{
 "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hh = h1(data, 120)\n",
    "hh.plot(errors=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {},
     "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {},
     "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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eeuopTZ06td02y7K0Zs0aLV68WJMnT1Z6erpeffVVHT9+vN2dvb/085//XHPnztWDDz6oW265RevXr1fv3r21ceNGf8cDAAAIWwH98ERtba2cTqeys7O96+Lj45WZmanKysoOj2ltbdWBAwd8jomIiFB2dnanx7S0tMjlcvksAAAA4S6gH55wOp2SpKSkJJ/1SUlJ3m1/rbGxUW1tbR0e88knn3R4THFxsVasWBGAiQEAMFvaoi2hHsGHp/Xrt2YNX1KuiOiYEE7TXt3qe0M9whXpkT/upKioSE1NTd7l6NGjoR4JAAAg5AIadsnJyZKkhoYGn/UNDQ3ebX+tf//+ioyM9OsYu92uuLg4nwUAACDcBTTsBg0apOTkZFVUVHjXuVwu7du3T1lZWR0eEx0drYyMDJ9jPB6PKioqOj0GAAAA7fn9Hrvm5mZVV1d7H9fW1qqqqkrXXXedbrzxRi1YsEBPPfWUbrrpJg0aNEhLliyRw+HQlClTvMdMmjRJU6dOVUFBgSSpsLBQs2bN0m233aYxY8ZozZo1crvdevDBB6/8GQIAAIQJv8Nu//79mjhxovdxYWGhJGnWrFkqLS3Vj3/8Y7ndbs2bN0+nTp3SuHHjVF5erpiYr98cWVNTo8bGRu/j6dOn64svvtDSpUvldDo1evRolZeXt/tABQAAADrnd9hNmDBBlmV1ut1ms2nlypVauXJlp/vU1dW1W1dQUOC9gwcAAAD/9chPxQIAAKA9wg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAM4fePOwGCISI6RgMXbg71GAAA9GjcsQMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGiAr1AAAAAFeLtEVbrvgcntaz3q+HLylXRHTMlZ2v5cwl78sdOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADBEwMMuLS1NNput3TJ//vwO9y8tLW23b0zMlX16BAAAIBwF/Med/P73v1dbW5v38UcffaS/+7u/07Rp0zo9Ji4uTocOHfI+ttlsgR4LQBiLiI7RwIWbQz1Gj8E/L6DnCnjYJSYm+jxevXq1hgwZojvvvLPTY2w2m5KTkwM9CgAAQFgJ6nvsWltb9dprr+kHP/hBl3fhmpubNXDgQKWmpmry5Mn6+OOPgzkWAACAkYIadmVlZTp16pRmz57d6T5Dhw7Vxo0b9d577+m1116Tx+PR2LFjdezYsU6PaWlpkcvl8lkAAADCXVDD7qWXXlJubq4cDken+2RlZWnmzJkaPXq07rzzTr3zzjtKTEzUCy+80OkxxcXFio+P9y6pqanBGB8AAKBHCVrYHTlyRNu3b9dDDz3k13HXXHONvvnNb6q6urrTfYqKitTU1ORdjh49eqXjAgAA9HhBC7uXX35ZAwYM0L333uvXcW1tbfrwww+VkpLS6T52u11xcXE+CwAAQLgLSth5PB69/PLLmjVrlqKifD94O3PmTBUVFXkfr1y5Ur/97W/16aef6uDBg/rHf/xHHTlyxO87fQAAAOEu4D/uRJK2b9+u+vp6/eAHP2i3rb6+XhERX/fkl19+qblz58rpdKpv377KyMjQnj17dMsttwRjNAAAAGMFJezuuusuWZbV4bYdO3b4PH7uuef03HPPBWMMAACAsMLvigUAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYIig/oBgAAKAjEdExGrhwc6jHMBZ37AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYIuBht3z5ctlsNp9l2LBhXR7z9ttva9iwYYqJidHIkSO1devWQI8FAABgvKhgnPTWW2/V9u3bv/4mUZ1/mz179ig/P1/FxcX6zne+ozfeeENTpkzRwYMHNWLEiGCMBwAAEDQR0TEauHBzaL53ME4aFRWl5ORk79K/f/9O9/23f/s33X333frRj36k4cOHa9WqVfqbv/kbrV27NhijAQAAGCsoYXf48GE5HA4NHjxYM2bMUH19faf7VlZWKjs722ddTk6OKisrgzEaAACAsQL+UmxmZqZKS0s1dOhQnThxQitWrND48eP10UcfKTY2tt3+TqdTSUlJPuuSkpLkdDo7/R4tLS1qaWnxPna5XIF7AgAAAD1UwMMuNzfX+3V6eroyMzM1cOBAvfXWW5ozZ05AvkdxcbFWrFgRkHMBAACYIug/7iQhIUE333yzqqurO9yenJyshoYGn3UNDQ1KTk7u9JxFRUVqamryLkePHg3ozAAAAD1R0MOuublZNTU1SklJ6XB7VlaWKioqfNZt27ZNWVlZnZ7TbrcrLi7OZwEAAAh3AQ+7J554Qjt37lRdXZ327NmjqVOnKjIyUvn5+ZKkmTNnqqioyLv/Y489pvLycv3sZz/TJ598ouXLl2v//v0qKCgI9GgAAABGC/h77I4dO6b8/HydPHlSiYmJGjdunPbu3avExERJUn19vSIivu7JsWPH6o033tDixYv15JNP6qabblJZWRk/ww4AAMBPNsuyrFAPcaVcLpfi4+OVuuAtRdh7h3ocAACAgPG0nNHRNferqanpom8/43fFAgAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEAEPu+LiYt1+++2KjY3VgAEDNGXKFB06dKjLY0pLS2Wz2XyWmJiYQI8GAABgtICH3c6dOzV//nzt3btX27Zt07lz53TXXXfJ7XZ3eVxcXJxOnDjhXY4cORLo0QAAAIwWFegTlpeX+zwuLS3VgAEDdODAAX3729/u9Dibzabk5ORAjwMAABA2gv4eu6amJknSdddd1+V+zc3NGjhwoFJTUzV58mR9/PHHne7b0tIil8vlswAAAIS7oIadx+PRggULdMcdd2jEiBGd7jd06FBt3LhR7733nl577TV5PB6NHTtWx44d63D/4uJixcfHe5fU1NRgPQUAAIAew2ZZlhWskz/88MP6z//8T+3evVs33HDDJR937tw5DR8+XPn5+Vq1alW77S0tLWppafE+drlcSk1NVeqCtxRh7x2Q2QEAAK4GnpYzOrrmfjU1NSkuLq7LfQP+HrsLCgoKtHnzZu3atcuvqJOka665Rt/85jdVXV3d4Xa73S673R6IMQEAAIwR8JdiLctSQUGB3n33Xf3ud7/ToEGD/D5HW1ubPvzwQ6WkpAR6PAAAAGMF/I7d/Pnz9cYbb+i9995TbGysnE6nJCk+Pl69evWSJM2cOVPXX3+9iouLJUkrV67Ut771LX3jG9/QqVOn9Oyzz+rIkSN66KGHAj0eAACAsQIeduvWrZMkTZgwwWf9yy+/rNmzZ0uS6uvrFRHx9c3CL7/8UnPnzpXT6VTfvn2VkZGhPXv26JZbbgn0eAAAAMYK6ocnuovL5frq07F8eAIAABjGnw9P8LtiAQAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwRNDCrqSkRGlpaYqJiVFmZqY++OCDLvd/++23NWzYMMXExGjkyJHaunVrsEYDAAAwUlDC7s0331RhYaGWLVumgwcPatSoUcrJydHnn3/e4f579uxRfn6+5syZoz/84Q+aMmWKpkyZoo8++igY4wEAABjJZlmWFeiTZmZm6vbbb9fatWslSR6PR6mpqfrhD3+oRYsWtdt/+vTpcrvd2rx5s3fdt771LY0ePVrr16+/6PdzuVyKj49X6oK3FGHvHbgnAgAAEGKeljM6uuZ+NTU1KS4urst9A37HrrW1VQcOHFB2dvbX3yQiQtnZ2aqsrOzwmMrKSp/9JSknJ6fT/QEAANBeVKBP2NjYqLa2NiUlJfmsT0pK0ieffNLhMU6ns8P9nU5nh/u3tLSopaXF+7ipqUnSV0ULAABgkgt9cykvsgY87LpDcXGxVqxY0W79Z+tmd/8wAAAA3eD06dOKj4/vcp+Ah13//v0VGRmphoYGn/UNDQ1KTk7u8Jjk5GS/9i8qKlJhYaH3scfj0Z///Gf169dPNpvtCp8BQsHlcik1NVVHjx696PsHcPXjepqF62kermnPYlmWTp8+LYfDcdF9Ax520dHRysjIUEVFhaZMmSLpq/CqqKhQQUFBh8dkZWWpoqJCCxYs8K7btm2bsrKyOtzfbrfLbrf7rEtISAjE+AixuLg4/iVjEK6nWbie5uGa9hwXu1N3QVBeii0sLNSsWbN02223acyYMVqzZo3cbrcefPBBSdLMmTN1/fXXq7i4WJL02GOP6c4779TPfvYz3Xvvvdq0aZP279+vF198MRjjAQAAGCkoYTd9+nR98cUXWrp0qZxOp0aPHq3y8nLvByTq6+sVEfH1B3LHjh2rN954Q4sXL9aTTz6pm266SWVlZRoxYkQwxgMAADBS0D48UVBQ0OlLrzt27Gi3btq0aZo2bVqwxsFVzm63a9myZe1eYkfPxPU0C9fTPFxTcwXlBxQDAACg+wXtd8UCAACgexF2AAAAhiDsAAAADEHYoduUlJQoLS1NMTExyszM1AcffNDpvhs2bND48ePVt29f9e3bV9nZ2V3uj+7nz/X8S5s2bZLNZvP+nEtcHfy9nqdOndL8+fOVkpIiu92um2++WVu3bu2maXEx/l7PNWvWaOjQoerVq5dSU1P1+OOP6+zZs900LQLKArrBpk2brOjoaGvjxo3Wxx9/bM2dO9dKSEiwGhoaOtz/+9//vlVSUmL94Q9/sP70pz9Zs2fPtuLj461jx4518+ToiL/X84La2lrr+uuvt8aPH29Nnjy5e4bFRfl7PVtaWqzbbrvNuueee6zdu3dbtbW11o4dO6yqqqpunhwd8fd6vv7665bdbrdef/11q7a21nr//fetlJQU6/HHH+/myREIhB26xZgxY6z58+d7H7e1tVkOh8MqLi6+pOPPnz9vxcbGWq+88kqwRoQfLud6nj9/3ho7dqz1y1/+0po1axZhdxXx93quW7fOGjx4sNXa2tpdI8IP/l7P+fPnW3/7t3/rs66wsNC64447gjongoOXYhF0ra2tOnDggLKzs73rIiIilJ2drcrKyks6x5kzZ3Tu3Dldd911wRoTl+hyr+fKlSs1YMAAzZkzpzvGxCW6nOv561//WllZWZo/f76SkpI0YsQIPf3002pra+uusdGJy7meY8eO1YEDB7wv13766afaunWr7rnnnm6ZGYEVtB9QDFzQ2NiotrY2728euSApKUmffPLJJZ1j4cKFcjgcPv+yQmhczvXcvXu3XnrpJVVVVXXDhPDH5VzPTz/9VL/73e80Y8YMbd26VdXV1XrkkUd07tw5LVu2rDvGRicu53p+//vfV2Njo8aNGyfLsnT+/Hn98z//s5588snuGBkBxh07XPVWr16tTZs26d1331VMTEyox4GfTp8+rQceeEAbNmxQ//79Qz0OAsDj8WjAgAF68cUXlZGRoenTp+snP/mJ1q9fH+rRcBl27Nihp59+Wr/4xS908OBBvfPOO9qyZYtWrVoV6tFwGbhjh6Dr37+/IiMj1dDQ4LO+oaFBycnJXR77r//6r1q9erW2b9+u9PT0YI6JS+Tv9aypqVFdXZ3y8vK86zwejyQpKipKhw4d0pAhQ4I7NDp1OX8/U1JSdM011ygyMtK7bvjw4XI6nWptbVV0dHRQZ0bnLud6LlmyRA888IAeeughSdLIkSPldrs1b948/eQnP/H53e64+nG1EHTR0dHKyMhQRUWFd53H41FFRYWysrI6Pe6ZZ57RqlWrVF5erttuu607RsUl8Pd6Dhs2TB9++KGqqqq8y3e/+11NnDhRVVVVSk1N7c7x8Vcu5+/nHXfcoerqam+gS9L//u//KiUlhagLscu5nmfOnGkXbxei3eK3jvY8of70BsLDpk2bLLvdbpWWllp//OMfrXnz5lkJCQmW0+m0LMuyHnjgAWvRokXe/VevXm1FR0db//7v/26dOHHCu5w+fTpUTwF/wd/r+df4VOzVxd/rWV9fb8XGxloFBQXWoUOHrM2bN1sDBgywnnrqqVA9BfwFf6/nsmXLrNjYWOtXv/qV9emnn1q//e1vrSFDhlj3339/qJ4CrgAvxaJbTJ8+XV988YWWLl0qp9Op0aNHq7y83PsG3/r6ep//Y1y3bp1aW1t13333+Zxn2bJlWr58eXeOjg74ez1xdfP3eqampur999/X448/rvT0dF1//fV67LHHtHDhwlA9BfwFf6/n4sWLZbPZtHjxYn322WdKTExUXl6e/uVf/iVUTwFXwGZZ3GcFAAAwAf9LDQAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAlyEtLU1r1qwJ9RgA4IOwA4DL8Pvf/17z5s27pH0ty9LSpUuVkpKiXr16KTs7W4cPHw7yhADCEWEHAJchMTFRvXv3vqR9n3nmGT3//PNav3699u3bpz59+ignJ0dnz54N8pQAwg1hByAslZeXa9y4cUpISFC/fv30ne98RzU1NZKkV199Vddee63PXbVHHnlEw4YN05kzZyT5vhRrWZaWL1+uG2+8UXa7XQ6HQ48++qh325o1a7R48WJNnjxZ6enpevXVV3X8+HGVlZV163MGYD7CDkBYcrvdKiws1P79+1VRUaGIiAhNnTpVHo9HM2fO1D333KMZM2bo/Pnz2rJli375y1/q9ddf7/Au3X/8x3/oueee0wsvvKDDhw+rrKxMI0eOlCTV1tbK6XQqOzvbu398fLwyMzNVWVnZbc8XQHiICvUAABAK3/ve93web9y4UYmJifrjH/+oESNG6IUXXlB6eroeffRRvfPOO1q+fLkyMjI6PFd9fb2Sk5OVnZ2ta665RjfeeKPGjBkjSXI6nZKkpKQkn2OSkpK82wAgULhjByAsHT58WPn5+Ro8eLDi4uKUlpYm6atIk6S+ffvqpZde0rp16zRkyBAtWrSo03NNmzZN//d//6fBgwdr7ty5evfdd3X+/PnueBoA4IOwAxCW8vLy9Oc//1kbNmzQvn37tG/fPklSa2urd59du3YpMjJSJ06ckNvt7vRcqampOnTokH7xi1+oV69eeuSRR/Ttb39b586dU3JysiSpoaHB55iGhgbvNgAIFMIOQNg5efKkDh06pMWLF2vSpEkaPny4vvzyS5999uzZo5/+9Kf6zW9+o2uvvVYFBQVdnrNXr17Ky8vT888/rx07dqiyslIffvihBg0apOTkZFVUVHj3dblc2rdvn7KysoLy/ACEL95jByDs9O3bV/369dOLL76olJQU1dfX+7zUevr0aT3wwAN69NFHlZubqxtuuEG333678vLydN9997U7X2lpqdra2pSZmanevXvrtddeU69evTRw4EDZbDYtWLBATz31lG666SYNGjRIS5YskcPh0JQpU7rxWQMIB9yxAxB2IiIitGnTJh04cEAjRozQ448/rmeffda7/bHHHlOfPn309NNPS5JGjhypp59+Wv/0T/+kzz77rN35EhIStGHDBt1xxx1KT0/X9u3b9Zvf/Eb9+vWTJP34xz/WD3/4Q82bN0+33367mpubVV5erpiYmO55wgDChs2yLCvUQwAAAODKcccOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIb4f/hRxIF+mhbqAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {},
     "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "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": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "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
}