{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Merging bins"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from physt.binnings import *\n",
    "from physt import h1, h2\n",
    "import numpy as np\n",
    "\n",
    "np.random.seed(42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.random.rand(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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": [
    "hh = h1(data, 120)\n",
    "hh.plot(errors=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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": [
    "hh.merge_bins(2, inplace=True)\n",
    "hh.plot(errors=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "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": [
    "hh.merge_bins(2, inplace=True)\n",
    "hh.plot(errors=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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": [
    "hh.merge_bins(2, inplace=True)\n",
    "hh.plot(errors=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "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": [
    "hh.merge_bins(2, inplace=True)\n",
    "hh.plot(errors=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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": [
    "hh.merge_bins(2, inplace=True)\n",
    "hh.plot(errors=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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": [
    "hh.merge_bins(2, inplace=True)\n",
    "hh.plot(errors=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### By min frequency\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "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": [
    "data = np.random.normal(0, 1, 5000)\n",
    "hh = h1(data, 120)\n",
    "hh.plot();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "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": [
    "hh.merge_bins(min_frequency=100, inplace=True)\n",
    "hh.plot(density=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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": [
    "hh.merge_bins(min_frequency=600, inplace=True)\n",
    "hh.plot(density=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The same can be done for 2D histograms (i.e. each column, each row should contain more than the minimum). Unfortunately, a general, irregular-shaped binning is not yet supported."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 2D example\n",
    "data1 = np.random.normal(0, 1, 600)\n",
    "data2 = np.random.rand(600)"
   ]
  },
  {
   "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"
    },
    {
     "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": [
    "hh = h2(data1, data2, 23)\n",
    "ax = hh.plot(show_zero=0, cmap=\"rainbow\", show_colorbar=False);\n",
    "ax.set_title(\"Before merging\")\n",
    "hh.merge_bins(min_frequency=30, inplace=True)\n",
    "ax = hh.plot(density=True, show_zero=False, cmap=\"rainbow\", show_colorbar=False)\n",
    "ax.set_title(\"After merging\");"
   ]
  }
 ],
 "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}