd-a089-49b7d3da293d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b78a3d82-dbbe-48dd-a089-49b7d3da293d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5b24591b-c49f-4485-a70c-d8845ac4de0d' class='xr-var-data-in' type='checkbox'><label for='data-5b24591b-c49f-4485-a70c-d8845ac4de0d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-40421f45-8250-431b-b90f-fe759279605e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-40421f45-8250-431b-b90f-fe759279605e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-631035e5-49d1-4506-8865-f4b13ac52326' class='xr-var-data-in' type='checkbox'><label for='data-631035e5-49d1-4506-8865-f4b13ac52326' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>z</span></div><div class='xr-var-dims'>(z)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-2a203ed7-bd4a-4d7a-be97-d0976321d5ad' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-2a203ed7-bd4a-4d7a-be97-d0976321d5ad' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3770eafe-052c-41fa-ae24-a66a063c6f71' class='xr-var-data-in' type='checkbox'><label for='data-3770eafe-052c-41fa-ae24-a66a063c6f71' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-c3c84826-fa0d-4eb7-b380-26018694bab6' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-c3c84826-fa0d-4eb7-b380-26018694bab6' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (x: 4, y: 3, z: 2)>\n",
       "array([[[0.49631577, 0.73454874],\n",
       "        [0.82163076, 0.61074096],\n",
       "        [0.85432104, 0.00273419]],\n",
       "\n",
       "       [[0.47680176, 0.25231292],\n",
       "        [0.25207709, 0.37329452],\n",
       "        [0.92414314, 0.21613017]],\n",
       "\n",
       "       [[0.64893075, 0.62273843],\n",
       "        [0.78002711, 0.4072341 ],\n",
       "        [0.91439889, 0.64323832]],\n",
       "\n",
       "       [[0.32755224, 0.42888497],\n",
       "        [0.03024432, 0.78585627],\n",
       "        [0.41577351, 0.31442499]]])\n",
       "Coordinates:\n",
       "  * x        (x) int64 0 1 2 3\n",
       "  * y        (y) int64 0 1 2\n",
       "  * z        (z) int64 0 1"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "da_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (x: 4, y: 3, z: 2)&gt;\n",
       "array([[[0.49631577, 0.73454874],\n",
       "        [0.82163076, 0.61074096],\n",
       "        [0.85432104, 0.00273419]],\n",
       "\n",
       "       [[0.47680176, 0.25231292],\n",
       "        [0.25207709, 0.37329452],\n",
       "        [0.92414314, 0.21613017]],\n",
       "\n",
       "       [[0.64893075, 0.62273843],\n",
       "        [0.78002711, 0.4072341 ],\n",
       "        [0.91439889, 0.64323832]],\n",
       "\n",
       "       [[0.32755224, 0.42888497],\n",
       "        [0.03024432, 0.78585627],\n",
       "        [0.41577351, 0.31442499]]])\n",
       "Coordinates:\n",
       "  * x        (x) int64 0 1 2 3\n",
       "  * y        (y) int64 0 1 2\n",
       "  * z        (z) int64 0 1</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>x</span>: 4</li><li><span class='xr-has-index'>y</span>: 3</li><li><span class='xr-has-index'>z</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-b2fdc40c-1ffb-4d19-8d6e-0ce02bcf62ec' class='xr-array-in' type='checkbox' checked><label for='section-b2fdc40c-1ffb-4d19-8d6e-0ce02bcf62ec' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.4963 0.7345 0.8216 0.6107 0.8543 ... 0.03024 0.7859 0.4158 0.3144</span></div><div class='xr-array-data'><pre>array([[[0.49631577, 0.73454874],\n",
       "        [0.82163076, 0.61074096],\n",
       "        [0.85432104, 0.00273419]],\n",
       "\n",
       "       [[0.47680176, 0.25231292],\n",
       "        [0.25207709, 0.37329452],\n",
       "        [0.92414314, 0.21613017]],\n",
       "\n",
       "       [[0.64893075, 0.62273843],\n",
       "        [0.78002711, 0.4072341 ],\n",
       "        [0.91439889, 0.64323832]],\n",
       "\n",
       "       [[0.32755224, 0.42888497],\n",
       "        [0.03024432, 0.78585627],\n",
       "        [0.41577351, 0.31442499]]])</pre></div></div></li><li class='xr-section-item'><input id='section-36048740-e324-4453-8cce-d42e7ad55298' class='xr-section-summary-in' type='checkbox'  checked><label for='section-36048740-e324-4453-8cce-d42e7ad55298' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>x</span></div><div class='xr-var-dims'>(x)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-33cafe81-27bd-42ca-ab94-4881131ca89e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-33cafe81-27bd-42ca-ab94-4881131ca89e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-835693c1-d39b-4632-bd2c-472ecf8cb864' class='xr-var-data-in' type='checkbox'><label for='data-835693c1-d39b-4632-bd2c-472ecf8cb864' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>y</span></div><div class='xr-var-dims'>(y)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-79f5c07b-1c0e-4413-bad8-9f79ebb5e332' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-79f5c07b-1c0e-4413-bad8-9f79ebb5e332' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ed49c67f-e5d7-4e62-9d90-494588f3af05' class='xr-var-data-in' type='checkbox'><label for='data-ed49c67f-e5d7-4e62-9d90-494588f3af05' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>z</span></div><div class='xr-var-dims'>(z)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-6a9c111f-e62e-46d1-8377-f977b6a65c31' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6a9c111f-e62e-46d1-8377-f977b6a65c31' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f6f3d523-151c-41da-9a49-c183ec4f2358' class='xr-var-data-in' type='checkbox'><label for='data-f6f3d523-151c-41da-9a49-c183ec4f2358' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-5002a79b-31b3-4617-813d-0f11f5e44e6b' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-5002a79b-31b3-4617-813d-0f11f5e44e6b' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (x: 4, y: 3, z: 2)>\n",
       "array([[[0.49631577, 0.73454874],\n",
       "        [0.82163076, 0.61074096],\n",
       "        [0.85432104, 0.00273419]],\n",
       "\n",
       "       [[0.47680176, 0.25231292],\n",
       "        [0.25207709, 0.37329452],\n",
       "        [0.92414314, 0.21613017]],\n",
       "\n",
       "       [[0.64893075, 0.62273843],\n",
       "        [0.78002711, 0.4072341 ],\n",
       "        [0.91439889, 0.64323832]],\n",
       "\n",
       "       [[0.32755224, 0.42888497],\n",
       "        [0.03024432, 0.78585627],\n",
       "        [0.41577351, 0.31442499]]])\n",
       "Coordinates:\n",
       "  * x        (x) int64 0 1 2 3\n",
       "  * y        (y) int64 0 1 2\n",
       "  * z        (z) int64 0 1"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(da_1*da_3).sum(dim='w')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
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       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt, dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (v_choice: 3, j_choice: 2)&gt;\n",
       "array([[0.17409332, 0.06006185],\n",
       "       [0.12208821, 0.68954972],\n",
       "       [0.30228118, 0.25862621]])\n",
       "Coordinates:\n",
       "  * v_choice  (v_choice) int64 0 1 2\n",
       "  * j_choice  (j_choice) int64 0 1</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>v_choice</span>: 3</li><li><span class='xr-has-index'>j_choice</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-d0da5a7f-fe54-4404-a8e2-fe3bb937cb9b' class='xr-array-in' type='checkbox' checked><label for='section-d0da5a7f-fe54-4404-a8e2-fe3bb937cb9b' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.1741 0.06006 0.1221 0.6895 0.3023 0.2586</span></div><div class='xr-array-data'><pre>array([[0.17409332, 0.06006185],\n",
       "       [0.12208821, 0.68954972],\n",
       "       [0.30228118, 0.25862621]])</pre></div></div></li><li class='xr-section-item'><input id='section-3d4f2941-c9c9-4c18-b07a-265fd149c8b0' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3d4f2941-c9c9-4c18-b07a-265fd149c8b0' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>v_choice</span></div><div class='xr-var-dims'>(v_choice)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-d5ff9574-bbca-4b75-a65b-28d2306495e4' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d5ff9574-bbca-4b75-a65b-28d2306495e4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-93f6644c-b1b4-40a6-b17f-cfd8a096e000' class='xr-var-data-in' type='checkbox'><label for='data-93f6644c-b1b4-40a6-b17f-cfd8a096e000' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>j_choice</span></div><div class='xr-var-dims'>(j_choice)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-87b334e0-2a5a-4bf9-9ebe-8c3c5d5ee1d8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-87b334e0-2a5a-4bf9-9ebe-8c3c5d5ee1d8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-88a70082-3900-4821-8251-2587ec9b20bd' class='xr-var-data-in' type='checkbox'><label for='data-88a70082-3900-4821-8251-2587ec9b20bd' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-13081fb9-4dc6-4feb-aea8-8a4ea7629c14' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-13081fb9-4dc6-4feb-aea8-8a4ea7629c14' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (v_choice: 3, j_choice: 2)>\n",
       "array([[0.17409332, 0.06006185],\n",
       "       [0.12208821, 0.68954972],\n",
       "       [0.30228118, 0.25862621]])\n",
       "Coordinates:\n",
       "  * v_choice  (v_choice) int64 0 1 2\n",
       "  * j_choice  (j_choice) int64 0 1"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "da_v*da_j"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt, dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (v_choice: 3, j_choice: 2)&gt;\n",
       "array([[0.17409332, 0.06006185],\n",
       "       [0.12208821, 0.68954972],\n",
       "       [0.30228118, 0.25862621]])\n",
       "Coordinates:\n",
       "  * v_choice  (v_choice) int64 0 1 2\n",
       "  * j_choice  (j_choice) int64 0 1</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>v_choice</span>: 3</li><li><span class='xr-has-index'>j_choice</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-f2fbc993-fbd7-4124-8e28-e6d546def2fd' class='xr-array-in' type='checkbox' checked><label for='section-f2fbc993-fbd7-4124-8e28-e6d546def2fd' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.1741 0.06006 0.1221 0.6895 0.3023 0.2586</span></div><div class='xr-array-data'><pre>array([[0.17409332, 0.06006185],\n",
       "       [0.12208821, 0.68954972],\n",
       "       [0.30228118, 0.25862621]])</pre></div></div></li><li class='xr-section-item'><input id='section-1e31177f-7868-46f5-bfec-7cbe91c56985' class='xr-section-summary-in' type='checkbox'  checked><label for='section-1e31177f-7868-46f5-bfec-7cbe91c56985' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>v_choice</span></div><div class='xr-var-dims'>(v_choice)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2</div><input id='attrs-06ab6719-4d37-4630-8189-87a762407f57' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-06ab6719-4d37-4630-8189-87a762407f57' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-84d32334-e0ce-4a66-9aed-ac05d0012378' class='xr-var-data-in' type='checkbox'><label for='data-84d32334-e0ce-4a66-9aed-ac05d0012378' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>j_choice</span></div><div class='xr-var-dims'>(j_choice)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-fc6ccde4-3400-4175-82cf-7ff0905d5581' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fc6ccde4-3400-4175-82cf-7ff0905d5581' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-287835c5-f564-4748-b8a6-bb12a3e90a97' class='xr-var-data-in' type='checkbox'><label for='data-287835c5-f564-4748-b8a6-bb12a3e90a97' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-2adef91e-1805-4513-84fd-7ce7bd60b01c' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-2adef91e-1805-4513-84fd-7ce7bd60b01c' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (v_choice: 3, j_choice: 2)>\n",
       "array([[0.17409332, 0.06006185],\n",
       "       [0.12208821, 0.68954972],\n",
       "       [0.30228118, 0.25862621]])\n",
       "Coordinates:\n",
       "  * v_choice  (v_choice) int64 0 1 2\n",
       "  * j_choice  (j_choice) int64 0 1"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "da_j*da_v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt, dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (j_choice: 2)&gt;\n",
       "array([0.59846272, 1.00823778])\n",
       "Coordinates:\n",
       "  * j_choice  (j_choice) int64 0 1</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>j_choice</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-9984acf4-40fc-4519-a519-dec23180d7d8' class='xr-array-in' type='checkbox' checked><label for='section-9984acf4-40fc-4519-a519-dec23180d7d8' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.5985 1.008</span></div><div class='xr-array-data'><pre>array([0.59846272, 1.00823778])</pre></div></div></li><li class='xr-section-item'><input id='section-3adb7f3d-3024-481f-895a-0c55d9643de6' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3adb7f3d-3024-481f-895a-0c55d9643de6' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>j_choice</span></div><div class='xr-var-dims'>(j_choice)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-aca27e71-ef94-4b14-afbb-76fe4b674ecb' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-aca27e71-ef94-4b14-afbb-76fe4b674ecb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-12019e55-0605-45c5-8cd0-a3956d0cd9ed' class='xr-var-data-in' type='checkbox'><label for='data-12019e55-0605-45c5-8cd0-a3956d0cd9ed' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-9e64331c-7303-49a0-9885-342a4bc05d47' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-9e64331c-7303-49a0-9885-342a4bc05d47' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (j_choice: 2)>\n",
       "array([0.59846272, 1.00823778])\n",
       "Coordinates:\n",
       "  * j_choice  (j_choice) int64 0 1"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "da_v.dot(da_j)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
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       "\n",
       ".xr-dim-list li {\n",
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       "\n",
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       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
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       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt, dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (j_choice: 2)&gt;\n",
       "array([0.59846272, 1.00823778])\n",
       "Coordinates:\n",
       "  * j_choice  (j_choice) int64 0 1</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>j_choice</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-83dd3fb3-5ad8-4fd9-ac09-8ce9bfa561b4' class='xr-array-in' type='checkbox' checked><label for='section-83dd3fb3-5ad8-4fd9-ac09-8ce9bfa561b4' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.5985 1.008</span></div><div class='xr-array-data'><pre>array([0.59846272, 1.00823778])</pre></div></div></li><li class='xr-section-item'><input id='section-84f633f0-689f-4874-b5a1-bfd45ff9462c' class='xr-section-summary-in' type='checkbox'  checked><label for='section-84f633f0-689f-4874-b5a1-bfd45ff9462c' class='xr-section-summary' >Coordinates: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>j_choice</span></div><div class='xr-var-dims'>(j_choice)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-77c4808c-83b3-4593-aa4e-a0e9a1cc324c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-77c4808c-83b3-4593-aa4e-a0e9a1cc324c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-60867e20-b25f-410d-8bd1-ea1200a30bb6' class='xr-var-data-in' type='checkbox'><label for='data-60867e20-b25f-410d-8bd1-ea1200a30bb6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-fc8eda9f-855d-489f-9585-1920d4967ccc' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-fc8eda9f-855d-489f-9585-1920d4967ccc' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (j_choice: 2)>\n",
       "array([0.59846272, 1.00823778])\n",
       "Coordinates:\n",
       "  * j_choice  (j_choice) int64 0 1"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "da_j.dot(da_v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import numpy as np\n",
    "# v_genlabel = np.vectorize(p3.genLabel)\n",
    "p3.v_genLabel( mdl.Pmarginal['j_choice']['lbl__j_choice'] )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "str_event_nickname=\"d_gene\"\n",
    "print(type({str_event_nickname}))\n",
    "set(mdl[str_event_nickname].attrs[\"parents\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "# mdl[str_event_nickname].attrs[\"parents\"]\n",
    "# mdl.parms.G\n",
    "str_event_nickname01 = \"v_choice\"\n",
    "str_event_nickname02 = \"j_choice\"\n",
    "nx.d_separated(mdl.parms.G, {str_event_nickname01}, {str_event_nickname02}, {})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "aa = nx.topological_sort(mdl.parms.G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(list(aa))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "Pmarginal=dict()\n",
    "roots = [n for n,d in mdl.parms.G.in_degree() if d==0]\n",
    "topo_sort_events = list(nx.topological_sort(mdl.parms.G))\n",
    "events_to_process = topo_sort_events.copy()\n",
    "print(events_to_process)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "Pmarginal=dict()\n",
    "roots = [n for n,d in mdl.parms.G.in_degree() if d==0]\n",
    "topo_sort_events = list(nx.topological_sort(mdl.parms.G))\n",
    "events_to_process = topo_sort_events.copy()\n",
    "print(\"events_to_process : \", events_to_process)\n",
    "for event_nickname in nx.topological_sort(mdl.parms.G):\n",
    "    if event_nickname in roots:\n",
    "        Pmarginal[event_nickname] = mdl[event_nickname]\n",
    "        events_to_process.remove(event_nickname)\n",
    "    else:\n",
    "        # calculate marginals\n",
    "        event_parents = list(mdl.parms.G.predecessors(event_nickname))\n",
    "        aaa = [ event for event in topo_sort_events if event in event_parents]\n",
    "        print(event_nickname, aaa)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "events_to_process"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "aaa = [ event for event in topo_sort_events if event in event_parents]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "ev_nickname01='v_choice'\n",
    "ev_nickname02='d_3_del'\n",
    "for path in nx.all_simple_paths(mdl.parms.G, source=ev_nickname01, target=ev_nickname02):\n",
    "    print(\"=\"*5, path)\n",
    "    for node in path[1:-1]:\n",
    "        print(node)\n",
    "        parents = mdl.parms.G.predecessors(node)\n",
    "        print(list(parents))\n",
    "    print(\"-\"*5)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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