{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Binning in physt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Necessary import evil\n",
    "from physt import h1, binnings\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Some data\n",
    "np.random.seed(42)\n",
    "\n",
    "heights1 = np.random.normal(169, 10, 100000)\n",
    "heights2 = np.random.normal(180, 6, 100000)\n",
    "numbers = np.random.rand(100000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ideal number of bins"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = [int(x) for x in np.logspace(0, 4, 50)]\n",
    "\n",
    "algos = binnings.bincount_methods\n",
    "Ys = { algo: [] for algo in algos}\n",
    "\n",
    "for x in X:\n",
    "    ex_dataset = np.random.exponential(1, x)\n",
    "    for algo in algos:\n",
    "        Ys[algo].append(binnings.ideal_bin_count(ex_dataset, algo))\n",
    "\n",
    "figure, axis = plt.subplots(figsize=(8, 8))\n",
    "for algo in algos:\n",
    "    if algo == \"default\":\n",
    "        axis.plot(X, Ys[algo], \":.\", label=algo, alpha=0.5, lw=2)\n",
    "    else:\n",
    "        axis.plot(X, Ys[algo], \"-\", label=algo, alpha=0.5, lw=2)\n",
    "axis.set_xscale(\"log\")\n",
    "axis.set_yscale(\"log\")\n",
    "axis.set_xlabel(\"Sample size\")\n",
    "axis.set_ylabel(\"Bin count\")\n",
    "axis.legend(loc=2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Binning schemes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exponential binning\n",
    "\n",
    "Uses numpy.logscale to create bins."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure, axis = plt.subplots(1, 2, figsize=(10, 4))\n",
    "hist1 = h1(numbers, \"exponential\", bin_count=10, range=(0.0001, 1))\n",
    "hist1.plot(color=\"green\", ax=axis[0])\n",
    "hist1.plot(density=True, errors=True, ax=axis[1])\n",
    "axis[0].set_title(\"Absolute scale\")\n",
    "axis[1].set_title(\"Log scale\")\n",
    "axis[1].set_xscale(\"log\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Integer binning\n",
    "\n",
    "Useful for integer values (or something you want to round to integers), creates bins of width=1 around integers (i.e. 0.5-1.5, ...)"
   ]
  },
  {
   "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": [
    "# Sum of two dice (should be triangle, right?)\n",
    "dice = np.floor(np.random.rand(10000) * 6) + np.floor(np.random.rand(10000) * 6) + 2\n",
    "h1(dice, \"integer\").plot(ticks=\"center\", density=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Quantile-based binning\n",
    "\n",
    "Based on quantiles, this binning results in all bins containing roughly the same amount \n",
    "of observances."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Histogram1D(bins=(40,), total=100000, dtype=int32)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure, axis = plt.subplots(1, 2, figsize=(10, 4))\n",
    "hist2 = h1(heights1, \"quantile\", bin_count=40)\n",
    "hist2.plot(ax=axis[0]);\n",
    "hist2.plot(density=True, ax=axis[1]);\n",
    "axis[0].set_title(\"Frequencies\")\n",
    "axis[1].set_title(\"Density\");\n",
    "hist2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure, axis = plt.subplots()\n",
    "\n",
    "h1(heights1, \"quantile\", bin_count=10).plot(alpha=0.3, density=True, ax=axis, label=\"Quantile based\")\n",
    "h1(heights1, 10).plot(alpha=0.3, density=True, ax=axis, color=\"green\", label=\"Equal spaced\")\n",
    "axis.legend(loc=2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fixed-width bins\n",
    "\n",
    "This binning is useful if you want \"human-friendly\" bin intervals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Histogram1D(bins=(31,), total=100000, dtype=int32)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist_fixed = h1(heights1, \"fixed_width\", bin_width=3)\n",
    "hist_fixed.plot()\n",
    "hist_fixed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pretty bins\n",
    "\n",
    "The width and alignment of bins is guessed from the data with an approximate number of bins as (optional) parameter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Histogram1D(bins=(19,), total=100000, dtype=int32)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pretty = h1(heights1, \"pretty\", bin_count=15)\n",
    "pretty.plot()\n",
    "pretty"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Astropy binning\n",
    "\n",
    "Astropy includes its histogramming tools. If this package is available, we reuse its binning\n",
    "methods. These include:\n",
    "\n",
    "* Bayesian blocks\n",
    "* Knuth\n",
    "* Freedman\n",
    "* Scott\n",
    "\n",
    "See <http://docs.astropy.org/en/stable/visualization/histogram.html> for more details."
   ]
  },
  {
   "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"
    },
    {
     "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"
    },
    {
     "data": {
      "image/png": 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HAABgAEIdAACAAQh1AAAABiDUAQAAGIB16gDDsS4ZAAQHZuoAAAAMQKgDAAAwAKEOAADAAIQ6AAAAAxDqAAAADECoAwAAMAChDgAAwACEOgAAAAMQ6gAAAAxAqAMAADAAoQ4AAMAAhDoAAAADEOoAAAAMQKgDAAAwQEChLj8/X4MHD1aXLl0UFxensWPHqqSkxK/NpUuXlJ2dra5du6pz587KyspSRUWFX5vS0lJlZmYqOjpacXFxmjVrlurq6m68NwAAAEEqoFBXUFCg7Oxs7du3T9u3b1dtba1GjBihqqoqu83MmTO1ceNGrV27VgUFBSorK9O4cePs8/X19crMzFRNTY327t2rVatWaeXKlZo3b17z9QoAACDIhFiWZTX1xWfOnFFcXJwKCgo0dOhQeb1ede/eXWvWrNGjjz4qSfr888/Vr18/FRYWasiQIdqyZYsefvhhlZWVKT4+XpK0fPlyzZ49W2fOnFFERMQ139fn88npdMrr9crhcDS1fCAo9J6zua1LQBA5tTCzrUsAjHO9ueeGnqnzer2SpNjYWElScXGxamtrlZaWZrfp27evkpKSVFhYKEkqLCzUgAED7EAnSenp6fL5fDp69Gij71NdXS2fz+e3AQAA4DtNDnUNDQ2aMWOGHnjgAfXv31+S5PF4FBERoZiYGL+28fHx8ng8dps/D3SXz18+15j8/Hw5nU57S0xMbGrZAAAARmpyqMvOztaRI0f0/vvvN2c9jcrLy5PX67W306dPt/h7AgAAtCcdmvKinJwcbdq0SXv27FHPnj3t4y6XSzU1NTp//rzfbF1FRYVcLpfd5re//a3f9S5/OvZym78UGRmpyMjIppQKAAAQFAKaqbMsSzk5OVq/fr127typPn36+J0fNGiQwsPDtWPHDvtYSUmJSktL5Xa7JUlut1uHDx9WZWWl3Wb79u1yOBxKTk6+kb4AAAAErYBm6rKzs7VmzRp9+OGH6tKli/0MnNPpVFRUlJxOp6ZMmaLc3FzFxsbK4XDo6aefltvt1pAhQyRJI0aMUHJysiZOnKhFixbJ4/Fo7ty5ys7OZjYOAACgiQIKdcuWLZMkDRs2zO/4ihUr9Pjjj0uSXnnlFYWGhiorK0vV1dVKT0/XG2+8YbcNCwvTpk2bNH36dLndbnXq1EmTJ0/WggULbqwnAAAAQeyG1qlrK6xTB1w/1qlDa2KdOqD5tco6dQAAALg5EOoAAAAM0KQlTQC0HW6nAgAaw0wdAACAAQh1AAAABiDUAQAAGIBn6oA2xjNyAIDmwEwdAACAAQh1AAAABiDUAQAAGIBQBwAAYABCHQAAgAEIdQAAAAYg1AEAABiAUAcAAGAAQh0AAIABCHUAAAAGINQBAAAYgFAHAABgAEIdAACAAQh1AAAABiDUAQAAGIBQBwAAYABCHQAAgAEIdQAAAAYg1AEAABiAUAcAAGAAQh0AAIABCHUAAAAGINQBAAAYgFAHAABgAEIdAACAAQh1AAAABiDUAQAAGIBQBwAAYABCHQAAgAEIdQAAAAYg1AEAABiAUAcAAGAAQh0AAIABCHUAAAAGINQBAAAYIOBQt2fPHo0ePVoJCQkKCQnRhg0b/M4//vjjCgkJ8dtGjhzp1+bcuXOaMGGCHA6HYmJiNGXKFF28ePGGOgIAABDMOgT6gqqqKg0cOFB///d/r3HjxjXaZuTIkVqxYoW9HxkZ6Xd+woQJKi8v1/bt21VbW6snnnhC06ZN05o1awItBwBwE+k9Z3NA7U8tzGyhSoDgE3Coy8jIUEZGxve2iYyMlMvlavTc8ePHtXXrVn322We67777JElLly7VqFGj9PLLLyshISHQkgAAAIJeizxTt3v3bsXFxemuu+7S9OnTdfbsWftcYWGhYmJi7EAnSWlpaQoNDVVRUVGj16uurpbP5/PbAAAA8J1mD3UjR47Ue++9px07duill15SQUGBMjIyVF9fL0nyeDyKi4vze02HDh0UGxsrj8fT6DXz8/PldDrtLTExsbnLBgAAaNcCvv16LY899pj984ABA5SSkqLbbrtNu3fv1vDhw5t0zby8POXm5tr7Pp+PYAcAAPBnWnxJk1tvvVXdunXTF198IUlyuVyqrKz0a1NXV6dz585d9Tm8yMhIORwOvw0AAADfafFQ99VXX+ns2bPq0aOHJMntduv8+fMqLi622+zcuVMNDQ1KTU1t6XIAAACMFPDt14sXL9qzbpL05Zdf6uDBg4qNjVVsbKzmz5+vrKwsuVwunTx5Us8++6xuv/12paenS5L69eunkSNHaurUqVq+fLlqa2uVk5Ojxx57jE++AgAANFHAM3X79+/Xvffeq3vvvVeSlJubq3vvvVfz5s1TWFiYDh06pB/96Ee68847NWXKFA0aNEiffPKJ31p1q1evVt++fTV8+HCNGjVKDz74oN56663m6xUAAECQCXimbtiwYbIs66rnt23bds1rxMbGstAwAABAM+K7XwEAAAxAqAMAADAAoQ4AAMAAhDoAAAADEOoAAAAMQKgDAAAwAKEOAADAAIQ6AAAAAxDqAAAADECoAwAAMAChDgAAwACEOgAAAAMQ6gAAAAxAqAMAADBAh7YuAAAQvHrP2RxQ+1MLM1uoEqD9Y6YOAADAAIQ6AAAAAxDqAAAADECoAwAAMAChDgAAwACEOgAAAAOwpAnQzAJdogEAgObATB0AAIABCHUAAAAGINQBAAAYgFAHAABgAEIdAACAAQh1AAAABiDUAQAAGIBQBwAAYABCHQAAgAEIdQAAAAYg1AEAABiAUAcAAGAAQh0AAIABCHUAAAAGINQBAAAYgFAHAABggA5tXQAAANer95zNAbU/tTCzhSoBbj7M1AEAABiAUAcAAGAAQh0AAIABAg51e/bs0ejRo5WQkKCQkBBt2LDB77xlWZo3b5569OihqKgopaWl6cSJE35tzp07pwkTJsjhcCgmJkZTpkzRxYsXb6gjAAAAwSzgUFdVVaWBAwfq9ddfb/T8okWL9Nprr2n58uUqKipSp06dlJ6erkuXLtltJkyYoKNHj2r79u3atGmT9uzZo2nTpjW9FwAAAEEu4E+/ZmRkKCMjo9FzlmVpyZIlmjt3rsaMGSNJeu+99xQfH68NGzboscce0/Hjx7V161Z99tlnuu+++yRJS5cu1ahRo/Tyyy8rISHhBroDAAAQnJr1mbovv/xSHo9HaWlp9jGn06nU1FQVFhZKkgoLCxUTE2MHOklKS0tTaGioioqKGr1udXW1fD6f3wYAAIDvNGuo83g8kqT4+Hi/4/Hx8fY5j8ejuLg4v/MdOnRQbGys3eYv5efny+l02ltiYmJzlg0AANDutYtPv+bl5cnr9drb6dOn27okAACAm0qzhjqXyyVJqqio8DteUVFhn3O5XKqsrPQ7X1dXp3Pnztlt/lJkZKQcDoffBgAAgO80a6jr06ePXC6XduzYYR/z+XwqKiqS2+2WJLndbp0/f17FxcV2m507d6qhoUGpqanNWQ4AAEDQCPjTrxcvXtQXX3xh73/55Zc6ePCgYmNjlZSUpBkzZugXv/iF7rjjDvXp00fPPfecEhISNHbsWElSv379NHLkSE2dOlXLly9XbW2tcnJy9Nhjj/HJVwAAgCYKONTt379ff/u3f2vv5+bmSpImT56slStX6tlnn1VVVZWmTZum8+fP68EHH9TWrVvVsWNH+zWrV69WTk6Ohg8frtDQUGVlZem1115rhu4AAAAEpxDLsqy2LiJQPp9PTqdTXq+X5+tw0+k9Z3NblwDgT04tzGzrEoAbdr25J+CZOiAYEdQAADc7Qh0AwFiB/kHGzB7as3axTh0AAAC+H6EOAADAAIQ6AAAAAxDqAAAADECoAwAAMAChDgAAwACEOgAAAAMQ6gAAAAxAqAMAADAAoQ4AAMAAhDoAAAADEOoAAAAMQKgDAAAwAKEOAADAAIQ6AAAAA3Ro6wKAttB7zua2LgEAgGZFqAMA4E8C/YPv1MLMFqoECBy3XwEAAAxAqAMAADAAoQ4AAMAAhDoAAAADEOoAAAAMQKgDAAAwAKEOAADAAIQ6AAAAAxDqAAAADECoAwAAMAChDgAAwACEOgAAAAN0aOsCgOYQ6JdwAwBgGmbqAAAADECoAwAAMAChDgAAwACEOgAAAAMQ6gAAAAxAqAMAADAAoQ4AAMAAhDoAAAADEOoAAAAMQKgDAAAwQLOHuhdeeEEhISF+W9++fe3zly5dUnZ2trp27arOnTsrKytLFRUVzV0GAABAUGmRmbq7775b5eXl9vbpp5/a52bOnKmNGzdq7dq1KigoUFlZmcaNG9cSZQAAAASNDi1y0Q4d5HK5rjju9Xr1zjvvaM2aNXrooYckSStWrFC/fv20b98+DRkypCXKAQAAMF6LhLoTJ04oISFBHTt2lNvtVn5+vpKSklRcXKza2lqlpaXZbfv27aukpCQVFhYS6gAA7UrvOZsDan9qYWYLVQK0QKhLTU3VypUrddddd6m8vFzz58/X3/zN3+jIkSPyeDyKiIhQTEyM32vi4+Pl8Xiues3q6mpVV1fb+z6fr7nLBgAAaNeaPdRlZGTYP6ekpCg1NVW9evXSr371K0VFRTXpmvn5+Zo/f35zlQgAAGCcFl/SJCYmRnfeeae++OILuVwu1dTU6Pz5835tKioqGn0G77K8vDx5vV57O336dAtXDQAA0L60eKi7ePGiTp48qR49emjQoEEKDw/Xjh077PMlJSUqLS2V2+2+6jUiIyPlcDj8NgAAAHyn2W+//tM//ZNGjx6tXr16qaysTM8//7zCwsI0fvx4OZ1OTZkyRbm5uYqNjZXD4dDTTz8tt9vNhyTgJ9CHjwEACHbNHuq++uorjR8/XmfPnlX37t314IMPat++ferevbsk6ZVXXlFoaKiysrJUXV2t9PR0vfHGG81dBgAAQFAJsSzLausiAuXz+eR0OuX1erkVayhm6gCYiCVN0BTXm3v47lcAAAADEOoAAAAMQKgDAAAwAKEOAADAAIQ6AAAAAxDqAAAADECoAwAAMAChDgAAwACEOgAAAAMQ6gAAAAxAqAMAADBAh7YuAACAYBHI91rzPbEIFKEOrSKQf8gAAEDguP0KAABgAEIdAACAAQh1AAAABiDUAQAAGIBQBwAAYABCHQAAgAEIdQAAAAYg1AEAABiAUAcAAGAAQh0AAIABCHUAAAAG4Ltf0SR8lysAADcXZuoAAAAMQKgDAAAwAKEOAADAAIQ6AAAAA/BBCQAAbkKBfiDt1MLMFqoE7QUzdQAAAAYg1AEAABiA26+QxLpzANDecbsWzNQBAAAYgJk6QzHzBgBAcGGmDgAAwADM1AEAEIR4Bs88zNQBAAAYgFAHAABgAG6/NhOmsQEAQFsi1AEAgGti8uLmx+1XAAAAA7TZTN3rr7+uxYsXy+PxaODAgVq6dKnuv//+tirnpse6cwAA4Pu0yUzdBx98oNzcXD3//PP6n//5Hw0cOFDp6emqrKxsi3IAAADavRDLsqzWftPU1FQNHjxY//Ef/yFJamhoUGJiop5++mnNmTPnmq/3+XxyOp3yer1yOBzX9Z4t/SwAM2kAAHznZvv/aHt+xu96c0+rz9TV1NSouLhYaWlp3xURGqq0tDQVFha2djkAAABGaPVn6v7v//5P9fX1io+P9zseHx+vzz//vNHXVFdXq7q62t73er2SpOQ56xUaGd0idSbNXNsi1wUAIBjcbP8fDbSeI/PTA2rf//ltAbUPREP1N5Kka91cbRdLmuTn52v+/PlXHP962eOtXwwAADCec0lbV3ClCxcuyOl0XvV8q4e6bt26KSwsTBUVFX7HKyoq5HK5Gn1NXl6ecnNz7f2GhgadO3dOXbt2VUhISIvU6fP5lJiYqNOnT1/3c3to/xj34MS4ByfGPTi1x3G3LEsXLlxQQkLC97Zr9VAXERGhQYMGaceOHRo7dqykP4a0HTt2KCcnp9HXREZGKjIy0u9YTExMC1f6Rw6Ho90MOpoP4x6cGPfgxLgHp/Y27t83Q3dZm9x+zc3N1eTJk3Xffffp/vvv15IlS1RVVaUnnniiLcoBAABo99ok1P34xz/WmTNnNG/ePHk8Ht1zzz3aunXrFR+eAAAAwPVpsw9K5OTkXPV2680gMjJSzz///BW3fWE2xj04Me7BiXEPTiaPe5ssPgwAAIDm1SZfEwYAAIDmRagDAAAwAKEOAADAAEEV6vbs2aPRo0crISFBISEh2rBhwxVtjh8/rh/96EdyOp3q1KmTBg8erNLSUvv8pUuXlJ2dra5du6pz587Kysq6YiFl3FyuNe4hISGNbosXL7bbnDt3ThMmTJDD4VBMTIymTJmiixcvtnJPEIhrjfvFixeVk5Ojnj17KioqSsnJyVq+fLlfG37f259rjXtFRYUef/xxJSQkKDo6WiNHjtSJEyf82jDu7U9+fr4GDx6sLl26KC4uTmPHjlVJSYlfm+sZ19LSUmVmZio6OlpxcXGaNWuW6urqWrMrNySoQl1VVZUGDhyo119/vdHzJ0+e1IMPPqi+fftq9+7dOnTokJ577jl17NjRbjNz5kxt3LhRa9euVUFBgcrKyjRu3LjW6gKa4FrjXl5e7re9++67CgkJUVZWlt1mwoQJOnr0qLZv365NmzZpz549mjZtWmt1AU1wrXHPzc3V1q1b9ctf/lLHjx/XjBkzlJOTo48++shuw+97+/N9425ZlsaOHavf//73+vDDD3XgwAH16tVLaWlpqqqqstsx7u1PQUGBsrOztW/fPm3fvl21tbUaMWJEQONaX1+vzMxM1dTUaO/evVq1apVWrlypefPmtUWXmsYKUpKs9evX+x378Y9/bP30pz+96mvOnz9vhYeHW2vXrrWPHT9+3JJkFRYWtlSpaEaNjftfGjNmjPXQQw/Z+8eOHbMkWZ999pl9bMuWLVZISIj19ddft1SpaEaNjfvdd99tLViwwO/YX/3VX1n//M//bFkWv+8m+MtxLykpsSRZR44csY/V19db3bt3t95++23Lshh3U1RWVlqSrIKCAsuyrm9cf/3rX1uhoaGWx+Ox2yxbtsxyOBxWdXV163agiYJqpu77NDQ0aPPmzbrzzjuVnp6uuLg4paam+k3dFxcXq7a2Vmlpafaxvn37KikpSYWFhW1QNZpbRUWFNm/erClTptjHCgsLFRMTo/vuu88+lpaWptDQUBUVFbVFmWgGf/3Xf62PPvpIX3/9tSzL0q5du/S73/1OI0aMkMTvu4mqq6slye/uS2hoqCIjI/Xpp59KYtxN4fV6JUmxsbGSrm9cCwsLNWDAAL8vQkhPT5fP59PRo0dbsfqmI9T9SWVlpS5evKiFCxdq5MiR+s1vfqNHHnlE48aNU0FBgSTJ4/EoIiLiiu+djY+Pl8fjaYOq0dxWrVqlLl26+E3JezwexcXF+bXr0KGDYmNjGfd2bOnSpUpOTlbPnj0VERGhkSNH6vXXX9fQoUMl8ftuosv/E8/Ly9Mf/vAH1dTU6KWXXtJXX32l8vJySYy7CRoaGjRjxgw98MAD6t+/v6TrG1ePx3PFN1td3m8vY99m3yhxs2loaJAkjRkzRjNnzpQk3XPPPdq7d6+WL1+uH/zgB21ZHlrJu+++qwkTJvj9JQ8zLV26VPv27dNHH32kXr16ac+ePcrOzlZCQoLfX/MwR3h4uNatW6cpU6YoNjZWYWFhSktLU0ZGhizW4TdGdna2jhw5Ys++BhNC3Z9069ZNHTp0UHJyst/xfv362f9huFwu1dTU6Pz5835pv6KiQi6XqzXLRQv45JNPVFJSog8++MDvuMvlUmVlpd+xuro6nTt3jnFvp7799lv9/Oc/1/r165WZmSlJSklJ0cGDB/Xyyy8rLS2N33dDDRo0SAcPHpTX61VNTY26d++u1NRU+/EKxr19y8nJsT/M1rNnT/v49Yyry+XSb3/7W7/rXf50bHsZe26//klERIQGDx58xUegf/e736lXr16S/viPQXh4uHbs2GGfLykpUWlpqdxud6vWi+b3zjvvaNCgQRo4cKDfcbfbrfPnz6u4uNg+tnPnTjU0NCg1NbW1y0QzqK2tVW1trUJD/f8JDAsLs2ft+X03m9PpVPfu3XXixAnt379fY8aMkcS4t1eWZSknJ0fr16/Xzp071adPH7/z1zOubrdbhw8f9vsjfvv27XI4HFdM+Ny02viDGq3qwoUL1oEDB6wDBw5Ykqx///d/tw4cOGD97//+r2VZlrVu3TorPDzceuutt6wTJ05YS5cutcLCwqxPPvnEvsaTTz5pJSUlWTt37rT2799vud1uy+12t1WXcB2uNe6WZVler9eKjo62li1b1ug1Ro4cad17771WUVGR9emnn1p33HGHNX78+NbqAprgWuP+gx/8wLr77rutXbt2Wb///e+tFStWWB07drTeeOMN+xr8vrc/1xr3X/3qV9auXbuskydPWhs2bLB69epljRs3zu8ajHv7M336dMvpdFq7d++2ysvL7e2bb76x21xrXOvq6qz+/ftbI0aMsA4ePGht3brV6t69u5WXl9cWXWqSoAp1u3btsiRdsU2ePNlu884771i333671bFjR2vgwIHWhg0b/K7x7bffWk899ZR1yy23WNHR0dYjjzxilZeXt3JPEIjrGfc333zTioqKss6fP9/oNc6ePWuNHz/e6ty5s+VwOKwnnnjCunDhQiv1AE1xrXEvLy+3Hn/8cSshIcHq2LGjddddd1n/9m//ZjU0NNjX4Pe9/bnWuL/66qtWz549rfDwcCspKcmaO3fuFctVMO7tT2NjLslasWKF3eZ6xvXUqVNWRkaGFRUVZXXr1s362c9+ZtXW1rZyb5ouxLJ4OhQAAKC945k6AAAAAxDqAAAADECoAwAAMAChDgAAwACEOgAAAAMQ6gAAAAxAqAMAADAAoQ4AAMAAhDoACEDv3r21ZMmSti4DAK5AqAOAAHz22WeaNm3adbW1LEvz5s1Tjx49FBUVpbS0NJ04caKFKwQQrAh1ABCA7t27Kzo6+rraLlq0SK+99pqWL1+uoqIiderUSenp6bp06VILVwkgGBHqAASVrVu36sEHH1RMTIy6du2qhx9+WCdPnpQkvffee+rcubPfbNpTTz2lvn376ptvvpHkf/vVsiy98MILSkpKUmRkpBISEvTMM8/Y55YsWaK5c+dqzJgxSklJ0XvvvaeysjJt2LChVfsMIDgQ6gAElaqqKuXm5mr//v3asWOHQkND9cgjj6ihoUGTJk3SqFGjNGHCBNXV1Wnz5s36z//8T61evbrR2bn//u//1iuvvKI333xTJ06c0IYNGzRgwABJ0pdffimPx6O0tDS7vdPpVGpqqgoLC1utvwCCR4e2LgAAWlNWVpbf/rvvvqvu3bvr2LFj6t+/v958802lpKTomWee0bp16/TCCy9o0KBBjV6rtLRULpdLaWlpCg8PV1JSku6//35JksfjkSTFx8f7vSY+Pt4+BwDNiZk6AEHlxIkTGj9+vG699VY5HA717t1b0h8DmiTdcssteuedd7Rs2TLddtttmjNnzlWv9Xd/93f69ttvdeutt2rq1Klav3696urqWqMbAHAFQh2AoDJ69GidO3dOb7/9toqKilRUVCRJqqmpsdvs2bNHYWFhKi8vV1VV1VWvlZiYqJKSEr3xxhuKiorSU089paFDh6q2tlYul0uSVFFR4feaiooK+xwANCdCHYCgcfbsWZWUlGju3LkaPny4+vXrpz/84Q9+bfbu3auXXnpJGzduVOfOnZWTk/O914yKitLo0aP12muvaffu3SosLNThw4fVp08fuVwu7dixw27r8/lUVFQkt9vdIv0DENx4pg5A0LjlllvUtWtXvfXWW+rRo4dKS0v9bq9euHBBEydO1DPPPKOMjAz17NlTgwcP1ujRo/Xoo49ecb2VK1eqvr5eqampio6O1i9/+UtFRUWpV69eCgkJ0YwZM/SLX/xCd9xxh/r06aPnnntOCQkJGjt2bCv2GkCwYKYOQNAIDQ3V+++/r+LiYvXv318zZ87U4sWL7fP/+I//qE6dOunFF1+UJA0YMEAvvvii/uEf/kFff/31FdeLiYnR22+/rQceeEApKSn6+OOPtXHjRnXt2lWS9Oyzz+rpp5/WtGnTNHjwYF28eFFbt25Vx44dW6fDAIJKiGVZVlsXAQAAgBvDTB0AAIABCHUAAAAGINQBAAAYgFAHAABgAEIdAACAAQh1AAAABiDUAQAAGIBQBwAAYABCHQAAgAEIdQAAAAYg1AEAABiAUAcAAGCA/wf31YHk0p0gLgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "middle_sized = np.random.normal(180, 6, 5000)\n",
    "\n",
    "for n in [\"blocks\", \"scott\", \"knuth\", \"freedman\"]:\n",
    "    algo = \"{0}\".format(n)\n",
    "    hist = h1(middle_sized, algo, name=algo)\n",
    "    hist.plot(density=True)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "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
}