{
 "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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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "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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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": {
      "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}