{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bcdf6abd-d74a-436b-896d-f037d445e961",
   "metadata": {},
   "source": [
    "# Interactive virtual inverse toeprint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "43fb0223-d756-4df6-b8cb-69d60660473e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-02-21T04:07:42.335136Z",
     "iopub.status.busy": "2025-02-21T04:07:42.334478Z",
     "iopub.status.idle": "2025-02-21T04:07:42.518910Z",
     "shell.execute_reply": "2025-02-21T04:07:42.518266Z",
     "shell.execute_reply.started": "2025-02-21T04:07:42.335087Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bce107e4fc5448ea8a554f2ad220da6a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(Dropdown(description='plot', options=('bands', 'shades'), value='bands'), Dropdown(descr…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from itpseq import DataSet\n",
    "\n",
    "data = DataSet('tetracenomycin/')\n",
    "\n",
    "data.itoeprint(interactive=True)\n",
    "# this example will not be interactive in the documentation"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.12.7"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
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      "model_module_version": "2.0.0",
      "model_name": "IntRangeSliderModel",
      "state": {
       "_model_name": "IntRangeSliderModel",
       "_view_name": "IntRangeSliderView",
       "behavior": "drag-tap",
       "description": "limit",
       "layout": "IPY_MODEL_bb0c7970f20a44188c96a22c10ceb31e",
       "max": 500,
       "style": "IPY_MODEL_3c02ad8f60ee4e298d75a044a443c255",
       "value": [
        0,
        100
       ]
      }
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      "model_name": "CheckboxModel",
      "state": {
       "description": "show_range",
       "disabled": false,
       "layout": "IPY_MODEL_50521599ba664cc8b940dd833862e7f1",
       "style": "IPY_MODEL_5b2d9358289043c1a351a4e0285a45e2",
       "value": true
      }
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     "09da1c9090ec4edb98d17071f8d0ba0b": {
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      "model_name": "CheckboxStyleModel",
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      "model_name": "DescriptionStyleModel",
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      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "2.0.0",
      "model_name": "FloatSliderModel",
      "state": {
       "behavior": "drag-tap",
       "description": "exposure",
       "layout": "IPY_MODEL_a78da79b1bb344368f8e74eaa8977447",
       "max": 10,
       "min": 0.1,
       "step": 0.1,
       "style": "IPY_MODEL_d3c02e09a72543c6846fc3968977ea78",
       "value": 1.0000000000000002
      }
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      "model_module_version": "2.0.0",
      "model_name": "SliderStyleModel",
      "state": {
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      }
     },
     "19e91d90fe4847b2a6984017d67b83cf": {
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      "model_name": "LayoutModel",
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     "252906fd46924fafb6451f092ee6019e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "2.0.0",
      "model_name": "DropdownModel",
      "state": {
       "_options_labels": [
        "bands",
        "shades"
       ],
       "description": "plot",
       "index": 0,
       "layout": "IPY_MODEL_ad7b622e9e094376b72338cb64fa6ab9",
       "style": "IPY_MODEL_0dedfb4dcbbc46e5aea2fd1403da79ff"
      }
     },
     "26f61820f0d24ff5a4ce91ffbed88bc9": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "2.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "2bd0bfff9ab3428b8e752702db521b58": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_19e91d90fe4847b2a6984017d67b83cf",
       "outputs": [
        {
         "data": {
          "image/png": 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",
          "text/plain": "<Figure size 640x480 with 1 Axes>"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": "<Axes: ylabel='Inverse-toeprint length'>"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "2d168a589b194c48baaf53769c36092f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "2.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "31c92e4db87c4db3a0fd33957f72d568": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "2.0.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "3c02ad8f60ee4e298d75a044a443c255": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "2.0.0",
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",
          "text/plain": "<Figure size 640x480 with 1 Axes>"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": "<Axes: ylabel='Inverse-toeprint length'>"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "bb0c7970f20a44188c96a22c10ceb31e": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "2.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "bce107e4fc5448ea8a554f2ad220da6a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "2.0.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_252906fd46924fafb6451f092ee6019e",
        "IPY_MODEL_a44ef9f71b87489b828f7677a63a6299",
        "IPY_MODEL_a9dff8f3281b4d088c7bc18a05fa2fbf",
        "IPY_MODEL_923aaa83a34f45d0a5f5f88349436c51",
        "IPY_MODEL_02094da1d6b84d65ba8f89e76c615371",
        "IPY_MODEL_f9c1251107a34573b1e1ff9d66f03ef9",
        "IPY_MODEL_c6020f1b40e442e1812eca185fab21dd"
       ],
       "layout": "IPY_MODEL_e55b742df0664cc19bd78e928f4e8716"
      }
     },
     "bdd0162bf6c34714bc58a20e62df8ff6": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "2.0.0",
      "model_name": "IntRangeSliderModel",
      "state": {
       "_model_name": "IntRangeSliderModel",
       "_view_name": "IntRangeSliderView",
       "behavior": "drag-tap",
       "description": "limit",
       "layout": "IPY_MODEL_a4195b4541f94c12851b1d204cd4e943",
       "max": 500,
       "style": "IPY_MODEL_cf61a42c8f904e0399b9ccd2f5bd1e0f",
       "value": [
        0,
        100
       ]
      }
     },
     "c09c26419d974731ab40ee769cd22661": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "2.0.0",
      "model_name": "DropdownModel",
      "state": {
       "_options_labels": [
        "bands",
        "shades"
       ],
       "description": "plot",
       "index": 1,
       "layout": "IPY_MODEL_e0492668296640deb271904a76d53992",
       "style": "IPY_MODEL_ecbb5e8c387b455485d412babb7fbf46"
      }
     },
     "c0a1fb6ae1674282b079121e15b4cfce": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "2.0.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "c6020f1b40e442e1812eca185fab21dd": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_8b0df1cbefbf4e99afc75076e8441b7b",
       "outputs": [
        {
         "data": {
          "image/png": 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",
          "text/plain": "<Figure size 640x480 with 1 Axes>"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "text/plain": "<Axes: ylabel='Inverse-toeprint length'>"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "c7572801a73445608f8cab40cd39e1e8": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "2.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "c99293b885a94ae8b6b9fb9361b90f7d": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "2.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "ce5744302ad04cb89cb19f8681da6743": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "2.0.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
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