{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# 2D Histograms in physt" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Necessary import evil\n", "import physt\n", "from physt import h1, h2, h\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "np.random.seed(42)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Some data\n", "x = np.random.normal(100, 1, 1000)\n", "y = np.random.normal(10, 10, 1000)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Histogram2D('Some histogram', bins=(8, 4), total=1000, dtype=int64)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a simple histogram\n", "histogram = h2(x, y, [8, 4], name=\"Some histogram\", axis_names=[\"x\", \"y\"])\n", "histogram" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 2, 4, 0],\n", " [ 3, 26, 20, 5],\n", " [ 17, 78, 104, 10],\n", " [ 26, 163, 147, 17],\n", " [ 17, 136, 96, 17],\n", " [ 6, 41, 38, 6],\n", " [ 1, 11, 7, 0],\n", " [ 0, 1, 0, 1]], dtype=int64)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Frequencies are a 2D-array\n", "histogram.frequencies" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multidimensional binning\n", "\n", "In most cases, binning methods that apply for 1D histograms, can be used also in higher dimensions. In such cases, each parameter can be either scalar (applies to all dimensions) or a list/tuple with independent values for each dimension. This also applies for *range* that has to be list/tuple of tuples." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([ 96., 98., 100., 102., 104.]),\n", " array([-20., -10., 0., 10., 20., 30., 40., 50.])]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "histogram = h2(x, y, \"fixed_width\", bin_width=[2, 10], name=\"Fixed-width bins\", axis_names=[\"x\", \"y\"])\n", "histogram.plot();\n", "histogram.numpy_bins" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([ 96.75873266, 99.54993453, 100.40825276, 103.85273149]),\n", " array([-19.40388635, 3.93758311, 10.63077132, 17.28882177,\n", " 41.93107568])]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "histogram = h2(x, y, \"quantile\", bin_count=[3, 4], name=\"Quantile bins\", axis_names=[\"x\", \"y\"])\n", "histogram.plot(cmap_min=0);\n", "histogram.numpy_bins" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[array([ 96., 98., 100., 102., 104.]),\n", " array([-20., -10., 0., 10., 20., 30., 40., 50.])]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "histogram = h2(x, y, \"pretty\", bin_count=5, name=\"Pretty, human-friendly bins\", axis_names=[\"x\", \"y\"])\n", "histogram.plot();\n", "histogram.numpy_bins" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting\n", "\n", "### 2D" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Default is workable\n", "ax = histogram.plot()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Custom colormap, no colorbar\n", "import matplotlib.cm as cm\n", "fig, ax = plt.subplots()\n", "ax = histogram.plot(ax=ax, cmap=cm.copper, show_colorbar=False, grid_color=cm.copper(0.5))\n", "ax.set_title(\"Custom colormap\");" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Use a named colormap + limit it to a range of values\n", "import matplotlib.cm as cm\n", "fig, ax = plt.subplots()\n", "ax = histogram.plot(ax=ax, cmap=\"Oranges\", show_colorbar=True, cmap_min=20, cmap_max=100, show_values=True)\n", "ax.set_title(\"Clipped colormap\");" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show labels (and hide zero bins), no grid(lw=0)\n", "ax = histogram.plot(show_values=True, show_zero=False, cmap=cm.RdBu, format_value=float, lw=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Large histograms as images\n", "\n", "Plotting histograms in this way gets problematic with more than roughly 50x50 bins. There is an alternative, though, partially inspired by the `datashader` project - plot the histogram as bitmap, which works very fast even for very large histograms.\n", "\n", "**Note**: This method does not work for histograms with irregular bins." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "x = np.random.normal(100, 1, 1000000)\n", "y = np.random.normal(10, 10, 1000000)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "h2(x, y, 20, name=\"20 bins - map\").plot(\"map\", cmap=\"rainbow\", lw=0, alpha=1, ax=axes[0], show_colorbar=False)\n", "h2(x, y, 20, name=\"20 bins - image\").plot(\"image\", cmap=\"rainbow\", alpha=1, ax=axes[1])\n", "h2(x, y, 500, name=\"500 bins - image\").plot(\"image\", cmap=\"rainbow\", alpha=1, ax=axes[2]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See that the output is equivalent to map without lines." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transformation\n", "\n", "Sometimes, the value range is too big to show details. Therefore, it may be of some use to transform the values by a function, e.g. logarithm." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "h2(x, y, 20, name=\"20 bins - map\").plot(\"map\", alpha=1, lw=0, show_zero=False, cmap=\"rainbow\", ax=axes[0], show_colorbar=False, cmap_normalize=\"log\")\n", "h2(x, y, 20, name=\"20 bins - image\").plot(\"image\", alpha=1, ax=axes[1], cmap=\"rainbow\", cmap_normalize=\"log\")\n", "h2(x, y, 500, name=\"500 bins - image\").plot(\"image\", alpha=1, ax=axes[2], cmap=\"rainbow\", cmap_normalize=\"log\");" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Composition - show histogram overlayed with \"points\"\n", "fig, ax = plt.subplots(figsize=(8, 7))\n", "h_2 = h2(x, y, 30)\n", "h_2.plot(\"map\", lw=0, alpha=0.9, cmap=\"Blues\", ax=ax, cmap_normalize=\"log\", show_zero=False)\n", "# h2(x, y, 300).plot(\"image\", alpha=1, cmap=\"Greys\", ax=ax, transform=lambda x: x > 0);\n", "# Not working currently" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D\n", "\n", "By this, we mean 3D bar plots of 2D histograms (not a visual representation of 3D histograms)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "histogram.plot(\"bar3d\", cmap=\"rainbow\");" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "histogram.plot(\"bar3d\", color=\"red\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Projections" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Histogram1D('Projection to X', bins=(4,), total=1000, dtype=int64)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "proj1 = histogram.projection(\"x\", name=\"Projection to X\")\n", "proj1.plot(errors=True)\n", "proj1" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Histogram1D('Projection to Y', bins=(7,), total=1000, dtype=int64)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ISFBRUdF595GYmKg33nijOYcFAADABeC3YgEAACxBsAMAALAEwQ4AAMASBDsAAABLEOwAAAAs0eoXFAOdWXt9wW5HebkuAKBtccUOAADAEgQ7AAAASxDsAAAALEGwAwAAsATBDgAAwBIEOwAAAEsQ7AAAACxBsAMAALAEwQ4AAMAS/PIEADQhxN1NiXPXBLsMAGgWrtgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJbgBcWAhXi5LgB0TlyxAwAAsATBDgAAwBIEOwAAAEsQ7AAAACxBsAMAALAEwQ4AAMASBDsAAABLEOwAAAAsQbADAACwBMEOAADAEgQ7AAAASxDsAAAALEGwAwAAsATBDgAAwBLNCnbLli3T8OHD5fV65fV65ff79eabbzr9J0+eVE5Ojnr16qXw8HBlZmaqvLw8YB+HDh1SRkaGwsLCFBMTozlz5qi+vr5tzgYAAKATa1aw69OnjxYvXqySkhK99957uvHGG3Xbbbdp9+7dkqSZM2fqtdde08svv6yioiIdPXpUt99+u7N9Q0ODMjIyVFdXpy1btuiFF15QQUGB5s+f37ZnBQAA0Am5jDGmNTuIiorSo48+qokTJyo6OlorV67UxIkTJUl79+7VkCFDVFxcrGuvvVZvvvmmbrnlFh09elSxsbGSpOXLl2vu3Ln65JNP5Ha7L+iY1dXVioiIUFVVlbxeb2vKB1ql37zXg10COrmDizOCXQKAVmjrTNPie+waGhq0atUq1dTUyO/3q6SkRKdOnVJKSoozZvDgwerbt6+Ki4slScXFxRo2bJgT6iQpLS1N1dXVzlU/AAAAtEyX5m6wa9cu+f1+nTx5UuHh4Vq9erWSkpK0Y8cOud1uRUZGBoyPjY1VWVmZJKmsrCwg1J3uP913NrW1taqtrXXWq6urm1s2AACA9Zp9xW7QoEHasWOHtm3bpuzsbGVlZWnPnj0XozZHfn6+IiIinCUhIeGiHg8AAKAjanawc7vdGjhwoJKTk5Wfn68RI0boqaeeks/nU11dnSorKwPGl5eXy+fzSZJ8Pt8ZT8meXj89pil5eXmqqqpylsOHDze3bAAAAOu1+j12jY2Nqq2tVXJysrp27aoNGzY4faWlpTp06JD8fr8kye/3a9euXaqoqHDGFBYWyuv1Kikp6azH8Hg8zitWTi8AAAAI1Kx77PLy8pSenq6+ffvq+PHjWrlypTZt2qR169YpIiJCU6dO1axZsxQVFSWv16sf/vCH8vv9uvbaayVJqampSkpK0uTJk7VkyRKVlZXpwQcfVE5Ojjwez0U5QQAAgM6iWcGuoqJC99xzj44dO6aIiAgNHz5c69at00033SRJeuKJJxQSEqLMzEzV1tYqLS1Nzz33nLN9aGio1qxZo+zsbPn9fvXo0UNZWVl6+OGH2/asAAAAOqFWv8cuGHiPHdoL3mOHYOM9dkDH1m7eYwcAAID2hWAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJZoV7PLz83XNNdeoZ8+eiomJ0YQJE1RaWhowZsyYMXK5XAHLfffdFzDm0KFDysjIUFhYmGJiYjRnzhzV19e3/mwAAAA6sS7NGVxUVKScnBxdc801qq+v1wMPPKDU1FTt2bNHPXr0cMZNmzZNDz/8sLMeFhbmfG5oaFBGRoZ8Pp+2bNmiY8eO6Z577lHXrl31s5/9rA1OCQAAoHNqVrBbu3ZtwHpBQYFiYmJUUlKi0aNHO+1hYWHy+XxN7uOtt97Snj17tH79esXGxuqqq67SI488orlz52rhwoVyu90tOA0AAAC06h67qqoqSVJUVFRA+0svvaTevXtr6NChysvL0xdffOH0FRcXa9iwYYqNjXXa0tLSVF1drd27d7emHAAAgE6tWVfsvqyxsVEzZszQN7/5TQ0dOtRpv/vuu5WYmKj4+Hjt3LlTc+fOVWlpqf7whz9IksrKygJCnSRnvaysrMlj1dbWqra21lmvrq5uadkAAADWanGwy8nJ0Ycffqh33nknoH369OnO52HDhikuLk7jxo3T/v37NWDAgBYdKz8/X4sWLWppqQAAAJ1Ci76Kzc3N1Zo1a/T222+rT58+5xw7atQoSdK+ffskST6fT+Xl5QFjTq+f7b68vLw8VVVVOcvhw4dbUjYAAIDVmhXsjDHKzc3V6tWrtXHjRvXv3/+82+zYsUOSFBcXJ0ny+/3atWuXKioqnDGFhYXyer1KSkpqch8ej0derzdgAQAAQKBmfRWbk5OjlStX6tVXX1XPnj2de+IiIiLUvXt37d+/XytXrtTNN9+sXr16aefOnZo5c6ZGjx6t4cOHS5JSU1OVlJSkyZMna8mSJSorK9ODDz6onJwceTyetj9DAACATqJZV+yWLVumqqoqjRkzRnFxcc7y29/+VpLkdru1fv16paamavDgwZo9e7YyMzP12muvOfsIDQ3VmjVrFBoaKr/fr+9+97u65557At57BwAAgOZr1hU7Y8w5+xMSElRUVHTe/SQmJuqNN95ozqEBAABwHvxWLAAAgCUIdgAAAJYg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGCJZgW7/Px8XXPNNerZs6diYmI0YcIElZaWBow5efKkcnJy1KtXL4WHhyszM1Pl5eUBYw4dOqSMjAyFhYUpJiZGc+bMUX19fevPBgAAoBNrVrArKipSTk6Otm7dqsLCQp06dUqpqamqqalxxsycOVOvvfaaXn75ZRUVFeno0aO6/fbbnf6GhgZlZGSorq5OW7Zs0QsvvKCCggLNnz+/7c4KAACgE3IZY0xLN/7kk08UExOjoqIijR49WlVVVYqOjtbKlSs1ceJESdLevXs1ZMgQFRcX69prr9Wbb76pW265RUePHlVsbKwkafny5Zo7d64++eQTud3u8x63urpaERERqqqqktfrbWn5QKv1m/d6sEtAJ3dwcUawSwDQCm2daVp1j11VVZUkKSoqSpJUUlKiU6dOKSUlxRkzePBg9e3bV8XFxZKk4uJiDRs2zAl1kpSWlqbq6mrt3r27yePU1taquro6YAEAAECgFge7xsZGzZgxQ9/85jc1dOhQSVJZWZncbrciIyMDxsbGxqqsrMwZ8+VQd7r/dF9T8vPzFRER4SwJCQktLRsAAMBaLQ52OTk5+vDDD7Vq1aq2rKdJeXl5qqqqcpbDhw9f9GMCAAB0NF1aslFubq7WrFmjzZs3q0+fPk67z+dTXV2dKisrA67alZeXy+fzOWPefffdgP2dfmr29Jiv8ng88ng8LSkVAACg02jWFTtjjHJzc7V69Wpt3LhR/fv3D+hPTk5W165dtWHDBqettLRUhw4dkt/vlyT5/X7t2rVLFRUVzpjCwkJ5vV4lJSW15lwAAAA6tWZdscvJydHKlSv16quvqmfPns49cREREerevbsiIiI0depUzZo1S1FRUfJ6vfrhD38ov9+va6+9VpKUmpqqpKQkTZ48WUuWLFFZWZkefPBB5eTkcFUOAACgFZoV7JYtWyZJGjNmTED7ihUrNGXKFEnSE088oZCQEGVmZqq2tlZpaWl67rnnnLGhoaFas2aNsrOz5ff71aNHD2VlZenhhx9u3ZkAAAB0cq16j12w8B47tBe8xw7BxnvsgI6tXb3HDgAAAO0HwQ4AAMASBDsAAABLEOwAAAAsQbADAACwBMEOAADAEgQ7AAAASxDsAAAALEGwAwAAsATBDgAAwBIEOwAAAEsQ7AAAACxBsAMAALAEwQ4AAMASBDsAAABLEOwAAAAsQbADAACwBMEOAADAEgQ7AAAASxDsAAAALEGwAwAAsATBDgAAwBIEOwAAAEsQ7AAAACxBsAMAALAEwQ4AAMASBDsAAABLEOwAAAAsQbADAACwBMEOAADAEgQ7AAAASxDsAAAALEGwAwAAsATBDgAAwBIEOwAAAEsQ7AAAACxBsAMAtLmamhq5XC65XC7V1NQEuxyg0yDYAQAAWIJgBwAAYIlmB7vNmzfr1ltvVXx8vFwul1555ZWA/ilTpjiX308v48ePDxjz2WefadKkSfJ6vYqMjNTUqVN14sSJVp0IAABAZ9fsYFdTU6MRI0bo2WefPeuY8ePH69ixY87ym9/8JqB/0qRJ2r17twoLC7VmzRpt3rxZ06dPb371AAAAcHRp7gbp6elKT08/5xiPxyOfz9dk31//+letXbtW27dv19VXXy1Jevrpp3XzzTfrscceU3x8fHNLAgAAgC7SPXabNm1STEyMBg0apOzsbH366adOX3FxsSIjI51QJ0kpKSkKCQnRtm3bLkY5AAAAnUKzr9idz/jx43X77berf//+2r9/vx544AGlp6eruLhYoaGhKisrU0xMTGARXbooKipKZWVlTe6ztrZWtbW1znp1dXVblw0AANDhtXmwu+uuu5zPw4YN0/DhwzVgwABt2rRJ48aNa9E+8/PztWjRorYqEQAAwEoX/XUnl112mXr37q19+/ZJknw+nyoqKgLG1NfX67PPPjvrfXl5eXmqqqpylsOHD1/ssgEAADqcix7sPv74Y3366aeKi4uTJPn9flVWVqqkpMQZs3HjRjU2NmrUqFFN7sPj8cjr9QYsAAAACNTsr2JPnDjhXH2TpAMHDmjHjh2KiopSVFSUFi1apMzMTPl8Pu3fv1/333+/Bg4cqLS0NEnSkCFDNH78eE2bNk3Lly/XqVOnlJubq7vuuosnYgEAAFqh2cHuvffe09ixY531WbNmSZKysrK0bNky7dy5Uy+88IIqKysVHx+v1NRUPfLII/J4PM42L730knJzczVu3DiFhIQoMzNTS5cubYPTAYDOpd+814NdQpMa6046n4c8tFYh7m5BrObcDi7OCHYJQJtpdrAbM2aMjDFn7V+3bt159xEVFaWVK1c299AAAAA4B34rFgAAwBIEOwAAAEsQ7AAAACxBsAMAALAEwQ4AAMASBDsAAABLEOwAAAAsQbADAACwBMEOAADAEgQ7AAAASzT7J8UAADifEHc3Jc5dE+wygE6HK3YAAACWINih3ampqZHL5ZLL5VJNTU2wywEAoMMg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYIkuwS4AwdNv3uvBLqFJjXUnnc9DHlqrEHe3IFYDAEDHwRU7AAAASxDsAAAALEGwAwAAsATBDgAAwBIEOwAAAEsQ7AAAACxBsAMAALAEwQ4AAMASBDsAAABLEOwAAAAswU+Kod0JcXdT4tw1wS4DAIAOhyt2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJZodrDbvHmzbr31VsXHx8vlcumVV14J6DfGaP78+YqLi1P37t2VkpKijz76KGDMZ599pkmTJsnr9SoyMlJTp07ViRMnWnUiAAAAnV2zg11NTY1GjBihZ599tsn+JUuWaOnSpVq+fLm2bdumHj16KC0tTSdPnnTGTJo0Sbt371ZhYaHWrFmjzZs3a/r06S0/CwAAADT/PXbp6elKT09vss8YoyeffFIPPvigbrvtNknSiy++qNjYWL3yyiu666679Ne//lVr167V9u3bdfXVV0uSnn76ad1888167LHHFB8f34rTAQAA6Lza9B67AwcOqKysTCkpKU5bRESERo0apeLiYklScXGxIiMjnVAnSSkpKQoJCdG2bdua3G9tba2qq6sDFgAAAARq02BXVlYmSYqNjQ1oj42NdfrKysoUExMT0N+lSxdFRUU5Y74qPz9fERERzpKQkNCWZQMAAFihQzwVm5eXp6qqKmc5fPhwsEsCAABod9o02Pl8PklSeXl5QHt5ebnT5/P5VFFREdBfX1+vzz77zBnzVR6PR16vN2ABAABAoDYNdv3795fP59OGDRucturqam3btk1+v1+S5Pf7VVlZqZKSEmfMxo0b1djYqFGjRrVlOQAAAJ1Ks5+KPXHihPbt2+esHzhwQDt27FBUVJT69u2rGTNm6Cc/+Ykuv/xy9e/fXw899JDi4+M1YcIESdKQIUM0fvx4TZs2TcuXL9epU6eUm5uru+66iydiAQAAWqHZwe69997T2LFjnfVZs2ZJkrKyslRQUKD7779fNTU1mj59uiorK3Xddddp7dq16tatm7PNSy+9pNzcXI0bN04hISHKzMzU0qVL2+B0AAAAOi+XMcYEu4jmqq6uVkREhKqqqrjfrhX6zXs92CUAQNAdXJwR7BLQibV1pukQT8UCAADg/Ah2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWIJgBwAAYAmCHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGAJgh0AAIAlCHYAAACWINgBAABYgmAHAABgCYIdAACAJQh2AAAAliDYAQAAWKLNg93ChQvlcrkClsGDBzv9J0+eVE5Ojnr16qXw8HBlZmaqvLy8rcsAAADodC7KFbsrr7xSx44dc5Z33nnH6Zs5c6Zee+01vfzyyyoqKtLRo0d1++23X4wyAAAAOpUuF2WnXbrI5/Od0V5VVaVf/vKXWrlypW688UZJ0ooVKzRkyBBt3bpV11577cUoBwAAoFO4KFfsPvroI8XHx+uyyy7TpEmTdOjQIUlSSUmJTp06pZSUFGfs4MGD1bdvXxUXF591f7W1taqurg5YAAAAEKjNg92oUaNUUFCgtWvXatmyZTpw4ICuv/56HT9+XGVlZXK73YqMjAzYJjY2VmVlZWfdZ35+viIiIpwlISGhrcsGAADo8Nr8q9j09HTn8/DhwzVq1CglJibqd7/7nbp3796ifebl5WnWrFnOenV1NeEOAADgKy76604iIyN1xRVXaN++ffL5fKqrq1NlZWXAmPLy8ibvyTvN4/HI6/UGLAAAAAh00YPdiRMntH//fsXFxSk5OVldu3bVhg0bnP7S0lIdOnRIfr//YpcCAABgtTb/KvY//uM/dOuttyoxMVFHjx7VggULFBoaqu985zuKiIjQ1KlTNWvWLEVFRcnr9eqHP/yh/H4/T8QCAAC0UpsHu48//ljf+c539Omnnyo6OlrXXXedtm7dqujoaEnSE088oZCQEGVmZqq2tlZpaWl67rnn2roMAACATsdljDHBLqK5qqurFRERoaqqKu63a4V+814PdgkAEHQHF2cEuwR0Ym2dafitWAAAAEsQ7AAAACxBsAMAALAEwQ4AAMASBDsAAABLEOwAAAAsQbADAACwBMEOAADAEgQ7AAAASxDsAAAALEGwAwCgHaqpqZHL5ZLL5VJNTU2wy0EHQbADAACwBMEOAADAEgQ7AAAASxDsAAAALEGwAwAAsESXYBcAAEAw9Zv3erBLaFJj3Unn85CH1irE3S2I1ZzbwcUZwS4B/w9X7AAAACxBsAMAALAEwQ4AAMASBDsAAABL8PBEG6upqVF4eLgk6cSJE+rRo0eQKwIAdEQh7m5KnLsm2GWgg+GKHQAAgCUIdgAAAJYg2AEAAFiCYAcAAGCJDv3wxNAF6xTiCQt2GQE60pvCAQCAXbhiBwAAYAmCHQAAgCUIdgAAAJbo0PfYtUe8UBIAAAQLV+wAAAAsQbADAACwBMEOAADAEgQ7AAAASxDsAAAALEGwAwAAsATBDgAAwBIEOwAAAEsELdg9++yz6tevn7p166ZRo0bp3XffDVYpAAAAVghKsPvtb3+rWbNmacGCBXr//fc1YsQIpaWlqaKiIhjlAAAAC9XU1MjlcsnlcqmmpibY5XwtghLsHn/8cU2bNk3f+973lJSUpOXLlyssLEy/+tWvglEOAACAFb7234qtq6tTSUmJ8vLynLaQkBClpKSouLj46y4HAAC0Ur95rwe7hCY11p10Pg95aK1C3N2CWE3TGmu/aNP9fe3B7u9//7saGhoUGxsb0B4bG6u9e/c2uU1tba1qa2ud9aqqKkltPxkAAMAuCTN+988PprFd5obTNRlj2mR/X3uwa4n8/HwtWrTojPYjy6Z8/cUAAAC0sU8//VQRERGt3s/XHux69+6t0NBQlZeXB7SXl5fL5/M1uU1eXp5mzZrlrFdWVioxMVGHDh1qk0nojKqrq5WQkKDDhw/L6/UGu5wOiTlsHeav9ZjD1mMOW485bJ2qqir17dtXUVFRbbK/rz3Yud1uJScna8OGDZowYYIkqbGxURs2bFBubm6T23g8Hnk8njPaIyIi+CNqJa/Xyxy2EnPYOsxf6zGHrcccth5z2DohIW3zPGtQvoqdNWuWsrKydPXVV2vkyJF68sknVVNTo+9973vBKAcAAMAKQQl2d955pz755BPNnz9fZWVluuqqq7R27dozHqgAAADAhQvawxO5ubln/er1fDwejxYsWNDk17O4MMxh6zGHrcP8tR5z2HrMYesxh63T1vPnMm31fC0AAACCKmi/FQsAAIC2RbADAACwBMEOAADAEh0q2B08eFBTp05V//791b17dw0YMEALFixQXV1dwLidO3fq+uuvV7du3ZSQkKAlS5YEqeL26ac//am+8Y1vKCwsTJGRkU2OOXTokDIyMhQWFqaYmBjNmTNH9fX1X2+h7dizzz6rfv36qVu3bho1apTefffdYJfUbm3evFm33nqr4uPj5XK59MorrwT0G2M0f/58xcXFqXv37kpJSdFHH30UnGLbofz8fF1zzTXq2bOnYmJiNGHCBJWWlgaMOXnypHJyctSrVy+Fh4crMzPzjJfAd2bLli3T8OHDnfes+f1+vfnmm04/89c8ixcvlsvl0owZM5w25vD8Fi5cKJfLFbAMHjzY6W+rOexQwW7v3r1qbGzU888/r927d+uJJ57Q8uXL9cADDzhjqqurlZqaqsTERJWUlOjRRx/VwoUL9Z//+Z9BrLx9qaur0x133KHs7Owm+xsaGpSRkaG6ujpt2bJFL7zwggoKCjR//vyvudL26be//a1mzZqlBQsW6P3339eIESOUlpamioqKYJfWLtXU1GjEiBF69tlnm+xfsmSJli5dquXLl2vbtm3q0aOH0tLSdPLkySbHdzZFRUXKycnR1q1bVVhYqFOnTik1NVU1NTXOmJkzZ+q1117Tyy+/rKKiIh09elS33357EKtuX/r06aPFixerpKRE7733nm688Ubddttt2r17tyTmrzm2b9+u559/XsOHDw9oZw4vzJVXXqljx445yzvvvOP0tdkcmg5uyZIlpn///s76c889Zy655BJTW1vrtM2dO9cMGjQoGOW1aytWrDARERFntL/xxhsmJCTElJWVOW3Lli0zXq83YF47q5EjR5qcnBxnvaGhwcTHx5v8/PwgVtUxSDKrV6921hsbG43P5zOPPvqo01ZZWWk8Ho/5zW9+E4QK27+KigojyRQVFRlj/jlfXbt2NS+//LIz5q9//auRZIqLi4NVZrt3ySWXmF/84hfMXzMcP37cXH755aawsNDccMMN5sc//rExhr/BC7VgwQIzYsSIJvvacg471BW7plRVVQX8vlpxcbFGjx4tt9vttKWlpam0tFSff/55MErscIqLizVs2LCAF0anpaWpurra+S/czqqurk4lJSVKSUlx2kJCQpSSkqLi4uIgVtYxHThwQGVlZQHzGRERoVGjRjGfZ1FVVSVJzr97JSUlOnXqVMAcDh48WH379mUOm9DQ0KBVq1appqZGfr+f+WuGnJwcZWRkBMyVxN9gc3z00UeKj4/XZZddpkmTJunQoUOS2nYOg/aC4rawb98+Pf3003rsscectrKyMvXv3z9g3OmAUlZWpksuueRrrbEjKisrO+NXQL48h53Z3//+dzU0NDQ5P3v37g1SVR3X6b+npuazs/+tNaWxsVEzZszQN7/5TQ0dOlTSP+fQ7Xafcb8scxho165d8vv9OnnypMLDw7V69WolJSVpx44dzN8FWLVqld5//31t3779jD7+Bi/MqFGjVFBQoEGDBunYsWNatGiRrr/+en344YdtOoft4ordvHnzzrih8KvLV/9P88iRIxo/frzuuOMOTZs2LUiVtx8tmUMAHUtOTo4+/PBDrVq1KtildDiDBg3Sjh07tG3bNmVnZysrK0t79uwJdlkdwuHDh/XjH/9YL730krp16xbscjqs9PR03XHHHRo+fLjS0tL0xhtvqLKyUr/73e/a9Djt4ord7NmzNWXKlHOOueyyy5zPR48e1dixY/WNb3zjjIcifD7fGU+RnF73+XxtU3A71Nw5PBefz3fGU56dYQ4vRO/evRUaGtrk31hnn5uWOD1n5eXliouLc9rLy8t11VVXBamq9ik3N1dr1qzR5s2b1adPH6fd5/Oprq5OlZWVAf+1z99kILfbrYEDB0qSkpOTtX37dj311FO68847mb/zKCkpUUVFhf71X//VaWtoaNDmzZv1zDPPaN26dcxhC0RGRuqKK67Qvn37dNNNN7XZHLaLK3bR0dEaPHjwOZfT98wdOXJEY8aMUXJyslasWKGQkMBT8Pv92rx5s06dOuW0FRYWatCgQVZ/DducOTwfv9+vXbt2BTzlWVhYKK/Xq6SkpIt1Ch2C2+1WcnKyNmzY4LQ1NjZqw4YN8vv9QaysY+rfv798Pl/AfFZXV2vbtm3M5/9jjFFubq5Wr16tjRs3nnGrSXJysrp27Rowh6WlpTp06BBzeA6NjY2qra1l/i7AuHHjtGvXLu3YscNZrr76ak2aNMn5zBw234kTJ7R//37FxcW17d9hKx7w+Np9/PHHZuDAgWbcuHHm448/NseOHXOW0yorK01sbKyZPHmy+fDDD82qVatMWFiYef7554NYefvyt7/9zXzwwQdm0aJFJjw83HzwwQfmgw8+MMePHzfGGFNfX2+GDh1qUlNTzY4dO8zatWtNdHS0ycvLC3Ll7cOqVauMx+MxBQUFZs+ePWb69OkmMjIy4Cli/H/Hjx93/sYkmccff9x88MEH5m9/+5sxxpjFixebyMhI8+qrr5qdO3ea2267zfTv39/84x//CHLl7UN2draJiIgwmzZtCvg374svvnDG3HfffaZv375m48aN5r333jN+v9/4/f4gVt2+zJs3zxQVFZkDBw6YnTt3mnnz5hmXy2XeeustYwzz1xJffirWGObwQsyePdts2rTJHDhwwPz5z382KSkppnfv3qaiosIY03Zz2KGC3YoVK4ykJpcv+8tf/mKuu+464/F4zKWXXmoWL14cpIrbp6ysrCbn8O2333bGHDx40KSnp5vu3bub3r17m9mzZ5tTp04Fr+h25umnnzZ9+/Y1brfbjBw50mzdujXYJbVbb7/9dpN/b1lZWcaYf77y5KGHHjKxsbHG4/GYcePGmdLS0uAW3Y6c7d+8FStWOGP+8Y9/mB/84AfmkksuMWFhYebf/u3fAv6Dt7P7/ve/bxITE43b7TbR0dFm3LhxTqgzhvlria8GO+bw/O68804TFxdn3G63ufTSS82dd95p9u3b5/S31Ry6jDGmpZcRAQAA0H60i3vsAAAA0HoEOwAAAEsQ7AAAACxBsAMAALAEwQ4AAMASBDsAAABLEOwAAAAsQbADAACwBMEOAADAEgQ7AAAASxDsAAAALEGwA4AvefHFF9WrVy/V1tYGtE+YMEGTJ08OUlUAcGEIdgDwJXfccYcaGhr0xz/+0WmrqKjQ66+/ru9///tBrAwAzo9gBwBf0r17d919991asWKF0/Zf//Vf6tu3r8aMGRO8wgDgAhDsAOArpk2bprfeektHjhyRJBUUFGjKlClyuVxBrgwAzs1ljDHBLgIA2pvk5GRNnDhRqampGjlypA4ePKiEhIRglwUA59Ql2AUAQHt077336sknn9SRI0eUkpJCqAPQIXDFDgCaUFVVpfj4eNXX1+vFF1/UnXfeGeySAOC8uMcOAJoQERGhzMxMhYeHa8KECcEuBwAuCMEOAM7iyJEjmjRpkjweT7BLAYALwlexAPAVn3/+uTZt2qSJEydqz549GjRoULBLAoALwsMTAPAV//Iv/6LPP/9cP//5zwl1ADoUrtgBAABYgnvsAAAALEGwAwAAsATBDgAAwBIEOwAAAEsQ7AAAACxBsAMAALAEwQ4AAMASBDsAAABLEOwAAAAs8X8Br9sVXj148MsAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "proj2 = histogram.projection(\"y\", name=\"Projection to Y\")\n", "proj2.plot(errors=True)\n", "proj2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adaptive 2D histograms" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create and add two histograms with adaptive binning\n", "height1 = np.random.normal(180, 5, 1000)\n", "weight1 = np.random.normal(80, 2, 1000)\n", "ad1 = h2(height1, weight1, \"fixed_width\", bin_width=1, adaptive=True)\n", "ad1.plot(show_zero=False)\n", "\n", "height2 = np.random.normal(160, 5, 1000)\n", "weight2 = np.random.normal(70, 2, 1000)\n", "ad2 = h2(height2, weight2, \"fixed_width\", bin_width=1, adaptive=True)\n", "ad2.plot(show_zero=False)\n", "\n", "(ad1 + ad2).plot(show_zero=False);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## N-dimensional histograms\n", "\n", "Although is not easy to visualize them, it is possible to create histograms of any dimensions that behave similar to 2D ones. Warning: be aware that the memory consumption can be significant." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "HistogramND(bins=(3, 2, 2, 3), total=1000, dtype=int64)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a 4D histogram\n", "data = [np.random.rand(1000)[:, np.newaxis] for i in range(4)]\n", "data = np.concatenate(data, axis=1)\n", "h4 = h(data, [3, 2, 2, 3], axis_names=\"abcd\")\n", "h4" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[[31, 28, 33],\n", " [21, 22, 22]],\n", "\n", " [[25, 29, 28],\n", " [29, 35, 28]]],\n", "\n", "\n", " [[[20, 25, 20],\n", " [28, 32, 31]],\n", "\n", " [[30, 28, 24],\n", " [29, 21, 27]]],\n", "\n", "\n", " [[[27, 26, 33],\n", " [21, 35, 30]],\n", "\n", " [[38, 30, 32],\n", " [25, 30, 27]]]], dtype=int64)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h4.frequencies" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h4.projection(\"a\", \"d\", name=\"4D -> 2D\").plot(show_values=True, format_value=int, cmap_min=\"min\");" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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EERERfutHR0fL7XZLktxut1/UXVh+YVlDcnJy5HA4fFNcXFygwwYAADBewGE3ePBgFRQUaN++fZozZ45mzJihw4cPt8TYfLKysuTxeHzTiRMnWvTzAAAAOqKA72MXEhKia665RpKUlJSkDz/8UM8//7wmTZqk6upqnT171u+sXWlpqZxOpyTJ6XTqgw8+8NvehatmL6xTn9DQUIWGhgY6VAAAgE6lyfexq6urU1VVlZKSktS1a1ft2rXLt6ywsFBFRUVyuVySJJfLpQMHDujUqVO+dXbu3Cm73a74+PimDgUAAKBTC+iMXVZWlsaMGaN+/fqpvLxcGzduVG5urnbs2CGHw6GZM2cqMzNTkZGRstvtmjt3rlwul26++WZJ0qhRoxQfH69p06ZpxYoVcrvdys7OVlpaGmfkAAAAmiigsDt16pSmT5+ukpISORwOJSYmaseOHbr77rslSb/73e8UFBSkiRMnqqqqSqmpqVq9erXv/V26dNHWrVs1Z84cuVwu9ezZUzNmzNAzzzzTvHsFAADQCTX5PnZtgfvYAQCAzqJV7mMHAACA9oWwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMEVDY5eTk6MYbb1R4eLiioqI0YcIEFRYW+q1zxx13yGaz+U2PPPKI3zpFRUUaN26cevTooaioKC1YsEA1NTVN3xsAAIBOLDiQlfPy8pSWlqYbb7xRNTU1+tWvfqVRo0bp8OHD6tmzp2+9WbNm6ZlnnvG97tGjh+/ftbW1GjdunJxOp95//32VlJRo+vTp6tq1q5YtW9YMuwQAANA52SzLshr75tOnTysqKkp5eXkaMWKEpO/O2N1www1auXJlve/Ztm2b7rnnHhUXFys6OlqStHbtWi1cuFCnT59WSEjIZT/X6/XK4XDI4/HIbrc3dvgAAADtXiDd06Tf2Hk8HklSZGSk3/wNGzaod+/eGjZsmLKysvTNN9/4luXn5yshIcEXdZKUmpoqr9erQ4cONWU4AAAAnVpAX8V+X11dnebNm6dbb71Vw4YN882fMmWK+vfvr9jYWH3yySdauHChCgsL9dprr0mS3G63X9RJ8r12u931flZVVZWqqqp8r71eb2OHDQAAYKxGh11aWpoOHjyo9957z2/+7Nmzff9OSEhQTEyMRo4cqaNHj2rQoEGN+qycnBw9/fTTjR0qAABAp9Cor2LT09O1detWvfvuu+rbt+8l101OTpYkHTlyRJLkdDpVWlrqt86F106ns95tZGVlyePx+KYTJ040ZtgAAABGCyjsLMtSenq6tmzZot27d2vgwIGXfU9BQYEkKSYmRpLkcrl04MABnTp1yrfOzp07ZbfbFR8fX+82QkNDZbfb/SYAAAD4C+ir2LS0NG3cuFFvvPGGwsPDfb+Jczgc6t69u44ePaqNGzdq7Nix6tWrlz755BNlZGRoxIgRSkxMlCSNGjVK8fHxmjZtmlasWCG3263s7GylpaUpNDS0+fcQAACgkwjodic2m63e+S+//LIeeughnThxQg8++KAOHjyoyspKxcXF6Wc/+5mys7P9zrJ9+eWXmjNnjnJzc9WzZ0/NmDFDy5cvV3DwlXUmtzsBAACdRSDd06T72LUVwg4AAHQWrXYfOwAAALQfhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYIiAwi4nJ0c33nijwsPDFRUVpQkTJqiwsNBvnXPnziktLU29evVSWFiYJk6cqNLSUr91ioqKNG7cOPXo0UNRUVFasGCBampqmr43AAAAnVhAYZeXl6e0tDTt3btXO3fu1Pnz5zVq1ChVVlb61snIyNCbb76pzZs3Ky8vT8XFxbrvvvt8y2trazVu3DhVV1fr/fff1/r167Vu3TotWrSo+fYKAACgE7JZlmU19s2nT59WVFSU8vLyNGLECHk8HvXp00cbN27U/fffL0n67LPPNHToUOXn5+vmm2/Wtm3bdM8996i4uFjR0dGSpLVr12rhwoU6ffq0QkJCLvu5Xq9XDodDHo9Hdru9scMHAABo9wLpnib9xs7j8UiSIiMjJUn79+/X+fPnlZKS4ltnyJAh6tevn/Lz8yVJ+fn5SkhI8EWdJKWmpsrr9erQoUNNGQ4AAECnFtzYN9bV1WnevHm69dZbNWzYMEmS2+1WSEiIIiIi/NaNjo6W2+32rfP9qLuw/MKy+lRVVamqqsr32uv1NnbYAAAAxmr0Gbu0tDQdPHhQmzZtas7x1CsnJ0cOh8M3xcXFtfhnAgAAdDSNCrv09HRt3bpV7777rvr27eub73Q6VV1drbNnz/qtX1paKqfT6Vvnh1fJXnh9YZ0fysrKksfj8U0nTpxozLABAACMFlDYWZal9PR0bdmyRbt379bAgQP9liclJalr167atWuXb15hYaGKiorkcrkkSS6XSwcOHNCpU6d86+zcuVN2u13x8fH1fm5oaKjsdrvfBAAAAH8B/cYuLS1NGzdu1BtvvKHw8HDfb+IcDoe6d+8uh8OhmTNnKjMzU5GRkbLb7Zo7d65cLpduvvlmSdKoUaMUHx+vadOmacWKFXK73crOzlZaWppCQ0Obfw8BAAA6iYBud2Kz2eqd//LLL+uhhx6S9N0NiufPn69XXnlFVVVVSk1N1erVq/2+Zv3yyy81Z84c5ebmqmfPnpoxY4aWL1+u4OAr60xudwIAADqLQLqnSfexayuEHQAA6Cxa7T52AAAAaD8IOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQIOuz179mj8+PGKjY2VzWbT66+/7rf8oYceks1m85tGjx7tt05ZWZmmTp0qu92uiIgIzZw5UxUVFU3aEQAAgM4u4LCrrKzU9ddfr1WrVjW4zujRo1VSUuKbXnnlFb/lU6dO1aFDh7Rz505t3bpVe/bs0ezZswMfPQAAAHyCA33DmDFjNGbMmEuuExoaKqfTWe+yTz/9VNu3b9eHH36o4cOHS5J+//vfa+zYsXruuecUGxsb6JAAAACgFvqNXW5urqKiojR48GDNmTNHZ86c8S3Lz89XRESEL+okKSUlRUFBQdq3b1+926uqqpLX6/WbAAAA4K/Zw2706NH693//d+3atUu/+c1vlJeXpzFjxqi2tlaS5Ha7FRUV5fee4OBgRUZGyu1217vNnJwcORwO3xQXF9fcwwYAAOjwAv4q9nImT57s+3dCQoISExM1aNAg5ebmauTIkY3aZlZWljIzM32vvV4vcQcAAPADLX67k6uvvlq9e/fWkSNHJElOp1OnTp3yW6empkZlZWUN/i4vNDRUdrvdbwIAAIC/Fg+7kydP6syZM4qJiZEkuVwunT17Vvv37/ets3v3btXV1Sk5ObmlhwMAAGCsgL+Kraio8J19k6Rjx46poKBAkZGRioyM1NNPP62JEyfK6XTq6NGjevzxx3XNNdcoNTVVkjR06FCNHj1as2bN0tq1a3X+/Hmlp6dr8uTJXBELAADQBDbLsqxA3pCbm6s777zzovkzZszQmjVrNGHCBH388cc6e/asYmNjNWrUKC1ZskTR0dG+dcvKypSenq4333xTQUFBmjhxol544QWFhYVd0Ri8Xq8cDoc8Hg9fywIAAKMF0j0Bh117QNgBAIDOIpDu4VmxAAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDBBx2e/bs0fjx4xUbGyubzabXX3/db7llWVq0aJFiYmLUvXt3paSk6PPPP/dbp6ysTFOnTpXdbldERIRmzpypioqKJu0IAABAZxdw2FVWVur666/XqlWr6l2+YsUKvfDCC1q7dq327dunnj17KjU1VefOnfOtM3XqVB06dEg7d+7U1q1btWfPHs2ePbvxewEAAADZLMuyGv1mm01btmzRhAkTJH13ti42Nlbz58/XL3/5S0mSx+NRdHS01q1bp8mTJ+vTTz9VfHy8PvzwQw0fPlyStH37do0dO1YnT55UbGzsZT/X6/XK4XDI4/HIbrc3dvgAAADtXiDd06y/sTt27JjcbrdSUlJ88xwOh5KTk5Wfny9Jys/PV0REhC/qJCklJUVBQUHat29fvdutqqqS1+v1mwAAAOCvWcPO7XZLkqKjo/3mR0dH+5a53W5FRUX5LQ8ODlZkZKRvnR/KycmRw+HwTXFxcc05bAAAACN0iKtis7Ky5PF4fNOJEyfaekgAAADtTrOGndPplCSVlpb6zS8tLfUtczqdOnXqlN/ympoalZWV+db5odDQUNntdr8JAAAA/po17AYOHCin06ldu3b55nm9Xu3bt08ul0uS5HK5dPbsWe3fv9+3zu7du1VXV6fk5OTmHA4AAECnEhzoGyoqKnTkyBHf62PHjqmgoECRkZHq16+f5s2bp1//+te69tprNXDgQD355JOKjY31XTk7dOhQjR49WrNmzdLatWt1/vx5paena/LkyVd0RSwAAADqF3DY/e1vf9Odd97pe52ZmSlJmjFjhtatW6fHH39clZWVmj17ts6ePavbbrtN27dvV7du3Xzv2bBhg9LT0zVy5EgFBQVp4sSJeuGFF5phdwAAADqvJt3Hrq1wHzsAANBZtNl97AAAANB2CDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBDNHnZPPfWUbDab3zRkyBDf8nPnziktLU29evVSWFiYJk6cqNLS0uYeBgAAQKfTImfsrrvuOpWUlPim9957z7csIyNDb775pjZv3qy8vDwVFxfrvvvua4lhAAAAdCrBLbLR4GA5nc6L5ns8Hr300kvauHGj7rrrLknSyy+/rKFDh2rv3r26+eabW2I4AAAAnUKLnLH7/PPPFRsbq6uvvlpTp05VUVGRJGn//v06f/68UlJSfOsOGTJE/fr1U35+foPbq6qqktfr9ZsAAADgr9nDLjk5WevWrdP27du1Zs0aHTt2TLfffrvKy8vldrsVEhKiiIgIv/dER0fL7XY3uM2cnBw5HA7fFBcX19zDBgAA6PCa/avYMWPG+P6dmJio5ORk9e/fX3/+85/VvXv3Rm0zKytLmZmZvtder5e4AwAA+IEWv91JRESEfvzjH+vIkSNyOp2qrq7W2bNn/dYpLS2t9zd5F4SGhsput/tNAAAA8NfiYVdRUaGjR48qJiZGSUlJ6tq1q3bt2uVbXlhYqKKiIrlcrpYeCgAAgNGa/avYX/7ylxo/frz69++v4uJiLV68WF26dNEDDzwgh8OhmTNnKjMzU5GRkbLb7Zo7d65cLhdXxAIAADRRs4fdyZMn9cADD+jMmTPq06ePbrvtNu3du1d9+vSRJP3ud79TUFCQJk6cqKqqKqWmpmr16tXNPQwAAIBOx2ZZltXWgwiU1+uVw+GQx+Ph93YAAMBogXQPz4oFAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0AAIAhCDsAAABDEHYAAACGIOwAAAAMQdgBAAAYgrADAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiizcJu1apVGjBggLp166bk5GR98MEHbTUUAAAAI7RJ2P3nf/6nMjMztXjxYn300Ue6/vrrlZqaqlOnTrXFcAAAAIzQJmH329/+VrNmzdIvfvELxcfHa+3aterRo4f++Mc/tsVwAAAAjNDqYVddXa39+/crJSXl/w8iKEgpKSnKz89v7eEAAAAYI7i1P/Drr79WbW2toqOj/eZHR0frs88+q/c9VVVVqqqq8r32eDySJK/X23IDBQAAaAcu9I5lWZddt9XDrjFycnL09NNPXzQ/Li6uDUYDAADQ+srLy+VwOC65TquHXe/evdWlSxeVlpb6zS8tLZXT6az3PVlZWcrMzPS9rqurU1lZmXr16iWbzdai40XL8nq9iouL04kTJ2S329t6OGgCjqU5OJbm4FiawbIslZeXKzY29rLrtnrYhYSEKCkpSbt27dKECRMkfRdqu3btUnp6er3vCQ0NVWhoqN+8iIiIFh4pWpPdbud/OobgWJqDY2kOjmXHd7kzdRe0yVexmZmZmjFjhoYPH66bbrpJK1euVGVlpX7xi1+0xXAAAACM0CZhN2nSJJ0+fVqLFi2S2+3WDTfcoO3bt190QQUAAACuXJtdPJGent7gV6/oPEJDQ7V48eKLvmpHx8OxNAfH0hwcy87HZl3JtbMAAABo99rsWbEAAABoXoQdAACAIQg7AAAAQxB2aHGrVq3SgAED1K1bNyUnJ+uDDz5ocN0//OEPuv3223XVVVfpqquuUkpKyiXXR+sK5Fh+36ZNm2Sz2Xz3rkTbC/RYnj17VmlpaYqJiVFoaKh+/OMf66233mql0eJSAj2WK1eu1ODBg9W9e3fFxcUpIyND586da6XRosVZQAvatGmTFRISYv3xj3+0Dh06ZM2aNcuKiIiwSktL611/ypQp1qpVq6yPP/7Y+vTTT62HHnrIcjgc1smTJ1t55PihQI/lBceOHbN+9KMfWbfffrt17733ts5gcUmBHsuqqipr+PDh1tixY6333nvPOnbsmJWbm2sVFBS08sjxQ4Eeyw0bNlihoaHWhg0brGPHjlk7duywYmJirIyMjFYeOVoKYYcWddNNN1lpaWm+17W1tVZsbKyVk5NzRe+vqamxwsPDrfXr17fUEHGFGnMsa2pqrFtuucX6t3/7N2vGjBmEXTsR6LFcs2aNdfXVV1vV1dWtNURcoUCPZVpamnXXXXf5zcvMzLRuvfXWFh0nWg9fxaLFVFdXa//+/UpJSfHNCwoKUkpKivLz869oG998843Onz+vyMjIlhomrkBjj+UzzzyjqKgozZw5szWGiSvQmGP5X//1X3K5XEpLS1N0dLSGDRumZcuWqba2trWGjXo05ljecsst2r9/v+/r2i+++EJvvfWWxo4d2ypjRstrsxsUw3xff/21amtrL3qiSHR0tD777LMr2sbChQsVGxvr9z8utL7GHMv33ntPL730kgoKClphhLhSjTmWX3zxhXbv3q2pU6fqrbfe0pEjR/RP//RPOn/+vBYvXtwaw0Y9GnMsp0yZoq+//lq33XabLMtSTU2NHnnkEf3qV79qjSGjFXDGDu3W8uXLtWnTJm3ZskXdunVr6+EgAOXl5Zo2bZr+8Ic/qHfv3m09HDRRXV2doqKi9OKLLyopKUmTJk3SE088obVr17b10BCg3NxcLVu2TKtXr9ZHH32k1157TX/961+1ZMmSth4amgln7NBievfurS5duqi0tNRvfmlpqZxO5yXf+9xzz2n58uV65513lJiY2JLDxBUI9FgePXpUx48f1/jx433z6urqJEnBwcEqLCzUoEGDWnbQqFdj/ruMiYlR165d1aVLF9+8oUOHyu12q7q6WiEhIS06ZtSvMcfyySef1LRp0/Twww9LkhISElRZWanZs2friSeeUFAQ53s6Oo4gWkxISIiSkpK0a9cu37y6ujrt2rVLLperwfetWLFCS5Ys0fbt2zV8+PDWGCouI9BjOWTIEB04cEAFBQW+6R/+4R905513qqCgQHFxca05fHxPY/67vPXWW3XkyBFfnEvS3//+d8XExBB1bagxx/Kbb765KN4uBLvFE0bN0NZXb8BsmzZtskJDQ61169ZZhw8ftmbPnm1FRERYbrfbsizLmjZtmvXP//zPvvWXL19uhYSEWK+++qpVUlLim8rLy9tqF/B/Aj2WP8RVse1HoMeyqKjICg8Pt9LT063CwkJr69atVlRUlPXrX/+6rXYB/yfQY7l48WIrPDzceuWVV6wvvvjCevvtt61BgwZZ//iP/9hWu4BmxlexaFGTJk3S6dOntWjRIrndbt1www3avn2778e+RUVFfn89rlmzRtXV1br//vv9trN48WI99dRTrTl0/ECgxxLtV6DHMi4uTjt27FBGRoYSExP1ox/9SI899pgWLlzYVruA/xPosczOzpbNZlN2dra++uor9enTR+PHj9fSpUvbahfQzGyWxblXAAAAE/DnNQAAgCEIOwAAAEMQdgAAAIYg7AAAAAxB2AEAABiCsAMAADAEYQcAAGAIwg4AAMAQhB0ANMIdd9yhefPmtfUwAMAPYQcAAGAIwg4AAMAQhB0AXEZlZaWmT5+usLAwxcTE6F/+5V/aekgAUC/CDgAuY8GCBcrLy9Mbb7yht99+W7m5ufroo4/aelgAcJHgth4AALRnFRUVeumll/SnP/1JI0eOlCStX79effv2beORAcDFOGMHAJdw9OhRVVdXKzk52TcvMjJSgwcPbsNRAUD9CDsAAABDEHYAcAmDBg1S165dtW/fPt+8//3f/9Xf//73NhwVANSP39gBwCWEhYVp5syZWrBggXr16qWoqCg98cQTCgri72IA7Q9hBwCX8eyzz6qiokLjx49XeHi45s+fL4/H09bDAoCL2CzLstp6EAAAAGg6vksAAAAwBGEHAABgCMIOAADAEIQdAACAIQg7AAAAQxB2AAAAhiDsAAAADEHYAQAAGIKwAwAAMARhBwAAYAjCDgAAwBCEHQAAgCH+H3ZHIE/CQxJeAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h4.projection(\"d\", name=\"4D -> 1D\").plot(\"scatter\", errors=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Support for pandas DataFrames" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# Load notorious example data set\n", "import seaborn as sns\n", "iris = sns.load_dataset('iris')" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "iris = sns.load_dataset('iris')\n", "iris_hist = physt.h2(iris[\"sepal_length\"], iris[\"sepal_width\"], \"pretty\", bin_count=[12, 7], name=\"Iris\")\n", "iris_hist.plot(show_zero=False, cmap=cm.gray_r, show_values=True, format_value=int);" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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