{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import sonia\n",
    "from sonia.sonia_leftpos_rightpos import SoniaLeftposRightpos\n",
    "from sonia.plotting import Plotter\n",
    "from sonia.evaluate_model import EvaluateModel\n",
    "from sonia.sequence_generation import SequenceGeneration\n",
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## load lists of sequences with gene specification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array(['CASSKQGASEAFF', 'TRBV7-8', 'TRBJ1-1'], dtype='<U26'),\n",
       " array(['CASSPPPNYGYTF', 'TRBV6-1', 'TRBJ1-2'], dtype='<U26'),\n",
       " array(['CASSTDTTEAFF', 'TRBV6-5', 'TRBJ1-1'], dtype='<U26')]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# this assume data sequences are in semi-colon separated text file, with gene specification\n",
    "data_seqs = list(pd.read_csv('data_seqs.csv.gz').values.astype(np.str))\n",
    "data_seqs[:3]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## define and infer model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  1%|          | 1449/200000 [00:00<00:13, 14488.42it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Encode data.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 200000/200000 [00:14<00:00, 13918.58it/s]\n"
     ]
    }
   ],
   "source": [
    "qm = SoniaLeftposRightpos(data_seqs=data_seqs,chain_type='humanTRB')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  1%|          | 1824/200000 [00:00<00:21, 9184.30it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generate sequences.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 200000/200000 [00:22<00:00, 8876.69it/s]\n",
      "  1%|▏         | 2944/200000 [00:00<00:13, 14349.60it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Encode gen.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 200000/200000 [00:13<00:00, 14425.46it/s]\n"
     ]
    }
   ],
   "source": [
    "# add generated sequences (you can add them from file too, more is better.)\n",
    "qm.add_generated_seqs(int(2e5)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#define and train model\n",
    "qm.infer_selection(epochs=30)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## do some plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sonia=Plotter(qm)\n",
    "plot_sonia.plot_model_learning()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sonia.plot_vjl()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_sonia.plot_logQ()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## generate sequences"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "gn=SequenceGeneration(qm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['CASTGLDTEAFF', 'TRBV9', 'TRBJ1-1', 'TGTGCCAGCACAGGGCTTGACACTGAAGCTTTCTTT'],\n",
       " ['CASSALPGQNLNTEAFF',\n",
       "  'TRBV5-4',\n",
       "  'TRBJ1-1',\n",
       "  'TGTGCCAGCAGCGCCCTTCCCGGGCAAAATTTGAACACTGAAGCTTTCTTT'],\n",
       " ['CASSFLKEGALYGYTF',\n",
       "  'TRBV11-3',\n",
       "  'TRBJ1-2',\n",
       "  'TGTGCCAGCAGCTTTCTCAAAGAGGGGGCCCTCTATGGCTACACCTTC']]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pre_seqs=gn.generate_sequences_pre(int(1e4))\n",
    "pre_seqs[:3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([['CAIVMVARIDTQYF', 'TRBV9', 'TRBJ2-3',\n",
       "        'TGTGCCATTGTGATGGTAGCGAGGATAGATACGCAGTATTTT'],\n",
       "       ['CASSPSSSLTNYGYTF', 'TRBV4-2', 'TRBJ1-2',\n",
       "        'TGTGCCAGCAGCCCCAGTTCGAGCCTCACTAACTATGGCTACACCTTC'],\n",
       "       ['CASSELLVWDRVGNEQFF', 'TRBV2', 'TRBJ2-1',\n",
       "        'TGTGCCAGCAGTGAACTACTCGTCTGGGACAGGGTTGGCAATGAGCAGTTCTTC']],\n",
       "      dtype='<U96')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "post_seqs=gn.generate_sequences_post(int(1e4))\n",
    "post_seqs[:3]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## evaluate sequences"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "ev=EvaluateModel(qm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.77306277 3.2957966  0.80261236]\n",
      "[3.34611302e-16 2.71243768e-12 1.90287780e-14]\n",
      "[2.58675539e-16 8.93964296e-12 1.52727325e-14]\n"
     ]
    }
   ],
   "source": [
    "Q_data,pgen_data,ppost_data=ev.evaluate_seqs(qm.data_seqs[:int(1e4)])\n",
    "Q_gen,pgen_gen,ppost_gen=ev.evaluate_seqs(pre_seqs)\n",
    "Q_model,pgen_model,ppost_model=ev.evaluate_seqs(post_seqs)\n",
    "print(Q_model[:3]),\n",
    "print(pgen_model[:3])\n",
    "print(ppost_model[:3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "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": [
    "plot_sonia.plot_prob(data=pgen_data,gen=pgen_gen,model=pgen_model,ptype='P_{pre}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "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": [
    "plot_sonia.plot_prob(ppost_data,ppost_gen,ppost_model,ptype='P_{post}')"
   ]
  },
  {
   "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": [
    "plot_sonia.plot_prob(Q_data,Q_gen,Q_model,ptype='Q',bin_min=-4,bin_max=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## some utils from OLGA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# evaluation and selection models import olga classes, that can be used for additional analyses."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('TGTGCCAGCAGCTTATTGAGTACGGGACAGGGGCAAAGAGCTTTCTTT', 'CASSLLSTGQGQRAFF', 69, 0)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gn.seq_gen_model.gen_rnd_prod_CDR3()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['TRBJ1-2*01',\n",
       " 'CTAACTATGGCTACACCTTC',\n",
       " 'CTAACTATGGCTACACCTTCGGTTCGGGGACCAGGTTAACCGTTGTAG']"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gn.genomic_data.genJ[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([6.17437e-02, 3.61889e-02, 9.09608e-02, 1.05828e-01, 1.37586e-01,\n",
       "       1.14643e-01, 9.60481e-02, 8.14864e-02, 6.38634e-02, 4.92164e-02,\n",
       "       3.93751e-02, 2.90524e-02, 2.30059e-02, 1.64381e-02, 1.45157e-02,\n",
       "       1.13759e-02, 5.79127e-03, 5.97164e-03, 3.92779e-03, 2.96191e-03,\n",
       "       2.04381e-03, 2.48417e-03, 9.09996e-04, 1.35102e-03, 2.44798e-04,\n",
       "       4.52171e-04, 9.17052e-04, 6.28282e-04, 0.00000e+00, 1.41295e-05,\n",
       "       9.74155e-04, 0.00000e+00, 0.00000e+00, 0.00000e+00, 0.00000e+00])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ev.pgen_model.PinsDJ"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## load default sonia models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cannot find data_seqs.tsv  --  no data seqs loaded.\n",
      "Cannot find gen_seqs.tsv  --  no generated seqs loaded.\n"
     ]
    }
   ],
   "source": [
    "# load default model (human TRA)\n",
    "model_dir=os.path.join(os.path.dirname(sonia.sonia_leftpos_rightpos.__file__),'default_models','human_T_alpha')\n",
    "qm=SoniaLeftposRightpos(load_dir=model_dir,chain_type='human_T_alpha')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[['CALSRVTGGGNKLTF' 'TRAV19' 'TRAJ10'\n",
      "  'TGTGCTCTGTCCAGGGTCACGGGAGGAGGAAACAAACTCACCTTT']\n",
      " ['CALSDLRSDGQKLLF' 'TRAV9-2' 'TRAJ16'\n",
      "  'TGTGCTCTGAGTGATCTACGGTCAGATGGCCAGAAGCTGCTCTTT']\n",
      " ['CAAKTGTASKLTF' 'TRAV13-1' 'TRAJ44'\n",
      "  'TGTGCAGCAAAAACCGGCACTGCCAGTAAACTCACCTTT']\n",
      " ['CAMREVDTVSGGYNKLIF' 'TRAV14/DV4' 'TRAJ4'\n",
      "  'TGTGCAATGAGAGAGGTAGATACGGTTTCTGGTGGCTACAATAAGCTGATTTTT']\n",
      " ['CAAIPNNNARLMF' 'TRAV23/DV6' 'TRAJ31'\n",
      "  'TGTGCAGCAATCCCGAATAACAATGCCAGACTCATGTTT']\n",
      " ['CALEESSASKIIF' 'TRAV6' 'TRAJ3'\n",
      "  'TGTGCTCTAGAAGAGAGCAGTGCTTCCAAGATAATCTTT']\n",
      " ['CAVRDPNQGGKLIF' 'TRAV1-1' 'TRAJ23'\n",
      "  'TGCGCTGTGAGAGATCCGAACCAGGGAGGAAAGCTTATCTTC']\n",
      " ['CAVRVNNNARLMF' 'TRAV1-1' 'TRAJ31'\n",
      "  'TGCGCTGTGAGAGTGAATAACAATGCCAGACTCATGTTT']\n",
      " ['CAVFGNAGGTSYGKLTF' 'TRAV36/DV7' 'TRAJ52'\n",
      "  'TGTGCTGTGTTTGGTAATGCTGGTGGTACTAGCTATGGAAAGCTGACATTT']\n",
      " ['CAACSQGGSEKLVF' 'TRAV13-1' 'TRAJ57'\n",
      "  'TGTGCAGCATGCTCTCAGGGCGGATCTGAAAAGCTGGTCTTT']]\n"
     ]
    }
   ],
   "source": [
    "sq=SequenceGeneration(sonia_model=qm)\n",
    "# generate seqs pre\n",
    "seqs=sq.generate_sequences_pre(10)\n",
    "# generate seqs post\n",
    "seqs = sq.generate_sequences_post(10)\n",
    "print(seqs)"
   ]
  }
 ],
 "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": "3.6.10"
  }
 },
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 "nbformat_minor": 4
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