{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Getting Started With Histlite"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this brief tutorial, we introduce the basics of creating, manipulating, and plotting histograms using histlite.\n",
    "\n",
    ".. contents:: :local:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "import histlite as hl\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First histogram"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For our first histogram, let's use some normally-distributed random data and default binning in one dimension:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.random.normal(size=10**4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = hl.hist(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hl.plot1d(ax, h)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We immediately notice that for this type of data, it may be useful to select symmetric binning including a central bin at 0:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = hl.hist(x, bins=51, range=(-5, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jR/w9FQAAAMP5Hb5uvfXWa+5ramrS6NGj1b9//3bzttzv3XPBUlJS9MUXX3hC2bfrrp4v9l1iY2OVmJjoeQ0fPtzfUwEAADCc3+Hr7rvv1pdffqnjx497tn355Zf66KOPNGHCBEVFRSkzM7Pdml52u12pqakaOXKkJCk7O1v9+vXT1q1bPTVOp1M7d+7UzJkzu3Y2AAAAQc7vOV/333+/Jk6cqDlz5uj5559XdHS0XnjhBUVFRWnp0qWSpGeeeUZTp07V0qVLlZubq71792rTpk2y2+2e4yQmJmrhwoVavny5wsPDlZCQoHXr1mnQoEF65JFHuu8MAQAAgojf4atfv34qKyvT448/rkceeUQtLS268847tW/fPg0bNkySdMcdd2jbtm16+umnZbPZNGLECL3xxhvt1v56+eWXdcMNN+jJJ5/U3/72N91+++3atWuXBg0a1D1nBwAAEGT8Dl+SNGTIEL399tsd1tx777269957O6yJiorS+vXrtX79+q60ASCINbtadbG26Zr7K50NBnYDAMGjS+ELADrS7GpV1voPVFXbGOhWeq3Owmm82aSoiHCDugHQnQhfALrdxdomn4NXgjla8WZTD3fU+zxk63j5nARztPYsm0IAA3ohwheAHvV2froSLQOuuZ8RnP8XbzYpwRztU3Ctqm3UxdomjRoSY0BnALoT4QtAj0q0DCAg+CgqIlx7lk3pdK5cZ6NiAIIb4QsAgkhURDhhFQhxfi+yCgAAgK4jfAEAABiI8AUAAGAgwhcAAICBCF8AAAAGInwBAAAYiPAFAABgIMIXAACAgQhfAAAABiJ8AQAAGIjwBQAAYCDCFwAAgIEIXwAAAAYifAEAABiI8AUAAGAgwhcAAICBCF8AAAAGInwBAAAYiPAFAABgIMIXAACAgQhfAAAABiJ8AQAAGIjwBQAAYCDCFwAAgIEIXwAAAAYifAEAABiI8AUAAGCgiEA3AADomkpnQ6c18WaToiLCDegGgK8IXwDQSz1kO9JpTYI5WnuWTSGAAUHE78uOv/3tbxUWFtbu9eSTT3rV2Ww2JScny2Qyady4cdqxY0e7Y9XV1Sk/P19xcXEaOHCg5syZo+rq6q6fDQCEuHizSQnmaJ/rq2obdbG2qQc7AuCvLo98vffeexo0aJDnfUJCgud/b968WYsWLdKKFSuUlZUlu92uWbNmaf/+/Zo8ebKnLi8vTydPntTGjRtlMpm0YsUK5eTk6OjRo4qIYFAOAK4WFRGuPcumdBqoKp0NPo2MATBelxPOhAkTNGTIkO/ct3LlSs2dO1dr166VJGVmZuqTTz7RmjVrVFZWJkk6ePCgKioqVFFRoezsbEmS1WpVamqqtm3bptzc3K62BqAHNbtaffoPP3pOVES4Rg2JCXQbALqo24eXzp07pzNnzujFF1/02j537lwtX75czc3NioqKUnl5ucxms6ZPn+6psVqtSktLU1lZGeELCELNrlZlrf9AVbWNgW4FAHqtLi81ceuttyo8PFxJSUl64YUX1NraKklyOBySpJSUFK/61NRUtbS06Pz58546q9WqsLCwdnXuYwAILhdrm/wKXgnmaMWbTT3YEQD0Pn6PfA0fPlyrV6/WpEmTFBYWpnfffVdPP/20qqqq9Morr8jpdEqSzGaz1+csFoskqaamRpLkdDrb1bjr3DUdqa+vV319vec9E/UBY72dn65Ey4AOa1jmAADa8zt8zZgxQzNmzPC8z87OVnR0tH79619rxYoV3dpcR4qLi7V69WrDfh4Ab4mWAcw7AoAu6JYV7nNzc9Xa2qrjx497Rrjq6uq8atwjYnFxcZK+GeG6usZd567pSEFBgS5cuOB5HTnCXT0AACD4dfuEe/dcL/ecLjeHw6HIyEglJSV56nbt2qW2tjaveV8Oh0Njxozp9OfExsYqNja2m7sHAADoWd0y8rV582aFh4dr/PjxSkpKUnJyskpKSrxq7Ha7pk2bpsjISElSTk6OnE6ndu/e7ak5c+aMjh07ppkzZ3ZHWwAAAEGnS3O+srKyPKNT7777rn7zm9/oZz/7mYYNGyZJWrVqlebPn6/Ro0crMzNTdrtdhw8f1r59+zzHycjI0IwZM7RgwQIVFRV5FlkdO3asZs+e3U2nBwAAEFz8Dl8pKSmy2WyqrKzUlStXlJycrJdeekmPPvqop2bevHlqaGhQYWGhCgsLZbVaVVpaqoyMDK9j2e12FRQUaPHixXK5XMrOztaGDRtY3R4AAIQsv1POyy+/rJdffrnTuvz8fOXn53dYM2jQINlsNtlsNn/bAAAA6JW6Zc4XAAAAfEP4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwEOELAADAQNcdvi5fvqzExESFhYXp6NGjXvtsNpuSk5NlMpk0btw47dixo93n6+rqlJ+fr7i4OA0cOFBz5sxRdXX19bYFAAAQlCKu9wBr166Vy+Vqt33z5s1atGiRVqxYoaysLNntds2aNUv79+/X5MmTPXV5eXk6efKkNm7cKJPJpBUrVignJ0dHjx5VRMR1twfAR82uVl2sbeqwptLZYFA3ABC6rivdOBwO/eu//quKioq0ZMkSr30rV67U3LlztXbtWklSZmamPvnkE61Zs0ZlZWWSpIMHD6qiokIVFRXKzs6WJFmtVqWmpmrbtm3Kzc29nvYA+KjZ1aqs9R+oqrYx0K0AQMi7rsuOjz76qJYsWSKr1eq1/dy5czpz5ky78DR37lzt3r1bzc3NkqTy8nKZzWZNnz7dU2O1WpWWluYJaAB63sXaJr+CV4I5WvFmUw92BAChq8sjX1u2bNGJEye0detWffTRR177HA6HJCklJcVre2pqqlpaWnT+/HmlpKTI4XDIarUqLCysXZ37GNdSX1+v+vp6z3vmiQHd4+38dCVaBnRYE282KSoi3KCOACC0dCl8NTQ0qKCgQOvWrVNsbGy7/U6nU5JkNpu9tlssFklSTU2Np+7qGnedu+ZaiouLtXr16i50D6AjiZYBGjUkJtBtAEDI6lL4eu655/S9731PP/nJT7q7H58VFBRo4cKFnvfV1dVKT08PWD8AEKx8uVGC0UzAOH6Hr88//1xFRUUqLS1VXV2dpG+Wm3D/8/Lly54Rrrq6Og0bNszzWfeIWFxcnKRvRrguXLjQ7mc4nU5PzbXExsZ+56gbAMDbQ7YjndYkmKO1Z9kUAhhgAL8n3J8/f14tLS364Q9/KIvFIovFonvuuUfSN3c03nXXXZ65XlfP23I4HIqMjFRSUpKkb+aEnT59Wm1tbe3qrp4vBgDwXbzZpARztM/1VbWNnS41AqB7+D3ylZaWpr1793ptO378uB5//HFt3LhREydOVFJSkpKTk1VSUqL77rvPU2e32zVt2jRFRkZKknJycrR27Vrt3r1bd911lyTpzJkzOnbsmH75y19ez3kBQJ8WFRGuPcum+LR2my8jYwC6j9/hy2w2a+rUqd+5b8KECfqHf/gHSdKqVas0f/58jR49WpmZmbLb7Tp8+LD27dvnqc/IyNCMGTO0YMECFRUVeRZZHTt2rGbPnt21MwIASPomgHHzBBB8emwJ+Xnz5qmhoUGFhYUqLCyU1WpVaWmpMjIyvOrsdrsKCgq0ePFiuVwuZWdna8OGDaxuDwAAQlK3JJypU6e2m7clSfn5+crPz+/ws4MGDZLNZpPNZuuOVgAAAILadT9YGwAAAL4jfAEAABiI8AUAAGAgwhcAAICBCF8AAAAGInwBAAAYiPAFAABgIMIXAACAgQhfAAAABiJ8AQAAGIjwBQAAYCDCFwAAgIEIXwAAAAYifAEAABiI8AUAAGAgwhcAAICBCF8AAAAGInwBAAAYiPAFAABgIMIXAACAgQhfAAAABiJ8AQAAGIjwBQAAYCDCFwAAgIEIXwAAAAaKCHQDAIDgUOls6HB/vNmkqIhwg7oBQhfhCwAgSXrIdqTD/QnmaO1ZNoUABlwnLjsCQB8WbzYpwRztU21VbaMu1jb1cEdA6GPkCwD6sKiIcO1ZNqXDUFXpbOh0VAyA7whfANDHRUWEa9SQmEC3AfQZXHYEAAAwEOELAADAQIQvAAAAAxG+AAAADOR3+CorK9OUKVM0dOhQRUVFKSkpSQUFBaqrq/Oq2759u8aNGyeTyaTk5GS99dZb7Y7V0tKi5cuXa9iwYYqJidH06dN1+vTprp8NAABAkPM7fNXU1GjSpEnauHGjKioqVFBQoH//93/XAw884Kk5cOCAZs2apYyMDJWXlysvL0/5+fnasmWL17Eee+wxvf7661q3bp22bdum5uZmTZs2rV2QAwAACBV+LzXx4x//2Ov91KlTFRUVpcWLF+vixYuKj4/X2rVrPQFNkjIzM3X27Fk9++yzmjNnjiSpsrJSb7zxhl599VUtWLBAkjRx4kSNGDFCr732mp544onrPTcAAICg0y1zvgYPHizpm8uIzc3N2rt3r9dImCTNnTtXp06d0meffSZJ2rlzp65cueJVFxcXp+zsbJWVlXVHWwAAAEGny+GrtbVVTU1N+uijj7RmzRrde++9GjlypM6ePauvv/5aKSkpXvWpqamSJIfD4fnnjTfeKIvF0q7OXQMAABBqurzC/c0336yqqipJ0j/+4z9q06ZNkiSn0ylJMpvNXvXukFVTU+Opu7rGXeeu6Uh9fb3q6+s976urq/0+BwAAAKN1eeSrrKxMH374oV5//XWdOnVK99xzj1pbW7uztw4VFxfrpptu8rzS09MN+9kAAABd1eWRr7Fjx0qSMjIyNHHiRKWlpam0tFS33HKLJLW7Y9E9IhYXFyfpmxGu77qr0el0emo6UlBQoIULF3reV1dXE8AAAEDQ65YJ92PHjlX//v316aefavTo0erfv3+7eVvu9+65YCkpKfriiy88oezbdVfPF/susbGxSkxM9LyGDx/eHacCAADQo7olfB0+fFhff/21kpKSFBUVpczMzHZretntdqWmpmrkyJGSpOzsbPXr109bt2711DidTu3cuVMzZ87sjrYAAACCjt+XHWfPnq3vf//7Gjt2rKKjo/Xxxx/rX/7lXzR27Fjdf//9kqRnnnlGU6dO1dKlS5Wbm6u9e/dq06ZNstvtnuMkJiZq4cKFWr58ucLDw5WQkKB169Zp0KBBeuSRR7rtBAEAAIKJ3+ErPT1ddrtdhYWFunLlikaOHKlFixZp2bJlioyMlCTdcccd2rZtm55++mnZbDaNGDFCb7zxRru1v15++WXdcMMNevLJJ/W3v/1Nt99+u3bt2qVBgwZ1z9kBkCQ1u1p1sbbpmvsrnQ0GdgMAfVtYW1tbW6Cb6A6VlZW66aabdOHCBSUmJga6HSBoNLtalbX+A1XVNvpUv3fZVI0aEtPDXaE3Of/Xr5S5/n1J/PsBfBd/M0i3zPkCELwu1jb5HLwSzNGKN5t6uCMA6Nu6vNQEgN7n7fx0JVoGXHN/vNmkqIhwAzsCgL6H8AX0IYmWAVwyAoAA47IjAACAgQhfAAAABiJ8AQAAGIjwBQAAYCDCFwAAgIEIXwAAAAYifAEAABiI8AUAAGAgFlkFerHOHpgt8dBsAAg2hC+gl/L3gdkAgODAZUegl/LngdkSD80GgGDByBcQAjp7YLbEQ7PRPXy5jM2/a0DHCF9ACOCB2TDKQ7YjndYkmKO1Z9kUAhhwDVx2BAB0KN5sUoI52uf6qtrGTm8EAfoyRr4AAB2KigjXnmVTfLqz1peRMaCvI3wBADoVFRHOpW2gm3DZEQAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAMRvgAAAAzkd/gqKSnRfffdp8TERMXExCgtLU1vvvmm2travOpsNpuSk5NlMpk0btw47dixo92x6urqlJ+fr7i4OA0cOFBz5sxRdXV1188GAAAgyPkdvoqLizVgwAAVFRVp+/btysnJ0aJFi7RmzRpPzebNm7Vo0SLl5eWpvLxcGRkZmjVrlg4dOuR1rLy8PO3cuVMbN27UO++8o9OnTysnJ0cul+v6zwwAACAIRfj7ge3bt2vIkCGe91lZWfryyy9VXFysZ555Rv369dPKlSs1d+5crV27VpKUmZmpTz75RGvWrFFZWZkk6eDBg6qoqFBFRYWys7MlSVarVampqdq2bZtyc3O74/wAAACCit8jX98OXm7jx49XfX29vvrqK507d05nzpxpF57mzp2r3bt3q7m5WZJUXl4us9ms6dOne2qsVqvS0tI8AQ0AACDUdMuE+wMHDighIUEDBw6Uw+GQJKWkpHjVpKamqqWlRefPn5ckORwOWa1WhYWFtatzHwMAACDU+H3Z8WoHDhzQ5s2bVVRUJElyOp2SJLPZ7FVnsVgkSTU1NZ66q2vcde6ajtTX16u+vt7znon6AACgN7iu8FVZWam8vDxlZmbqscce666efFJcXKzVq1cb+jMBAACuV5cvO9bW1ionJ0eDBw/W1q1b1a/fN4dyj3DV1dV51btHxOLi4jx1V9e469w1HSkoKNCFCxc8ryNHjnT1VAAAAAzTpZGvxsZG3X333aqrq9PBgwc1aNAgzz73XC/3nC43h8OhyMhIJSUleep27dqltrY2r3lfDodDY8aM6bSH2NhYxcbGdqV9AACAgPF75Mvlcik3N1enTp3Se++9p4SEBK/9SUlJSk5OVklJidd2u92uadOmKTIyUpKUk5Mjp9Op3bt3e2rOnDmjY8eOaebMmV05FwAAgKDn98jX0qVLtWPHDhUVFam+vt5r4dTx48crKipKq1at0vz58zV69GhlZmbKbrfr8OHD2rdvn6c2IyNDM2bM0IIFC1RUVCSTyaQVK1Zo7Nixmj17dvecHQAAQJDxO3zt3LlTkvSLX/yi3b7z589r5MiRmjdvnhoaGlRYWKjCwkJZrVaVlpYqIyPDq95ut6ugoECLFy+Wy+VSdna2NmzYoIiI674JEwAAICj5nXI+++wzn+ry8/OVn5/fYc2gQYNks9lks9n8bQMAAKBX6pZFVgEAAOAbwhcAAICBCF8AAAAGInwBAAAYiPAFAABgIMIXAACAgQhfAAAABmI1UyAINbtadbG2qcOaSmeDQd0AALoT4QsIMs2uVmWt/0BVtY2BbgUA0AO47AgEmYu1TX4FrwRztOLNph7sCADQnRj5AoLY2/npSrQM6LAm3mxSVES4QR0BAK4X4QsIYomWARo1JCbQbQB+82VOIr84oK8ifAEAut1DtiOd1iSYo7Vn2RQCGPoc5nwBALpFvNmkBHO0z/VVtY2d3tULhCJGvgAA3SIqIlx7lk3xaZkUX0bGgFBF+AIAdJuoiHDmKQKd4LIjAACAgQhfAAAABiJ8AQAAGIjwBQAAYCDCFwAAgIEIXwAAAAYifAEAABiI8AUAAGAgwhcAAICBCF8AAAAGInwBAAAYiPAFAABgIMIXAACAgQhfAAAABiJ8AQAAGIjwBQAAYCDCFwAAgIEiAt0A0Jc0u1p1sbapw5pKZ4NB3QAAAoHwBRik2dWqrPUfqKq2MdCtAEHDl1824s0mRUWEG9ANYIwuha9PP/1U69ev16FDh/SnP/1JKSkp+tOf/tSuzmaz6cUXX9Rf/vIXWa1WPf/887r77ru9aurq6lRQUKDS0lJ9/fXXmjFjhjZs2KDhw4d37YyAIHWxtsmv4JVgjla82dSDHQGB95DtSKc1CeZo7Vk2hQCGkNGl8HXy5En913/9lyZNmqQrV67oypUr7Wo2b96sRYsWacWKFcrKypLdbtesWbO0f/9+TZ482VOXl5enkydPauPGjTKZTFqxYoVycnJ09OhRRUQwMIfQ9HZ+uhItAzqs4bd9hKp4s0kJ5miffxmpqm3UxdomjRoS08OdAcYIa2tra/P3Q1euXFG/ft/M1X/44Yd19OjRdiNfVqtVEyZM0KZNmzzbbrvtNpnNZpWVlUmSDh48qNtuu00VFRXKzs6WJJ0+fVqpqanavHmzcnNzfe6psrJSN910ky5cuKDExER/Twnocef/+pUy178vSdq7bCr/IUGf5uv8R/fIGH9mEMz8zSBdutvRHbyu5dy5czpz5ky78DR37lzt3r1bzc3NkqTy8nKZzWZNnz7dU2O1WpWWluYJaACA0BMVEa5RQ2I6fHU2Ogz0Vj1yXc/hcEiSUlJSvLanpqaqpaVF58+fV0pKihwOh6xWq8LCwtrVuY9xLfX19aqvr/e8r66u7qbuAQAAek6PhC+n0ylJMpvNXtstFoskqaamxlN3dY27zl1zLcXFxVq9evX1NwsAAGCgXrvIakFBgS5cuOB5HTnS+R0zAAAAgdYjI1/uEa66ujoNGzbMs909IhYXF+epu3DhQrvPO51OT821xMbGKjY2trtaBgAAMESPjHy553pdPW/L4XAoMjJSSUlJnrrTp0/r6hsuHQ5Hu/liAAAAoaBHwldSUpKSk5NVUlLitd1ut2vatGmKjIyUJOXk5MjpdGr37t2emjNnzujYsWOaOXNmT7QGAAAQUF267NjQ0OBZCuLzzz9XfX29tmzZIkmaMmWKhg4dqlWrVmn+/PkaPXq0MjMzZbfbdfjwYe3bt89znIyMDM2YMUMLFixQUVGRZ5HVsWPHavbs2d1wegAAAMGlS+Hrf//3f/XAAw94bXO/37t3r6ZOnap58+apoaFBhYWFKiwslNVqVWlpqTIyMrw+Z7fbVVBQoMWLF8vlcik7O1sbNmxgdXsAABCSupRwRo4c2W6e1nfJz89Xfn5+hzWDBg2SzWaTzWbrSisAAAC9Sq9dagIAAKA3InwBAAAYiPAFAABgIGa1A92k2dWqi7VN19xf6WwwsBsAQLAifAHdoNnVqqz1H6iqtjHQrQAAghyXHYFucLG2yefglWCOVrzZ1MMdAQCCFSNfQDd7Oz9diZYB19wfbzYpKiLcwI4AAMGE8AV0s0TLAI0aEhPoNoCQ0tmcSX6pQW9C+AIABL2HbEc63J9gjtaeZVMIYOgVCF8AgKAUbzYpwRzt03zKqtpGHTlf0+Elf/cxCWgINMIXACAoRUWEa8+yKZ0u4eIeFetsdExihAzBgfAFAAhaURHhHc6h9Gd0TPpmhOxibRPzMhFQhC8AQK/ly+iY5D1CBgQa4QsA0Kt1NjoGBBsWWQUAADAQ4QsAAMBAhC8AAAADMecL6ESzq9WnybwAAPiC8AV0oNnVqqz1H/h8GzsAAJ3hsiPQgYu1TX4FrwRztOLNph7sCADQ2zHyBfjo7fx0Hl0CALhuhC/0Wf7O5Uq0DGAtIQDAdSN8oU9iLhcAIFAIX+iTmMsF9F2+3J3MFAL0JMIX+jzmcgF9iy/PeEwwR2vPsin8uUePIHyhz2MuFxD64s0mJZijfR7xrqpt1MXaJv5uQI8gfAEAQl5URLj2LJvi0002voyMAdeD8IWQw4r0AL5LVEQ4I1kICoQvhBTuYgTQXZiYj55C+EJI4S5GAN2FifnoKYQv9CqdXVL89m+q3MUIwF9MzIcRCF/oNfy9pMhdjAD8xcR8GIHwhV7Dn0uKXE4E0FX+TszvbG4YI+y4GuELvVJnlxT5yw6AUTobAWNeGK7WL9ANOBwOTZ8+XTExMRo2bJieeOIJtbS0BLotBDn3JcVrvfhLDkBPcs8N84V7XhjgFtCRL6fTqaysLP393/+9tm3bpqqqKhUUFKihoUGvvPJKIFtDN/FlzS1fsTYXgGDhy9ywb88LY9kKfFtAw9fGjRtVX1+v0tJSxcXFSZJcLpeWLl2qp556SvHx8YFsD9eJNbcAhDJ/5oZ117IVvv5CS5ALbgENX+Xl5brrrrs8wUuScnNztWTJEu3cuVMPP/xw4JrrRbpzdKk7VTobeiR4MZkeQG/QlWUrjpyvueZ81hbXFc14aZ9Px2KeWXALaPhyOBxasGCB1zaz2azhw4fL4XAEqKv2WlxXgnb0xp8/jIHky5pbvuI3OgC9QVeWreiu5Ss6C3J9UYI5WpERAZ/qLikI5nyZzeZ22y0Wi2pqajr8bH19verr6z3vq6uru7s9j6raRmWuf7/Hjh/qEszRSh8VR2AC0Of4cmnS3xEySar4+Q++M0j0RJALFXuXTQ2atR977VITxcXFWr16daDbCCrX+sMYaIxUAcC1+TpC5tbR36ldCXIwXkDDl8ViUV1dXbvtTqfTax7YdykoKNDChQs976urq5Went7tPUrfjNzsXTa1R47dXQg4ANB7+buwa0fH8SfI9SW+Lg1ihICGr5SUlHZzu+rq6lRdXa2UlJQOPxsbG6vY2NiebM8jMqJf0AxVAgDQke4Kcug5Ab1GlZOTo127dqm2ttazraSkRP369VN2dnbgGgMAAOghAQ1fS5Ys0cCBA3X//fdr586deuutt7R8+XItWbKENb4AAEBICmj4slgs2r17tyIiInT//ffrySef1MKFC1VcXBzItgAAAHpMwO92TE1N1a5duwLdBgAAgCGCb10CAACAEEb4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwUMAfL9RdXC6XJKm6ujrAnQAAgL7EnT3cWaQzIRO+Ll26JElKT08PcCcAAKAvunTpkkaOHNlpXVhbW1tbz7fT85qamnTixAkNHTpUEREhkym7XXV1tdLT03XkyBENHz480O30aXwXwYPvIrjwfQQPvgvfuFwuXbp0SWPGjJHJZOq0PmRSislk0sSJEwPdRq8xfPhwJSYmBroNiO8imPBdBBe+j+DBd9E5X0a83JhwDwAAYCDCFwAAgIEIX31MbGysVq5cqdjY2EC30ufxXQQPvovgwvcRPPguekbITLgHAADoDRj5AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+ILHH//4R4WHh+uGG24IdCt9Tmtrq371q1/pBz/4gYYMGaK4uDhlZmZq//79gW4t5DkcDk2fPl0xMTEaNmyYnnjiCbW0tAS6rT6npKRE9913nxITExUTE6O0tDS9+eab4p6wwLt8+bISExMVFhamo0ePBrqdkED4giSpra1N//RP/6ShQ4cGupU+qbGxUS+88IImTJig3/3ud9q0aZMsFosyMzO1Z8+eQLcXspxOp7KystTS0qJt27Zp3bp1+s1vfqOCgoJAt9bnFBcXa8CAASoqKtL27duVk5OjRYsWac2aNYFurc9bu3atzw+Mho/agLa2NpvN1vZ3f/d3bf/8z//cFhMTE+h2+hyXy9VWU1PTbltKSkrb3XffHaCuQt+6devaYmJi2r788kvPttdee60tPDy8raqqKoCd9T2XLl1qt23RokVtsbGxba2trQHoCG1tbW2nTp1qi4mJadu4cWObpLY//OEPgW4pJDDyBdXW1urJJ5/Ur3/9a0VGRga6nT4pPDxcFoul3baxY8fq4sWLAeoq9JWXl+uuu+5SXFycZ1tubq6uXLminTt3BrCzvmfIkCHtto0fP1719fX66quvAtARJOnRRx/VkiVLZLVaA91KSCF8QU8//bQmTJigu+++O9Ct4FtcLpcOHTqk1NTUQLcSshwOh1JSUry2mc1mDR8+XA6HI0Bdwe3AgQNKSEjQwIEDA91Kn7RlyxadOHFCzz77bKBbCTkRgW4AgXX8+HHZbDYdO3Ys0K3gKr/61a9UVVWlxx9/PNCthCyn0ymz2dxuu8ViUU1NjfENwePAgQPavHmzioqKAt1Kn9TQ0KCCggKtW7eORwv1AMJXiKmrq1N1dXWndUlJSerfv79++tOfaunSpe1++8f18+e7uPpy7+9//3utXLlSzz77rCZMmNBTLQJBqbKyUnl5ecrMzNRjjz0W6Hb6pOeee07f+9739JOf/CTQrYQkwleIKSkp0aJFizqtO3XqlI4fP65Tp05p06ZNqq2tlSQ1NTVJ+mYemMlkkslk6sl2Q5o/38W3w+9HH32kH/3oR3rwwQcZ7u9hFotFdXV17bY7nU6veWAwTm1trXJycjR48GBt3bpV/foxO8Zon3/+uYqKilRaWur583H58mXPPy9fvsySRNeJB2v3YatWrdLq1auvuf+Xv/ylCgsLDewIn376qW6//XaNHz9e27dvV//+/QPdUkj7wQ9+oMGDB6u0tNSzra6uThaLRW+++aYefvjhwDXXBzU2Nmr69On6y1/+ooMHDyohISHQLfVJ77//vjIzM6+5f9KkSTp06JCBHYUeRr76sIcfflhTp0712vbb3/5Wdrtd5eXlGjFiRGAa66Oqq6uVnZ2tESNGaMuWLQQvA+Tk5GjdunWqra31zP0qKSlRv379lJ2dHdjm+hiXy6Xc3FydOnVK+/fvJ3gFUFpamvbu3eu17fjx43r88ce1ceNGTZw4MUCdhQ5GvuBl1apVWr9+vWeIGcZobGxURkaGzp07p3feecdrsduoqCiNHz8+gN2FLqfTqVtvvVXJycl66qmnVFVVpYKCAs2fP1+vvPJKoNvrUxYvXqzXX39dRUVFuu2227z2jR8/XlFRUQHqDNL/j4b94Q9/0Pe///1At9PrMfIFBIEvvvhCH3/8sSTp3nvv9dp3880367PPPgtAV6HPYrFo9+7devTRR3X//fdr4MCBWrhwoZ5//vlAt9bnuNdV+8UvftFu3/nz5zVy5EiDOwJ6DiNfAAAABuI2EgAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAP9H9wJxBB2qt1DAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hl.plot1d(ax, h)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Histlite keeps track of per-bin error estimates, and we can display them with many different styles.  Let's try plotting with errorbars, errorbands, errorbands with smooth lines rather than steps, and crosses:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n",
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 880x880 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 2, figsize=(8, 8))\n",
    "hl.plot1d(ax[0][0], h, errorbars=True)\n",
    "hl.plot1d(ax[0][1], h, errorbands=True)\n",
    "hl.plot1d(ax[1][0], h, errorbands=True, drawstyle='default')\n",
    "hl.plot1d(ax[1][1], h, crosses=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You have probably noticed that the plotting style differs from matplotlib's standard:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 880x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(8, 4))\n",
    "hl.plot1d(ax[0], h)\n",
    "ax[1].hist(x, bins=h.bins[0]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we will see, much of the design of histlite is centered on simply dealing with binned rather than smooth curves.  However, the classic matplotlib style(and more) can still be obtained:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 880x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(8, 4))\n",
    "hl.fill_between(ax[0], 0, h)\n",
    "ax[0].set_ylim(0)\n",
    "ax[1].hist(x, bins=h.bins[0]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The \"light\" in histlite refers to the deliberately simple data structure.  A histlite histogram is essentially just a bundle of bins, values, and error estimates.  These are the required initialization arguments which are determined from data and arguments to factory functions such as `histlite.hist()`.  They are also read-only properties of each `Hist`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[array([-5.        , -4.80392157, -4.60784314, -4.41176471, -4.21568627,\n",
      "       -4.01960784, -3.82352941, -3.62745098, -3.43137255, -3.23529412,\n",
      "       -3.03921569, -2.84313725, -2.64705882, -2.45098039, -2.25490196,\n",
      "       -2.05882353, -1.8627451 , -1.66666667, -1.47058824, -1.2745098 ,\n",
      "       -1.07843137, -0.88235294, -0.68627451, -0.49019608, -0.29411765,\n",
      "       -0.09803922,  0.09803922,  0.29411765,  0.49019608,  0.68627451,\n",
      "        0.88235294,  1.07843137,  1.2745098 ,  1.47058824,  1.66666667,\n",
      "        1.8627451 ,  2.05882353,  2.25490196,  2.45098039,  2.64705882,\n",
      "        2.84313725,  3.03921569,  3.23529412,  3.43137255,  3.62745098,\n",
      "        3.82352941,  4.01960784,  4.21568627,  4.41176471,  4.60784314,\n",
      "        4.80392157,  5.        ])]\n",
      "[  0.   0.   0.   0.   1.   1.   1.   1.   6.   6.  17.  23.  35.  43.\n",
      "  73. 111. 167. 258. 284. 404. 503. 582. 645. 695. 729. 753. 780. 709.\n",
      " 641. 580. 512. 395. 326. 250. 158. 110.  64.  60.  32.  20.  12.   7.\n",
      "   2.   4.   0.   0.   0.   0.   0.   0.   0.]\n",
      "[ 0.          0.          0.          0.          1.          1.\n",
      "  1.          1.          2.44948974  2.44948974  4.12310563  4.79583152\n",
      "  5.91607978  6.55743852  8.54400375 10.53565375 12.92284798 16.0623784\n",
      " 16.85229955 20.09975124 22.42766149 24.12467616 25.3968502  26.36285265\n",
      " 27.         27.44084547 27.92848009 26.62705391 25.3179778  24.08318916\n",
      " 22.627417   19.87460691 18.05547009 15.8113883  12.56980509 10.48808848\n",
      "  8.          7.74596669  5.65685425  4.47213595  3.46410162  2.64575131\n",
      "  1.41421356  2.          0.          0.          0.          0.\n",
      "  0.          0.          0.        ]\n"
     ]
    }
   ],
   "source": [
    "print(h.bins)\n",
    "print(h.values)\n",
    "print(h.errors)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that `bins` is a list of per-axis ndarrays.  Here we have a 1D histogram, and so a single axis, but in general histlite histograms are N-dimensional.  Note also that the errors are $\\sqrt{N}$ per bin for unweighted histograms, which is a special case for a general implementation where the errors are $\\sqrt{\\left(\\sum_i w_i^2\\right)}$ for events $\\{i\\}$ per bin for weighted histograms."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On construction, it is determined whether bins are log-spaced(which can be conveniently requested of `histlite.hist()`, as we will see later).  This information is exposed as an array of per-axis bools:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[False]\n"
     ]
    }
   ],
   "source": [
    "print(h.log)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also access to the per-axis number of bins, binning ranges, and bin centers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[51]\n",
      "[(-5.0, 5.0)]\n",
      "[array([-4.90196078, -4.70588235, -4.50980392, -4.31372549, -4.11764706,\n",
      "       -3.92156863, -3.7254902 , -3.52941176, -3.33333333, -3.1372549 ,\n",
      "       -2.94117647, -2.74509804, -2.54901961, -2.35294118, -2.15686275,\n",
      "       -1.96078431, -1.76470588, -1.56862745, -1.37254902, -1.17647059,\n",
      "       -0.98039216, -0.78431373, -0.58823529, -0.39215686, -0.19607843,\n",
      "        0.        ,  0.19607843,  0.39215686,  0.58823529,  0.78431373,\n",
      "        0.98039216,  1.17647059,  1.37254902,  1.56862745,  1.76470588,\n",
      "        1.96078431,  2.15686275,  2.35294118,  2.54901961,  2.74509804,\n",
      "        2.94117647,  3.1372549 ,  3.33333333,  3.52941176,  3.7254902 ,\n",
      "        3.92156863,  4.11764706,  4.31372549,  4.50980392,  4.70588235,\n",
      "        4.90196078])]\n"
     ]
    }
   ],
   "source": [
    "print(h.n_bins)\n",
    "print(h.range)\n",
    "print(h.centers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Working with multiple histograms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's generate data for a second histogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "x2 = np.random.normal(loc=1, scale=2, size=int(x.size/2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We would like a second histogram, `h2`, to be used with the original one, `h`.  For this, we require the binning to match.  One way this can be achieved is to bin `x2` using `h.bins`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "h2 = hl.hist(x2, bins=h.bins)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hl.plot1d(ax, h)\n",
    "hl.plot1d(ax, h2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This can also be expressed as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "h2 = hl.hist_like(h, x2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jT0VFhc6cOeP7Onz4cLCHAgAAYLigw9cXvvCFqz7X3t6usWPHaujQoT3mbXkfe+eC5eXl6aOPPvKFskvrLp8vdiWpqanKzs72fY0cOTLYQwEAADBc0OHrtttu0yeffKK3337bt+2TTz7RW2+9pcmTJ8tkMqmoqKjHml4Oh0P5+fkaM2aMJKmkpERDhgzRSy+95KtxuVzatWuXbr311r4dDQAAQIQLes7XXXfdpSlTpmju3Ll6/PHHlZSUpB/96EcymUy6//77JUk//OEPNW3aNN1///0qKyvTvn37tGXLFjkcDt9+srOztWjRIq1YsULx8fHKysrS+vXrlZaWpm9961uhO0IAAIAIEnT4GjJkiGpqavTggw/qW9/6ljo7O/XlL39Z+/fv14gRIyRJt9xyi3bs2KFHHnlEdrtdo0eP1vPPP99j7a+nnnpKn/vc5/Twww/rb3/7m26++Wbt3r1baWlpoTk6AACACBN0+JKkjIwMvfjii35r7rjjDt1xxx1+a0wmkzZs2KANGzb0pQ0AEazD3aWGpvarPl/najWwGwCIHH0KXwDgT4e7S8UbXlN9U1u4Wxm0egunmRazTAnxBnUDIJQIXwBCrqGpPeDglWVJUqbFPMAdDT732v0vn5NlSdLe5VMJYMAgRPgCMKBeLC9QtnXYVZ9nBOd/ZVrMyrIkBRRc65va1NDUruszkg3oDEAoEb4ADKhs6zACQoBMCfHau3xqr3PlehsVAxDZCF8AEEFMCfGEVSDKBb3IKgAAAPqO8AUAAGAgwhcAAICBCF8AAAAGInwBAAAYiPAFAABgIMIXAACAgQhfAAAABiJ8AQAAGIjwBQAAYCDCFwAAgIEIXwAAAAYifAEAABiI8AUAAGAgwhcAAICBCF8AAAAGInwBAAAYiPAFAABgIMIXAACAgQhfAAAABiJ8AQAAGIjwBQAAYCDCFwAAgIEIXwAAAAYifAEAABiI8AUAAGAgwhcAAICBEsLdAACgb+pcrb3WZFrMMiXEG9ANgEARvgBgkLrXfrjXmixLkvYun0oAAyJI0Kcdf/GLXyguLq7H18MPP9ytzm63Kzc3V2azWRMmTNCrr77aY1/Nzc0qLy9Xenq6UlJSNHfuXDU2Nvb9aAAgymVazMqyJAVcX9/Upoam9gHsCECw+jzy9etf/1ppaWm+x1lZWb6/b926VYsXL9bKlStVXFwsh8Oh2bNn68CBA7rpppt8dfPmzdN7772nzZs3y2w2a+XKlSotLdWRI0eUkMCgHABczpQQr73Lp/YaqOpcrQGNjAEwXp8TzuTJk5WRkXHF51atWqX58+dr3bp1kqSioiK98847Wrt2rWpqaiRJBw8eVG1trWpra1VSUiJJstlsys/P144dO1RWVtbX1gAMoA53V0A/+DFwTAnxuj4jOdxtAOijkA8vnTx5UidOnNATTzzRbfv8+fO1YsUKdXR0yGQyaefOnbJYLJo5c6avxmazaeLEiaqpqSF8ARGow92l4g2vqb6pLdytAMCg1eelJr7whS8oPj5eOTk5+tGPfqSuri5JktPplCTl5eV1q8/Pz1dnZ6dOnTrlq7PZbIqLi+tR590HgMjS0NQeVPDKsiQp02IewI4AYPAJeuRr5MiRWrNmjW688UbFxcXp5Zdf1iOPPKL6+no9/fTTcrlckiSLxdLtdVarVZJ07tw5SZLL5epR463z1vjT0tKilpYW32Mm6gPGerG8QNnWYX5rWOYAAHoKOnzNmjVLs2bN8j0uKSlRUlKSfvKTn2jlypUhbc6fjRs3as2aNYa9H4Dusq3DmHcEAH0QkhXuy8rK1NXVpbfffts3wtXc3Nytxjsilp6eLuniCNflNd46b40/FRUVOnPmjO/r8GGu6gEAAJEv5BPuvXO9vHO6vJxOpxITE5WTk+Or2717tzweT7d5X06nU+PGjev1fVJTU5Wamhri7gEAAAZWSEa+tm7dqvj4eE2aNEk5OTnKzc3Vtm3butU4HA5Nnz5diYmJkqTS0lK5XC7t2bPHV3PixAkdPXpUt956ayjaAgAAiDh9mvNVXFzsG516+eWX9bOf/Uzf+c53NGLECEnS6tWrtWDBAo0dO1ZFRUVyOBw6dOiQ9u/f79tPYWGhZs2apYULF6qqqsq3yOr48eM1Z86cEB0eAABAZAk6fOXl5clut6uurk4XLlxQbm6unnzySS1btsxXc/fdd6u1tVWVlZWqrKyUzWZTdXW1CgsLu+3L4XCooqJCS5YskdvtVklJiTZt2sTq9gAAIGoFnXKeeuopPfXUU73WlZeXq7y83G9NWlqa7Ha77HZ7sG0AAAAMSiGZ8wUAAIDAEL4AAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADBQv8PX+fPnlZ2drbi4OB05cqTbc3a7Xbm5uTKbzZowYYJeffXVHq9vbm5WeXm50tPTlZKSorlz56qxsbG/bQEAAESkhP7uYN26dXK73T22b926VYsXL9bKlStVXFwsh8Oh2bNn68CBA7rpppt8dfPmzdN7772nzZs3y2w2a+XKlSotLdWRI0eUkNDv9gAEqMPdpYamdr81da5Wg7oBgOjVr3TjdDr1b//2b6qqqtLSpUu7Pbdq1SrNnz9f69atkyQVFRXpnXfe0dq1a1VTUyNJOnjwoGpra1VbW6uSkhJJks1mU35+vnbs2KGysrL+tAcgQB3uLhVveE31TW3hbgUAol6/TjsuW7ZMS5culc1m67b95MmTOnHiRI/wNH/+fO3Zs0cdHR2SpJ07d8pisWjmzJm+GpvNpokTJ/oCGoCB19DUHlTwyrIkKdNiHsCOACB69Xnka/v27Xr33Xf10ksv6a233ur2nNPplCTl5eV1256fn6/Ozk6dOnVKeXl5cjqdstlsiouL61Hn3cfVtLS0qKWlxfeYeWJAaLxYXqBs6zC/NZkWs0wJ8QZ1BADRpU/hq7W1VRUVFVq/fr1SU1N7PO9yuSRJFoul23ar1SpJOnfunK/u8hpvnbfmajZu3Kg1a9b0oXsA/mRbh+n6jORwtwEAUatP4euxxx7T5z//eX3zm98MdT8Bq6io0KJFi3yPGxsbVVBQELZ+ACBSBXKhBKOZgHGCDl+nT59WVVWVqqur1dzcLOnichPeP8+fP+8b4WpubtaIESN8r/WOiKWnp0u6OMJ15syZHu/hcrl8NVeTmpp6xVE3AEB399oP91qTZUnS3uVTCWCAAYKecH/q1Cl1dnbqq1/9qqxWq6xWq26//XZJF69onDFjhm+u1+XztpxOpxITE5WTkyPp4pyw48ePy+Px9Ki7fL4YACBwmRazsixJAdfXN7X1utQIgNAIeuRr4sSJ2rdvX7dtb7/9th588EFt3rxZU6ZMUU5OjnJzc7Vt2zbdeeedvjqHw6Hp06crMTFRklRaWqp169Zpz549mjFjhiTpxIkTOnr0qB566KH+HBcAxDRTQrz2Lp8a0NptgYyMAQidoMOXxWLRtGnTrvjc5MmT9Q//8A+SpNWrV2vBggUaO3asioqK5HA4dOjQIe3fv99XX1hYqFmzZmnhwoWqqqryLbI6fvx4zZkzp29HBACQdDGAcfEEEHkGbAn5u+++W62traqsrFRlZaVsNpuqq6tVWFjYrc7hcKiiokJLliyR2+1WSUmJNm3axOr2AAAgKoUk4UybNq3HvC1JKi8vV3l5ud/XpqWlyW63y263h6IVAACAiNbvG2sDAAAgcIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwEOELAADAQAnhbgAAEBnqXK1+n8+0mGVKiDeoGyB6Eb4AAJKke+2H/T6fZUnS3uVTCWBAP3HaEQBiWKbFrCxLUkC19U1tamhqH+COgOjHyBcAxDBTQrz2Lp/qN1TVuVp7HRUDEDjCFwDEOFNCvK7PSA53G0DM4LQjAACAgQhfAAAABiJ8AQAAGIjwBQAAYKCgw1dNTY2mTp2qa665RiaTSTk5OaqoqFBzc3O3uldeeUUTJkyQ2WxWbm6uXnjhhR776uzs1IoVKzRixAglJydr5syZOn78eN+PBgAAIMIFHb7OnTunG2+8UZs3b1Ztba0qKir07//+7/r617/uq3n99dc1e/ZsFRYWaufOnZo3b57Ky8u1ffv2bvt64IEH9Nxzz2n9+vXasWOHOjo6NH369B5BDgAAIFoEvdTEN77xjW6Pp02bJpPJpCVLlqihoUGZmZlat26dL6BJUlFRkT744AM9+uijmjt3riSprq5Ozz//vJ555hktXLhQkjRlyhSNHj1azz77rL7//e/399gAAAAiTkjmfA0fPlzSxdOIHR0d2rdvX7eRMEmaP3++jh07pg8//FCStGvXLl24cKFbXXp6ukpKSlRTUxOKtgAAACJOn8NXV1eX2tvb9dZbb2nt2rW64447NGbMGH3wwQf67LPPlJeX160+Pz9fkuR0On1/XnvttbJarT3qvDUAAADRps8r3F933XWqr6+XJP3jP/6jtmzZIklyuVySJIvF0q3eG7LOnTvnq7u8xlvnrfGnpaVFLS0tvseNjY1BHwMAAIDR+jzyVVNTozfeeEPPPfecjh07pttvv11dXV2h7M2vjRs3atSoUb6vgoICw94bAACgr/o88jV+/HhJUmFhoaZMmaKJEyequrpaN9xwgyT1uGLROyKWnp4u6eII15WuanS5XL4afyoqKrRo0SLf48bGRgIYAACIeCGZcD9+/HgNHTpU77//vsaOHauhQ4f2mLflfeydC5aXl6ePPvrIF8ourbt8vtiVpKamKjs72/c1cuTIUBwKAADAgApJ+Dp06JA+++wz5eTkyGQyqaioqMeaXg6HQ/n5+RozZowkqaSkREOGDNFLL73kq3G5XNq1a5duvfXWULQFAAAQcYI+7Thnzhx98Ytf1Pjx45WUlKQ//OEP+td//VeNHz9ed911lyTphz/8oaZNm6b7779fZWVl2rdvn7Zs2SKHw+HbT3Z2thYtWqQVK1YoPj5eWVlZWr9+vdLS0vStb30rZAcIAAAQSYIOXwUFBXI4HKqsrNSFCxc0ZswYLV68WMuXL1diYqIk6ZZbbtGOHTv0yCOPyG63a/To0Xr++ed7rP311FNP6XOf+5wefvhh/e1vf9PNN9+s3bt3Ky0tLTRHB0CS1OHuUkNT+1Wfr3O1GtgNAMS2OI/H4wl3E6FQV1enUaNG6cyZM8rOzg53O0DE6HB3qXjDa6pvaguoft/yabo+I3mAu8JgcurjT1W04beS+P8DuJJgM0hI5nwBiFwNTe0BB68sS5IyLeYB7ggAYlufl5oAMPi8WF6gbOuwqz6faTHLlBBvYEcAEHsIX0AMybYO45QRAIQZpx0BAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAOxyCowiPV2w2yJm2YDQKQhfAGDVLA3zAYARAZOOwKDVDA3zJa4aTYARApGvoAo0NsNsyVumo3QCOQ0Nv+vAf4RvoAowA2zYZR77Yd7rcmyJGnv8qkEMOAqOO0IAPAr02JWliUp4Pr6prZeLwQBYhkjXwAAv0wJ8dq7fGpAV9YGMjIGxDrCFwCgV6aEeE5tAyHCaUcAAAADEb4AAAAMRPgCAAAwEOELAADAQIQvAAAAAxG+AAAADET4AgAAMBDhCwAAwECELwAAAAMRvgAAAAxE+AIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPgCAAAwUNDha9u2bbrzzjuVnZ2t5ORkTZw4UT//+c/l8Xi61dntduXm5spsNmvChAl69dVXe+yrublZ5eXlSk9PV0pKiubOnavGxsa+Hw0AAECECzp8bdy4UcOGDVNVVZVeeeUVlZaWavHixVq7dq2vZuvWrVq8eLHmzZunnTt3qrCwULNnz9abb77ZbV/z5s3Trl27tHnzZv3qV7/S8ePHVVpaKrfb3f8jAwAAiEAJwb7glVdeUUZGhu9xcXGxPvnkE23cuFE//OEPNWTIEK1atUrz58/XunXrJElFRUV65513tHbtWtXU1EiSDh48qNraWtXW1qqkpESSZLPZlJ+frx07dqisrCwUxwcACAV3h9Rc57ckoalVY+Ia1eDJ8FsHxLqgw9elwctr0qRJeu655/Tpp5/q7NmzOnHihJ544oluNfPnz9eKFSvU0dEhk8mknTt3ymKxaObMmb4am82miRMnqqamhvAFAJHC3SFtmiw1n/FbNkrSb01SnSdDn3X9TlKyIe0Bg03Q4etKXn/9dWVlZSklJUUHDhyQJOXl5XWryc/PV2dnp06dOqW8vDw5nU7ZbDbFxcX1qHM6naFoCwAGnwBGmIKSli0lmPq3j+a6XoPXpbLjPtaZv9VLn0/v3/sCUarf4ev111/X1q1bVVVVJUlyuVySJIvF0q3OarVKks6dO+eru7zGW+et8aelpUUtLS2+x0zUBzDoBTjCFJS0UdKy3/c/gHndWy1ZrrviU42nj2vky3eH5n2AKNav8FVXV6d58+apqKhIDzzwQKh6CsjGjRu1Zs0aQ98TAAZUkCNMge3zzMX9Dh8bmv1ZrrvqvtyuVt/fE1rOSJ8M87+vUIzKAYNQn8NXU1OTSktLNXz4cL300ksaMuTihZPeEa7m5maNGDHCV+8dEUtPT/fVnTnT80PG5XL5avypqKjQokWLfI8bGxtVUFDQ18MBgMjiZ4QpIE2npRdnh66fIAU0AhbqUTlgkOhT+Gpra9Ntt92m5uZmHTx4UGlpab7nvHO9vHO6vJxOpxITE5WTk+Or2717tzweT7d5X06nU+PGjeu1h9TUVKWmpvalfQCIfH5GmCKVOyVLdZ4MZcd9HNgLQj0qBwwSQYcvt9utsrIyHTt2TAcOHFBWVla353NycpSbm+tbjNXL4XBo+vTpSkxMlCSVlpZq3bp12rNnj2bMmCFJOnHihI4ePaqHHnqoP8cEAAiHeJOKO6qUGfexXiy/UaOsVzntGOZROSDcgg5f999/v1599VVVVVWppaWl28KpkyZNkslk0urVq7VgwQKNHTtWRUVFcjgcOnTokPbv3++rLSws1KxZs7Rw4UJVVVXJbDZr5cqVGj9+vObMmROaowMAGKpTQ/WhZ6TclhxpuEFLTQRzhSjzzBABgg5fu3btkiR973vf6/HcqVOnNGbMGN19991qbW1VZWWlKisrZbPZVF1drcLCwm71DodDFRUVWrJkidxut0pKSrRp0yYlJIRkBQwA6LtY+oHe27E2nTaul2AFe4Uo88wQAYJOOR9++GFAdeXl5SovL/dbk5aWJrvdLrvdHmwbADBwou0Hur/w5O6Qflp49ecjXbBXiDLPDBGAISYAuFxffqCf/n+9X50YrhGyUM2vSht18Rgilb8rRJlnhghC+AIAfwL9gR7oD/b/c/DqASyUp/fSsi+GpWBCpL/evPuM1NE9aVBeIYrYRPgCAH/8/UDvS8Ax6hRfguniqdBYmbcGDCKELwCRL1InvwcacIKdVxWq03sJJkaCgAhE+AIQ2SJ98nugAeeRv0ZmgAy3QE61xtJ/D8QEwheAyBYtk98ZhbqyQObKRfrVpECQCF8ABg+jJr9H8rpW0SDYuXIsD4EoQ/gCIlCHu0sNTe1+a+pcrQZ1E0EG6+R3dBfoXDmWh0CUInwBEabD3aXiDa+pvqkt3K0MLgMx+T3S17UazDgNixhG+AIiTENTe1DBK8uSpEyLeQA7GkRCPfmdid4ABgDhC4hgL5YXKNs6zG9NpsUsU0K8QR1FCUZdAIQR4QuIYNnWYbo+IzncbQBBC2ROIr84IFYRvgAAIXev/XCvNVmWJO1dPpUAhphD+AIAhESmxawsS1LAcxbrm9rU0NRu/OguC7sizAhfAICQMCXEa+/yqQEtkxLIyNiAYWFXhBnhCwAQMqaE+IEZybraaFWgC+KysCsiCOELABD5+rvYKgu7IoIQvgAAkSmY0apAFsRliRFECMIXACAyBTpaJTFBHoMK4QsAELkYrUIUGhLuBgAAAGIJI18AwsfdEdgEaACIIoQvAOHh7pA2TQ780n8AiBKELwADo7dRrabTwQWvQK5mA4BBgPAFIPSCHdW6t1qyXOe/hqvZAEQJwheA0GuuCzx4pY2SrruZYAUgZhC+AAys3ka1GNECEGMIXwAGluU61mkCgEsQvgAAuJJAljnpbeQ2kOVUAt0XogbhCwCAKwnkBttpoy7eAulKoSnYC0/87QtRhRXuAQDw8t7MO1DNZ64+shXMhSe97QtRhZEvAAC8Ar2Zd9PpwEbGvPxdeBLsvjDoEb4AALhUsDfzvtrcsEu3c+EJLkH4AgzU4e5SQ1O735o6V6tB3QAICUatECTCF2CQDneXije8pvqmtnC3AkSMQH7ZyLSYZUqIN6CbIHjnhgUyp4tbY+EyfQpf77//vjZs2KA333xTf/zjH5WXl6c//vGPPersdrueeOIJ/eUvf5HNZtPjjz+u2267rVtNc3OzKioqVF1drc8++0yzZs3Spk2bNHLkyL4dERChGpragwpeWZYkZVrMA9gREH732g/3WpNlSdLe5VMjK4AFOjdMYgkJ9NCn8PXee+/pv/7rv3TjjTfqwoULunDhQo+arVu3avHixVq5cqWKi4vlcDg0e/ZsHThwQDfddJOvbt68eXrvvfe0efNmmc1mrVy5UqWlpTpy5IgSEhiYQ3R6sbxA2dZhfmsi8rd9IAQyLWZlWZIC/mWkvqlNDU3tuj4jeYA7C1Kwc8OA/9GndHP77bfrzjvvlCTdd999OnLkSI+aVatWaf78+Vq3bp0kqaioSO+8847Wrl2rmpoaSdLBgwdVW1ur2tpalZSUSJJsNpvy8/O1Y8cOlZWV9emggEiXbR0WeT9IAIOYEuK1d/nUgOY/BjIyFlMCXbSV0baI1qfwNWSI/+XBTp48qRMnTuiJJ57otn3+/PlasWKFOjo6ZDKZtHPnTlksFs2cOdNXY7PZNHHiRNXU1BC+gEgUyId/ICuDI6aZEuL5BSRYwSzayoKtEW1Azus5nU5JUl5eXrft+fn56uzs1KlTp5SXlyen0ymbzaa4uLgedd59XE1LS4taWlp8jxsbG0PUPYCrCnbFbgChE8yird4FWzktGpEGJHy5XC5JksVi6bbdarVKks6dO+eru7zGW+etuZqNGzdqzZo1/W8WQOCCXbGbq7yAgXG1RVtZsHVQGLQz2isqKrRo0SLf48bGRhUUFISxIyDG+Fux24t5J0Bw/J2yZ9HWqDEg4cs7wtXc3KwRI0b4tntHxNLT0311Z870/C3a5XL5aq4mNTVVqampoWoZQLD48AdCj1GrmDAg4cs718s7p8vL6XQqMTFROTk5vrrdu3fL4/F0m/fldDo1bty4gWgNiC6BXvkkMQoFRKpgFmyVOJ0fBQYkfOXk5Cg3N1fbtm3zLUkhSQ6HQ9OnT1diYqIkqbS0VOvWrdOePXs0Y8YMSdKJEyd09OhRPfTQQwPRGjA4BBKq3B3STwuD2+//Odi/AMZVjEDoBbNgq8QvUlGgT+GrtbXVt1bX6dOn1dLSou3bt0uSpk6dqmuuuUarV6/WggULNHbsWBUVFcnhcOjQoUPav3+/bz+FhYWaNWuWFi5cqKqqKt8iq+PHj9ecOXNCcHjAIDSQVxQGG9YAGIMFW2NKn8LXX//6V33961/vts37eN++fZo2bZruvvtutba2qrKyUpWVlbLZbKqurlZhYfcPf4fDoYqKCi1ZskRut1slJSXatGkTq9sjdgV7RaHkf0SrLyNkveG0BwD0WZ8SzpgxY+TxeHqtKy8vV3l5ud+atLQ02e122e32vrQCRLdQXVH4yF8DP6URCE57AECfMbwERLJQXVHIKQ0AiBj+7xMEAACAkCJ8AQAAGIjTjkCIdLi71NDUftXn61ytBnYDAIhUhC8gBDrcXSre8Jrqm9rC3QoAIMJx2hEIgYam9oCDV5YlSZkW8wB3BACIVIx8ASH2YnmBsq3Drvp8psUsU0K8gR0BACIJ4QsIsWzrMF2fkRzuNoCo0tucSX6puYJAbgfGmn1hQfgCAES8e+2H/T6fZUnS3uVTCWCXenF2YHWB3POVkBZShC8AQETKtJiVZUkKaD5lfVObDp865/eUv3efUR3Q0rIv3v4rmFuUBXr7MUJayBC+gBBJ1GfKjPtYCU0npTg/PwD4cAICYkqI197lU3tdwsU7Ktbb6JgUAyNkCSZp2e97v51YX+75Gkh92qiL789nnF+ELyAUujq01/Q9Zcd9LP3fXmr5cAICZkqI9zuHMpjRMeniCFlDU3t0z8sM9HZigdzzNdiQ1nzm4j65nZlfhC8gBBL+Vn8xeAWi+Yx0+v9d/YbZgUySBSApsNExqfsIGf5HKENa0+nA55iB8AWEWuMd/59GXmfr+cSlH058SAEh09voGPop0JCGgBG+gBBzp4668gdVsBNh00ZdfA0AIKoQvoDeuDt6HXJPaAkgUAU6EdaLifkAEJUIX4A/7g5p0+ReR6tGBro/hu8BRLve5q3yiyXhC/CruS6o9XLqPBlyp2QNYEMAEOECmdMayJphgRqEYY7wBfjR2dWlxP/5+zc6/0V1ngy/9Q2eDNXGD64PAQDot2DntAa7xpjf9x58y/cQvhC7ApjL9Und+75TinWeDH3o8X+CMcuSpEyLOUQNAsAgEcic1r4s7BqIQbi2GOELsakPc7n+de4EZVx3g9/6qL91CQBcTSBzWgNZMyxQg3htMcIXok8AI1pqOh30XK6M7LGsJQQA/cFFR5IIX4g2AY5oXYq5XAAAIxG+MLj0NqrVhxGtwxfy1KmhfuuYywVEjzpXa681TCHAQCJ8YfAIdlTr3uqr3j/xjKtV99oPqcGTIXv5zcq2DvO7Kz6IgegRyD0esyxJ2rt8Kv/uMSAIXxg8gllzK22UdN3NV7302O35VB96/iJJyrYOYy4XEOUyLWZlWZJU39QWUH19U5samtr5bMCAIHxhcPIzqiVpUC66B2DgmBLitXf5VDU0tfutq3O1BjQyBvQH4QuDk+W6q14x0+Hu+p8PWPdVXx7InA8A0cWUEM9IVrTq7ZZG0sUzIgmJvdcZgPCFqNLh7lLxhtcCPrUAAFfDxPxBJJD1vpa9FTHLXBC+MLACWXPLKwSnChua2oMKXlzFCOBqmJgf4YK9pVEEIXxh4PRhzS2/N1u9ZFj5jKtVbs+nPUou/U31xfICrmIEEBQm5g8igdzS6FJpowa2nyAQvmJJqEehQrzmlqSA7/t1r/2Q72rFq+EqRgDBYmL+IDNIV8wnfMWKYEehertLfAjX3Ar2Zqt1ngw19LIiPacTAfRVsBPze5sbxgg7Lkf4ihXBrJEl9X6X+BCuuSUpoJutBrMwKh92AIzS2wgY88JwubCHL6fTqWXLlumNN95QSkqK/umf/kmPPfaYEhMj43LQqORvFOrSu8T7u3T30udCseZWAEPHLIwKIFIEMzeMeWG4XFjDl8vlUnFxsf7+7/9eO3bsUH19vSoqKtTa2qqnn346nK0NLoHM5bo0LPlZI6ubQC7d7WV/gay5FSjW5gIQKQKZG3bpvDCWrcClwhq+Nm/erJaWFlVXVys9PV2S5Ha7df/99+sHP/iBMjMzw9newApm8ntv+wlivlSvgr10N23UxddcAWtuAYhmwcwNC9WyFf/7C61/BLnIFtbwtXPnTs2YMcMXvCSprKxMS5cu1a5du3TfffeFr7mB1JclGEL11ilZOuO2Sh/3XKbB5579SvhbfcD7U5NbVxrZqnO1DkjwYjI9gMGgL8tWHD517qrzWTvdFzTryf0B7Yt5ZpEtrOHL6XRq4cKF3bZZLBaNHDlSTqczTF311NnRro/O/Dlk+0toOaORAxC8SjqeUGcv39KG9gx1/uRgCN/V/3IPXoGsuRUofqMDMBj0ZdmKUC1f0VuQi0VZliQlJgwJdxuSImDOl8Vi6bHdarXq3Llzfl/b0tKilpYW3+PGxsZQt+fz0Zk/a9T/vWVA9v2Nzn9RXS/LJgSiwZOhTg0NQUehl2VJUsH16QQmADEnkFOTwY6QSVLtd79yxSAxEEEuWuxbPi1iLnoI+9WOfbVx40atWbMm3G30S50nQ4cv5IUsNF3tH2O4MVIFAFcX6AiZl7/P1L4EORgvrOHLarWqubm5x3aXy9VtHtiVVFRUaNGiRb7HjY2NKigoCHmPkvT5UX+vM994PeT7dadkqTa+f/cy9CLgAMDgFezCrv72E0yQiyVZlqRwt+AT1vCVl5fXY25Xc3OzGhsblZeX5/e1qampSk1NHcj2fBJNZo36u3GGvBcAAP0RqiCHgRPWc1SlpaXavXu3mpqafNu2bdumIUOGqKSkJHyNAQAADJCwhq+lS5cqJSVFd911l3bt2qUXXnhBK1as0NKlS6N7jS8AABCzwhq+rFar9uzZo4SEBN111116+OGHtWjRIm3cuDGcbQEAAAyYsF/tmJ+fr927d4e7DQAAAENE3roEAAAAUYzwBQAAYCDCFwAAgIEIXwAAAAYifAEAABiI8AUAAGAgwhcAAICBCF8AAAAGInwBAAAYiPAFAABgoLDfXihU3G63JKmxsTHMnQAAgFjizR7eLNKbqAlfZ8+elSQVFBSEuRMAABCLzp49qzFjxvRaF+fxeDwD387Aa29v17vvvqtrrrlGCQlRkylDrrGxUQUFBTp8+LBGjhwZ7nZiGt+LyMH3IrLw/YgcfC8C43a7dfbsWY0bN05ms7nX+qhJKWazWVOmTAl3G4PGyJEjlZ2dHe42IL4XkYTvRWTh+xE5+F70LpARLy8m3AMAABiI8AUAAGAgwleMSU1N1apVq5SamhruVmIe34vIwfcisvD9iBx8LwZG1Ey4BwAAGAwY+QIAADAQ4QsAAMBAhC8AAAADEb4AAAAMRPiCz+9//3vFx8frc5/7XLhbiTldXV368Y9/rK985SvKyMhQenq6ioqKdODAgXC3FvWcTqdmzpyp5ORkjRgxQt///vfV2dkZ7rZizrZt23TnnXcqOztbycnJmjhxon7+85+La8LC7/z588rOzlZcXJyOHDkS7naiAuELkiSPx6N//ud/1jXXXBPuVmJSW1ubfvSjH2ny5Mn65S9/qS1btshqtaqoqEh79+4Nd3tRy+Vyqbi4WJ2dndqxY4fWr1+vn/3sZ6qoqAh3azFn48aNGjZsmKqqqvTKK6+otLRUixcv1tq1a8PdWsxbt25dwDeMRoA8gMfjsdvtnr/7u7/z/Mu//IsnOTk53O3EHLfb7Tl37lyPbXl5eZ7bbrstTF1Fv/Xr13uSk5M9n3zyiW/bs88+64mPj/fU19eHsbPYc/bs2R7bFi9e7ElNTfV0dXWFoSN4PB7PsWPHPMnJyZ7Nmzd7JHl+97vfhbulqMDIF9TU1KSHH35YP/nJT5SYmBjudmJSfHy8rFZrj23jx49XQ0NDmLqKfjt37tSMGTOUnp7u21ZWVqYLFy5o165dYews9mRkZPTYNmnSJLW0tOjTTz8NQ0eQpGXLlmnp0qWy2WzhbiWqEL6gRx55RJMnT9Ztt90W7lZwCbfbrTfffFP5+fnhbiVqOZ1O5eXlddtmsVg0cuRIOZ3OMHUFr9dff11ZWVlKSUkJdysxafv27Xr33Xf16KOPhruVqJMQ7gYQXm+//bbsdruOHj0a7lZwmR//+Meqr6/Xgw8+GO5WopbL5ZLFYumx3Wq16ty5c8Y3BJ/XX39dW7duVVVVVbhbiUmtra2qqKjQ+vXrubXQACB8RZnm5mY1Njb2WpeTk6OhQ4fq29/+tu6///4ev/2j/4L5Xlx+uvc3v/mNVq1apUcffVSTJ08eqBaBiFRXV6d58+apqKhIDzzwQLjbiUmPPfaYPv/5z+ub3/xmuFuJSoSvKLNt2zYtXry417pjx47p7bff1rFjx7RlyxY1NTVJktrb2yVdnAdmNptlNpsHst2oFsz34tLw+9Zbb+lrX/ua7rnnHob7B5jValVzc3OP7S6Xq9s8MBinqalJpaWlGj58uF566SUNGcLsGKOdPn1aVVVVqq6u9v37OH/+vO/P8+fPsyRRP3Fj7Ri2evVqrVmz5qrPP/TQQ6qsrDSwI7z//vu6+eabNWnSJL3yyisaOnRouFuKal/5ylc0fPhwVVdX+7Y1NzfLarXq5z//ue67777wNReD2traNHPmTP3lL3/RwYMHlZWVFe6WYtJvf/tbFRUVXfX5G2+8UW+++aaBHUUfRr5i2H333adp06Z12/aLX/xCDodDO3fu1OjRo8PTWIxqbGxUSUmJRo8ere3btxO8DFBaWqr169erqanJN/dr27ZtGjJkiEpKSsLbXIxxu90qKyvTsWPHdODAAYJXGE2cOFH79u3rtu3tt9/Wgw8+qM2bN2vKlClh6ix6MPKFblavXq0NGzb4hphhjLa2NhUWFurkyZP61a9+1W2xW5PJpEmTJoWxu+jlcrn0hS98Qbm5ufrBD36g+vp6VVRUaMGCBXr66afD3V5MWbJkiZ577jlVVVXpS1/6UrfnJk2aJJPJFKbOIP3vaNjvfvc7ffGLXwx3O4MeI19ABPjoo4/0hz/8QZJ0xx13dHvuuuuu04cffhiGrqKf1WrVnj17tGzZMt11111KSUnRokWL9Pjjj4e7tZjjXVfte9/7Xo/nTp06pTFjxhjcETBwGPkCAAAwEJeRAAAAGIjwBQAAYCDCFwAAgIEIXwAAAAYifAEAABiI8AUAAGAgwhcAAICBCF8AAAAGInwBAAAYiPAFAABgIMIXAACAgQhfAAAABiJ8AQAAGOj/B+K5TzMv+pXOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hl.plot1d(ax, h)\n",
    "hl.plot1d(ax, h2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can perform a number of intuitive operations using these two histograms.  The most obvious application is to sum them:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 880x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(8, 4))\n",
    "\n",
    "ax = axs[0]\n",
    "hl.plot1d(ax, h)\n",
    "hl.plot1d(ax, h2)\n",
    "hl.plot1d(ax, h + h2, color='k')\n",
    "\n",
    "ax = axs[1]\n",
    "hl.stack1d(ax, [h, h2], colors='C0 C1'.split(), alpha=.67, lw=0)\n",
    "hl.plot1d(ax, h + h2, color='k')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also create more elaborate constructs — and standard error propagation will be applied throughout:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n"
     ]
    },
    {
     "data": {
      "image/png": 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MaFFS8pkSBIBCEbQoKX1N+5kSBKAYmToEAEiIoAUAkBBBiyFz4OjxmLxiR0xesaPbNg0AUK6s0QLgvBxrBfkRtAA4L8daQX5MHQIAJMSIFgDnZQ87yI+gBcB52cMO8mPqEAAgIYIWAEBCBC0AEmHvPBC0AAASI2gBACRE0AIASIigBQCQEEELACAhghYAQEIELQCAhAhaAAAJyStopdPpmD17dlRUVMSECRNi+fLlcfLkyZye46tf/WpcdNFFcdttt+VTAgBA0cv5UOlMJhMzZsyIq6++OrZt2xbNzc3R1NQUHR0dsXnz5gE9xxtvvBFr1qyJD3zgAzkXDABQKnIOWlu2bIn29vbYvn17jB07NiIiOjs7Y/HixbFy5cqYOHHieZ9j+fLl8alPfSoOHTqUe8UAACUi56nDnTt3xqxZs7IhKyJi3rx5cfr06di1a9d5+z///PPx13/917F+/fpcfzUARWDKuIo4uP7WOLj+1pgyrqLQ5UBRy3lEK51Ox4IFC7q1VVdXR01NTaTT6X77njp1Ku666664//77o6amZsC/s729Pdrb27P3W1pacisaAKAA8lqjVV1d3aM9lUrFsWPH+u376KOPxvHjx+Oee+7J6Xdu2rQp1qxZk1MfSsuBo8eztw9nOnq9HRG+PQNQUnIOWvl68803Y9WqVfHNb34zLr300pz6NjU1xcKFC7P3W1paor6+frBLpICmb9jXa/sdj+/vdv/g+luHoBoAGBw5B61UKhVtbW092jOZTLd1W+datWpVXHfddfHxj388WltbI+Jni+g7OzujtbU1Lr/88rj44t7LqaqqiqqqqlxLBQAoqJyDVl1dXY+1WG1tbdHS0hJ1dXV99kun0/EP//APkUqlevwslUrFzp0749d+7ddyLYcysXfptOztw5mO7EjWU3fWR21qTIGqAnJlGQB0l3PQmjt3bqxbty5aW1uza7W2bt0aI0aMiDlz5vTZ76tf/Wp2JOuMu+++O0aPHh0PP/xwXHfddbmWQhnp649ubWqMP8hQQiwDgO5yDlqNjY3xyCOPRENDQ6xcuTKam5tj2bJl0djY2G0PrZkzZ8ahQ4fitddei4iI66+/vsdzVVdXx+WXXx7Tpk3L+wUAABSrvNZo7dmzJ5YsWRINDQ1RWVkZCxcujLVr13Z73KlTp6Kzs3PQCgWg+FkGAN3lddXh1KlTY/fu3f0+Zt++fed9noE8Bi7Umc0VgeRZBgDd5XWoNAAA5ydoccEOHD0ek1fsiMkrdnS74ggAhjtBCwAgIYIWAEBChuwIHhhsFrkDUOyMaAEAJETQAgBIiKBFn1xNCAAXRtACAEiIxfAk6uyRsMOZjl5vR/S9mzQAlDJBi0RN37Cv1/Yz55+d4epBAMqRqUMAgIQY0SJRe5dOy94+nOnIjmQ9dWd91KbGFKgqABgaghaJ6mvtVW1qjHVZAJQ9U4cAAAkxogVAIhyTBUa0AAASI2gBUFBOoaCcCVoAAAkRtAAAEiJoAQAkRNACAEiIoAUAkBBBCwAgIYIWAEBCBC0AgIQIWgAACRG0AAASImgBACRE0AIASIigBQCQEEELACAhFxe6AACGnwNHj2dvH8509Ho7ImLKuIohqwmSIGgBMOSmb9jXa/sdj+/vdv/g+luHoBpIjqBF0ZkyrsIfVwDKgqAFwJDbu3Ra9vbhTEd2JOupO+ujNjWmQFXB4BO0CuTA0ePZofO9S6dZhwAMK339zatNjfH3kLLiqkMAgIQIWgAACRG0AAASImgBACRE0AIASIigBQCQEEELgJJw4OjxmLxiR0xesaPbET5QzAQtAICECFoAAAkRtAAAEiJoAQAkxFmH5OXshaiHMx293o7o+zwzABgOBC3ycuZA7HPd8fj+bvcPrr91CKoBgOJk6hAAICFGtMjL3qXTsrcPZzqyI1lP3VkftakxBaoKAIqLoEXWuRsA5rP2qjY1xrosICdTxlVYZkDZErTI6mvdVcTgrL3yxxSA4cYaLQCAhBjRIuvsdVcR1l4BwIUStMjqb22VtVdAIdizj1InaAFQtOzZR6mzRgsAICFGtAAoWvbso9QJWgAULXv2UepMHQIAJETQAgBIiKBVJg4cPR6TV+yIySt29DhKBwAoDEELACAhghYAQEIELQCAhAhaAAAJEbQAABKSV9BKp9Mxe/bsqKioiAkTJsTy5cvj5MmT/fZpaWmJ5cuXx/XXXx+VlZVRW1sbn/3sZ+PQoUN5FQ4AUOxy3hk+k8nEjBkz4uqrr45t27ZFc3NzNDU1RUdHR2zevLnPfi+99FJs27YtFixYEL/8y78cR48ejYceeijq6+vj3/7t32L8+PEX9EIAAIpNzkFry5Yt0d7eHtu3b4+xY8dGRERnZ2csXrw4Vq5cGRMnTuy136/8yq9EOp2Oiy/+f7/ylltuiUmTJsU3v/nNuPfee/N8CQAAxSnnqcOdO3fGrFmzsiErImLevHlx+vTp2LVrV5/9qquru4WsiIja2toYP358/PSnP821DACGmSnjKuLg+lvj4PpbnXNIycg5aKXT6airq+vWVl1dHTU1NZFOp3N6rv/6r/+KN998M6ZOnZprGQDQKydlUEzyWqNVXV3doz2VSsWxY8cG/DxdXV3xxS9+MSZOnBif+cxn+n1se3t7tLe3Z++3tLQM+PcAABRKzkFrsKxevTr27NkT3/ve96Kiov8h4E2bNsWaNWuGqDIAgMGR89RhKpWKtra2Hu2ZTKbbuq3+fP3rX48HH3wwvva1r8XMmTPP+/impqZ4/fXXs//279+fa9kAAEMu5xGturq6Hmux2traoqWlpcfard5s3749vvCFL8SDDz4YCxYsGNDvrKqqiqqqqlxLBQAoqJxHtObOnRu7d++O1tbWbNvWrVtjxIgRMWfOnH777tu3Lz7zmc/EokWL4o/+6I9yLhYAoJTkHLQaGxujsrIyGhoaYteuXfHEE0/EsmXLorGxsdseWjNnzoyrrroqe//VV1+NhoaGuPrqq+OOO+6IF154Ifvvf/7nfwbn1QAAFJGcpw5TqVTs2bMnlixZEg0NDVFZWRkLFy6MtWvXdnvcqVOnorOzM3v/n/7pn6KtrS3a2triYx/7WLfHfu5zn4snn3wyv1cAAFCk8rrqcOrUqbF79+5+H7Nv375u9+fPnx/z58/P59cBAJSkvA6VBgDg/AQtAICEFGzDUgAYLGcftXM409Hr7YhwRiJDTtACoORN37Cv1/Y7Hu++wfXB9bcOQTXw/5g6BGBYcvg0Q8GIFgAlb+/SadnbhzMd2ZGsp+6sj9rUmAJVBYIWAGWgr7VXtakx1mVRUKYOAQASImgBACRE0AIASIigBQCQEEELACAhghYAQEIELQCAhAhaAAAJsWHpEHLoKQAML4LWEHLoKUBh+cLLUBO0uGBTxlUIh0BJ8IWXoSZoDSGHngIkz5c/iomgNYQcegpQWL7wMtQErSJ34Ojx7FD33qXTLjiQ5fJ8vhUC5cYXXoaa7R0AABIiaAEAJETQAgBIiKAFAJAQQQsA+nHg6PGYvGJHTF6xo9uGpzAQghYAQEIELQCAhNhHq4Q5swsAipugVcKc2QUAxc3UIQBAQoxolTBndgFAcRO0SpgzuwDy5zxXhoKpQwCAhBjRAoBzDPSq7ghXdtM/QQsAzjHQq7ojXNlN/0wdAgAkxIgWAJzDVd0MFkELAM7hqm4Gi6lDAICECFoAAAkRtAAAEiJoAQAkRNACAEiIoAUAg+TA0eMxecWOmLxiR7fd5Rm+BC0AgITYR6sIDfSMrYHu5TLYzwcADIygVYQGesbWQM/XGuznAwAGRtACgH5MGVfhiyh5E7SK0GCfseXMLgAoDEGrCA32GVvO7AKAwhC0AOACuOCI/ghaAHABkrzg6MDR49nn37t0mrBWguyjBQCQECNaAHABXHBEfwQtALgALjiiP6YOAQASImgBACTE1CEAFBHbRZQXQQsAiojzacuLqUMAgIQY0QKAIdbfRqS2iygvghYADJIp4youeErPdhHlxdQhAEBCBC0AgISYOgSAIWDbhuFJ0AKAIWDbhuHJ1CEAQEKMaAHAEMhn24bBuIqRwhK0AGAI2LZheMpr6jCdTsfs2bOjoqIiJkyYEMuXL4+TJ0+et19XV1esX78+Jk2aFKNHj46bb745XnjhhXxKAAAoejkHrUwmEzNmzIiTJ0/Gtm3bYt26dfHYY49FU1PTefv+8R//cTzwwANxzz33xN/+7d9GTU1NzJkzJ3784x/nVTwAQDHLeepwy5Yt0d7eHtu3b4+xY8dGRERnZ2csXrw4Vq5cGRMnTuy134kTJ+Lhhx+Oe++9N+65556IiPj4xz8eH/7wh2PDhg3x6KOPXsDLAAAoPjmPaO3cuTNmzZqVDVkREfPmzYvTp0/Hrl27+uz3gx/8INrb22PevHnZtksvvTR+8zd/M5599tlcywCAknVmkfvB9bdan1Xmch7RSqfTsWDBgm5t1dXVUVNTE+l0ut9+ERF1dXXd2qdOnRo/+clP4p133onRo0fnWk6izt5cbjD4nwmAwTLYn1HlpJg+b3MOWplMJqqrq3u0p1KpOHbsWL/9Lrvsshg1alSPfl1dXZHJZPoMWu3t7dHe3p6939LSkmvZeelrc7l8uUQXgMEy2J9R5aSYPm9LYnuHTZs2xZo1awpdBgBATnIOWqlUKtra2nq0ZzKZbuu2euv37rvvxokTJ7qNamUymbjooosilUr12bepqSkWLlyYvd/S0hL19fW5lp6zszeXK5TB3qzO5ncA5aEYPqM4v5yDVl1dXY+1WG1tbdHS0tJj/dW5/SIi/vM//zM++tGPZtvT6XR2X62+VFVVRVVVVa6lXrBimuM9HwEKYHgppc+o4Sznqw7nzp0bu3fvjtbW1mzb1q1bY8SIETFnzpw++91yyy1RVVUVW7duzba99957sW3btvjkJz+ZaxkAAEUv5xGtxsbGeOSRR6KhoSFWrlwZzc3NsWzZsmhsbOy2h9bMmTPj0KFD8dprr0VExKhRo+JLX/pSrF69OsaPHx/XXnttPProo/HWW2/F0qVLB+8VlQgjUABQ/vJao7Vnz55YsmRJNDQ0RGVlZSxcuDDWrl3b7XGnTp2Kzs7Obm333XdfdHV1xYYNG+LIkSNx/fXXx9/93d/Fhz70oQt7FQAAReiirq6urkIXkavDhw/HFVdcEa+//nrU1tYWuhwAYBjJJYfkdag0AADnJ2gBACRE0AIASIigBQCQEEELACAhghYAQEIELQCAhAhaAAAJEbQAABIiaAEAJETQAgBIiKAFAJAQQQsAICGCFgBAQi4udAH56OzsjIiIlpaWAlcCAAw3Z/LHmTzSn5IMWkeOHImIiPr6+gJXAgAMV0eOHInJkyf3+5iLurq6uoamnMFz4sSJeOWVV2L8+PFx8cUlmRX71dLSEvX19bF///6oqakpdDmcxXtT3Lw/xct7U7y8N7nr7OyMI0eOxLXXXhujRo3q97ElmVJGjRoVN910U6HLSFxNTU3U1tYWugx64b0pbt6f4uW9KV7em9ycbyTrDIvhAQASImgBACRE0CpCVVVV8cADD0RVVVWhS+Ec3pvi5v0pXt6b4uW9SVZJLoYHACgFRrQAABIiaAEAJETQAgBIiKAFAJAQQavEvPTSSzFy5Mi4/PLLC13KsHfq1Kn4yle+Ep/4xCdi3LhxMXbs2Jg+fXp8//vfL3Rpw046nY7Zs2dHRUVFTJgwIZYvXx4nT54sdFnD3tatW+M3fuM3ora2NioqKuL666+Pb3zjG+EarOLz9ttvR21tbVx00UXxz//8z4Uup6wIWiWkq6sr7rrrrhg/fnyhSyEi3nnnnXj44YfjxhtvjD//8z+PZ555JlKpVEyfPj3+/u//vtDlDRuZTCZmzJgRJ0+ejG3btsW6devisccei6ampkKXNuxt2rQpxowZExs3bozvfve7MXfu3Fi0aFE8+OCDhS6Nczz00EMDOiCZPHRRMh5//PGuq666qutLX/pSV0VFRaHLGfY6Ozu7jh071qOtrq6u67bbbitQVcPPunXruioqKrreeuutbNvXvva1rpEjR3Y1NzcXsDKOHDnSo23RokVdVVVVXadOnSpARfTm1Vdf7aqoqOjasmVLV0R0vfjii4UuqawY0SoRra2tsWLFiviTP/mTuPTSSwtdDhExcuTISKVSPdquu+66+OlPf1qgqoafnTt3xqxZs2Ls2LHZtnnz5sXp06dj165dBayMcePG9Wi74YYbor29PY4fP16AiujNkiVLorGxMa655ppCl1KWBK0S8Yd/+Idx4403xm233VboUuhHZ2dnvPDCCzF16tRClzJspNPpqKur69ZWXV0dNTU1kU6nC1QVfXn++efjgx/8YFRWVha6FCLiO9/5TrzyyiuxatWqQpdSti4udAGc38svvxyPP/54/Mu//EuhS+E8vvKVr0Rzc3Pcc889hS5l2MhkMlFdXd2jPZVKxbFjx4a+IPr0/PPPx7e+9a3YuHFjoUshIjo6OqKpqSnWrVvn+J0ECVoF0NbWFi0tLed93Ic+9KG45JJL4g/+4A9i8eLFPb61M/hyeW/OncJ97rnn4oEHHohVq1bFjTfemFSJUJIOHz4ct99+e0yfPj2++MUvFrocIuLLX/5y/NzP/Vx8/vOfL3QpZU3QKoCtW7fGokWLzvu4V199NV5++eV49dVX45lnnonW1taIiDhx4kRE/Gzd1qhRo2LUqFFJljus5PLenB18f/jDH8anP/3p+OxnP2sIfoilUqloa2vr0Z7JZLqt26JwWltbY+7cufH+978//uqv/ipGjLBqpdAOHToUGzdujO3bt2f//3n77bez/3377bdtIzRIHCpd5FavXh1r1qzp8+f33XdfrF+/fggr4lyvvfZafOxjH4sbbrghvvvd78Yll1xS6JKGlU984hPx/ve/P7Zv355ta2tri1QqFd/4xjdi/vz5hSuOeOedd2L27Nnxk5/8JP7xH/8xPvjBDxa6JCJi3759MX369D5//ku/9EvxwgsvDGFF5cuIVpGbP39+TJs2rVvbk08+Gd/+9rdj586dMWnSpMIURkREtLS0xJw5c2LSpEnxne98R8gqgLlz58a6deuitbU1u1Zr69atMWLEiJgzZ05hixvmOjs7Y968efHqq6/G97//fSGriFx//fWxd+/ebm0vv/xy3HPPPbFly5a46aabClRZ+TGiVYJWr14dGzZsyA7zUhjvvPNO3HzzzfHjH/84nn766W4byV522WVxww03FLC64SOTycRHPvKR+PCHPxwrV66M5ubmaGpqit/93d+NzZs3F7q8Ye33f//34+tf/3ps3Lgxbrnllm4/u+GGG+Kyyy4rUGX05swo14svvhi/+Iu/WOhyyoYRLcjT//7v/8a//uu/RkTEpz71qW4/u/LKK+PgwYMFqGr4SaVSsWfPnliyZEk0NDREZWVlLFy4MNauXVvo0oa9M/uY3XvvvT1+duDAgZg8efIQVwRDz4gWAEBCXPoBAJAQQQsAICGCFgBAQgQtAICECFoAAAkRtAAAEiJoAQAkRNACAEiIoAUAkBBBCwAgIYIWAEBCBC0AgIQIWgAACfn/AKiozoIUbO3IAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hl.plot1d(ax, h / (h + h2), crosses=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An observant reader may notice that in this particular case, the errors on `h` and `h + h2` are correlated, and thus naive error propagation overestimates the errors.  Histlite provides a convenient way to obtain error estimates with proper coverage for the special case of $\\text{denominator} = \\text{numerator} + \\text{something else}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hl.plot1d(ax, h.efficiency(h + h2), crosses=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also see from the above examples that `histlite.Hist` is not strictly required to be meaningfully interpretted as a \"histogram\" in the classic sense.  For example, it is perfectly happy with negative values:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hl.plot1d(ax, h - h2, crosses=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One can imagine constructing a highly descriptive class hierarchy to represent all manner of data structures that boil down to \"values and errors per bin\".  For histlite, we made the design decision to represent all of these with `histlite.Hist` to avoid the sort of complexity we see in, for example, integer to float promotion under division."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First 2D histogram"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As mentioned above, histlite is fully generalized to N-dimensions throughout, with no special-casing for specific numbers of dimensions.  Let's try constructing a 2D histogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.random.normal(loc=0, scale=2, size=x.size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "hh = hl.hist((x, y), bins=51, range=(-5, 5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot this histogram, `hh`, easily like so:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x7f079ae42160>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.set_aspect('equal')\n",
    "hl.plot2d(ax, hh)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have a number of options for customizing this plot.  Let's try adding a colorbar, log-scaling the colormap, and specifying the color limits:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'colormesh': <matplotlib.collections.QuadMesh at 0x7f079b0e91c0>,\n",
       " 'colorbar': <matplotlib.colorbar.Colorbar at 0x7f079abf0700>}"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.set_aspect('equal')\n",
    "hl.plot2d(ax, hh, cbar=True, log=True, vmin=1, vmax=1e2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unlike the `histlite.plot1d()` case, it is often convenient to customize the underlying matplotlib objects after `histlite.plot2d()` is finished.  For example, we may want to label the colorbar.  We can do this by digging into the dictionary returned by `histlite.plot2d()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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M4AAA4DFLUiTqwAJhi0XGMZHgAADgMW7V4D6mqAAAgO8wggMAgMdYZOw+EhwAADwWFYfuRcUanJhI/QAAgO8wguOweNe6sFvHxm7/Tec31RIxMdUqqfv2ZDU+dFujGv9oQabegdTYtWACaXqdmOg5/eMWubxFP/5sPzVefyKoxrW+i4ikDWpV45HPMvT2cyJ63CDjqF4HaMRv9O/dodtz1XhBtd4/03tn76qH1LiJ6bNhEu+fLXAWu6jcxwgOAADwHUZwAADwGPeich8jOAAAeOziLionHiIiY8eOlcLCQlm9enWcX1niYAQHAIAkV11dLcXFxfHuRkIhwQEAwGNRy6Ft4lQyjokEBwAAj0Ud2kVFHZzYWIMDAAB8hxEcnzHVyphRulyNb6laFtfzm+rk1JbptU5Mjt+gH5+Zp9daafskdq2ZaLpep0aC7WrYVOdG+uvHm6SeSNe/YLheJ6bg8tNq/NQfBqrxwBC9zk9ai14Hx1TnJnhY304Svkr/cZemd8/o5nJ9caehipDrNahMqLPjLcuhKSqLKaqYGMEBAAC+wwgOAAAeY5Gx+0hwAADwGAmO+5iiAgAAvuNJgrN+/Xq5++67pbi4WLKzs2XcuHHy4osvimVRYxoA0PdcHMFx4oHueTJFtXbtWikpKZE1a9ZIQUGBvPHGGzJ//nw5cuSILFtmb9cOAADJxhJnatgwTBCbJwnOa6+9JoMGDer4/9SpU+XUqVOydu1a+e53vyuBADNlAADAOZ4kOH+d3Fw0fvx4+fGPfyxnz56VYDB2bRE4y26dG7tMdWhMQh/rtVqOfSFVjQcP6X8xDV+pn/+TRc0xY+n99Do1aalRNX6mPlONB+r1OjnRvPNqPDg6rMYz0vRr+1lDtn7+NP1vyehneiWYppH6+fN+b+/HlanOzeCdeg0kU52Z7S7XsbFbp4Y6N4mFRcbui9suqh07dsjQoUNJbgAAfU5UHEpwuFVDTHFJcHbs2CGvvPKKrFmzRv26xsZGaWz8y19VdXV1bncNAAD4gOcJztGjR+Xee++VsrIyefDBB9WvXbt2rSxfrpf2BwAg2TBF5T5PV/fW19fLzJkzZeDAgfLLX/7SuLi4srJSjhw50vHYtWuXRz0FAADJzLMRnJaWFrnzzjuloaFB3n33XRkwYIDxmNzcXMnNtbcoFQCARMMIjvs8SXAikYjMnj1b9u/fL9u3b5ehQ4d6cVoAABKTleLMncBJcGLyJMFZsGCB/PrXv5Y1a9ZIY2Oj7Ny5syM2fvx46d+/vxfdAAAAfYQnCc7WrVtFROThhx/uEvv000+lpKTEi27AAaZaHa2zJqrxPa8uUuOjlq1T45FM/S3bnqXXomm8sU2N15fqyXYwI3YxleaP9WlX/cwiJeOPqfH6gXqdnHNt+rVpbk1X4+399DVxoWDsGkAiIidbDT9Ozuk1inL+oB/fmq8335qv/yUbPOxuzdfSuWvVeNVLla6e326dG7fr8KCzqKQ4ssWbbeKxeZLgHDx40IvTAACQFFiD4z7ukQAAAHwnbpWMAQDoqyyHFhk7slDZpxjBAQAAvsMIDgAAHotazqyfibq7dj6pkeAAAOAxpqjcxxQVAADwHUZwkozfa1UUVEfU+Mmx+ls2b79eayV4pJ8aP3K3Pt579qBy65DLWtVjLy/6TI2fas5W4xlp+rVpbNDr5Ey64qAa33uiSI03NOvtZwbPqfGWJv31NY3UX1/GUf17nxa7RJGIiJy+Ro+LBNVo3m79aFOdm5vLV6vx7XH+7Cb7z45kYzm0TZwRnNhIcAAA8JglIpYD62dYghMbU1QAAMB3GMEBAMBj3KrBfYzgAAAA32EEBwAAj7FN3H0kOAAAeIybbbqPKSoAAJLc2LFjpbCwUFav1ssR9CWM4CQZt2tVmOrsmGx/dZEan1G6XI23jtFrkQQP65sizwzX/5qp/7xhU2XE8NfQoNi1XqJn9Ro7hZlNajw3Xa8jU9ek1OARkQklR9R40/n+ajw1NarGL8tuUOMHDxeqcemnX3tTnZvodfr1a/lUr7MTPKR/b/P3NqpxmTBGDRvr3Bg+G3Y/eybUuUksluXQNvE/t1FdXS3FxcX2G/QREhwAALzm0BocYYoqJqaoAACA7zCCAwCAx9hF5T4SHAAAPMYuKvcxRQUAAHyHERwAADzm9C4qdMUIDgAA8B1GcJKMqVaGqdaF3VobpvZL565V4/mG9s/n6PPJrYYGoumGE7QYcvpMvRZMyrGMmLG04c3qsSdactT4sfoBajzNUKcmK9Smxk0y0iJq/GybfnGLh32mxk806DWOoif069N2Ova1FxHJOaG/d5qHqGGJ7t6rf4FBluh1cqhzg792YQTHiUXGDnTGp0hwAADwmCUO7aLibuIxMUUFAAB8hxEcAAA8Zv354UQ76B4JDgAAHqPQn/uYogIAAL7DCA4AAF5jjsp1jOAAAADfYQSnjwlM0Gt1mGqBzChdrsbzDMefvu9GNW6qVTLggP7nyulr9OMlR6/1kjfwrBpvyu4fMxYK6nVwzrbFPvZSDMhqUePNEVMRIF17VJ/Lb2rV+5+b0arG28720ztQqH9v0vMN7Q/Q6+ikN+inb501Uf8Cg6xa/ftvF3VufMahNTjCGpyYSHAAAPAYt2pwH1NUAADAdxjBAQDAY2wTdx8JDgAAXrNSnFk/Q4ITE1NUAADAdxjBAQDAYywydh8JDgAAXqPQn+tIcJKMqRbGtMA9tto31QLJ+NUuNW63f+cfmKzGWwpM8836pz31hF4rpv5cqt58Wuz2WzPOq4dm929T4zkZ59R42eA/qPH/d3S0Gh+Urdf4SQ3o125w7hk1fqx+gBrPDOqvr+VclhpvazTUERqmt5/eYK8O0Zlh+o/LrFpbzQNwGAkOAAAeYxeV+1hkDAAAfIcRHAAA4oH1M64iwQEAwGNMUbmPKSoAAOA7jOAAAOA1tom7jgQHAADPpfz54UQ76A4Jjs/YrUNjqnMTmDCmx336a6b+jVq2To0HD+t/rkQy9Q976+B2vf3BTWpcPXe7PuN7ukmv8zIsP6zGD5wtUOMNzZlqPDejVY2HMpvV+MFT+WrcVCfnYO0gNW6Slq3XEYr+SX/9aS22Tm90ekxQjeft1o831aAyfXZNny2gryHBAQDAa0xRuY5FxgAAwHcYwQEAwGuM4LiOBAcAAK9ZIuJEDRsSnJiYogIAAAnl4MGD8uabb8rp06d73QYJDgAAHrMs5x7J7uGHH5Z/+Zd/6fj/pk2b5Oqrr5bp06fLyJEjZfduwxbEGEhwAADwmuXgI8lt2rRJrr/++o7/L126VG6//Xb5/e9/LxMnTpRHH320V+2yBqePsVvHZkvVMjU+o3S5Gm8eqteCCYZS1fj5HHtz1plFZ9X4mXq9lkrJ0M9ixk6dzVaPHRjUz12YqdfgOdGSo8avLjyhxvP763VuIpb+987R1Dw1bnr9wTy9EE1JSB+K3vdBiRo3adXL+Mjgnfr1aQ3pdW7y9+p1gMTw2TPVoKLODfyqrq5Ohg8fLiIin3zyiXz00Ufyn//5nzJmzBhZuHCh3Hfffb1qlwQHAACvWSkOLTJO/krGAwYMkBMnLvyB9sYbb0h+fr5MmDBBRET69+8vLS29q9JJggMAAOLmlltukccee0yOHz8uTz31lJSXl3fEPvroo47RnZ5iDQ4AAB5LEZEUy4FHvF+IA9atWydDhgyRRx55RIYPHy4rVqzoiP3Hf/yH3Hzzzb1qlxEcAAC8RqG/DkOHDpXf/va33ca2bNkimZn62shYGMEBAABxM3XqVKmpqek29qc//UlmzJjRq3YZwQEAwGssMu7w9ttvS2NjY7exxsZG+b//+79etUuCAwCA15ii6iQlpftE7Z133pHCwsJetUmC4zPTAveocbu1NEztm5y5YbIaDx6J6McP19+yaYbdhE11eq0WU52cY/UDYsai7fpfUsV59Wo8EtVrADW2ZqjxrJzzavxEq15HJy9dv3ijBul1dkyq6y5T4wc+G6TGo2n6T/JARL/+BdX6e8tUo8lUgym6e68aN9WgMsVNNaZM56eODhLJk08+KU8++aSIXEhuysrKJBDovGrm3LlzEolEZMGCBb06BwkOAABe6+MjOJMnT5aHH35YLMuS733ve/KVr3xFiouLO31Nenq6jB49Wu66665enYMEBwAAr/XxBOfWW2+VW2+9VUQujODMnz9fLrtMH+XtKRIcAAAQN8uW6bcA6i0SHAAAvMYuqg7RaFR+8pOfyIYNG+To0aPS2traKZ6SkiKffPJJj9slwQEAAL22dOlS+a//+i85ePCg/OEPf5Arr7yyR8cvWbJE1qxZI7feequUlZVJenq6I/3yLMGpqamRhQsXyjvvvCPBYFC+/vWvyxNPPOHYCwEAIFlcvNWCE+3E25133in//M//3OtbKvz85z+X5cuXy3e/+11H++VJJeNwOCxTp06VtrY22bhxo6xcuVKef/55qays9OL0AAAkFsvBRy8cOHBAKioqZNy4cZKWliZjxnRfpqCmpkamTZsm2dnZMmTIEFm8eLG0tbV1+prJkyfLsGHDetcREWltbZXJk/USIr3hyQjOc889J42NjbJp0ybJz88XEenY27506VLHV073ZaZaF3br5JhqdZhqcdiVcVqPN46MqvH0sF5rpsVwz5PgwNh1clIz9HPnpLWp8dPn9HMX5zao8dx+rWrcVAen7myuGg+mn1PjVwZPqvGDWSE1fiqs989U5yYabFfj4av6qXFTDSUTt+vMxLvGFXV0/GXfvn3y+uuvy6RJkyQajUo02vXn18XBiZEjR8rGjRultrZWKisrpbm5WZ555hnH+vK1r31NXnvtNfn7v/97x9oU8SjB2bx5s9x2220dyY2IyOzZs6WiokK2bt0qc+bM8aIbAABARO666y65++67RURkzpw58t5773X5Gq8GJ2644QZ59NFH5fjx4zJt2jTJy8vr8jVf/OIXe9yuJwlOTU2N3H///Z2ey8vLk6Kiopg32AIAwK9SxKE1OL087m+rBnfHq8GJf/zHfxQRkUOHDskvfvGLLvGUlBRpb9dHaLvjSYITDoe7zchCoZCcPh17zqGxsbHTDbjq6urc6B4AAEntb38/5ubmSm6uPu1s4tXgxKeffupYW38tobeJr127VpYv1++/AgBA0nG4Ds7EiRM7Pb1s2TJ5/PHHbTV9qYMTixcvlpdffln+9Kc/yc033ywlJSXy7rvvXvJ5RowYYaufsXiS4IRCIWlo6LpAMhwOdxr6+luVlZUyb968jv/X1dV1+SYCANDX7dq1S4qKijr+b3f0pidWrVolq1at6vXxhw8fNn7N8OHDe9yuJwnOqFGjugxnNTQ0SF1dnYwaNSrmcU4MsQEAkHAcvhdVUVFRl5tV2tXbwYmeKikpkZQUfTQrYdfgzJw5U1auXCn19fUdw13r16+XQCAg06dP96ILAAAkjiS42WZvByd6atOmTV2eC4fDsmXLFtm5c6f84Ac/6FW7niQ4FRUV8vTTT0t5ebksXbpUamtrZdGiRVJRUUENHI+ZalnMKNXXPJ0eE1Tjebv18wePRPQvMDgzQv80RzP1WjRthlop6cf0WiklV8ZeFJ8W0M9dte8KNf4PpfrFq/pMH6Id2D92jR4RkbZ2vQZQUXajGt97okiNmwzJOaPGT540jNYavnepp/QfZ6Y6N62GP0gLqvX3rt06MqbjTTWoAKd5NThxcbv635ozZ45UVlbK//7v/8q9997b43Y9qWQcCoXkrbfekrS0NCkvL5dHHnlE5s2bJ2vXrvXi9AAAJJSLt2pw4tEbzc3NsmHDBtmwYYMcOnRIGhsbO/5/8uSFop0VFRUSDAalvLxctm7dKi+99JLngxO33367vPLKK7061rNdVKNHj5Y333zTq9MBAJC44jxFdeLECbnnns6jhhf/v23bNpkyZUrH4MTChQulvLxcgsGgzJs3T1asWGG315fsnXfekYyMjF4dm9DbxAEAgPNKSkrEsszZkReDEw8++GCX59ra2mT//v2yY8cO+fa3v92rdklwAADwWhIsMvbKa6+91uW5jIwMKS4ulh/96EedysX0BAkOAABJbuzYsZKamiqLFi2SRYsWxbs7PdInKxkDAOBHdhYI/207IiLV1dWO18FJdp7sogIAAH/l4q0anHj4wAcffCD33HOPFBUVSf/+/aWoqEhmz54te/bs6XWbjOCgR/J+dun3F+lOVm2zGjfV2blsh14L5Xip/pZuC+nHR0fqtWRONufEjKWlGmrs5Leq8QNnCtR4Qabet+Mt+rXLSjuvxgOGPycLg3odm/11g9V4pFX/3qQf6a/GA21q2Khfk/76Ipn6L4qMX+2ydX67dW62VC2zdX4TU50ewC3bt2+XadOmyZAhQ+QrX/mKDB48WI4fPy6bNm2SG2+8Ud544w35whe+0ON2SXAAAIgHHywQdsIjjzwiU6ZMkV//+teSlvaXtGT16tVyxx13yCOPPCI7duzocbskOAAAeMzpNTjJ7IMPPpANGzZ0Sm5ERFJTU+XBBx+UL3/5y71qlzU4AAAgbrKzs+XEiRPdxo4fPy7Z2dm9apcEBwAAr1kOPpLcXXfdJUuWLOlSUPDNN9+U73znOzJr1qxetcsUFQAAXnNoisoPCc6aNWtk3759MmPGDMnNzZXCwkI5ceKENDY2SmlpqTz11FO9apcEBwAAxE0oFJJ3331Xfv3rX8uOHTskHA5Lfn6+fOELX5A77rhDAoHeTTaR4AAA4DVu1dDhrbfeksOHD8vcuXO7TEf99Kc/lREjRkhZWVmP2yXB6WNMtThMtTDsHn9z+Wo1nr9Xr7VSW5arxtsuM9R6OZOqxq3DWWq8dfS5mDHT/W6vLux+Ed1FB8P5atxUh6Y4u0GNnz6nv7bapgFq/HijXmcnJzv2tRERac/QvzctGRE1HlWjIpEGvY5OWov+4y70sX5+k5MPTFbjBc++o8aju/faOj/6tmS+VcOjjz4qd999d7exkydPyo9//GP53e9+1+N2WWQMAIDXHF5kXF1dLSdOnEi65EZEZN++fXL99dd3G/v85z8v+/bt61W7jOAAAOAx6uD8RUpKijQ0dD8CHQ6Hpb1drxIfCyM4AAAgbiZNmiTPPvusWFbnbM2yLPnRj34kkyZN6lW7jOAAAIC4Wb58uZSVlcl1110nc+bMkaKiIjl27Jj8+7//u3z88cfy9ttv96pdEhwAALzGLqoON954o7z11luyePFiWbJkiUSjUQkEAh3P33DDDb1qlwQHAADE1U033SS/+93vpKWlRcLhsOTl5UlWlr7z04QEBwAAj7HIuHuZmZmSmZnpSFskOH2M3To3JjNKl6vx1jF6LZXwVXqdG1OtkrYB/dR4ul4qRtomNanxjLTY52+PpqjHnmzOUeOjBul1ctIC+k6Cj8KFarwop1GN17fqP1QGZLWq8VBmsxqvO6N/byOf6ZWE8kbo37x6w/ERw8/M1pBeI8lU5yh4RH9vts6aqMa3v5p823uBREaCAwBAPPhs9CXRkOAAAOA1Fhm7jjo4AADAd0hwAADw2MVFxk48RC7ci6qwsFBWr9bv99eXMEUFAIDXHJ6iqq6uluLiYgca9A9GcAAAgO8wggMAgMeog+M+Epw+xlTnxlQnx8RUB+d8jl4rZug2vVbL8Rv0WiptIb1WTNY4vZZK0zG9/RPnYtdKGT74tHrsqbPZavxgNKTGrwx9psYvH3BKjQ/LDKvx3H56nZuIpQ/4vn9MHx5vOdNfjZs078nXv8Dwvc/Qvz3SUqC/N/P0wyWrVq8DFN29V43b/Wy6/dkGkg0JDgAAXmObuOtIcAAA8BoJjutYZAwAAHyHERwAADzGImP3keAAAOA1pqhcxxQVAADwHUZwAACIB0ZfXEWCgx4x1dponTVRje95+iE1Xjp3rd6+oRSKZEb1+P8zNPD582p4YKgpZiw1oJ870q4PmA4JnVHjnzYMVON/l6fXyXntj2PU+MDgWTXePzWixs+19FPj115eq8b31w1W4xLW6whlHI9do+hShD7WX19ggn79TOrvu1GNV71Uaat96twkF9bguI8pKgAAkhw32+yKERwAALzGzTZdxwgOAADwHUZwAADwGGtw3EeCAwCA16iD4zqmqAAAgO8wggMAgNcYwXEdCU6SMdWhiXctjO2vLlLjpjo3+Xv1WjANV+aq8YyDei0Wk9RT+kfiZCQU+9jhp9VjczLOqfGDYb1Gz9mm/mr88wVH1PhNwz5V45+e0c//yZFCNZ6WodeR+fDAMDUe6K8fHwm1q/GCKn1AOu9n76pxUw2n5qFZajyrtlmN261zY2L3Z0Oi/2zxm5Q/P5xoB91jigoAAPgOIzgAAHiNKSrXMYIDAAB8hxEcAAC85lAdHEZwYiPBAQDAa0xRuY4pKgAA4DuM4AAAEA+MvriKBCfBuF2LIjBhjK3jTWaULlfjeqUVc60Rk7aBUUNcPz6aqR+fNiB2LZvWiP5xOrM/dg0dEZH0v9NrAI0dUavG/7/wEDV+sHaQGi8Z+pkaD6Tp1ybSqr/+wJlUNR5tMQwo97P326D+vhttHW+qoyOGz5bbn+14H4+e4V5U7mOKCgCAJDd27FgpLCyU1atXx7srCYMRHAAAvObwIuPq6mopLi52oEH/YAQHAAD4DiM4AAB4jDU47iPBAQDAa9TBcR1TVAAAwHcYwQEAwGNMUbmPBCfB2K1FEe9aG6Y6OCYZv9qlxrOGTVbj9SH9015QpQ9anhlu+EgcVeITY9fIEREJjg6r8XNt+rk/rC1S49cOrdPPf7leR+dgWK9SlNa/XY1H1KhI/2FNarylLltv4HyKGs4I6/1rDel1eExaZ0201X5Vlbt1Ztz+7MNhTFG5jikqAADgO4zgAADgNUZwXEeCAwCAx1iD4z6mqAAAgO8wggMAQDww+uIqRnAAAIDvuJ7gtLe3y6pVq+SWW26RQYMGSX5+vpSVlcn27dvdPjUAAAkpxbIce6B7rk9RtbS0yJNPPilz5syRJUuWSGpqqjz//PNSVlYmW7dulalTp7rdhT7Fbq0LUx2bLVXLbMXt1skxyTmo1yI5n6Mf33Z1i/4Fn/WPGWo9pddxKShoVOM5Qb2Ozrnz9urkRCP63zP9M8/r8X56pZu20xlqvP3TTDUeCEbVeEqbXgfneKkeH3DA3i+C7a8usnV8vGtUIcGwi8p1ric4mZmZ8sc//lFCoVDHc9OmTZMxY8bIunXrSHAAAIDjXE9wUlNTOyU3F5+77rrr5MCBA26fHgCAhMM2cffFZZFxJBKRnTt3yujRo+NxegAA4sty8IFuxWWb+KpVq6S2tlYeeugh9esaGxulsfEv6xbq6vR77QAAAIj0MsFpaGi4pGTjiiuukPT09E7PvfHGG7Js2TJ57LHHZMKECerxa9euleXL3V2UCgCA15yeoho7dqykpqbKokWLZNEiewvi/aJXCc769etl/vz5xq/bv3+/jBo1quP/77//vnzpS1+Sr371q/LYY48Zj6+srJR58+Z1/L+urk4mTtTv6AsAQF9TXV0txcXF8e5GQulVgjNv3rxOicelOHDggMycOVMmT54sP/nJTy7pmNzcXMnNze1NFwEASFxsE3edJ2tw6urqZPr06TJ8+HDZsGGD9OvXz4vTJiS3a2HYFd29V42b+h+YMEaNH79BT1j3VOmv3+75D9wbVON2BNL0Oi4nP81X43kjGtR4/TH92mUOalbj0q9dDbfU6XV8Anltajw9v1WNR1qy1Hg0U79+qW16jSOTjLD++k3svvfiLdF/9vQ17KJynyeF/mbOnCmfffaZ/PCHP5S9e//yC7R///4yfvx4t7sAAAD6GNcTnOPHj0t1dbWIiMyaNatTbMSIEXLw4EG3uwAAQGJhisp1ric4JSUlYnGvDAAAOmF6yV3cTRwAAPhOXAr9AQDQp1nWhYcT7aBbjOAAAADfYQQHAACPsU3cfSQ4Hkv0WhOm/plqaWypWuZkd7ponaVXsj45Vn9L5+/TfxqcOZOpxs8HYx/fflav7xSIpKjx+hN6jZ5A9nk1bqpjkzZIr1Njipu0nc7Qv8BU56ZBr3OTek6/foOrImr8zDD9vRE8oh9v97MR789+vM+Pv8EuKtcxRQUAAHyHERwAADyWEr3wcKIddI8EBwAArzFF5TqmqAAAgO8wggMAgMfYReU+EhwAALxGoT/XMUUFAAB8hxEcOMpuLZCby1er8fBV+lu2oFqvZWJy+hq9Fkvmidi1WJqy9DotJqmn9NeWddVZNd58TK9DUzywXo0f3lekxqPBdjU+8pu71Li5hpF+/UzfW1Odm4Jn31HjduvEBCaMsXV8otfRgbOYonIfIzgAAMB3GMEBACAeGH1xFQkOAAAeY4rKfUxRAQAA32EEBwAAr7FN3HWM4AAA4LGLU1ROPERExo4dK4WFhbJ6tb4TtS9hBAcAgCRXXV0txcXF8e5GQiHBgadMtT70Si4ieqUW+7VIgody1XjzkNix1GZ9QDRleLMajzT0V+NnTmWr8TRD+wc/UjovIpJ3Xg1nfKL374+rblTj7QP1OjZX/6hRjTcPzVLje55+SI3ffEQ/v906NNHde9W4ial96uT4DDfbdB1TVAAAwHcYwQEAwGNsE3cfCQ4AAF6LWhceTrSDbjFFBQAAfIcRHAAAvMYiY9eR4AAA4LEUcWgNjv0mfIspKgAA4DuM4KBHTHVmtlQts9X+jNLlatxUa+T0mKAaz997Ro0P3qnXYvloQWbMWOBMqnqs9afYx4qIpJ+x9/dGJKif39h+WD/+fNDen5vpx/qp8doyPZ55Uj//uIXr1PjgWr1OUFSNmlGHBj1iiUO3arDfhF8xggMAAHyHERwAALzmUB0cRnBiI8EBAMBr7KJyHVNUAADAdxjBAQDAYymWJSkOLDJ2og2/IsEBAMBrUbG/de9iO+gWU1QAAMB3GMFBj5jq3EwL3KPG3a4Vcj5Hr+tpqpOTEW5X4yO/sStmrP6+G/VzX6OGZXBVRI0f+4Khzs0p/e+VaLp+/rZC/fw5f7D34yKilwGSodv0GkTNQ7PUeN7PYn9vRESaZ01U4xm71bBtdj8b1NnxF6ao3EeCAwCA19hF5TqmqAAAgO8wggMAgOcsZ27VwBBOTIzgAAAA32EEBwAAj6U4dKsGR2734FMkOAAAeM1yaIqKXVQxMUUFAAB8hxEcJBVTrZl+TfpfM/l7z6jx4zfkqvEMNarrd0av0RO+Sv84Bg8Z2je89lPj9Xje7/Xzt+br5884rcfTWvS46drvefohNX5z+Wr9BDZRxwZOSoleeDjRDrpHggMAgNeYonIdU1QAAMB3GMEBAMBrVDJ2HSM4AADAdxjBAQDAY9xs030kOAAAeI1Fxq5jigoAAPgOIzhwlN1aH1uqlqlxu7VITLVSTLVeAhPGxIydz9Hr3Ji0DdDjpjoyJllH9b9ngkcihrjefmsoVY1nhNttHT+jdLkaz1Kj7r+3gB6xRMSJGjYM4MREggMAgMdYg+M+pqgAAEhyY8eOlcLCQlm92t2K3smEERwAALxmiUOLjC/8U11dLcXFxfbb8xFGcAAAgO8wggMAgNfYJu46EhwAALwWFWd2UXE38ZiYogIAAL7DCA4cZbeWiOl4u7a/usjW+Y8/MDlmbPDORvXY02OCajx/7xk1/tE/6ZVe8n6vf5wjmWpYzgzTjzfVyTH13+7rj+7eq8a1GkUi1LlBYmGbuPtIcAAA8BprcFzHFBUAAPAdRnAAAPCcQyM43KshJhIcAAC8xhSV65iiAgAAvsMIDgAAXqMOjutIcOAou1tt3d5GPqN0uRpvnTVRjWtbwQ/dnqseGzysDyX/4R9z1Hj6CX3A1bQN3HR+E9M2chF9G7tJ81D9+O1V+nvj5nL9JoOm490uUWDCNnXAWSQ4AAB4jDo47vN8Dc7u3bslNTVVcnL0v1YBAPCti4uMnXigW54mOJZlybe+9S0pKCjw8rQAAKCP8TTBeemll+Szzz6T+++/38vTAgCQWKKWcw90y7MEp76+Xh555BFZt26dpKene3VaAAASjyUOTVHF+4UkLs8SnEcffVQmTJggd955p1enBAAAfZQnu6j27NkjL7zwgnzwwQc9Oq6xsVEaG/+yLbeurs7prgEAEAfcqsFtvUpwGhoaLinZuOKKK6Rfv37ywAMPyIIFC2TUqFE9Os/atWtl+XK9bgmcZaoTE929V43Hu5aHqRbKmRv0WjUFz76jxrcor8907Ux1Xkb+R7MaNzG1n1Wrt2+q45PWop/f1L6pTo7peNP31nS8qc5NvN+7AJzVqwRn/fr1Mn/+fOPX7d+/X/bs2SP79++Xl19+Werr60VEpLW1VUQurMvJyMiQjIyMbo+vrKyUefPmdfy/rq5OJk7UC7EBAJDwuBeV63qV4MybN69T4qF55ZVXJBwOS0lJSZdYKBSSJUuWyA9+8INuj83NzZXcXP2vSgAAko5TO6DYRRWT62tw5syZI1OmTOn03E9/+lP5xS9+IZs3b5bhw4e73QUAANDHuJ7glJSUdBm9efvttyU1NbVL4gMAQJ9gRS88nGgH3eJeVAAAeI01OK7z/F5UIiKPP/64NDU1xePUAACgD2AEBwAAr7HI2HUkOD5jt9ZHote5cfv8M3Y26nGl1s2WqmXqsaVz16rx1lBQjef97F01niVj1LipTs6I3+iv3fT6TO89GaqXeDC99zJ26803z9Lb315FnRugLyHBAQDAa6zBcR0JDgAA8UBy4qq4LDIGAABwEyM4AAB4jSkq15HgAADgtWhUJMWBIn1RCv3FwhQVAADwHUZwAADwGlNUriPB8Rm7dWJMx9uts2OX3fNrdWwuhalWiyYj3K7Gt7+6SI3P2Kv33dg3Qx0ak5vLV6vxrAl6HZ6MX+1S4wHD8cY6OYb24/3eBTohwXEdU1QAAMB3GMEBAMBrUUskhVs1uIkRHAAA4DuM4AAA4DHLiopl2d/i7UQbfkWCAwCA1yxxZnqJGaqYmKICAAC+wwgOAABeY5u460hw0CN2a4XYrUVi9/xbqpapcVOdHFOtFo2pTouJqQ6Mnb6JmK+N6Xu3xfC9KZ27Vo2b6gRl7FbDRtS5QUKJRkWEWzW4iSkqAADgO4zgAADgNaaoXMcIDgAA8B1GcAAA8JgVjYrlwBocizU4MZHgAADgNaaoXMcUFQAA8B1GcAAA8JplOVTJmBGcWEhw0IndOjUmpuPtnt9Ux8ZUS8YOU99NdWpuLl+txrNs1rkx1eGxe37Tta8y1Nlxm9vvbaBHLEscqYNDghMTU1QAAKDXampqZOLEiXLVVVfJlClT5NixY/HukoiQ4AAA4Dkrajn2iLdvfvObsmTJEvn444/lH/7hH2TRokXx7pKIkOAAANDnHDhwQCoqKmTcuHGSlpYmY8Z0PwVdU1Mj06ZNk+zsbBkyZIgsXrxY2traOuLHjx+X/fv3yxe/+EUREfnGN74h//M//yNWAkydsQYHAACvWQ7di8rqXRv79u2T119/XSZNmiTRaFSi3dTTCYfDMnXqVBk5cqRs3LhRamtrpbKyUpqbm+WZZ54REZGjR4/KsGHDJCUlRUREcnJyJCsrS06cOCGDBw/u/etyAAkOAAAes6KWWCn2Rzl6O1Jy1113yd133y0iInPmzJH33nuvy9c899xz0tjYKJs2bZL8/HwREYlEIrJgwQJZunSpXHbZZb3vuAeYogIAoI8JBMy//jdv3iy33XZbR3IjIjJ79myJRqOydetWEREpLi6WI0eOdCRaTU1N0tzcLAUFBe50vAeSagQnEomIiEhdXV2ce+JfrVazGj969GhCn7+1rUGNRw3tuylg6Nu5ljY1HmhrsXV+02s/11Lv6vndfu+YxPu9jcR18XfKxd8xXjhnNfd6eqlTO9IqIl1/L+bm5kpubq6ttmtqauT+++/v9FxeXp4UFRVJTU2NiIgMHjxYRo0aJRs3bpQvfelL8sILL8isWbMuKYFynZVEdu3aZYkIDx48ePDg4fhj165drv8eC4fDVn5+vqP9zszM7PLcsmXLLrlP9913n3XNNdd0eT4tLc168sknuzx/zTXXWPPnz+/4/759+6zrr7/euvLKK61bbrnFOnLkSK+ujdOSagTn2muvlV27dklBQYGkpSVm1+vq6mTixImya9cuKSoqind3khLX0D6uoTO4jvYlwzWMRCJy8uRJufbaa10/V15ennzyySfS1NTkWJvRaLTLiInd0Zue+NznPidVVVWene9SJWaWEENGRoaUlpbGuxuXpKioSIqLi+PdjaTGNbSPa+gMrqN9iX4NS0pKPDtXXl6e5OXleXa+3gqFQtLQ0HVqPRwOd1qXk6gSYJIMAAAkmlGjRnWstbmooaFB6urqZNSoUXHq1aUjwQEAAF3MnDlT3nzzTamvr+94bv369RIIBGT69Onx69glSqopqmSQm5sry5Yt83T+02+4hvZxDZ3BdbSPa5iYmpub5Te/+Y2IiBw6dEgaGxtlw4YNIiJy6623SkFBgVRUVMjTTz8t5eXlsnTpUqmtrZVFixZJRUVFwtfAERFJsawEqKcMAAA8c/DgQbn88su7jW3btk2mTJkiIiL79++XhQsXyjvvvCPBYFC+/vWvy4oVKyQ9Pd3D3vYOCQ4AAPAd1uAAAADfIcEBAAC+Q4IDAAB8hwTHI7t375bU1FTJycmJd1eSRnt7u6xatUpuueUWGTRokOTn50tZWZls37493l1LaDU1NTJt2jTJzs6WIUOGyOLFi6WtTb/PFf5i/fr1cvfdd0txcbFkZ2fLuHHj5MUXX+z1XZtx4QaMxcXFkpKS0u1dqwE3kOB4wLIs+da3vpUQd1dNJi0tLfLkk0/KhAkT5Gc/+5m8/PLLEgqFpKysTH7729/Gu3sJKRwOy9SpU6WtrU02btwoK1eulOeff14qKyvj3bWksXbtWsnKypI1a9bIa6+9JjNnzpT58+fL9773vXh3LWl9//vf9/RGloCISFLdbDNZvfDCC9aVV15pfec737Gys7Pj3Z2kEYlErNOnT3d5btSoUdadd94Zp14ltpUrV1rZ2dnWqVOnOp77t3/7Nys1NdWqra2NY8+Sx8mTJ7s8N3/+fCs3N9dqb2+PQ4+S2/79+63s7Gzrueees0TEqqqqineX0EcwguOy+vp6eeSRR2TdunVJUTcgkaSmpkooFOry3HXXXSfHjh2LU68S2+bNm+W2227rdJ+Y2bNnSzQala1bt8axZ8lj0KBBXZ4bP368NDY2ytmzZ+PQo+S2cOFCqaiokKuvvjreXUEfQ4LjskcffVQmTJggd955Z7y74guRSER27twpo0ePjndXElJNTU2Xe8Tk5eVJUVFRl3vK4NLt2LFDhg4dKsFgMN5dSSobNmyQDz/8UB577LF4dwV9ELdqcNGePXvkhRdekA8++CDeXfGNVatWSW1trTz00EPx7kpCCofD3d6lOBQKyenTp73vkA/s2LFDXnnlFVmzZk28u5JUmpubpbKyUlauXMltGhAXJDg9cPEuqiZXXHGF9OvXTx544AFZsGBBUtx11Ss9uYZ/O6X3xhtvyLJly+Sxxx6TCRMmuNVFoMPRo0fl3nvvlbKyMnnwwQfj3Z2k8sQTT8jgwYNl7ty58e4K+igSnB5Yv369zJ8/3/h1+/fvlz179sj+/fvl5Zdf7rgTa2trq4hcWJeTkZEhGRkZbnY3IfXkGv51Yvj+++/Ll770JfnqV7/KcLciFApJQ0NDl+fD4XCndTkwq6+vl5kzZ8rAgQPll7/8pQQCzOhfqkOHDsmaNWtk06ZNHe/Hpqamjn+bmpoomQHXcS8qlzz++OOyfPnymPElS5bID37wAw97lLwOHDggN910k4wfP15ee+016devX7y7lLBuueUWGThwoGzatKnjuYaGBgmFQvLiiy/KnDlz4te5JNLS0iLTpk2Tw4cPy7vvvitDhw6Nd5eSyttvvy1lZWUx45MmTZKdO3d62CP0RYzguGTOnDkdd2O96Kc//an84he/kM2bN8vw4cPj07EkU1dXJ9OnT5fhw4fLhg0bSG4MZs6cKStXrpT6+vqOtTjr16+XQCAg06dPj2/nkkQkEpHZs2fL/v37Zfv27SQ3vTBu3DjZtm1bp+f27NkjDz30kDz33HNSWloap56hL2EEx0OPP/64PPXUUx1DtdC1tLTIjTfeKH/84x/l5z//eadCif3795fx48fHsXeJKRwOyzXXXCNXXXWVLF26VGpra6WyslK+9rWvyTPPPBPv7iWFf/qnf5If//jHsmbNGpk8eXKn2Pjx46V///5x6llyuziqU1VVJddff328u4M+gBEcJKzjx49LdXW1iIjMmjWrU2zEiBFy8ODBOPQqsYVCIXnrrbdk4cKFUl5eLsFgUObNmycrVqyId9eSxsV6QQ8//HCX2KeffiolJSUe9whAbzCCAwAAfIdtAQAAwHdIcAAAgO+Q4AAAAN8hwQEAAL5DggMAAHyHBAcAAPgOCQ4AAPAdEhwAAOA7JDgAAMB3SHAAAIDvkOAAAADfIcEBAAC+Q4IDAAB85/8HtIGVBTd5aEcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 704x528 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.set_aspect('equal')\n",
    "d = hl.plot2d(ax, hh, cbar=True, log=True, vmin=1, vmax=1e2)\n",
    "d['colorbar'].set_label('counts')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Brief survey of additional features"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this tutorial, we try to cover the basics that will let you start making plots as quickly as possible.  Histlite has much more to offer.  We will cover the details in other notebooks, but here we offer a teaser with little to no explanation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Normalization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hist(51 bins in [-5.0,5.0], with sum 5.1, 11 empty bins, and 0 non-finite values)\n",
      "integral of hn is 1.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hn = h.normalize()\n",
    "print(hn)\n",
    "print('integral of hn is', hn.integrate().values)\n",
    "hl.plot1d(ax, hn, crosses=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'colormesh': <matplotlib.collections.QuadMesh at 0x7f079aca1fa0>,\n",
       " 'colorbar': <matplotlib.colorbar.Colorbar at 0x7f079acd97f0>}"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ax.set_aspect('equal')\n",
    "hl.plot2d(ax, hh.normalize(), cbar=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pseudo-KDE(kernel density estimation)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 880x440 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 4), gridspec_kw=dict(width_ratios=(2,1)))\n",
    "hl.plot1d(ax1, hl.kde(x))\n",
    "hl.plot2d(ax2, hl.kde((x, y)), cbar=True)\n",
    "ax2.set_aspect('equal')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Axis transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "h_exp = h.transform_bins(lambda x: 10**x)\n",
    "ax.semilogx()\n",
    "hl.plot1d(ax, h_exp, crosses=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cumulative sums"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 880x440 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 4))\n",
    "hl.plot1d(ax1, h.cumsum() / h.sum())\n",
    "hl.plot2d(ax2, hh.cumsum(), cbar=True)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Projections"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1320x440 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12,4))\n",
    "hl.plot1d(ax1, hh.project([0]))\n",
    "hl.plot1d(ax1, h, ls=':') # slightly more elements since some y's were under/overflow\n",
    "\n",
    "for frac in (.16, .5, .84):\n",
    "    hl.plot1d(ax2, hh.contain(-1, frac))\n",
    "\n",
    "hl.plot1d(ax3, hh.contain_project(-1),  # 1σ errors by default\n",
    "           drawstyle='default', errorbands=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "x3 = np.random.uniform(-5, 5, size=10**4)\n",
    "y3 = np.random.normal(loc=x3**2, scale=1 + np.abs(x3))\n",
    "hl.plot1d(ax, hl.hist((x3, y3), bins=100).contain_project(-1),\n",
    "           errorbands=True, drawstyle='default')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Values transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n",
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n",
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n",
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n",
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "kw = dict(crosses=True)\n",
    "hl.plot1d(ax, h**2, label='squared', **kw)\n",
    "hl.plot1d(ax, h, label='original', color='k', lw=3, **kw)\n",
    "hl.plot1d(ax, h.sqrt(), label='sqrt', **kw)\n",
    "hl.plot1d(ax, h.ln(), label='natural log', **kw)\n",
    "hl.plot1d(ax, h.log10(), label='log10', **kw)\n",
    "ax.semilogy(nonpositive='clip')\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Transpose"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 880x880 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(8, 8))\n",
    "hl.plot2d(ax[0], hh)\n",
    "hl.plot2d(ax[1], hh.T)\n",
    "for a in ax:\n",
    "    a.set_aspect('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Smoothing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 880x880 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(8, 8))\n",
    "hl.plot2d(ax[0], hh)\n",
    "hl.plot2d(ax[1], hh.gaussian_filter(1))\n",
    "for a in ax:\n",
    "    a.set_aspect('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Spline Fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f079a5d9d60>]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hl.plot1d(ax, h, crosses=True)\n",
    "\n",
    "X = np.linspace(-5, 5, 1000)\n",
    "s = h.spline_fit()\n",
    "ax.plot(X, s(X))  # naturally, overshoots in region without data..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Function fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n",
      "  xys = np.asarray(xys)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f079a70a9a0>]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 704x528 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "hl.plot1d(ax, hn, crosses=True)\n",
    "\n",
    "params, cov = hn.curve_fit(lambda x, loc, scale: stats.norm.pdf(x, loc, scale))\n",
    "ax.plot(X, stats.norm.pdf(X, *params))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Slicing in binning units"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x7f079a85a820>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 880x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(8, 4))\n",
    "hl.plot1d(ax[0], h[0:])\n",
    "hl.plot1d(ax[0], hh[0])\n",
    "hl.plot2d(ax[1], hh[0:,0:])"
   ]
  }
 ],
 "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": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}